%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP153^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:24:22 AM UTC 2026
% Result : Theorem 63.49s 13.16s
% Output : CNFRefutation 63.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 74
% Syntax : Number of formulae : 3052 ( 794 unt; 0 typ; 0 def)
% Number of atoms : 33793 (13565 equ; 0 cnn)
% Maximal formula atoms : 10 ( 11 avg)
% Number of connectives : 63581 (14390 ~;11516 |; 115 &;37168 @)
% ( 0 <=>; 392 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 12 ( 11 usr)
% Number of type conns : 70 ( 70 >; 0 *; 0 +; 0 <<)
% Number of symbols : 152 ( 149 usr; 11 con; 0-5 aty)
% Number of variables : 10166 ( 78 ^;10064 !; 24 ?;10166 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_produc1572603623od_a_a,type,
produc1572603623od_a_a: $tType ).
thf(tp_produc1691597095_set_a,type,
produc1691597095_set_a: $tType ).
thf(tp_produc1990712039od_a_a,type,
produc1990712039od_a_a: $tType ).
thf(tp_product_prod_a_a,type,
product_prod_a_a: $tType ).
thf(tp_set_Pr1295299783od_a_a,type,
set_Pr1295299783od_a_a: $tType ).
thf(tp_set_Pr1948701895od_a_a,type,
set_Pr1948701895od_a_a: $tType ).
thf(tp_set_Pr2045688071_set_a,type,
set_Pr2045688071_set_a: $tType ).
thf(tp_set_Product_prod_a_a,type,
set_Product_prod_a_a: $tType ).
thf(tp_set_a,type,
set_a: $tType ).
thf(tp_set_set_a,type,
set_set_a: $tType ).
thf(tp_bNF_Ca850758276_set_a,type,
bNF_Ca850758276_set_a: set_Product_prod_a_a > ( a > set_a ) > $o ).
thf(tp_bot_bo1116205875od_a_a,type,
bot_bo1116205875od_a_a: set_Pr1948701895od_a_a ).
thf(tp_bot_bo1293121322_a_a_o,type,
bot_bo1293121322_a_a_o: product_prod_a_a > $o ).
thf(tp_bot_bo1519632275_set_a,type,
bot_bo1519632275_set_a: produc1691597095_set_a ).
thf(tp_bot_bo2131659635od_a_a,type,
bot_bo2131659635od_a_a: set_Product_prod_a_a ).
thf(tp_bot_bot_a_o,type,
bot_bot_a_o: a > $o ).
thf(tp_bot_bot_set_a,type,
bot_bot_set_a: set_a ).
thf(tp_bot_bot_set_set_a,type,
bot_bot_set_set_a: set_set_a ).
thf(tp_carrier,type,
carrier: set_a ).
thf(tp_collec1635618130od_a_a,type,
collec1635618130od_a_a: ( produc1572603623od_a_a > $o ) > set_Pr1948701895od_a_a ).
thf(tp_collec645855634od_a_a,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(tp_collect_a,type,
collect_a: ( a > $o ) > set_a ).
thf(tp_domain_a_a,type,
domain_a_a: set_Product_prod_a_a > set_a ).
thf(tp_id_on_1182990020od_a_a,type,
id_on_1182990020od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a ).
thf(tp_id_on_a,type,
id_on_a: set_a > set_Product_prod_a_a ).
thf(tp_insert1116662519od_a_a,type,
insert1116662519od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a ).
thf(tp_insert_a,type,
insert_a: a > set_a > set_a ).
thf(tp_is_empty_a,type,
is_empty_a: set_a > $o ).
thf(tp_is_sin877026331od_a_a,type,
is_sin877026331od_a_a: set_Product_prod_a_a > $o ).
thf(tp_is_singleton_a,type,
is_singleton_a: set_a > $o ).
thf(tp_member1899387664od_a_a,type,
member1899387664od_a_a: produc1990712039od_a_a > set_Pr1295299783od_a_a > $o ).
thf(tp_member2057358096od_a_a,type,
member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o ).
thf(tp_member449909584od_a_a,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(tp_member593450832_set_a,type,
member593450832_set_a: produc1691597095_set_a > set_Pr2045688071_set_a > $o ).
thf(tp_member_a,type,
member_a: a > set_a > $o ).
thf(tp_member_set_a,type,
member_set_a: set_a > set_set_a > $o ).
thf(tp_ord_le1824328871od_a_a,type,
ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).
thf(tp_ord_le318720350_set_a,type,
ord_le318720350_set_a: set_set_a > set_set_a > $o ).
thf(tp_ord_le456379495od_a_a,type,
ord_le456379495od_a_a: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > $o ).
thf(tp_ord_le486764743_set_a,type,
ord_le486764743_set_a: produc1691597095_set_a > produc1691597095_set_a > $o ).
thf(tp_ord_less_eq_set_a,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(tp_order_359341630od_a_a,type,
order_359341630od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(tp_order_491428350od_a_a,type,
order_491428350od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(tp_order_653178931r_on_a,type,
order_653178931r_on_a: set_a > set_Product_prod_a_a > $o ).
thf(tp_order_816746613_set_a,type,
order_816746613_set_a: set_set_a > set_Pr2045688071_set_a > $o ).
thf(tp_order_Greatest_set_a,type,
order_Greatest_set_a: ( set_a > $o ) > set_a ).
thf(tp_order_preorder_on_a,type,
order_preorder_on_a: set_a > set_Product_prod_a_a > $o ).
thf(tp_order_under_a,type,
order_under_a: set_Product_prod_a_a > a > set_a ).
thf(tp_prefer1064779160od_a_a,type,
prefer1064779160od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(tp_prefer1203288218_set_a,type,
prefer1203288218_set_a: set_a > set_set_a > set_Pr2045688071_set_a > set_set_a ).
thf(tp_prefer1292084992ence_a,type,
prefer1292084992ence_a: set_a > set_Product_prod_a_a > $o ).
thf(tp_prefer1338892073od_a_a,type,
prefer1338892073od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(tp_prefer1409946857od_a_a,type,
prefer1409946857od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(tp_prefer1498087410od_a_a,type,
prefer1498087410od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Product_prod_a_a ).
thf(tp_prefer161218362good_a,type,
prefer161218362good_a: a > set_a > set_Product_prod_a_a > set_a ).
thf(tp_prefer1671525929_set_a,type,
prefer1671525929_set_a: set_a > set_set_a > set_Pr2045688071_set_a > set_set_a ).
thf(tp_prefer1676310729than_a,type,
prefer1676310729than_a: a > set_a > set_Product_prod_a_a > set_a ).
thf(tp_prefer1710114912_set_a,type,
prefer1710114912_set_a: set_set_a > set_Pr2045688071_set_a > $o ).
thf(tp_prefer1828051771od_a_a,type,
prefer1828051771od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(tp_prefer1867335523od_a_a,type,
prefer1867335523od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > set_Pr1948701895od_a_a ).
thf(tp_prefer270414042_set_a,type,
prefer270414042_set_a: set_a > set_set_a > set_Pr2045688071_set_a > set_set_a ).
thf(tp_prefer436369274d_as_a,type,
prefer436369274d_as_a: a > set_a > set_Product_prod_a_a > set_a ).
thf(tp_prefer477097315od_a_a,type,
prefer477097315od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Product_prod_a_a ).
thf(tp_prefer484977842_set_a,type,
prefer484977842_set_a: set_set_a > set_Pr2045688071_set_a > $o ).
thf(tp_prefer55414563od_a_a,type,
prefer55414563od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > set_Pr1948701895od_a_a ).
thf(tp_prefer580340847ioms_a,type,
prefer580340847ioms_a: set_a > set_Product_prod_a_a > $o ).
thf(tp_prefer697821563od_a_a,type,
prefer697821563od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(tp_prefer719835986ence_a,type,
prefer719835986ence_a: set_a > set_Product_prod_a_a > $o ).
thf(tp_prefer74720675od_a_a,type,
prefer74720675od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Product_prod_a_a ).
thf(tp_prefer926864306od_a_a,type,
prefer926864306od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > set_Pr1948701895od_a_a ).
thf(tp_produc1474507607od_a_a,type,
produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a ).
thf(tp_produc1926412547_set_a,type,
produc1926412547_set_a: produc1691597095_set_a > set_a ).
thf(tp_produc1928581911_set_a,type,
produc1928581911_set_a: set_a > set_a > produc1691597095_set_a ).
thf(tp_produc1935643479od_a_a,type,
produc1935643479od_a_a: produc1572603623od_a_a > produc1572603623od_a_a > produc1990712039od_a_a ).
thf(tp_produc918972485_set_a,type,
produc918972485_set_a: produc1691597095_set_a > set_a ).
thf(tp_product_Pair_a_a,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(tp_product_fst_a_a,type,
product_fst_a_a: product_prod_a_a > a ).
thf(tp_product_snd_a_a,type,
product_snd_a_a: product_prod_a_a > a ).
thf(tp_product_swap_a_a,type,
product_swap_a_a: product_prod_a_a > product_prod_a_a ).
thf(tp_range_a_a,type,
range_a_a: set_Product_prod_a_a > set_a ).
thf(tp_refl_o1298442278od_a_a,type,
refl_o1298442278od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(tp_refl_o198693862od_a_a,type,
refl_o198693862od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(tp_refl_on_a,type,
refl_on_a: set_a > set_Product_prod_a_a > $o ).
thf(tp_refl_on_set_a,type,
refl_on_set_a: set_set_a > set_Pr2045688071_set_a > $o ).
thf(tp_relation,type,
relation: set_Product_prod_a_a ).
thf(tp_sK10_SY362,type,
sK10_SY362: product_prod_a_a > set_a > a ).
thf(tp_sK11_SY370,type,
sK11_SY370: a > set_a > set_a ).
thf(tp_sK12_SY218,type,
sK12_SY218: set_a > a ).
thf(tp_sK13_SY411,type,
sK13_SY411: set_a > a ).
thf(tp_sK14_SY389,type,
sK14_SY389: a > ( a > $o ) > set_Product_prod_a_a > a ).
thf(tp_sK15_SY403,type,
sK15_SY403: set_Product_prod_a_a > set_a > a ).
thf(tp_sK16_SY412,type,
sK16_SY412: set_Product_prod_a_a > ( a > $o ) > a > a ).
thf(tp_sK17_SY406,type,
sK17_SY406: set_a > set_a > a ).
thf(tp_sK18_SY407,type,
sK18_SY407: set_a > set_a > a ).
thf(tp_sK19_SY414,type,
sK19_SY414: set_Product_prod_a_a > set_a > a ).
thf(tp_sK1_SY210,type,
sK1_SY210: set_a > a ).
thf(tp_sK20_SY345,type,
sK20_SY345: set_Product_prod_a_a > a > a ).
thf(tp_sK21_SY349,type,
sK21_SY349: set_Product_prod_a_a > a > a ).
thf(tp_sK22_SY288,type,
sK22_SY288: set_a > a ).
thf(tp_sK23_SY288,type,
sK23_SY288: a > set_a > a ).
thf(tp_sK24_SY415,type,
sK24_SY415: set_Product_prod_a_a > a > a ).
thf(tp_sK25_SY349,type,
sK25_SY349: a > set_Product_prod_a_a > a > a ).
thf(tp_sK26_SY345,type,
sK26_SY345: a > a > set_Product_prod_a_a > a > a ).
thf(tp_sK27_SY422,type,
sK27_SY422: set_Product_prod_a_a > a > a > a > a ).
thf(tp_sK28_SY405,type,
sK28_SY405: a > set_a > a > set_a > set_a ).
thf(tp_sK29_SY405,type,
sK29_SY405: a > set_a > a > set_a > set_a ).
thf(tp_sK2_SY257,type,
sK2_SY257: set_a > a ).
thf(tp_sK30_SY405,type,
sK30_SY405: a > set_a > a > set_a > set_a ).
thf(tp_sK31_SY405,type,
sK31_SY405: set_a > a > set_a > a > set_a > set_a ).
thf(tp_sK32_SY405,type,
sK32_SY405: set_a > a > set_a > a > set_a > set_a ).
thf(tp_sK33_SY482,type,
sK33_SY482: set_a > a ).
thf(tp_sK34_SY497,type,
sK34_SY497: set_a > a ).
thf(tp_sK35_SY558,type,
sK35_SY558: set_Product_prod_a_a > set_a > a ).
thf(tp_sK36_SY583,type,
sK36_SY583: set_a > set_a > a ).
thf(tp_sK37_SY426,type,
sK37_SY426: set_a > a ).
thf(tp_sK38_SY556,type,
sK38_SY556: product_prod_a_a > set_a > a ).
thf(tp_sK39_SY640,type,
sK39_SY640: set_a > set_Product_prod_a_a > a ).
thf(tp_sK3_SY324,type,
sK3_SY324: set_a > set_a > a ).
thf(tp_sK40_SY560,type,
sK40_SY560: a > set_a > set_a ).
thf(tp_sK41_SY569,type,
sK41_SY569: set_Product_prod_a_a > a > a ).
thf(tp_sK42_SY589,type,
sK42_SY589: set_Product_prod_a_a > a > a ).
thf(tp_sK43_SY607,type,
sK43_SY607: a > set_a > set_a ).
thf(tp_sK44_SY516,type,
sK44_SY516: set_a > a ).
thf(tp_sK45_SY626,type,
sK45_SY626: a > ( a > $o ) > set_Product_prod_a_a > a ).
thf(tp_sK46_SY642,type,
sK46_SY642: set_a > a ).
thf(tp_sK47_SY633,type,
sK47_SY633: set_a > set_a > a ).
thf(tp_sK48_SY635,type,
sK48_SY635: set_a > set_a > a ).
thf(tp_sK49_SY636,type,
sK49_SY636: set_Product_prod_a_a > set_a > a ).
thf(tp_sK4_SY336,type,
sK4_SY336: set_Product_prod_a_a > set_a > a ).
thf(tp_sK50_SY644,type,
sK50_SY644: set_Product_prod_a_a > ( a > $o ) > a > a ).
thf(tp_sK51_SY551,type,
sK51_SY551: set_Product_prod_a_a > a > a ).
thf(tp_sK52_SY645,type,
sK52_SY645: set_Product_prod_a_a > set_a > a ).
thf(tp_sK53_SY509,type,
sK53_SY509: set_a > a ).
thf(tp_sK54_SY595,type,
sK54_SY595: set_Product_prod_a_a > a > a ).
thf(tp_sK55_SY509,type,
sK55_SY509: a > set_a > a ).
thf(tp_sK56_SY646,type,
sK56_SY646: set_Product_prod_a_a > a > a ).
thf(tp_sK57_SY595,type,
sK57_SY595: a > set_Product_prod_a_a > a > a ).
thf(tp_sK58_SY551,type,
sK58_SY551: a > a > set_Product_prod_a_a > a > a ).
thf(tp_sK59_SY653,type,
sK59_SY653: set_Product_prod_a_a > a > a > a > a ).
thf(tp_sK5_SY195,type,
sK5_SY195: set_a > a ).
thf(tp_sK60_SY638,type,
sK60_SY638: a > set_a > a > set_a > set_a ).
thf(tp_sK61_SY638,type,
sK61_SY638: a > set_a > a > set_a > set_a ).
thf(tp_sK62_SY638,type,
sK62_SY638: a > set_a > a > set_a > set_a ).
thf(tp_sK63_SY638,type,
sK63_SY638: set_a > a > set_a > a > set_a > set_a ).
thf(tp_sK64_SY638,type,
sK64_SY638: set_a > a > set_a > a > set_a > set_a ).
thf(tp_sK6_SY332,type,
sK6_SY332: set_Product_prod_a_a > a > a ).
thf(tp_sK7_SY334,type,
sK7_SY334: set_Product_prod_a_a > a > a ).
thf(tp_sK8_SY409,type,
sK8_SY409: set_a > set_Product_prod_a_a > a ).
thf(tp_sK9_SY357,type,
sK9_SY357: a > set_a > set_a ).
thf(tp_the_elem_a,type,
the_elem_a: set_a > a ).
thf(tp_total_1340260971od_a_a,type,
total_1340260971od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(tp_total_1490170027od_a_a,type,
total_1490170027od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(tp_total_on_a,type,
total_on_a: set_a > set_Product_prod_a_a > $o ).
thf(tp_total_on_set_a,type,
total_on_set_a: set_set_a > set_Pr2045688071_set_a > $o ).
thf(tp_trans_a,type,
trans_a: set_Product_prod_a_a > $o ).
thf(tp_uminus1440301054od_a_a,type,
uminus1440301054od_a_a: set_Product_prod_a_a > set_Product_prod_a_a ).
thf(tp_uminus_uminus_set_a,type,
uminus_uminus_set_a: set_a > set_a ).
thf(tp_y,type,
y: a ).
thf(tp_z,type,
z: a ).
thf(5,axiom,
! [C2: a,A3: set_a] :
( ~ ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ ( uminus_uminus_set_a @ A3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_350_ComplI) ).
thf(7,axiom,
! [C2: a,A3: set_a] :
( ( member_a @ C2 @ ( uminus_uminus_set_a @ A3 ) )
= ( ~ ( member_a @ C2 @ A3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_348_Compl__iff) ).
thf(11,axiom,
! [X2: a,R: set_Product_prod_a_a,P: a > $o] :
( ( member_a @ X2 @ ( range_a_a @ R ) )
=> ( ! [A5: a,B4: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ A5 @ B4 ) @ R )
=> ( P @ B4 ) )
=> ( P @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_344_Range_Oinducts) ).
thf(12,axiom,
! [A: a,B: a,R: set_Product_prod_a_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ A @ B ) @ R )
=> ( member_a @ B @ ( range_a_a @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_343_Range_Ointros) ).
thf(13,axiom,
! [A: a,R: set_Product_prod_a_a] :
( ( member_a @ A @ ( range_a_a @ R ) )
= ( ? [A6: a,B6: a] :
( ( A = B6 )
& ( member449909584od_a_a @ ( product_Pair_a_a @ A6 @ B6 ) @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_342_Range_Osimps) ).
thf(14,axiom,
! [A: a,R: set_Product_prod_a_a] :
( ( member_a @ A @ ( range_a_a @ R ) )
=> ~ ! [A5: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ A5 @ A ) @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_341_Range_Ocases) ).
thf(15,axiom,
! [A: a,R: set_Product_prod_a_a] :
( ( member_a @ A @ ( range_a_a @ R ) )
= ( ? [Y2: a] : ( member449909584od_a_a @ ( product_Pair_a_a @ Y2 @ A ) @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_340_Range__iff) ).
thf(16,axiom,
! [B: a,R: set_Product_prod_a_a] :
( ( member_a @ B @ ( range_a_a @ R ) )
=> ~ ! [A5: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ A5 @ B ) @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_339_RangeE) ).
thf(28,axiom,
! [A3: set_a] :
( ( A3 != bot_bot_set_a )
=> ( ! [X4: a,Y3: a] :
( ( member_a @ X4 @ A3 )
=> ( ( member_a @ Y3 @ A3 )
=> ( X4 = Y3 ) ) )
=> ( is_singleton_a @ A3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_327_is__singletonI_H) ).
thf(47,axiom,
! [A: a,B: a,A3: set_a] :
( ( member_a @ A @ ( insert_a @ B @ A3 ) )
=> ( ( A != B )
=> ( member_a @ A @ A3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_308_insertE) ).
thf(49,axiom,
! [A: a,B3: set_a] : ( member_a @ A @ ( insert_a @ A @ B3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_306_insertI1) ).
thf(51,axiom,
! [A: a,B3: set_a,B: a] :
( ( member_a @ A @ B3 )
=> ( member_a @ A @ ( insert_a @ B @ B3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_304_insertI2) ).
thf(53,axiom,
! [X2: a,A3: set_a] :
( ( member_a @ X2 @ A3 )
=> ~ ! [B7: set_a] :
( ( A3
= ( insert_a @ X2 @ B7 ) )
=> ( member_a @ X2 @ B7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_302_Set_Oset__insert) ).
thf(55,axiom,
! [X2: a,A3: set_a,B3: set_a] :
( ~ ( member_a @ X2 @ A3 )
=> ( ~ ( member_a @ X2 @ B3 )
=> ( ( ( insert_a @ X2 @ A3 )
= ( insert_a @ X2 @ B3 ) )
= ( A3 = B3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_300_insert__ident) ).
thf(57,axiom,
! [A: a,A3: set_a] :
( ( member_a @ A @ A3 )
=> ( ( insert_a @ A @ A3 )
= A3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_298_insert__absorb) ).
thf(59,axiom,
! [A: a,A3: set_a,B: a,B3: set_a] :
( ~ ( member_a @ A @ A3 )
=> ( ~ ( member_a @ B @ B3 )
=> ( ( ( insert_a @ A @ A3 )
= ( insert_a @ B @ B3 ) )
= ( ( ( A = B )
=> ( A3 = B3 ) )
& ( ( A != B )
=> ? [C4: set_a] :
( ( A3
= ( insert_a @ B @ C4 ) )
& ~ ( member_a @ B @ C4 )
& ( B3
= ( insert_a @ A @ C4 ) )
& ~ ( member_a @ A @ C4 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_296_insert__eq__iff) ).
thf(61,axiom,
! [A: a,A3: set_a] :
( ( member_a @ A @ A3 )
=> ? [B7: set_a] :
( ( A3
= ( insert_a @ A @ B7 ) )
& ~ ( member_a @ A @ B7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_mk__disjoint__insert) ).
thf(63,axiom,
! [X2: a,A3: set_a,B3: set_a] :
( ~ ( member_a @ X2 @ A3 )
=> ( ( ord_less_eq_set_a @ A3 @ ( insert_a @ X2 @ B3 ) )
= ( ord_less_eq_set_a @ A3 @ B3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_292_subset__insert) ).
thf(67,axiom,
! [B: a,A: a] :
( ( member_a @ B @ ( insert_a @ A @ bot_bot_set_a ) )
=> ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_singletonD) ).
thf(69,axiom,
! [B: a,A: a] :
( ( member_a @ B @ ( insert_a @ A @ bot_bot_set_a ) )
= ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_286_singleton__iff) ).
thf(75,axiom,
! [X2: a,A3: set_a,X6: set_a] :
( ( member_a @ X2 @ A3 )
=> ( ( ord_less_eq_set_a @ X6 @ A3 )
=> ( ord_less_eq_set_a @ ( insert_a @ X2 @ X6 ) @ A3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_280_insert__subsetI) ).
thf(80,axiom,
! [X2: a,A3: set_a,B3: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ X2 @ A3 ) @ B3 )
= ( ( member_a @ X2 @ B3 )
& ( ord_less_eq_set_a @ A3 @ B3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_275_insert__subset) ).
thf(82,axiom,
! [A: a] : ( member_a @ A @ ( insert_a @ A @ bot_bot_set_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_273_singletonI) ).
thf(85,axiom,
! [A: a,B3: set_a,B: a] :
( ( ~ ( member_a @ A @ B3 )
=> ( A = B ) )
=> ( member_a @ A @ ( insert_a @ B @ B3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_270_insertCI) ).
thf(87,axiom,
! [A: a,B: a,A3: set_a] :
( ( member_a @ A @ ( insert_a @ B @ A3 ) )
= ( ( A = B )
| ( member_a @ A @ A3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_insert__iff) ).
thf(94,axiom,
! [C2: product_prod_a_a,A3: set_a] :
( ( member449909584od_a_a @ C2 @ ( id_on_a @ A3 ) )
=> ~ ! [X4: a] :
( ( member_a @ X4 @ A3 )
=> ( C2
!= ( product_Pair_a_a @ X4 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_Id__onE) ).
thf(96,axiom,
! [A: a,B: a,A3: set_a] :
( ( A = B )
=> ( ( member_a @ A @ A3 )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ A @ B ) @ ( id_on_a @ A3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_259_Id__on__eqI) ).
thf(98,axiom,
! [X2: a,Y: a,A3: set_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ ( id_on_a @ A3 ) )
= ( ( X2 = Y )
& ( member_a @ X2 @ A3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_257_Id__on__iff) ).
thf(100,axiom,
! [A: a,A3: set_a] :
( ( member_a @ A @ A3 )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ A @ A ) @ ( id_on_a @ A3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_255_Id__onI) ).
thf(133,axiom,
( bot_bot_a_o
= ( ^ [X3: a] : ( member_a @ X3 @ bot_bot_set_a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_222_bot__empty__eq) ).
thf(139,axiom,
! [A3: set_a] :
( ! [X4: a] :
~ ( member_a @ X4 @ A3 )
=> ( ord_less_eq_set_a @ A3 @ bot_bot_set_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_subset__emptyI) ).
thf(144,axiom,
! [A3: set_a,B3: set_a,X2: a] :
( ( ord_less_eq_set_a @ A3 @ B3 )
=> ( ( member_a @ X2 @ A3 )
=> ( member_a @ X2 @ B3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_211_in__mono) ).
thf(146,axiom,
! [A3: set_a,B3: set_a,C2: a] :
( ( ord_less_eq_set_a @ A3 @ B3 )
=> ( ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ B3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_subsetD) ).
thf(149,axiom,
( ord_less_eq_set_a
= ( ^ [A4: set_a,B5: set_a] :
! [X3: a] :
( ( member_a @ X3 @ A4 )
=> ( member_a @ X3 @ B5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_subset__eq) ).
thf(153,axiom,
( ord_less_eq_set_a
= ( ^ [A4: set_a,B5: set_a] :
! [T: a] :
( ( member_a @ T @ A4 )
=> ( member_a @ T @ B5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_202_subset__iff) ).
thf(160,axiom,
! [A: a] :
~ ( member_a @ A @ bot_bot_set_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195_emptyE) ).
thf(162,axiom,
! [A3: set_a,A: a] :
( ( A3 = bot_bot_set_a )
=> ~ ( member_a @ A @ A3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_equals0D) ).
thf(164,axiom,
! [A3: set_a] :
( ! [Y3: a] :
~ ( member_a @ Y3 @ A3 )
=> ( A3 = bot_bot_set_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_191_equals0I) ).
thf(166,axiom,
! [A3: set_a] :
( ( ? [X3: a] : ( member_a @ X3 @ A3 ) )
= ( A3 != bot_bot_set_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_ex__in__conv) ).
thf(171,axiom,
! [A3: set_a] :
( ( ! [X3: a] :
~ ( member_a @ X3 @ A3 ) )
= ( A3 = bot_bot_set_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_all__not__in__conv) ).
thf(173,axiom,
! [C2: a] :
~ ( member_a @ C2 @ bot_bot_set_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_empty__iff) ).
thf(176,axiom,
! [A3: set_a,B3: set_a] :
( ! [X4: a] :
( ( member_a @ X4 @ A3 )
=> ( member_a @ X4 @ B3 ) )
=> ( ord_less_eq_set_a @ A3 @ B3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_179_subsetI) ).
thf(200,axiom,
! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( Carrier != bot_bot_set_a )
=> ( ( member_a @ X2 @ Carrier )
=> ( ( prefer1676310729than_a @ X2 @ Carrier @ Relation )
!= bot_bot_set_a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_155_rational__preference_Ono__better__than__nonepty) ).
thf(215,axiom,
! [Y: a,X2: a] :
( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ Y @ carrier @ relation ) @ ( prefer1676310729than_a @ X2 @ carrier @ relation ) )
| ( ord_less_eq_set_a @ ( prefer1676310729than_a @ X2 @ carrier @ relation ) @ ( prefer1676310729than_a @ Y @ carrier @ relation ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_140_nbt__nest) ).
thf(216,axiom,
! [X2: a] :
( ( carrier != bot_bot_set_a )
=> ( ( member_a @ X2 @ carrier )
=> ( ( prefer1676310729than_a @ X2 @ carrier @ relation )
!= bot_bot_set_a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_139_no__better__than__nonepty) ).
thf(242,axiom,
! [A3: set_a] :
( ( collect_a
@ ^ [X3: a] : ( member_a @ X3 @ A3 ) )
= A3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_Collect__mem__eq) ).
thf(245,axiom,
! [A: a,P: a > $o] :
( ( member_a @ A @ ( collect_a @ P ) )
= ( P @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_mem__Collect__eq) ).
thf(253,axiom,
! [X2: a,Y: a,B3: set_a,Pr: set_Product_prod_a_a] :
( ( member_a @ X2 @ ( prefer161218362good_a @ Y @ B3 @ Pr ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Pr ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_at__lst__asgd__ge) ).
thf(257,axiom,
! [Z: a,Y: a,B3: set_a,Pr: set_Product_prod_a_a] :
( ( member_a @ Z @ ( prefer161218362good_a @ Y @ B3 @ Pr ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ Y ) @ Pr ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_at__least__as__goodD) ).
thf(261,axiom,
! [A3: set_a,R: set_Product_prod_a_a,A: a,B: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ A @ B ) @ R )
=> ( ( member_a @ A @ A3 )
& ( member_a @ B @ A3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_refl__on__domain) ).
thf(265,axiom,
! [A3: set_a,R: set_Product_prod_a_a,X2: a,Y: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ R )
=> ( member_a @ Y @ A3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_refl__onD2) ).
thf(269,axiom,
! [A3: set_a,R: set_Product_prod_a_a,X2: a,Y: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ R )
=> ( member_a @ X2 @ A3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_refl__onD1) ).
thf(273,axiom,
! [A3: set_a,R: set_Product_prod_a_a,A: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member_a @ A @ A3 )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ A @ A ) @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_refl__onD) ).
thf(277,axiom,
( total_on_a
= ( ^ [A4: set_a,R2: set_Product_prod_a_a] :
! [X3: a] :
( ( member_a @ X3 @ A4 )
=> ! [Y2: a] :
( ( member_a @ Y2 @ A4 )
=> ( ( X3 != Y2 )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X3 @ Y2 ) @ R2 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y2 @ X3 ) @ R2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_total__on__def) ).
thf(280,axiom,
! [A3: set_a,R: set_Product_prod_a_a] :
( ! [X4: a,Y3: a] :
( ( member_a @ X4 @ A3 )
=> ( ( member_a @ Y3 @ A3 )
=> ( ( X4 != Y3 )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X4 @ Y3 ) @ R )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y3 @ X4 ) @ R ) ) ) ) )
=> ( total_on_a @ A3 @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_total__onI) ).
thf(296,axiom,
! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a,Z: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( ( member_a @ X2 @ Carrier )
& ( member_a @ Y @ Carrier )
& ( member_a @ Z @ Carrier ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ X2 ) @ Relation ) )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ Y ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ Relation ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_rational__preference_Ostrict__is__neg__transitive) ).
thf(300,axiom,
! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( ( member_a @ X2 @ Carrier )
& ( member_a @ Y @ Carrier ) )
=> ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) )
= ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_rational__preference_Ostrict__not__refl__weak) ).
thf(304,axiom,
! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a,Z: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( ( member_a @ X2 @ Carrier )
& ( member_a @ Y @ Carrier )
& ( member_a @ Z @ Carrier ) )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ Relation )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ Relation ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_rational__preference_Oweak__is__transitive) ).
thf(311,axiom,
! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( member_a @ X2 @ Carrier )
=> ( ( member_a @ Y @ Carrier )
=> ( ( X2 != Y )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_rational__preference_OcompleteD) ).
thf(317,axiom,
! [Carrier: set_a,Relation: set_Product_prod_a_a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ! [X: a] :
( ( member_a @ X @ Carrier )
=> ! [Xa: a] :
( ( member_a @ Xa @ Carrier )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X @ Xa ) @ Relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Xa @ X ) @ Relation ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_rational__preference_Ocompl) ).
thf(325,axiom,
! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a] :
( ( prefer1292084992ence_a @ Carrier @ Relation )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
=> ( member_a @ X2 @ Carrier ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_preference_Onot__outside) ).
thf(344,axiom,
! [X2: a,Y: a] :
( ( ( member_a @ X2 @ carrier )
& ( member_a @ Y @ carrier ) )
=> ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) )
= ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_strict__not__refl__weak) ).
thf(345,axiom,
! [X2: a,Y: a,Z: a] :
( ( ( member_a @ X2 @ carrier )
& ( member_a @ Y @ carrier )
& ( member_a @ Z @ carrier ) )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ relation )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ relation ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_weak__is__transitive) ).
thf(346,axiom,
! [X2: a,Y: a,Z: a] :
( ( ( member_a @ X2 @ carrier )
& ( member_a @ Y @ carrier )
& ( member_a @ Z @ carrier ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ X2 ) @ relation ) )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ Y ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ relation ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_strict__is__neg__transitive) ).
thf(347,axiom,
! [X2: a,Y: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
=> ( member_a @ X2 @ carrier ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_not__outside) ).
thf(348,axiom,
! [X2: a,Y: a] :
( ( member_a @ X2 @ carrier )
=> ( ( member_a @ Y @ carrier )
=> ( ( X2 != Y )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_completeD) ).
thf(349,axiom,
! [X: a] :
( ( member_a @ X @ carrier )
=> ! [Xa: a] :
( ( member_a @ Xa @ carrier )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X @ Xa ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Xa @ X ) @ relation ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_compl) ).
thf(350,axiom,
refl_on_a @ carrier @ relation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_reflexivity) ).
thf(351,axiom,
total_on_a @ carrier @ relation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_total) ).
thf(352,axiom,
order_preorder_on_a @ carrier @ relation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_trans__refl) ).
thf(353,axiom,
prefer1292084992ence_a @ carrier @ relation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_preference__axioms) ).
thf(354,axiom,
prefer719835986ence_a @ carrier @ relation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_rational__preference__axioms) ).
thf(355,axiom,
( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
& ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms) ).
thf(356,conjecture,
( ( member_a @ z @ carrier )
& ( member_a @ y @ carrier ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(357,negated_conjecture,
( ( ( member_a @ z @ carrier )
& ( member_a @ y @ carrier ) )
= $false ),
inference(negate_conjecture,[status(cth)],[356]) ).
thf(358,plain,
( ( ( member_a @ z @ carrier )
& ( member_a @ y @ carrier ) )
= $false ),
inference(unfold_def,[status(thm)],[357]) ).
thf(359,plain,
( ( ! [C2: a,A3: set_a] :
( ~ ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ ( uminus_uminus_set_a @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(360,plain,
( ( ! [C2: a,A3: set_a] :
( ( member_a @ C2 @ ( uminus_uminus_set_a @ A3 ) )
= ( ~ ( member_a @ C2 @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(361,plain,
( ( ! [X2: a,R: set_Product_prod_a_a,P: a > $o] :
( ( member_a @ X2 @ ( range_a_a @ R ) )
=> ( ! [A5: a,B4: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ A5 @ B4 ) @ R )
=> ( P @ B4 ) )
=> ( P @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(362,plain,
( ( ! [A: a,B: a,R: set_Product_prod_a_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ A @ B ) @ R )
=> ( member_a @ B @ ( range_a_a @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(363,plain,
( ( ! [A: a,R: set_Product_prod_a_a] :
( ( member_a @ A @ ( range_a_a @ R ) )
= ( ? [A6: a,B6: a] :
( ( A = B6 )
& ( member449909584od_a_a @ ( product_Pair_a_a @ A6 @ B6 ) @ R ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(364,plain,
( ( ! [A: a,R: set_Product_prod_a_a] :
( ( member_a @ A @ ( range_a_a @ R ) )
=> ~ ! [A5: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ A5 @ A ) @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(365,plain,
( ( ! [A: a,R: set_Product_prod_a_a] :
( ( member_a @ A @ ( range_a_a @ R ) )
= ( ? [Y2: a] : ( member449909584od_a_a @ ( product_Pair_a_a @ Y2 @ A ) @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(366,plain,
( ( ! [B: a,R: set_Product_prod_a_a] :
( ( member_a @ B @ ( range_a_a @ R ) )
=> ~ ! [A5: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ A5 @ B ) @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(367,plain,
( ( ! [A3: set_a] :
( ( A3 != bot_bot_set_a )
=> ( ! [X4: a,Y3: a] :
( ( member_a @ X4 @ A3 )
=> ( ( member_a @ Y3 @ A3 )
=> ( X4 = Y3 ) ) )
=> ( is_singleton_a @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(368,plain,
( ( ! [A: a,B: a,A3: set_a] :
( ( member_a @ A @ ( insert_a @ B @ A3 ) )
=> ( ( A != B )
=> ( member_a @ A @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(369,plain,
( ( ! [A: a,B3: set_a] : ( member_a @ A @ ( insert_a @ A @ B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(370,plain,
( ( ! [A: a,B3: set_a,B: a] :
( ( member_a @ A @ B3 )
=> ( member_a @ A @ ( insert_a @ B @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(371,plain,
( ( ! [X2: a,A3: set_a] :
( ( member_a @ X2 @ A3 )
=> ~ ! [B7: set_a] :
( ( A3
= ( insert_a @ X2 @ B7 ) )
=> ( member_a @ X2 @ B7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(372,plain,
( ( ! [X2: a,A3: set_a,B3: set_a] :
( ~ ( member_a @ X2 @ A3 )
=> ( ~ ( member_a @ X2 @ B3 )
=> ( ( ( insert_a @ X2 @ A3 )
= ( insert_a @ X2 @ B3 ) )
= ( A3 = B3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(373,plain,
( ( ! [A: a,A3: set_a] :
( ( member_a @ A @ A3 )
=> ( ( insert_a @ A @ A3 )
= A3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(374,plain,
( ( ! [A: a,A3: set_a,B: a,B3: set_a] :
( ~ ( member_a @ A @ A3 )
=> ( ~ ( member_a @ B @ B3 )
=> ( ( ( insert_a @ A @ A3 )
= ( insert_a @ B @ B3 ) )
= ( ( ( A = B )
=> ( A3 = B3 ) )
& ( ( A != B )
=> ? [C4: set_a] :
( ( A3
= ( insert_a @ B @ C4 ) )
& ~ ( member_a @ B @ C4 )
& ( B3
= ( insert_a @ A @ C4 ) )
& ~ ( member_a @ A @ C4 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(375,plain,
( ( ! [A: a,A3: set_a] :
( ( member_a @ A @ A3 )
=> ? [B7: set_a] :
( ( A3
= ( insert_a @ A @ B7 ) )
& ~ ( member_a @ A @ B7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(376,plain,
( ( ! [X2: a,A3: set_a,B3: set_a] :
( ~ ( member_a @ X2 @ A3 )
=> ( ( ord_less_eq_set_a @ A3 @ ( insert_a @ X2 @ B3 ) )
= ( ord_less_eq_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(377,plain,
( ( ! [B: a,A: a] :
( ( member_a @ B @ ( insert_a @ A @ bot_bot_set_a ) )
=> ( B = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(378,plain,
( ( ! [B: a,A: a] :
( ( member_a @ B @ ( insert_a @ A @ bot_bot_set_a ) )
= ( B = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(379,plain,
( ( ! [X2: a,A3: set_a,X6: set_a] :
( ( member_a @ X2 @ A3 )
=> ( ( ord_less_eq_set_a @ X6 @ A3 )
=> ( ord_less_eq_set_a @ ( insert_a @ X2 @ X6 ) @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(380,plain,
( ( ! [X2: a,A3: set_a,B3: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ X2 @ A3 ) @ B3 )
= ( ( member_a @ X2 @ B3 )
& ( ord_less_eq_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(381,plain,
( ( ! [A: a] : ( member_a @ A @ ( insert_a @ A @ bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(382,plain,
( ( ! [A: a,B3: set_a,B: a] :
( ( ~ ( member_a @ A @ B3 )
=> ( A = B ) )
=> ( member_a @ A @ ( insert_a @ B @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(383,plain,
( ( ! [A: a,B: a,A3: set_a] :
( ( member_a @ A @ ( insert_a @ B @ A3 ) )
= ( ( A = B )
| ( member_a @ A @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(384,plain,
( ( ! [C2: product_prod_a_a,A3: set_a] :
( ( member449909584od_a_a @ C2 @ ( id_on_a @ A3 ) )
=> ~ ! [X4: a] :
( ( member_a @ X4 @ A3 )
=> ( C2
!= ( product_Pair_a_a @ X4 @ X4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(385,plain,
( ( ! [A: a,B: a,A3: set_a] :
( ( A = B )
=> ( ( member_a @ A @ A3 )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ A @ B ) @ ( id_on_a @ A3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(386,plain,
( ( ! [X2: a,Y: a,A3: set_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ ( id_on_a @ A3 ) )
= ( ( X2 = Y )
& ( member_a @ X2 @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(387,plain,
( ( ! [A: a,A3: set_a] :
( ( member_a @ A @ A3 )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ A @ A ) @ ( id_on_a @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(388,plain,
( ( bot_bot_a_o
= ( ^ [X3: a] : ( member_a @ X3 @ bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(389,plain,
( ( ! [A3: set_a] :
( ! [X4: a] :
~ ( member_a @ X4 @ A3 )
=> ( ord_less_eq_set_a @ A3 @ bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(390,plain,
( ( ! [A3: set_a,B3: set_a,X2: a] :
( ( ord_less_eq_set_a @ A3 @ B3 )
=> ( ( member_a @ X2 @ A3 )
=> ( member_a @ X2 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(391,plain,
( ( ! [A3: set_a,B3: set_a,C2: a] :
( ( ord_less_eq_set_a @ A3 @ B3 )
=> ( ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(392,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B5: set_a] :
! [X3: a] :
( ( member_a @ X3 @ A4 )
=> ( member_a @ X3 @ B5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(393,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B5: set_a] :
! [T: a] :
( ( member_a @ T @ A4 )
=> ( member_a @ T @ B5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(394,plain,
( ( ! [A: a] :
~ ( member_a @ A @ bot_bot_set_a ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(395,plain,
( ( ! [A3: set_a,A: a] :
( ( A3 = bot_bot_set_a )
=> ~ ( member_a @ A @ A3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(396,plain,
( ( ! [A3: set_a] :
( ! [Y3: a] :
~ ( member_a @ Y3 @ A3 )
=> ( A3 = bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(397,plain,
( ( ! [A3: set_a] :
( ( ? [X3: a] : ( member_a @ X3 @ A3 ) )
= ( A3 != bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(398,plain,
( ( ! [A3: set_a] :
( ( ! [X3: a] :
~ ( member_a @ X3 @ A3 ) )
= ( A3 = bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(399,plain,
( ( ! [C2: a] :
~ ( member_a @ C2 @ bot_bot_set_a ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(400,plain,
( ( ! [A3: set_a,B3: set_a] :
( ! [X4: a] :
( ( member_a @ X4 @ A3 )
=> ( member_a @ X4 @ B3 ) )
=> ( ord_less_eq_set_a @ A3 @ B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(401,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( Carrier != bot_bot_set_a )
=> ( ( member_a @ X2 @ Carrier )
=> ( ( prefer1676310729than_a @ X2 @ Carrier @ Relation )
!= bot_bot_set_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(402,plain,
( ( ! [Y: a,X2: a] :
( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ Y @ carrier @ relation ) @ ( prefer1676310729than_a @ X2 @ carrier @ relation ) )
| ( ord_less_eq_set_a @ ( prefer1676310729than_a @ X2 @ carrier @ relation ) @ ( prefer1676310729than_a @ Y @ carrier @ relation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(403,plain,
( ( ! [X2: a] :
( ( carrier != bot_bot_set_a )
=> ( ( member_a @ X2 @ carrier )
=> ( ( prefer1676310729than_a @ X2 @ carrier @ relation )
!= bot_bot_set_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[216]) ).
thf(404,plain,
( ( ! [A3: set_a] :
( ( collect_a
@ ^ [X3: a] : ( member_a @ X3 @ A3 ) )
= A3 ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(405,plain,
( ( ! [A: a,P: a > $o] :
( ( member_a @ A @ ( collect_a @ P ) )
= ( P @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(406,plain,
( ( ! [X2: a,Y: a,B3: set_a,Pr: set_Product_prod_a_a] :
( ( member_a @ X2 @ ( prefer161218362good_a @ Y @ B3 @ Pr ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Pr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(407,plain,
( ( ! [Z: a,Y: a,B3: set_a,Pr: set_Product_prod_a_a] :
( ( member_a @ Z @ ( prefer161218362good_a @ Y @ B3 @ Pr ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ Y ) @ Pr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(408,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a,A: a,B: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ A @ B ) @ R )
=> ( ( member_a @ A @ A3 )
& ( member_a @ B @ A3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(409,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a,X2: a,Y: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ R )
=> ( member_a @ Y @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(410,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a,X2: a,Y: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ R )
=> ( member_a @ X2 @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(411,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a,A: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member_a @ A @ A3 )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ A @ A ) @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(412,plain,
( ( total_on_a
= ( ^ [A4: set_a,R2: set_Product_prod_a_a] :
! [X3: a] :
( ( member_a @ X3 @ A4 )
=> ! [Y2: a] :
( ( member_a @ Y2 @ A4 )
=> ( ( X3 != Y2 )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X3 @ Y2 ) @ R2 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y2 @ X3 ) @ R2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(413,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a] :
( ! [X4: a,Y3: a] :
( ( member_a @ X4 @ A3 )
=> ( ( member_a @ Y3 @ A3 )
=> ( ( X4 != Y3 )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X4 @ Y3 ) @ R )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y3 @ X4 ) @ R ) ) ) ) )
=> ( total_on_a @ A3 @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(414,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a,Z: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( ( member_a @ X2 @ Carrier )
& ( member_a @ Y @ Carrier )
& ( member_a @ Z @ Carrier ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ X2 ) @ Relation ) )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ Y ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ Relation ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(415,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( ( member_a @ X2 @ Carrier )
& ( member_a @ Y @ Carrier ) )
=> ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) )
= ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(416,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a,Z: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( ( member_a @ X2 @ Carrier )
& ( member_a @ Y @ Carrier )
& ( member_a @ Z @ Carrier ) )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ Relation )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ Relation ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(417,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( member_a @ X2 @ Carrier )
=> ( ( member_a @ Y @ Carrier )
=> ( ( X2 != Y )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(418,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ! [X: a] :
( ( member_a @ X @ Carrier )
=> ! [Xa: a] :
( ( member_a @ Xa @ Carrier )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X @ Xa ) @ Relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Xa @ X ) @ Relation ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(419,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a] :
( ( prefer1292084992ence_a @ Carrier @ Relation )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
=> ( member_a @ X2 @ Carrier ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(420,plain,
( ( ! [X2: a,Y: a] :
( ( ( member_a @ X2 @ carrier )
& ( member_a @ Y @ carrier ) )
=> ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) )
= ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(421,plain,
( ( ! [X2: a,Y: a,Z: a] :
( ( ( member_a @ X2 @ carrier )
& ( member_a @ Y @ carrier )
& ( member_a @ Z @ carrier ) )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ relation )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ relation ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(422,plain,
( ( ! [X2: a,Y: a,Z: a] :
( ( ( member_a @ X2 @ carrier )
& ( member_a @ Y @ carrier )
& ( member_a @ Z @ carrier ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ X2 ) @ relation ) )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ Y ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ relation ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(423,plain,
( ( ! [X2: a,Y: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
=> ( member_a @ X2 @ carrier ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(424,plain,
( ( ! [X2: a,Y: a] :
( ( member_a @ X2 @ carrier )
=> ( ( member_a @ Y @ carrier )
=> ( ( X2 != Y )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(425,plain,
( ( ! [X: a] :
( ( member_a @ X @ carrier )
=> ! [Xa: a] :
( ( member_a @ Xa @ carrier )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X @ Xa ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Xa @ X ) @ relation ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(426,plain,
( ( refl_on_a @ carrier @ relation )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(427,plain,
( ( total_on_a @ carrier @ relation )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(428,plain,
( ( order_preorder_on_a @ carrier @ relation )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(429,plain,
( ( prefer1292084992ence_a @ carrier @ relation )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(430,plain,
( ( prefer719835986ence_a @ carrier @ relation )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(431,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
& ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(432,plain,
( ( member_a @ z @ carrier )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[358]) ).
thf(433,plain,
( ( member_a @ y @ carrier )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[358]) ).
thf(434,plain,
( ( ~ ( member_a @ z @ carrier ) )
= $true ),
inference(polarity_switch,[status(thm)],[432]) ).
thf(435,plain,
( ( ~ ( member_a @ y @ carrier ) )
= $true ),
inference(polarity_switch,[status(thm)],[433]) ).
thf(436,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
& ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(437,plain,
( ( prefer719835986ence_a @ carrier @ relation )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(438,plain,
( ( prefer1292084992ence_a @ carrier @ relation )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(439,plain,
( ( order_preorder_on_a @ carrier @ relation )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(440,plain,
( ( total_on_a @ carrier @ relation )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(441,plain,
( ( refl_on_a @ carrier @ relation )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(442,plain,
( ( ! [X: a] :
( ( member_a @ X @ carrier )
=> ! [Xa: a] :
( ( member_a @ Xa @ carrier )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X @ Xa ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Xa @ X ) @ relation ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(443,plain,
( ( ! [X2: a,Y: a] :
( ( member_a @ X2 @ carrier )
=> ( ( member_a @ Y @ carrier )
=> ( ( X2 != Y )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(444,plain,
( ( ! [X2: a,Y: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
=> ( member_a @ X2 @ carrier ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(445,plain,
( ( ! [X2: a,Y: a,Z: a] :
( ( ( member_a @ X2 @ carrier )
& ( member_a @ Y @ carrier )
& ( member_a @ Z @ carrier ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ X2 ) @ relation ) )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ Y ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ relation ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(446,plain,
( ( ! [X2: a,Y: a,Z: a] :
( ( ( member_a @ X2 @ carrier )
& ( member_a @ Y @ carrier )
& ( member_a @ Z @ carrier ) )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ relation )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ relation ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(447,plain,
( ( ! [X2: a,Y: a] :
( ( ( member_a @ X2 @ carrier )
& ( member_a @ Y @ carrier ) )
=> ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) )
= ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(448,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a] :
( ( prefer1292084992ence_a @ Carrier @ Relation )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
=> ( member_a @ X2 @ Carrier ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(449,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ! [X: a] :
( ( member_a @ X @ Carrier )
=> ! [Xa: a] :
( ( member_a @ Xa @ Carrier )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X @ Xa ) @ Relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Xa @ X ) @ Relation ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(450,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( member_a @ X2 @ Carrier )
=> ( ( member_a @ Y @ Carrier )
=> ( ( X2 != Y )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(451,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a,Z: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( ( member_a @ X2 @ Carrier )
& ( member_a @ Y @ Carrier )
& ( member_a @ Z @ Carrier ) )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ Relation )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ Relation ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(452,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( ( member_a @ X2 @ Carrier )
& ( member_a @ Y @ Carrier ) )
=> ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) )
= ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(453,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a,Z: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( ( member_a @ X2 @ Carrier )
& ( member_a @ Y @ Carrier )
& ( member_a @ Z @ Carrier ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ X2 ) @ Relation ) )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ Y ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ Relation ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(454,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a] :
( ! [X4: a,Y3: a] :
( ( member_a @ X4 @ A3 )
=> ( ( member_a @ Y3 @ A3 )
=> ( ( X4 != Y3 )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X4 @ Y3 ) @ R )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y3 @ X4 ) @ R ) ) ) ) )
=> ( total_on_a @ A3 @ R ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(455,plain,
( ( total_on_a
= ( ^ [A4: set_a,R2: set_Product_prod_a_a] :
! [X3: a] :
( ( member_a @ X3 @ A4 )
=> ! [Y2: a] :
( ( member_a @ Y2 @ A4 )
=> ( ( X3 != Y2 )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X3 @ Y2 ) @ R2 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y2 @ X3 ) @ R2 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(456,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a,A: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member_a @ A @ A3 )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ A @ A ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(457,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a,X2: a,Y: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ R )
=> ( member_a @ X2 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(458,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a,X2: a,Y: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ R )
=> ( member_a @ Y @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(459,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a,A: a,B: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ A @ B ) @ R )
=> ( ( member_a @ A @ A3 )
& ( member_a @ B @ A3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(460,plain,
( ( ! [Z: a,Y: a,B3: set_a,Pr: set_Product_prod_a_a] :
( ( member_a @ Z @ ( prefer161218362good_a @ Y @ B3 @ Pr ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ Y ) @ Pr ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(461,plain,
( ( ! [X2: a,Y: a,B3: set_a,Pr: set_Product_prod_a_a] :
( ( member_a @ X2 @ ( prefer161218362good_a @ Y @ B3 @ Pr ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Pr ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(462,plain,
( ( ! [A: a,P: a > $o] :
( ( member_a @ A @ ( collect_a @ P ) )
= ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(463,plain,
( ( ! [A3: set_a] :
( ( collect_a
@ ^ [X3: a] : ( member_a @ X3 @ A3 ) )
= A3 ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(464,plain,
( ( ! [X2: a] :
( ( carrier != bot_bot_set_a )
=> ( ( member_a @ X2 @ carrier )
=> ( ( prefer1676310729than_a @ X2 @ carrier @ relation )
!= bot_bot_set_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(465,plain,
( ( ! [Y: a,X2: a] :
( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ Y @ carrier @ relation ) @ ( prefer1676310729than_a @ X2 @ carrier @ relation ) )
| ( ord_less_eq_set_a @ ( prefer1676310729than_a @ X2 @ carrier @ relation ) @ ( prefer1676310729than_a @ Y @ carrier @ relation ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(466,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( Carrier != bot_bot_set_a )
=> ( ( member_a @ X2 @ Carrier )
=> ( ( prefer1676310729than_a @ X2 @ Carrier @ Relation )
!= bot_bot_set_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(467,plain,
( ( ! [A3: set_a,B3: set_a] :
( ! [X4: a] :
( ( member_a @ X4 @ A3 )
=> ( member_a @ X4 @ B3 ) )
=> ( ord_less_eq_set_a @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(468,plain,
( ( ! [C2: a] :
~ ( member_a @ C2 @ bot_bot_set_a ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(469,plain,
( ( ! [A3: set_a] :
( ( ! [X3: a] :
~ ( member_a @ X3 @ A3 ) )
= ( A3 = bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(470,plain,
( ( ! [A3: set_a] :
( ( ? [X3: a] : ( member_a @ X3 @ A3 ) )
= ( A3 != bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(471,plain,
( ( ! [A3: set_a] :
( ! [Y3: a] :
~ ( member_a @ Y3 @ A3 )
=> ( A3 = bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(472,plain,
( ( ! [A3: set_a,A: a] :
( ( A3 = bot_bot_set_a )
=> ~ ( member_a @ A @ A3 ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(473,plain,
( ( ! [A: a] :
~ ( member_a @ A @ bot_bot_set_a ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(474,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B5: set_a] :
! [T: a] :
( ( member_a @ T @ A4 )
=> ( member_a @ T @ B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(475,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B5: set_a] :
! [X3: a] :
( ( member_a @ X3 @ A4 )
=> ( member_a @ X3 @ B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(476,plain,
( ( ! [A3: set_a,B3: set_a,C2: a] :
( ( ord_less_eq_set_a @ A3 @ B3 )
=> ( ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(477,plain,
( ( ! [A3: set_a,B3: set_a,X2: a] :
( ( ord_less_eq_set_a @ A3 @ B3 )
=> ( ( member_a @ X2 @ A3 )
=> ( member_a @ X2 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(478,plain,
( ( ! [A3: set_a] :
( ! [X4: a] :
~ ( member_a @ X4 @ A3 )
=> ( ord_less_eq_set_a @ A3 @ bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(479,plain,
( ( bot_bot_a_o
= ( ^ [X3: a] : ( member_a @ X3 @ bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(480,plain,
( ( ! [A: a,A3: set_a] :
( ( member_a @ A @ A3 )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ A @ A ) @ ( id_on_a @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(481,plain,
( ( ! [X2: a,Y: a,A3: set_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ ( id_on_a @ A3 ) )
= ( ( X2 = Y )
& ( member_a @ X2 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(482,plain,
( ( ! [A: a,B: a,A3: set_a] :
( ( A = B )
=> ( ( member_a @ A @ A3 )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ A @ B ) @ ( id_on_a @ A3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(483,plain,
( ( ! [C2: product_prod_a_a,A3: set_a] :
( ( member449909584od_a_a @ C2 @ ( id_on_a @ A3 ) )
=> ~ ! [X4: a] :
( ( member_a @ X4 @ A3 )
=> ( C2
!= ( product_Pair_a_a @ X4 @ X4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(484,plain,
( ( ! [A: a,B: a,A3: set_a] :
( ( member_a @ A @ ( insert_a @ B @ A3 ) )
= ( ( A = B )
| ( member_a @ A @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(485,plain,
( ( ! [A: a,B3: set_a,B: a] :
( ( ~ ( member_a @ A @ B3 )
=> ( A = B ) )
=> ( member_a @ A @ ( insert_a @ B @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(486,plain,
( ( ! [A: a] : ( member_a @ A @ ( insert_a @ A @ bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(487,plain,
( ( ! [X2: a,A3: set_a,B3: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ X2 @ A3 ) @ B3 )
= ( ( member_a @ X2 @ B3 )
& ( ord_less_eq_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(488,plain,
( ( ! [X2: a,A3: set_a,X6: set_a] :
( ( member_a @ X2 @ A3 )
=> ( ( ord_less_eq_set_a @ X6 @ A3 )
=> ( ord_less_eq_set_a @ ( insert_a @ X2 @ X6 ) @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(489,plain,
( ( ! [B: a,A: a] :
( ( member_a @ B @ ( insert_a @ A @ bot_bot_set_a ) )
= ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(490,plain,
( ( ! [B: a,A: a] :
( ( member_a @ B @ ( insert_a @ A @ bot_bot_set_a ) )
=> ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(491,plain,
( ( ! [X2: a,A3: set_a,B3: set_a] :
( ~ ( member_a @ X2 @ A3 )
=> ( ( ord_less_eq_set_a @ A3 @ ( insert_a @ X2 @ B3 ) )
= ( ord_less_eq_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(492,plain,
( ( ! [A: a,A3: set_a] :
( ( member_a @ A @ A3 )
=> ? [B7: set_a] :
( ( A3
= ( insert_a @ A @ B7 ) )
& ~ ( member_a @ A @ B7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(493,plain,
( ( ! [A: a,A3: set_a,B: a,B3: set_a] :
( ~ ( member_a @ A @ A3 )
=> ( ~ ( member_a @ B @ B3 )
=> ( ( ( insert_a @ A @ A3 )
= ( insert_a @ B @ B3 ) )
= ( ( ( A = B )
=> ( A3 = B3 ) )
& ( ( A != B )
=> ? [C4: set_a] :
( ( A3
= ( insert_a @ B @ C4 ) )
& ~ ( member_a @ B @ C4 )
& ( B3
= ( insert_a @ A @ C4 ) )
& ~ ( member_a @ A @ C4 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(494,plain,
( ( ! [A: a,A3: set_a] :
( ( member_a @ A @ A3 )
=> ( ( insert_a @ A @ A3 )
= A3 ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(495,plain,
( ( ! [X2: a,A3: set_a,B3: set_a] :
( ~ ( member_a @ X2 @ A3 )
=> ( ~ ( member_a @ X2 @ B3 )
=> ( ( ( insert_a @ X2 @ A3 )
= ( insert_a @ X2 @ B3 ) )
= ( A3 = B3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(496,plain,
( ( ! [X2: a,A3: set_a] :
( ( member_a @ X2 @ A3 )
=> ~ ! [B7: set_a] :
( ( A3
= ( insert_a @ X2 @ B7 ) )
=> ( member_a @ X2 @ B7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(497,plain,
( ( ! [A: a,B3: set_a,B: a] :
( ( member_a @ A @ B3 )
=> ( member_a @ A @ ( insert_a @ B @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(498,plain,
( ( ! [A: a,B3: set_a] : ( member_a @ A @ ( insert_a @ A @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(499,plain,
( ( ! [A: a,B: a,A3: set_a] :
( ( member_a @ A @ ( insert_a @ B @ A3 ) )
=> ( ( A != B )
=> ( member_a @ A @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(500,plain,
( ( ! [A3: set_a] :
( ( A3 != bot_bot_set_a )
=> ( ! [X4: a,Y3: a] :
( ( member_a @ X4 @ A3 )
=> ( ( member_a @ Y3 @ A3 )
=> ( X4 = Y3 ) ) )
=> ( is_singleton_a @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(501,plain,
( ( ! [B: a,R: set_Product_prod_a_a] :
( ( member_a @ B @ ( range_a_a @ R ) )
=> ~ ! [A5: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ A5 @ B ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(502,plain,
( ( ! [A: a,R: set_Product_prod_a_a] :
( ( member_a @ A @ ( range_a_a @ R ) )
= ( ? [Y2: a] : ( member449909584od_a_a @ ( product_Pair_a_a @ Y2 @ A ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(503,plain,
( ( ! [A: a,R: set_Product_prod_a_a] :
( ( member_a @ A @ ( range_a_a @ R ) )
=> ~ ! [A5: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ A5 @ A ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(504,plain,
( ( ! [A: a,R: set_Product_prod_a_a] :
( ( member_a @ A @ ( range_a_a @ R ) )
= ( ? [A6: a,B6: a] :
( ( A = B6 )
& ( member449909584od_a_a @ ( product_Pair_a_a @ A6 @ B6 ) @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(505,plain,
( ( ! [A: a,B: a,R: set_Product_prod_a_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ A @ B ) @ R )
=> ( member_a @ B @ ( range_a_a @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(506,plain,
( ( ! [X2: a,R: set_Product_prod_a_a,P: a > $o] :
( ( member_a @ X2 @ ( range_a_a @ R ) )
=> ( ! [A5: a,B4: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ A5 @ B4 ) @ R )
=> ( P @ B4 ) )
=> ( P @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(507,plain,
( ( ! [C2: a,A3: set_a] :
( ( member_a @ C2 @ ( uminus_uminus_set_a @ A3 ) )
= ( ~ ( member_a @ C2 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(508,plain,
( ( ! [C2: a,A3: set_a] :
( ~ ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ ( uminus_uminus_set_a @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(509,plain,
( ( ~ ( member_a @ z @ carrier ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(510,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a,SX4: a] :
( ~ ( prefer719835986ence_a @ SX0 @ SX1 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX3 @ SX0 ) )
| ~ ( member_a @ SX4 @ SX0 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX4 ) @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX4 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(511,plain,
( ( total_on_a
= ( ^ [SX0: set_a,SX1: set_Product_prod_a_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ! [SX3: a] :
( ~ ( member_a @ SX3 @ SX0 )
| ~ ( ( SX2 != SX3 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[455]) ).
thf(512,plain,
( ( ! [SX0: a] :
( ~ ( member_a @ SX0 @ carrier )
| ! [SX1: a] :
( ~ ( member_a @ SX1 @ carrier )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX0 ) @ relation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(513,plain,
( ( ! [SX0: a,SX1: set_a] :
( ~ ( member_a @ SX0 @ SX1 )
| ( ( insert_a @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[494]) ).
thf(514,plain,
( ( ! [SX0: set_a] :
( ~ ! [SX1: a] :
~ ( member_a @ SX1 @ SX0 )
| ( SX0 = bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[471]) ).
thf(515,plain,
( ( ! [SX0: set_a,SX1: a] :
( ( SX0 != bot_bot_set_a )
| ~ ( member_a @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[472]) ).
thf(516,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) )
| ( ord_less_eq_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(517,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a] :
( ~ ( prefer719835986ence_a @ SX0 @ SX1 )
| ~ ( ( SX0 != bot_bot_set_a ) )
| ~ ( member_a @ SX2 @ SX0 )
| ( ( prefer1676310729than_a @ SX2 @ SX0 @ SX1 )
!= bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(518,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ~ ( ~ ~ ( ~ ( member_a @ SX0 @ carrier )
| ~ ( member_a @ SX1 @ carrier ) )
| ~ ( member_a @ SX2 @ carrier ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX0 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX2 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX0 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX1 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX2 ) @ relation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(519,plain,
( ( ! [SX0: set_a] :
( ~ ( ( SX0 != bot_bot_set_a ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( member_a @ SX1 @ SX0 )
| ~ ( member_a @ SX2 @ SX0 )
| ( SX1 = SX2 ) )
| ( is_singleton_a @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[500]) ).
thf(520,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a] :
( ~ ( prefer719835986ence_a @ SX0 @ SX1 )
| ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX3 @ SX0 )
| ~ ( ( SX2 != SX3 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(521,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( member_a @ SX0 @ carrier )
| ~ ( member_a @ SX1 @ carrier )
| ~ ( ( SX0 != SX1 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX0 ) @ relation ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(522,plain,
( ( ! [SX0: a,SX1: set_a,SX2: a,SX3: set_a] :
( ~ ~ ( member_a @ SX0 @ SX1 )
| ~ ~ ( member_a @ SX2 @ SX3 )
| ( ( ( insert_a @ SX0 @ SX1 )
= ( insert_a @ SX2 @ SX3 ) )
= ( ~ ( ~ ( ( SX0 != SX2 )
| ( SX1 = SX3 ) )
| ~ ( ~ ( ( SX0 != SX2 ) )
| ~ ! [SX4: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SX1
!= ( insert_a @ SX2 @ SX4 ) )
| ~ ~ ( member_a @ SX2 @ SX4 ) )
| ( SX3
!= ( insert_a @ SX0 @ SX4 ) ) )
| ~ ~ ( member_a @ SX0 @ SX4 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[493]) ).
thf(523,plain,
( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436]) ).
thf(524,plain,
( ( ! [SX0: a,SX1: set_Product_prod_a_a] :
( ~ ( member_a @ SX0 @ ( range_a_a @ SX1 ) )
| ~ ! [SX2: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[501]) ).
thf(525,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a] :
( ~ ( refl_on_a @ SX0 @ SX1 )
| ~ ( member_a @ SX2 @ SX0 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(526,plain,
( ( ! [SX0: a,SX1: set_Product_prod_a_a] :
( ~ ( member_a @ SX0 @ ( range_a_a @ SX1 ) )
| ~ ! [SX2: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[503]) ).
thf(527,plain,
( ( ! [SX0: a,SX1: set_a,SX2: a] :
( ~ ( member_a @ SX0 @ SX1 )
| ( member_a @ SX0 @ ( insert_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[497]) ).
thf(528,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a] :
( ~ ! [SX2: a,SX3: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX3 @ SX0 )
| ~ ( ( SX2 != SX3 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) )
| ( total_on_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(529,plain,
( ( ! [SX0: a,SX1: set_Product_prod_a_a,SX2: a > $o] :
( ~ ( member_a @ SX0 @ ( range_a_a @ SX1 ) )
| ~ ! [SX3: a,SX4: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX4 ) @ SX1 )
| ( SX2 @ SX4 ) )
| ( SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[506]) ).
thf(530,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a] :
( ~ ( prefer1292084992ence_a @ SX0 @ SX1 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member_a @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(531,plain,
( ( ord_less_eq_set_a
= ( ^ [SX0: set_a,SX1: set_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[474]) ).
thf(532,plain,
( ( ! [SX0: a,SX1: set_Product_prod_a_a] :
( ( member_a @ SX0 @ ( range_a_a @ SX1 ) )
= ( ~ ! [SX2: a] :
~ ~ ! [SX3: a] :
~ ~ ( ( SX0 != SX3 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[504]) ).
thf(533,plain,
( ( ord_less_eq_set_a
= ( ^ [SX0: set_a,SX1: set_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(534,plain,
( ( ! [SX0: a,SX1: set_Product_prod_a_a] :
( ( member_a @ SX0 @ ( range_a_a @ SX1 ) )
= ( ~ ! [SX2: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[502]) ).
thf(535,plain,
( ( ! [SX0: a,SX1: a,SX2: set_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ ( id_on_a @ SX2 ) )
= ( ~ ( ( SX0 != SX1 )
| ~ ( member_a @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[481]) ).
thf(536,plain,
( ( ! [SX0: set_a] :
( ~ ! [SX1: a] :
~ ( member_a @ SX1 @ SX0 )
| ( ord_less_eq_set_a @ SX0 @ bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[478]) ).
thf(537,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[477]) ).
thf(538,plain,
( ( ! [SX0: a,SX1: set_a] :
( ~ ~ ( member_a @ SX0 @ SX1 )
| ( member_a @ SX0 @ ( uminus_uminus_set_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[508]) ).
thf(539,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ relation )
| ( member_a @ SX0 @ carrier ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(540,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a,SX4: a] :
( ~ ( prefer719835986ence_a @ SX0 @ SX1 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX3 @ SX0 ) )
| ~ ( member_a @ SX4 @ SX0 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX4 ) @ SX1 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX4 @ SX2 ) @ SX1 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX4 @ SX3 ) @ SX1 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX4 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(541,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a] :
( ~ ( prefer719835986ence_a @ SX0 @ SX1 )
| ~ ~ ( ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX3 @ SX0 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(542,plain,
( ( ! [SX0: a,SX1: set_a] :
( ~ ( member_a @ SX0 @ SX1 )
| ~ ! [SX2: set_a] :
( ( SX1
!= ( insert_a @ SX0 @ SX2 ) )
| ( member_a @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[496]) ).
thf(543,plain,
( ( ! [SX0: a] :
( ~ ( ( carrier != bot_bot_set_a ) )
| ~ ( member_a @ SX0 @ carrier )
| ( ( prefer1676310729than_a @ SX0 @ carrier @ relation )
!= bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(544,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( member_a @ SX0 @ carrier )
| ~ ( member_a @ SX1 @ carrier ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX0 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX0 ) @ relation ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(545,plain,
( ( ! [SX0: a,SX1: a,SX2: set_a,SX3: set_Product_prod_a_a] :
( ~ ( member_a @ SX0 @ ( prefer161218362good_a @ SX1 @ SX2 @ SX3 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(546,plain,
( ( ! [SX0: a,SX1: a,SX2: set_Product_prod_a_a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ SX2 )
| ( member_a @ SX1 @ ( range_a_a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[505]) ).
thf(547,plain,
( ( ! [SX0: a,SX1: set_a,SX2: set_a] :
( ~ ~ ( member_a @ SX0 @ SX1 )
| ~ ~ ( member_a @ SX0 @ SX2 )
| ( ( ( insert_a @ SX0 @ SX1 )
= ( insert_a @ SX0 @ SX2 ) )
= ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[495]) ).
thf(548,plain,
( ( ! [SX0: product_prod_a_a,SX1: set_a] :
( ~ ( member449909584od_a_a @ SX0 @ ( id_on_a @ SX1 ) )
| ~ ! [SX2: a] :
( ~ ( member_a @ SX2 @ SX1 )
| ( SX0
!= ( product_Pair_a_a @ SX2 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[483]) ).
thf(549,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a] :
( ~ ( refl_on_a @ SX0 @ SX1 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member_a @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(550,plain,
( ( ! [SX0: a,SX1: set_a,SX2: a] :
( ~ ( ~ ~ ( member_a @ SX0 @ SX1 )
| ( SX0 = SX2 ) )
| ( member_a @ SX0 @ ( insert_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[485]) ).
thf(551,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[476]) ).
thf(552,plain,
( ( ! [SX0: set_a] :
( ( ~ ! [SX1: a] :
~ ( member_a @ SX1 @ SX0 ) )
= ( SX0 != bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(553,plain,
( ( ! [SX0: a,SX1: set_a,SX2: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( member_a @ SX0 @ SX2 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[487]) ).
thf(554,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ~ ( ~ ~ ( ~ ( member_a @ SX0 @ carrier )
| ~ ( member_a @ SX1 @ carrier ) )
| ~ ( member_a @ SX2 @ carrier ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX2 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX2 ) @ relation ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(555,plain,
( ( ! [SX0: a,SX1: set_a,SX2: set_a] :
( ~ ~ ( member_a @ SX0 @ SX1 )
| ( ( ord_less_eq_set_a @ SX1 @ ( insert_a @ SX0 @ SX2 ) )
= ( ord_less_eq_set_a @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[491]) ).
thf(556,plain,
( ( ! [SX0: a,SX1: set_a] :
( ~ ( member_a @ SX0 @ SX1 )
| ~ ! [SX2: set_a] :
~ ~ ( ( SX1
!= ( insert_a @ SX0 @ SX2 ) )
| ~ ~ ( member_a @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[492]) ).
thf(557,plain,
( ( ! [SX0: a,SX1: a,SX2: set_a] :
( ( SX0 != SX1 )
| ~ ( member_a @ SX0 @ SX2 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ ( id_on_a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[482]) ).
thf(558,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a] :
( ~ ( refl_on_a @ SX0 @ SX1 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member_a @ SX3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(559,plain,
( ( ! [SX0: a,SX1: set_a] :
( ~ ( member_a @ SX0 @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX0 ) @ ( id_on_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(560,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( member_a @ SX0 @ ( insert_a @ SX1 @ bot_bot_set_a ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[490]) ).
thf(561,plain,
( ( ! [SX0: a,SX1: a,SX2: set_a,SX3: set_Product_prod_a_a] :
( ~ ( member_a @ SX0 @ ( prefer161218362good_a @ SX1 @ SX2 @ SX3 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(562,plain,
( ( ! [SX0: a,SX1: a,SX2: set_a] :
( ~ ( member_a @ SX0 @ ( insert_a @ SX1 @ SX2 ) )
| ~ ( ( SX0 != SX1 ) )
| ( member_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[499]) ).
thf(563,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a] :
( ~ ( prefer719835986ence_a @ SX0 @ SX1 )
| ! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ! [SX3: a] :
( ~ ( member_a @ SX3 @ SX0 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(564,plain,
( ( ! [SX0: a,SX1: set_a,SX2: set_a] :
( ~ ( member_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX2 @ SX1 )
| ( ord_less_eq_set_a @ ( insert_a @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[488]) ).
thf(565,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a] :
( ~ ( refl_on_a @ SX0 @ SX1 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ~ ( ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX3 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(566,plain,
! [SV1: a] :
( ( ! [SY192: a > $o] :
( ( member_a @ SV1 @ ( collect_a @ SY192 ) )
= ( SY192 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(567,plain,
! [SV2: set_a] :
( ( ( collect_a
@ ^ [SY193: a] : ( member_a @ SY193 @ SV2 ) )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(568,plain,
! [SV3: a] :
( ( ! [SY194: a] :
( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ SV3 @ carrier @ relation ) @ ( prefer1676310729than_a @ SY194 @ carrier @ relation ) )
| ( ord_less_eq_set_a @ ( prefer1676310729than_a @ SY194 @ carrier @ relation ) @ ( prefer1676310729than_a @ SV3 @ carrier @ relation ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(569,plain,
! [SV4: a] :
( ( ~ ( member_a @ SV4 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(570,plain,
! [SV5: set_a] :
( ( ( ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 ) )
= ( SV5 = bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(571,plain,
! [SV6: a] :
( ( ~ ( member_a @ SV6 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(572,plain,
( ( ! [SV7: a] :
( ( bot_bot_a_o @ SV7 )
= ( member_a @ SV7 @ bot_bot_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[479]) ).
thf(573,plain,
( ( bot_bot_a_o
= ( ^ [X3: a] : ( member_a @ X3 @ bot_bot_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[479]) ).
thf(574,plain,
! [SV8: a] :
( ( ! [SY196: a,SY197: set_a] :
( ( member_a @ SV8 @ ( insert_a @ SY196 @ SY197 ) )
= ( ( SV8 = SY196 )
| ( member_a @ SV8 @ SY197 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(575,plain,
! [SV9: a] :
( ( member_a @ SV9 @ ( insert_a @ SV9 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(576,plain,
! [SV10: a] :
( ( ! [SY198: a] :
( ( member_a @ SV10 @ ( insert_a @ SY198 @ bot_bot_set_a ) )
= ( SV10 = SY198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(577,plain,
! [SV11: a] :
( ( ! [SY199: set_a] : ( member_a @ SV11 @ ( insert_a @ SV11 @ SY199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(578,plain,
! [SV12: a] :
( ( ! [SY200: set_a] :
( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SY200 ) )
= ( ~ ( member_a @ SV12 @ SY200 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(579,plain,
( ( member_a @ z @ carrier )
= $false ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(580,plain,
! [SV13: set_a] :
( ( ! [SY201: set_Product_prod_a_a,SY202: a,SY203: a,SY204: a] :
( ~ ( prefer719835986ence_a @ SV13 @ SY201 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SY202 @ SV13 )
| ~ ( member_a @ SY203 @ SV13 ) )
| ~ ( member_a @ SY204 @ SV13 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY202 @ SY203 ) @ SY201 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY203 @ SY204 ) @ SY201 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY202 @ SY204 ) @ SY201 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(581,plain,
( ( ! [SV14: set_a] :
( ( total_on_a @ SV14 )
= ( ^ [SY205: set_Product_prod_a_a] :
! [SY206: a] :
( ~ ( member_a @ SY206 @ SV14 )
| ! [SY207: a] :
( ~ ( member_a @ SY207 @ SV14 )
| ~ ( ( SY206 != SY207 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY206 @ SY207 ) @ SY205 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY207 @ SY206 ) @ SY205 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[511]) ).
thf(582,plain,
( ( total_on_a
= ( ^ [SX0: set_a,SX1: set_Product_prod_a_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ! [SX3: a] :
( ~ ( member_a @ SX3 @ SX0 )
| ~ ( ( SX2 != SX3 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[511]) ).
thf(583,plain,
! [SV15: a] :
( ( ~ ( member_a @ SV15 @ carrier )
| ! [SY208: a] :
( ~ ( member_a @ SY208 @ carrier )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV15 @ SY208 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY208 @ SV15 ) @ relation ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(584,plain,
! [SV16: a] :
( ( ! [SY209: set_a] :
( ~ ( member_a @ SV16 @ SY209 )
| ( ( insert_a @ SV16 @ SY209 )
= SY209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(585,plain,
! [SV17: set_a] :
( ( ~ ! [SY210: a] :
~ ( member_a @ SY210 @ SV17 )
| ( SV17 = bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(586,plain,
! [SV18: set_a] :
( ( ! [SY211: a] :
( ( SV18 != bot_bot_set_a )
| ~ ( member_a @ SY211 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(587,plain,
! [SV19: set_a] :
( ( ! [SY212: set_a] :
( ~ ! [SY213: a] :
( ~ ( member_a @ SY213 @ SV19 )
| ( member_a @ SY213 @ SY212 ) )
| ( ord_less_eq_set_a @ SV19 @ SY212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(588,plain,
! [SV20: set_a] :
( ( ! [SY214: set_Product_prod_a_a,SY215: a] :
( ~ ( prefer719835986ence_a @ SV20 @ SY214 )
| ~ ( ( SV20 != bot_bot_set_a ) )
| ~ ( member_a @ SY215 @ SV20 )
| ( ( prefer1676310729than_a @ SY215 @ SV20 @ SY214 )
!= bot_bot_set_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(589,plain,
! [SV21: a] :
( ( ! [SY216: a,SY217: a] :
( ~ ~ ( ~ ~ ( ~ ( member_a @ SV21 @ carrier )
| ~ ( member_a @ SY216 @ carrier ) )
| ~ ( member_a @ SY217 @ carrier ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SY216 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY216 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SY217 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY217 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY217 @ SY216 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY216 @ SY217 ) @ relation ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(590,plain,
! [SV22: set_a] :
( ( ~ ( ( SV22 != bot_bot_set_a ) )
| ~ ! [SY218: a,SY219: a] :
( ~ ( member_a @ SY218 @ SV22 )
| ~ ( member_a @ SY219 @ SV22 )
| ( SY218 = SY219 ) )
| ( is_singleton_a @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(591,plain,
! [SV23: set_a] :
( ( ! [SY220: set_Product_prod_a_a,SY221: a,SY222: a] :
( ~ ( prefer719835986ence_a @ SV23 @ SY220 )
| ~ ( member_a @ SY221 @ SV23 )
| ~ ( member_a @ SY222 @ SV23 )
| ~ ( ( SY221 != SY222 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY221 @ SY222 ) @ SY220 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY222 @ SY221 ) @ SY220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(592,plain,
! [SV24: a] :
( ( ! [SY223: a] :
( ~ ( member_a @ SV24 @ carrier )
| ~ ( member_a @ SY223 @ carrier )
| ~ ( ( SV24 != SY223 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV24 @ SY223 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY223 @ SV24 ) @ relation ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(593,plain,
! [SV25: a] :
( ( ! [SY224: set_a,SY225: a,SY226: set_a] :
( ~ ~ ( member_a @ SV25 @ SY224 )
| ~ ~ ( member_a @ SY225 @ SY226 )
| ( ( ( insert_a @ SV25 @ SY224 )
= ( insert_a @ SY225 @ SY226 ) )
= ( ~ ( ~ ( ( SV25 != SY225 )
| ( SY224 = SY226 ) )
| ~ ( ~ ( ( SV25 != SY225 ) )
| ~ ! [SY227: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SY224
!= ( insert_a @ SY225 @ SY227 ) )
| ~ ~ ( member_a @ SY225 @ SY227 ) )
| ( SY226
!= ( insert_a @ SV25 @ SY227 ) ) )
| ~ ~ ( member_a @ SV25 @ SY227 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(594,plain,
( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(595,plain,
! [SV26: a] :
( ( ! [SY228: set_Product_prod_a_a] :
( ~ ( member_a @ SV26 @ ( range_a_a @ SY228 ) )
| ~ ! [SY229: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY229 @ SV26 ) @ SY228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(596,plain,
! [SV27: set_a] :
( ( ! [SY230: set_Product_prod_a_a,SY231: a] :
( ~ ( refl_on_a @ SV27 @ SY230 )
| ~ ( member_a @ SY231 @ SV27 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY231 @ SY231 ) @ SY230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(597,plain,
! [SV28: a] :
( ( ! [SY232: set_Product_prod_a_a] :
( ~ ( member_a @ SV28 @ ( range_a_a @ SY232 ) )
| ~ ! [SY233: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY233 @ SV28 ) @ SY232 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(598,plain,
! [SV29: a] :
( ( ! [SY234: set_a,SY235: a] :
( ~ ( member_a @ SV29 @ SY234 )
| ( member_a @ SV29 @ ( insert_a @ SY235 @ SY234 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(599,plain,
! [SV30: set_a] :
( ( ! [SY236: set_Product_prod_a_a] :
( ~ ! [SY237: a,SY238: a] :
( ~ ( member_a @ SY237 @ SV30 )
| ~ ( member_a @ SY238 @ SV30 )
| ~ ( ( SY237 != SY238 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY237 @ SY238 ) @ SY236 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY238 @ SY237 ) @ SY236 ) )
| ( total_on_a @ SV30 @ SY236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(600,plain,
! [SV31: a] :
( ( ! [SY239: set_Product_prod_a_a,SY240: a > $o] :
( ~ ( member_a @ SV31 @ ( range_a_a @ SY239 ) )
| ~ ! [SX3: a,SX4: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX4 ) @ SY239 )
| ( SY240 @ SX4 ) )
| ( SY240 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(601,plain,
! [SV32: set_a] :
( ( ! [SY243: set_Product_prod_a_a,SY244: a,SY245: a] :
( ~ ( prefer1292084992ence_a @ SV32 @ SY243 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY244 @ SY245 ) @ SY243 )
| ( member_a @ SY244 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(602,plain,
( ( ! [SV33: set_a] :
( ( ord_less_eq_set_a @ SV33 )
= ( ^ [SY246: set_a] :
! [SY247: a] :
( ~ ( member_a @ SY247 @ SV33 )
| ( member_a @ SY247 @ SY246 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[531]) ).
thf(603,plain,
( ( ord_less_eq_set_a
= ( ^ [SX0: set_a,SX1: set_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[531]) ).
thf(604,plain,
! [SV34: a] :
( ( ! [SY248: set_Product_prod_a_a] :
( ( member_a @ SV34 @ ( range_a_a @ SY248 ) )
= ( ~ ! [SY249: a] :
~ ~ ! [SY250: a] :
~ ~ ( ( SV34 != SY250 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY249 @ SY250 ) @ SY248 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(605,plain,
( ( ! [SV35: set_a] :
( ( ord_less_eq_set_a @ SV35 )
= ( ^ [SY251: set_a] :
! [SY252: a] :
( ~ ( member_a @ SY252 @ SV35 )
| ( member_a @ SY252 @ SY251 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[533]) ).
thf(606,plain,
( ( ord_less_eq_set_a
= ( ^ [SX0: set_a,SX1: set_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[533]) ).
thf(607,plain,
! [SV36: a] :
( ( ! [SY253: set_Product_prod_a_a] :
( ( member_a @ SV36 @ ( range_a_a @ SY253 ) )
= ( ~ ! [SY254: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY254 @ SV36 ) @ SY253 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(608,plain,
! [SV37: a] :
( ( ! [SY255: a,SY256: set_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SY255 ) @ ( id_on_a @ SY256 ) )
= ( ~ ( ( SV37 != SY255 )
| ~ ( member_a @ SV37 @ SY256 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(609,plain,
! [SV38: set_a] :
( ( ~ ! [SY257: a] :
~ ( member_a @ SY257 @ SV38 )
| ( ord_less_eq_set_a @ SV38 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(610,plain,
! [SV39: set_a] :
( ( ! [SY258: set_a,SY259: a] :
( ~ ( ord_less_eq_set_a @ SV39 @ SY258 )
| ~ ( member_a @ SY259 @ SV39 )
| ( member_a @ SY259 @ SY258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(611,plain,
! [SV40: a] :
( ( ! [SY260: set_a] :
( ~ ~ ( member_a @ SV40 @ SY260 )
| ( member_a @ SV40 @ ( uminus_uminus_set_a @ SY260 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(612,plain,
! [SV41: a] :
( ( ! [SY261: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV41 @ SY261 ) @ relation )
| ( member_a @ SV41 @ carrier ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(613,plain,
! [SV42: set_a] :
( ( ! [SY262: set_Product_prod_a_a,SY263: a,SY264: a,SY265: a] :
( ~ ( prefer719835986ence_a @ SV42 @ SY262 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SY263 @ SV42 )
| ~ ( member_a @ SY264 @ SV42 ) )
| ~ ( member_a @ SY265 @ SV42 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY263 @ SY264 ) @ SY262 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY264 @ SY263 ) @ SY262 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY263 @ SY265 ) @ SY262 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY265 @ SY263 ) @ SY262 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY265 @ SY264 ) @ SY262 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY264 @ SY265 ) @ SY262 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(614,plain,
! [SV43: set_a] :
( ( ! [SY266: set_Product_prod_a_a,SY267: a,SY268: a] :
( ~ ( prefer719835986ence_a @ SV43 @ SY266 )
| ~ ~ ( ~ ( member_a @ SY267 @ SV43 )
| ~ ( member_a @ SY268 @ SV43 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY268 @ SY267 ) @ SY266 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY267 @ SY268 ) @ SY266 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY268 @ SY267 ) @ SY266 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(615,plain,
! [SV44: a] :
( ( ! [SY269: set_a] :
( ~ ( member_a @ SV44 @ SY269 )
| ~ ! [SY270: set_a] :
( ( SY269
!= ( insert_a @ SV44 @ SY270 ) )
| ( member_a @ SV44 @ SY270 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(616,plain,
! [SV45: a] :
( ( ~ ( ( carrier != bot_bot_set_a ) )
| ~ ( member_a @ SV45 @ carrier )
| ( ( prefer1676310729than_a @ SV45 @ carrier @ relation )
!= bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(617,plain,
! [SV46: a] :
( ( ! [SY271: a] :
( ~ ~ ( ~ ( member_a @ SV46 @ carrier )
| ~ ( member_a @ SY271 @ carrier ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY271 @ SV46 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SY271 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY271 @ SV46 ) @ relation ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(618,plain,
! [SV47: a] :
( ( ! [SY272: a,SY273: set_a,SY274: set_Product_prod_a_a] :
( ~ ( member_a @ SV47 @ ( prefer161218362good_a @ SY272 @ SY273 @ SY274 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV47 @ SY272 ) @ SY274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(619,plain,
! [SV48: a] :
( ( ! [SY275: a,SY276: set_Product_prod_a_a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV48 @ SY275 ) @ SY276 )
| ( member_a @ SY275 @ ( range_a_a @ SY276 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(620,plain,
! [SV49: a] :
( ( ! [SY277: set_a,SY278: set_a] :
( ~ ~ ( member_a @ SV49 @ SY277 )
| ~ ~ ( member_a @ SV49 @ SY278 )
| ( ( ( insert_a @ SV49 @ SY277 )
= ( insert_a @ SV49 @ SY278 ) )
= ( SY277 = SY278 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(621,plain,
! [SV50: product_prod_a_a] :
( ( ! [SY279: set_a] :
( ~ ( member449909584od_a_a @ SV50 @ ( id_on_a @ SY279 ) )
| ~ ! [SY280: a] :
( ~ ( member_a @ SY280 @ SY279 )
| ( SV50
!= ( product_Pair_a_a @ SY280 @ SY280 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(622,plain,
! [SV51: set_a] :
( ( ! [SY281: set_Product_prod_a_a,SY282: a,SY283: a] :
( ~ ( refl_on_a @ SV51 @ SY281 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY282 @ SY283 ) @ SY281 )
| ( member_a @ SY282 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(623,plain,
! [SV52: a] :
( ( ! [SY284: set_a,SY285: a] :
( ~ ( ~ ~ ( member_a @ SV52 @ SY284 )
| ( SV52 = SY285 ) )
| ( member_a @ SV52 @ ( insert_a @ SY285 @ SY284 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(624,plain,
! [SV53: set_a] :
( ( ! [SY286: set_a,SY287: a] :
( ~ ( ord_less_eq_set_a @ SV53 @ SY286 )
| ~ ( member_a @ SY287 @ SV53 )
| ( member_a @ SY287 @ SY286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(625,plain,
! [SV54: set_a] :
( ( ( ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 ) )
= ( SV54 != bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(626,plain,
! [SV55: a] :
( ( ! [SY289: set_a,SY290: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SY289 ) @ SY290 )
= ( ~ ( ~ ( member_a @ SV55 @ SY290 )
| ~ ( ord_less_eq_set_a @ SY289 @ SY290 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(627,plain,
! [SV56: a] :
( ( ! [SY291: a,SY292: a] :
( ~ ~ ( ~ ~ ( ~ ( member_a @ SV56 @ carrier )
| ~ ( member_a @ SY291 @ carrier ) )
| ~ ( member_a @ SY292 @ carrier ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SY291 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY291 @ SY292 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SY292 ) @ relation ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(628,plain,
! [SV57: a] :
( ( ! [SY293: set_a,SY294: set_a] :
( ~ ~ ( member_a @ SV57 @ SY293 )
| ( ( ord_less_eq_set_a @ SY293 @ ( insert_a @ SV57 @ SY294 ) )
= ( ord_less_eq_set_a @ SY293 @ SY294 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(629,plain,
! [SV58: a] :
( ( ! [SY295: set_a] :
( ~ ( member_a @ SV58 @ SY295 )
| ~ ! [SY296: set_a] :
~ ~ ( ( SY295
!= ( insert_a @ SV58 @ SY296 ) )
| ~ ~ ( member_a @ SV58 @ SY296 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(630,plain,
! [SV59: a] :
( ( ! [SY297: a,SY298: set_a] :
( ( SV59 != SY297 )
| ~ ( member_a @ SV59 @ SY298 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV59 @ SY297 ) @ ( id_on_a @ SY298 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(631,plain,
! [SV60: set_a] :
( ( ! [SY299: set_Product_prod_a_a,SY300: a,SY301: a] :
( ~ ( refl_on_a @ SV60 @ SY299 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY300 @ SY301 ) @ SY299 )
| ( member_a @ SY301 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(632,plain,
! [SV61: a] :
( ( ! [SY302: set_a] :
( ~ ( member_a @ SV61 @ SY302 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV61 @ SV61 ) @ ( id_on_a @ SY302 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(633,plain,
! [SV62: a] :
( ( ! [SY303: a] :
( ~ ( member_a @ SV62 @ ( insert_a @ SY303 @ bot_bot_set_a ) )
| ( SV62 = SY303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(634,plain,
! [SV63: a] :
( ( ! [SY304: a,SY305: set_a,SY306: set_Product_prod_a_a] :
( ~ ( member_a @ SV63 @ ( prefer161218362good_a @ SY304 @ SY305 @ SY306 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV63 @ SY304 ) @ SY306 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(635,plain,
! [SV64: a] :
( ( ! [SY307: a,SY308: set_a] :
( ~ ( member_a @ SV64 @ ( insert_a @ SY307 @ SY308 ) )
| ~ ( ( SV64 != SY307 ) )
| ( member_a @ SV64 @ SY308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(636,plain,
! [SV65: set_a] :
( ( ! [SY309: set_Product_prod_a_a] :
( ~ ( prefer719835986ence_a @ SV65 @ SY309 )
| ! [SY310: a] :
( ~ ( member_a @ SY310 @ SV65 )
| ! [SY311: a] :
( ~ ( member_a @ SY311 @ SV65 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY310 @ SY311 ) @ SY309 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY311 @ SY310 ) @ SY309 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(637,plain,
! [SV66: a] :
( ( ! [SY312: set_a,SY313: set_a] :
( ~ ( member_a @ SV66 @ SY312 )
| ~ ( ord_less_eq_set_a @ SY313 @ SY312 )
| ( ord_less_eq_set_a @ ( insert_a @ SV66 @ SY313 ) @ SY312 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(638,plain,
! [SV67: set_a] :
( ( ! [SY314: set_Product_prod_a_a,SY315: a,SY316: a] :
( ~ ( refl_on_a @ SV67 @ SY314 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY315 @ SY316 ) @ SY314 )
| ~ ( ~ ( member_a @ SY315 @ SV67 )
| ~ ( member_a @ SY316 @ SV67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(639,plain,
! [SV68: a > $o,SV1: a] :
( ( ( member_a @ SV1 @ ( collect_a @ SV68 ) )
= ( SV68 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(640,plain,
! [SV69: a,SV3: a] :
( ( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ SV3 @ carrier @ relation ) @ ( prefer1676310729than_a @ SV69 @ carrier @ relation ) )
| ( ord_less_eq_set_a @ ( prefer1676310729than_a @ SV69 @ carrier @ relation ) @ ( prefer1676310729than_a @ SV3 @ carrier @ relation ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(641,plain,
! [SV4: a] :
( ( member_a @ SV4 @ bot_bot_set_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(642,plain,
! [SV5: set_a] :
( ( ~ ( ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 )
| ( SV5 = bot_bot_set_a ) )
| ~ ( ~ ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 )
| ( SV5 != bot_bot_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[570]) ).
thf(643,plain,
! [SV5: set_a] :
( ( ( ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 ) )
= ( SV5 = bot_bot_set_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[570]) ).
thf(644,plain,
! [SV6: a] :
( ( member_a @ SV6 @ bot_bot_set_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(645,plain,
! [SV70: a] :
( ( ( bot_bot_a_o @ SV70 )
= ( member_a @ SV70 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(646,plain,
! [SV71: a,SV8: a] :
( ( ! [SY317: set_a] :
( ( member_a @ SV8 @ ( insert_a @ SV71 @ SY317 ) )
= ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SY317 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(647,plain,
! [SV72: a,SV10: a] :
( ( ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
= ( SV10 = SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(648,plain,
! [SV73: set_a,SV11: a] :
( ( member_a @ SV11 @ ( insert_a @ SV11 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(649,plain,
! [SV74: set_a,SV12: a] :
( ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
= ( ~ ( member_a @ SV12 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(650,plain,
! [SV75: set_Product_prod_a_a,SV13: set_a] :
( ( ! [SY318: a,SY319: a,SY320: a] :
( ~ ( prefer719835986ence_a @ SV13 @ SV75 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SY318 @ SV13 )
| ~ ( member_a @ SY319 @ SV13 ) )
| ~ ( member_a @ SY320 @ SV13 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY318 @ SY319 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY319 @ SY320 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY318 @ SY320 ) @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(651,plain,
! [SV76: set_a] :
( ( ( total_on_a @ SV76 )
= ( ^ [SY321: set_Product_prod_a_a] :
! [SY322: a] :
( ~ ( member_a @ SY322 @ SV76 )
| ! [SY323: a] :
( ~ ( member_a @ SY323 @ SV76 )
| ~ ( ( SY322 != SY323 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY322 @ SY323 ) @ SY321 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY323 @ SY322 ) @ SY321 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(652,plain,
! [SV15: a] :
( ( ( ~ ( member_a @ SV15 @ carrier ) )
= $true )
| ( ( ! [SY208: a] :
( ~ ( member_a @ SY208 @ carrier )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV15 @ SY208 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY208 @ SV15 ) @ relation ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(653,plain,
! [SV77: set_a,SV16: a] :
( ( ~ ( member_a @ SV16 @ SV77 )
| ( ( insert_a @ SV16 @ SV77 )
= SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(654,plain,
! [SV17: set_a] :
( ( ( ~ ! [SY210: a] :
~ ( member_a @ SY210 @ SV17 ) )
= $true )
| ( ( SV17 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(655,plain,
! [SV78: a,SV18: set_a] :
( ( ( SV18 != bot_bot_set_a )
| ~ ( member_a @ SV78 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(656,plain,
! [SV79: set_a,SV19: set_a] :
( ( ~ ! [SY324: a] :
( ~ ( member_a @ SY324 @ SV19 )
| ( member_a @ SY324 @ SV79 ) )
| ( ord_less_eq_set_a @ SV19 @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(657,plain,
! [SV80: set_Product_prod_a_a,SV20: set_a] :
( ( ! [SY325: a] :
( ~ ( prefer719835986ence_a @ SV20 @ SV80 )
| ~ ( ( SV20 != bot_bot_set_a ) )
| ~ ( member_a @ SY325 @ SV20 )
| ( ( prefer1676310729than_a @ SY325 @ SV20 @ SV80 )
!= bot_bot_set_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(658,plain,
! [SV81: a,SV21: a] :
( ( ! [SY326: a] :
( ~ ~ ( ~ ~ ( ~ ( member_a @ SV21 @ carrier )
| ~ ( member_a @ SV81 @ carrier ) )
| ~ ( member_a @ SY326 @ carrier ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SY326 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY326 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY326 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SY326 ) @ relation ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(659,plain,
! [SV22: set_a] :
( ( ( ~ ( ( SV22 != bot_bot_set_a ) ) )
= $true )
| ( ( ~ ! [SY218: a,SY219: a] :
( ~ ( member_a @ SY218 @ SV22 )
| ~ ( member_a @ SY219 @ SV22 )
| ( SY218 = SY219 ) )
| ( is_singleton_a @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(660,plain,
! [SV82: set_Product_prod_a_a,SV23: set_a] :
( ( ! [SY327: a,SY328: a] :
( ~ ( prefer719835986ence_a @ SV23 @ SV82 )
| ~ ( member_a @ SY327 @ SV23 )
| ~ ( member_a @ SY328 @ SV23 )
| ~ ( ( SY327 != SY328 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY327 @ SY328 ) @ SV82 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY328 @ SY327 ) @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(661,plain,
! [SV83: a,SV24: a] :
( ( ~ ( member_a @ SV24 @ carrier )
| ~ ( member_a @ SV83 @ carrier )
| ~ ( ( SV24 != SV83 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV24 @ SV83 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV83 @ SV24 ) @ relation ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(662,plain,
! [SV84: set_a,SV25: a] :
( ( ! [SY329: a,SY330: set_a] :
( ~ ~ ( member_a @ SV25 @ SV84 )
| ~ ~ ( member_a @ SY329 @ SY330 )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SY329 @ SY330 ) )
= ( ~ ( ~ ( ( SV25 != SY329 )
| ( SV84 = SY330 ) )
| ~ ( ~ ( ( SV25 != SY329 ) )
| ~ ! [SY331: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SY329 @ SY331 ) )
| ~ ~ ( member_a @ SY329 @ SY331 ) )
| ( SY330
!= ( insert_a @ SV25 @ SY331 ) ) )
| ~ ~ ( member_a @ SV25 @ SY331 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(663,plain,
( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[594]) ).
thf(664,plain,
( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[594]) ).
thf(665,plain,
! [SV85: set_Product_prod_a_a,SV26: a] :
( ( ~ ( member_a @ SV26 @ ( range_a_a @ SV85 ) )
| ~ ! [SY332: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY332 @ SV26 ) @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(666,plain,
! [SV86: set_Product_prod_a_a,SV27: set_a] :
( ( ! [SY333: a] :
( ~ ( refl_on_a @ SV27 @ SV86 )
| ~ ( member_a @ SY333 @ SV27 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY333 @ SY333 ) @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(667,plain,
! [SV87: set_Product_prod_a_a,SV28: a] :
( ( ~ ( member_a @ SV28 @ ( range_a_a @ SV87 ) )
| ~ ! [SY334: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY334 @ SV28 ) @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(668,plain,
! [SV88: set_a,SV29: a] :
( ( ! [SY335: a] :
( ~ ( member_a @ SV29 @ SV88 )
| ( member_a @ SV29 @ ( insert_a @ SY335 @ SV88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(669,plain,
! [SV89: set_Product_prod_a_a,SV30: set_a] :
( ( ~ ! [SY336: a,SY337: a] :
( ~ ( member_a @ SY336 @ SV30 )
| ~ ( member_a @ SY337 @ SV30 )
| ~ ( ( SY336 != SY337 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY336 @ SY337 ) @ SV89 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY337 @ SY336 ) @ SV89 ) )
| ( total_on_a @ SV30 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(670,plain,
! [SV90: set_Product_prod_a_a,SV31: a] :
( ( ! [SY338: a > $o] :
( ~ ( member_a @ SV31 @ ( range_a_a @ SV90 ) )
| ~ ! [SY339: a,SY340: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY339 @ SY340 ) @ SV90 )
| ( SY338 @ SY340 ) )
| ( SY338 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(671,plain,
! [SV91: set_Product_prod_a_a,SV32: set_a] :
( ( ! [SY341: a,SY342: a] :
( ~ ( prefer1292084992ence_a @ SV32 @ SV91 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY341 @ SY342 ) @ SV91 )
| ( member_a @ SY341 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(672,plain,
! [SV92: set_a] :
( ( ( ord_less_eq_set_a @ SV92 )
= ( ^ [SY343: set_a] :
! [SY344: a] :
( ~ ( member_a @ SY344 @ SV92 )
| ( member_a @ SY344 @ SY343 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(673,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= ( ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(674,plain,
! [SV94: set_a] :
( ( ( ord_less_eq_set_a @ SV94 )
= ( ^ [SY347: set_a] :
! [SY348: a] :
( ~ ( member_a @ SY348 @ SV94 )
| ( member_a @ SY348 @ SY347 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(675,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
= ( ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(676,plain,
! [SV96: a,SV37: a] :
( ( ! [SY350: set_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SY350 ) )
= ( ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SY350 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(677,plain,
! [SV38: set_a] :
( ( ( ~ ! [SY257: a] :
~ ( member_a @ SY257 @ SV38 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV38 @ bot_bot_set_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(678,plain,
! [SV97: set_a,SV39: set_a] :
( ( ! [SY351: a] :
( ~ ( ord_less_eq_set_a @ SV39 @ SV97 )
| ~ ( member_a @ SY351 @ SV39 )
| ( member_a @ SY351 @ SV97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(679,plain,
! [SV98: set_a,SV40: a] :
( ( ~ ~ ( member_a @ SV40 @ SV98 )
| ( member_a @ SV40 @ ( uminus_uminus_set_a @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(680,plain,
! [SV99: a,SV41: a] :
( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV41 @ SV99 ) @ relation )
| ( member_a @ SV41 @ carrier ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(681,plain,
! [SV100: set_Product_prod_a_a,SV42: set_a] :
( ( ! [SY352: a,SY353: a,SY354: a] :
( ~ ( prefer719835986ence_a @ SV42 @ SV100 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SY352 @ SV42 )
| ~ ( member_a @ SY353 @ SV42 ) )
| ~ ( member_a @ SY354 @ SV42 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY352 @ SY353 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY353 @ SY352 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY352 @ SY354 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY354 @ SY352 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY354 @ SY353 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY353 @ SY354 ) @ SV100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(682,plain,
! [SV101: set_Product_prod_a_a,SV43: set_a] :
( ( ! [SY355: a,SY356: a] :
( ~ ( prefer719835986ence_a @ SV43 @ SV101 )
| ~ ~ ( ~ ( member_a @ SY355 @ SV43 )
| ~ ( member_a @ SY356 @ SV43 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY356 @ SY355 ) @ SV101 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY355 @ SY356 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY356 @ SY355 ) @ SV101 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(683,plain,
! [SV102: set_a,SV44: a] :
( ( ~ ( member_a @ SV44 @ SV102 )
| ~ ! [SY357: set_a] :
( ( SV102
!= ( insert_a @ SV44 @ SY357 ) )
| ( member_a @ SV44 @ SY357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(684,plain,
! [SV45: a] :
( ( ( ~ ( ( carrier != bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( member_a @ SV45 @ carrier )
| ( ( prefer1676310729than_a @ SV45 @ carrier @ relation )
!= bot_bot_set_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(685,plain,
! [SV103: a,SV46: a] :
( ( ~ ~ ( ~ ( member_a @ SV46 @ carrier )
| ~ ( member_a @ SV103 @ carrier ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(686,plain,
! [SV104: a,SV47: a] :
( ( ! [SY358: set_a,SY359: set_Product_prod_a_a] :
( ~ ( member_a @ SV47 @ ( prefer161218362good_a @ SV104 @ SY358 @ SY359 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV47 @ SV104 ) @ SY359 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(687,plain,
! [SV105: a,SV48: a] :
( ( ! [SY360: set_Product_prod_a_a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV48 @ SV105 ) @ SY360 )
| ( member_a @ SV105 @ ( range_a_a @ SY360 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(688,plain,
! [SV106: set_a,SV49: a] :
( ( ! [SY361: set_a] :
( ~ ~ ( member_a @ SV49 @ SV106 )
| ~ ~ ( member_a @ SV49 @ SY361 )
| ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SY361 ) )
= ( SV106 = SY361 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(689,plain,
! [SV107: set_a,SV50: product_prod_a_a] :
( ( ~ ( member449909584od_a_a @ SV50 @ ( id_on_a @ SV107 ) )
| ~ ! [SY362: a] :
( ~ ( member_a @ SY362 @ SV107 )
| ( SV50
!= ( product_Pair_a_a @ SY362 @ SY362 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(690,plain,
! [SV108: set_Product_prod_a_a,SV51: set_a] :
( ( ! [SY363: a,SY364: a] :
( ~ ( refl_on_a @ SV51 @ SV108 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY363 @ SY364 ) @ SV108 )
| ( member_a @ SY363 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(691,plain,
! [SV109: set_a,SV52: a] :
( ( ! [SY365: a] :
( ~ ( ~ ~ ( member_a @ SV52 @ SV109 )
| ( SV52 = SY365 ) )
| ( member_a @ SV52 @ ( insert_a @ SY365 @ SV109 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(692,plain,
! [SV110: set_a,SV53: set_a] :
( ( ! [SY366: a] :
( ~ ( ord_less_eq_set_a @ SV53 @ SV110 )
| ~ ( member_a @ SY366 @ SV53 )
| ( member_a @ SY366 @ SV110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(693,plain,
! [SV54: set_a] :
( ( ~ ( ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ( SV54 != bot_bot_set_a ) )
| ~ ( ~ ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ~ ( ( SV54 != bot_bot_set_a ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[625]) ).
thf(694,plain,
! [SV54: set_a] :
( ( ( ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 ) )
= ( SV54 != bot_bot_set_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[625]) ).
thf(695,plain,
! [SV111: set_a,SV55: a] :
( ( ! [SY367: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SY367 )
= ( ~ ( ~ ( member_a @ SV55 @ SY367 )
| ~ ( ord_less_eq_set_a @ SV111 @ SY367 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(696,plain,
! [SV112: a,SV56: a] :
( ( ! [SY368: a] :
( ~ ~ ( ~ ~ ( ~ ( member_a @ SV56 @ carrier )
| ~ ( member_a @ SV112 @ carrier ) )
| ~ ( member_a @ SY368 @ carrier ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SY368 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SY368 ) @ relation ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(697,plain,
! [SV113: set_a,SV57: a] :
( ( ! [SY369: set_a] :
( ~ ~ ( member_a @ SV57 @ SV113 )
| ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SY369 ) )
= ( ord_less_eq_set_a @ SV113 @ SY369 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(698,plain,
! [SV114: set_a,SV58: a] :
( ( ~ ( member_a @ SV58 @ SV114 )
| ~ ! [SY370: set_a] :
~ ~ ( ( SV114
!= ( insert_a @ SV58 @ SY370 ) )
| ~ ~ ( member_a @ SV58 @ SY370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(699,plain,
! [SV115: a,SV59: a] :
( ( ! [SY371: set_a] :
( ( SV59 != SV115 )
| ~ ( member_a @ SV59 @ SY371 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV59 @ SV115 ) @ ( id_on_a @ SY371 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(700,plain,
! [SV116: set_Product_prod_a_a,SV60: set_a] :
( ( ! [SY372: a,SY373: a] :
( ~ ( refl_on_a @ SV60 @ SV116 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY372 @ SY373 ) @ SV116 )
| ( member_a @ SY373 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(701,plain,
! [SV117: set_a,SV61: a] :
( ( ~ ( member_a @ SV61 @ SV117 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV61 @ SV61 ) @ ( id_on_a @ SV117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(702,plain,
! [SV118: a,SV62: a] :
( ( ~ ( member_a @ SV62 @ ( insert_a @ SV118 @ bot_bot_set_a ) )
| ( SV62 = SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(703,plain,
! [SV119: a,SV63: a] :
( ( ! [SY374: set_a,SY375: set_Product_prod_a_a] :
( ~ ( member_a @ SV63 @ ( prefer161218362good_a @ SV119 @ SY374 @ SY375 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV63 @ SV119 ) @ SY375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(704,plain,
! [SV120: a,SV64: a] :
( ( ! [SY376: set_a] :
( ~ ( member_a @ SV64 @ ( insert_a @ SV120 @ SY376 ) )
| ~ ( ( SV64 != SV120 ) )
| ( member_a @ SV64 @ SY376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(705,plain,
! [SV121: set_Product_prod_a_a,SV65: set_a] :
( ( ~ ( prefer719835986ence_a @ SV65 @ SV121 )
| ! [SY377: a] :
( ~ ( member_a @ SY377 @ SV65 )
| ! [SY378: a] :
( ~ ( member_a @ SY378 @ SV65 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY377 @ SY378 ) @ SV121 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY378 @ SY377 ) @ SV121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(706,plain,
! [SV122: set_a,SV66: a] :
( ( ! [SY379: set_a] :
( ~ ( member_a @ SV66 @ SV122 )
| ~ ( ord_less_eq_set_a @ SY379 @ SV122 )
| ( ord_less_eq_set_a @ ( insert_a @ SV66 @ SY379 ) @ SV122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(707,plain,
! [SV123: set_Product_prod_a_a,SV67: set_a] :
( ( ! [SY380: a,SY381: a] :
( ~ ( refl_on_a @ SV67 @ SV123 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY380 @ SY381 ) @ SV123 )
| ~ ( ~ ( member_a @ SY380 @ SV67 )
| ~ ( member_a @ SY381 @ SV67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(708,plain,
! [SV68: a > $o,SV1: a] :
( ( ~ ( ( member_a @ SV1 @ ( collect_a @ SV68 ) )
| ( SV68 @ SV1 ) )
| ~ ( ~ ( member_a @ SV1 @ ( collect_a @ SV68 ) )
| ~ ( SV68 @ SV1 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[639]) ).
thf(709,plain,
! [SV68: a > $o,SV1: a] :
( ( ( member_a @ SV1 @ ( collect_a @ SV68 ) )
= ( SV68 @ SV1 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[639]) ).
thf(710,plain,
! [SV69: a,SV3: a] :
( ( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ SV3 @ carrier @ relation ) @ ( prefer1676310729than_a @ SV69 @ carrier @ relation ) )
= $true )
| ( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ SV69 @ carrier @ relation ) @ ( prefer1676310729than_a @ SV3 @ carrier @ relation ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(711,plain,
! [SV5: set_a] :
( ( ( ~ ( ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 )
| ( SV5 = bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ~ ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 )
| ( SV5 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(712,plain,
! [SV70: a] :
( ( ~ ( ( bot_bot_a_o @ SV70 )
| ( member_a @ SV70 @ bot_bot_set_a ) )
| ~ ( ~ ( bot_bot_a_o @ SV70 )
| ~ ( member_a @ SV70 @ bot_bot_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[645]) ).
thf(713,plain,
! [SV70: a] :
( ( ( bot_bot_a_o @ SV70 )
= ( member_a @ SV70 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[645]) ).
thf(714,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
= ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(715,plain,
! [SV72: a,SV10: a] :
( ( ~ ( ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
| ( SV10 = SV72 ) )
| ~ ( ~ ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
| ( SV10 != SV72 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(716,plain,
! [SV72: a,SV10: a] :
( ( ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
= ( SV10 = SV72 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(717,plain,
! [SV74: set_a,SV12: a] :
( ( ~ ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
| ~ ( member_a @ SV12 @ SV74 ) )
| ~ ( ~ ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
| ~ ~ ( member_a @ SV12 @ SV74 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[649]) ).
thf(718,plain,
! [SV74: set_a,SV12: a] :
( ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
= ( ~ ( member_a @ SV12 @ SV74 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[649]) ).
thf(719,plain,
! [SV125: a,SV75: set_Product_prod_a_a,SV13: set_a] :
( ( ! [SY382: a,SY383: a] :
( ~ ( prefer719835986ence_a @ SV13 @ SV75 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SV125 @ SV13 )
| ~ ( member_a @ SY382 @ SV13 ) )
| ~ ( member_a @ SY383 @ SV13 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SY382 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY382 @ SY383 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SY383 ) @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(720,plain,
! [SV76: set_a] :
( ( ! [SV126: set_Product_prod_a_a] :
( ( total_on_a @ SV76 @ SV126 )
= ( ! [SY384: a] :
( ~ ( member_a @ SY384 @ SV76 )
| ! [SY385: a] :
( ~ ( member_a @ SY385 @ SV76 )
| ~ ( ( SY384 != SY385 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY384 @ SY385 ) @ SV126 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY385 @ SY384 ) @ SV126 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[651]) ).
thf(721,plain,
! [SV76: set_a] :
( ( ( total_on_a @ SV76 )
= ( ^ [SY321: set_Product_prod_a_a] :
! [SY322: a] :
( ~ ( member_a @ SY322 @ SV76 )
| ! [SY323: a] :
( ~ ( member_a @ SY323 @ SV76 )
| ~ ( ( SY322 != SY323 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY322 @ SY323 ) @ SY321 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY323 @ SY322 ) @ SY321 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[651]) ).
thf(722,plain,
! [SV15: a] :
( ( ( member_a @ SV15 @ carrier )
= $false )
| ( ( ! [SY208: a] :
( ~ ( member_a @ SY208 @ carrier )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV15 @ SY208 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY208 @ SV15 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(723,plain,
! [SV77: set_a,SV16: a] :
( ( ( ~ ( member_a @ SV16 @ SV77 ) )
= $true )
| ( ( ( insert_a @ SV16 @ SV77 )
= SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(724,plain,
! [SV17: set_a] :
( ( ( ! [SY210: a] :
~ ( member_a @ SY210 @ SV17 ) )
= $false )
| ( ( SV17 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(725,plain,
! [SV78: a,SV18: set_a] :
( ( ( SV18 != bot_bot_set_a )
= $true )
| ( ( ~ ( member_a @ SV78 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(726,plain,
! [SV79: set_a,SV19: set_a] :
( ( ( ~ ! [SY324: a] :
( ~ ( member_a @ SY324 @ SV19 )
| ( member_a @ SY324 @ SV79 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV19 @ SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(727,plain,
! [SV127: a,SV80: set_Product_prod_a_a,SV20: set_a] :
( ( ~ ( prefer719835986ence_a @ SV20 @ SV80 )
| ~ ( ( SV20 != bot_bot_set_a ) )
| ~ ( member_a @ SV127 @ SV20 )
| ( ( prefer1676310729than_a @ SV127 @ SV20 @ SV80 )
!= bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(728,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV21 @ carrier )
| ~ ( member_a @ SV81 @ carrier ) )
| ~ ( member_a @ SV128 @ carrier ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(729,plain,
! [SV22: set_a] :
( ( ( SV22 != bot_bot_set_a )
= $false )
| ( ( ~ ! [SY218: a,SY219: a] :
( ~ ( member_a @ SY218 @ SV22 )
| ~ ( member_a @ SY219 @ SV22 )
| ( SY218 = SY219 ) )
| ( is_singleton_a @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(730,plain,
! [SV129: a,SV82: set_Product_prod_a_a,SV23: set_a] :
( ( ! [SY386: a] :
( ~ ( prefer719835986ence_a @ SV23 @ SV82 )
| ~ ( member_a @ SV129 @ SV23 )
| ~ ( member_a @ SY386 @ SV23 )
| ~ ( ( SV129 != SY386 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV129 @ SY386 ) @ SV82 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY386 @ SV129 ) @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(731,plain,
! [SV83: a,SV24: a] :
( ( ( ~ ( member_a @ SV24 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV83 @ carrier )
| ~ ( ( SV24 != SV83 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV24 @ SV83 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV83 @ SV24 ) @ relation ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(732,plain,
! [SV130: a,SV84: set_a,SV25: a] :
( ( ! [SY387: set_a] :
( ~ ~ ( member_a @ SV25 @ SV84 )
| ~ ~ ( member_a @ SV130 @ SY387 )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SY387 ) )
= ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SY387 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY388: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY388 ) )
| ~ ~ ( member_a @ SV130 @ SY388 ) )
| ( SY387
!= ( insert_a @ SV25 @ SY388 ) ) )
| ~ ~ ( member_a @ SV25 @ SY388 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(733,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
= $true ),
inference(extcnf_not_neg,[status(thm)],[663]) ).
thf(734,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation )
= $true ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(735,plain,
! [SV85: set_Product_prod_a_a,SV26: a] :
( ( ( ~ ( member_a @ SV26 @ ( range_a_a @ SV85 ) ) )
= $true )
| ( ( ~ ! [SY332: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY332 @ SV26 ) @ SV85 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(736,plain,
! [SV131: a,SV86: set_Product_prod_a_a,SV27: set_a] :
( ( ~ ( refl_on_a @ SV27 @ SV86 )
| ~ ( member_a @ SV131 @ SV27 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV131 @ SV131 ) @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(737,plain,
! [SV87: set_Product_prod_a_a,SV28: a] :
( ( ( ~ ( member_a @ SV28 @ ( range_a_a @ SV87 ) ) )
= $true )
| ( ( ~ ! [SY334: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY334 @ SV28 ) @ SV87 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(738,plain,
! [SV132: a,SV88: set_a,SV29: a] :
( ( ~ ( member_a @ SV29 @ SV88 )
| ( member_a @ SV29 @ ( insert_a @ SV132 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(739,plain,
! [SV89: set_Product_prod_a_a,SV30: set_a] :
( ( ( ~ ! [SY336: a,SY337: a] :
( ~ ( member_a @ SY336 @ SV30 )
| ~ ( member_a @ SY337 @ SV30 )
| ~ ( ( SY336 != SY337 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY336 @ SY337 ) @ SV89 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY337 @ SY336 ) @ SV89 ) ) )
= $true )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(740,plain,
! [SV133: a > $o,SV90: set_Product_prod_a_a,SV31: a] :
( ( ~ ( member_a @ SV31 @ ( range_a_a @ SV90 ) )
| ~ ! [SY389: a,SY390: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY389 @ SY390 ) @ SV90 )
| ( SV133 @ SY390 ) )
| ( SV133 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(741,plain,
! [SV134: a,SV91: set_Product_prod_a_a,SV32: set_a] :
( ( ! [SY391: a] :
( ~ ( prefer1292084992ence_a @ SV32 @ SV91 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV134 @ SY391 ) @ SV91 )
| ( member_a @ SV134 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(742,plain,
! [SV92: set_a] :
( ( ! [SV135: set_a] :
( ( ord_less_eq_set_a @ SV92 @ SV135 )
= ( ! [SY392: a] :
( ~ ( member_a @ SY392 @ SV92 )
| ( member_a @ SY392 @ SV135 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[672]) ).
thf(743,plain,
! [SV92: set_a] :
( ( ( ord_less_eq_set_a @ SV92 )
= ( ^ [SY343: set_a] :
! [SY344: a] :
( ~ ( member_a @ SY344 @ SV92 )
| ( member_a @ SY344 @ SY343 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[672]) ).
thf(744,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ~ ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) )
| ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[673]) ).
thf(745,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= ( ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[673]) ).
thf(746,plain,
! [SV94: set_a] :
( ( ! [SV136: set_a] :
( ( ord_less_eq_set_a @ SV94 @ SV136 )
= ( ! [SY393: a] :
( ~ ( member_a @ SY393 @ SV94 )
| ( member_a @ SY393 @ SV136 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[674]) ).
thf(747,plain,
! [SV94: set_a] :
( ( ( ord_less_eq_set_a @ SV94 )
= ( ^ [SY347: set_a] :
! [SY348: a] :
( ~ ( member_a @ SY348 @ SV94 )
| ( member_a @ SY348 @ SY347 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[674]) ).
thf(748,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ~ ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
| ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) )
| ~ ( ~ ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
| ~ ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[675]) ).
thf(749,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
= ( ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[675]) ).
thf(750,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= ( ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(751,plain,
! [SV38: set_a] :
( ( ( ! [SY257: a] :
~ ( member_a @ SY257 @ SV38 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV38 @ bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(752,plain,
! [SV138: a,SV97: set_a,SV39: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV39 @ SV97 )
| ~ ( member_a @ SV138 @ SV39 )
| ( member_a @ SV138 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(753,plain,
! [SV98: set_a,SV40: a] :
( ( ( ~ ~ ( member_a @ SV40 @ SV98 ) )
= $true )
| ( ( member_a @ SV40 @ ( uminus_uminus_set_a @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(754,plain,
! [SV99: a,SV41: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV41 @ SV99 ) @ relation ) )
= $true )
| ( ( member_a @ SV41 @ carrier )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(755,plain,
! [SV139: a,SV100: set_Product_prod_a_a,SV42: set_a] :
( ( ! [SY394: a,SY395: a] :
( ~ ( prefer719835986ence_a @ SV42 @ SV100 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SV139 @ SV42 )
| ~ ( member_a @ SY394 @ SV42 ) )
| ~ ( member_a @ SY395 @ SV42 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SY394 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY394 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SY395 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY395 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY395 @ SY394 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY394 @ SY395 ) @ SV100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(756,plain,
! [SV140: a,SV101: set_Product_prod_a_a,SV43: set_a] :
( ( ! [SY396: a] :
( ~ ( prefer719835986ence_a @ SV43 @ SV101 )
| ~ ~ ( ~ ( member_a @ SV140 @ SV43 )
| ~ ( member_a @ SY396 @ SV43 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY396 @ SV140 ) @ SV101 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SY396 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY396 @ SV140 ) @ SV101 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(757,plain,
! [SV102: set_a,SV44: a] :
( ( ( ~ ( member_a @ SV44 @ SV102 ) )
= $true )
| ( ( ~ ! [SY357: set_a] :
( ( SV102
!= ( insert_a @ SV44 @ SY357 ) )
| ( member_a @ SV44 @ SY357 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(758,plain,
! [SV45: a] :
( ( ( carrier != bot_bot_set_a )
= $false )
| ( ( ~ ( member_a @ SV45 @ carrier )
| ( ( prefer1676310729than_a @ SV45 @ carrier @ relation )
!= bot_bot_set_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(759,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV46 @ carrier )
| ~ ( member_a @ SV103 @ carrier ) ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(760,plain,
! [SV141: set_a,SV104: a,SV47: a] :
( ( ! [SY397: set_Product_prod_a_a] :
( ~ ( member_a @ SV47 @ ( prefer161218362good_a @ SV104 @ SV141 @ SY397 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV47 @ SV104 ) @ SY397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(761,plain,
! [SV142: set_Product_prod_a_a,SV105: a,SV48: a] :
( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV48 @ SV105 ) @ SV142 )
| ( member_a @ SV105 @ ( range_a_a @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(762,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ~ ~ ( member_a @ SV49 @ SV106 )
| ~ ~ ( member_a @ SV49 @ SV143 )
| ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= ( SV106 = SV143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(763,plain,
! [SV107: set_a,SV50: product_prod_a_a] :
( ( ( ~ ( member449909584od_a_a @ SV50 @ ( id_on_a @ SV107 ) ) )
= $true )
| ( ( ~ ! [SY362: a] :
( ~ ( member_a @ SY362 @ SV107 )
| ( SV50
!= ( product_Pair_a_a @ SY362 @ SY362 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(764,plain,
! [SV144: a,SV108: set_Product_prod_a_a,SV51: set_a] :
( ( ! [SY398: a] :
( ~ ( refl_on_a @ SV51 @ SV108 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV144 @ SY398 ) @ SV108 )
| ( member_a @ SV144 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(765,plain,
! [SV145: a,SV109: set_a,SV52: a] :
( ( ~ ( ~ ~ ( member_a @ SV52 @ SV109 )
| ( SV52 = SV145 ) )
| ( member_a @ SV52 @ ( insert_a @ SV145 @ SV109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(766,plain,
! [SV146: a,SV110: set_a,SV53: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV53 @ SV110 )
| ~ ( member_a @ SV146 @ SV53 )
| ( member_a @ SV146 @ SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(767,plain,
! [SV54: set_a] :
( ( ( ~ ( ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ( SV54 != bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ~ ( ( SV54 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(768,plain,
! [SV147: set_a,SV111: set_a,SV55: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= ( ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(769,plain,
! [SV148: a,SV112: a,SV56: a] :
( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV56 @ carrier )
| ~ ( member_a @ SV112 @ carrier ) )
| ~ ( member_a @ SV148 @ carrier ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(770,plain,
! [SV149: set_a,SV113: set_a,SV57: a] :
( ( ~ ~ ( member_a @ SV57 @ SV113 )
| ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
= ( ord_less_eq_set_a @ SV113 @ SV149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(771,plain,
! [SV114: set_a,SV58: a] :
( ( ( ~ ( member_a @ SV58 @ SV114 ) )
= $true )
| ( ( ~ ! [SY370: set_a] :
~ ~ ( ( SV114
!= ( insert_a @ SV58 @ SY370 ) )
| ~ ~ ( member_a @ SV58 @ SY370 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(772,plain,
! [SV150: set_a,SV115: a,SV59: a] :
( ( ( SV59 != SV115 )
| ~ ( member_a @ SV59 @ SV150 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV59 @ SV115 ) @ ( id_on_a @ SV150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(773,plain,
! [SV151: a,SV116: set_Product_prod_a_a,SV60: set_a] :
( ( ! [SY399: a] :
( ~ ( refl_on_a @ SV60 @ SV116 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV151 @ SY399 ) @ SV116 )
| ( member_a @ SY399 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(774,plain,
! [SV117: set_a,SV61: a] :
( ( ( ~ ( member_a @ SV61 @ SV117 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV61 @ SV61 ) @ ( id_on_a @ SV117 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(775,plain,
! [SV118: a,SV62: a] :
( ( ( ~ ( member_a @ SV62 @ ( insert_a @ SV118 @ bot_bot_set_a ) ) )
= $true )
| ( ( SV62 = SV118 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(776,plain,
! [SV152: set_a,SV119: a,SV63: a] :
( ( ! [SY400: set_Product_prod_a_a] :
( ~ ( member_a @ SV63 @ ( prefer161218362good_a @ SV119 @ SV152 @ SY400 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV63 @ SV119 ) @ SY400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(777,plain,
! [SV153: set_a,SV120: a,SV64: a] :
( ( ~ ( member_a @ SV64 @ ( insert_a @ SV120 @ SV153 ) )
| ~ ( ( SV64 != SV120 ) )
| ( member_a @ SV64 @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(778,plain,
! [SV121: set_Product_prod_a_a,SV65: set_a] :
( ( ( ~ ( prefer719835986ence_a @ SV65 @ SV121 ) )
= $true )
| ( ( ! [SY377: a] :
( ~ ( member_a @ SY377 @ SV65 )
| ! [SY378: a] :
( ~ ( member_a @ SY378 @ SV65 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY377 @ SY378 ) @ SV121 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY378 @ SY377 ) @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(779,plain,
! [SV154: set_a,SV122: set_a,SV66: a] :
( ( ~ ( member_a @ SV66 @ SV122 )
| ~ ( ord_less_eq_set_a @ SV154 @ SV122 )
| ( ord_less_eq_set_a @ ( insert_a @ SV66 @ SV154 ) @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(780,plain,
! [SV155: a,SV123: set_Product_prod_a_a,SV67: set_a] :
( ( ! [SY401: a] :
( ~ ( refl_on_a @ SV67 @ SV123 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV155 @ SY401 ) @ SV123 )
| ~ ( ~ ( member_a @ SV155 @ SV67 )
| ~ ( member_a @ SY401 @ SV67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(781,plain,
! [SV68: a > $o,SV1: a] :
( ( ( ~ ( ( member_a @ SV1 @ ( collect_a @ SV68 ) )
| ( SV68 @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV1 @ ( collect_a @ SV68 ) )
| ~ ( SV68 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(782,plain,
! [SV5: set_a] :
( ( ( ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 )
| ( SV5 = bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 )
| ( SV5 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(783,plain,
! [SV70: a] :
( ( ( ~ ( ( bot_bot_a_o @ SV70 )
| ( member_a @ SV70 @ bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ~ ( bot_bot_a_o @ SV70 )
| ~ ( member_a @ SV70 @ bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(784,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ~ ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
| ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) )
| ~ ( ~ ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
| ~ ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[714]) ).
thf(785,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
= ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[714]) ).
thf(786,plain,
! [SV72: a,SV10: a] :
( ( ( ~ ( ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
| ( SV10 = SV72 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
| ( SV10 != SV72 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(787,plain,
! [SV74: set_a,SV12: a] :
( ( ( ~ ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
| ~ ( member_a @ SV12 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
| ~ ~ ( member_a @ SV12 @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(788,plain,
! [SV156: a,SV125: a,SV75: set_Product_prod_a_a,SV13: set_a] :
( ( ! [SY402: a] :
( ~ ( prefer719835986ence_a @ SV13 @ SV75 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SV125 @ SV13 )
| ~ ( member_a @ SV156 @ SV13 ) )
| ~ ( member_a @ SY402 @ SV13 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SY402 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SY402 ) @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(789,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( total_on_a @ SV76 @ SV157 )
= ( ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(790,plain,
! [SV15: a,SV158: a] :
( ( ( ~ ( member_a @ SV158 @ carrier )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV15 @ SV158 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV158 @ SV15 ) @ relation ) )
= $true )
| ( ( member_a @ SV15 @ carrier )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(791,plain,
! [SV77: set_a,SV16: a] :
( ( ( member_a @ SV16 @ SV77 )
= $false )
| ( ( ( insert_a @ SV16 @ SV77 )
= SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(792,plain,
! [SV17: set_a] :
( ( ( ~ ( member_a @ ( sK1_SY210 @ SV17 ) @ SV17 ) )
= $false )
| ( ( SV17 = bot_bot_set_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[724]) ).
thf(793,plain,
! [SV78: a,SV18: set_a] :
( ( ( SV18 = bot_bot_set_a )
= $false )
| ( ( ~ ( member_a @ SV78 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(794,plain,
! [SV79: set_a,SV19: set_a] :
( ( ( ! [SY324: a] :
( ~ ( member_a @ SY324 @ SV19 )
| ( member_a @ SY324 @ SV79 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV19 @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(795,plain,
! [SV127: a,SV80: set_Product_prod_a_a,SV20: set_a] :
( ( ( ~ ( prefer719835986ence_a @ SV20 @ SV80 ) )
= $true )
| ( ( ~ ( ( SV20 != bot_bot_set_a ) )
| ~ ( member_a @ SV127 @ SV20 )
| ( ( prefer1676310729than_a @ SV127 @ SV20 @ SV80 )
!= bot_bot_set_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(796,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV21 @ carrier )
| ~ ( member_a @ SV81 @ carrier ) )
| ~ ( member_a @ SV128 @ carrier ) ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[728]) ).
thf(797,plain,
! [SV22: set_a] :
( ( ( SV22 = bot_bot_set_a )
= $true )
| ( ( ~ ! [SY218: a,SY219: a] :
( ~ ( member_a @ SY218 @ SV22 )
| ~ ( member_a @ SY219 @ SV22 )
| ( SY218 = SY219 ) )
| ( is_singleton_a @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(798,plain,
! [SV159: a,SV129: a,SV82: set_Product_prod_a_a,SV23: set_a] :
( ( ~ ( prefer719835986ence_a @ SV23 @ SV82 )
| ~ ( member_a @ SV129 @ SV23 )
| ~ ( member_a @ SV159 @ SV23 )
| ~ ( ( SV129 != SV159 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV129 @ SV159 ) @ SV82 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV159 @ SV129 ) @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(799,plain,
! [SV83: a,SV24: a] :
( ( ( member_a @ SV24 @ carrier )
= $false )
| ( ( ~ ( member_a @ SV83 @ carrier )
| ~ ( ( SV24 != SV83 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV24 @ SV83 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV83 @ SV24 ) @ relation ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(800,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ~ ~ ( member_a @ SV25 @ SV84 )
| ~ ~ ( member_a @ SV130 @ SV160 )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(801,plain,
! [SV85: set_Product_prod_a_a,SV26: a] :
( ( ( member_a @ SV26 @ ( range_a_a @ SV85 ) )
= $false )
| ( ( ~ ! [SY332: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY332 @ SV26 ) @ SV85 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(802,plain,
! [SV131: a,SV86: set_Product_prod_a_a,SV27: set_a] :
( ( ( ~ ( refl_on_a @ SV27 @ SV86 ) )
= $true )
| ( ( ~ ( member_a @ SV131 @ SV27 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV131 @ SV131 ) @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(803,plain,
! [SV87: set_Product_prod_a_a,SV28: a] :
( ( ( member_a @ SV28 @ ( range_a_a @ SV87 ) )
= $false )
| ( ( ~ ! [SY334: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY334 @ SV28 ) @ SV87 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(804,plain,
! [SV132: a,SV88: set_a,SV29: a] :
( ( ( ~ ( member_a @ SV29 @ SV88 ) )
= $true )
| ( ( member_a @ SV29 @ ( insert_a @ SV132 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[738]) ).
thf(805,plain,
! [SV89: set_Product_prod_a_a,SV30: set_a] :
( ( ( ! [SY336: a,SY337: a] :
( ~ ( member_a @ SY336 @ SV30 )
| ~ ( member_a @ SY337 @ SV30 )
| ~ ( ( SY336 != SY337 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY336 @ SY337 ) @ SV89 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY337 @ SY336 ) @ SV89 ) ) )
= $false )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(806,plain,
! [SV133: a > $o,SV90: set_Product_prod_a_a,SV31: a] :
( ( ( ~ ( member_a @ SV31 @ ( range_a_a @ SV90 ) ) )
= $true )
| ( ( ~ ! [SY389: a,SY390: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY389 @ SY390 ) @ SV90 )
| ( SV133 @ SY390 ) )
| ( SV133 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(807,plain,
! [SV161: a,SV134: a,SV91: set_Product_prod_a_a,SV32: set_a] :
( ( ~ ( prefer1292084992ence_a @ SV32 @ SV91 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV134 @ SV161 ) @ SV91 )
| ( member_a @ SV134 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(808,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= ( ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(809,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(810,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= ( ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(811,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ~ ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
| ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
| ~ ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(812,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ~ ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[750]) ).
thf(813,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= ( ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[750]) ).
thf(814,plain,
! [SV38: set_a] :
( ( ( ~ ( member_a @ ( sK2_SY257 @ SV38 ) @ SV38 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV38 @ bot_bot_set_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[751]) ).
thf(815,plain,
! [SV138: a,SV97: set_a,SV39: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV39 @ SV97 ) )
= $true )
| ( ( ~ ( member_a @ SV138 @ SV39 )
| ( member_a @ SV138 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(816,plain,
! [SV98: set_a,SV40: a] :
( ( ( ~ ( member_a @ SV40 @ SV98 ) )
= $false )
| ( ( member_a @ SV40 @ ( uminus_uminus_set_a @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(817,plain,
! [SV99: a,SV41: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV41 @ SV99 ) @ relation )
= $false )
| ( ( member_a @ SV41 @ carrier )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(818,plain,
! [SV164: a,SV139: a,SV100: set_Product_prod_a_a,SV42: set_a] :
( ( ! [SY408: a] :
( ~ ( prefer719835986ence_a @ SV42 @ SV100 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SV139 @ SV42 )
| ~ ( member_a @ SV164 @ SV42 ) )
| ~ ( member_a @ SY408 @ SV42 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SY408 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY408 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY408 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SY408 ) @ SV100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(819,plain,
! [SV165: a,SV140: a,SV101: set_Product_prod_a_a,SV43: set_a] :
( ( ~ ( prefer719835986ence_a @ SV43 @ SV101 )
| ~ ~ ( ~ ( member_a @ SV140 @ SV43 )
| ~ ( member_a @ SV165 @ SV43 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(820,plain,
! [SV102: set_a,SV44: a] :
( ( ( member_a @ SV44 @ SV102 )
= $false )
| ( ( ~ ! [SY357: set_a] :
( ( SV102
!= ( insert_a @ SV44 @ SY357 ) )
| ( member_a @ SV44 @ SY357 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(821,plain,
! [SV45: a] :
( ( ( carrier = bot_bot_set_a )
= $true )
| ( ( ~ ( member_a @ SV45 @ carrier )
| ( ( prefer1676310729than_a @ SV45 @ carrier @ relation )
!= bot_bot_set_a ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(822,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ( ~ ( member_a @ SV46 @ carrier )
| ~ ( member_a @ SV103 @ carrier ) ) )
= $false )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(823,plain,
! [SV166: set_Product_prod_a_a,SV141: set_a,SV104: a,SV47: a] :
( ( ~ ( member_a @ SV47 @ ( prefer161218362good_a @ SV104 @ SV141 @ SV166 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV47 @ SV104 ) @ SV166 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(824,plain,
! [SV142: set_Product_prod_a_a,SV105: a,SV48: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV48 @ SV105 ) @ SV142 ) )
= $true )
| ( ( member_a @ SV105 @ ( range_a_a @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(825,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( ~ ~ ( member_a @ SV49 @ SV106 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV49 @ SV143 )
| ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= ( SV106 = SV143 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(826,plain,
! [SV107: set_a,SV50: product_prod_a_a] :
( ( ( member449909584od_a_a @ SV50 @ ( id_on_a @ SV107 ) )
= $false )
| ( ( ~ ! [SY362: a] :
( ~ ( member_a @ SY362 @ SV107 )
| ( SV50
!= ( product_Pair_a_a @ SY362 @ SY362 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(827,plain,
! [SV167: a,SV144: a,SV108: set_Product_prod_a_a,SV51: set_a] :
( ( ~ ( refl_on_a @ SV51 @ SV108 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV144 @ SV167 ) @ SV108 )
| ( member_a @ SV144 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[764]) ).
thf(828,plain,
! [SV145: a,SV109: set_a,SV52: a] :
( ( ( ~ ( ~ ~ ( member_a @ SV52 @ SV109 )
| ( SV52 = SV145 ) ) )
= $true )
| ( ( member_a @ SV52 @ ( insert_a @ SV145 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(829,plain,
! [SV146: a,SV110: set_a,SV53: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV53 @ SV110 ) )
= $true )
| ( ( ~ ( member_a @ SV146 @ SV53 )
| ( member_a @ SV146 @ SV110 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(830,plain,
! [SV54: set_a] :
( ( ( ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ( SV54 != bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ~ ( ( SV54 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(831,plain,
! [SV147: set_a,SV111: set_a,SV55: a] :
( ( ~ ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[768]) ).
thf(832,plain,
! [SV147: set_a,SV111: set_a,SV55: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= ( ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[768]) ).
thf(833,plain,
! [SV148: a,SV112: a,SV56: a] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV56 @ carrier )
| ~ ( member_a @ SV112 @ carrier ) )
| ~ ( member_a @ SV148 @ carrier ) ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(834,plain,
! [SV149: set_a,SV113: set_a,SV57: a] :
( ( ( ~ ~ ( member_a @ SV57 @ SV113 ) )
= $true )
| ( ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
= ( ord_less_eq_set_a @ SV113 @ SV149 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(835,plain,
! [SV114: set_a,SV58: a] :
( ( ( member_a @ SV58 @ SV114 )
= $false )
| ( ( ~ ! [SY370: set_a] :
~ ~ ( ( SV114
!= ( insert_a @ SV58 @ SY370 ) )
| ~ ~ ( member_a @ SV58 @ SY370 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(836,plain,
! [SV150: set_a,SV115: a,SV59: a] :
( ( ( SV59 != SV115 )
= $true )
| ( ( ~ ( member_a @ SV59 @ SV150 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV59 @ SV115 ) @ ( id_on_a @ SV150 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(837,plain,
! [SV168: a,SV151: a,SV116: set_Product_prod_a_a,SV60: set_a] :
( ( ~ ( refl_on_a @ SV60 @ SV116 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV151 @ SV168 ) @ SV116 )
| ( member_a @ SV168 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(838,plain,
! [SV117: set_a,SV61: a] :
( ( ( member_a @ SV61 @ SV117 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV61 @ SV61 ) @ ( id_on_a @ SV117 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(839,plain,
! [SV118: a,SV62: a] :
( ( ( member_a @ SV62 @ ( insert_a @ SV118 @ bot_bot_set_a ) )
= $false )
| ( ( SV62 = SV118 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(840,plain,
! [SV169: set_Product_prod_a_a,SV152: set_a,SV119: a,SV63: a] :
( ( ~ ( member_a @ SV63 @ ( prefer161218362good_a @ SV119 @ SV152 @ SV169 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV63 @ SV119 ) @ SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(841,plain,
! [SV153: set_a,SV120: a,SV64: a] :
( ( ( ~ ( member_a @ SV64 @ ( insert_a @ SV120 @ SV153 ) ) )
= $true )
| ( ( ~ ( ( SV64 != SV120 ) )
| ( member_a @ SV64 @ SV153 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(842,plain,
! [SV121: set_Product_prod_a_a,SV65: set_a] :
( ( ( prefer719835986ence_a @ SV65 @ SV121 )
= $false )
| ( ( ! [SY377: a] :
( ~ ( member_a @ SY377 @ SV65 )
| ! [SY378: a] :
( ~ ( member_a @ SY378 @ SV65 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY377 @ SY378 ) @ SV121 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY378 @ SY377 ) @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(843,plain,
! [SV154: set_a,SV122: set_a,SV66: a] :
( ( ( ~ ( member_a @ SV66 @ SV122 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV154 @ SV122 )
| ( ord_less_eq_set_a @ ( insert_a @ SV66 @ SV154 ) @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(844,plain,
! [SV170: a,SV155: a,SV123: set_Product_prod_a_a,SV67: set_a] :
( ( ~ ( refl_on_a @ SV67 @ SV123 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV155 @ SV170 ) @ SV123 )
| ~ ( ~ ( member_a @ SV155 @ SV67 )
| ~ ( member_a @ SV170 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(845,plain,
! [SV68: a > $o,SV1: a] :
( ( ( ( member_a @ SV1 @ ( collect_a @ SV68 ) )
| ( SV68 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV1 @ ( collect_a @ SV68 ) )
| ~ ( SV68 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(846,plain,
! [SV5: set_a] :
( ( ( ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 ) )
= $false )
| ( ( ~ ( ~ ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 )
| ( SV5 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[782]) ).
thf(847,plain,
! [SV5: set_a] :
( ( ( SV5 = bot_bot_set_a )
= $false )
| ( ( ~ ( ~ ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 )
| ( SV5 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[782]) ).
thf(848,plain,
! [SV70: a] :
( ( ( ( bot_bot_a_o @ SV70 )
| ( member_a @ SV70 @ bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ( bot_bot_a_o @ SV70 )
| ~ ( member_a @ SV70 @ bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(849,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ~ ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
| ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
| ~ ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[784]) ).
thf(850,plain,
! [SV72: a,SV10: a] :
( ( ( ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
| ( SV10 = SV72 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
| ( SV10 != SV72 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(851,plain,
! [SV74: set_a,SV12: a] :
( ( ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
| ~ ( member_a @ SV12 @ SV74 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
| ~ ~ ( member_a @ SV12 @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(852,plain,
! [SV171: a,SV156: a,SV125: a,SV75: set_Product_prod_a_a,SV13: set_a] :
( ( ~ ( prefer719835986ence_a @ SV13 @ SV75 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SV125 @ SV13 )
| ~ ( member_a @ SV156 @ SV13 ) )
| ~ ( member_a @ SV171 @ SV13 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(853,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ~ ( ( total_on_a @ SV76 @ SV157 )
| ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
| ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[789]) ).
thf(854,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( total_on_a @ SV76 @ SV157 )
= ( ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[789]) ).
thf(855,plain,
! [SV15: a,SV158: a] :
( ( ( ~ ( member_a @ SV158 @ carrier ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV15 @ SV158 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV158 @ SV15 ) @ relation ) )
= $true )
| ( ( member_a @ SV15 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[790]) ).
thf(856,plain,
! [SV17: set_a] :
( ( ( member_a @ ( sK1_SY210 @ SV17 ) @ SV17 )
= $true )
| ( ( SV17 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(857,plain,
! [SV18: set_a,SV78: a] :
( ( ( member_a @ SV78 @ SV18 )
= $false )
| ( ( SV18 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(858,plain,
! [SV19: set_a,SV79: set_a] :
( ( ( ~ ( member_a @ ( sK3_SY324 @ SV79 @ SV19 ) @ SV19 )
| ( member_a @ ( sK3_SY324 @ SV79 @ SV19 ) @ SV79 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV19 @ SV79 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[794]) ).
thf(859,plain,
! [SV127: a,SV80: set_Product_prod_a_a,SV20: set_a] :
( ( ( prefer719835986ence_a @ SV20 @ SV80 )
= $false )
| ( ( ~ ( ( SV20 != bot_bot_set_a ) )
| ~ ( member_a @ SV127 @ SV20 )
| ( ( prefer1676310729than_a @ SV127 @ SV20 @ SV80 )
!= bot_bot_set_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(860,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ( ~ ( ~ ~ ( ~ ( member_a @ SV21 @ carrier )
| ~ ( member_a @ SV81 @ carrier ) )
| ~ ( member_a @ SV128 @ carrier ) ) )
= $false )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(861,plain,
! [SV22: set_a] :
( ( ( ~ ! [SY218: a,SY219: a] :
( ~ ( member_a @ SY218 @ SV22 )
| ~ ( member_a @ SY219 @ SV22 )
| ( SY218 = SY219 ) ) )
= $true )
| ( ( is_singleton_a @ SV22 )
= $true )
| ( ( SV22 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(862,plain,
! [SV159: a,SV129: a,SV82: set_Product_prod_a_a,SV23: set_a] :
( ( ( ~ ( prefer719835986ence_a @ SV23 @ SV82 ) )
= $true )
| ( ( ~ ( member_a @ SV129 @ SV23 )
| ~ ( member_a @ SV159 @ SV23 )
| ~ ( ( SV129 != SV159 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV129 @ SV159 ) @ SV82 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV159 @ SV129 ) @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(863,plain,
! [SV24: a,SV83: a] :
( ( ( ~ ( member_a @ SV83 @ carrier ) )
= $true )
| ( ( ~ ( ( SV24 != SV83 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV24 @ SV83 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV83 @ SV24 ) @ relation ) )
= $true )
| ( ( member_a @ SV24 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(864,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ~ ~ ( member_a @ SV25 @ SV84 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV130 @ SV160 )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(865,plain,
! [SV85: set_Product_prod_a_a,SV26: a] :
( ( ( ! [SY332: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY332 @ SV26 ) @ SV85 ) )
= $false )
| ( ( member_a @ SV26 @ ( range_a_a @ SV85 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(866,plain,
! [SV131: a,SV86: set_Product_prod_a_a,SV27: set_a] :
( ( ( refl_on_a @ SV27 @ SV86 )
= $false )
| ( ( ~ ( member_a @ SV131 @ SV27 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV131 @ SV131 ) @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(867,plain,
! [SV87: set_Product_prod_a_a,SV28: a] :
( ( ( ! [SY334: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY334 @ SV28 ) @ SV87 ) )
= $false )
| ( ( member_a @ SV28 @ ( range_a_a @ SV87 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(868,plain,
! [SV132: a,SV88: set_a,SV29: a] :
( ( ( member_a @ SV29 @ SV88 )
= $false )
| ( ( member_a @ SV29 @ ( insert_a @ SV132 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(869,plain,
! [SV30: set_a,SV89: set_Product_prod_a_a] :
( ( ( ! [SY409: a] :
( ~ ( member_a @ ( sK4_SY336 @ SV89 @ SV30 ) @ SV30 )
| ~ ( member_a @ SY409 @ SV30 )
| ~ ( ( ( sK4_SY336 @ SV89 @ SV30 )
!= SY409 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK4_SY336 @ SV89 @ SV30 ) @ SY409 ) @ SV89 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY409 @ ( sK4_SY336 @ SV89 @ SV30 ) ) @ SV89 ) ) )
= $false )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[805]) ).
thf(870,plain,
! [SV133: a > $o,SV90: set_Product_prod_a_a,SV31: a] :
( ( ( member_a @ SV31 @ ( range_a_a @ SV90 ) )
= $false )
| ( ( ~ ! [SY389: a,SY390: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY389 @ SY390 ) @ SV90 )
| ( SV133 @ SY390 ) )
| ( SV133 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(871,plain,
! [SV161: a,SV134: a,SV91: set_Product_prod_a_a,SV32: set_a] :
( ( ( ~ ( prefer1292084992ence_a @ SV32 @ SV91 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV134 @ SV161 ) @ SV91 )
| ( member_a @ SV134 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(872,plain,
! [SV162: set_a,SV92: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV92 @ SV162 )
| ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 )
| ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[808]) ).
thf(873,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= ( ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[808]) ).
thf(874,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(875,plain,
! [SV163: set_a,SV94: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV94 @ SV163 )
| ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 )
| ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[810]) ).
thf(876,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= ( ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[810]) ).
thf(877,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
| ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
| ~ ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(878,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ~ ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[812]) ).
thf(879,plain,
! [SV38: set_a] :
( ( ( member_a @ ( sK2_SY257 @ SV38 ) @ SV38 )
= $true )
| ( ( ord_less_eq_set_a @ SV38 @ bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(880,plain,
! [SV138: a,SV97: set_a,SV39: set_a] :
( ( ( ord_less_eq_set_a @ SV39 @ SV97 )
= $false )
| ( ( ~ ( member_a @ SV138 @ SV39 )
| ( member_a @ SV138 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(881,plain,
! [SV98: set_a,SV40: a] :
( ( ( member_a @ SV40 @ SV98 )
= $true )
| ( ( member_a @ SV40 @ ( uminus_uminus_set_a @ SV98 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(882,plain,
! [SV172: a,SV164: a,SV139: a,SV100: set_Product_prod_a_a,SV42: set_a] :
( ( ~ ( prefer719835986ence_a @ SV42 @ SV100 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SV139 @ SV42 )
| ~ ( member_a @ SV164 @ SV42 ) )
| ~ ( member_a @ SV172 @ SV42 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(883,plain,
! [SV165: a,SV140: a,SV101: set_Product_prod_a_a,SV43: set_a] :
( ( ( ~ ( prefer719835986ence_a @ SV43 @ SV101 ) )
= $true )
| ( ( ~ ~ ( ~ ( member_a @ SV140 @ SV43 )
| ~ ( member_a @ SV165 @ SV43 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(884,plain,
! [SV44: a,SV102: set_a] :
( ( ( ! [SY357: set_a] :
( ( SV102
!= ( insert_a @ SV44 @ SY357 ) )
| ( member_a @ SV44 @ SY357 ) ) )
= $false )
| ( ( member_a @ SV44 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(885,plain,
! [SV45: a] :
( ( ( ~ ( member_a @ SV45 @ carrier ) )
= $true )
| ( ( ( prefer1676310729than_a @ SV45 @ carrier @ relation )
!= bot_bot_set_a )
= $true )
| ( ( carrier = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(886,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ( member_a @ SV46 @ carrier )
| ~ ( member_a @ SV103 @ carrier ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(887,plain,
! [SV166: set_Product_prod_a_a,SV141: set_a,SV104: a,SV47: a] :
( ( ( ~ ( member_a @ SV47 @ ( prefer161218362good_a @ SV104 @ SV141 @ SV166 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV47 @ SV104 ) @ SV166 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[823]) ).
thf(888,plain,
! [SV142: set_Product_prod_a_a,SV105: a,SV48: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV48 @ SV105 ) @ SV142 )
= $false )
| ( ( member_a @ SV105 @ ( range_a_a @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(889,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( ~ ( member_a @ SV49 @ SV106 ) )
= $false )
| ( ( ~ ~ ( member_a @ SV49 @ SV143 )
| ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= ( SV106 = SV143 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(890,plain,
! [SV50: product_prod_a_a,SV107: set_a] :
( ( ( ! [SY362: a] :
( ~ ( member_a @ SY362 @ SV107 )
| ( SV50
!= ( product_Pair_a_a @ SY362 @ SY362 ) ) ) )
= $false )
| ( ( member449909584od_a_a @ SV50 @ ( id_on_a @ SV107 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(891,plain,
! [SV167: a,SV144: a,SV108: set_Product_prod_a_a,SV51: set_a] :
( ( ( ~ ( refl_on_a @ SV51 @ SV108 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV144 @ SV167 ) @ SV108 )
| ( member_a @ SV144 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(892,plain,
! [SV145: a,SV109: set_a,SV52: a] :
( ( ( ~ ~ ( member_a @ SV52 @ SV109 )
| ( SV52 = SV145 ) )
= $false )
| ( ( member_a @ SV52 @ ( insert_a @ SV145 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(893,plain,
! [SV146: a,SV110: set_a,SV53: set_a] :
( ( ( ord_less_eq_set_a @ SV53 @ SV110 )
= $false )
| ( ( ~ ( member_a @ SV146 @ SV53 )
| ( member_a @ SV146 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(894,plain,
! [SV54: set_a] :
( ( ( ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ~ ( ( SV54 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[830]) ).
thf(895,plain,
! [SV54: set_a] :
( ( ( SV54 != bot_bot_set_a )
= $false )
| ( ( ~ ( ~ ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ~ ( ( SV54 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[830]) ).
thf(896,plain,
! [SV147: set_a,SV111: set_a,SV55: a] :
( ( ( ~ ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(897,plain,
! [SV148: a,SV112: a,SV56: a] :
( ( ( ~ ( ~ ~ ( ~ ( member_a @ SV56 @ carrier )
| ~ ( member_a @ SV112 @ carrier ) )
| ~ ( member_a @ SV148 @ carrier ) ) )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(898,plain,
! [SV149: set_a,SV113: set_a,SV57: a] :
( ( ( ~ ( member_a @ SV57 @ SV113 ) )
= $false )
| ( ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
= ( ord_less_eq_set_a @ SV113 @ SV149 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(899,plain,
! [SV58: a,SV114: set_a] :
( ( ( ! [SY370: set_a] :
~ ~ ( ( SV114
!= ( insert_a @ SV58 @ SY370 ) )
| ~ ~ ( member_a @ SV58 @ SY370 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(900,plain,
! [SV150: set_a,SV115: a,SV59: a] :
( ( ( SV59 = SV115 )
= $false )
| ( ( ~ ( member_a @ SV59 @ SV150 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV59 @ SV115 ) @ ( id_on_a @ SV150 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(901,plain,
! [SV168: a,SV151: a,SV116: set_Product_prod_a_a,SV60: set_a] :
( ( ( ~ ( refl_on_a @ SV60 @ SV116 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV151 @ SV168 ) @ SV116 )
| ( member_a @ SV168 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(902,plain,
! [SV169: set_Product_prod_a_a,SV152: set_a,SV119: a,SV63: a] :
( ( ( ~ ( member_a @ SV63 @ ( prefer161218362good_a @ SV119 @ SV152 @ SV169 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV63 @ SV119 ) @ SV169 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(903,plain,
! [SV153: set_a,SV120: a,SV64: a] :
( ( ( member_a @ SV64 @ ( insert_a @ SV120 @ SV153 ) )
= $false )
| ( ( ~ ( ( SV64 != SV120 ) )
| ( member_a @ SV64 @ SV153 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(904,plain,
! [SV121: set_Product_prod_a_a,SV65: set_a,SV173: a] :
( ( ( ~ ( member_a @ SV173 @ SV65 )
| ! [SY410: a] :
( ~ ( member_a @ SY410 @ SV65 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV173 @ SY410 ) @ SV121 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY410 @ SV173 ) @ SV121 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV65 @ SV121 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(905,plain,
! [SV154: set_a,SV122: set_a,SV66: a] :
( ( ( member_a @ SV66 @ SV122 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV154 @ SV122 )
| ( ord_less_eq_set_a @ ( insert_a @ SV66 @ SV154 ) @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(906,plain,
! [SV170: a,SV155: a,SV123: set_Product_prod_a_a,SV67: set_a] :
( ( ( ~ ( refl_on_a @ SV67 @ SV123 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV155 @ SV170 ) @ SV123 )
| ~ ( ~ ( member_a @ SV155 @ SV67 )
| ~ ( member_a @ SV170 @ SV67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[844]) ).
thf(907,plain,
! [SV68: a > $o,SV1: a] :
( ( ( member_a @ SV1 @ ( collect_a @ SV68 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV1 @ ( collect_a @ SV68 ) )
| ~ ( SV68 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[845]) ).
thf(908,plain,
! [SV1: a,SV68: a > $o] :
( ( ( SV68 @ SV1 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV1 @ ( collect_a @ SV68 ) )
| ~ ( SV68 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[845]) ).
thf(909,plain,
! [SV5: set_a] :
( ( ( ~ ( member_a @ ( sK5_SY195 @ SV5 ) @ SV5 ) )
= $false )
| ( ( ~ ( ~ ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 )
| ( SV5 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[846]) ).
thf(910,plain,
! [SV5: set_a] :
( ( ( ~ ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 )
| ( SV5 != bot_bot_set_a ) )
= $false )
| ( ( SV5 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(911,plain,
! [SV70: a] :
( ( ( bot_bot_a_o @ SV70 )
= $false )
| ( ( ~ ( ~ ( bot_bot_a_o @ SV70 )
| ~ ( member_a @ SV70 @ bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[848]) ).
thf(912,plain,
! [SV70: a] :
( ( ( member_a @ SV70 @ bot_bot_set_a )
= $false )
| ( ( ~ ( ~ ( bot_bot_a_o @ SV70 )
| ~ ( member_a @ SV70 @ bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[848]) ).
thf(913,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
| ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
| ~ ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(914,plain,
! [SV72: a,SV10: a] :
( ( ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
| ( SV10 != SV72 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[850]) ).
thf(915,plain,
! [SV72: a,SV10: a] :
( ( ( SV10 = SV72 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
| ( SV10 != SV72 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[850]) ).
thf(916,plain,
! [SV74: set_a,SV12: a] :
( ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
| ~ ~ ( member_a @ SV12 @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[851]) ).
thf(917,plain,
! [SV74: set_a,SV12: a] :
( ( ( ~ ( member_a @ SV12 @ SV74 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
| ~ ~ ( member_a @ SV12 @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[851]) ).
thf(918,plain,
! [SV171: a,SV156: a,SV125: a,SV75: set_Product_prod_a_a,SV13: set_a] :
( ( ( ~ ( prefer719835986ence_a @ SV13 @ SV75 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV125 @ SV13 )
| ~ ( member_a @ SV156 @ SV13 ) )
| ~ ( member_a @ SV171 @ SV13 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[852]) ).
thf(919,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ( ( total_on_a @ SV76 @ SV157 )
| ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(920,plain,
! [SV15: a,SV158: a] :
( ( ( member_a @ SV158 @ carrier )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV15 @ SV158 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV158 @ SV15 ) @ relation ) )
= $true )
| ( ( member_a @ SV15 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(921,plain,
! [SV19: set_a,SV79: set_a] :
( ( ( ~ ( member_a @ ( sK3_SY324 @ SV79 @ SV19 ) @ SV19 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV19 @ SV79 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(922,plain,
! [SV19: set_a,SV79: set_a] :
( ( ( member_a @ ( sK3_SY324 @ SV79 @ SV19 ) @ SV79 )
= $false )
| ( ( ord_less_eq_set_a @ SV19 @ SV79 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(923,plain,
! [SV80: set_Product_prod_a_a,SV127: a,SV20: set_a] :
( ( ( ~ ( ( SV20 != bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( member_a @ SV127 @ SV20 )
| ( ( prefer1676310729than_a @ SV127 @ SV20 @ SV80 )
!= bot_bot_set_a ) )
= $true )
| ( ( prefer719835986ence_a @ SV20 @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[859]) ).
thf(924,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV21 @ carrier )
| ~ ( member_a @ SV81 @ carrier ) )
| ~ ( member_a @ SV128 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(925,plain,
! [SV22: set_a] :
( ( ( ! [SY218: a,SY219: a] :
( ~ ( member_a @ SY218 @ SV22 )
| ~ ( member_a @ SY219 @ SV22 )
| ( SY218 = SY219 ) ) )
= $false )
| ( ( is_singleton_a @ SV22 )
= $true )
| ( ( SV22 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(926,plain,
! [SV159: a,SV129: a,SV82: set_Product_prod_a_a,SV23: set_a] :
( ( ( prefer719835986ence_a @ SV23 @ SV82 )
= $false )
| ( ( ~ ( member_a @ SV129 @ SV23 )
| ~ ( member_a @ SV159 @ SV23 )
| ~ ( ( SV129 != SV159 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV129 @ SV159 ) @ SV82 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV159 @ SV129 ) @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(927,plain,
! [SV24: a,SV83: a] :
( ( ( member_a @ SV83 @ carrier )
= $false )
| ( ( ~ ( ( SV24 != SV83 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV24 @ SV83 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV83 @ SV24 ) @ relation ) )
= $true )
| ( ( member_a @ SV24 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(928,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ~ ( member_a @ SV25 @ SV84 ) )
= $false )
| ( ( ~ ~ ( member_a @ SV130 @ SV160 )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(929,plain,
! [SV26: a,SV85: set_Product_prod_a_a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK6_SY332 @ SV85 @ SV26 ) @ SV26 ) @ SV85 ) )
= $false )
| ( ( member_a @ SV26 @ ( range_a_a @ SV85 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[865]) ).
thf(930,plain,
! [SV86: set_Product_prod_a_a,SV27: set_a,SV131: a] :
( ( ( ~ ( member_a @ SV131 @ SV27 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV131 @ SV131 ) @ SV86 )
= $true )
| ( ( refl_on_a @ SV27 @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(931,plain,
! [SV28: a,SV87: set_Product_prod_a_a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK7_SY334 @ SV87 @ SV28 ) @ SV28 ) @ SV87 ) )
= $false )
| ( ( member_a @ SV28 @ ( range_a_a @ SV87 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[867]) ).
thf(932,plain,
! [SV30: set_a,SV89: set_Product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK4_SY336 @ SV89 @ SV30 ) @ SV30 )
| ~ ( member_a @ ( sK8_SY409 @ SV30 @ SV89 ) @ SV30 )
| ~ ( ( ( sK4_SY336 @ SV89 @ SV30 )
!= ( sK8_SY409 @ SV30 @ SV89 ) ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK4_SY336 @ SV89 @ SV30 ) @ ( sK8_SY409 @ SV30 @ SV89 ) ) @ SV89 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK8_SY409 @ SV30 @ SV89 ) @ ( sK4_SY336 @ SV89 @ SV30 ) ) @ SV89 ) )
= $false )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[869]) ).
thf(933,plain,
! [SV31: a,SV133: a > $o,SV90: set_Product_prod_a_a] :
( ( ( ~ ! [SY389: a,SY390: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY389 @ SY390 ) @ SV90 )
| ( SV133 @ SY390 ) ) )
= $true )
| ( ( SV133 @ SV31 )
= $true )
| ( ( member_a @ SV31 @ ( range_a_a @ SV90 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(934,plain,
! [SV161: a,SV134: a,SV91: set_Product_prod_a_a,SV32: set_a] :
( ( ( prefer1292084992ence_a @ SV32 @ SV91 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV134 @ SV161 ) @ SV91 )
| ( member_a @ SV134 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(935,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV92 @ SV162 )
| ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 )
| ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(936,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(937,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(938,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV94 @ SV163 )
| ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 )
| ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[875]) ).
thf(939,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
| ~ ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(940,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
| ~ ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(941,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(942,plain,
! [SV97: set_a,SV39: set_a,SV138: a] :
( ( ( ~ ( member_a @ SV138 @ SV39 ) )
= $true )
| ( ( member_a @ SV138 @ SV97 )
= $true )
| ( ( ord_less_eq_set_a @ SV39 @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(943,plain,
! [SV172: a,SV164: a,SV139: a,SV100: set_Product_prod_a_a,SV42: set_a] :
( ( ( ~ ( prefer719835986ence_a @ SV42 @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV139 @ SV42 )
| ~ ( member_a @ SV164 @ SV42 ) )
| ~ ( member_a @ SV172 @ SV42 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(944,plain,
! [SV165: a,SV140: a,SV101: set_Product_prod_a_a,SV43: set_a] :
( ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false )
| ( ( ~ ~ ( ~ ( member_a @ SV140 @ SV43 )
| ~ ( member_a @ SV165 @ SV43 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(945,plain,
! [SV44: a,SV102: set_a] :
( ( ( ( SV102
!= ( insert_a @ SV44 @ ( sK9_SY357 @ SV44 @ SV102 ) ) )
| ( member_a @ SV44 @ ( sK9_SY357 @ SV44 @ SV102 ) ) )
= $false )
| ( ( member_a @ SV44 @ SV102 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[884]) ).
thf(946,plain,
! [SV45: a] :
( ( ( member_a @ SV45 @ carrier )
= $false )
| ( ( ( prefer1676310729than_a @ SV45 @ carrier @ relation )
!= bot_bot_set_a )
= $true )
| ( ( carrier = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(947,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ( member_a @ SV46 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV103 @ carrier ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(948,plain,
! [SV166: set_Product_prod_a_a,SV141: set_a,SV104: a,SV47: a] :
( ( ( member_a @ SV47 @ ( prefer161218362good_a @ SV104 @ SV141 @ SV166 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV47 @ SV104 ) @ SV166 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(949,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( member_a @ SV49 @ SV106 )
= $true )
| ( ( ~ ~ ( member_a @ SV49 @ SV143 )
| ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= ( SV106 = SV143 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[889]) ).
thf(950,plain,
! [SV107: set_a,SV50: product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK10_SY362 @ SV50 @ SV107 ) @ SV107 )
| ( SV50
!= ( product_Pair_a_a @ ( sK10_SY362 @ SV50 @ SV107 ) @ ( sK10_SY362 @ SV50 @ SV107 ) ) ) )
= $false )
| ( ( member449909584od_a_a @ SV50 @ ( id_on_a @ SV107 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[890]) ).
thf(951,plain,
! [SV167: a,SV144: a,SV108: set_Product_prod_a_a,SV51: set_a] :
( ( ( refl_on_a @ SV51 @ SV108 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV144 @ SV167 ) @ SV108 )
| ( member_a @ SV144 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(952,plain,
! [SV145: a,SV109: set_a,SV52: a] :
( ( ( ~ ~ ( member_a @ SV52 @ SV109 ) )
= $false )
| ( ( member_a @ SV52 @ ( insert_a @ SV145 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(953,plain,
! [SV109: set_a,SV145: a,SV52: a] :
( ( ( SV52 = SV145 )
= $false )
| ( ( member_a @ SV52 @ ( insert_a @ SV145 @ SV109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(954,plain,
! [SV110: set_a,SV53: set_a,SV146: a] :
( ( ( ~ ( member_a @ SV146 @ SV53 ) )
= $true )
| ( ( member_a @ SV146 @ SV110 )
= $true )
| ( ( ord_less_eq_set_a @ SV53 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(955,plain,
! [SV54: set_a] :
( ( ( ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ~ ( ( SV54 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[894]) ).
thf(956,plain,
! [SV54: set_a] :
( ( ( SV54 = bot_bot_set_a )
= $true )
| ( ( ~ ( ~ ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ~ ( ( SV54 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(957,plain,
! [SV147: set_a,SV111: set_a,SV55: a] :
( ( ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(958,plain,
! [SV148: a,SV112: a,SV56: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV56 @ carrier )
| ~ ( member_a @ SV112 @ carrier ) )
| ~ ( member_a @ SV148 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(959,plain,
! [SV149: set_a,SV113: set_a,SV57: a] :
( ( ( member_a @ SV57 @ SV113 )
= $true )
| ( ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
= ( ord_less_eq_set_a @ SV113 @ SV149 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[898]) ).
thf(960,plain,
! [SV58: a,SV114: set_a] :
( ( ( ~ ~ ( ( SV114
!= ( insert_a @ SV58 @ ( sK11_SY370 @ SV58 @ SV114 ) ) )
| ~ ~ ( member_a @ SV58 @ ( sK11_SY370 @ SV58 @ SV114 ) ) ) )
= $false )
| ( ( member_a @ SV58 @ SV114 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[899]) ).
thf(961,plain,
! [SV115: a,SV150: set_a,SV59: a] :
( ( ( ~ ( member_a @ SV59 @ SV150 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV59 @ SV115 ) @ ( id_on_a @ SV150 ) )
= $true )
| ( ( SV59 = SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(962,plain,
! [SV168: a,SV151: a,SV116: set_Product_prod_a_a,SV60: set_a] :
( ( ( refl_on_a @ SV60 @ SV116 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV151 @ SV168 ) @ SV116 )
| ( member_a @ SV168 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(963,plain,
! [SV169: set_Product_prod_a_a,SV152: set_a,SV119: a,SV63: a] :
( ( ( member_a @ SV63 @ ( prefer161218362good_a @ SV119 @ SV152 @ SV169 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV63 @ SV119 ) @ SV169 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(964,plain,
! [SV153: set_a,SV120: a,SV64: a] :
( ( ( ~ ( ( SV64 != SV120 ) ) )
= $true )
| ( ( member_a @ SV64 @ SV153 )
= $true )
| ( ( member_a @ SV64 @ ( insert_a @ SV120 @ SV153 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(965,plain,
! [SV121: set_Product_prod_a_a,SV65: set_a,SV173: a] :
( ( ( ~ ( member_a @ SV173 @ SV65 ) )
= $true )
| ( ( ! [SY410: a] :
( ~ ( member_a @ SY410 @ SV65 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV173 @ SY410 ) @ SV121 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY410 @ SV173 ) @ SV121 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV65 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[904]) ).
thf(966,plain,
! [SV66: a,SV122: set_a,SV154: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV154 @ SV122 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV66 @ SV154 ) @ SV122 )
= $true )
| ( ( member_a @ SV66 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[905]) ).
thf(967,plain,
! [SV170: a,SV155: a,SV123: set_Product_prod_a_a,SV67: set_a] :
( ( ( refl_on_a @ SV67 @ SV123 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV155 @ SV170 ) @ SV123 )
| ~ ( ~ ( member_a @ SV155 @ SV67 )
| ~ ( member_a @ SV170 @ SV67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(968,plain,
! [SV68: a > $o,SV1: a] :
( ( ( ~ ( member_a @ SV1 @ ( collect_a @ SV68 ) )
| ~ ( SV68 @ SV1 ) )
= $false )
| ( ( member_a @ SV1 @ ( collect_a @ SV68 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(969,plain,
! [SV68: a > $o,SV1: a] :
( ( ( ~ ( member_a @ SV1 @ ( collect_a @ SV68 ) )
| ~ ( SV68 @ SV1 ) )
= $false )
| ( ( SV68 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(970,plain,
! [SV5: set_a] :
( ( ( member_a @ ( sK5_SY195 @ SV5 ) @ SV5 )
= $true )
| ( ( ~ ( ~ ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 )
| ( SV5 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[909]) ).
thf(971,plain,
! [SV5: set_a] :
( ( ( ~ ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 ) )
= $false )
| ( ( SV5 = bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(972,plain,
! [SV5: set_a] :
( ( ( SV5 != bot_bot_set_a )
= $false )
| ( ( SV5 = bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(973,plain,
! [SV70: a] :
( ( ( ~ ( bot_bot_a_o @ SV70 )
| ~ ( member_a @ SV70 @ bot_bot_set_a ) )
= $false )
| ( ( bot_bot_a_o @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(974,plain,
! [SV70: a] :
( ( ( ~ ( bot_bot_a_o @ SV70 )
| ~ ( member_a @ SV70 @ bot_bot_set_a ) )
= $false )
| ( ( member_a @ SV70 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(975,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
| ~ ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(976,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
| ~ ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(977,plain,
! [SV72: a,SV10: a] :
( ( ( ~ ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
| ( SV10 != SV72 ) )
= $false )
| ( ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(978,plain,
! [SV72: a,SV10: a] :
( ( ( ~ ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
| ( SV10 != SV72 ) )
= $false )
| ( ( SV10 = SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(979,plain,
! [SV74: set_a,SV12: a] :
( ( ( ~ ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
| ~ ~ ( member_a @ SV12 @ SV74 ) )
= $false )
| ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(980,plain,
! [SV74: set_a,SV12: a] :
( ( ( member_a @ SV12 @ SV74 )
= $true )
| ( ( ~ ( ~ ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
| ~ ~ ( member_a @ SV12 @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[917]) ).
thf(981,plain,
! [SV171: a,SV156: a,SV125: a,SV75: set_Product_prod_a_a,SV13: set_a] :
( ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV125 @ SV13 )
| ~ ( member_a @ SV156 @ SV13 ) )
| ~ ( member_a @ SV171 @ SV13 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(982,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ( total_on_a @ SV76 @ SV157 )
| ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(983,plain,
! [SV158: a,SV15: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV15 @ SV158 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV158 @ SV15 ) @ relation )
= $true )
| ( ( member_a @ SV158 @ carrier )
= $false )
| ( ( member_a @ SV15 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[920]) ).
thf(984,plain,
! [SV19: set_a,SV79: set_a] :
( ( ( member_a @ ( sK3_SY324 @ SV79 @ SV19 ) @ SV19 )
= $true )
| ( ( ord_less_eq_set_a @ SV19 @ SV79 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[921]) ).
thf(985,plain,
! [SV80: set_Product_prod_a_a,SV127: a,SV20: set_a] :
( ( ( SV20 != bot_bot_set_a )
= $false )
| ( ( ~ ( member_a @ SV127 @ SV20 )
| ( ( prefer1676310729than_a @ SV127 @ SV20 @ SV80 )
!= bot_bot_set_a ) )
= $true )
| ( ( prefer719835986ence_a @ SV20 @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(986,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV21 @ carrier )
| ~ ( member_a @ SV81 @ carrier ) ) )
= $true )
| ( ( ~ ( member_a @ SV128 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[924]) ).
thf(987,plain,
! [SV22: set_a] :
( ( ( ! [SY411: a] :
( ~ ( member_a @ ( sK12_SY218 @ SV22 ) @ SV22 )
| ~ ( member_a @ SY411 @ SV22 )
| ( ( sK12_SY218 @ SV22 )
= SY411 ) ) )
= $false )
| ( ( is_singleton_a @ SV22 )
= $true )
| ( ( SV22 = bot_bot_set_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[925]) ).
thf(988,plain,
! [SV82: set_Product_prod_a_a,SV159: a,SV23: set_a,SV129: a] :
( ( ( ~ ( member_a @ SV129 @ SV23 ) )
= $true )
| ( ( ~ ( member_a @ SV159 @ SV23 )
| ~ ( ( SV129 != SV159 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV129 @ SV159 ) @ SV82 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV159 @ SV129 ) @ SV82 ) )
= $true )
| ( ( prefer719835986ence_a @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(989,plain,
! [SV83: a,SV24: a] :
( ( ( ~ ( ( SV24 != SV83 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV24 @ SV83 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV83 @ SV24 ) @ relation ) )
= $true )
| ( ( member_a @ SV83 @ carrier )
= $false )
| ( ( member_a @ SV24 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(990,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( member_a @ SV25 @ SV84 )
= $true )
| ( ( ~ ~ ( member_a @ SV130 @ SV160 )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[928]) ).
thf(991,plain,
! [SV26: a,SV85: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK6_SY332 @ SV85 @ SV26 ) @ SV26 ) @ SV85 )
= $true )
| ( ( member_a @ SV26 @ ( range_a_a @ SV85 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(992,plain,
! [SV86: set_Product_prod_a_a,SV27: set_a,SV131: a] :
( ( ( member_a @ SV131 @ SV27 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV131 @ SV131 ) @ SV86 )
= $true )
| ( ( refl_on_a @ SV27 @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(993,plain,
! [SV28: a,SV87: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK7_SY334 @ SV87 @ SV28 ) @ SV28 ) @ SV87 )
= $true )
| ( ( member_a @ SV28 @ ( range_a_a @ SV87 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[931]) ).
thf(994,plain,
! [SV30: set_a,SV89: set_Product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK4_SY336 @ SV89 @ SV30 ) @ SV30 ) )
= $false )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(995,plain,
! [SV89: set_Product_prod_a_a,SV30: set_a] :
( ( ( ~ ( member_a @ ( sK8_SY409 @ SV30 @ SV89 ) @ SV30 )
| ~ ( ( ( sK4_SY336 @ SV89 @ SV30 )
!= ( sK8_SY409 @ SV30 @ SV89 ) ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK4_SY336 @ SV89 @ SV30 ) @ ( sK8_SY409 @ SV30 @ SV89 ) ) @ SV89 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK8_SY409 @ SV30 @ SV89 ) @ ( sK4_SY336 @ SV89 @ SV30 ) ) @ SV89 ) )
= $false )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(996,plain,
! [SV31: a,SV133: a > $o,SV90: set_Product_prod_a_a] :
( ( ( ! [SY389: a,SY390: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY389 @ SY390 ) @ SV90 )
| ( SV133 @ SY390 ) ) )
= $false )
| ( ( SV133 @ SV31 )
= $true )
| ( ( member_a @ SV31 @ ( range_a_a @ SV90 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(997,plain,
! [SV32: set_a,SV91: set_Product_prod_a_a,SV161: a,SV134: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV134 @ SV161 ) @ SV91 ) )
= $true )
| ( ( member_a @ SV134 @ SV32 )
= $true )
| ( ( prefer1292084992ence_a @ SV32 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(998,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ( ord_less_eq_set_a @ SV92 @ SV162 )
| ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 )
| ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(999,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) )
= $false )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(1000,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[937]) ).
thf(1001,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ( ord_less_eq_set_a @ SV94 @ SV163 )
| ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 )
| ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(1002,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ~ ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
| ~ ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) )
= $false )
| ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(1003,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
| ~ ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[940]) ).
thf(1004,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(1005,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(1006,plain,
! [SV97: set_a,SV39: set_a,SV138: a] :
( ( ( member_a @ SV138 @ SV39 )
= $false )
| ( ( member_a @ SV138 @ SV97 )
= $true )
| ( ( ord_less_eq_set_a @ SV39 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1007,plain,
! [SV172: a,SV164: a,SV139: a,SV100: set_Product_prod_a_a,SV42: set_a] :
( ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV139 @ SV42 )
| ~ ( member_a @ SV164 @ SV42 ) )
| ~ ( member_a @ SV172 @ SV42 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1008,plain,
! [SV101: set_Product_prod_a_a,SV165: a,SV43: set_a,SV140: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV140 @ SV43 )
| ~ ( member_a @ SV165 @ SV43 ) ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[944]) ).
thf(1009,plain,
! [SV44: a,SV102: set_a] :
( ( ( SV102
!= ( insert_a @ SV44 @ ( sK9_SY357 @ SV44 @ SV102 ) ) )
= $false )
| ( ( member_a @ SV44 @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(1010,plain,
! [SV102: set_a,SV44: a] :
( ( ( member_a @ SV44 @ ( sK9_SY357 @ SV44 @ SV102 ) )
= $false )
| ( ( member_a @ SV44 @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(1011,plain,
! [SV45: a] :
( ( ( ( prefer1676310729than_a @ SV45 @ carrier @ relation )
= bot_bot_set_a )
= $false )
| ( ( member_a @ SV45 @ carrier )
= $false )
| ( ( carrier = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1012,plain,
! [SV103: a,SV46: a] :
( ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( ~ ( member_a @ SV103 @ carrier ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(1013,plain,
! [SV106: set_a,SV143: set_a,SV49: a] :
( ( ( ~ ~ ( member_a @ SV49 @ SV143 ) )
= $true )
| ( ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= ( SV106 = SV143 ) )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(1014,plain,
! [SV107: set_a,SV50: product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK10_SY362 @ SV50 @ SV107 ) @ SV107 ) )
= $false )
| ( ( member449909584od_a_a @ SV50 @ ( id_on_a @ SV107 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(1015,plain,
! [SV107: set_a,SV50: product_prod_a_a] :
( ( ( SV50
!= ( product_Pair_a_a @ ( sK10_SY362 @ SV50 @ SV107 ) @ ( sK10_SY362 @ SV50 @ SV107 ) ) )
= $false )
| ( ( member449909584od_a_a @ SV50 @ ( id_on_a @ SV107 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(1016,plain,
! [SV51: set_a,SV108: set_Product_prod_a_a,SV167: a,SV144: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV144 @ SV167 ) @ SV108 ) )
= $true )
| ( ( member_a @ SV144 @ SV51 )
= $true )
| ( ( refl_on_a @ SV51 @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(1017,plain,
! [SV145: a,SV109: set_a,SV52: a] :
( ( ( ~ ( member_a @ SV52 @ SV109 ) )
= $true )
| ( ( member_a @ SV52 @ ( insert_a @ SV145 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(1018,plain,
! [SV110: set_a,SV53: set_a,SV146: a] :
( ( ( member_a @ SV146 @ SV53 )
= $false )
| ( ( member_a @ SV146 @ SV110 )
= $true )
| ( ( ord_less_eq_set_a @ SV53 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[954]) ).
thf(1019,plain,
! [SV54: set_a,SV174: a] :
( ( ( ~ ( member_a @ SV174 @ SV54 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ~ ( ( SV54 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1020,plain,
! [SV54: set_a] :
( ( ( ~ ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ~ ( ( SV54 != bot_bot_set_a ) ) )
= $false )
| ( ( SV54 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1021,plain,
! [SV147: set_a,SV111: set_a,SV55: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[957]) ).
thf(1022,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[957]) ).
thf(1023,plain,
! [SV148: a,SV112: a,SV56: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV56 @ carrier )
| ~ ( member_a @ SV112 @ carrier ) ) )
= $true )
| ( ( ~ ( member_a @ SV148 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[958]) ).
thf(1024,plain,
! [SV149: set_a,SV57: a,SV113: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
| ( ord_less_eq_set_a @ SV113 @ SV149 ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
| ~ ( ord_less_eq_set_a @ SV113 @ SV149 ) ) )
= $true )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[959]) ).
thf(1025,plain,
! [SV149: set_a,SV57: a,SV113: set_a] :
( ( ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
= ( ord_less_eq_set_a @ SV113 @ SV149 ) )
= $true )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[959]) ).
thf(1026,plain,
! [SV58: a,SV114: set_a] :
( ( ( ~ ( ( SV114
!= ( insert_a @ SV58 @ ( sK11_SY370 @ SV58 @ SV114 ) ) )
| ~ ~ ( member_a @ SV58 @ ( sK11_SY370 @ SV58 @ SV114 ) ) ) )
= $true )
| ( ( member_a @ SV58 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[960]) ).
thf(1027,plain,
! [SV115: a,SV150: set_a,SV59: a] :
( ( ( member_a @ SV59 @ SV150 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV59 @ SV115 ) @ ( id_on_a @ SV150 ) )
= $true )
| ( ( SV59 = SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1028,plain,
! [SV60: set_a,SV116: set_Product_prod_a_a,SV168: a,SV151: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV151 @ SV168 ) @ SV116 ) )
= $true )
| ( ( member_a @ SV168 @ SV60 )
= $true )
| ( ( refl_on_a @ SV60 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[962]) ).
thf(1029,plain,
! [SV153: set_a,SV120: a,SV64: a] :
( ( ( SV64 != SV120 )
= $false )
| ( ( member_a @ SV64 @ SV153 )
= $true )
| ( ( member_a @ SV64 @ ( insert_a @ SV120 @ SV153 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(1030,plain,
! [SV121: set_Product_prod_a_a,SV65: set_a,SV173: a] :
( ( ( member_a @ SV173 @ SV65 )
= $false )
| ( ( ! [SY410: a] :
( ~ ( member_a @ SY410 @ SV65 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV173 @ SY410 ) @ SV121 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY410 @ SV173 ) @ SV121 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV65 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1031,plain,
! [SV66: a,SV122: set_a,SV154: set_a] :
( ( ( ord_less_eq_set_a @ SV154 @ SV122 )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV66 @ SV154 ) @ SV122 )
= $true )
| ( ( member_a @ SV66 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(1032,plain,
! [SV67: set_a,SV123: set_Product_prod_a_a,SV170: a,SV155: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV155 @ SV170 ) @ SV123 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV155 @ SV67 )
| ~ ( member_a @ SV170 @ SV67 ) ) )
= $true )
| ( ( refl_on_a @ SV67 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1033,plain,
! [SV68: a > $o,SV1: a] :
( ( ( ~ ( member_a @ SV1 @ ( collect_a @ SV68 ) ) )
= $false )
| ( ( member_a @ SV1 @ ( collect_a @ SV68 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1034,plain,
! [SV1: a,SV68: a > $o] :
( ( ( ~ ( SV68 @ SV1 ) )
= $false )
| ( ( member_a @ SV1 @ ( collect_a @ SV68 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1035,plain,
! [SV68: a > $o,SV1: a] :
( ( ( ~ ( member_a @ SV1 @ ( collect_a @ SV68 ) ) )
= $false )
| ( ( SV68 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1036,plain,
! [SV1: a,SV68: a > $o] :
( ( ( ~ ( SV68 @ SV1 ) )
= $false )
| ( ( SV68 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1037,plain,
! [SV5: set_a] :
( ( ( ~ ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 )
| ( SV5 != bot_bot_set_a ) )
= $false )
| ( ( member_a @ ( sK5_SY195 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(1038,plain,
! [SV5: set_a] :
( ( ( ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 ) )
= $true )
| ( ( SV5 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1039,plain,
! [SV5: set_a] :
( ( ( SV5 = bot_bot_set_a )
= $true )
| ( ( SV5 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[972]) ).
thf(1040,plain,
! [SV70: a] :
( ( ( ~ ( bot_bot_a_o @ SV70 ) )
= $false )
| ( ( bot_bot_a_o @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[973]) ).
thf(1041,plain,
! [SV70: a] :
( ( ( ~ ( member_a @ SV70 @ bot_bot_set_a ) )
= $false )
| ( ( bot_bot_a_o @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[973]) ).
thf(1042,plain,
! [SV70: a] :
( ( ( ~ ( bot_bot_a_o @ SV70 ) )
= $false )
| ( ( member_a @ SV70 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1043,plain,
! [SV70: a] :
( ( ( ~ ( member_a @ SV70 @ bot_bot_set_a ) )
= $false )
| ( ( member_a @ SV70 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1044,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ~ ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
| ~ ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) )
= $false )
| ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1045,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( SV8 = SV71 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
| ~ ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[976]) ).
thf(1046,plain,
! [SV71: a,SV124: set_a,SV8: a] :
( ( ( member_a @ SV8 @ SV124 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
| ~ ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[976]) ).
thf(1047,plain,
! [SV72: a,SV10: a] :
( ( ( ~ ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) ) )
= $false )
| ( ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[977]) ).
thf(1048,plain,
! [SV72: a,SV10: a] :
( ( ( SV10 != SV72 )
= $false )
| ( ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[977]) ).
thf(1049,plain,
! [SV72: a,SV10: a] :
( ( ( ~ ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) ) )
= $false )
| ( ( SV10 = SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[978]) ).
thf(1050,plain,
! [SV72: a,SV10: a] :
( ( ( SV10 != SV72 )
= $false )
| ( ( SV10 = SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[978]) ).
thf(1051,plain,
! [SV74: set_a,SV12: a] :
( ( ( ~ ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) ) )
= $false )
| ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[979]) ).
thf(1052,plain,
! [SV74: set_a,SV12: a] :
( ( ( ~ ~ ( member_a @ SV12 @ SV74 ) )
= $false )
| ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[979]) ).
thf(1053,plain,
! [SV74: set_a,SV12: a] :
( ( ( ~ ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
| ~ ~ ( member_a @ SV12 @ SV74 ) )
= $false )
| ( ( member_a @ SV12 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1054,plain,
! [SV75: set_Product_prod_a_a,SV171: a,SV156: a,SV13: set_a,SV125: a] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV125 @ SV13 )
| ~ ( member_a @ SV156 @ SV13 ) )
| ~ ( member_a @ SV171 @ SV13 ) ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1055,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( total_on_a @ SV76 @ SV157 )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1056,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1057,plain,
! [SV80: set_Product_prod_a_a,SV127: a,SV20: set_a] :
( ( ( SV20 = bot_bot_set_a )
= $true )
| ( ( ~ ( member_a @ SV127 @ SV20 )
| ( ( prefer1676310729than_a @ SV127 @ SV20 @ SV80 )
!= bot_bot_set_a ) )
= $true )
| ( ( prefer719835986ence_a @ SV20 @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1058,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ( ~ ( ~ ( member_a @ SV21 @ carrier )
| ~ ( member_a @ SV81 @ carrier ) ) )
= $false )
| ( ( ~ ( member_a @ SV128 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1059,plain,
! [SV22: set_a] :
( ( ( ~ ( member_a @ ( sK12_SY218 @ SV22 ) @ SV22 )
| ~ ( member_a @ ( sK13_SY411 @ SV22 ) @ SV22 )
| ( ( sK12_SY218 @ SV22 )
= ( sK13_SY411 @ SV22 ) ) )
= $false )
| ( ( is_singleton_a @ SV22 )
= $true )
| ( ( SV22 = bot_bot_set_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[987]) ).
thf(1060,plain,
! [SV82: set_Product_prod_a_a,SV159: a,SV23: set_a,SV129: a] :
( ( ( member_a @ SV129 @ SV23 )
= $false )
| ( ( ~ ( member_a @ SV159 @ SV23 )
| ~ ( ( SV129 != SV159 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV129 @ SV159 ) @ SV82 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV159 @ SV129 ) @ SV82 ) )
= $true )
| ( ( prefer719835986ence_a @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1061,plain,
! [SV83: a,SV24: a] :
( ( ( SV24 != SV83 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV24 @ SV83 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV83 @ SV24 ) @ relation ) )
= $true )
| ( ( member_a @ SV83 @ carrier )
= $false )
| ( ( member_a @ SV24 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1062,plain,
! [SV84: set_a,SV25: a,SV160: set_a,SV130: a] :
( ( ( ~ ~ ( member_a @ SV130 @ SV160 ) )
= $true )
| ( ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[990]) ).
thf(1063,plain,
! [SV30: set_a,SV89: set_Product_prod_a_a] :
( ( ( member_a @ ( sK4_SY336 @ SV89 @ SV30 ) @ SV30 )
= $true )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[994]) ).
thf(1064,plain,
! [SV89: set_Product_prod_a_a,SV30: set_a] :
( ( ( ~ ( member_a @ ( sK8_SY409 @ SV30 @ SV89 ) @ SV30 ) )
= $false )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1065,plain,
! [SV30: set_a,SV89: set_Product_prod_a_a] :
( ( ( ~ ( ( ( sK4_SY336 @ SV89 @ SV30 )
!= ( sK8_SY409 @ SV30 @ SV89 ) ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK4_SY336 @ SV89 @ SV30 ) @ ( sK8_SY409 @ SV30 @ SV89 ) ) @ SV89 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK8_SY409 @ SV30 @ SV89 ) @ ( sK4_SY336 @ SV89 @ SV30 ) ) @ SV89 ) )
= $false )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1066,plain,
! [SV90: set_Product_prod_a_a,SV133: a > $o,SV31: a] :
( ( ( ! [SY412: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK14_SY389 @ SV31 @ SV133 @ SV90 ) @ SY412 ) @ SV90 )
| ( SV133 @ SY412 ) ) )
= $false )
| ( ( SV133 @ SV31 )
= $true )
| ( ( member_a @ SV31 @ ( range_a_a @ SV90 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[996]) ).
thf(1067,plain,
! [SV32: set_a,SV91: set_Product_prod_a_a,SV161: a,SV134: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV134 @ SV161 ) @ SV91 )
= $false )
| ( ( member_a @ SV134 @ SV32 )
= $true )
| ( ( prefer1292084992ence_a @ SV32 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1068,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 )
| ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1069,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 )
| ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1070,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) ) )
= $false )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1071,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) )
= $false )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1072,plain,
! [SV93: set_Product_prod_a_a,SV175: a,SV34: a] :
( ( ( ~ ~ ! [SY413: a] :
~ ~ ( ( SV34 != SY413 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SY413 ) @ SV93 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1000]) ).
thf(1073,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 )
| ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1074,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 )
| ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1075,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ~ ( member_a @ SV36 @ ( range_a_a @ SV95 ) ) )
= $false )
| ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1002]) ).
thf(1076,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ~ ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) )
= $false )
| ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1002]) ).
thf(1077,plain,
! [SV95: set_Product_prod_a_a,SV36: a,SV176: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV176 @ SV36 ) @ SV95 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
| ~ ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1078,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1079,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1005]) ).
thf(1080,plain,
! [SV100: set_Product_prod_a_a,SV172: a,SV164: a,SV42: set_a,SV139: a] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV139 @ SV42 )
| ~ ( member_a @ SV164 @ SV42 ) )
| ~ ( member_a @ SV172 @ SV42 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1081,plain,
! [SV101: set_Product_prod_a_a,SV165: a,SV43: set_a,SV140: a] :
( ( ( ~ ( ~ ( member_a @ SV140 @ SV43 )
| ~ ( member_a @ SV165 @ SV43 ) ) )
= $false )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1082,plain,
! [SV44: a,SV102: set_a] :
( ( ( SV102
= ( insert_a @ SV44 @ ( sK9_SY357 @ SV44 @ SV102 ) ) )
= $true )
| ( ( member_a @ SV44 @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1083,plain,
! [SV46: a,SV103: a] :
( ( ( member_a @ SV103 @ carrier )
= $false )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1084,plain,
! [SV106: set_a,SV143: set_a,SV49: a] :
( ( ( ~ ( member_a @ SV49 @ SV143 ) )
= $false )
| ( ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= ( SV106 = SV143 ) )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1085,plain,
! [SV107: set_a,SV50: product_prod_a_a] :
( ( ( member_a @ ( sK10_SY362 @ SV50 @ SV107 ) @ SV107 )
= $true )
| ( ( member449909584od_a_a @ SV50 @ ( id_on_a @ SV107 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1086,plain,
! [SV107: set_a,SV50: product_prod_a_a] :
( ( ( SV50
= ( product_Pair_a_a @ ( sK10_SY362 @ SV50 @ SV107 ) @ ( sK10_SY362 @ SV50 @ SV107 ) ) )
= $true )
| ( ( member449909584od_a_a @ SV50 @ ( id_on_a @ SV107 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1015]) ).
thf(1087,plain,
! [SV51: set_a,SV108: set_Product_prod_a_a,SV167: a,SV144: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV144 @ SV167 ) @ SV108 )
= $false )
| ( ( member_a @ SV144 @ SV51 )
= $true )
| ( ( refl_on_a @ SV51 @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1088,plain,
! [SV145: a,SV109: set_a,SV52: a] :
( ( ( member_a @ SV52 @ SV109 )
= $false )
| ( ( member_a @ SV52 @ ( insert_a @ SV145 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1089,plain,
! [SV54: set_a,SV174: a] :
( ( ( member_a @ SV174 @ SV54 )
= $false )
| ( ( ~ ( ~ ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ~ ( ( SV54 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1090,plain,
! [SV54: set_a] :
( ( ( ~ ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 ) )
= $false )
| ( ( SV54 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1020]) ).
thf(1091,plain,
! [SV54: set_a] :
( ( ( ~ ( ( SV54 != bot_bot_set_a ) ) )
= $false )
| ( ( SV54 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1020]) ).
thf(1092,plain,
! [SV147: set_a,SV111: set_a,SV55: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1093,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1022]) ).
thf(1094,plain,
! [SV148: a,SV112: a,SV56: a] :
( ( ( ~ ( ~ ( member_a @ SV56 @ carrier )
| ~ ( member_a @ SV112 @ carrier ) ) )
= $false )
| ( ( ~ ( member_a @ SV148 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1095,plain,
! [SV149: set_a,SV57: a,SV113: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
| ( ord_less_eq_set_a @ SV113 @ SV149 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
| ~ ( ord_less_eq_set_a @ SV113 @ SV149 ) ) )
= $true )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1096,plain,
! [SV58: a,SV114: set_a] :
( ( ( ( SV114
!= ( insert_a @ SV58 @ ( sK11_SY370 @ SV58 @ SV114 ) ) )
| ~ ~ ( member_a @ SV58 @ ( sK11_SY370 @ SV58 @ SV114 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1097,plain,
! [SV60: set_a,SV116: set_Product_prod_a_a,SV168: a,SV151: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV151 @ SV168 ) @ SV116 )
= $false )
| ( ( member_a @ SV168 @ SV60 )
= $true )
| ( ( refl_on_a @ SV60 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1098,plain,
! [SV153: set_a,SV120: a,SV64: a] :
( ( ( SV64 = SV120 )
= $true )
| ( ( member_a @ SV64 @ SV153 )
= $true )
| ( ( member_a @ SV64 @ ( insert_a @ SV120 @ SV153 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1029]) ).
thf(1099,plain,
! [SV121: set_Product_prod_a_a,SV173: a,SV65: set_a,SV177: a] :
( ( ( ~ ( member_a @ SV177 @ SV65 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV173 @ SV177 ) @ SV121 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV177 @ SV173 ) @ SV121 ) )
= $true )
| ( ( member_a @ SV173 @ SV65 )
= $false )
| ( ( prefer719835986ence_a @ SV65 @ SV121 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1030]) ).
thf(1100,plain,
! [SV67: set_a,SV123: set_Product_prod_a_a,SV170: a,SV155: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV155 @ SV170 ) @ SV123 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV155 @ SV67 )
| ~ ( member_a @ SV170 @ SV67 ) ) )
= $true )
| ( ( refl_on_a @ SV67 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1101,plain,
! [SV68: a > $o,SV1: a] :
( ( ( member_a @ SV1 @ ( collect_a @ SV68 ) )
= $true )
| ( ( member_a @ SV1 @ ( collect_a @ SV68 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1033]) ).
thf(1102,plain,
! [SV1: a,SV68: a > $o] :
( ( ( SV68 @ SV1 )
= $true )
| ( ( member_a @ SV1 @ ( collect_a @ SV68 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1034]) ).
thf(1103,plain,
! [SV68: a > $o,SV1: a] :
( ( ( member_a @ SV1 @ ( collect_a @ SV68 ) )
= $true )
| ( ( SV68 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1104,plain,
! [SV1: a,SV68: a > $o] :
( ( ( SV68 @ SV1 )
= $true )
| ( ( SV68 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1105,plain,
! [SV5: set_a] :
( ( ( ~ ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 ) )
= $false )
| ( ( member_a @ ( sK5_SY195 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1106,plain,
! [SV5: set_a] :
( ( ( SV5 != bot_bot_set_a )
= $false )
| ( ( member_a @ ( sK5_SY195 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1107,plain,
! [SV5: set_a,SV178: a] :
( ( ( ~ ( member_a @ SV178 @ SV5 ) )
= $true )
| ( ( SV5 = bot_bot_set_a )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1108,plain,
! [SV70: a] :
( ( ( bot_bot_a_o @ SV70 )
= $true )
| ( ( bot_bot_a_o @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1040]) ).
thf(1109,plain,
! [SV70: a] :
( ( ( member_a @ SV70 @ bot_bot_set_a )
= $true )
| ( ( bot_bot_a_o @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1041]) ).
thf(1110,plain,
! [SV70: a] :
( ( ( bot_bot_a_o @ SV70 )
= $true )
| ( ( member_a @ SV70 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1042]) ).
thf(1111,plain,
! [SV70: a] :
( ( ( member_a @ SV70 @ bot_bot_set_a )
= $true )
| ( ( member_a @ SV70 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1043]) ).
thf(1112,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ~ ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) ) )
= $false )
| ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1113,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ~ ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) )
= $false )
| ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1114,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ~ ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
| ~ ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1115,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ~ ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
| ~ ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) )
= $false )
| ( ( member_a @ SV8 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1116,plain,
! [SV72: a,SV10: a] :
( ( ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
= $true )
| ( ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1117,plain,
! [SV72: a,SV10: a] :
( ( ( SV10 = SV72 )
= $true )
| ( ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1048]) ).
thf(1118,plain,
! [SV72: a,SV10: a] :
( ( ( member_a @ SV10 @ ( insert_a @ SV72 @ bot_bot_set_a ) )
= $true )
| ( ( SV10 = SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1119,plain,
! [SV72: a,SV10: a] :
( ( ( SV10 = SV72 )
= $true )
| ( ( SV10 = SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1050]) ).
thf(1120,plain,
! [SV74: set_a,SV12: a] :
( ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
= $true )
| ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1051]) ).
thf(1121,plain,
! [SV74: set_a,SV12: a] :
( ( ( ~ ( member_a @ SV12 @ SV74 ) )
= $true )
| ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1122,plain,
! [SV74: set_a,SV12: a] :
( ( ( ~ ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) ) )
= $false )
| ( ( member_a @ SV12 @ SV74 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1053]) ).
thf(1123,plain,
! [SV74: set_a,SV12: a] :
( ( ( ~ ~ ( member_a @ SV12 @ SV74 ) )
= $false )
| ( ( member_a @ SV12 @ SV74 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1053]) ).
thf(1124,plain,
! [SV75: set_Product_prod_a_a,SV171: a,SV156: a,SV13: set_a,SV125: a] :
( ( ( ~ ( ~ ~ ( ~ ( member_a @ SV125 @ SV13 )
| ~ ( member_a @ SV156 @ SV13 ) )
| ~ ( member_a @ SV171 @ SV13 ) ) )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1125,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1126,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
| ! [SY414: a] :
( ~ ( member_a @ SY414 @ SV76 )
| ~ ( ( ( sK15_SY403 @ SV157 @ SV76 )
!= SY414 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SY414 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY414 @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1056]) ).
thf(1127,plain,
! [SV80: set_Product_prod_a_a,SV20: set_a,SV127: a] :
( ( ( ~ ( member_a @ SV127 @ SV20 ) )
= $true )
| ( ( ( prefer1676310729than_a @ SV127 @ SV20 @ SV80 )
!= bot_bot_set_a )
= $true )
| ( ( SV20 = bot_bot_set_a )
= $true )
| ( ( prefer719835986ence_a @ SV20 @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1057]) ).
thf(1128,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ( ~ ( member_a @ SV21 @ carrier )
| ~ ( member_a @ SV81 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV128 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1058]) ).
thf(1129,plain,
! [SV22: set_a] :
( ( ( ~ ( member_a @ ( sK12_SY218 @ SV22 ) @ SV22 ) )
= $false )
| ( ( is_singleton_a @ SV22 )
= $true )
| ( ( SV22 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1059]) ).
thf(1130,plain,
! [SV22: set_a] :
( ( ( ~ ( member_a @ ( sK13_SY411 @ SV22 ) @ SV22 )
| ( ( sK12_SY218 @ SV22 )
= ( sK13_SY411 @ SV22 ) ) )
= $false )
| ( ( is_singleton_a @ SV22 )
= $true )
| ( ( SV22 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1059]) ).
thf(1131,plain,
! [SV82: set_Product_prod_a_a,SV129: a,SV23: set_a,SV159: a] :
( ( ( ~ ( member_a @ SV159 @ SV23 ) )
= $true )
| ( ( ~ ( ( SV129 != SV159 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV129 @ SV159 ) @ SV82 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV159 @ SV129 ) @ SV82 ) )
= $true )
| ( ( member_a @ SV129 @ SV23 )
= $false )
| ( ( prefer719835986ence_a @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1060]) ).
thf(1132,plain,
! [SV83: a,SV24: a] :
( ( ( SV24 = SV83 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV24 @ SV83 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV83 @ SV24 ) @ relation ) )
= $true )
| ( ( member_a @ SV83 @ carrier )
= $false )
| ( ( member_a @ SV24 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1061]) ).
thf(1133,plain,
! [SV84: set_a,SV25: a,SV160: set_a,SV130: a] :
( ( ( ~ ( member_a @ SV130 @ SV160 ) )
= $false )
| ( ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1134,plain,
! [SV89: set_Product_prod_a_a,SV30: set_a] :
( ( ( member_a @ ( sK8_SY409 @ SV30 @ SV89 ) @ SV30 )
= $true )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1135,plain,
! [SV30: set_a,SV89: set_Product_prod_a_a] :
( ( ( ~ ( ( ( sK4_SY336 @ SV89 @ SV30 )
!= ( sK8_SY409 @ SV30 @ SV89 ) ) ) )
= $false )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1136,plain,
! [SV30: set_a,SV89: set_Product_prod_a_a] :
( ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK4_SY336 @ SV89 @ SV30 ) @ ( sK8_SY409 @ SV30 @ SV89 ) ) @ SV89 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK8_SY409 @ SV30 @ SV89 ) @ ( sK4_SY336 @ SV89 @ SV30 ) ) @ SV89 ) )
= $false )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1137,plain,
! [SV90: set_Product_prod_a_a,SV133: a > $o,SV31: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK14_SY389 @ SV31 @ SV133 @ SV90 ) @ ( sK16_SY412 @ SV90 @ SV133 @ SV31 ) ) @ SV90 )
| ( SV133 @ ( sK16_SY412 @ SV90 @ SV133 @ SV31 ) ) )
= $false )
| ( ( SV133 @ SV31 )
= $true )
| ( ( member_a @ SV31 @ ( range_a_a @ SV90 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1066]) ).
thf(1138,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 )
| ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1139,plain,
! [SV92: set_a,SV162: set_a] :
( ( ( ~ ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV92 )
| ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV162 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 )
| ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1069]) ).
thf(1140,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $true )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1070]) ).
thf(1141,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) )
= $true )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1142,plain,
! [SV93: set_Product_prod_a_a,SV175: a,SV34: a] :
( ( ( ~ ! [SY413: a] :
~ ~ ( ( SV34 != SY413 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SY413 ) @ SV93 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1143,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 )
| ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1144,plain,
! [SV94: set_a,SV163: set_a] :
( ( ( ~ ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV94 )
| ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV163 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 )
| ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1074]) ).
thf(1145,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
= $true )
| ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1146,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) )
= $true )
| ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1076]) ).
thf(1147,plain,
! [SV95: set_Product_prod_a_a,SV36: a,SV176: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV176 @ SV36 ) @ SV95 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
| ~ ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1148,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1149,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ~ ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1150,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( SV37 != SV96 )
= $true )
| ( ( ~ ( member_a @ SV37 @ SV137 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1079]) ).
thf(1151,plain,
! [SV100: set_Product_prod_a_a,SV172: a,SV164: a,SV42: set_a,SV139: a] :
( ( ( ~ ( ~ ~ ( ~ ( member_a @ SV139 @ SV42 )
| ~ ( member_a @ SV164 @ SV42 ) )
| ~ ( member_a @ SV172 @ SV42 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1152,plain,
! [SV101: set_Product_prod_a_a,SV165: a,SV43: set_a,SV140: a] :
( ( ( ~ ( member_a @ SV140 @ SV43 )
| ~ ( member_a @ SV165 @ SV43 ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1153,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) )
| ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1083]) ).
thf(1154,plain,
! [SV46: a,SV103: a] :
( ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1083]) ).
thf(1155,plain,
! [SV106: set_a,SV143: set_a,SV49: a] :
( ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= ( SV106 = SV143 ) )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1084]) ).
thf(1156,plain,
! [SV174: a,SV54: set_a] :
( ( ( ~ ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 )
| ~ ( ( SV54 != bot_bot_set_a ) ) )
= $false )
| ( ( member_a @ SV174 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1157,plain,
! [SV54: set_a] :
( ( ( ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 ) )
= $true )
| ( ( SV54 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1090]) ).
thf(1158,plain,
! [SV54: set_a] :
( ( ( SV54 != bot_bot_set_a )
= $true )
| ( ( SV54 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1091]) ).
thf(1159,plain,
! [SV147: set_a,SV111: set_a,SV55: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1160,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1161,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( ~ ( member_a @ SV55 @ SV147 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1093]) ).
thf(1162,plain,
! [SV148: a,SV112: a,SV56: a] :
( ( ( ~ ( member_a @ SV56 @ carrier )
| ~ ( member_a @ SV112 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV148 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1094]) ).
thf(1163,plain,
! [SV149: set_a,SV57: a,SV113: set_a] :
( ( ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
| ( ord_less_eq_set_a @ SV113 @ SV149 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
| ~ ( ord_less_eq_set_a @ SV113 @ SV149 ) ) )
= $true )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1164,plain,
! [SV58: a,SV114: set_a] :
( ( ( SV114
!= ( insert_a @ SV58 @ ( sK11_SY370 @ SV58 @ SV114 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1165,plain,
! [SV114: set_a,SV58: a] :
( ( ( ~ ~ ( member_a @ SV58 @ ( sK11_SY370 @ SV58 @ SV114 ) ) )
= $false )
| ( ( member_a @ SV58 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1166,plain,
! [SV121: set_Product_prod_a_a,SV173: a,SV65: set_a,SV177: a] :
( ( ( ~ ( member_a @ SV177 @ SV65 ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV173 @ SV177 ) @ SV121 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV177 @ SV173 ) @ SV121 ) )
= $true )
| ( ( member_a @ SV173 @ SV65 )
= $false )
| ( ( prefer719835986ence_a @ SV65 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1167,plain,
! [SV123: set_Product_prod_a_a,SV170: a,SV67: set_a,SV155: a] :
( ( ( ~ ( member_a @ SV155 @ SV67 )
| ~ ( member_a @ SV170 @ SV67 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV155 @ SV170 ) @ SV123 )
= $false )
| ( ( refl_on_a @ SV67 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1168,plain,
! [SV5: set_a] :
( ( ( ! [SY195: a] :
~ ( member_a @ SY195 @ SV5 ) )
= $true )
| ( ( member_a @ ( sK5_SY195 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1105]) ).
thf(1169,plain,
! [SV5: set_a] :
( ( ( SV5 = bot_bot_set_a )
= $true )
| ( ( member_a @ ( sK5_SY195 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1106]) ).
thf(1170,plain,
! [SV5: set_a,SV178: a] :
( ( ( member_a @ SV178 @ SV5 )
= $false )
| ( ( SV5 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1171,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
= $true )
| ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1112]) ).
thf(1172,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) )
= $true )
| ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1113]) ).
thf(1173,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ~ ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) ) )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1174,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ~ ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) )
= $false )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1175,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ~ ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) ) )
= $false )
| ( ( member_a @ SV8 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1176,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ~ ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) ) )
= $false )
| ( ( member_a @ SV8 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1177,plain,
! [SV74: set_a,SV12: a] :
( ( ( member_a @ SV12 @ SV74 )
= $false )
| ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1178,plain,
! [SV74: set_a,SV12: a] :
( ( ( member_a @ SV12 @ ( uminus_uminus_set_a @ SV74 ) )
= $true )
| ( ( member_a @ SV12 @ SV74 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1122]) ).
thf(1179,plain,
! [SV74: set_a,SV12: a] :
( ( ( ~ ( member_a @ SV12 @ SV74 ) )
= $true )
| ( ( member_a @ SV12 @ SV74 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1180,plain,
! [SV75: set_Product_prod_a_a,SV171: a,SV156: a,SV13: set_a,SV125: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV125 @ SV13 )
| ~ ( member_a @ SV156 @ SV13 ) )
| ~ ( member_a @ SV171 @ SV13 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1181,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ( total_on_a @ SV76 @ SV157 ) )
= $false )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1182,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1183,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1126]) ).
thf(1184,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ! [SY414: a] :
( ~ ( member_a @ SY414 @ SV76 )
| ~ ( ( ( sK15_SY403 @ SV157 @ SV76 )
!= SY414 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SY414 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY414 @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1126]) ).
thf(1185,plain,
! [SV80: set_Product_prod_a_a,SV20: set_a,SV127: a] :
( ( ( member_a @ SV127 @ SV20 )
= $false )
| ( ( ( prefer1676310729than_a @ SV127 @ SV20 @ SV80 )
!= bot_bot_set_a )
= $true )
| ( ( SV20 = bot_bot_set_a )
= $true )
| ( ( prefer719835986ence_a @ SV20 @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1186,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ( ~ ( member_a @ SV21 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV81 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV128 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1128]) ).
thf(1187,plain,
! [SV22: set_a] :
( ( ( member_a @ ( sK12_SY218 @ SV22 ) @ SV22 )
= $true )
| ( ( is_singleton_a @ SV22 )
= $true )
| ( ( SV22 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1129]) ).
thf(1188,plain,
! [SV22: set_a] :
( ( ( ~ ( member_a @ ( sK13_SY411 @ SV22 ) @ SV22 ) )
= $false )
| ( ( is_singleton_a @ SV22 )
= $true )
| ( ( SV22 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1189,plain,
! [SV22: set_a] :
( ( ( ( sK12_SY218 @ SV22 )
= ( sK13_SY411 @ SV22 ) )
= $false )
| ( ( is_singleton_a @ SV22 )
= $true )
| ( ( SV22 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1190,plain,
! [SV82: set_Product_prod_a_a,SV129: a,SV23: set_a,SV159: a] :
( ( ( member_a @ SV159 @ SV23 )
= $false )
| ( ( ~ ( ( SV129 != SV159 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV129 @ SV159 ) @ SV82 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV159 @ SV129 ) @ SV82 ) )
= $true )
| ( ( member_a @ SV129 @ SV23 )
= $false )
| ( ( prefer719835986ence_a @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1191,plain,
! [SV83: a,SV24: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV24 @ SV83 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV83 @ SV24 ) @ relation )
= $true )
| ( ( SV24 = SV83 )
= $true )
| ( ( member_a @ SV83 @ carrier )
= $false )
| ( ( member_a @ SV24 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1132]) ).
thf(1192,plain,
! [SV84: set_a,SV25: a,SV160: set_a,SV130: a] :
( ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1193,plain,
! [SV30: set_a,SV89: set_Product_prod_a_a] :
( ( ( ( sK4_SY336 @ SV89 @ SV30 )
!= ( sK8_SY409 @ SV30 @ SV89 ) )
= $true )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1135]) ).
thf(1194,plain,
! [SV30: set_a,SV89: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK4_SY336 @ SV89 @ SV30 ) @ ( sK8_SY409 @ SV30 @ SV89 ) ) @ SV89 )
= $false )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1136]) ).
thf(1195,plain,
! [SV89: set_Product_prod_a_a,SV30: set_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK8_SY409 @ SV30 @ SV89 ) @ ( sK4_SY336 @ SV89 @ SV30 ) ) @ SV89 )
= $false )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1136]) ).
thf(1196,plain,
! [SV90: set_Product_prod_a_a,SV133: a > $o,SV31: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK14_SY389 @ SV31 @ SV133 @ SV90 ) @ ( sK16_SY412 @ SV90 @ SV133 @ SV31 ) ) @ SV90 ) )
= $false )
| ( ( SV133 @ SV31 )
= $true )
| ( ( member_a @ SV31 @ ( range_a_a @ SV90 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1137]) ).
thf(1197,plain,
! [SV31: a,SV90: set_Product_prod_a_a,SV133: a > $o] :
( ( ( SV133 @ ( sK16_SY412 @ SV90 @ SV133 @ SV31 ) )
= $false )
| ( ( SV133 @ SV31 )
= $true )
| ( ( member_a @ SV31 @ ( range_a_a @ SV90 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1137]) ).
thf(1198,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1138]) ).
thf(1199,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1138]) ).
thf(1200,plain,
! [SV92: set_a,SV162: set_a] :
( ( ( ~ ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV92 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 )
| ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1139]) ).
thf(1201,plain,
! [SV92: set_a,SV162: set_a] :
( ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV162 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 )
| ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1139]) ).
thf(1202,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) )
= $false )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1203,plain,
! [SV93: set_Product_prod_a_a,SV175: a,SV34: a] :
( ( ( ! [SY413: a] :
~ ~ ( ( SV34 != SY413 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SY413 ) @ SV93 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1204,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1143]) ).
thf(1205,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1143]) ).
thf(1206,plain,
! [SV94: set_a,SV163: set_a] :
( ( ( ~ ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV94 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 )
| ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1207,plain,
! [SV94: set_a,SV163: set_a] :
( ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV163 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 )
| ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1208,plain,
! [SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) )
= $false )
| ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1209,plain,
! [SV176: a,SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ~ ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
| ~ ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV176 @ SV36 ) @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1210,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1211,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1149]) ).
thf(1212,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( SV37 = SV96 )
= $false )
| ( ( ~ ( member_a @ SV37 @ SV137 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1213,plain,
! [SV100: set_Product_prod_a_a,SV172: a,SV164: a,SV42: set_a,SV139: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV139 @ SV42 )
| ~ ( member_a @ SV164 @ SV42 ) )
| ~ ( member_a @ SV172 @ SV42 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1151]) ).
thf(1214,plain,
! [SV101: set_Product_prod_a_a,SV165: a,SV43: set_a,SV140: a] :
( ( ( ~ ( member_a @ SV140 @ SV43 ) )
= $true )
| ( ( ~ ( member_a @ SV165 @ SV43 ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1152]) ).
thf(1215,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1153]) ).
thf(1216,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( ~ ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
| ( SV106 = SV143 ) )
| ~ ( ( ( insert_a @ SV49 @ SV106 )
!= ( insert_a @ SV49 @ SV143 ) )
| ( SV106 != SV143 ) ) )
= $true )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1155]) ).
thf(1217,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= ( SV106 = SV143 ) )
= $true )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1155]) ).
thf(1218,plain,
! [SV174: a,SV54: set_a] :
( ( ( ~ ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 ) )
= $false )
| ( ( member_a @ SV174 @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1219,plain,
! [SV174: a,SV54: set_a] :
( ( ( ~ ( ( SV54 != bot_bot_set_a ) ) )
= $false )
| ( ( member_a @ SV174 @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1220,plain,
! [SV54: set_a] :
( ( ( ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 ) )
= $false )
| ( ( SV54 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1221,plain,
! [SV54: set_a] :
( ( ( SV54 = bot_bot_set_a )
= $false )
| ( ( SV54 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1222,plain,
! [SV147: set_a,SV111: set_a,SV55: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1159]) ).
thf(1223,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1224,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( member_a @ SV55 @ SV147 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1225,plain,
! [SV148: a,SV112: a,SV56: a] :
( ( ( ~ ( member_a @ SV56 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV112 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV148 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1162]) ).
thf(1226,plain,
! [SV149: set_a,SV57: a,SV113: set_a] :
( ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
| ~ ( ord_less_eq_set_a @ SV113 @ SV149 ) ) )
= $true )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1227,plain,
! [SV57: a,SV149: set_a,SV113: set_a] :
( ( ( ord_less_eq_set_a @ SV113 @ SV149 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
| ~ ( ord_less_eq_set_a @ SV113 @ SV149 ) ) )
= $true )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1228,plain,
! [SV58: a,SV114: set_a] :
( ( ( SV114
= ( insert_a @ SV58 @ ( sK11_SY370 @ SV58 @ SV114 ) ) )
= $true )
| ( ( member_a @ SV58 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1229,plain,
! [SV114: set_a,SV58: a] :
( ( ( ~ ( member_a @ SV58 @ ( sK11_SY370 @ SV58 @ SV114 ) ) )
= $true )
| ( ( member_a @ SV58 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1230,plain,
! [SV121: set_Product_prod_a_a,SV173: a,SV65: set_a,SV177: a] :
( ( ( member_a @ SV177 @ SV65 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV173 @ SV177 ) @ SV121 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV177 @ SV173 ) @ SV121 ) )
= $true )
| ( ( member_a @ SV173 @ SV65 )
= $false )
| ( ( prefer719835986ence_a @ SV65 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1231,plain,
! [SV123: set_Product_prod_a_a,SV170: a,SV67: set_a,SV155: a] :
( ( ( ~ ( member_a @ SV155 @ SV67 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV155 @ SV170 ) @ SV123 )
= $false )
| ( ( refl_on_a @ SV67 @ SV123 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1167]) ).
thf(1232,plain,
! [SV123: set_Product_prod_a_a,SV155: a,SV67: set_a,SV170: a] :
( ( ( ~ ( member_a @ SV170 @ SV67 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV155 @ SV170 ) @ SV123 )
= $false )
| ( ( refl_on_a @ SV67 @ SV123 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1167]) ).
thf(1233,plain,
! [SV5: set_a,SV179: a] :
( ( ( ~ ( member_a @ SV179 @ SV5 ) )
= $true )
| ( ( member_a @ ( sK5_SY195 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1168]) ).
thf(1234,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( SV8 = SV71 )
= $true )
| ( ( member_a @ SV8 @ SV124 )
= $true )
| ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1172]) ).
thf(1235,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
= $true )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1173]) ).
thf(1236,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) )
= $true )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1174]) ).
thf(1237,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( member_a @ SV8 @ ( insert_a @ SV71 @ SV124 ) )
= $true )
| ( ( member_a @ SV8 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1238,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( ( SV8 = SV71 )
| ( member_a @ SV8 @ SV124 ) )
= $true )
| ( ( member_a @ SV8 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1239,plain,
! [SV74: set_a,SV12: a] :
( ( ( member_a @ SV12 @ SV74 )
= $false )
| ( ( member_a @ SV12 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1240,plain,
! [SV75: set_Product_prod_a_a,SV171: a,SV156: a,SV13: set_a,SV125: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV125 @ SV13 )
| ~ ( member_a @ SV156 @ SV13 ) ) )
= $true )
| ( ( ~ ( member_a @ SV171 @ SV13 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1180]) ).
thf(1241,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( total_on_a @ SV76 @ SV157 )
= $true )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1181]) ).
thf(1242,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $true )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1243,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a] :
( ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1244,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
| ~ ( ( ( sK15_SY403 @ SV157 @ SV76 )
!= ( sK19_SY414 @ SV157 @ SV76 ) ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1184]) ).
thf(1245,plain,
! [SV80: set_Product_prod_a_a,SV20: set_a,SV127: a] :
( ( ( ( prefer1676310729than_a @ SV127 @ SV20 @ SV80 )
= bot_bot_set_a )
= $false )
| ( ( member_a @ SV127 @ SV20 )
= $false )
| ( ( SV20 = bot_bot_set_a )
= $true )
| ( ( prefer719835986ence_a @ SV20 @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1246,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( ~ ( member_a @ SV81 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV128 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1247,plain,
! [SV22: set_a] :
( ( ( member_a @ ( sK13_SY411 @ SV22 ) @ SV22 )
= $true )
| ( ( is_singleton_a @ SV22 )
= $true )
| ( ( SV22 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1188]) ).
thf(1248,plain,
! [SV23: set_a,SV82: set_Product_prod_a_a,SV159: a,SV129: a] :
( ( ( ~ ( ( SV129 != SV159 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV129 @ SV159 ) @ SV82 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV159 @ SV129 ) @ SV82 ) )
= $true )
| ( ( member_a @ SV159 @ SV23 )
= $false )
| ( ( member_a @ SV129 @ SV23 )
= $false )
| ( ( prefer719835986ence_a @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1190]) ).
thf(1249,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
| ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1192]) ).
thf(1250,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1192]) ).
thf(1251,plain,
! [SV30: set_a,SV89: set_Product_prod_a_a] :
( ( ( ( sK4_SY336 @ SV89 @ SV30 )
= ( sK8_SY409 @ SV30 @ SV89 ) )
= $false )
| ( ( total_on_a @ SV30 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1252,plain,
! [SV90: set_Product_prod_a_a,SV133: a > $o,SV31: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK14_SY389 @ SV31 @ SV133 @ SV90 ) @ ( sK16_SY412 @ SV90 @ SV133 @ SV31 ) ) @ SV90 )
= $true )
| ( ( SV133 @ SV31 )
= $true )
| ( ( member_a @ SV31 @ ( range_a_a @ SV90 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1196]) ).
thf(1253,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= $true )
| ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1254,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1255,plain,
! [SV92: set_a,SV162: set_a] :
( ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV92 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 )
| ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1200]) ).
thf(1256,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 )
| ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) )
= $false )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1201]) ).
thf(1257,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ~ ! [SY415: a] :
~ ~ ( ( SV34 != SY415 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK20_SY345 @ SV93 @ SV34 ) @ SY415 ) @ SV93 ) ) )
= $false )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1202]) ).
thf(1258,plain,
! [SV93: set_Product_prod_a_a,SV175: a,SV180: a,SV34: a] :
( ( ( ~ ~ ( ( SV34 != SV180 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1203]) ).
thf(1259,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= $true )
| ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1260,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1261,plain,
! [SV94: set_a,SV163: set_a] :
( ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV94 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 )
| ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1206]) ).
thf(1262,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 )
| ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) )
= $false )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV163 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1263,plain,
! [SV36: a,SV95: set_Product_prod_a_a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK21_SY349 @ SV95 @ SV36 ) @ SV36 ) @ SV95 ) )
= $false )
| ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1208]) ).
thf(1264,plain,
! [SV176: a,SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ~ ( member_a @ SV36 @ ( range_a_a @ SV95 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV176 @ SV36 ) @ SV95 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1209]) ).
thf(1265,plain,
! [SV176: a,SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ~ ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV176 @ SV36 ) @ SV95 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1209]) ).
thf(1266,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1211]) ).
thf(1267,plain,
! [SV96: a,SV137: set_a,SV37: a] :
( ( ( member_a @ SV37 @ SV137 )
= $false )
| ( ( SV37 = SV96 )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1268,plain,
! [SV100: set_Product_prod_a_a,SV172: a,SV164: a,SV42: set_a,SV139: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV139 @ SV42 )
| ~ ( member_a @ SV164 @ SV42 ) ) )
= $true )
| ( ( ~ ( member_a @ SV172 @ SV42 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1213]) ).
thf(1269,plain,
! [SV101: set_Product_prod_a_a,SV165: a,SV43: set_a,SV140: a] :
( ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( ~ ( member_a @ SV165 @ SV43 ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1270,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1271,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( ~ ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
| ( SV106 = SV143 ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV49 @ SV106 )
!= ( insert_a @ SV49 @ SV143 ) )
| ( SV106 != SV143 ) ) )
= $true )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1216]) ).
thf(1272,plain,
! [SV174: a,SV54: set_a] :
( ( ( ~ ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 ) )
= $true )
| ( ( member_a @ SV174 @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1273,plain,
! [SV174: a,SV54: set_a] :
( ( ( SV54 != bot_bot_set_a )
= $true )
| ( ( member_a @ SV174 @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1219]) ).
thf(1274,plain,
! [SV54: set_a] :
( ( ( ~ ( member_a @ ( sK22_SY288 @ SV54 ) @ SV54 ) )
= $false )
| ( ( SV54 = bot_bot_set_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1220]) ).
thf(1275,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1276,plain,
! [SV55: a,SV147: set_a,SV111: set_a] :
( ( ( ord_less_eq_set_a @ SV111 @ SV147 )
= $false )
| ( ( member_a @ SV55 @ SV147 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1224]) ).
thf(1277,plain,
! [SV148: a,SV112: a,SV56: a] :
( ( ( member_a @ SV56 @ carrier )
= $false )
| ( ( ~ ( member_a @ SV112 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV148 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1225]) ).
thf(1278,plain,
! [SV149: set_a,SV57: a,SV113: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
| ~ ( ord_less_eq_set_a @ SV113 @ SV149 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
= $false )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1279,plain,
! [SV149: set_a,SV57: a,SV113: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
| ~ ( ord_less_eq_set_a @ SV113 @ SV149 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV113 @ SV149 )
= $false )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1227]) ).
thf(1280,plain,
! [SV114: set_a,SV58: a] :
( ( ( member_a @ SV58 @ ( sK11_SY370 @ SV58 @ SV114 ) )
= $false )
| ( ( member_a @ SV58 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1281,plain,
! [SV65: set_a,SV121: set_Product_prod_a_a,SV177: a,SV173: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV173 @ SV177 ) @ SV121 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV177 @ SV173 ) @ SV121 )
= $true )
| ( ( member_a @ SV177 @ SV65 )
= $false )
| ( ( member_a @ SV173 @ SV65 )
= $false )
| ( ( prefer719835986ence_a @ SV65 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1230]) ).
thf(1282,plain,
! [SV123: set_Product_prod_a_a,SV170: a,SV67: set_a,SV155: a] :
( ( ( member_a @ SV155 @ SV67 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV155 @ SV170 ) @ SV123 )
= $false )
| ( ( refl_on_a @ SV67 @ SV123 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1231]) ).
thf(1283,plain,
! [SV123: set_Product_prod_a_a,SV155: a,SV67: set_a,SV170: a] :
( ( ( member_a @ SV170 @ SV67 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV155 @ SV170 ) @ SV123 )
= $false )
| ( ( refl_on_a @ SV67 @ SV123 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1232]) ).
thf(1284,plain,
! [SV5: set_a,SV179: a] :
( ( ( member_a @ SV179 @ SV5 )
= $false )
| ( ( member_a @ ( sK5_SY195 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1285,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( SV8 = SV71 )
= $true )
| ( ( member_a @ SV8 @ SV124 )
= $true )
| ( ( SV8 = SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1236]) ).
thf(1286,plain,
! [SV124: set_a,SV71: a,SV8: a] :
( ( ( SV8 = SV71 )
= $true )
| ( ( member_a @ SV8 @ SV124 )
= $true )
| ( ( member_a @ SV8 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1238]) ).
thf(1287,plain,
! [SV75: set_Product_prod_a_a,SV171: a,SV156: a,SV13: set_a,SV125: a] :
( ( ( ~ ( ~ ( member_a @ SV125 @ SV13 )
| ~ ( member_a @ SV156 @ SV13 ) ) )
= $false )
| ( ( ~ ( member_a @ SV171 @ SV13 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1288,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV181: a] :
( ( ( ~ ( member_a @ SV181 @ SV76 )
| ! [SY416: a] :
( ~ ( member_a @ SY416 @ SV76 )
| ~ ( ( SV181 != SY416 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV181 @ SY416 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY416 @ SV181 ) @ SV157 ) ) )
= $true )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1242]) ).
thf(1289,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1290,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1244]) ).
thf(1291,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a] :
( ( ( ~ ( ( ( sK15_SY403 @ SV157 @ SV76 )
!= ( sK19_SY414 @ SV157 @ SV76 ) ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1244]) ).
thf(1292,plain,
! [SV128: a,SV21: a,SV81: a] :
( ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( ~ ( member_a @ SV128 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1293,plain,
! [SV23: set_a,SV82: set_Product_prod_a_a,SV159: a,SV129: a] :
( ( ( SV129 != SV159 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV129 @ SV159 ) @ SV82 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV159 @ SV129 ) @ SV82 ) )
= $true )
| ( ( member_a @ SV159 @ SV23 )
= $false )
| ( ( member_a @ SV129 @ SV23 )
= $false )
| ( ( prefer719835986ence_a @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1294,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1249]) ).
thf(1295,plain,
! [SV162: set_a,SV92: set_a,SV182: a] :
( ( ( ~ ( member_a @ SV182 @ SV92 )
| ( member_a @ SV182 @ SV162 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1254]) ).
thf(1296,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 )
| ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) )
= $false )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1297,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 ) )
= $false )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV162 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1256]) ).
thf(1298,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) )
= $false )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV162 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1256]) ).
thf(1299,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ! [SY415: a] :
~ ~ ( ( SV34 != SY415 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK20_SY345 @ SV93 @ SV34 ) @ SY415 ) @ SV93 ) ) )
= $true )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1257]) ).
thf(1300,plain,
! [SV93: set_Product_prod_a_a,SV175: a,SV180: a,SV34: a] :
( ( ( ~ ( ( SV34 != SV180 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1301,plain,
! [SV163: set_a,SV94: set_a,SV183: a] :
( ( ( ~ ( member_a @ SV183 @ SV94 )
| ( member_a @ SV183 @ SV163 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1260]) ).
thf(1302,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 )
| ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) )
= $false )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1261]) ).
thf(1303,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 ) )
= $false )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV163 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1262]) ).
thf(1304,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) )
= $false )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV163 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1262]) ).
thf(1305,plain,
! [SV36: a,SV95: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK21_SY349 @ SV95 @ SV36 ) @ SV36 ) @ SV95 )
= $true )
| ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1263]) ).
thf(1306,plain,
! [SV176: a,SV95: set_Product_prod_a_a,SV36: a] :
( ( ( member_a @ SV36 @ ( range_a_a @ SV95 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV176 @ SV36 ) @ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1307,plain,
! [SV176: a,SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ~ ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV176 @ SV36 ) @ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1308,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( SV37 != SV96 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1266]) ).
thf(1309,plain,
! [SV96: a,SV137: set_a,SV37: a] :
( ( ( ~ ( member_a @ SV37 @ SV137 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1266]) ).
thf(1310,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
| ~ ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) )
= $false )
| ( ( SV37 = SV96 )
= $false )
| ( ( member_a @ SV37 @ SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1311,plain,
! [SV100: set_Product_prod_a_a,SV172: a,SV164: a,SV42: set_a,SV139: a] :
( ( ( ~ ( ~ ( member_a @ SV139 @ SV42 )
| ~ ( member_a @ SV164 @ SV42 ) ) )
= $false )
| ( ( ~ ( member_a @ SV172 @ SV42 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1312,plain,
! [SV101: set_Product_prod_a_a,SV140: a,SV43: set_a,SV165: a] :
( ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1269]) ).
thf(1313,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1270]) ).
thf(1314,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1270]) ).
thf(1315,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
| ( SV106 = SV143 ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV49 @ SV106 )
!= ( insert_a @ SV49 @ SV143 ) )
| ( SV106 != SV143 ) ) )
= $true )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1316,plain,
! [SV174: a,SV54: set_a] :
( ( ( ! [SY288: a] :
~ ( member_a @ SY288 @ SV54 ) )
= $false )
| ( ( member_a @ SV174 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1317,plain,
! [SV174: a,SV54: set_a] :
( ( ( SV54 = bot_bot_set_a )
= $false )
| ( ( member_a @ SV174 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1318,plain,
! [SV54: set_a] :
( ( ( member_a @ ( sK22_SY288 @ SV54 ) @ SV54 )
= $true )
| ( ( SV54 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1274]) ).
thf(1319,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( ~ ( member_a @ SV55 @ SV147 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1320,plain,
! [SV55: a,SV147: set_a,SV111: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1321,plain,
! [SV147: set_a,SV111: set_a,SV55: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
| ~ ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) )
= $false )
| ( ( member_a @ SV55 @ SV147 )
= $false )
| ( ( ord_less_eq_set_a @ SV111 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1322,plain,
! [SV148: a,SV56: a,SV112: a] :
( ( ( member_a @ SV112 @ carrier )
= $false )
| ( ( member_a @ SV56 @ carrier )
= $false )
| ( ( ~ ( member_a @ SV148 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1323,plain,
! [SV149: set_a,SV57: a,SV113: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
= $false )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1278]) ).
thf(1324,plain,
! [SV57: a,SV149: set_a,SV113: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV113 @ SV149 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
= $false )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1278]) ).
thf(1325,plain,
! [SV149: set_a,SV57: a,SV113: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV113 @ SV149 )
= $false )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1279]) ).
thf(1326,plain,
! [SV57: a,SV149: set_a,SV113: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV113 @ SV149 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV113 @ SV149 )
= $false )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1279]) ).
thf(1327,plain,
! [SV75: set_Product_prod_a_a,SV171: a,SV156: a,SV13: set_a,SV125: a] :
( ( ( ~ ( member_a @ SV125 @ SV13 )
| ~ ( member_a @ SV156 @ SV13 ) )
= $true )
| ( ( ~ ( member_a @ SV171 @ SV13 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1287]) ).
thf(1328,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV181: a] :
( ( ( ~ ( member_a @ SV181 @ SV76 ) )
= $true )
| ( ( ! [SY416: a] :
( ~ ( member_a @ SY416 @ SV76 )
| ~ ( ( SV181 != SY416 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV181 @ SY416 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY416 @ SV181 ) @ SV157 ) ) )
= $true )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1288]) ).
thf(1329,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ( total_on_a @ SV76 @ SV157 ) )
= $false )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1289]) ).
thf(1330,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1289]) ).
thf(1331,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a] :
( ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1290]) ).
thf(1332,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a] :
( ( ( ~ ( ( ( sK15_SY403 @ SV157 @ SV76 )
!= ( sK19_SY414 @ SV157 @ SV76 ) ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1291]) ).
thf(1333,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a] :
( ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1291]) ).
thf(1334,plain,
! [SV81: a,SV21: a,SV128: a] :
( ( ( member_a @ SV128 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1335,plain,
! [SV23: set_a,SV82: set_Product_prod_a_a,SV159: a,SV129: a] :
( ( ( SV129 = SV159 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV129 @ SV159 ) @ SV82 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV159 @ SV129 ) @ SV82 ) )
= $true )
| ( ( member_a @ SV159 @ SV23 )
= $false )
| ( ( member_a @ SV129 @ SV23 )
= $false )
| ( ( prefer719835986ence_a @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1336,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1294]) ).
thf(1337,plain,
! [SV162: set_a,SV92: set_a,SV182: a] :
( ( ( ~ ( member_a @ SV182 @ SV92 ) )
= $true )
| ( ( member_a @ SV182 @ SV162 )
= $true )
| ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1295]) ).
thf(1338,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV92 @ SV162 ) )
= $false )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV92 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1296]) ).
thf(1339,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ~ ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) )
= $false )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV92 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1296]) ).
thf(1340,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= $true )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV162 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1297]) ).
thf(1341,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) )
= $true )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV162 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1298]) ).
thf(1342,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ! [SY415: a] :
~ ~ ( ( SV34 != SY415 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK20_SY345 @ SV93 @ SV34 ) @ SY415 ) @ SV93 ) ) )
= $false )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1343,plain,
! [SV93: set_Product_prod_a_a,SV175: a,SV180: a,SV34: a] :
( ( ( ( SV34 != SV180 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1300]) ).
thf(1344,plain,
! [SV163: set_a,SV94: set_a,SV183: a] :
( ( ( ~ ( member_a @ SV183 @ SV94 ) )
= $true )
| ( ( member_a @ SV183 @ SV163 )
= $true )
| ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1301]) ).
thf(1345,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV94 @ SV163 ) )
= $false )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV94 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1302]) ).
thf(1346,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ~ ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) )
= $false )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV94 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1302]) ).
thf(1347,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= $true )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV163 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1303]) ).
thf(1348,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) )
= $true )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV163 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1304]) ).
thf(1349,plain,
! [SV176: a,SV95: set_Product_prod_a_a,SV36: a] :
( ( ( ! [SY349: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY349 @ SV36 ) @ SV95 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV176 @ SV36 ) @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1307]) ).
thf(1350,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( SV37 = SV96 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1308]) ).
thf(1351,plain,
! [SV96: a,SV137: set_a,SV37: a] :
( ( ( member_a @ SV37 @ SV137 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1309]) ).
thf(1352,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) ) )
= $false )
| ( ( SV37 = SV96 )
= $false )
| ( ( member_a @ SV37 @ SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1310]) ).
thf(1353,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ~ ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) )
= $false )
| ( ( SV37 = SV96 )
= $false )
| ( ( member_a @ SV37 @ SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1310]) ).
thf(1354,plain,
! [SV100: set_Product_prod_a_a,SV172: a,SV164: a,SV42: set_a,SV139: a] :
( ( ( ~ ( member_a @ SV139 @ SV42 )
| ~ ( member_a @ SV164 @ SV42 ) )
= $true )
| ( ( ~ ( member_a @ SV172 @ SV42 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1355,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) )
| ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1312]) ).
thf(1356,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1312]) ).
thf(1357,plain,
! [SV46: a,SV103: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1313]) ).
thf(1358,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1314]) ).
thf(1359,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV49 @ SV106 )
!= ( insert_a @ SV49 @ SV143 ) )
| ( SV106 != SV143 ) ) )
= $true )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1315]) ).
thf(1360,plain,
! [SV49: a,SV143: set_a,SV106: set_a] :
( ( ( SV106 = SV143 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV49 @ SV106 )
!= ( insert_a @ SV49 @ SV143 ) )
| ( SV106 != SV143 ) ) )
= $true )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1315]) ).
thf(1361,plain,
! [SV54: set_a,SV174: a] :
( ( ( ~ ( member_a @ ( sK23_SY288 @ SV174 @ SV54 ) @ SV54 ) )
= $false )
| ( ( member_a @ SV174 @ SV54 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1316]) ).
thf(1362,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( member_a @ SV55 @ SV147 )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1319]) ).
thf(1363,plain,
! [SV55: a,SV147: set_a,SV111: set_a] :
( ( ( ord_less_eq_set_a @ SV111 @ SV147 )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1320]) ).
thf(1364,plain,
! [SV147: set_a,SV111: set_a,SV55: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 ) )
= $false )
| ( ( member_a @ SV55 @ SV147 )
= $false )
| ( ( ord_less_eq_set_a @ SV111 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1365,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) )
= $false )
| ( ( member_a @ SV55 @ SV147 )
= $false )
| ( ( ord_less_eq_set_a @ SV111 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1366,plain,
! [SV112: a,SV56: a,SV148: a] :
( ( ( member_a @ SV148 @ carrier )
= $false )
| ( ( member_a @ SV56 @ carrier )
= $false )
| ( ( member_a @ SV112 @ carrier )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1322]) ).
thf(1367,plain,
! [SV149: set_a,SV57: a,SV113: set_a] :
( ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
= $false )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1323]) ).
thf(1368,plain,
! [SV57: a,SV149: set_a,SV113: set_a] :
( ( ( ord_less_eq_set_a @ SV113 @ SV149 )
= $true )
| ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
= $false )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1324]) ).
thf(1369,plain,
! [SV149: set_a,SV57: a,SV113: set_a] :
( ( ( ord_less_eq_set_a @ SV113 @ ( insert_a @ SV57 @ SV149 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV113 @ SV149 )
= $false )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1325]) ).
thf(1370,plain,
! [SV57: a,SV149: set_a,SV113: set_a] :
( ( ( ord_less_eq_set_a @ SV113 @ SV149 )
= $true )
| ( ( ord_less_eq_set_a @ SV113 @ SV149 )
= $false )
| ( ( member_a @ SV57 @ SV113 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1326]) ).
thf(1371,plain,
! [SV75: set_Product_prod_a_a,SV171: a,SV156: a,SV13: set_a,SV125: a] :
( ( ( ~ ( member_a @ SV125 @ SV13 ) )
= $true )
| ( ( ~ ( member_a @ SV156 @ SV13 ) )
= $true )
| ( ( ~ ( member_a @ SV171 @ SV13 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1327]) ).
thf(1372,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV181: a] :
( ( ( member_a @ SV181 @ SV76 )
= $false )
| ( ( ! [SY416: a] :
( ~ ( member_a @ SY416 @ SV76 )
| ~ ( ( SV181 != SY416 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV181 @ SY416 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY416 @ SV181 ) @ SV157 ) ) )
= $true )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1328]) ).
thf(1373,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( total_on_a @ SV76 @ SV157 )
= $true )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1329]) ).
thf(1374,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $true )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1330]) ).
thf(1375,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1376,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a] :
( ( ( ( sK15_SY403 @ SV157 @ SV76 )
!= ( sK19_SY414 @ SV157 @ SV76 ) )
= $true )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1332]) ).
thf(1377,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1378,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1379,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1334]) ).
thf(1380,plain,
! [SV23: set_a,SV82: set_Product_prod_a_a,SV159: a,SV129: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV129 @ SV159 ) @ SV82 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV159 @ SV129 ) @ SV82 )
= $true )
| ( ( SV129 = SV159 )
= $true )
| ( ( member_a @ SV159 @ SV23 )
= $false )
| ( ( member_a @ SV129 @ SV23 )
= $false )
| ( ( prefer719835986ence_a @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1335]) ).
thf(1381,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1382,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1383,plain,
! [SV162: set_a,SV92: set_a,SV182: a] :
( ( ( member_a @ SV182 @ SV92 )
= $false )
| ( ( member_a @ SV182 @ SV162 )
= $true )
| ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1337]) ).
thf(1384,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ord_less_eq_set_a @ SV92 @ SV162 )
= $true )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV92 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1338]) ).
thf(1385,plain,
! [SV162: set_a,SV92: set_a] :
( ( ( ! [SY406: a] :
( ~ ( member_a @ SY406 @ SV92 )
| ( member_a @ SY406 @ SV162 ) ) )
= $true )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV92 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1339]) ).
thf(1386,plain,
! [SV162: set_a,SV92: set_a,SV184: a] :
( ( ( ~ ( member_a @ SV184 @ SV92 )
| ( member_a @ SV184 @ SV162 ) )
= $true )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV162 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1341]) ).
thf(1387,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ~ ( ( SV34
!= ( sK24_SY415 @ SV93 @ SV34 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK20_SY345 @ SV93 @ SV34 ) @ ( sK24_SY415 @ SV93 @ SV34 ) ) @ SV93 ) ) )
= $false )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1342]) ).
thf(1388,plain,
! [SV93: set_Product_prod_a_a,SV175: a,SV180: a,SV34: a] :
( ( ( SV34 != SV180 )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1343]) ).
thf(1389,plain,
! [SV163: set_a,SV94: set_a,SV183: a] :
( ( ( member_a @ SV183 @ SV94 )
= $false )
| ( ( member_a @ SV183 @ SV163 )
= $true )
| ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1390,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ord_less_eq_set_a @ SV94 @ SV163 )
= $true )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV94 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1345]) ).
thf(1391,plain,
! [SV163: set_a,SV94: set_a] :
( ( ( ! [SY407: a] :
( ~ ( member_a @ SY407 @ SV94 )
| ( member_a @ SY407 @ SV163 ) ) )
= $true )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV94 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1346]) ).
thf(1392,plain,
! [SV163: set_a,SV94: set_a,SV185: a] :
( ( ( ~ ( member_a @ SV185 @ SV94 )
| ( member_a @ SV185 @ SV163 ) )
= $true )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV163 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1393,plain,
! [SV36: a,SV95: set_Product_prod_a_a,SV176: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK25_SY349 @ SV176 @ SV95 @ SV36 ) @ SV36 ) @ SV95 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV176 @ SV36 ) @ SV95 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1349]) ).
thf(1394,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV37 @ SV96 ) @ ( id_on_a @ SV137 ) )
= $true )
| ( ( SV37 = SV96 )
= $false )
| ( ( member_a @ SV37 @ SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1352]) ).
thf(1395,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ~ ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) ) )
= $true )
| ( ( SV37 = SV96 )
= $false )
| ( ( member_a @ SV37 @ SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1353]) ).
thf(1396,plain,
! [SV100: set_Product_prod_a_a,SV172: a,SV164: a,SV42: set_a,SV139: a] :
( ( ( ~ ( member_a @ SV139 @ SV42 ) )
= $true )
| ( ( ~ ( member_a @ SV164 @ SV42 ) )
= $true )
| ( ( ~ ( member_a @ SV172 @ SV42 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1354]) ).
thf(1397,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1355]) ).
thf(1398,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1357]) ).
thf(1399,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation ) )
= $true )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1358]) ).
thf(1400,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( ( ( insert_a @ SV49 @ SV106 )
!= ( insert_a @ SV49 @ SV143 ) )
| ( SV106 != SV143 ) )
= $false )
| ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= $false )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1359]) ).
thf(1401,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( ( ( insert_a @ SV49 @ SV106 )
!= ( insert_a @ SV49 @ SV143 ) )
| ( SV106 != SV143 ) )
= $false )
| ( ( SV106 = SV143 )
= $false )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1360]) ).
thf(1402,plain,
! [SV54: set_a,SV174: a] :
( ( ( member_a @ ( sK23_SY288 @ SV174 @ SV54 ) @ SV54 )
= $true )
| ( ( member_a @ SV174 @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1403,plain,
! [SV147: set_a,SV111: set_a,SV55: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV55 @ SV111 ) @ SV147 )
= $true )
| ( ( member_a @ SV55 @ SV147 )
= $false )
| ( ( ord_less_eq_set_a @ SV111 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1364]) ).
thf(1404,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( ~ ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) ) )
= $true )
| ( ( member_a @ SV55 @ SV147 )
= $false )
| ( ( ord_less_eq_set_a @ SV111 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1365]) ).
thf(1405,plain,
! [SV148: a,SV112: a,SV56: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation ) )
= $true )
| ( ( member_a @ SV112 @ carrier )
= $false )
| ( ( member_a @ SV56 @ carrier )
= $false )
| ( ( member_a @ SV148 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1366]) ).
thf(1406,plain,
! [SV75: set_Product_prod_a_a,SV171: a,SV156: a,SV13: set_a,SV125: a] :
( ( ( member_a @ SV125 @ SV13 )
= $false )
| ( ( ~ ( member_a @ SV156 @ SV13 ) )
= $true )
| ( ( ~ ( member_a @ SV171 @ SV13 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1371]) ).
thf(1407,plain,
! [SV157: set_Product_prod_a_a,SV181: a,SV76: set_a,SV186: a] :
( ( ( ~ ( member_a @ SV186 @ SV76 )
| ~ ( ( SV181 != SV186 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV181 @ SV186 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV186 @ SV181 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV181 @ SV76 )
= $false )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1372]) ).
thf(1408,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV187: a] :
( ( ( ~ ( member_a @ SV187 @ SV76 )
| ! [SY417: a] :
( ~ ( member_a @ SY417 @ SV76 )
| ~ ( ( SV187 != SY417 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV187 @ SY417 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY417 @ SV187 ) @ SV157 ) ) )
= $true )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1409,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ( total_on_a @ SV76 @ SV157 ) )
= $false )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1375]) ).
thf(1410,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1375]) ).
thf(1411,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a] :
( ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1376]) ).
thf(1412,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1413,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1378]) ).
thf(1414,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1379]) ).
thf(1415,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $false )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1381]) ).
thf(1416,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1382]) ).
thf(1417,plain,
! [SV162: set_a,SV92: set_a,SV188: a] :
( ( ( ~ ( member_a @ SV188 @ SV92 )
| ( member_a @ SV188 @ SV162 ) )
= $true )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV92 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1385]) ).
thf(1418,plain,
! [SV162: set_a,SV92: set_a,SV184: a] :
( ( ( ~ ( member_a @ SV184 @ SV92 ) )
= $true )
| ( ( member_a @ SV184 @ SV162 )
= $true )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1386]) ).
thf(1419,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ( ( SV34
!= ( sK24_SY415 @ SV93 @ SV34 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK20_SY345 @ SV93 @ SV34 ) @ ( sK24_SY415 @ SV93 @ SV34 ) ) @ SV93 ) ) )
= $true )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1387]) ).
thf(1420,plain,
! [SV93: set_Product_prod_a_a,SV175: a,SV180: a,SV34: a] :
( ( ( SV34 = SV180 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1388]) ).
thf(1421,plain,
! [SV163: set_a,SV94: set_a,SV189: a] :
( ( ( ~ ( member_a @ SV189 @ SV94 )
| ( member_a @ SV189 @ SV163 ) )
= $true )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV94 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(1422,plain,
! [SV163: set_a,SV94: set_a,SV185: a] :
( ( ( ~ ( member_a @ SV185 @ SV94 ) )
= $true )
| ( ( member_a @ SV185 @ SV163 )
= $true )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV163 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1392]) ).
thf(1423,plain,
! [SV36: a,SV95: set_Product_prod_a_a,SV176: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK25_SY349 @ SV176 @ SV95 @ SV36 ) @ SV36 ) @ SV95 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV176 @ SV36 ) @ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1393]) ).
thf(1424,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( ( SV37 != SV96 )
| ~ ( member_a @ SV37 @ SV137 ) )
= $false )
| ( ( SV37 = SV96 )
= $false )
| ( ( member_a @ SV37 @ SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1425,plain,
! [SV100: set_Product_prod_a_a,SV172: a,SV164: a,SV42: set_a,SV139: a] :
( ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( ~ ( member_a @ SV164 @ SV42 ) )
= $true )
| ( ( ~ ( member_a @ SV172 @ SV42 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1396]) ).
thf(1426,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1397]) ).
thf(1427,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1398]) ).
thf(1428,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1398]) ).
thf(1429,plain,
! [SV103: a,SV46: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1399]) ).
thf(1430,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( ( insert_a @ SV49 @ SV106 )
!= ( insert_a @ SV49 @ SV143 ) )
= $false )
| ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= $false )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1431,plain,
! [SV49: a,SV143: set_a,SV106: set_a] :
( ( ( SV106 != SV143 )
= $false )
| ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= $false )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1432,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( ( insert_a @ SV49 @ SV106 )
!= ( insert_a @ SV49 @ SV143 ) )
= $false )
| ( ( SV106 = SV143 )
= $false )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1433,plain,
! [SV49: a,SV143: set_a,SV106: set_a] :
( ( ( SV106 != SV143 )
= $false )
| ( ( SV106 = SV143 )
= $false )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1434,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( ~ ( member_a @ SV55 @ SV147 )
| ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) )
= $false )
| ( ( member_a @ SV55 @ SV147 )
= $false )
| ( ( ord_less_eq_set_a @ SV111 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1435,plain,
! [SV148: a,SV112: a,SV56: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation ) )
= $true )
| ( ( member_a @ SV112 @ carrier )
= $false )
| ( ( member_a @ SV56 @ carrier )
= $false )
| ( ( member_a @ SV148 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1436,plain,
! [SV75: set_Product_prod_a_a,SV171: a,SV125: a,SV13: set_a,SV156: a] :
( ( ( member_a @ SV156 @ SV13 )
= $false )
| ( ( member_a @ SV125 @ SV13 )
= $false )
| ( ( ~ ( member_a @ SV171 @ SV13 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1406]) ).
thf(1437,plain,
! [SV157: set_Product_prod_a_a,SV181: a,SV76: set_a,SV186: a] :
( ( ( ~ ( member_a @ SV186 @ SV76 ) )
= $true )
| ( ( ~ ( ( SV181 != SV186 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV181 @ SV186 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV186 @ SV181 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV181 @ SV76 )
= $false )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1407]) ).
thf(1438,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV187: a] :
( ( ( ~ ( member_a @ SV187 @ SV76 ) )
= $true )
| ( ( ! [SY417: a] :
( ~ ( member_a @ SY417 @ SV76 )
| ~ ( ( SV187 != SY417 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV187 @ SY417 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY417 @ SV187 ) @ SV157 ) ) )
= $true )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1408]) ).
thf(1439,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( total_on_a @ SV76 @ SV157 )
= $true )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1409]) ).
thf(1440,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $true )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1410]) ).
thf(1441,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ( total_on_a @ SV76 @ SV157 )
| ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1442,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ( total_on_a @ SV76 @ SV157 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1412]) ).
thf(1443,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1412]) ).
thf(1444,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ( total_on_a @ SV76 @ SV157 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1413]) ).
thf(1445,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1413]) ).
thf(1446,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1414]) ).
thf(1447,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1415]) ).
thf(1448,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $false )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1415]) ).
thf(1449,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1416]) ).
thf(1450,plain,
! [SV162: set_a,SV92: set_a,SV188: a] :
( ( ( ~ ( member_a @ SV188 @ SV92 ) )
= $true )
| ( ( member_a @ SV188 @ SV162 )
= $true )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1417]) ).
thf(1451,plain,
! [SV162: set_a,SV92: set_a,SV184: a] :
( ( ( member_a @ SV184 @ SV92 )
= $false )
| ( ( member_a @ SV184 @ SV162 )
= $true )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1452,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ( SV34
!= ( sK24_SY415 @ SV93 @ SV34 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK20_SY345 @ SV93 @ SV34 ) @ ( sK24_SY415 @ SV93 @ SV34 ) ) @ SV93 ) )
= $false )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1419]) ).
thf(1453,plain,
! [SV34: a,SV93: set_Product_prod_a_a,SV180: a,SV175: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false )
| ( ( SV34 = SV180 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1420]) ).
thf(1454,plain,
! [SV163: set_a,SV94: set_a,SV189: a] :
( ( ( ~ ( member_a @ SV189 @ SV94 ) )
= $true )
| ( ( member_a @ SV189 @ SV163 )
= $true )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1421]) ).
thf(1455,plain,
! [SV163: set_a,SV94: set_a,SV185: a] :
( ( ( member_a @ SV185 @ SV94 )
= $false )
| ( ( member_a @ SV185 @ SV163 )
= $true )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV163 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1422]) ).
thf(1456,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( SV37 != SV96 )
= $false )
| ( ( SV37 = SV96 )
= $false )
| ( ( member_a @ SV37 @ SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1457,plain,
! [SV96: a,SV137: set_a,SV37: a] :
( ( ( ~ ( member_a @ SV37 @ SV137 ) )
= $false )
| ( ( SV37 = SV96 )
= $false )
| ( ( member_a @ SV37 @ SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1458,plain,
! [SV100: set_Product_prod_a_a,SV172: a,SV139: a,SV42: set_a,SV164: a] :
( ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( ~ ( member_a @ SV172 @ SV42 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1459,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1426]) ).
thf(1460,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1426]) ).
thf(1461,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1427]) ).
thf(1462,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1463,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1429]) ).
thf(1464,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= $true )
| ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= $false )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1430]) ).
thf(1465,plain,
! [SV49: a,SV143: set_a,SV106: set_a] :
( ( ( SV106 = SV143 )
= $true )
| ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= $false )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1431]) ).
thf(1466,plain,
! [SV143: set_a,SV106: set_a,SV49: a] :
( ( ( ( insert_a @ SV49 @ SV106 )
= ( insert_a @ SV49 @ SV143 ) )
= $true )
| ( ( SV106 = SV143 )
= $false )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1432]) ).
thf(1467,plain,
! [SV49: a,SV143: set_a,SV106: set_a] :
( ( ( SV106 = SV143 )
= $true )
| ( ( SV106 = SV143 )
= $false )
| ( ( member_a @ SV49 @ SV143 )
= $true )
| ( ( member_a @ SV49 @ SV106 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1468,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( ~ ( member_a @ SV55 @ SV147 ) )
= $false )
| ( ( member_a @ SV55 @ SV147 )
= $false )
| ( ( ord_less_eq_set_a @ SV111 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1469,plain,
! [SV55: a,SV147: set_a,SV111: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV111 @ SV147 ) )
= $false )
| ( ( member_a @ SV55 @ SV147 )
= $false )
| ( ( ord_less_eq_set_a @ SV111 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1470,plain,
! [SV56: a,SV148: a,SV112: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
= $false )
| ( ( member_a @ SV112 @ carrier )
= $false )
| ( ( member_a @ SV56 @ carrier )
= $false )
| ( ( member_a @ SV148 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1435]) ).
thf(1471,plain,
! [SV75: set_Product_prod_a_a,SV156: a,SV125: a,SV13: set_a,SV171: a] :
( ( ( member_a @ SV171 @ SV13 )
= $false )
| ( ( member_a @ SV125 @ SV13 )
= $false )
| ( ( member_a @ SV156 @ SV13 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1472,plain,
! [SV157: set_Product_prod_a_a,SV181: a,SV76: set_a,SV186: a] :
( ( ( member_a @ SV186 @ SV76 )
= $false )
| ( ( ~ ( ( SV181 != SV186 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV181 @ SV186 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV186 @ SV181 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV181 @ SV76 )
= $false )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1437]) ).
thf(1473,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV187: a] :
( ( ( member_a @ SV187 @ SV76 )
= $false )
| ( ( ! [SY417: a] :
( ~ ( member_a @ SY417 @ SV76 )
| ~ ( ( SV187 != SY417 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV187 @ SY417 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY417 @ SV187 ) @ SV157 ) ) )
= $true )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1474,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV190: a] :
( ( ( ~ ( member_a @ SV190 @ SV76 )
| ! [SY418: a] :
( ~ ( member_a @ SY418 @ SV76 )
| ~ ( ( SV190 != SY418 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV190 @ SY418 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY418 @ SV190 ) @ SV157 ) ) )
= $true )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1440]) ).
thf(1475,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ( total_on_a @ SV76 @ SV157 ) )
= $false )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1441]) ).
thf(1476,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ~ ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $false )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1441]) ).
thf(1477,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( total_on_a @ SV76 @ SV157 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1442]) ).
thf(1478,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1443]) ).
thf(1479,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( total_on_a @ SV76 @ SV157 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1444]) ).
thf(1480,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1445]) ).
thf(1481,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation ) )
= $true )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1446]) ).
thf(1482,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1483,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1448]) ).
thf(1484,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
= $false )
| ( ( ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1449]) ).
thf(1485,plain,
! [SV162: set_a,SV92: set_a,SV188: a] :
( ( ( member_a @ SV188 @ SV92 )
= $false )
| ( ( member_a @ SV188 @ SV162 )
= $true )
| ( ( member_a @ ( sK17_SY406 @ SV162 @ SV92 ) @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1450]) ).
thf(1486,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( SV34
!= ( sK24_SY415 @ SV93 @ SV34 ) )
= $false )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1452]) ).
thf(1487,plain,
! [SV34: a,SV93: set_Product_prod_a_a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK20_SY345 @ SV93 @ SV34 ) @ ( sK24_SY415 @ SV93 @ SV34 ) ) @ SV93 ) )
= $false )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1452]) ).
thf(1488,plain,
! [SV175: a,SV180: a,SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
| ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) )
= $false )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1489,plain,
! [SV163: set_a,SV94: set_a,SV189: a] :
( ( ( member_a @ SV189 @ SV94 )
= $false )
| ( ( member_a @ SV189 @ SV163 )
= $true )
| ( ( member_a @ ( sK18_SY407 @ SV163 @ SV94 ) @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1490,plain,
! [SV137: set_a,SV96: a,SV37: a] :
( ( ( SV37 = SV96 )
= $true )
| ( ( SV37 = SV96 )
= $false )
| ( ( member_a @ SV37 @ SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1456]) ).
thf(1491,plain,
! [SV96: a,SV137: set_a,SV37: a] :
( ( ( member_a @ SV37 @ SV137 )
= $true )
| ( ( SV37 = SV96 )
= $false )
| ( ( member_a @ SV37 @ SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1492,plain,
! [SV100: set_Product_prod_a_a,SV164: a,SV139: a,SV42: set_a,SV172: a] :
( ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1493,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1459]) ).
thf(1494,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1460]) ).
thf(1495,plain,
! [SV46: a,SV103: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1461]) ).
thf(1496,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1462]) ).
thf(1497,plain,
! [SV46: a,SV103: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1463]) ).
thf(1498,plain,
! [SV111: set_a,SV147: set_a,SV55: a] :
( ( ( member_a @ SV55 @ SV147 )
= $true )
| ( ( member_a @ SV55 @ SV147 )
= $false )
| ( ( ord_less_eq_set_a @ SV111 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1499,plain,
! [SV55: a,SV147: set_a,SV111: set_a] :
( ( ( ord_less_eq_set_a @ SV111 @ SV147 )
= $true )
| ( ( member_a @ SV55 @ SV147 )
= $false )
| ( ( ord_less_eq_set_a @ SV111 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1469]) ).
thf(1500,plain,
! [SV56: a,SV148: a,SV112: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV112 @ SV148 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV148 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV56 @ SV112 ) @ relation )
= $false )
| ( ( member_a @ SV112 @ carrier )
= $false )
| ( ( member_a @ SV56 @ carrier )
= $false )
| ( ( member_a @ SV148 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1501,plain,
! [SV13: set_a,SV171: a,SV75: set_Product_prod_a_a,SV156: a,SV125: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true )
| ( ( member_a @ SV156 @ SV13 )
= $false )
| ( ( member_a @ SV125 @ SV13 )
= $false )
| ( ( member_a @ SV171 @ SV13 )
= $false )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1471]) ).
thf(1502,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV186: a,SV181: a] :
( ( ( ~ ( ( SV181 != SV186 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV181 @ SV186 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV186 @ SV181 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV186 @ SV76 )
= $false )
| ( ( member_a @ SV181 @ SV76 )
= $false )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1472]) ).
thf(1503,plain,
! [SV157: set_Product_prod_a_a,SV187: a,SV76: set_a,SV191: a] :
( ( ( ~ ( member_a @ SV191 @ SV76 )
| ~ ( ( SV187 != SV191 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV187 @ SV191 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV191 @ SV187 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV187 @ SV76 )
= $false )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1473]) ).
thf(1504,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV190: a] :
( ( ( ~ ( member_a @ SV190 @ SV76 ) )
= $true )
| ( ( ! [SY418: a] :
( ~ ( member_a @ SY418 @ SV76 )
| ~ ( ( SV190 != SY418 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV190 @ SY418 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY418 @ SV190 ) @ SV157 ) ) )
= $true )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1474]) ).
thf(1505,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( total_on_a @ SV76 @ SV157 )
= $true )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1475]) ).
thf(1506,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a] :
( ( ( ! [SY403: a] :
( ~ ( member_a @ SY403 @ SV76 )
| ! [SY404: a] :
( ~ ( member_a @ SY404 @ SV76 )
| ~ ( ( SY403 != SY404 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY403 @ SY404 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY404 @ SY403 ) @ SV157 ) ) ) )
= $true )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1476]) ).
thf(1507,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV192: a] :
( ( ( ~ ( member_a @ SV192 @ SV76 )
| ! [SY419: a] :
( ~ ( member_a @ SY419 @ SV76 )
| ~ ( ( SV192 != SY419 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV192 @ SY419 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY419 @ SV192 ) @ SV157 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1478]) ).
thf(1508,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV193: a] :
( ( ( ~ ( member_a @ SV193 @ SV76 )
| ! [SY420: a] :
( ~ ( member_a @ SY420 @ SV76 )
| ~ ( ( SV193 != SY420 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV193 @ SY420 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY420 @ SV193 ) @ SV157 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1480]) ).
thf(1509,plain,
! [SV128: a,SV81: a,SV21: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1481]) ).
thf(1510,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $false )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1483]) ).
thf(1511,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 != SV130 )
= $false )
| ( ( ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1512,plain,
! [SV130: a,SV25: a,SV160: set_a,SV84: set_a] :
( ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1513,plain,
! [SV93: set_Product_prod_a_a,SV34: a] :
( ( ( SV34
= ( sK24_SY415 @ SV93 @ SV34 ) )
= $true )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1486]) ).
thf(1514,plain,
! [SV34: a,SV93: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK20_SY345 @ SV93 @ SV34 ) @ ( sK24_SY415 @ SV93 @ SV34 ) ) @ SV93 )
= $true )
| ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1487]) ).
thf(1515,plain,
! [SV175: a,SV180: a,SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ( member_a @ SV34 @ ( range_a_a @ SV93 ) ) )
= $false )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1516,plain,
! [SV175: a,SV180: a,SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) )
= $false )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1517,plain,
! [SV42: set_a,SV172: a,SV100: set_Product_prod_a_a,SV164: a,SV139: a] :
( ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1492]) ).
thf(1518,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1519,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 ) )
= $true )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1494]) ).
thf(1520,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1496]) ).
thf(1521,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1496]) ).
thf(1522,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1497]) ).
thf(1523,plain,
! [SV13: set_a,SV171: a,SV75: set_Product_prod_a_a,SV156: a,SV125: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 ) )
= $true )
| ( ( member_a @ SV156 @ SV13 )
= $false )
| ( ( member_a @ SV125 @ SV13 )
= $false )
| ( ( member_a @ SV171 @ SV13 )
= $false )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1501]) ).
thf(1524,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV186: a,SV181: a] :
( ( ( SV181 != SV186 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV181 @ SV186 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV186 @ SV181 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV186 @ SV76 )
= $false )
| ( ( member_a @ SV181 @ SV76 )
= $false )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1502]) ).
thf(1525,plain,
! [SV157: set_Product_prod_a_a,SV187: a,SV76: set_a,SV191: a] :
( ( ( ~ ( member_a @ SV191 @ SV76 ) )
= $true )
| ( ( ~ ( ( SV187 != SV191 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV187 @ SV191 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV191 @ SV187 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV187 @ SV76 )
= $false )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1503]) ).
thf(1526,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV190: a] :
( ( ( member_a @ SV190 @ SV76 )
= $false )
| ( ( ! [SY418: a] :
( ~ ( member_a @ SY418 @ SV76 )
| ~ ( ( SV190 != SY418 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV190 @ SY418 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY418 @ SV190 ) @ SV157 ) ) )
= $true )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1504]) ).
thf(1527,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV194: a] :
( ( ( ~ ( member_a @ SV194 @ SV76 )
| ! [SY421: a] :
( ~ ( member_a @ SY421 @ SV76 )
| ~ ( ( SV194 != SY421 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV194 @ SY421 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY421 @ SV194 ) @ SV157 ) ) )
= $true )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(1528,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV192: a] :
( ( ( ~ ( member_a @ SV192 @ SV76 ) )
= $true )
| ( ( ! [SY419: a] :
( ~ ( member_a @ SY419 @ SV76 )
| ~ ( ( SV192 != SY419 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV192 @ SY419 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY419 @ SV192 ) @ SV157 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1507]) ).
thf(1529,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV193: a] :
( ( ( ~ ( member_a @ SV193 @ SV76 ) )
= $true )
| ( ( ! [SY420: a] :
( ~ ( member_a @ SY420 @ SV76 )
| ~ ( ( SV193 != SY420 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV193 @ SY420 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY420 @ SV193 ) @ SV157 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1508]) ).
thf(1530,plain,
! [SV128: a,SV21: a,SV81: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1509]) ).
thf(1531,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) ) )
= $false )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1532,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $false )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1533,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1511]) ).
thf(1534,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1512]) ).
thf(1535,plain,
! [SV175: a,SV180: a,SV93: set_Product_prod_a_a,SV34: a] :
( ( ( member_a @ SV34 @ ( range_a_a @ SV93 ) )
= $true )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1515]) ).
thf(1536,plain,
! [SV175: a,SV180: a,SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) )
= $true )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1516]) ).
thf(1537,plain,
! [SV42: set_a,SV172: a,SV100: set_Product_prod_a_a,SV164: a,SV139: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1538,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1518]) ).
thf(1539,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1518]) ).
thf(1540,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1519]) ).
thf(1541,plain,
! [SV103: a,SV46: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1520]) ).
thf(1542,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1521]) ).
thf(1543,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1522]) ).
thf(1544,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1522]) ).
thf(1545,plain,
! [SV13: set_a,SV125: a,SV75: set_Product_prod_a_a,SV171: a,SV156: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
= $false )
| ( ( member_a @ SV156 @ SV13 )
= $false )
| ( ( member_a @ SV125 @ SV13 )
= $false )
| ( ( member_a @ SV171 @ SV13 )
= $false )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1523]) ).
thf(1546,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV186: a,SV181: a] :
( ( ( SV181 = SV186 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV181 @ SV186 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV186 @ SV181 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV186 @ SV76 )
= $false )
| ( ( member_a @ SV181 @ SV76 )
= $false )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1524]) ).
thf(1547,plain,
! [SV157: set_Product_prod_a_a,SV187: a,SV76: set_a,SV191: a] :
( ( ( member_a @ SV191 @ SV76 )
= $false )
| ( ( ~ ( ( SV187 != SV191 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV187 @ SV191 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV191 @ SV187 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV187 @ SV76 )
= $false )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1525]) ).
thf(1548,plain,
! [SV157: set_Product_prod_a_a,SV190: a,SV76: set_a,SV195: a] :
( ( ( ~ ( member_a @ SV195 @ SV76 )
| ~ ( ( SV190 != SV195 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV190 @ SV195 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV195 @ SV190 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV190 @ SV76 )
= $false )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1549,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV194: a] :
( ( ( ~ ( member_a @ SV194 @ SV76 ) )
= $true )
| ( ( ! [SY421: a] :
( ~ ( member_a @ SY421 @ SV76 )
| ~ ( ( SV194 != SY421 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV194 @ SY421 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY421 @ SV194 ) @ SV157 ) ) )
= $true )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1527]) ).
thf(1550,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV192: a] :
( ( ( member_a @ SV192 @ SV76 )
= $false )
| ( ( ! [SY419: a] :
( ~ ( member_a @ SY419 @ SV76 )
| ~ ( ( SV192 != SY419 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV192 @ SY419 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY419 @ SV192 ) @ SV157 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1551,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV193: a] :
( ( ( member_a @ SV193 @ SV76 )
= $false )
| ( ( ! [SY420: a] :
( ~ ( member_a @ SY420 @ SV76 )
| ~ ( ( SV193 != SY420 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV193 @ SY420 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY420 @ SV193 ) @ SV157 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1529]) ).
thf(1552,plain,
! [SV128: a,SV21: a,SV81: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1530]) ).
thf(1553,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1531]) ).
thf(1554,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1532]) ).
thf(1555,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1533]) ).
thf(1556,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1557,plain,
! [SV25: a,SV160: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1558,plain,
! [SV175: a,SV180: a,SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ! [SY345: a] :
~ ~ ! [SY346: a] :
~ ~ ( ( SV34 != SY346 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY345 @ SY346 ) @ SV93 ) ) )
= $false )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1536]) ).
thf(1559,plain,
! [SV42: set_a,SV172: a,SV100: set_Product_prod_a_a,SV164: a,SV139: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1537]) ).
thf(1560,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1538]) ).
thf(1561,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1539]) ).
thf(1562,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1563,plain,
! [SV46: a,SV103: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1564,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1543]) ).
thf(1565,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1544]) ).
thf(1566,plain,
! [SV13: set_a,SV125: a,SV75: set_Product_prod_a_a,SV171: a,SV156: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV156 @ SV171 ) @ SV75 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV171 ) @ SV75 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV125 @ SV156 ) @ SV75 )
= $false )
| ( ( member_a @ SV156 @ SV13 )
= $false )
| ( ( member_a @ SV125 @ SV13 )
= $false )
| ( ( member_a @ SV171 @ SV13 )
= $false )
| ( ( prefer719835986ence_a @ SV13 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1567,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV186: a,SV181: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV181 @ SV186 ) @ SV157 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV186 @ SV181 ) @ SV157 )
= $true )
| ( ( SV181 = SV186 )
= $true )
| ( ( member_a @ SV186 @ SV76 )
= $false )
| ( ( member_a @ SV181 @ SV76 )
= $false )
| ( ( total_on_a @ SV76 @ SV157 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1546]) ).
thf(1568,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV191: a,SV187: a] :
( ( ( ~ ( ( SV187 != SV191 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV187 @ SV191 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV191 @ SV187 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV191 @ SV76 )
= $false )
| ( ( member_a @ SV187 @ SV76 )
= $false )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1547]) ).
thf(1569,plain,
! [SV157: set_Product_prod_a_a,SV190: a,SV76: set_a,SV195: a] :
( ( ( ~ ( member_a @ SV195 @ SV76 ) )
= $true )
| ( ( ~ ( ( SV190 != SV195 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV190 @ SV195 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV195 @ SV190 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV190 @ SV76 )
= $false )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1548]) ).
thf(1570,plain,
! [SV157: set_Product_prod_a_a,SV76: set_a,SV194: a] :
( ( ( member_a @ SV194 @ SV76 )
= $false )
| ( ( ! [SY421: a] :
( ~ ( member_a @ SY421 @ SV76 )
| ~ ( ( SV194 != SY421 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV194 @ SY421 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY421 @ SV194 ) @ SV157 ) ) )
= $true )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1549]) ).
thf(1571,plain,
! [SV157: set_Product_prod_a_a,SV192: a,SV76: set_a,SV196: a] :
( ( ( ~ ( member_a @ SV196 @ SV76 )
| ~ ( ( SV192 != SV196 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV192 @ SV196 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV196 @ SV192 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV192 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1550]) ).
thf(1572,plain,
! [SV157: set_Product_prod_a_a,SV193: a,SV76: set_a,SV197: a] :
( ( ( ~ ( member_a @ SV197 @ SV76 )
| ~ ( ( SV193 != SV197 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV193 @ SV197 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV197 @ SV193 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV193 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1551]) ).
thf(1573,plain,
! [SV81: a,SV128: a,SV21: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1552]) ).
thf(1574,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 != SV130 )
= $true )
| ( ( SV84 = SV160 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1553]) ).
thf(1575,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) ) )
= $true )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1554]) ).
thf(1576,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1555]) ).
thf(1577,plain,
! [SV25: a,SV160: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1555]) ).
thf(1578,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 != SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1556]) ).
thf(1579,plain,
! [SV25: a,SV160: set_a,SV130: a,SV84: set_a] :
( ( ( ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1580,plain,
! [SV93: set_Product_prod_a_a,SV180: a,SV175: a,SV34: a] :
( ( ( ~ ~ ! [SY422: a] :
~ ~ ( ( SV34 != SY422 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK26_SY345 @ SV175 @ SV180 @ SV93 @ SV34 ) @ SY422 ) @ SV93 ) ) )
= $false )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1558]) ).
thf(1581,plain,
! [SV42: set_a,SV172: a,SV100: set_Product_prod_a_a,SV164: a,SV139: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 ) )
= $true )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1559]) ).
thf(1582,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1583,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1561]) ).
thf(1584,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) ) )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1562]) ).
thf(1585,plain,
! [SV46: a,SV103: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1586,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1565]) ).
thf(1587,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV191: a,SV187: a] :
( ( ( SV187 != SV191 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV187 @ SV191 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV191 @ SV187 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV191 @ SV76 )
= $false )
| ( ( member_a @ SV187 @ SV76 )
= $false )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1588,plain,
! [SV157: set_Product_prod_a_a,SV190: a,SV76: set_a,SV195: a] :
( ( ( member_a @ SV195 @ SV76 )
= $false )
| ( ( ~ ( ( SV190 != SV195 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV190 @ SV195 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV195 @ SV190 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV190 @ SV76 )
= $false )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1569]) ).
thf(1589,plain,
! [SV157: set_Product_prod_a_a,SV194: a,SV76: set_a,SV198: a] :
( ( ( ~ ( member_a @ SV198 @ SV76 )
| ~ ( ( SV194 != SV198 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV194 @ SV198 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV198 @ SV194 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV194 @ SV76 )
= $false )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1570]) ).
thf(1590,plain,
! [SV157: set_Product_prod_a_a,SV192: a,SV76: set_a,SV196: a] :
( ( ( ~ ( member_a @ SV196 @ SV76 ) )
= $true )
| ( ( ~ ( ( SV192 != SV196 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV192 @ SV196 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV196 @ SV192 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV192 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1571]) ).
thf(1591,plain,
! [SV157: set_Product_prod_a_a,SV193: a,SV76: set_a,SV197: a] :
( ( ( ~ ( member_a @ SV197 @ SV76 ) )
= $true )
| ( ( ~ ( ( SV193 != SV197 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV193 @ SV197 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV197 @ SV193 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV193 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1572]) ).
thf(1592,plain,
! [SV81: a,SV128: a,SV21: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1593,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 = SV130 )
= $false )
| ( ( SV84 = SV160 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1574]) ).
thf(1594,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 != SV130 )
= $false )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1575]) ).
thf(1595,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 != SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1576]) ).
thf(1596,plain,
! [SV25: a,SV160: set_a,SV130: a,SV84: set_a] :
( ( ( ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1577]) ).
thf(1597,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 = SV130 )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1578]) ).
thf(1598,plain,
! [SV25: a,SV160: set_a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV199 ) )
| ~ ~ ( member_a @ SV130 @ SV199 ) )
| ( SV160
!= ( insert_a @ SV25 @ SV199 ) ) )
| ~ ~ ( member_a @ SV25 @ SV199 ) ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1579]) ).
thf(1599,plain,
! [SV93: set_Product_prod_a_a,SV180: a,SV175: a,SV34: a] :
( ( ( ~ ! [SY422: a] :
~ ~ ( ( SV34 != SY422 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK26_SY345 @ SV175 @ SV180 @ SV93 @ SV34 ) @ SY422 ) @ SV93 ) ) )
= $true )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1580]) ).
thf(1600,plain,
! [SV42: set_a,SV172: a,SV100: set_Product_prod_a_a,SV164: a,SV139: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1581]) ).
thf(1601,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1602,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1603,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1584]) ).
thf(1604,plain,
! [SV103: a,SV46: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1586]) ).
thf(1605,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1586]) ).
thf(1606,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV191: a,SV187: a] :
( ( ( SV187 = SV191 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV187 @ SV191 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV191 @ SV187 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV191 @ SV76 )
= $false )
| ( ( member_a @ SV187 @ SV76 )
= $false )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1587]) ).
thf(1607,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV195: a,SV190: a] :
( ( ( ~ ( ( SV190 != SV195 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV190 @ SV195 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV195 @ SV190 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV195 @ SV76 )
= $false )
| ( ( member_a @ SV190 @ SV76 )
= $false )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1588]) ).
thf(1608,plain,
! [SV157: set_Product_prod_a_a,SV194: a,SV76: set_a,SV198: a] :
( ( ( ~ ( member_a @ SV198 @ SV76 ) )
= $true )
| ( ( ~ ( ( SV194 != SV198 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV194 @ SV198 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV198 @ SV194 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV194 @ SV76 )
= $false )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1589]) ).
thf(1609,plain,
! [SV157: set_Product_prod_a_a,SV192: a,SV76: set_a,SV196: a] :
( ( ( member_a @ SV196 @ SV76 )
= $false )
| ( ( ~ ( ( SV192 != SV196 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV192 @ SV196 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV196 @ SV192 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV192 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1590]) ).
thf(1610,plain,
! [SV157: set_Product_prod_a_a,SV193: a,SV76: set_a,SV197: a] :
( ( ( member_a @ SV197 @ SV76 )
= $false )
| ( ( ~ ( ( SV193 != SV197 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV193 @ SV197 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV197 @ SV193 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV193 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1611,plain,
! [SV81: a,SV128: a,SV21: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1592]) ).
thf(1612,plain,
! [SV81: a,SV21: a,SV128: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1592]) ).
thf(1613,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 = SV130 )
= $true )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1594]) ).
thf(1614,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 = SV130 )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1595]) ).
thf(1615,plain,
! [SV25: a,SV160: set_a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV200 ) )
| ~ ~ ( member_a @ SV130 @ SV200 ) )
| ( SV160
!= ( insert_a @ SV25 @ SV200 ) ) )
| ~ ~ ( member_a @ SV25 @ SV200 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1596]) ).
thf(1616,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1597]) ).
thf(1617,plain,
! [SV25: a,SV160: set_a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV199 ) )
| ~ ~ ( member_a @ SV130 @ SV199 ) )
| ( SV160
!= ( insert_a @ SV25 @ SV199 ) ) )
| ~ ~ ( member_a @ SV25 @ SV199 ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1618,plain,
! [SV93: set_Product_prod_a_a,SV180: a,SV175: a,SV34: a] :
( ( ( ! [SY422: a] :
~ ~ ( ( SV34 != SY422 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK26_SY345 @ SV175 @ SV180 @ SV93 @ SV34 ) @ SY422 ) @ SV93 ) ) )
= $false )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1599]) ).
thf(1619,plain,
! [SV42: set_a,SV172: a,SV100: set_Product_prod_a_a,SV139: a,SV164: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1600]) ).
thf(1620,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1601]) ).
thf(1621,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1602]) ).
thf(1622,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1603]) ).
thf(1623,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1603]) ).
thf(1624,plain,
! [SV103: a,SV46: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1604]) ).
thf(1625,plain,
! [SV46: a,SV103: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1605]) ).
thf(1626,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV191: a,SV187: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV187 @ SV191 ) @ SV157 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV191 @ SV187 ) @ SV157 )
= $true )
| ( ( SV187 = SV191 )
= $true )
| ( ( member_a @ SV191 @ SV76 )
= $false )
| ( ( member_a @ SV187 @ SV76 )
= $false )
| ( ( member_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1606]) ).
thf(1627,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV195: a,SV190: a] :
( ( ( SV190 != SV195 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV190 @ SV195 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV195 @ SV190 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV195 @ SV76 )
= $false )
| ( ( member_a @ SV190 @ SV76 )
= $false )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1607]) ).
thf(1628,plain,
! [SV157: set_Product_prod_a_a,SV194: a,SV76: set_a,SV198: a] :
( ( ( member_a @ SV198 @ SV76 )
= $false )
| ( ( ~ ( ( SV194 != SV198 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV194 @ SV198 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV198 @ SV194 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV194 @ SV76 )
= $false )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1629,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV196: a,SV192: a] :
( ( ( ~ ( ( SV192 != SV196 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV192 @ SV196 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV196 @ SV192 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV196 @ SV76 )
= $false )
| ( ( member_a @ SV192 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1609]) ).
thf(1630,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV197: a,SV193: a] :
( ( ( ~ ( ( SV193 != SV197 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV193 @ SV197 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV197 @ SV193 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV197 @ SV76 )
= $false )
| ( ( member_a @ SV193 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1610]) ).
thf(1631,plain,
! [SV81: a,SV128: a,SV21: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1611]) ).
thf(1632,plain,
! [SV81: a,SV21: a,SV128: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1612]) ).
thf(1633,plain,
! [SV25: a,SV160: set_a,SV130: a,SV84: set_a] :
( ( ( ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1613]) ).
thf(1634,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1635,plain,
! [SV25: a,SV160: set_a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV200 ) )
| ~ ~ ( member_a @ SV130 @ SV200 ) )
| ( SV160
!= ( insert_a @ SV25 @ SV200 ) ) )
| ~ ~ ( member_a @ SV25 @ SV200 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1636,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1637,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1638,plain,
! [SV25: a,SV160: set_a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV199 ) )
| ~ ~ ( member_a @ SV130 @ SV199 ) )
| ( SV160
!= ( insert_a @ SV25 @ SV199 ) ) )
| ~ ~ ( member_a @ SV25 @ SV199 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1617]) ).
thf(1639,plain,
! [SV175: a,SV180: a,SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ~ ( ( SV34
!= ( sK27_SY422 @ SV93 @ SV180 @ SV175 @ SV34 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK26_SY345 @ SV175 @ SV180 @ SV93 @ SV34 ) @ ( sK27_SY422 @ SV93 @ SV180 @ SV175 @ SV34 ) ) @ SV93 ) ) )
= $false )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1618]) ).
thf(1640,plain,
! [SV42: set_a,SV172: a,SV100: set_Product_prod_a_a,SV139: a,SV164: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1619]) ).
thf(1641,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1621]) ).
thf(1642,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1622]) ).
thf(1643,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1623]) ).
thf(1644,plain,
! [SV46: a,SV103: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV46 @ SV103 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV103 @ SV46 ) @ relation )
= $true )
| ( ( member_a @ SV46 @ carrier )
= $false )
| ( ( member_a @ SV103 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1625]) ).
thf(1645,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV195: a,SV190: a] :
( ( ( SV190 = SV195 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV190 @ SV195 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV195 @ SV190 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV195 @ SV76 )
= $false )
| ( ( member_a @ SV190 @ SV76 )
= $false )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1627]) ).
thf(1646,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV198: a,SV194: a] :
( ( ( ~ ( ( SV194 != SV198 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV194 @ SV198 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV198 @ SV194 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV198 @ SV76 )
= $false )
| ( ( member_a @ SV194 @ SV76 )
= $false )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1628]) ).
thf(1647,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV196: a,SV192: a] :
( ( ( SV192 != SV196 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV192 @ SV196 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV196 @ SV192 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV196 @ SV76 )
= $false )
| ( ( member_a @ SV192 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1629]) ).
thf(1648,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV197: a,SV193: a] :
( ( ( SV193 != SV197 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV193 @ SV197 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV197 @ SV193 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV197 @ SV76 )
= $false )
| ( ( member_a @ SV193 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1630]) ).
thf(1649,plain,
! [SV21: a,SV81: a,SV128: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1631]) ).
thf(1650,plain,
! [SV81: a,SV21: a,SV128: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1632]) ).
thf(1651,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1633]) ).
thf(1652,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1653,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1654,plain,
! [SV25: a,SV160: set_a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV200 ) )
| ~ ~ ( member_a @ SV130 @ SV200 ) )
| ( SV160
!= ( insert_a @ SV25 @ SV200 ) ) )
| ~ ~ ( member_a @ SV25 @ SV200 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1635]) ).
thf(1655,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1636]) ).
thf(1656,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1637]) ).
thf(1657,plain,
! [SV25: a,SV160: set_a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV199 ) )
| ~ ~ ( member_a @ SV130 @ SV199 ) )
| ( SV160
!= ( insert_a @ SV25 @ SV199 ) ) ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV199 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1638]) ).
thf(1658,plain,
! [SV175: a,SV180: a,SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ~ ( ( SV34
!= ( sK27_SY422 @ SV93 @ SV180 @ SV175 @ SV34 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK26_SY345 @ SV175 @ SV180 @ SV93 @ SV34 ) @ ( sK27_SY422 @ SV93 @ SV180 @ SV175 @ SV34 ) ) @ SV93 ) ) )
= $true )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1639]) ).
thf(1659,plain,
! [SV42: set_a,SV164: a,SV100: set_Product_prod_a_a,SV172: a,SV139: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1640]) ).
thf(1660,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1642]) ).
thf(1661,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1643]) ).
thf(1662,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV195: a,SV190: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV190 @ SV195 ) @ SV157 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV195 @ SV190 ) @ SV157 )
= $true )
| ( ( SV190 = SV195 )
= $true )
| ( ( member_a @ SV195 @ SV76 )
= $false )
| ( ( member_a @ SV190 @ SV76 )
= $false )
| ( ( member_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1645]) ).
thf(1663,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV198: a,SV194: a] :
( ( ( SV194 != SV198 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV194 @ SV198 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV198 @ SV194 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV198 @ SV76 )
= $false )
| ( ( member_a @ SV194 @ SV76 )
= $false )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1646]) ).
thf(1664,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV196: a,SV192: a] :
( ( ( SV192 = SV196 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV192 @ SV196 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV196 @ SV192 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV196 @ SV76 )
= $false )
| ( ( member_a @ SV192 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1647]) ).
thf(1665,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV197: a,SV193: a] :
( ( ( SV193 = SV197 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV193 @ SV197 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV197 @ SV193 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV197 @ SV76 )
= $false )
| ( ( member_a @ SV193 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1648]) ).
thf(1666,plain,
! [SV21: a,SV81: a,SV128: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1649]) ).
thf(1667,plain,
! [SV21: a,SV128: a,SV81: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1649]) ).
thf(1668,plain,
! [SV21: a,SV81: a,SV128: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1650]) ).
thf(1669,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1651]) ).
thf(1670,plain,
! [SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1652]) ).
thf(1671,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1653]) ).
thf(1672,plain,
! [SV25: a,SV160: set_a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV200 ) )
| ~ ~ ( member_a @ SV130 @ SV200 ) )
| ( SV160
!= ( insert_a @ SV25 @ SV200 ) ) ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV200 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1654]) ).
thf(1673,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1656]) ).
thf(1674,plain,
! [SV25: a,SV160: set_a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV199 ) )
| ~ ~ ( member_a @ SV130 @ SV199 ) )
| ( SV160
!= ( insert_a @ SV25 @ SV199 ) ) ) )
= $false )
| ( ( ~ ~ ( member_a @ SV25 @ SV199 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1657]) ).
thf(1675,plain,
! [SV175: a,SV180: a,SV93: set_Product_prod_a_a,SV34: a] :
( ( ( ( SV34
!= ( sK27_SY422 @ SV93 @ SV180 @ SV175 @ SV34 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK26_SY345 @ SV175 @ SV180 @ SV93 @ SV34 ) @ ( sK27_SY422 @ SV93 @ SV180 @ SV175 @ SV34 ) ) @ SV93 ) )
= $false )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1658]) ).
thf(1676,plain,
! [SV42: set_a,SV164: a,SV100: set_Product_prod_a_a,SV172: a,SV139: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1659]) ).
thf(1677,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1661]) ).
thf(1678,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1661]) ).
thf(1679,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV198: a,SV194: a] :
( ( ( SV194 = SV198 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV194 @ SV198 ) @ SV157 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV198 @ SV194 ) @ SV157 ) )
= $true )
| ( ( member_a @ SV198 @ SV76 )
= $false )
| ( ( member_a @ SV194 @ SV76 )
= $false )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1663]) ).
thf(1680,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV196: a,SV192: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV192 @ SV196 ) @ SV157 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV196 @ SV192 ) @ SV157 )
= $true )
| ( ( SV192 = SV196 )
= $true )
| ( ( member_a @ SV196 @ SV76 )
= $false )
| ( ( member_a @ SV192 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK15_SY403 @ SV157 @ SV76 ) @ ( sK19_SY414 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1664]) ).
thf(1681,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV197: a,SV193: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV193 @ SV197 ) @ SV157 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV197 @ SV193 ) @ SV157 )
= $true )
| ( ( SV193 = SV197 )
= $true )
| ( ( member_a @ SV197 @ SV76 )
= $false )
| ( ( member_a @ SV193 @ SV76 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK19_SY414 @ SV157 @ SV76 ) @ ( sK15_SY403 @ SV157 @ SV76 ) ) @ SV157 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1665]) ).
thf(1682,plain,
! [SV21: a,SV81: a,SV128: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1666]) ).
thf(1683,plain,
! [SV21: a,SV128: a,SV81: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1684,plain,
! [SV21: a,SV81: a,SV128: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1668]) ).
thf(1685,plain,
! [SV21: a,SV128: a,SV81: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1668]) ).
thf(1686,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1669]) ).
thf(1687,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1671]) ).
thf(1688,plain,
! [SV25: a,SV160: set_a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV200 ) )
| ~ ~ ( member_a @ SV130 @ SV200 ) )
| ( SV160
!= ( insert_a @ SV25 @ SV200 ) ) ) )
= $false )
| ( ( ~ ~ ( member_a @ SV25 @ SV200 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1689,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1690,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1691,plain,
! [SV25: a,SV160: set_a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV199 ) )
| ~ ~ ( member_a @ SV130 @ SV199 ) )
| ( SV160
!= ( insert_a @ SV25 @ SV199 ) ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV199 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1674]) ).
thf(1692,plain,
! [SV175: a,SV180: a,SV93: set_Product_prod_a_a,SV34: a] :
( ( ( SV34
!= ( sK27_SY422 @ SV93 @ SV180 @ SV175 @ SV34 ) )
= $false )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1693,plain,
! [SV34: a,SV93: set_Product_prod_a_a,SV180: a,SV175: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK26_SY345 @ SV175 @ SV180 @ SV93 @ SV34 ) @ ( sK27_SY422 @ SV93 @ SV180 @ SV175 @ SV34 ) ) @ SV93 ) )
= $false )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1694,plain,
! [SV42: set_a,SV164: a,SV100: set_Product_prod_a_a,SV172: a,SV139: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1676]) ).
thf(1695,plain,
! [SV42: set_a,SV164: a,SV100: set_Product_prod_a_a,SV139: a,SV172: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1676]) ).
thf(1696,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV165: a,SV140: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1697,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1678]) ).
thf(1698,plain,
! [SV76: set_a,SV157: set_Product_prod_a_a,SV198: a,SV194: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV194 @ SV198 ) @ SV157 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV198 @ SV194 ) @ SV157 )
= $true )
| ( ( SV194 = SV198 )
= $true )
| ( ( member_a @ SV198 @ SV76 )
= $false )
| ( ( member_a @ SV194 @ SV76 )
= $false )
| ( ( ( sK15_SY403 @ SV157 @ SV76 )
= ( sK19_SY414 @ SV157 @ SV76 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1679]) ).
thf(1699,plain,
! [SV21: a,SV128: a,SV81: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV128 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1683]) ).
thf(1700,plain,
! [SV21: a,SV81: a,SV128: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV81 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1684]) ).
thf(1701,plain,
! [SV21: a,SV128: a,SV81: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1685]) ).
thf(1702,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1686]) ).
thf(1703,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV25: a] :
( ( ( ~ ~ ( member_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1686]) ).
thf(1704,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1687]) ).
thf(1705,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1687]) ).
thf(1706,plain,
! [SV25: a,SV160: set_a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV200 ) )
| ~ ~ ( member_a @ SV130 @ SV200 ) )
| ( SV160
!= ( insert_a @ SV25 @ SV200 ) ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV200 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1707,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1708,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1690]) ).
thf(1709,plain,
! [SV25: a,SV160: set_a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV199 ) )
| ~ ~ ( member_a @ SV130 @ SV199 ) ) )
= $true )
| ( ( SV160
!= ( insert_a @ SV25 @ SV199 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV199 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1691]) ).
thf(1710,plain,
! [SV175: a,SV180: a,SV93: set_Product_prod_a_a,SV34: a] :
( ( ( SV34
= ( sK27_SY422 @ SV93 @ SV180 @ SV175 @ SV34 ) )
= $true )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1692]) ).
thf(1711,plain,
! [SV34: a,SV93: set_Product_prod_a_a,SV180: a,SV175: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK26_SY345 @ SV175 @ SV180 @ SV93 @ SV34 ) @ ( sK27_SY422 @ SV93 @ SV180 @ SV175 @ SV34 ) ) @ SV93 )
= $true )
| ( ( SV34 = SV180 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV175 @ SV180 ) @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1693]) ).
thf(1712,plain,
! [SV42: set_a,SV164: a,SV100: set_Product_prod_a_a,SV172: a,SV139: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1694]) ).
thf(1713,plain,
! [SV42: set_a,SV164: a,SV100: set_Product_prod_a_a,SV139: a,SV172: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1695]) ).
thf(1714,plain,
! [SV43: set_a,SV101: set_Product_prod_a_a,SV140: a,SV165: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV140 @ SV165 ) @ SV101 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV165 @ SV140 ) @ SV101 )
= $true )
| ( ( member_a @ SV140 @ SV43 )
= $false )
| ( ( member_a @ SV165 @ SV43 )
= $false )
| ( ( prefer719835986ence_a @ SV43 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1697]) ).
thf(1715,plain,
! [SV21: a,SV128: a,SV81: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV128 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV128 @ SV21 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV21 @ SV81 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV81 @ SV21 ) @ relation )
= $true )
| ( ( member_a @ SV81 @ carrier )
= $false )
| ( ( member_a @ SV21 @ carrier )
= $false )
| ( ( member_a @ SV128 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1701]) ).
thf(1716,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1702]) ).
thf(1717,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV25: a] :
( ( ( ~ ( member_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1703]) ).
thf(1718,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1704]) ).
thf(1719,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1705]) ).
thf(1720,plain,
! [SV25: a,SV160: set_a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SV200 ) )
| ~ ~ ( member_a @ SV130 @ SV200 ) ) )
= $true )
| ( ( SV160
!= ( insert_a @ SV25 @ SV200 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV200 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1706]) ).
thf(1721,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 != SV130 )
= $true )
| ( ( SV84 = SV160 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1707]) ).
thf(1722,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) ) )
= $true )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1708]) ).
thf(1723,plain,
! [SV25: a,SV160: set_a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ( ( SV84
!= ( insert_a @ SV130 @ SV199 ) )
| ~ ~ ( member_a @ SV130 @ SV199 ) ) )
= $false )
| ( ( SV160
!= ( insert_a @ SV25 @ SV199 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV199 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1724,plain,
! [SV42: set_a,SV139: a,SV100: set_Product_prod_a_a,SV164: a,SV172: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1712]) ).
thf(1725,plain,
! [SV42: set_a,SV164: a,SV100: set_Product_prod_a_a,SV139: a,SV172: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1713]) ).
thf(1726,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1716]) ).
thf(1727,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV25: a] :
( ( ( member_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1717]) ).
thf(1728,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 != SV130 )
= $true )
| ( ( SV84 = SV160 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1718]) ).
thf(1729,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) ) )
= $true )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1719]) ).
thf(1730,plain,
! [SV25: a,SV160: set_a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ( ( SV84
!= ( insert_a @ SV130 @ SV200 ) )
| ~ ~ ( member_a @ SV130 @ SV200 ) ) )
= $false )
| ( ( SV160
!= ( insert_a @ SV25 @ SV200 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV200 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1731,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 = SV130 )
= $false )
| ( ( SV84 = SV160 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1721]) ).
thf(1732,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 != SV130 )
= $false )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1733,plain,
! [SV25: a,SV160: set_a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ( SV84
!= ( insert_a @ SV130 @ SV199 ) )
| ~ ~ ( member_a @ SV130 @ SV199 ) )
= $true )
| ( ( SV160
!= ( insert_a @ SV25 @ SV199 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV199 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1723]) ).
thf(1734,plain,
! [SV42: set_a,SV139: a,SV100: set_Product_prod_a_a,SV164: a,SV172: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1735,plain,
! [SV42: set_a,SV139: a,SV100: set_Product_prod_a_a,SV172: a,SV164: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1736,plain,
! [SV42: set_a,SV139: a,SV100: set_Product_prod_a_a,SV164: a,SV172: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1725]) ).
thf(1737,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1726]) ).
thf(1738,plain,
! [SV84: set_a,SV130: a,SV25: a,SV160: set_a] :
( ( ( SV160
!= ( insert_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1726]) ).
thf(1739,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 = SV130 )
= $false )
| ( ( SV84 = SV160 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1728]) ).
thf(1740,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 != SV130 )
= $false )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(1741,plain,
! [SV25: a,SV160: set_a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ( SV84
!= ( insert_a @ SV130 @ SV200 ) )
| ~ ~ ( member_a @ SV130 @ SV200 ) )
= $true )
| ( ( SV160
!= ( insert_a @ SV25 @ SV200 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV200 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1730]) ).
thf(1742,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 = SV130 )
= $true )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1732]) ).
thf(1743,plain,
! [SV25: a,SV160: set_a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( SV84
!= ( insert_a @ SV130 @ SV199 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV130 @ SV199 ) )
= $true )
| ( ( SV160
!= ( insert_a @ SV25 @ SV199 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV199 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1733]) ).
thf(1744,plain,
! [SV42: set_a,SV139: a,SV100: set_Product_prod_a_a,SV164: a,SV172: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1734]) ).
thf(1745,plain,
! [SV42: set_a,SV139: a,SV100: set_Product_prod_a_a,SV172: a,SV164: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1735]) ).
thf(1746,plain,
! [SV42: set_a,SV139: a,SV100: set_Product_prod_a_a,SV164: a,SV172: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1736]) ).
thf(1747,plain,
! [SV42: set_a,SV139: a,SV100: set_Product_prod_a_a,SV172: a,SV164: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1736]) ).
thf(1748,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1737]) ).
thf(1749,plain,
! [SV84: set_a,SV130: a,SV25: a,SV160: set_a] :
( ( ( SV160
= ( insert_a @ SV25 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1738]) ).
thf(1750,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 = SV130 )
= $true )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1740]) ).
thf(1751,plain,
! [SV25: a,SV160: set_a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( SV84
!= ( insert_a @ SV130 @ SV200 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV130 @ SV200 ) )
= $true )
| ( ( SV160
!= ( insert_a @ SV25 @ SV200 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV200 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1741]) ).
thf(1752,plain,
! [SV25: a,SV160: set_a,SV130: a,SV84: set_a] :
( ( ( ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1742]) ).
thf(1753,plain,
! [SV25: a,SV160: set_a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( ~ ~ ( member_a @ SV130 @ SV199 ) )
= $true )
| ( ( SV160
!= ( insert_a @ SV25 @ SV199 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV199 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1743]) ).
thf(1754,plain,
! [SV42: set_a,SV139: a,SV100: set_Product_prod_a_a,SV172: a,SV164: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV172 ) @ SV100 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1745]) ).
thf(1755,plain,
! [SV42: set_a,SV139: a,SV100: set_Product_prod_a_a,SV164: a,SV172: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV164 ) @ SV100 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1746]) ).
thf(1756,plain,
! [SV42: set_a,SV139: a,SV100: set_Product_prod_a_a,SV172: a,SV164: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1747]) ).
thf(1757,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ( SV84
!= ( insert_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1748]) ).
thf(1758,plain,
! [SV25: a,SV160: set_a,SV130: a,SV84: set_a] :
( ( ( ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1750]) ).
thf(1759,plain,
! [SV25: a,SV160: set_a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( ~ ~ ( member_a @ SV130 @ SV200 ) )
= $true )
| ( ( SV160
!= ( insert_a @ SV25 @ SV200 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV200 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1751]) ).
thf(1760,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1752]) ).
thf(1761,plain,
! [SV25: a,SV160: set_a,SV84: set_a,SV199: set_a,SV130: a] :
( ( ( ~ ( member_a @ SV130 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( SV160
!= ( insert_a @ SV25 @ SV199 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV199 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1753]) ).
thf(1762,plain,
! [SV42: set_a,SV139: a,SV100: set_Product_prod_a_a,SV172: a,SV164: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV172 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV172 @ SV139 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV139 @ SV164 ) @ SV100 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV164 @ SV139 ) @ SV100 )
= $true )
| ( ( member_a @ SV164 @ SV42 )
= $false )
| ( ( member_a @ SV139 @ SV42 )
= $false )
| ( ( member_a @ SV172 @ SV42 )
= $false )
| ( ( prefer719835986ence_a @ SV42 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1756]) ).
thf(1763,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( SV84
!= ( insert_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1757]) ).
thf(1764,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV130: a] :
( ( ( ~ ~ ( member_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1757]) ).
thf(1765,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1758]) ).
thf(1766,plain,
! [SV25: a,SV160: set_a,SV84: set_a,SV200: set_a,SV130: a] :
( ( ( ~ ( member_a @ SV130 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( SV160
!= ( insert_a @ SV25 @ SV200 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV200 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1759]) ).
thf(1767,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1760]) ).
thf(1768,plain,
! [SV25: a,SV160: set_a,SV84: set_a,SV199: set_a,SV130: a] :
( ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( SV160
!= ( insert_a @ SV25 @ SV199 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV199 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1761]) ).
thf(1769,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( SV84
= ( insert_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1763]) ).
thf(1770,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV130: a] :
( ( ( ~ ( member_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(1771,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1772,plain,
! [SV25: a,SV160: set_a,SV84: set_a,SV200: set_a,SV130: a] :
( ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( SV160
!= ( insert_a @ SV25 @ SV200 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV200 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1766]) ).
thf(1773,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1767]) ).
thf(1774,plain,
! [SV130: a,SV84: set_a,SV199: set_a,SV25: a,SV160: set_a] :
( ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV199 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1768]) ).
thf(1775,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV130: a] :
( ( ( member_a @ SV130 @ ( sK28_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1770]) ).
thf(1776,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1771]) ).
thf(1777,plain,
! [SV130: a,SV84: set_a,SV200: set_a,SV25: a,SV160: set_a] :
( ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( ~ ~ ( member_a @ SV25 @ SV200 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1772]) ).
thf(1778,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1773]) ).
thf(1779,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV25: a] :
( ( ( ~ ~ ( member_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1773]) ).
thf(1780,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV199: set_a,SV25: a] :
( ( ( ~ ( member_a @ SV25 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1774]) ).
thf(1781,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1776]) ).
thf(1782,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV25: a] :
( ( ( ~ ~ ( member_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1776]) ).
thf(1783,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV200: set_a,SV25: a] :
( ( ( ~ ( member_a @ SV25 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1777]) ).
thf(1784,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1778]) ).
thf(1785,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV25: a] :
( ( ( ~ ( member_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1779]) ).
thf(1786,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV199: set_a,SV25: a] :
( ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1780]) ).
thf(1787,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1781]) ).
thf(1788,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV25: a] :
( ( ( ~ ( member_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1782]) ).
thf(1789,plain,
! [SV160: set_a,SV84: set_a,SV130: a,SV200: set_a,SV25: a] :
( ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1783]) ).
thf(1790,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1784]) ).
thf(1791,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV25: a] :
( ( ( member_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1785]) ).
thf(1792,plain,
! [SV199: set_a,SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1786]) ).
thf(1793,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1787]) ).
thf(1794,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV25: a] :
( ( ( member_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1788]) ).
thf(1795,plain,
! [SV200: set_a,SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
| ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1789]) ).
thf(1796,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1790]) ).
thf(1797,plain,
! [SV84: set_a,SV130: a,SV25: a,SV160: set_a] :
( ( ( SV160
!= ( insert_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1790]) ).
thf(1798,plain,
! [SV199: set_a,SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1792]) ).
thf(1799,plain,
! [SV199: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1792]) ).
thf(1800,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1793]) ).
thf(1801,plain,
! [SV84: set_a,SV130: a,SV25: a,SV160: set_a] :
( ( ( SV160
!= ( insert_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1793]) ).
thf(1802,plain,
! [SV200: set_a,SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( insert_a @ SV25 @ SV84 )
!= ( insert_a @ SV130 @ SV160 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1795]) ).
thf(1803,plain,
! [SV200: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1795]) ).
thf(1804,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1796]) ).
thf(1805,plain,
! [SV84: set_a,SV130: a,SV25: a,SV160: set_a] :
( ( ( SV160
= ( insert_a @ SV25 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1797]) ).
thf(1806,plain,
! [SV199: set_a,SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1798]) ).
thf(1807,plain,
! [SV199: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1799]) ).
thf(1808,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1800]) ).
thf(1809,plain,
! [SV84: set_a,SV130: a,SV25: a,SV160: set_a] :
( ( ( SV160
= ( insert_a @ SV25 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1801]) ).
thf(1810,plain,
! [SV200: set_a,SV160: set_a,SV130: a,SV84: set_a,SV25: a] :
( ( ( ( insert_a @ SV25 @ SV84 )
= ( insert_a @ SV130 @ SV160 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1802]) ).
thf(1811,plain,
! [SV200: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1803]) ).
thf(1812,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ( SV84
!= ( insert_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1804]) ).
thf(1813,plain,
! [SV199: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1807]) ).
thf(1814,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( ( SV84
!= ( insert_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1808]) ).
thf(1815,plain,
! [SV200: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
| ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1811]) ).
thf(1816,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( SV84
!= ( insert_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1812]) ).
thf(1817,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV130: a] :
( ( ( ~ ~ ( member_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1812]) ).
thf(1818,plain,
! [SV199: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1813]) ).
thf(1819,plain,
! [SV199: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $false )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1813]) ).
thf(1820,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( SV84
!= ( insert_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1814]) ).
thf(1821,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV130: a] :
( ( ( ~ ~ ( member_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1814]) ).
thf(1822,plain,
! [SV200: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 )
| ( SV84 = SV160 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1815]) ).
thf(1823,plain,
! [SV200: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1815]) ).
thf(1824,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( SV84
= ( insert_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1816]) ).
thf(1825,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV130: a] :
( ( ( ~ ( member_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1817]) ).
thf(1826,plain,
! [SV199: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1818]) ).
thf(1827,plain,
! [SV199: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1819]) ).
thf(1828,plain,
! [SV160: set_a,SV25: a,SV130: a,SV84: set_a] :
( ( ( SV84
= ( insert_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1820]) ).
thf(1829,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV130: a] :
( ( ( ~ ( member_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1821]) ).
thf(1830,plain,
! [SV200: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ( SV25 != SV130 )
| ( SV84 = SV160 ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1822]) ).
thf(1831,plain,
! [SV200: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) )
| ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1823]) ).
thf(1832,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV130: a] :
( ( ( member_a @ SV130 @ ( sK29_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1825]) ).
thf(1833,plain,
! [SV199: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 != SV130 )
= $true )
| ( ( SV84 = SV160 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1826]) ).
thf(1834,plain,
! [SV199: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) ) )
= $true )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1827]) ).
thf(1835,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV130: a] :
( ( ( member_a @ SV130 @ ( sK30_SY405 @ SV25 @ SV160 @ SV130 @ SV84 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $false )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1829]) ).
thf(1836,plain,
! [SV200: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 != SV130 )
= $true )
| ( ( SV84 = SV160 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1830]) ).
thf(1837,plain,
! [SV200: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( ~ ( ( SV25 != SV130 ) ) )
= $true )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1831]) ).
thf(1838,plain,
! [SV199: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 = SV130 )
= $false )
| ( ( SV84 = SV160 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1833]) ).
thf(1839,plain,
! [SV199: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 != SV130 )
= $false )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1834]) ).
thf(1840,plain,
! [SV200: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 = SV130 )
= $false )
| ( ( SV84 = SV160 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1836]) ).
thf(1841,plain,
! [SV200: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 != SV130 )
= $false )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1837]) ).
thf(1842,plain,
! [SV199: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 = SV130 )
= $true )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1839]) ).
thf(1843,plain,
! [SV200: set_a,SV160: set_a,SV84: set_a,SV130: a,SV25: a] :
( ( ( SV25 = SV130 )
= $true )
| ( ( ~ ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1841]) ).
thf(1844,plain,
! [SV199: set_a,SV25: a,SV160: set_a,SV130: a,SV84: set_a] :
( ( ( ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1842]) ).
thf(1845,plain,
! [SV200: set_a,SV25: a,SV160: set_a,SV130: a,SV84: set_a] :
( ( ( ! [SY405: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ SY405 ) )
| ~ ~ ( member_a @ SV130 @ SY405 ) )
| ( SV160
!= ( insert_a @ SV25 @ SY405 ) ) )
| ~ ~ ( member_a @ SV25 @ SY405 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1843]) ).
thf(1846,plain,
! [SV160: set_a,SV25: a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1844]) ).
thf(1847,plain,
! [SV160: set_a,SV25: a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1845]) ).
thf(1848,plain,
! [SV160: set_a,SV25: a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1846]) ).
thf(1849,plain,
! [SV160: set_a,SV25: a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1847]) ).
thf(1850,plain,
! [SV160: set_a,SV25: a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1848]) ).
thf(1851,plain,
! [SV160: set_a,SV25: a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
| ~ ~ ( member_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(1852,plain,
! [SV160: set_a,SV25: a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1850]) ).
thf(1853,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV199: set_a,SV25: a] :
( ( ( ~ ~ ( member_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1850]) ).
thf(1854,plain,
! [SV160: set_a,SV25: a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1851]) ).
thf(1855,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV200: set_a,SV25: a] :
( ( ( ~ ~ ( member_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1851]) ).
thf(1856,plain,
! [SV160: set_a,SV25: a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1852]) ).
thf(1857,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV199: set_a,SV25: a] :
( ( ( ~ ( member_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1853]) ).
thf(1858,plain,
! [SV160: set_a,SV25: a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1854]) ).
thf(1859,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV200: set_a,SV25: a] :
( ( ( ~ ( member_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1855]) ).
thf(1860,plain,
! [SV160: set_a,SV25: a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1856]) ).
thf(1861,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV199: set_a,SV25: a] :
( ( ( member_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(1862,plain,
! [SV160: set_a,SV25: a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ( SV160
!= ( insert_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1858]) ).
thf(1863,plain,
! [SV84: set_a,SV130: a,SV160: set_a,SV200: set_a,SV25: a] :
( ( ( member_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1859]) ).
thf(1864,plain,
! [SV160: set_a,SV25: a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1860]) ).
thf(1865,plain,
! [SV84: set_a,SV130: a,SV199: set_a,SV25: a,SV160: set_a] :
( ( ( SV160
!= ( insert_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1860]) ).
thf(1866,plain,
! [SV160: set_a,SV25: a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1862]) ).
thf(1867,plain,
! [SV84: set_a,SV130: a,SV200: set_a,SV25: a,SV160: set_a] :
( ( ( SV160
!= ( insert_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1862]) ).
thf(1868,plain,
! [SV160: set_a,SV25: a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1864]) ).
thf(1869,plain,
! [SV84: set_a,SV130: a,SV199: set_a,SV25: a,SV160: set_a] :
( ( ( SV160
= ( insert_a @ SV25 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1865]) ).
thf(1870,plain,
! [SV160: set_a,SV25: a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ~ ( ( SV84
!= ( insert_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1866]) ).
thf(1871,plain,
! [SV84: set_a,SV130: a,SV200: set_a,SV25: a,SV160: set_a] :
( ( ( SV160
= ( insert_a @ SV25 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1867]) ).
thf(1872,plain,
! [SV160: set_a,SV25: a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( ( SV84
!= ( insert_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1868]) ).
thf(1873,plain,
! [SV160: set_a,SV25: a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( ( SV84
!= ( insert_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
| ~ ~ ( member_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1870]) ).
thf(1874,plain,
! [SV160: set_a,SV25: a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( SV84
!= ( insert_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(1875,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV199: set_a,SV130: a] :
( ( ( ~ ~ ( member_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(1876,plain,
! [SV160: set_a,SV25: a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( SV84
!= ( insert_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1873]) ).
thf(1877,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV200: set_a,SV130: a] :
( ( ( ~ ~ ( member_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1873]) ).
thf(1878,plain,
! [SV160: set_a,SV25: a,SV199: set_a,SV130: a,SV84: set_a] :
( ( ( SV84
= ( insert_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1874]) ).
thf(1879,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV199: set_a,SV130: a] :
( ( ( ~ ( member_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1875]) ).
thf(1880,plain,
! [SV160: set_a,SV25: a,SV200: set_a,SV130: a,SV84: set_a] :
( ( ( SV84
= ( insert_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1876]) ).
thf(1881,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV200: set_a,SV130: a] :
( ( ( ~ ( member_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) ) )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1877]) ).
thf(1882,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV199: set_a,SV130: a] :
( ( ( member_a @ SV130 @ ( sK31_SY405 @ SV199 @ SV25 @ SV160 @ SV130 @ SV84 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV84 = SV160 )
= $false )
| ( ( SV160
= ( insert_a @ SV25 @ SV199 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV199 ) )
= $false )
| ( ( member_a @ SV130 @ SV199 )
= $true )
| ( ( member_a @ SV25 @ SV199 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(1883,plain,
! [SV84: set_a,SV160: set_a,SV25: a,SV200: set_a,SV130: a] :
( ( ( member_a @ SV130 @ ( sK32_SY405 @ SV200 @ SV25 @ SV160 @ SV130 @ SV84 ) )
= $false )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV25 = SV130 )
= $true )
| ( ( SV160
= ( insert_a @ SV25 @ SV200 ) )
= $false )
| ( ( SV84
= ( insert_a @ SV130 @ SV200 ) )
= $false )
| ( ( member_a @ SV130 @ SV200 )
= $true )
| ( ( member_a @ SV25 @ SV200 )
= $true )
| ( ( member_a @ SV130 @ SV160 )
= $true )
| ( ( member_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1881]) ).
thf(1884,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[437,1883,1882,1880,1878,1871,1869,1863,1861,1840,1838,1835,1832,1828,1824,1810,1809,1806,1805,1794,1791,1775,1769,1762,1755,1754,1749,1744,1739,1731,1727,1715,1714,1711,1710,1700,1699,1698,1696,1682,1681,1680,1670,1662,1660,1655,1644,1641,1626,1624,1620,1593,1585,1582,1567,1566,1563,1541,1535,1514,1513,1505,1500,1499,1498,1495,1491,1490,1489,1485,1482,1479,1477,1467,1466,1465,1464,1455,1451,1439,1423,1403,1402,1394,1390,1389,1384,1383,1380,1373,1370,1369,1368,1367,1363,1362,1356,1351,1350,1347,1340,1318,1317,1306,1305,1286,1285,1284,1283,1282,1281,1280,1259,1253,1252,1251,1250,1247,1245,1241,1239,1237,1235,1234,1228,1222,1221,1217,1210,1197,1195,1194,1191,1189,1187,1178,1177,1171,1170,1169,1154,1145,1140,1134,1120,1119,1118,1117,1116,1111,1110,1109,1108,1104,1103,1102,1101,1098,1097,1088,1087,1086,1085,1082,1067,1063,1039,1031,1027,1025,1018,1011,1010,1006,993,992,991,984,983,963,953,948,922,888,881,879,876,873,868,857,856,854,839,838,832,817,813,791,785,749,747,745,743,734,733,721,718,716,713,710,709,694,648,644,643,641,606,603,582,579,575,573,567,441,440,439,438]) ).
thf(1885,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
& ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(1886,plain,
( ( prefer719835986ence_a @ carrier @ relation )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(1887,plain,
( ( prefer1292084992ence_a @ carrier @ relation )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(1888,plain,
( ( order_preorder_on_a @ carrier @ relation )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(1889,plain,
( ( total_on_a @ carrier @ relation )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(1890,plain,
( ( refl_on_a @ carrier @ relation )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(1891,plain,
( ( ! [X: a] :
( ( member_a @ X @ carrier )
=> ! [Xa: a] :
( ( member_a @ Xa @ carrier )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X @ Xa ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Xa @ X ) @ relation ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(1892,plain,
( ( ! [X2: a,Y: a] :
( ( member_a @ X2 @ carrier )
=> ( ( member_a @ Y @ carrier )
=> ( ( X2 != Y )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(1893,plain,
( ( ! [X2: a,Y: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
=> ( member_a @ X2 @ carrier ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(1894,plain,
( ( ! [X2: a,Y: a,Z: a] :
( ( ( member_a @ X2 @ carrier )
& ( member_a @ Y @ carrier )
& ( member_a @ Z @ carrier ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ X2 ) @ relation ) )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ Y ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ relation ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(1895,plain,
( ( ! [X2: a,Y: a,Z: a] :
( ( ( member_a @ X2 @ carrier )
& ( member_a @ Y @ carrier )
& ( member_a @ Z @ carrier ) )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ relation )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ relation ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(1896,plain,
( ( ! [X2: a,Y: a] :
( ( ( member_a @ X2 @ carrier )
& ( member_a @ Y @ carrier ) )
=> ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) )
= ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ relation ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(1897,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a] :
( ( prefer1292084992ence_a @ Carrier @ Relation )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
=> ( member_a @ X2 @ Carrier ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(1898,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ! [X: a] :
( ( member_a @ X @ Carrier )
=> ! [Xa: a] :
( ( member_a @ Xa @ Carrier )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X @ Xa ) @ Relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Xa @ X ) @ Relation ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(1899,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( member_a @ X2 @ Carrier )
=> ( ( member_a @ Y @ Carrier )
=> ( ( X2 != Y )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(1900,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a,Z: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( ( member_a @ X2 @ Carrier )
& ( member_a @ Y @ Carrier )
& ( member_a @ Z @ Carrier ) )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ Relation )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ Relation ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(1901,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( ( member_a @ X2 @ Carrier )
& ( member_a @ Y @ Carrier ) )
=> ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) )
= ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(1902,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a,Y: a,Z: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( ( member_a @ X2 @ Carrier )
& ( member_a @ Y @ Carrier )
& ( member_a @ Z @ Carrier ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ X2 ) @ Relation ) )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Z ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ X2 ) @ Relation ) )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ Y ) @ Relation )
& ~ ( member449909584od_a_a @ ( product_Pair_a_a @ Y @ Z ) @ Relation ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(1903,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a] :
( ! [X4: a,Y3: a] :
( ( member_a @ X4 @ A3 )
=> ( ( member_a @ Y3 @ A3 )
=> ( ( X4 != Y3 )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X4 @ Y3 ) @ R )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y3 @ X4 ) @ R ) ) ) ) )
=> ( total_on_a @ A3 @ R ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(1904,plain,
( ( total_on_a
= ( ^ [A4: set_a,R2: set_Product_prod_a_a] :
! [X3: a] :
( ( member_a @ X3 @ A4 )
=> ! [Y2: a] :
( ( member_a @ Y2 @ A4 )
=> ( ( X3 != Y2 )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X3 @ Y2 ) @ R2 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ Y2 @ X3 ) @ R2 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(1905,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a,A: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member_a @ A @ A3 )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ A @ A ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(1906,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a,X2: a,Y: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ R )
=> ( member_a @ X2 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(1907,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a,X2: a,Y: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ R )
=> ( member_a @ Y @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(1908,plain,
( ( ! [A3: set_a,R: set_Product_prod_a_a,A: a,B: a] :
( ( refl_on_a @ A3 @ R )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ A @ B ) @ R )
=> ( ( member_a @ A @ A3 )
& ( member_a @ B @ A3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(1909,plain,
( ( ! [Z: a,Y: a,B3: set_a,Pr: set_Product_prod_a_a] :
( ( member_a @ Z @ ( prefer161218362good_a @ Y @ B3 @ Pr ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ Z @ Y ) @ Pr ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(1910,plain,
( ( ! [X2: a,Y: a,B3: set_a,Pr: set_Product_prod_a_a] :
( ( member_a @ X2 @ ( prefer161218362good_a @ Y @ B3 @ Pr ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ Pr ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(1911,plain,
( ( ! [A: a,P: a > $o] :
( ( member_a @ A @ ( collect_a @ P ) )
= ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(1912,plain,
( ( ! [A3: set_a] :
( ( collect_a
@ ^ [X3: a] : ( member_a @ X3 @ A3 ) )
= A3 ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(1913,plain,
( ( ! [X2: a] :
( ( carrier != bot_bot_set_a )
=> ( ( member_a @ X2 @ carrier )
=> ( ( prefer1676310729than_a @ X2 @ carrier @ relation )
!= bot_bot_set_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(1914,plain,
( ( ! [Y: a,X2: a] :
( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ Y @ carrier @ relation ) @ ( prefer1676310729than_a @ X2 @ carrier @ relation ) )
| ( ord_less_eq_set_a @ ( prefer1676310729than_a @ X2 @ carrier @ relation ) @ ( prefer1676310729than_a @ Y @ carrier @ relation ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(1915,plain,
( ( ! [Carrier: set_a,Relation: set_Product_prod_a_a,X2: a] :
( ( prefer719835986ence_a @ Carrier @ Relation )
=> ( ( Carrier != bot_bot_set_a )
=> ( ( member_a @ X2 @ Carrier )
=> ( ( prefer1676310729than_a @ X2 @ Carrier @ Relation )
!= bot_bot_set_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(1916,plain,
( ( ! [A3: set_a,B3: set_a] :
( ! [X4: a] :
( ( member_a @ X4 @ A3 )
=> ( member_a @ X4 @ B3 ) )
=> ( ord_less_eq_set_a @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(1917,plain,
( ( ! [C2: a] :
~ ( member_a @ C2 @ bot_bot_set_a ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(1918,plain,
( ( ! [A3: set_a] :
( ( ! [X3: a] :
~ ( member_a @ X3 @ A3 ) )
= ( A3 = bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(1919,plain,
( ( ! [A3: set_a] :
( ( ? [X3: a] : ( member_a @ X3 @ A3 ) )
= ( A3 != bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(1920,plain,
( ( ! [A3: set_a] :
( ! [Y3: a] :
~ ( member_a @ Y3 @ A3 )
=> ( A3 = bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(1921,plain,
( ( ! [A3: set_a,A: a] :
( ( A3 = bot_bot_set_a )
=> ~ ( member_a @ A @ A3 ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(1922,plain,
( ( ! [A: a] :
~ ( member_a @ A @ bot_bot_set_a ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(1923,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B5: set_a] :
! [T: a] :
( ( member_a @ T @ A4 )
=> ( member_a @ T @ B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(1924,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B5: set_a] :
! [X3: a] :
( ( member_a @ X3 @ A4 )
=> ( member_a @ X3 @ B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(1925,plain,
( ( ! [A3: set_a,B3: set_a,C2: a] :
( ( ord_less_eq_set_a @ A3 @ B3 )
=> ( ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(1926,plain,
( ( ! [A3: set_a,B3: set_a,X2: a] :
( ( ord_less_eq_set_a @ A3 @ B3 )
=> ( ( member_a @ X2 @ A3 )
=> ( member_a @ X2 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(1927,plain,
( ( ! [A3: set_a] :
( ! [X4: a] :
~ ( member_a @ X4 @ A3 )
=> ( ord_less_eq_set_a @ A3 @ bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(1928,plain,
( ( bot_bot_a_o
= ( ^ [X3: a] : ( member_a @ X3 @ bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(1929,plain,
( ( ! [A: a,A3: set_a] :
( ( member_a @ A @ A3 )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ A @ A ) @ ( id_on_a @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(1930,plain,
( ( ! [X2: a,Y: a,A3: set_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ ( id_on_a @ A3 ) )
= ( ( X2 = Y )
& ( member_a @ X2 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(1931,plain,
( ( ! [A: a,B: a,A3: set_a] :
( ( A = B )
=> ( ( member_a @ A @ A3 )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ A @ B ) @ ( id_on_a @ A3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(1932,plain,
( ( ! [C2: product_prod_a_a,A3: set_a] :
( ( member449909584od_a_a @ C2 @ ( id_on_a @ A3 ) )
=> ~ ! [X4: a] :
( ( member_a @ X4 @ A3 )
=> ( C2
!= ( product_Pair_a_a @ X4 @ X4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(1933,plain,
( ( ! [A: a,B: a,A3: set_a] :
( ( member_a @ A @ ( insert_a @ B @ A3 ) )
= ( ( A = B )
| ( member_a @ A @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(1934,plain,
( ( ! [A: a,B3: set_a,B: a] :
( ( ~ ( member_a @ A @ B3 )
=> ( A = B ) )
=> ( member_a @ A @ ( insert_a @ B @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(1935,plain,
( ( ! [A: a] : ( member_a @ A @ ( insert_a @ A @ bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(1936,plain,
( ( ! [X2: a,A3: set_a,B3: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ X2 @ A3 ) @ B3 )
= ( ( member_a @ X2 @ B3 )
& ( ord_less_eq_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(1937,plain,
( ( ! [X2: a,A3: set_a,X6: set_a] :
( ( member_a @ X2 @ A3 )
=> ( ( ord_less_eq_set_a @ X6 @ A3 )
=> ( ord_less_eq_set_a @ ( insert_a @ X2 @ X6 ) @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(1938,plain,
( ( ! [B: a,A: a] :
( ( member_a @ B @ ( insert_a @ A @ bot_bot_set_a ) )
= ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(1939,plain,
( ( ! [B: a,A: a] :
( ( member_a @ B @ ( insert_a @ A @ bot_bot_set_a ) )
=> ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(1940,plain,
( ( ! [X2: a,A3: set_a,B3: set_a] :
( ~ ( member_a @ X2 @ A3 )
=> ( ( ord_less_eq_set_a @ A3 @ ( insert_a @ X2 @ B3 ) )
= ( ord_less_eq_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(1941,plain,
( ( ! [A: a,A3: set_a] :
( ( member_a @ A @ A3 )
=> ? [B7: set_a] :
( ( A3
= ( insert_a @ A @ B7 ) )
& ~ ( member_a @ A @ B7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(1942,plain,
( ( ! [A: a,A3: set_a,B: a,B3: set_a] :
( ~ ( member_a @ A @ A3 )
=> ( ~ ( member_a @ B @ B3 )
=> ( ( ( insert_a @ A @ A3 )
= ( insert_a @ B @ B3 ) )
= ( ( ( A = B )
=> ( A3 = B3 ) )
& ( ( A != B )
=> ? [C4: set_a] :
( ( A3
= ( insert_a @ B @ C4 ) )
& ~ ( member_a @ B @ C4 )
& ( B3
= ( insert_a @ A @ C4 ) )
& ~ ( member_a @ A @ C4 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(1943,plain,
( ( ! [A: a,A3: set_a] :
( ( member_a @ A @ A3 )
=> ( ( insert_a @ A @ A3 )
= A3 ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(1944,plain,
( ( ! [X2: a,A3: set_a,B3: set_a] :
( ~ ( member_a @ X2 @ A3 )
=> ( ~ ( member_a @ X2 @ B3 )
=> ( ( ( insert_a @ X2 @ A3 )
= ( insert_a @ X2 @ B3 ) )
= ( A3 = B3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(1945,plain,
( ( ! [X2: a,A3: set_a] :
( ( member_a @ X2 @ A3 )
=> ~ ! [B7: set_a] :
( ( A3
= ( insert_a @ X2 @ B7 ) )
=> ( member_a @ X2 @ B7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(1946,plain,
( ( ! [A: a,B3: set_a,B: a] :
( ( member_a @ A @ B3 )
=> ( member_a @ A @ ( insert_a @ B @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(1947,plain,
( ( ! [A: a,B3: set_a] : ( member_a @ A @ ( insert_a @ A @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(1948,plain,
( ( ! [A: a,B: a,A3: set_a] :
( ( member_a @ A @ ( insert_a @ B @ A3 ) )
=> ( ( A != B )
=> ( member_a @ A @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(1949,plain,
( ( ! [A3: set_a] :
( ( A3 != bot_bot_set_a )
=> ( ! [X4: a,Y3: a] :
( ( member_a @ X4 @ A3 )
=> ( ( member_a @ Y3 @ A3 )
=> ( X4 = Y3 ) ) )
=> ( is_singleton_a @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(1950,plain,
( ( ! [B: a,R: set_Product_prod_a_a] :
( ( member_a @ B @ ( range_a_a @ R ) )
=> ~ ! [A5: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ A5 @ B ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(1951,plain,
( ( ! [A: a,R: set_Product_prod_a_a] :
( ( member_a @ A @ ( range_a_a @ R ) )
= ( ? [Y2: a] : ( member449909584od_a_a @ ( product_Pair_a_a @ Y2 @ A ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(1952,plain,
( ( ! [A: a,R: set_Product_prod_a_a] :
( ( member_a @ A @ ( range_a_a @ R ) )
=> ~ ! [A5: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ A5 @ A ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(1953,plain,
( ( ! [A: a,R: set_Product_prod_a_a] :
( ( member_a @ A @ ( range_a_a @ R ) )
= ( ? [A6: a,B6: a] :
( ( A = B6 )
& ( member449909584od_a_a @ ( product_Pair_a_a @ A6 @ B6 ) @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(1954,plain,
( ( ! [A: a,B: a,R: set_Product_prod_a_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ A @ B ) @ R )
=> ( member_a @ B @ ( range_a_a @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(1955,plain,
( ( ! [X2: a,R: set_Product_prod_a_a,P: a > $o] :
( ( member_a @ X2 @ ( range_a_a @ R ) )
=> ( ! [A5: a,B4: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ A5 @ B4 ) @ R )
=> ( P @ B4 ) )
=> ( P @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(1956,plain,
( ( ! [C2: a,A3: set_a] :
( ( member_a @ C2 @ ( uminus_uminus_set_a @ A3 ) )
= ( ~ ( member_a @ C2 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(1957,plain,
( ( ! [C2: a,A3: set_a] :
( ~ ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ ( uminus_uminus_set_a @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(1958,plain,
( ( ~ ( member_a @ y @ carrier ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(1959,plain,
( ( ! [SX0: a,SX1: a,SX2: set_a,SX3: set_Product_prod_a_a] :
( ~ ( member_a @ SX0 @ ( prefer161218362good_a @ SX1 @ SX2 @ SX3 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1910]) ).
thf(1960,plain,
( ( ! [SX0: a,SX1: set_Product_prod_a_a] :
( ( member_a @ SX0 @ ( range_a_a @ SX1 ) )
= ( ~ ! [SX2: a] :
~ ~ ! [SX3: a] :
~ ~ ( ( SX0 != SX3 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1953]) ).
thf(1961,plain,
( ( ! [SX0: a,SX1: a,SX2: set_a] :
( ( SX0 != SX1 )
| ~ ( member_a @ SX0 @ SX2 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ ( id_on_a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1931]) ).
thf(1962,plain,
( ( ! [SX0: set_a,SX1: a] :
( ( SX0 != bot_bot_set_a )
| ~ ( member_a @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1921]) ).
thf(1963,plain,
( ( ord_less_eq_set_a
= ( ^ [SX0: set_a,SX1: set_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1924]) ).
thf(1964,plain,
( ( ! [SX0: product_prod_a_a,SX1: set_a] :
( ~ ( member449909584od_a_a @ SX0 @ ( id_on_a @ SX1 ) )
| ~ ! [SX2: a] :
( ~ ( member_a @ SX2 @ SX1 )
| ( SX0
!= ( product_Pair_a_a @ SX2 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1932]) ).
thf(1965,plain,
( ( ! [SX0: a,SX1: set_a,SX2: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( member_a @ SX0 @ SX2 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1936]) ).
thf(1966,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a] :
( ~ ! [SX2: a,SX3: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX3 @ SX0 )
| ~ ( ( SX2 != SX3 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) )
| ( total_on_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1903]) ).
thf(1967,plain,
( ( ! [SX0: a,SX1: set_a] :
( ~ ( member_a @ SX0 @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX0 ) @ ( id_on_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1929]) ).
thf(1968,plain,
( ( ! [SX0: a,SX1: set_a] :
( ~ ( member_a @ SX0 @ SX1 )
| ~ ! [SX2: set_a] :
( ( SX1
!= ( insert_a @ SX0 @ SX2 ) )
| ( member_a @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1945]) ).
thf(1969,plain,
( ( ! [SX0: a,SX1: a,SX2: set_Product_prod_a_a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ SX2 )
| ( member_a @ SX1 @ ( range_a_a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1954]) ).
thf(1970,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a,SX4: a] :
( ~ ( prefer719835986ence_a @ SX0 @ SX1 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX3 @ SX0 ) )
| ~ ( member_a @ SX4 @ SX0 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX4 ) @ SX1 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX4 @ SX2 ) @ SX1 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX4 @ SX3 ) @ SX1 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX4 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1902]) ).
thf(1971,plain,
( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1885]) ).
thf(1972,plain,
( ( ord_less_eq_set_a
= ( ^ [SX0: set_a,SX1: set_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1923]) ).
thf(1973,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a] :
( ~ ( prefer1292084992ence_a @ SX0 @ SX1 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member_a @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1897]) ).
thf(1974,plain,
( ( ! [SX0: a,SX1: set_Product_prod_a_a] :
( ~ ( member_a @ SX0 @ ( range_a_a @ SX1 ) )
| ~ ! [SX2: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1952]) ).
thf(1975,plain,
( ( ! [SX0: a,SX1: set_a] :
( ~ ~ ( member_a @ SX0 @ SX1 )
| ( member_a @ SX0 @ ( uminus_uminus_set_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1957]) ).
thf(1976,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a] :
( ~ ( prefer719835986ence_a @ SX0 @ SX1 )
| ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX3 @ SX0 )
| ~ ( ( SX2 != SX3 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1899]) ).
thf(1977,plain,
( ( ! [SX0: a,SX1: a,SX2: set_a,SX3: set_Product_prod_a_a] :
( ~ ( member_a @ SX0 @ ( prefer161218362good_a @ SX1 @ SX2 @ SX3 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1909]) ).
thf(1978,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1926]) ).
thf(1979,plain,
( ( total_on_a
= ( ^ [SX0: set_a,SX1: set_Product_prod_a_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ! [SX3: a] :
( ~ ( member_a @ SX3 @ SX0 )
| ~ ( ( SX2 != SX3 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1904]) ).
thf(1980,plain,
( ( ! [SX0: a,SX1: set_a,SX2: a,SX3: set_a] :
( ~ ~ ( member_a @ SX0 @ SX1 )
| ~ ~ ( member_a @ SX2 @ SX3 )
| ( ( ( insert_a @ SX0 @ SX1 )
= ( insert_a @ SX2 @ SX3 ) )
= ( ~ ( ~ ( ( SX0 != SX2 )
| ( SX1 = SX3 ) )
| ~ ( ~ ( ( SX0 != SX2 ) )
| ~ ! [SX4: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SX1
!= ( insert_a @ SX2 @ SX4 ) )
| ~ ~ ( member_a @ SX2 @ SX4 ) )
| ( SX3
!= ( insert_a @ SX0 @ SX4 ) ) )
| ~ ~ ( member_a @ SX0 @ SX4 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1942]) ).
thf(1981,plain,
( ( ! [SX0: set_a] :
( ~ ! [SX1: a] :
~ ( member_a @ SX1 @ SX0 )
| ( ord_less_eq_set_a @ SX0 @ bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1927]) ).
thf(1982,plain,
( ( ! [SX0: a,SX1: set_a] :
( ~ ( member_a @ SX0 @ SX1 )
| ( ( insert_a @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1943]) ).
thf(1983,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a] :
( ~ ( prefer719835986ence_a @ SX0 @ SX1 )
| ~ ~ ( ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX3 @ SX0 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1901]) ).
thf(1984,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) )
| ( ord_less_eq_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1916]) ).
thf(1985,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( member_a @ SX0 @ carrier )
| ~ ( member_a @ SX1 @ carrier )
| ~ ( ( SX0 != SX1 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX0 ) @ relation ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1892]) ).
thf(1986,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a] :
( ~ ( prefer719835986ence_a @ SX0 @ SX1 )
| ~ ( ( SX0 != bot_bot_set_a ) )
| ~ ( member_a @ SX2 @ SX0 )
| ( ( prefer1676310729than_a @ SX2 @ SX0 @ SX1 )
!= bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1915]) ).
thf(1987,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1925]) ).
thf(1988,plain,
( ( ! [SX0: a,SX1: set_a,SX2: set_a] :
( ~ ~ ( member_a @ SX0 @ SX1 )
| ( ( ord_less_eq_set_a @ SX1 @ ( insert_a @ SX0 @ SX2 ) )
= ( ord_less_eq_set_a @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1940]) ).
thf(1989,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( member_a @ SX0 @ ( insert_a @ SX1 @ bot_bot_set_a ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1939]) ).
thf(1990,plain,
( ( ! [SX0: set_a] :
( ~ ! [SX1: a] :
~ ( member_a @ SX1 @ SX0 )
| ( SX0 = bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1920]) ).
thf(1991,plain,
( ( ! [SX0: a] :
( ~ ( ( carrier != bot_bot_set_a ) )
| ~ ( member_a @ SX0 @ carrier )
| ( ( prefer1676310729than_a @ SX0 @ carrier @ relation )
!= bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1913]) ).
thf(1992,plain,
( ( ! [SX0: a,SX1: set_a,SX2: a] :
( ~ ( ~ ~ ( member_a @ SX0 @ SX1 )
| ( SX0 = SX2 ) )
| ( member_a @ SX0 @ ( insert_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1934]) ).
thf(1993,plain,
( ( ! [SX0: a,SX1: a,SX2: set_a] :
( ~ ( member_a @ SX0 @ ( insert_a @ SX1 @ SX2 ) )
| ~ ( ( SX0 != SX1 ) )
| ( member_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1948]) ).
thf(1994,plain,
( ( ! [SX0: a,SX1: set_Product_prod_a_a] :
( ~ ( member_a @ SX0 @ ( range_a_a @ SX1 ) )
| ~ ! [SX2: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1950]) ).
thf(1995,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ relation )
| ( member_a @ SX0 @ carrier ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1893]) ).
thf(1996,plain,
( ( ! [SX0: a,SX1: set_Product_prod_a_a,SX2: a > $o] :
( ~ ( member_a @ SX0 @ ( range_a_a @ SX1 ) )
| ~ ! [SX3: a,SX4: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX4 ) @ SX1 )
| ( SX2 @ SX4 ) )
| ( SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1955]) ).
thf(1997,plain,
( ( ! [SX0: set_a] :
( ( ~ ! [SX1: a] :
~ ( member_a @ SX1 @ SX0 ) )
= ( SX0 != bot_bot_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1919]) ).
thf(1998,plain,
( ( ! [SX0: a] :
( ~ ( member_a @ SX0 @ carrier )
| ! [SX1: a] :
( ~ ( member_a @ SX1 @ carrier )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX0 ) @ relation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1891]) ).
thf(1999,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a] :
( ~ ( refl_on_a @ SX0 @ SX1 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ~ ( ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX3 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1908]) ).
thf(2000,plain,
( ( ! [SX0: a,SX1: set_Product_prod_a_a] :
( ( member_a @ SX0 @ ( range_a_a @ SX1 ) )
= ( ~ ! [SX2: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1951]) ).
thf(2001,plain,
( ( ! [SX0: set_a] :
( ~ ( ( SX0 != bot_bot_set_a ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( member_a @ SX1 @ SX0 )
| ~ ( member_a @ SX2 @ SX0 )
| ( SX1 = SX2 ) )
| ( is_singleton_a @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1949]) ).
thf(2002,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ~ ( ~ ~ ( ~ ( member_a @ SX0 @ carrier )
| ~ ( member_a @ SX1 @ carrier ) )
| ~ ( member_a @ SX2 @ carrier ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX2 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX2 ) @ relation ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1895]) ).
thf(2003,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a] :
( ~ ( refl_on_a @ SX0 @ SX1 )
| ~ ( member_a @ SX2 @ SX0 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1905]) ).
thf(2004,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ~ ( ~ ~ ( ~ ( member_a @ SX0 @ carrier )
| ~ ( member_a @ SX1 @ carrier ) )
| ~ ( member_a @ SX2 @ carrier ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX0 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX2 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX0 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX1 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX2 ) @ relation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1894]) ).
thf(2005,plain,
( ( ! [SX0: a,SX1: set_a,SX2: a] :
( ~ ( member_a @ SX0 @ SX1 )
| ( member_a @ SX0 @ ( insert_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1946]) ).
thf(2006,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a] :
( ~ ( refl_on_a @ SX0 @ SX1 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member_a @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1906]) ).
thf(2007,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a] :
( ~ ( prefer719835986ence_a @ SX0 @ SX1 )
| ! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ! [SX3: a] :
( ~ ( member_a @ SX3 @ SX0 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1898]) ).
thf(2008,plain,
( ( ! [SX0: a,SX1: set_a,SX2: set_a] :
( ~ ~ ( member_a @ SX0 @ SX1 )
| ~ ~ ( member_a @ SX0 @ SX2 )
| ( ( ( insert_a @ SX0 @ SX1 )
= ( insert_a @ SX0 @ SX2 ) )
= ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1944]) ).
thf(2009,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a] :
( ~ ( refl_on_a @ SX0 @ SX1 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member_a @ SX3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1907]) ).
thf(2010,plain,
( ( ! [SX0: a,SX1: set_a] :
( ~ ( member_a @ SX0 @ SX1 )
| ~ ! [SX2: set_a] :
~ ~ ( ( SX1
!= ( insert_a @ SX0 @ SX2 ) )
| ~ ~ ( member_a @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1941]) ).
thf(2011,plain,
( ( ! [SX0: set_a,SX1: set_Product_prod_a_a,SX2: a,SX3: a,SX4: a] :
( ~ ( prefer719835986ence_a @ SX0 @ SX1 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX3 @ SX0 ) )
| ~ ( member_a @ SX4 @ SX0 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX4 ) @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX4 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1900]) ).
thf(2012,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( member_a @ SX0 @ carrier )
| ~ ( member_a @ SX1 @ carrier ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX0 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX1 @ SX0 ) @ relation ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1896]) ).
thf(2013,plain,
( ( ! [SX0: a,SX1: set_a,SX2: set_a] :
( ~ ( member_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX2 @ SX1 )
| ( ord_less_eq_set_a @ ( insert_a @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1937]) ).
thf(2014,plain,
( ( ! [SX0: a,SX1: a,SX2: set_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ SX0 @ SX1 ) @ ( id_on_a @ SX2 ) )
= ( ~ ( ( SX0 != SX1 )
| ~ ( member_a @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1930]) ).
thf(2015,plain,
! [SV201: a] :
( ( ! [SY423: a > $o] :
( ( member_a @ SV201 @ ( collect_a @ SY423 ) )
= ( SY423 @ SV201 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1911]) ).
thf(2016,plain,
! [SV202: set_a] :
( ( ( collect_a
@ ^ [SY424: a] : ( member_a @ SY424 @ SV202 ) )
= SV202 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1912]) ).
thf(2017,plain,
! [SV203: a] :
( ( ! [SY425: a] :
( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ SV203 @ carrier @ relation ) @ ( prefer1676310729than_a @ SY425 @ carrier @ relation ) )
| ( ord_less_eq_set_a @ ( prefer1676310729than_a @ SY425 @ carrier @ relation ) @ ( prefer1676310729than_a @ SV203 @ carrier @ relation ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1914]) ).
thf(2018,plain,
! [SV204: a] :
( ( ~ ( member_a @ SV204 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1917]) ).
thf(2019,plain,
! [SV205: set_a] :
( ( ( ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 ) )
= ( SV205 = bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1918]) ).
thf(2020,plain,
! [SV206: a] :
( ( ~ ( member_a @ SV206 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1922]) ).
thf(2021,plain,
( ( ! [SV207: a] :
( ( bot_bot_a_o @ SV207 )
= ( member_a @ SV207 @ bot_bot_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1928]) ).
thf(2022,plain,
( ( bot_bot_a_o
= ( ^ [X3: a] : ( member_a @ X3 @ bot_bot_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1928]) ).
thf(2023,plain,
! [SV208: a] :
( ( ! [SY427: a,SY428: set_a] :
( ( member_a @ SV208 @ ( insert_a @ SY427 @ SY428 ) )
= ( ( SV208 = SY427 )
| ( member_a @ SV208 @ SY428 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1933]) ).
thf(2024,plain,
! [SV209: a] :
( ( member_a @ SV209 @ ( insert_a @ SV209 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1935]) ).
thf(2025,plain,
! [SV210: a] :
( ( ! [SY429: a] :
( ( member_a @ SV210 @ ( insert_a @ SY429 @ bot_bot_set_a ) )
= ( SV210 = SY429 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1938]) ).
thf(2026,plain,
! [SV211: a] :
( ( ! [SY430: set_a] : ( member_a @ SV211 @ ( insert_a @ SV211 @ SY430 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1947]) ).
thf(2027,plain,
! [SV212: a] :
( ( ! [SY431: set_a] :
( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SY431 ) )
= ( ~ ( member_a @ SV212 @ SY431 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1956]) ).
thf(2028,plain,
( ( member_a @ y @ carrier )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1958]) ).
thf(2029,plain,
! [SV213: a] :
( ( ! [SY432: a,SY433: set_a,SY434: set_Product_prod_a_a] :
( ~ ( member_a @ SV213 @ ( prefer161218362good_a @ SY432 @ SY433 @ SY434 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV213 @ SY432 ) @ SY434 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1959]) ).
thf(2030,plain,
! [SV214: a] :
( ( ! [SY435: set_Product_prod_a_a] :
( ( member_a @ SV214 @ ( range_a_a @ SY435 ) )
= ( ~ ! [SY436: a] :
~ ~ ! [SY437: a] :
~ ~ ( ( SV214 != SY437 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY436 @ SY437 ) @ SY435 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1960]) ).
thf(2031,plain,
! [SV215: a] :
( ( ! [SY438: a,SY439: set_a] :
( ( SV215 != SY438 )
| ~ ( member_a @ SV215 @ SY439 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV215 @ SY438 ) @ ( id_on_a @ SY439 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1961]) ).
thf(2032,plain,
! [SV216: set_a] :
( ( ! [SY440: a] :
( ( SV216 != bot_bot_set_a )
| ~ ( member_a @ SY440 @ SV216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1962]) ).
thf(2033,plain,
( ( ! [SV217: set_a] :
( ( ord_less_eq_set_a @ SV217 )
= ( ^ [SY441: set_a] :
! [SY442: a] :
( ~ ( member_a @ SY442 @ SV217 )
| ( member_a @ SY442 @ SY441 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1963]) ).
thf(2034,plain,
( ( ord_less_eq_set_a
= ( ^ [SX0: set_a,SX1: set_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1963]) ).
thf(2035,plain,
! [SV218: product_prod_a_a] :
( ( ! [SY443: set_a] :
( ~ ( member449909584od_a_a @ SV218 @ ( id_on_a @ SY443 ) )
| ~ ! [SY444: a] :
( ~ ( member_a @ SY444 @ SY443 )
| ( SV218
!= ( product_Pair_a_a @ SY444 @ SY444 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1964]) ).
thf(2036,plain,
! [SV219: a] :
( ( ! [SY445: set_a,SY446: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SY445 ) @ SY446 )
= ( ~ ( ~ ( member_a @ SV219 @ SY446 )
| ~ ( ord_less_eq_set_a @ SY445 @ SY446 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1965]) ).
thf(2037,plain,
! [SV220: set_a] :
( ( ! [SY447: set_Product_prod_a_a] :
( ~ ! [SY448: a,SY449: a] :
( ~ ( member_a @ SY448 @ SV220 )
| ~ ( member_a @ SY449 @ SV220 )
| ~ ( ( SY448 != SY449 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY448 @ SY449 ) @ SY447 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY449 @ SY448 ) @ SY447 ) )
| ( total_on_a @ SV220 @ SY447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1966]) ).
thf(2038,plain,
! [SV221: a] :
( ( ! [SY450: set_a] :
( ~ ( member_a @ SV221 @ SY450 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV221 @ SV221 ) @ ( id_on_a @ SY450 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1967]) ).
thf(2039,plain,
! [SV222: a] :
( ( ! [SY451: set_a] :
( ~ ( member_a @ SV222 @ SY451 )
| ~ ! [SY452: set_a] :
( ( SY451
!= ( insert_a @ SV222 @ SY452 ) )
| ( member_a @ SV222 @ SY452 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1968]) ).
thf(2040,plain,
! [SV223: a] :
( ( ! [SY453: a,SY454: set_Product_prod_a_a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV223 @ SY453 ) @ SY454 )
| ( member_a @ SY453 @ ( range_a_a @ SY454 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1969]) ).
thf(2041,plain,
! [SV224: set_a] :
( ( ! [SY455: set_Product_prod_a_a,SY456: a,SY457: a,SY458: a] :
( ~ ( prefer719835986ence_a @ SV224 @ SY455 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SY456 @ SV224 )
| ~ ( member_a @ SY457 @ SV224 ) )
| ~ ( member_a @ SY458 @ SV224 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY456 @ SY457 ) @ SY455 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY457 @ SY456 ) @ SY455 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY456 @ SY458 ) @ SY455 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY458 @ SY456 ) @ SY455 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY458 @ SY457 ) @ SY455 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY457 @ SY458 ) @ SY455 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1970]) ).
thf(2042,plain,
( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1971]) ).
thf(2043,plain,
( ( ! [SV225: set_a] :
( ( ord_less_eq_set_a @ SV225 )
= ( ^ [SY459: set_a] :
! [SY460: a] :
( ~ ( member_a @ SY460 @ SV225 )
| ( member_a @ SY460 @ SY459 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1972]) ).
thf(2044,plain,
( ( ord_less_eq_set_a
= ( ^ [SX0: set_a,SX1: set_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1972]) ).
thf(2045,plain,
! [SV226: set_a] :
( ( ! [SY461: set_Product_prod_a_a,SY462: a,SY463: a] :
( ~ ( prefer1292084992ence_a @ SV226 @ SY461 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY462 @ SY463 ) @ SY461 )
| ( member_a @ SY462 @ SV226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1973]) ).
thf(2046,plain,
! [SV227: a] :
( ( ! [SY464: set_Product_prod_a_a] :
( ~ ( member_a @ SV227 @ ( range_a_a @ SY464 ) )
| ~ ! [SY465: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY465 @ SV227 ) @ SY464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1974]) ).
thf(2047,plain,
! [SV228: a] :
( ( ! [SY466: set_a] :
( ~ ~ ( member_a @ SV228 @ SY466 )
| ( member_a @ SV228 @ ( uminus_uminus_set_a @ SY466 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1975]) ).
thf(2048,plain,
! [SV229: set_a] :
( ( ! [SY467: set_Product_prod_a_a,SY468: a,SY469: a] :
( ~ ( prefer719835986ence_a @ SV229 @ SY467 )
| ~ ( member_a @ SY468 @ SV229 )
| ~ ( member_a @ SY469 @ SV229 )
| ~ ( ( SY468 != SY469 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY468 @ SY469 ) @ SY467 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY469 @ SY468 ) @ SY467 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1976]) ).
thf(2049,plain,
! [SV230: a] :
( ( ! [SY470: a,SY471: set_a,SY472: set_Product_prod_a_a] :
( ~ ( member_a @ SV230 @ ( prefer161218362good_a @ SY470 @ SY471 @ SY472 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV230 @ SY470 ) @ SY472 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1977]) ).
thf(2050,plain,
! [SV231: set_a] :
( ( ! [SY473: set_a,SY474: a] :
( ~ ( ord_less_eq_set_a @ SV231 @ SY473 )
| ~ ( member_a @ SY474 @ SV231 )
| ( member_a @ SY474 @ SY473 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1978]) ).
thf(2051,plain,
( ( ! [SV232: set_a] :
( ( total_on_a @ SV232 )
= ( ^ [SY475: set_Product_prod_a_a] :
! [SY476: a] :
( ~ ( member_a @ SY476 @ SV232 )
| ! [SY477: a] :
( ~ ( member_a @ SY477 @ SV232 )
| ~ ( ( SY476 != SY477 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY476 @ SY477 ) @ SY475 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY477 @ SY476 ) @ SY475 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1979]) ).
thf(2052,plain,
( ( total_on_a
= ( ^ [SX0: set_a,SX1: set_Product_prod_a_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ! [SX3: a] :
( ~ ( member_a @ SX3 @ SX0 )
| ~ ( ( SX2 != SX3 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX2 @ SX3 ) @ SX1 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1979]) ).
thf(2053,plain,
! [SV233: a] :
( ( ! [SY478: set_a,SY479: a,SY480: set_a] :
( ~ ~ ( member_a @ SV233 @ SY478 )
| ~ ~ ( member_a @ SY479 @ SY480 )
| ( ( ( insert_a @ SV233 @ SY478 )
= ( insert_a @ SY479 @ SY480 ) )
= ( ~ ( ~ ( ( SV233 != SY479 )
| ( SY478 = SY480 ) )
| ~ ( ~ ( ( SV233 != SY479 ) )
| ~ ! [SY481: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SY478
!= ( insert_a @ SY479 @ SY481 ) )
| ~ ~ ( member_a @ SY479 @ SY481 ) )
| ( SY480
!= ( insert_a @ SV233 @ SY481 ) ) )
| ~ ~ ( member_a @ SV233 @ SY481 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1980]) ).
thf(2054,plain,
! [SV234: set_a] :
( ( ~ ! [SY482: a] :
~ ( member_a @ SY482 @ SV234 )
| ( ord_less_eq_set_a @ SV234 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1981]) ).
thf(2055,plain,
! [SV235: a] :
( ( ! [SY483: set_a] :
( ~ ( member_a @ SV235 @ SY483 )
| ( ( insert_a @ SV235 @ SY483 )
= SY483 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1982]) ).
thf(2056,plain,
! [SV236: set_a] :
( ( ! [SY484: set_Product_prod_a_a,SY485: a,SY486: a] :
( ~ ( prefer719835986ence_a @ SV236 @ SY484 )
| ~ ~ ( ~ ( member_a @ SY485 @ SV236 )
| ~ ( member_a @ SY486 @ SV236 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY486 @ SY485 ) @ SY484 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY485 @ SY486 ) @ SY484 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY486 @ SY485 ) @ SY484 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1983]) ).
thf(2057,plain,
! [SV237: set_a] :
( ( ! [SY487: set_a] :
( ~ ! [SY488: a] :
( ~ ( member_a @ SY488 @ SV237 )
| ( member_a @ SY488 @ SY487 ) )
| ( ord_less_eq_set_a @ SV237 @ SY487 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1984]) ).
thf(2058,plain,
! [SV238: a] :
( ( ! [SY489: a] :
( ~ ( member_a @ SV238 @ carrier )
| ~ ( member_a @ SY489 @ carrier )
| ~ ( ( SV238 != SY489 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV238 @ SY489 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY489 @ SV238 ) @ relation ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1985]) ).
thf(2059,plain,
! [SV239: set_a] :
( ( ! [SY490: set_Product_prod_a_a,SY491: a] :
( ~ ( prefer719835986ence_a @ SV239 @ SY490 )
| ~ ( ( SV239 != bot_bot_set_a ) )
| ~ ( member_a @ SY491 @ SV239 )
| ( ( prefer1676310729than_a @ SY491 @ SV239 @ SY490 )
!= bot_bot_set_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1986]) ).
thf(2060,plain,
! [SV240: set_a] :
( ( ! [SY492: set_a,SY493: a] :
( ~ ( ord_less_eq_set_a @ SV240 @ SY492 )
| ~ ( member_a @ SY493 @ SV240 )
| ( member_a @ SY493 @ SY492 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1987]) ).
thf(2061,plain,
! [SV241: a] :
( ( ! [SY494: set_a,SY495: set_a] :
( ~ ~ ( member_a @ SV241 @ SY494 )
| ( ( ord_less_eq_set_a @ SY494 @ ( insert_a @ SV241 @ SY495 ) )
= ( ord_less_eq_set_a @ SY494 @ SY495 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1988]) ).
thf(2062,plain,
! [SV242: a] :
( ( ! [SY496: a] :
( ~ ( member_a @ SV242 @ ( insert_a @ SY496 @ bot_bot_set_a ) )
| ( SV242 = SY496 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1989]) ).
thf(2063,plain,
! [SV243: set_a] :
( ( ~ ! [SY497: a] :
~ ( member_a @ SY497 @ SV243 )
| ( SV243 = bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1990]) ).
thf(2064,plain,
! [SV244: a] :
( ( ~ ( ( carrier != bot_bot_set_a ) )
| ~ ( member_a @ SV244 @ carrier )
| ( ( prefer1676310729than_a @ SV244 @ carrier @ relation )
!= bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1991]) ).
thf(2065,plain,
! [SV245: a] :
( ( ! [SY498: set_a,SY499: a] :
( ~ ( ~ ~ ( member_a @ SV245 @ SY498 )
| ( SV245 = SY499 ) )
| ( member_a @ SV245 @ ( insert_a @ SY499 @ SY498 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1992]) ).
thf(2066,plain,
! [SV246: a] :
( ( ! [SY500: a,SY501: set_a] :
( ~ ( member_a @ SV246 @ ( insert_a @ SY500 @ SY501 ) )
| ~ ( ( SV246 != SY500 ) )
| ( member_a @ SV246 @ SY501 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1993]) ).
thf(2067,plain,
! [SV247: a] :
( ( ! [SY502: set_Product_prod_a_a] :
( ~ ( member_a @ SV247 @ ( range_a_a @ SY502 ) )
| ~ ! [SY503: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY503 @ SV247 ) @ SY502 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1994]) ).
thf(2068,plain,
! [SV248: a] :
( ( ! [SY504: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV248 @ SY504 ) @ relation )
| ( member_a @ SV248 @ carrier ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1995]) ).
thf(2069,plain,
! [SV249: a] :
( ( ! [SY505: set_Product_prod_a_a,SY506: a > $o] :
( ~ ( member_a @ SV249 @ ( range_a_a @ SY505 ) )
| ~ ! [SX3: a,SX4: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SX3 @ SX4 ) @ SY505 )
| ( SY506 @ SX4 ) )
| ( SY506 @ SV249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1996]) ).
thf(2070,plain,
! [SV250: set_a] :
( ( ( ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 ) )
= ( SV250 != bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1997]) ).
thf(2071,plain,
! [SV251: a] :
( ( ~ ( member_a @ SV251 @ carrier )
| ! [SY510: a] :
( ~ ( member_a @ SY510 @ carrier )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV251 @ SY510 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY510 @ SV251 ) @ relation ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1998]) ).
thf(2072,plain,
! [SV252: set_a] :
( ( ! [SY511: set_Product_prod_a_a,SY512: a,SY513: a] :
( ~ ( refl_on_a @ SV252 @ SY511 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY512 @ SY513 ) @ SY511 )
| ~ ( ~ ( member_a @ SY512 @ SV252 )
| ~ ( member_a @ SY513 @ SV252 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1999]) ).
thf(2073,plain,
! [SV253: a] :
( ( ! [SY514: set_Product_prod_a_a] :
( ( member_a @ SV253 @ ( range_a_a @ SY514 ) )
= ( ~ ! [SY515: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY515 @ SV253 ) @ SY514 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2000]) ).
thf(2074,plain,
! [SV254: set_a] :
( ( ~ ( ( SV254 != bot_bot_set_a ) )
| ~ ! [SY516: a,SY517: a] :
( ~ ( member_a @ SY516 @ SV254 )
| ~ ( member_a @ SY517 @ SV254 )
| ( SY516 = SY517 ) )
| ( is_singleton_a @ SV254 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2001]) ).
thf(2075,plain,
! [SV255: a] :
( ( ! [SY518: a,SY519: a] :
( ~ ~ ( ~ ~ ( ~ ( member_a @ SV255 @ carrier )
| ~ ( member_a @ SY518 @ carrier ) )
| ~ ( member_a @ SY519 @ carrier ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SY518 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY518 @ SY519 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SY519 ) @ relation ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2002]) ).
thf(2076,plain,
! [SV256: set_a] :
( ( ! [SY520: set_Product_prod_a_a,SY521: a] :
( ~ ( refl_on_a @ SV256 @ SY520 )
| ~ ( member_a @ SY521 @ SV256 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY521 @ SY521 ) @ SY520 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2003]) ).
thf(2077,plain,
! [SV257: a] :
( ( ! [SY522: a,SY523: a] :
( ~ ~ ( ~ ~ ( ~ ( member_a @ SV257 @ carrier )
| ~ ( member_a @ SY522 @ carrier ) )
| ~ ( member_a @ SY523 @ carrier ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SY522 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY522 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SY523 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY523 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY523 @ SY522 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY522 @ SY523 ) @ relation ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2004]) ).
thf(2078,plain,
! [SV258: a] :
( ( ! [SY524: set_a,SY525: a] :
( ~ ( member_a @ SV258 @ SY524 )
| ( member_a @ SV258 @ ( insert_a @ SY525 @ SY524 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2005]) ).
thf(2079,plain,
! [SV259: set_a] :
( ( ! [SY526: set_Product_prod_a_a,SY527: a,SY528: a] :
( ~ ( refl_on_a @ SV259 @ SY526 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY527 @ SY528 ) @ SY526 )
| ( member_a @ SY527 @ SV259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2006]) ).
thf(2080,plain,
! [SV260: set_a] :
( ( ! [SY529: set_Product_prod_a_a] :
( ~ ( prefer719835986ence_a @ SV260 @ SY529 )
| ! [SY530: a] :
( ~ ( member_a @ SY530 @ SV260 )
| ! [SY531: a] :
( ~ ( member_a @ SY531 @ SV260 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY530 @ SY531 ) @ SY529 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY531 @ SY530 ) @ SY529 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2007]) ).
thf(2081,plain,
! [SV261: a] :
( ( ! [SY532: set_a,SY533: set_a] :
( ~ ~ ( member_a @ SV261 @ SY532 )
| ~ ~ ( member_a @ SV261 @ SY533 )
| ( ( ( insert_a @ SV261 @ SY532 )
= ( insert_a @ SV261 @ SY533 ) )
= ( SY532 = SY533 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2008]) ).
thf(2082,plain,
! [SV262: set_a] :
( ( ! [SY534: set_Product_prod_a_a,SY535: a,SY536: a] :
( ~ ( refl_on_a @ SV262 @ SY534 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY535 @ SY536 ) @ SY534 )
| ( member_a @ SY536 @ SV262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2009]) ).
thf(2083,plain,
! [SV263: a] :
( ( ! [SY537: set_a] :
( ~ ( member_a @ SV263 @ SY537 )
| ~ ! [SY538: set_a] :
~ ~ ( ( SY537
!= ( insert_a @ SV263 @ SY538 ) )
| ~ ~ ( member_a @ SV263 @ SY538 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2010]) ).
thf(2084,plain,
! [SV264: set_a] :
( ( ! [SY539: set_Product_prod_a_a,SY540: a,SY541: a,SY542: a] :
( ~ ( prefer719835986ence_a @ SV264 @ SY539 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SY540 @ SV264 )
| ~ ( member_a @ SY541 @ SV264 ) )
| ~ ( member_a @ SY542 @ SV264 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY540 @ SY541 ) @ SY539 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY541 @ SY542 ) @ SY539 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY540 @ SY542 ) @ SY539 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2011]) ).
thf(2085,plain,
! [SV265: a] :
( ( ! [SY543: a] :
( ~ ~ ( ~ ( member_a @ SV265 @ carrier )
| ~ ( member_a @ SY543 @ carrier ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY543 @ SV265 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SY543 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY543 @ SV265 ) @ relation ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2012]) ).
thf(2086,plain,
! [SV266: a] :
( ( ! [SY544: set_a,SY545: set_a] :
( ~ ( member_a @ SV266 @ SY544 )
| ~ ( ord_less_eq_set_a @ SY545 @ SY544 )
| ( ord_less_eq_set_a @ ( insert_a @ SV266 @ SY545 ) @ SY544 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2013]) ).
thf(2087,plain,
! [SV267: a] :
( ( ! [SY546: a,SY547: set_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SY546 ) @ ( id_on_a @ SY547 ) )
= ( ~ ( ( SV267 != SY546 )
| ~ ( member_a @ SV267 @ SY547 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2014]) ).
thf(2088,plain,
! [SV268: a > $o,SV201: a] :
( ( ( member_a @ SV201 @ ( collect_a @ SV268 ) )
= ( SV268 @ SV201 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2015]) ).
thf(2089,plain,
! [SV269: a,SV203: a] :
( ( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ SV203 @ carrier @ relation ) @ ( prefer1676310729than_a @ SV269 @ carrier @ relation ) )
| ( ord_less_eq_set_a @ ( prefer1676310729than_a @ SV269 @ carrier @ relation ) @ ( prefer1676310729than_a @ SV203 @ carrier @ relation ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2017]) ).
thf(2090,plain,
! [SV204: a] :
( ( member_a @ SV204 @ bot_bot_set_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2018]) ).
thf(2091,plain,
! [SV205: set_a] :
( ( ~ ( ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 )
| ( SV205 = bot_bot_set_a ) )
| ~ ( ~ ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 )
| ( SV205 != bot_bot_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2019]) ).
thf(2092,plain,
! [SV205: set_a] :
( ( ( ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 ) )
= ( SV205 = bot_bot_set_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2019]) ).
thf(2093,plain,
! [SV206: a] :
( ( member_a @ SV206 @ bot_bot_set_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2020]) ).
thf(2094,plain,
! [SV270: a] :
( ( ( bot_bot_a_o @ SV270 )
= ( member_a @ SV270 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2021]) ).
thf(2095,plain,
! [SV271: a,SV208: a] :
( ( ! [SY548: set_a] :
( ( member_a @ SV208 @ ( insert_a @ SV271 @ SY548 ) )
= ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SY548 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2023]) ).
thf(2096,plain,
! [SV272: a,SV210: a] :
( ( ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
= ( SV210 = SV272 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2025]) ).
thf(2097,plain,
! [SV273: set_a,SV211: a] :
( ( member_a @ SV211 @ ( insert_a @ SV211 @ SV273 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2026]) ).
thf(2098,plain,
! [SV274: set_a,SV212: a] :
( ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
= ( ~ ( member_a @ SV212 @ SV274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2027]) ).
thf(2099,plain,
! [SV275: a,SV213: a] :
( ( ! [SY549: set_a,SY550: set_Product_prod_a_a] :
( ~ ( member_a @ SV213 @ ( prefer161218362good_a @ SV275 @ SY549 @ SY550 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV213 @ SV275 ) @ SY550 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2029]) ).
thf(2100,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= ( ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2030]) ).
thf(2101,plain,
! [SV277: a,SV215: a] :
( ( ! [SY553: set_a] :
( ( SV215 != SV277 )
| ~ ( member_a @ SV215 @ SY553 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV215 @ SV277 ) @ ( id_on_a @ SY553 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2031]) ).
thf(2102,plain,
! [SV278: a,SV216: set_a] :
( ( ( SV216 != bot_bot_set_a )
| ~ ( member_a @ SV278 @ SV216 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2032]) ).
thf(2103,plain,
! [SV279: set_a] :
( ( ( ord_less_eq_set_a @ SV279 )
= ( ^ [SY554: set_a] :
! [SY555: a] :
( ~ ( member_a @ SY555 @ SV279 )
| ( member_a @ SY555 @ SY554 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2033]) ).
thf(2104,plain,
! [SV280: set_a,SV218: product_prod_a_a] :
( ( ~ ( member449909584od_a_a @ SV218 @ ( id_on_a @ SV280 ) )
| ~ ! [SY556: a] :
( ~ ( member_a @ SY556 @ SV280 )
| ( SV218
!= ( product_Pair_a_a @ SY556 @ SY556 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2035]) ).
thf(2105,plain,
! [SV281: set_a,SV219: a] :
( ( ! [SY557: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SY557 )
= ( ~ ( ~ ( member_a @ SV219 @ SY557 )
| ~ ( ord_less_eq_set_a @ SV281 @ SY557 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2036]) ).
thf(2106,plain,
! [SV282: set_Product_prod_a_a,SV220: set_a] :
( ( ~ ! [SY558: a,SY559: a] :
( ~ ( member_a @ SY558 @ SV220 )
| ~ ( member_a @ SY559 @ SV220 )
| ~ ( ( SY558 != SY559 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY558 @ SY559 ) @ SV282 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY559 @ SY558 ) @ SV282 ) )
| ( total_on_a @ SV220 @ SV282 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2037]) ).
thf(2107,plain,
! [SV283: set_a,SV221: a] :
( ( ~ ( member_a @ SV221 @ SV283 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV221 @ SV221 ) @ ( id_on_a @ SV283 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2038]) ).
thf(2108,plain,
! [SV284: set_a,SV222: a] :
( ( ~ ( member_a @ SV222 @ SV284 )
| ~ ! [SY560: set_a] :
( ( SV284
!= ( insert_a @ SV222 @ SY560 ) )
| ( member_a @ SV222 @ SY560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2039]) ).
thf(2109,plain,
! [SV285: a,SV223: a] :
( ( ! [SY561: set_Product_prod_a_a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV223 @ SV285 ) @ SY561 )
| ( member_a @ SV285 @ ( range_a_a @ SY561 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2040]) ).
thf(2110,plain,
! [SV286: set_Product_prod_a_a,SV224: set_a] :
( ( ! [SY562: a,SY563: a,SY564: a] :
( ~ ( prefer719835986ence_a @ SV224 @ SV286 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SY562 @ SV224 )
| ~ ( member_a @ SY563 @ SV224 ) )
| ~ ( member_a @ SY564 @ SV224 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY562 @ SY563 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY563 @ SY562 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY562 @ SY564 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY564 @ SY562 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY564 @ SY563 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY563 @ SY564 ) @ SV286 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2041]) ).
thf(2111,plain,
( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2042]) ).
thf(2112,plain,
( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2042]) ).
thf(2113,plain,
! [SV287: set_a] :
( ( ( ord_less_eq_set_a @ SV287 )
= ( ^ [SY565: set_a] :
! [SY566: a] :
( ~ ( member_a @ SY566 @ SV287 )
| ( member_a @ SY566 @ SY565 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2043]) ).
thf(2114,plain,
! [SV288: set_Product_prod_a_a,SV226: set_a] :
( ( ! [SY567: a,SY568: a] :
( ~ ( prefer1292084992ence_a @ SV226 @ SV288 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY567 @ SY568 ) @ SV288 )
| ( member_a @ SY567 @ SV226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2045]) ).
thf(2115,plain,
! [SV289: set_Product_prod_a_a,SV227: a] :
( ( ~ ( member_a @ SV227 @ ( range_a_a @ SV289 ) )
| ~ ! [SY569: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY569 @ SV227 ) @ SV289 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2046]) ).
thf(2116,plain,
! [SV290: set_a,SV228: a] :
( ( ~ ~ ( member_a @ SV228 @ SV290 )
| ( member_a @ SV228 @ ( uminus_uminus_set_a @ SV290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2047]) ).
thf(2117,plain,
! [SV291: set_Product_prod_a_a,SV229: set_a] :
( ( ! [SY570: a,SY571: a] :
( ~ ( prefer719835986ence_a @ SV229 @ SV291 )
| ~ ( member_a @ SY570 @ SV229 )
| ~ ( member_a @ SY571 @ SV229 )
| ~ ( ( SY570 != SY571 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY570 @ SY571 ) @ SV291 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY571 @ SY570 ) @ SV291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2048]) ).
thf(2118,plain,
! [SV292: a,SV230: a] :
( ( ! [SY572: set_a,SY573: set_Product_prod_a_a] :
( ~ ( member_a @ SV230 @ ( prefer161218362good_a @ SV292 @ SY572 @ SY573 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV230 @ SV292 ) @ SY573 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2049]) ).
thf(2119,plain,
! [SV293: set_a,SV231: set_a] :
( ( ! [SY574: a] :
( ~ ( ord_less_eq_set_a @ SV231 @ SV293 )
| ~ ( member_a @ SY574 @ SV231 )
| ( member_a @ SY574 @ SV293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2050]) ).
thf(2120,plain,
! [SV294: set_a] :
( ( ( total_on_a @ SV294 )
= ( ^ [SY575: set_Product_prod_a_a] :
! [SY576: a] :
( ~ ( member_a @ SY576 @ SV294 )
| ! [SY577: a] :
( ~ ( member_a @ SY577 @ SV294 )
| ~ ( ( SY576 != SY577 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY576 @ SY577 ) @ SY575 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY577 @ SY576 ) @ SY575 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2051]) ).
thf(2121,plain,
! [SV295: set_a,SV233: a] :
( ( ! [SY578: a,SY579: set_a] :
( ~ ~ ( member_a @ SV233 @ SV295 )
| ~ ~ ( member_a @ SY578 @ SY579 )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SY578 @ SY579 ) )
= ( ~ ( ~ ( ( SV233 != SY578 )
| ( SV295 = SY579 ) )
| ~ ( ~ ( ( SV233 != SY578 ) )
| ~ ! [SY580: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SY578 @ SY580 ) )
| ~ ~ ( member_a @ SY578 @ SY580 ) )
| ( SY579
!= ( insert_a @ SV233 @ SY580 ) ) )
| ~ ~ ( member_a @ SV233 @ SY580 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2053]) ).
thf(2122,plain,
! [SV234: set_a] :
( ( ( ~ ! [SY482: a] :
~ ( member_a @ SY482 @ SV234 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV234 @ bot_bot_set_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2054]) ).
thf(2123,plain,
! [SV296: set_a,SV235: a] :
( ( ~ ( member_a @ SV235 @ SV296 )
| ( ( insert_a @ SV235 @ SV296 )
= SV296 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2055]) ).
thf(2124,plain,
! [SV297: set_Product_prod_a_a,SV236: set_a] :
( ( ! [SY581: a,SY582: a] :
( ~ ( prefer719835986ence_a @ SV236 @ SV297 )
| ~ ~ ( ~ ( member_a @ SY581 @ SV236 )
| ~ ( member_a @ SY582 @ SV236 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY582 @ SY581 ) @ SV297 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY581 @ SY582 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY582 @ SY581 ) @ SV297 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2056]) ).
thf(2125,plain,
! [SV298: set_a,SV237: set_a] :
( ( ~ ! [SY583: a] :
( ~ ( member_a @ SY583 @ SV237 )
| ( member_a @ SY583 @ SV298 ) )
| ( ord_less_eq_set_a @ SV237 @ SV298 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2057]) ).
thf(2126,plain,
! [SV299: a,SV238: a] :
( ( ~ ( member_a @ SV238 @ carrier )
| ~ ( member_a @ SV299 @ carrier )
| ~ ( ( SV238 != SV299 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV238 @ SV299 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV299 @ SV238 ) @ relation ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2058]) ).
thf(2127,plain,
! [SV300: set_Product_prod_a_a,SV239: set_a] :
( ( ! [SY584: a] :
( ~ ( prefer719835986ence_a @ SV239 @ SV300 )
| ~ ( ( SV239 != bot_bot_set_a ) )
| ~ ( member_a @ SY584 @ SV239 )
| ( ( prefer1676310729than_a @ SY584 @ SV239 @ SV300 )
!= bot_bot_set_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2059]) ).
thf(2128,plain,
! [SV301: set_a,SV240: set_a] :
( ( ! [SY585: a] :
( ~ ( ord_less_eq_set_a @ SV240 @ SV301 )
| ~ ( member_a @ SY585 @ SV240 )
| ( member_a @ SY585 @ SV301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2060]) ).
thf(2129,plain,
! [SV302: set_a,SV241: a] :
( ( ! [SY586: set_a] :
( ~ ~ ( member_a @ SV241 @ SV302 )
| ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SY586 ) )
= ( ord_less_eq_set_a @ SV302 @ SY586 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2061]) ).
thf(2130,plain,
! [SV303: a,SV242: a] :
( ( ~ ( member_a @ SV242 @ ( insert_a @ SV303 @ bot_bot_set_a ) )
| ( SV242 = SV303 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2062]) ).
thf(2131,plain,
! [SV243: set_a] :
( ( ( ~ ! [SY497: a] :
~ ( member_a @ SY497 @ SV243 ) )
= $true )
| ( ( SV243 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2063]) ).
thf(2132,plain,
! [SV244: a] :
( ( ( ~ ( ( carrier != bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( member_a @ SV244 @ carrier )
| ( ( prefer1676310729than_a @ SV244 @ carrier @ relation )
!= bot_bot_set_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2064]) ).
thf(2133,plain,
! [SV304: set_a,SV245: a] :
( ( ! [SY587: a] :
( ~ ( ~ ~ ( member_a @ SV245 @ SV304 )
| ( SV245 = SY587 ) )
| ( member_a @ SV245 @ ( insert_a @ SY587 @ SV304 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2065]) ).
thf(2134,plain,
! [SV305: a,SV246: a] :
( ( ! [SY588: set_a] :
( ~ ( member_a @ SV246 @ ( insert_a @ SV305 @ SY588 ) )
| ~ ( ( SV246 != SV305 ) )
| ( member_a @ SV246 @ SY588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2066]) ).
thf(2135,plain,
! [SV306: set_Product_prod_a_a,SV247: a] :
( ( ~ ( member_a @ SV247 @ ( range_a_a @ SV306 ) )
| ~ ! [SY589: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY589 @ SV247 ) @ SV306 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2067]) ).
thf(2136,plain,
! [SV307: a,SV248: a] :
( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV248 @ SV307 ) @ relation )
| ( member_a @ SV248 @ carrier ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2068]) ).
thf(2137,plain,
! [SV308: set_Product_prod_a_a,SV249: a] :
( ( ! [SY590: a > $o] :
( ~ ( member_a @ SV249 @ ( range_a_a @ SV308 ) )
| ~ ! [SY591: a,SY592: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY591 @ SY592 ) @ SV308 )
| ( SY590 @ SY592 ) )
| ( SY590 @ SV249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2069]) ).
thf(2138,plain,
! [SV250: set_a] :
( ( ~ ( ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ( SV250 != bot_bot_set_a ) )
| ~ ( ~ ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ~ ( ( SV250 != bot_bot_set_a ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2070]) ).
thf(2139,plain,
! [SV250: set_a] :
( ( ( ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 ) )
= ( SV250 != bot_bot_set_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2070]) ).
thf(2140,plain,
! [SV251: a] :
( ( ( ~ ( member_a @ SV251 @ carrier ) )
= $true )
| ( ( ! [SY510: a] :
( ~ ( member_a @ SY510 @ carrier )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV251 @ SY510 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY510 @ SV251 ) @ relation ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2071]) ).
thf(2141,plain,
! [SV309: set_Product_prod_a_a,SV252: set_a] :
( ( ! [SY593: a,SY594: a] :
( ~ ( refl_on_a @ SV252 @ SV309 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY593 @ SY594 ) @ SV309 )
| ~ ( ~ ( member_a @ SY593 @ SV252 )
| ~ ( member_a @ SY594 @ SV252 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2072]) ).
thf(2142,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
= ( ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2073]) ).
thf(2143,plain,
! [SV254: set_a] :
( ( ( ~ ( ( SV254 != bot_bot_set_a ) ) )
= $true )
| ( ( ~ ! [SY516: a,SY517: a] :
( ~ ( member_a @ SY516 @ SV254 )
| ~ ( member_a @ SY517 @ SV254 )
| ( SY516 = SY517 ) )
| ( is_singleton_a @ SV254 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2074]) ).
thf(2144,plain,
! [SV311: a,SV255: a] :
( ( ! [SY596: a] :
( ~ ~ ( ~ ~ ( ~ ( member_a @ SV255 @ carrier )
| ~ ( member_a @ SV311 @ carrier ) )
| ~ ( member_a @ SY596 @ carrier ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SY596 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SY596 ) @ relation ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2075]) ).
thf(2145,plain,
! [SV312: set_Product_prod_a_a,SV256: set_a] :
( ( ! [SY597: a] :
( ~ ( refl_on_a @ SV256 @ SV312 )
| ~ ( member_a @ SY597 @ SV256 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY597 @ SY597 ) @ SV312 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2076]) ).
thf(2146,plain,
! [SV313: a,SV257: a] :
( ( ! [SY598: a] :
( ~ ~ ( ~ ~ ( ~ ( member_a @ SV257 @ carrier )
| ~ ( member_a @ SV313 @ carrier ) )
| ~ ( member_a @ SY598 @ carrier ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SY598 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY598 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY598 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SY598 ) @ relation ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2077]) ).
thf(2147,plain,
! [SV314: set_a,SV258: a] :
( ( ! [SY599: a] :
( ~ ( member_a @ SV258 @ SV314 )
| ( member_a @ SV258 @ ( insert_a @ SY599 @ SV314 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2078]) ).
thf(2148,plain,
! [SV315: set_Product_prod_a_a,SV259: set_a] :
( ( ! [SY600: a,SY601: a] :
( ~ ( refl_on_a @ SV259 @ SV315 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY600 @ SY601 ) @ SV315 )
| ( member_a @ SY600 @ SV259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2079]) ).
thf(2149,plain,
! [SV316: set_Product_prod_a_a,SV260: set_a] :
( ( ~ ( prefer719835986ence_a @ SV260 @ SV316 )
| ! [SY602: a] :
( ~ ( member_a @ SY602 @ SV260 )
| ! [SY603: a] :
( ~ ( member_a @ SY603 @ SV260 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY602 @ SY603 ) @ SV316 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY603 @ SY602 ) @ SV316 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2080]) ).
thf(2150,plain,
! [SV317: set_a,SV261: a] :
( ( ! [SY604: set_a] :
( ~ ~ ( member_a @ SV261 @ SV317 )
| ~ ~ ( member_a @ SV261 @ SY604 )
| ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SY604 ) )
= ( SV317 = SY604 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2081]) ).
thf(2151,plain,
! [SV318: set_Product_prod_a_a,SV262: set_a] :
( ( ! [SY605: a,SY606: a] :
( ~ ( refl_on_a @ SV262 @ SV318 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY605 @ SY606 ) @ SV318 )
| ( member_a @ SY606 @ SV262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2082]) ).
thf(2152,plain,
! [SV319: set_a,SV263: a] :
( ( ~ ( member_a @ SV263 @ SV319 )
| ~ ! [SY607: set_a] :
~ ~ ( ( SV319
!= ( insert_a @ SV263 @ SY607 ) )
| ~ ~ ( member_a @ SV263 @ SY607 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2083]) ).
thf(2153,plain,
! [SV320: set_Product_prod_a_a,SV264: set_a] :
( ( ! [SY608: a,SY609: a,SY610: a] :
( ~ ( prefer719835986ence_a @ SV264 @ SV320 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SY608 @ SV264 )
| ~ ( member_a @ SY609 @ SV264 ) )
| ~ ( member_a @ SY610 @ SV264 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY608 @ SY609 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY609 @ SY610 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY608 @ SY610 ) @ SV320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2084]) ).
thf(2154,plain,
! [SV321: a,SV265: a] :
( ( ~ ~ ( ~ ( member_a @ SV265 @ carrier )
| ~ ( member_a @ SV321 @ carrier ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2085]) ).
thf(2155,plain,
! [SV322: set_a,SV266: a] :
( ( ! [SY611: set_a] :
( ~ ( member_a @ SV266 @ SV322 )
| ~ ( ord_less_eq_set_a @ SY611 @ SV322 )
| ( ord_less_eq_set_a @ ( insert_a @ SV266 @ SY611 ) @ SV322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2086]) ).
thf(2156,plain,
! [SV323: a,SV267: a] :
( ( ! [SY612: set_a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SY612 ) )
= ( ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SY612 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2087]) ).
thf(2157,plain,
! [SV268: a > $o,SV201: a] :
( ( ~ ( ( member_a @ SV201 @ ( collect_a @ SV268 ) )
| ( SV268 @ SV201 ) )
| ~ ( ~ ( member_a @ SV201 @ ( collect_a @ SV268 ) )
| ~ ( SV268 @ SV201 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2088]) ).
thf(2158,plain,
! [SV268: a > $o,SV201: a] :
( ( ( member_a @ SV201 @ ( collect_a @ SV268 ) )
= ( SV268 @ SV201 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2088]) ).
thf(2159,plain,
! [SV269: a,SV203: a] :
( ( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ SV203 @ carrier @ relation ) @ ( prefer1676310729than_a @ SV269 @ carrier @ relation ) )
= $true )
| ( ( ord_less_eq_set_a @ ( prefer1676310729than_a @ SV269 @ carrier @ relation ) @ ( prefer1676310729than_a @ SV203 @ carrier @ relation ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2089]) ).
thf(2160,plain,
! [SV205: set_a] :
( ( ( ~ ( ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 )
| ( SV205 = bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ~ ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 )
| ( SV205 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2091]) ).
thf(2161,plain,
! [SV270: a] :
( ( ~ ( ( bot_bot_a_o @ SV270 )
| ( member_a @ SV270 @ bot_bot_set_a ) )
| ~ ( ~ ( bot_bot_a_o @ SV270 )
| ~ ( member_a @ SV270 @ bot_bot_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2094]) ).
thf(2162,plain,
! [SV270: a] :
( ( ( bot_bot_a_o @ SV270 )
= ( member_a @ SV270 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2094]) ).
thf(2163,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
= ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2095]) ).
thf(2164,plain,
! [SV272: a,SV210: a] :
( ( ~ ( ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
| ( SV210 = SV272 ) )
| ~ ( ~ ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
| ( SV210 != SV272 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2096]) ).
thf(2165,plain,
! [SV272: a,SV210: a] :
( ( ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
= ( SV210 = SV272 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2096]) ).
thf(2166,plain,
! [SV274: set_a,SV212: a] :
( ( ~ ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
| ~ ( member_a @ SV212 @ SV274 ) )
| ~ ( ~ ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
| ~ ~ ( member_a @ SV212 @ SV274 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2098]) ).
thf(2167,plain,
! [SV274: set_a,SV212: a] :
( ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
= ( ~ ( member_a @ SV212 @ SV274 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2098]) ).
thf(2168,plain,
! [SV325: set_a,SV275: a,SV213: a] :
( ( ! [SY613: set_Product_prod_a_a] :
( ~ ( member_a @ SV213 @ ( prefer161218362good_a @ SV275 @ SV325 @ SY613 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV213 @ SV275 ) @ SY613 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2099]) ).
thf(2169,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ~ ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) )
| ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2100]) ).
thf(2170,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= ( ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2100]) ).
thf(2171,plain,
! [SV326: set_a,SV277: a,SV215: a] :
( ( ( SV215 != SV277 )
| ~ ( member_a @ SV215 @ SV326 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV215 @ SV277 ) @ ( id_on_a @ SV326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2101]) ).
thf(2172,plain,
! [SV278: a,SV216: set_a] :
( ( ( SV216 != bot_bot_set_a )
= $true )
| ( ( ~ ( member_a @ SV278 @ SV216 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2102]) ).
thf(2173,plain,
! [SV279: set_a] :
( ( ! [SV327: set_a] :
( ( ord_less_eq_set_a @ SV279 @ SV327 )
= ( ! [SY614: a] :
( ~ ( member_a @ SY614 @ SV279 )
| ( member_a @ SY614 @ SV327 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2103]) ).
thf(2174,plain,
! [SV279: set_a] :
( ( ( ord_less_eq_set_a @ SV279 )
= ( ^ [SY554: set_a] :
! [SY555: a] :
( ~ ( member_a @ SY555 @ SV279 )
| ( member_a @ SY555 @ SY554 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2103]) ).
thf(2175,plain,
! [SV280: set_a,SV218: product_prod_a_a] :
( ( ( ~ ( member449909584od_a_a @ SV218 @ ( id_on_a @ SV280 ) ) )
= $true )
| ( ( ~ ! [SY556: a] :
( ~ ( member_a @ SY556 @ SV280 )
| ( SV218
!= ( product_Pair_a_a @ SY556 @ SY556 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2104]) ).
thf(2176,plain,
! [SV328: set_a,SV281: set_a,SV219: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= ( ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2105]) ).
thf(2177,plain,
! [SV282: set_Product_prod_a_a,SV220: set_a] :
( ( ( ~ ! [SY558: a,SY559: a] :
( ~ ( member_a @ SY558 @ SV220 )
| ~ ( member_a @ SY559 @ SV220 )
| ~ ( ( SY558 != SY559 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY558 @ SY559 ) @ SV282 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY559 @ SY558 ) @ SV282 ) ) )
= $true )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2106]) ).
thf(2178,plain,
! [SV283: set_a,SV221: a] :
( ( ( ~ ( member_a @ SV221 @ SV283 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV221 @ SV221 ) @ ( id_on_a @ SV283 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2107]) ).
thf(2179,plain,
! [SV284: set_a,SV222: a] :
( ( ( ~ ( member_a @ SV222 @ SV284 ) )
= $true )
| ( ( ~ ! [SY560: set_a] :
( ( SV284
!= ( insert_a @ SV222 @ SY560 ) )
| ( member_a @ SV222 @ SY560 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2108]) ).
thf(2180,plain,
! [SV329: set_Product_prod_a_a,SV285: a,SV223: a] :
( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV223 @ SV285 ) @ SV329 )
| ( member_a @ SV285 @ ( range_a_a @ SV329 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2109]) ).
thf(2181,plain,
! [SV330: a,SV286: set_Product_prod_a_a,SV224: set_a] :
( ( ! [SY615: a,SY616: a] :
( ~ ( prefer719835986ence_a @ SV224 @ SV286 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SV330 @ SV224 )
| ~ ( member_a @ SY615 @ SV224 ) )
| ~ ( member_a @ SY616 @ SV224 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SY615 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY615 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SY616 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY616 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY616 @ SY615 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY615 @ SY616 ) @ SV286 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2110]) ).
thf(2182,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2111]) ).
thf(2183,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2112]) ).
thf(2184,plain,
! [SV287: set_a] :
( ( ! [SV331: set_a] :
( ( ord_less_eq_set_a @ SV287 @ SV331 )
= ( ! [SY617: a] :
( ~ ( member_a @ SY617 @ SV287 )
| ( member_a @ SY617 @ SV331 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2113]) ).
thf(2185,plain,
! [SV287: set_a] :
( ( ( ord_less_eq_set_a @ SV287 )
= ( ^ [SY565: set_a] :
! [SY566: a] :
( ~ ( member_a @ SY566 @ SV287 )
| ( member_a @ SY566 @ SY565 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2113]) ).
thf(2186,plain,
! [SV332: a,SV288: set_Product_prod_a_a,SV226: set_a] :
( ( ! [SY618: a] :
( ~ ( prefer1292084992ence_a @ SV226 @ SV288 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV332 @ SY618 ) @ SV288 )
| ( member_a @ SV332 @ SV226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2114]) ).
thf(2187,plain,
! [SV289: set_Product_prod_a_a,SV227: a] :
( ( ( ~ ( member_a @ SV227 @ ( range_a_a @ SV289 ) ) )
= $true )
| ( ( ~ ! [SY569: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY569 @ SV227 ) @ SV289 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2115]) ).
thf(2188,plain,
! [SV290: set_a,SV228: a] :
( ( ( ~ ~ ( member_a @ SV228 @ SV290 ) )
= $true )
| ( ( member_a @ SV228 @ ( uminus_uminus_set_a @ SV290 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2116]) ).
thf(2189,plain,
! [SV333: a,SV291: set_Product_prod_a_a,SV229: set_a] :
( ( ! [SY619: a] :
( ~ ( prefer719835986ence_a @ SV229 @ SV291 )
| ~ ( member_a @ SV333 @ SV229 )
| ~ ( member_a @ SY619 @ SV229 )
| ~ ( ( SV333 != SY619 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV333 @ SY619 ) @ SV291 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY619 @ SV333 ) @ SV291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2117]) ).
thf(2190,plain,
! [SV334: set_a,SV292: a,SV230: a] :
( ( ! [SY620: set_Product_prod_a_a] :
( ~ ( member_a @ SV230 @ ( prefer161218362good_a @ SV292 @ SV334 @ SY620 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV230 @ SV292 ) @ SY620 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2118]) ).
thf(2191,plain,
! [SV335: a,SV293: set_a,SV231: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV231 @ SV293 )
| ~ ( member_a @ SV335 @ SV231 )
| ( member_a @ SV335 @ SV293 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2119]) ).
thf(2192,plain,
! [SV294: set_a] :
( ( ! [SV336: set_Product_prod_a_a] :
( ( total_on_a @ SV294 @ SV336 )
= ( ! [SY621: a] :
( ~ ( member_a @ SY621 @ SV294 )
| ! [SY622: a] :
( ~ ( member_a @ SY622 @ SV294 )
| ~ ( ( SY621 != SY622 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY621 @ SY622 ) @ SV336 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY622 @ SY621 ) @ SV336 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2120]) ).
thf(2193,plain,
! [SV294: set_a] :
( ( ( total_on_a @ SV294 )
= ( ^ [SY575: set_Product_prod_a_a] :
! [SY576: a] :
( ~ ( member_a @ SY576 @ SV294 )
| ! [SY577: a] :
( ~ ( member_a @ SY577 @ SV294 )
| ~ ( ( SY576 != SY577 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY576 @ SY577 ) @ SY575 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY577 @ SY576 ) @ SY575 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2120]) ).
thf(2194,plain,
! [SV337: a,SV295: set_a,SV233: a] :
( ( ! [SY623: set_a] :
( ~ ~ ( member_a @ SV233 @ SV295 )
| ~ ~ ( member_a @ SV337 @ SY623 )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SY623 ) )
= ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SY623 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY624: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY624 ) )
| ~ ~ ( member_a @ SV337 @ SY624 ) )
| ( SY623
!= ( insert_a @ SV233 @ SY624 ) ) )
| ~ ~ ( member_a @ SV233 @ SY624 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2121]) ).
thf(2195,plain,
! [SV234: set_a] :
( ( ( ! [SY482: a] :
~ ( member_a @ SY482 @ SV234 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV234 @ bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2122]) ).
thf(2196,plain,
! [SV296: set_a,SV235: a] :
( ( ( ~ ( member_a @ SV235 @ SV296 ) )
= $true )
| ( ( ( insert_a @ SV235 @ SV296 )
= SV296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2123]) ).
thf(2197,plain,
! [SV338: a,SV297: set_Product_prod_a_a,SV236: set_a] :
( ( ! [SY625: a] :
( ~ ( prefer719835986ence_a @ SV236 @ SV297 )
| ~ ~ ( ~ ( member_a @ SV338 @ SV236 )
| ~ ( member_a @ SY625 @ SV236 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY625 @ SV338 ) @ SV297 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SY625 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY625 @ SV338 ) @ SV297 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2124]) ).
thf(2198,plain,
! [SV298: set_a,SV237: set_a] :
( ( ( ~ ! [SY583: a] :
( ~ ( member_a @ SY583 @ SV237 )
| ( member_a @ SY583 @ SV298 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV237 @ SV298 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2125]) ).
thf(2199,plain,
! [SV299: a,SV238: a] :
( ( ( ~ ( member_a @ SV238 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV299 @ carrier )
| ~ ( ( SV238 != SV299 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV238 @ SV299 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV299 @ SV238 ) @ relation ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2126]) ).
thf(2200,plain,
! [SV339: a,SV300: set_Product_prod_a_a,SV239: set_a] :
( ( ~ ( prefer719835986ence_a @ SV239 @ SV300 )
| ~ ( ( SV239 != bot_bot_set_a ) )
| ~ ( member_a @ SV339 @ SV239 )
| ( ( prefer1676310729than_a @ SV339 @ SV239 @ SV300 )
!= bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2127]) ).
thf(2201,plain,
! [SV340: a,SV301: set_a,SV240: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV240 @ SV301 )
| ~ ( member_a @ SV340 @ SV240 )
| ( member_a @ SV340 @ SV301 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2128]) ).
thf(2202,plain,
! [SV341: set_a,SV302: set_a,SV241: a] :
( ( ~ ~ ( member_a @ SV241 @ SV302 )
| ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
= ( ord_less_eq_set_a @ SV302 @ SV341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2129]) ).
thf(2203,plain,
! [SV303: a,SV242: a] :
( ( ( ~ ( member_a @ SV242 @ ( insert_a @ SV303 @ bot_bot_set_a ) ) )
= $true )
| ( ( SV242 = SV303 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2130]) ).
thf(2204,plain,
! [SV243: set_a] :
( ( ( ! [SY497: a] :
~ ( member_a @ SY497 @ SV243 ) )
= $false )
| ( ( SV243 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2131]) ).
thf(2205,plain,
! [SV244: a] :
( ( ( carrier != bot_bot_set_a )
= $false )
| ( ( ~ ( member_a @ SV244 @ carrier )
| ( ( prefer1676310729than_a @ SV244 @ carrier @ relation )
!= bot_bot_set_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2132]) ).
thf(2206,plain,
! [SV342: a,SV304: set_a,SV245: a] :
( ( ~ ( ~ ~ ( member_a @ SV245 @ SV304 )
| ( SV245 = SV342 ) )
| ( member_a @ SV245 @ ( insert_a @ SV342 @ SV304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2133]) ).
thf(2207,plain,
! [SV343: set_a,SV305: a,SV246: a] :
( ( ~ ( member_a @ SV246 @ ( insert_a @ SV305 @ SV343 ) )
| ~ ( ( SV246 != SV305 ) )
| ( member_a @ SV246 @ SV343 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2134]) ).
thf(2208,plain,
! [SV306: set_Product_prod_a_a,SV247: a] :
( ( ( ~ ( member_a @ SV247 @ ( range_a_a @ SV306 ) ) )
= $true )
| ( ( ~ ! [SY589: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY589 @ SV247 ) @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2135]) ).
thf(2209,plain,
! [SV307: a,SV248: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV248 @ SV307 ) @ relation ) )
= $true )
| ( ( member_a @ SV248 @ carrier )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2136]) ).
thf(2210,plain,
! [SV344: a > $o,SV308: set_Product_prod_a_a,SV249: a] :
( ( ~ ( member_a @ SV249 @ ( range_a_a @ SV308 ) )
| ~ ! [SY626: a,SY627: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY626 @ SY627 ) @ SV308 )
| ( SV344 @ SY627 ) )
| ( SV344 @ SV249 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2137]) ).
thf(2211,plain,
! [SV250: set_a] :
( ( ( ~ ( ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ( SV250 != bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ~ ( ( SV250 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2138]) ).
thf(2212,plain,
! [SV251: a] :
( ( ( member_a @ SV251 @ carrier )
= $false )
| ( ( ! [SY510: a] :
( ~ ( member_a @ SY510 @ carrier )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV251 @ SY510 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY510 @ SV251 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2140]) ).
thf(2213,plain,
! [SV345: a,SV309: set_Product_prod_a_a,SV252: set_a] :
( ( ! [SY628: a] :
( ~ ( refl_on_a @ SV252 @ SV309 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV345 @ SY628 ) @ SV309 )
| ~ ( ~ ( member_a @ SV345 @ SV252 )
| ~ ( member_a @ SY628 @ SV252 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2141]) ).
thf(2214,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ~ ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
| ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) )
| ~ ( ~ ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
| ~ ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2142]) ).
thf(2215,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
= ( ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2142]) ).
thf(2216,plain,
! [SV254: set_a] :
( ( ( SV254 != bot_bot_set_a )
= $false )
| ( ( ~ ! [SY516: a,SY517: a] :
( ~ ( member_a @ SY516 @ SV254 )
| ~ ( member_a @ SY517 @ SV254 )
| ( SY516 = SY517 ) )
| ( is_singleton_a @ SV254 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2143]) ).
thf(2217,plain,
! [SV346: a,SV311: a,SV255: a] :
( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV255 @ carrier )
| ~ ( member_a @ SV311 @ carrier ) )
| ~ ( member_a @ SV346 @ carrier ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2144]) ).
thf(2218,plain,
! [SV347: a,SV312: set_Product_prod_a_a,SV256: set_a] :
( ( ~ ( refl_on_a @ SV256 @ SV312 )
| ~ ( member_a @ SV347 @ SV256 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV347 @ SV347 ) @ SV312 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2145]) ).
thf(2219,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV257 @ carrier )
| ~ ( member_a @ SV313 @ carrier ) )
| ~ ( member_a @ SV348 @ carrier ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2146]) ).
thf(2220,plain,
! [SV349: a,SV314: set_a,SV258: a] :
( ( ~ ( member_a @ SV258 @ SV314 )
| ( member_a @ SV258 @ ( insert_a @ SV349 @ SV314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2147]) ).
thf(2221,plain,
! [SV350: a,SV315: set_Product_prod_a_a,SV259: set_a] :
( ( ! [SY629: a] :
( ~ ( refl_on_a @ SV259 @ SV315 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV350 @ SY629 ) @ SV315 )
| ( member_a @ SV350 @ SV259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2148]) ).
thf(2222,plain,
! [SV316: set_Product_prod_a_a,SV260: set_a] :
( ( ( ~ ( prefer719835986ence_a @ SV260 @ SV316 ) )
= $true )
| ( ( ! [SY602: a] :
( ~ ( member_a @ SY602 @ SV260 )
| ! [SY603: a] :
( ~ ( member_a @ SY603 @ SV260 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY602 @ SY603 ) @ SV316 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY603 @ SY602 ) @ SV316 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2149]) ).
thf(2223,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ~ ~ ( member_a @ SV261 @ SV317 )
| ~ ~ ( member_a @ SV261 @ SV351 )
| ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= ( SV317 = SV351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2150]) ).
thf(2224,plain,
! [SV352: a,SV318: set_Product_prod_a_a,SV262: set_a] :
( ( ! [SY630: a] :
( ~ ( refl_on_a @ SV262 @ SV318 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV352 @ SY630 ) @ SV318 )
| ( member_a @ SY630 @ SV262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2151]) ).
thf(2225,plain,
! [SV319: set_a,SV263: a] :
( ( ( ~ ( member_a @ SV263 @ SV319 ) )
= $true )
| ( ( ~ ! [SY607: set_a] :
~ ~ ( ( SV319
!= ( insert_a @ SV263 @ SY607 ) )
| ~ ~ ( member_a @ SV263 @ SY607 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2152]) ).
thf(2226,plain,
! [SV353: a,SV320: set_Product_prod_a_a,SV264: set_a] :
( ( ! [SY631: a,SY632: a] :
( ~ ( prefer719835986ence_a @ SV264 @ SV320 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SV353 @ SV264 )
| ~ ( member_a @ SY631 @ SV264 ) )
| ~ ( member_a @ SY632 @ SV264 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SY631 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY631 @ SY632 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SY632 ) @ SV320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2153]) ).
thf(2227,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV265 @ carrier )
| ~ ( member_a @ SV321 @ carrier ) ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2154]) ).
thf(2228,plain,
! [SV354: set_a,SV322: set_a,SV266: a] :
( ( ~ ( member_a @ SV266 @ SV322 )
| ~ ( ord_less_eq_set_a @ SV354 @ SV322 )
| ( ord_less_eq_set_a @ ( insert_a @ SV266 @ SV354 ) @ SV322 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2155]) ).
thf(2229,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= ( ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2156]) ).
thf(2230,plain,
! [SV268: a > $o,SV201: a] :
( ( ( ~ ( ( member_a @ SV201 @ ( collect_a @ SV268 ) )
| ( SV268 @ SV201 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV201 @ ( collect_a @ SV268 ) )
| ~ ( SV268 @ SV201 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2157]) ).
thf(2231,plain,
! [SV205: set_a] :
( ( ( ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 )
| ( SV205 = bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 )
| ( SV205 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2160]) ).
thf(2232,plain,
! [SV270: a] :
( ( ( ~ ( ( bot_bot_a_o @ SV270 )
| ( member_a @ SV270 @ bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ~ ( bot_bot_a_o @ SV270 )
| ~ ( member_a @ SV270 @ bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2161]) ).
thf(2233,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ~ ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
| ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) )
| ~ ( ~ ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
| ~ ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2163]) ).
thf(2234,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
= ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2163]) ).
thf(2235,plain,
! [SV272: a,SV210: a] :
( ( ( ~ ( ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
| ( SV210 = SV272 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
| ( SV210 != SV272 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2164]) ).
thf(2236,plain,
! [SV274: set_a,SV212: a] :
( ( ( ~ ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
| ~ ( member_a @ SV212 @ SV274 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
| ~ ~ ( member_a @ SV212 @ SV274 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2166]) ).
thf(2237,plain,
! [SV356: set_Product_prod_a_a,SV325: set_a,SV275: a,SV213: a] :
( ( ~ ( member_a @ SV213 @ ( prefer161218362good_a @ SV275 @ SV325 @ SV356 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV213 @ SV275 ) @ SV356 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2168]) ).
thf(2238,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2169]) ).
thf(2239,plain,
! [SV326: set_a,SV277: a,SV215: a] :
( ( ( SV215 != SV277 )
= $true )
| ( ( ~ ( member_a @ SV215 @ SV326 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV215 @ SV277 ) @ ( id_on_a @ SV326 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2171]) ).
thf(2240,plain,
! [SV278: a,SV216: set_a] :
( ( ( SV216 = bot_bot_set_a )
= $false )
| ( ( ~ ( member_a @ SV278 @ SV216 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2172]) ).
thf(2241,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= ( ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2173]) ).
thf(2242,plain,
! [SV280: set_a,SV218: product_prod_a_a] :
( ( ( member449909584od_a_a @ SV218 @ ( id_on_a @ SV280 ) )
= $false )
| ( ( ~ ! [SY556: a] :
( ~ ( member_a @ SY556 @ SV280 )
| ( SV218
!= ( product_Pair_a_a @ SY556 @ SY556 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2175]) ).
thf(2243,plain,
! [SV328: set_a,SV281: set_a,SV219: a] :
( ( ~ ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2176]) ).
thf(2244,plain,
! [SV328: set_a,SV281: set_a,SV219: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= ( ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2176]) ).
thf(2245,plain,
! [SV282: set_Product_prod_a_a,SV220: set_a] :
( ( ( ! [SY558: a,SY559: a] :
( ~ ( member_a @ SY558 @ SV220 )
| ~ ( member_a @ SY559 @ SV220 )
| ~ ( ( SY558 != SY559 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY558 @ SY559 ) @ SV282 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY559 @ SY558 ) @ SV282 ) ) )
= $false )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2177]) ).
thf(2246,plain,
! [SV283: set_a,SV221: a] :
( ( ( member_a @ SV221 @ SV283 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV221 @ SV221 ) @ ( id_on_a @ SV283 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2178]) ).
thf(2247,plain,
! [SV284: set_a,SV222: a] :
( ( ( member_a @ SV222 @ SV284 )
= $false )
| ( ( ~ ! [SY560: set_a] :
( ( SV284
!= ( insert_a @ SV222 @ SY560 ) )
| ( member_a @ SV222 @ SY560 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2179]) ).
thf(2248,plain,
! [SV329: set_Product_prod_a_a,SV285: a,SV223: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV223 @ SV285 ) @ SV329 ) )
= $true )
| ( ( member_a @ SV285 @ ( range_a_a @ SV329 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2180]) ).
thf(2249,plain,
! [SV358: a,SV330: a,SV286: set_Product_prod_a_a,SV224: set_a] :
( ( ! [SY634: a] :
( ~ ( prefer719835986ence_a @ SV224 @ SV286 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SV330 @ SV224 )
| ~ ( member_a @ SV358 @ SV224 ) )
| ~ ( member_a @ SY634 @ SV224 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SY634 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY634 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY634 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SY634 ) @ SV286 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2181]) ).
thf(2250,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= ( ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2184]) ).
thf(2251,plain,
! [SV360: a,SV332: a,SV288: set_Product_prod_a_a,SV226: set_a] :
( ( ~ ( prefer1292084992ence_a @ SV226 @ SV288 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV332 @ SV360 ) @ SV288 )
| ( member_a @ SV332 @ SV226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2186]) ).
thf(2252,plain,
! [SV289: set_Product_prod_a_a,SV227: a] :
( ( ( member_a @ SV227 @ ( range_a_a @ SV289 ) )
= $false )
| ( ( ~ ! [SY569: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY569 @ SV227 ) @ SV289 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2187]) ).
thf(2253,plain,
! [SV290: set_a,SV228: a] :
( ( ( ~ ( member_a @ SV228 @ SV290 ) )
= $false )
| ( ( member_a @ SV228 @ ( uminus_uminus_set_a @ SV290 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2188]) ).
thf(2254,plain,
! [SV361: a,SV333: a,SV291: set_Product_prod_a_a,SV229: set_a] :
( ( ~ ( prefer719835986ence_a @ SV229 @ SV291 )
| ~ ( member_a @ SV333 @ SV229 )
| ~ ( member_a @ SV361 @ SV229 )
| ~ ( ( SV333 != SV361 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV333 @ SV361 ) @ SV291 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV361 @ SV333 ) @ SV291 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2189]) ).
thf(2255,plain,
! [SV362: set_Product_prod_a_a,SV334: set_a,SV292: a,SV230: a] :
( ( ~ ( member_a @ SV230 @ ( prefer161218362good_a @ SV292 @ SV334 @ SV362 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV230 @ SV292 ) @ SV362 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2190]) ).
thf(2256,plain,
! [SV335: a,SV293: set_a,SV231: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV231 @ SV293 ) )
= $true )
| ( ( ~ ( member_a @ SV335 @ SV231 )
| ( member_a @ SV335 @ SV293 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2191]) ).
thf(2257,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( total_on_a @ SV294 @ SV363 )
= ( ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2192]) ).
thf(2258,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ~ ~ ( member_a @ SV233 @ SV295 )
| ~ ~ ( member_a @ SV337 @ SV364 )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2194]) ).
thf(2259,plain,
! [SV234: set_a] :
( ( ( ~ ( member_a @ ( sK33_SY482 @ SV234 ) @ SV234 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV234 @ bot_bot_set_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2195]) ).
thf(2260,plain,
! [SV296: set_a,SV235: a] :
( ( ( member_a @ SV235 @ SV296 )
= $false )
| ( ( ( insert_a @ SV235 @ SV296 )
= SV296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2196]) ).
thf(2261,plain,
! [SV365: a,SV338: a,SV297: set_Product_prod_a_a,SV236: set_a] :
( ( ~ ( prefer719835986ence_a @ SV236 @ SV297 )
| ~ ~ ( ~ ( member_a @ SV338 @ SV236 )
| ~ ( member_a @ SV365 @ SV236 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2197]) ).
thf(2262,plain,
! [SV298: set_a,SV237: set_a] :
( ( ( ! [SY583: a] :
( ~ ( member_a @ SY583 @ SV237 )
| ( member_a @ SY583 @ SV298 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV237 @ SV298 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2198]) ).
thf(2263,plain,
! [SV299: a,SV238: a] :
( ( ( member_a @ SV238 @ carrier )
= $false )
| ( ( ~ ( member_a @ SV299 @ carrier )
| ~ ( ( SV238 != SV299 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV238 @ SV299 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV299 @ SV238 ) @ relation ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2199]) ).
thf(2264,plain,
! [SV339: a,SV300: set_Product_prod_a_a,SV239: set_a] :
( ( ( ~ ( prefer719835986ence_a @ SV239 @ SV300 ) )
= $true )
| ( ( ~ ( ( SV239 != bot_bot_set_a ) )
| ~ ( member_a @ SV339 @ SV239 )
| ( ( prefer1676310729than_a @ SV339 @ SV239 @ SV300 )
!= bot_bot_set_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2200]) ).
thf(2265,plain,
! [SV340: a,SV301: set_a,SV240: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV240 @ SV301 ) )
= $true )
| ( ( ~ ( member_a @ SV340 @ SV240 )
| ( member_a @ SV340 @ SV301 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2201]) ).
thf(2266,plain,
! [SV341: set_a,SV302: set_a,SV241: a] :
( ( ( ~ ~ ( member_a @ SV241 @ SV302 ) )
= $true )
| ( ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
= ( ord_less_eq_set_a @ SV302 @ SV341 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2202]) ).
thf(2267,plain,
! [SV303: a,SV242: a] :
( ( ( member_a @ SV242 @ ( insert_a @ SV303 @ bot_bot_set_a ) )
= $false )
| ( ( SV242 = SV303 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2203]) ).
thf(2268,plain,
! [SV243: set_a] :
( ( ( ~ ( member_a @ ( sK34_SY497 @ SV243 ) @ SV243 ) )
= $false )
| ( ( SV243 = bot_bot_set_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2204]) ).
thf(2269,plain,
! [SV244: a] :
( ( ( carrier = bot_bot_set_a )
= $true )
| ( ( ~ ( member_a @ SV244 @ carrier )
| ( ( prefer1676310729than_a @ SV244 @ carrier @ relation )
!= bot_bot_set_a ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2205]) ).
thf(2270,plain,
! [SV342: a,SV304: set_a,SV245: a] :
( ( ( ~ ( ~ ~ ( member_a @ SV245 @ SV304 )
| ( SV245 = SV342 ) ) )
= $true )
| ( ( member_a @ SV245 @ ( insert_a @ SV342 @ SV304 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2206]) ).
thf(2271,plain,
! [SV343: set_a,SV305: a,SV246: a] :
( ( ( ~ ( member_a @ SV246 @ ( insert_a @ SV305 @ SV343 ) ) )
= $true )
| ( ( ~ ( ( SV246 != SV305 ) )
| ( member_a @ SV246 @ SV343 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2207]) ).
thf(2272,plain,
! [SV306: set_Product_prod_a_a,SV247: a] :
( ( ( member_a @ SV247 @ ( range_a_a @ SV306 ) )
= $false )
| ( ( ~ ! [SY589: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY589 @ SV247 ) @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2208]) ).
thf(2273,plain,
! [SV307: a,SV248: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV248 @ SV307 ) @ relation )
= $false )
| ( ( member_a @ SV248 @ carrier )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2209]) ).
thf(2274,plain,
! [SV344: a > $o,SV308: set_Product_prod_a_a,SV249: a] :
( ( ( ~ ( member_a @ SV249 @ ( range_a_a @ SV308 ) ) )
= $true )
| ( ( ~ ! [SY626: a,SY627: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY626 @ SY627 ) @ SV308 )
| ( SV344 @ SY627 ) )
| ( SV344 @ SV249 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2210]) ).
thf(2275,plain,
! [SV250: set_a] :
( ( ( ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ( SV250 != bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ~ ( ( SV250 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2211]) ).
thf(2276,plain,
! [SV251: a,SV366: a] :
( ( ( ~ ( member_a @ SV366 @ carrier )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV251 @ SV366 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV366 @ SV251 ) @ relation ) )
= $true )
| ( ( member_a @ SV251 @ carrier )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2212]) ).
thf(2277,plain,
! [SV367: a,SV345: a,SV309: set_Product_prod_a_a,SV252: set_a] :
( ( ~ ( refl_on_a @ SV252 @ SV309 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV345 @ SV367 ) @ SV309 )
| ~ ( ~ ( member_a @ SV345 @ SV252 )
| ~ ( member_a @ SV367 @ SV252 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2213]) ).
thf(2278,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ~ ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
| ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
| ~ ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2214]) ).
thf(2279,plain,
! [SV254: set_a] :
( ( ( SV254 = bot_bot_set_a )
= $true )
| ( ( ~ ! [SY516: a,SY517: a] :
( ~ ( member_a @ SY516 @ SV254 )
| ~ ( member_a @ SY517 @ SV254 )
| ( SY516 = SY517 ) )
| ( is_singleton_a @ SV254 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2216]) ).
thf(2280,plain,
! [SV346: a,SV311: a,SV255: a] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV255 @ carrier )
| ~ ( member_a @ SV311 @ carrier ) )
| ~ ( member_a @ SV346 @ carrier ) ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2217]) ).
thf(2281,plain,
! [SV347: a,SV312: set_Product_prod_a_a,SV256: set_a] :
( ( ( ~ ( refl_on_a @ SV256 @ SV312 ) )
= $true )
| ( ( ~ ( member_a @ SV347 @ SV256 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV347 @ SV347 ) @ SV312 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2218]) ).
thf(2282,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV257 @ carrier )
| ~ ( member_a @ SV313 @ carrier ) )
| ~ ( member_a @ SV348 @ carrier ) ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2219]) ).
thf(2283,plain,
! [SV349: a,SV314: set_a,SV258: a] :
( ( ( ~ ( member_a @ SV258 @ SV314 ) )
= $true )
| ( ( member_a @ SV258 @ ( insert_a @ SV349 @ SV314 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2220]) ).
thf(2284,plain,
! [SV368: a,SV350: a,SV315: set_Product_prod_a_a,SV259: set_a] :
( ( ~ ( refl_on_a @ SV259 @ SV315 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV350 @ SV368 ) @ SV315 )
| ( member_a @ SV350 @ SV259 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2221]) ).
thf(2285,plain,
! [SV316: set_Product_prod_a_a,SV260: set_a] :
( ( ( prefer719835986ence_a @ SV260 @ SV316 )
= $false )
| ( ( ! [SY602: a] :
( ~ ( member_a @ SY602 @ SV260 )
| ! [SY603: a] :
( ~ ( member_a @ SY603 @ SV260 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY602 @ SY603 ) @ SV316 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY603 @ SY602 ) @ SV316 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2222]) ).
thf(2286,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( ~ ~ ( member_a @ SV261 @ SV317 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV261 @ SV351 )
| ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= ( SV317 = SV351 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2223]) ).
thf(2287,plain,
! [SV369: a,SV352: a,SV318: set_Product_prod_a_a,SV262: set_a] :
( ( ~ ( refl_on_a @ SV262 @ SV318 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV352 @ SV369 ) @ SV318 )
| ( member_a @ SV369 @ SV262 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2224]) ).
thf(2288,plain,
! [SV319: set_a,SV263: a] :
( ( ( member_a @ SV263 @ SV319 )
= $false )
| ( ( ~ ! [SY607: set_a] :
~ ~ ( ( SV319
!= ( insert_a @ SV263 @ SY607 ) )
| ~ ~ ( member_a @ SV263 @ SY607 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2225]) ).
thf(2289,plain,
! [SV370: a,SV353: a,SV320: set_Product_prod_a_a,SV264: set_a] :
( ( ! [SY639: a] :
( ~ ( prefer719835986ence_a @ SV264 @ SV320 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SV353 @ SV264 )
| ~ ( member_a @ SV370 @ SV264 ) )
| ~ ( member_a @ SY639 @ SV264 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SY639 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SY639 ) @ SV320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2226]) ).
thf(2290,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ( ~ ( member_a @ SV265 @ carrier )
| ~ ( member_a @ SV321 @ carrier ) ) )
= $false )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2227]) ).
thf(2291,plain,
! [SV354: set_a,SV322: set_a,SV266: a] :
( ( ( ~ ( member_a @ SV266 @ SV322 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV354 @ SV322 )
| ( ord_less_eq_set_a @ ( insert_a @ SV266 @ SV354 ) @ SV322 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2228]) ).
thf(2292,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ~ ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2229]) ).
thf(2293,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= ( ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2229]) ).
thf(2294,plain,
! [SV268: a > $o,SV201: a] :
( ( ( ( member_a @ SV201 @ ( collect_a @ SV268 ) )
| ( SV268 @ SV201 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV201 @ ( collect_a @ SV268 ) )
| ~ ( SV268 @ SV201 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2230]) ).
thf(2295,plain,
! [SV205: set_a] :
( ( ( ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 )
| ( SV205 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2231]) ).
thf(2296,plain,
! [SV205: set_a] :
( ( ( SV205 = bot_bot_set_a )
= $false )
| ( ( ~ ( ~ ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 )
| ( SV205 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2231]) ).
thf(2297,plain,
! [SV270: a] :
( ( ( ( bot_bot_a_o @ SV270 )
| ( member_a @ SV270 @ bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ( bot_bot_a_o @ SV270 )
| ~ ( member_a @ SV270 @ bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2232]) ).
thf(2298,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ~ ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
| ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
| ~ ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2233]) ).
thf(2299,plain,
! [SV272: a,SV210: a] :
( ( ( ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
| ( SV210 = SV272 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
| ( SV210 != SV272 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2235]) ).
thf(2300,plain,
! [SV274: set_a,SV212: a] :
( ( ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
| ~ ( member_a @ SV212 @ SV274 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
| ~ ~ ( member_a @ SV212 @ SV274 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2236]) ).
thf(2301,plain,
! [SV356: set_Product_prod_a_a,SV325: set_a,SV275: a,SV213: a] :
( ( ( ~ ( member_a @ SV213 @ ( prefer161218362good_a @ SV275 @ SV325 @ SV356 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV213 @ SV275 ) @ SV356 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2237]) ).
thf(2302,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2238]) ).
thf(2303,plain,
! [SV326: set_a,SV277: a,SV215: a] :
( ( ( SV215 = SV277 )
= $false )
| ( ( ~ ( member_a @ SV215 @ SV326 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV215 @ SV277 ) @ ( id_on_a @ SV326 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2239]) ).
thf(2304,plain,
! [SV216: set_a,SV278: a] :
( ( ( member_a @ SV278 @ SV216 )
= $false )
| ( ( SV216 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2240]) ).
thf(2305,plain,
! [SV357: set_a,SV279: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV279 @ SV357 )
| ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 )
| ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2241]) ).
thf(2306,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= ( ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2241]) ).
thf(2307,plain,
! [SV218: product_prod_a_a,SV280: set_a] :
( ( ( ! [SY556: a] :
( ~ ( member_a @ SY556 @ SV280 )
| ( SV218
!= ( product_Pair_a_a @ SY556 @ SY556 ) ) ) )
= $false )
| ( ( member449909584od_a_a @ SV218 @ ( id_on_a @ SV280 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2242]) ).
thf(2308,plain,
! [SV328: set_a,SV281: set_a,SV219: a] :
( ( ( ~ ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2243]) ).
thf(2309,plain,
! [SV220: set_a,SV282: set_Product_prod_a_a] :
( ( ( ! [SY640: a] :
( ~ ( member_a @ ( sK35_SY558 @ SV282 @ SV220 ) @ SV220 )
| ~ ( member_a @ SY640 @ SV220 )
| ~ ( ( ( sK35_SY558 @ SV282 @ SV220 )
!= SY640 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK35_SY558 @ SV282 @ SV220 ) @ SY640 ) @ SV282 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY640 @ ( sK35_SY558 @ SV282 @ SV220 ) ) @ SV282 ) ) )
= $false )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2245]) ).
thf(2310,plain,
! [SV222: a,SV284: set_a] :
( ( ( ! [SY560: set_a] :
( ( SV284
!= ( insert_a @ SV222 @ SY560 ) )
| ( member_a @ SV222 @ SY560 ) ) )
= $false )
| ( ( member_a @ SV222 @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2247]) ).
thf(2311,plain,
! [SV329: set_Product_prod_a_a,SV285: a,SV223: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV223 @ SV285 ) @ SV329 )
= $false )
| ( ( member_a @ SV285 @ ( range_a_a @ SV329 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2248]) ).
thf(2312,plain,
! [SV371: a,SV358: a,SV330: a,SV286: set_Product_prod_a_a,SV224: set_a] :
( ( ~ ( prefer719835986ence_a @ SV224 @ SV286 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SV330 @ SV224 )
| ~ ( member_a @ SV358 @ SV224 ) )
| ~ ( member_a @ SV371 @ SV224 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2249]) ).
thf(2313,plain,
! [SV359: set_a,SV287: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV287 @ SV359 )
| ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 )
| ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2250]) ).
thf(2314,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= ( ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2250]) ).
thf(2315,plain,
! [SV360: a,SV332: a,SV288: set_Product_prod_a_a,SV226: set_a] :
( ( ( ~ ( prefer1292084992ence_a @ SV226 @ SV288 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV332 @ SV360 ) @ SV288 )
| ( member_a @ SV332 @ SV226 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2251]) ).
thf(2316,plain,
! [SV289: set_Product_prod_a_a,SV227: a] :
( ( ( ! [SY569: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY569 @ SV227 ) @ SV289 ) )
= $false )
| ( ( member_a @ SV227 @ ( range_a_a @ SV289 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2252]) ).
thf(2317,plain,
! [SV290: set_a,SV228: a] :
( ( ( member_a @ SV228 @ SV290 )
= $true )
| ( ( member_a @ SV228 @ ( uminus_uminus_set_a @ SV290 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2253]) ).
thf(2318,plain,
! [SV361: a,SV333: a,SV291: set_Product_prod_a_a,SV229: set_a] :
( ( ( ~ ( prefer719835986ence_a @ SV229 @ SV291 ) )
= $true )
| ( ( ~ ( member_a @ SV333 @ SV229 )
| ~ ( member_a @ SV361 @ SV229 )
| ~ ( ( SV333 != SV361 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV333 @ SV361 ) @ SV291 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV361 @ SV333 ) @ SV291 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2254]) ).
thf(2319,plain,
! [SV362: set_Product_prod_a_a,SV334: set_a,SV292: a,SV230: a] :
( ( ( ~ ( member_a @ SV230 @ ( prefer161218362good_a @ SV292 @ SV334 @ SV362 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV230 @ SV292 ) @ SV362 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2255]) ).
thf(2320,plain,
! [SV335: a,SV293: set_a,SV231: set_a] :
( ( ( ord_less_eq_set_a @ SV231 @ SV293 )
= $false )
| ( ( ~ ( member_a @ SV335 @ SV231 )
| ( member_a @ SV335 @ SV293 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2256]) ).
thf(2321,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ~ ( ( total_on_a @ SV294 @ SV363 )
| ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
| ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2257]) ).
thf(2322,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( total_on_a @ SV294 @ SV363 )
= ( ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2257]) ).
thf(2323,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ~ ~ ( member_a @ SV233 @ SV295 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV337 @ SV364 )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2258]) ).
thf(2324,plain,
! [SV234: set_a] :
( ( ( member_a @ ( sK33_SY482 @ SV234 ) @ SV234 )
= $true )
| ( ( ord_less_eq_set_a @ SV234 @ bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2259]) ).
thf(2325,plain,
! [SV365: a,SV338: a,SV297: set_Product_prod_a_a,SV236: set_a] :
( ( ( ~ ( prefer719835986ence_a @ SV236 @ SV297 ) )
= $true )
| ( ( ~ ~ ( ~ ( member_a @ SV338 @ SV236 )
| ~ ( member_a @ SV365 @ SV236 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2261]) ).
thf(2326,plain,
! [SV237: set_a,SV298: set_a] :
( ( ( ~ ( member_a @ ( sK36_SY583 @ SV298 @ SV237 ) @ SV237 )
| ( member_a @ ( sK36_SY583 @ SV298 @ SV237 ) @ SV298 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV237 @ SV298 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2262]) ).
thf(2327,plain,
! [SV238: a,SV299: a] :
( ( ( ~ ( member_a @ SV299 @ carrier ) )
= $true )
| ( ( ~ ( ( SV238 != SV299 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV238 @ SV299 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV299 @ SV238 ) @ relation ) )
= $true )
| ( ( member_a @ SV238 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2263]) ).
thf(2328,plain,
! [SV339: a,SV300: set_Product_prod_a_a,SV239: set_a] :
( ( ( prefer719835986ence_a @ SV239 @ SV300 )
= $false )
| ( ( ~ ( ( SV239 != bot_bot_set_a ) )
| ~ ( member_a @ SV339 @ SV239 )
| ( ( prefer1676310729than_a @ SV339 @ SV239 @ SV300 )
!= bot_bot_set_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2264]) ).
thf(2329,plain,
! [SV340: a,SV301: set_a,SV240: set_a] :
( ( ( ord_less_eq_set_a @ SV240 @ SV301 )
= $false )
| ( ( ~ ( member_a @ SV340 @ SV240 )
| ( member_a @ SV340 @ SV301 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2265]) ).
thf(2330,plain,
! [SV341: set_a,SV302: set_a,SV241: a] :
( ( ( ~ ( member_a @ SV241 @ SV302 ) )
= $false )
| ( ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
= ( ord_less_eq_set_a @ SV302 @ SV341 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2266]) ).
thf(2331,plain,
! [SV243: set_a] :
( ( ( member_a @ ( sK34_SY497 @ SV243 ) @ SV243 )
= $true )
| ( ( SV243 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2268]) ).
thf(2332,plain,
! [SV244: a] :
( ( ( ~ ( member_a @ SV244 @ carrier ) )
= $true )
| ( ( ( prefer1676310729than_a @ SV244 @ carrier @ relation )
!= bot_bot_set_a )
= $true )
| ( ( carrier = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2269]) ).
thf(2333,plain,
! [SV342: a,SV304: set_a,SV245: a] :
( ( ( ~ ~ ( member_a @ SV245 @ SV304 )
| ( SV245 = SV342 ) )
= $false )
| ( ( member_a @ SV245 @ ( insert_a @ SV342 @ SV304 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2270]) ).
thf(2334,plain,
! [SV343: set_a,SV305: a,SV246: a] :
( ( ( member_a @ SV246 @ ( insert_a @ SV305 @ SV343 ) )
= $false )
| ( ( ~ ( ( SV246 != SV305 ) )
| ( member_a @ SV246 @ SV343 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2271]) ).
thf(2335,plain,
! [SV306: set_Product_prod_a_a,SV247: a] :
( ( ( ! [SY589: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY589 @ SV247 ) @ SV306 ) )
= $false )
| ( ( member_a @ SV247 @ ( range_a_a @ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2272]) ).
thf(2336,plain,
! [SV344: a > $o,SV308: set_Product_prod_a_a,SV249: a] :
( ( ( member_a @ SV249 @ ( range_a_a @ SV308 ) )
= $false )
| ( ( ~ ! [SY626: a,SY627: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY626 @ SY627 ) @ SV308 )
| ( SV344 @ SY627 ) )
| ( SV344 @ SV249 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2274]) ).
thf(2337,plain,
! [SV250: set_a] :
( ( ( ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ~ ( ( SV250 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2275]) ).
thf(2338,plain,
! [SV250: set_a] :
( ( ( SV250 != bot_bot_set_a )
= $false )
| ( ( ~ ( ~ ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ~ ( ( SV250 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2275]) ).
thf(2339,plain,
! [SV251: a,SV366: a] :
( ( ( ~ ( member_a @ SV366 @ carrier ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV251 @ SV366 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV366 @ SV251 ) @ relation ) )
= $true )
| ( ( member_a @ SV251 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2276]) ).
thf(2340,plain,
! [SV367: a,SV345: a,SV309: set_Product_prod_a_a,SV252: set_a] :
( ( ( ~ ( refl_on_a @ SV252 @ SV309 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV345 @ SV367 ) @ SV309 )
| ~ ( ~ ( member_a @ SV345 @ SV252 )
| ~ ( member_a @ SV367 @ SV252 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2277]) ).
thf(2341,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
| ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
| ~ ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2278]) ).
thf(2342,plain,
! [SV254: set_a] :
( ( ( ~ ! [SY516: a,SY517: a] :
( ~ ( member_a @ SY516 @ SV254 )
| ~ ( member_a @ SY517 @ SV254 )
| ( SY516 = SY517 ) ) )
= $true )
| ( ( is_singleton_a @ SV254 )
= $true )
| ( ( SV254 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2279]) ).
thf(2343,plain,
! [SV346: a,SV311: a,SV255: a] :
( ( ( ~ ( ~ ~ ( ~ ( member_a @ SV255 @ carrier )
| ~ ( member_a @ SV311 @ carrier ) )
| ~ ( member_a @ SV346 @ carrier ) ) )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2280]) ).
thf(2344,plain,
! [SV347: a,SV312: set_Product_prod_a_a,SV256: set_a] :
( ( ( refl_on_a @ SV256 @ SV312 )
= $false )
| ( ( ~ ( member_a @ SV347 @ SV256 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV347 @ SV347 ) @ SV312 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2281]) ).
thf(2345,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ( ~ ( ~ ~ ( ~ ( member_a @ SV257 @ carrier )
| ~ ( member_a @ SV313 @ carrier ) )
| ~ ( member_a @ SV348 @ carrier ) ) )
= $false )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2282]) ).
thf(2346,plain,
! [SV349: a,SV314: set_a,SV258: a] :
( ( ( member_a @ SV258 @ SV314 )
= $false )
| ( ( member_a @ SV258 @ ( insert_a @ SV349 @ SV314 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2283]) ).
thf(2347,plain,
! [SV368: a,SV350: a,SV315: set_Product_prod_a_a,SV259: set_a] :
( ( ( ~ ( refl_on_a @ SV259 @ SV315 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV350 @ SV368 ) @ SV315 )
| ( member_a @ SV350 @ SV259 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2284]) ).
thf(2348,plain,
! [SV316: set_Product_prod_a_a,SV260: set_a,SV372: a] :
( ( ( ~ ( member_a @ SV372 @ SV260 )
| ! [SY641: a] :
( ~ ( member_a @ SY641 @ SV260 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV372 @ SY641 ) @ SV316 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY641 @ SV372 ) @ SV316 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV260 @ SV316 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2285]) ).
thf(2349,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( ~ ( member_a @ SV261 @ SV317 ) )
= $false )
| ( ( ~ ~ ( member_a @ SV261 @ SV351 )
| ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= ( SV317 = SV351 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2286]) ).
thf(2350,plain,
! [SV369: a,SV352: a,SV318: set_Product_prod_a_a,SV262: set_a] :
( ( ( ~ ( refl_on_a @ SV262 @ SV318 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV352 @ SV369 ) @ SV318 )
| ( member_a @ SV369 @ SV262 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2287]) ).
thf(2351,plain,
! [SV263: a,SV319: set_a] :
( ( ( ! [SY607: set_a] :
~ ~ ( ( SV319
!= ( insert_a @ SV263 @ SY607 ) )
| ~ ~ ( member_a @ SV263 @ SY607 ) ) )
= $false )
| ( ( member_a @ SV263 @ SV319 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2288]) ).
thf(2352,plain,
! [SV373: a,SV370: a,SV353: a,SV320: set_Product_prod_a_a,SV264: set_a] :
( ( ~ ( prefer719835986ence_a @ SV264 @ SV320 )
| ~ ~ ( ~ ~ ( ~ ( member_a @ SV353 @ SV264 )
| ~ ( member_a @ SV370 @ SV264 ) )
| ~ ( member_a @ SV373 @ SV264 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2289]) ).
thf(2353,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ( member_a @ SV265 @ carrier )
| ~ ( member_a @ SV321 @ carrier ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2290]) ).
thf(2354,plain,
! [SV354: set_a,SV322: set_a,SV266: a] :
( ( ( member_a @ SV266 @ SV322 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV354 @ SV322 )
| ( ord_less_eq_set_a @ ( insert_a @ SV266 @ SV354 ) @ SV322 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2291]) ).
thf(2355,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ~ ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2292]) ).
thf(2356,plain,
! [SV268: a > $o,SV201: a] :
( ( ( member_a @ SV201 @ ( collect_a @ SV268 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV201 @ ( collect_a @ SV268 ) )
| ~ ( SV268 @ SV201 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2294]) ).
thf(2357,plain,
! [SV201: a,SV268: a > $o] :
( ( ( SV268 @ SV201 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV201 @ ( collect_a @ SV268 ) )
| ~ ( SV268 @ SV201 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2294]) ).
thf(2358,plain,
! [SV205: set_a] :
( ( ( ~ ( member_a @ ( sK37_SY426 @ SV205 ) @ SV205 ) )
= $false )
| ( ( ~ ( ~ ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 )
| ( SV205 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2295]) ).
thf(2359,plain,
! [SV205: set_a] :
( ( ( ~ ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 )
| ( SV205 != bot_bot_set_a ) )
= $false )
| ( ( SV205 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2296]) ).
thf(2360,plain,
! [SV270: a] :
( ( ( bot_bot_a_o @ SV270 )
= $false )
| ( ( ~ ( ~ ( bot_bot_a_o @ SV270 )
| ~ ( member_a @ SV270 @ bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2297]) ).
thf(2361,plain,
! [SV270: a] :
( ( ( member_a @ SV270 @ bot_bot_set_a )
= $false )
| ( ( ~ ( ~ ( bot_bot_a_o @ SV270 )
| ~ ( member_a @ SV270 @ bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2297]) ).
thf(2362,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
| ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
| ~ ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2298]) ).
thf(2363,plain,
! [SV272: a,SV210: a] :
( ( ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
| ( SV210 != SV272 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2299]) ).
thf(2364,plain,
! [SV272: a,SV210: a] :
( ( ( SV210 = SV272 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
| ( SV210 != SV272 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2299]) ).
thf(2365,plain,
! [SV274: set_a,SV212: a] :
( ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
| ~ ~ ( member_a @ SV212 @ SV274 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2300]) ).
thf(2366,plain,
! [SV274: set_a,SV212: a] :
( ( ( ~ ( member_a @ SV212 @ SV274 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
| ~ ~ ( member_a @ SV212 @ SV274 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2300]) ).
thf(2367,plain,
! [SV356: set_Product_prod_a_a,SV325: set_a,SV275: a,SV213: a] :
( ( ( member_a @ SV213 @ ( prefer161218362good_a @ SV275 @ SV325 @ SV356 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV213 @ SV275 ) @ SV356 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2301]) ).
thf(2368,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2302]) ).
thf(2369,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2302]) ).
thf(2370,plain,
! [SV277: a,SV326: set_a,SV215: a] :
( ( ( ~ ( member_a @ SV215 @ SV326 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV215 @ SV277 ) @ ( id_on_a @ SV326 ) )
= $true )
| ( ( SV215 = SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2303]) ).
thf(2371,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV279 @ SV357 )
| ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 )
| ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2305]) ).
thf(2372,plain,
! [SV280: set_a,SV218: product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK38_SY556 @ SV218 @ SV280 ) @ SV280 )
| ( SV218
!= ( product_Pair_a_a @ ( sK38_SY556 @ SV218 @ SV280 ) @ ( sK38_SY556 @ SV218 @ SV280 ) ) ) )
= $false )
| ( ( member449909584od_a_a @ SV218 @ ( id_on_a @ SV280 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2307]) ).
thf(2373,plain,
! [SV328: set_a,SV281: set_a,SV219: a] :
( ( ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2308]) ).
thf(2374,plain,
! [SV220: set_a,SV282: set_Product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK35_SY558 @ SV282 @ SV220 ) @ SV220 )
| ~ ( member_a @ ( sK39_SY640 @ SV220 @ SV282 ) @ SV220 )
| ~ ( ( ( sK35_SY558 @ SV282 @ SV220 )
!= ( sK39_SY640 @ SV220 @ SV282 ) ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK35_SY558 @ SV282 @ SV220 ) @ ( sK39_SY640 @ SV220 @ SV282 ) ) @ SV282 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK39_SY640 @ SV220 @ SV282 ) @ ( sK35_SY558 @ SV282 @ SV220 ) ) @ SV282 ) )
= $false )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2309]) ).
thf(2375,plain,
! [SV222: a,SV284: set_a] :
( ( ( ( SV284
!= ( insert_a @ SV222 @ ( sK40_SY560 @ SV222 @ SV284 ) ) )
| ( member_a @ SV222 @ ( sK40_SY560 @ SV222 @ SV284 ) ) )
= $false )
| ( ( member_a @ SV222 @ SV284 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2310]) ).
thf(2376,plain,
! [SV371: a,SV358: a,SV330: a,SV286: set_Product_prod_a_a,SV224: set_a] :
( ( ( ~ ( prefer719835986ence_a @ SV224 @ SV286 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV330 @ SV224 )
| ~ ( member_a @ SV358 @ SV224 ) )
| ~ ( member_a @ SV371 @ SV224 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2312]) ).
thf(2377,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV287 @ SV359 )
| ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 )
| ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2313]) ).
thf(2378,plain,
! [SV360: a,SV332: a,SV288: set_Product_prod_a_a,SV226: set_a] :
( ( ( prefer1292084992ence_a @ SV226 @ SV288 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV332 @ SV360 ) @ SV288 )
| ( member_a @ SV332 @ SV226 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2315]) ).
thf(2379,plain,
! [SV227: a,SV289: set_Product_prod_a_a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK41_SY569 @ SV289 @ SV227 ) @ SV227 ) @ SV289 ) )
= $false )
| ( ( member_a @ SV227 @ ( range_a_a @ SV289 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2316]) ).
thf(2380,plain,
! [SV361: a,SV333: a,SV291: set_Product_prod_a_a,SV229: set_a] :
( ( ( prefer719835986ence_a @ SV229 @ SV291 )
= $false )
| ( ( ~ ( member_a @ SV333 @ SV229 )
| ~ ( member_a @ SV361 @ SV229 )
| ~ ( ( SV333 != SV361 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV333 @ SV361 ) @ SV291 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV361 @ SV333 ) @ SV291 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2318]) ).
thf(2381,plain,
! [SV362: set_Product_prod_a_a,SV334: set_a,SV292: a,SV230: a] :
( ( ( member_a @ SV230 @ ( prefer161218362good_a @ SV292 @ SV334 @ SV362 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV230 @ SV292 ) @ SV362 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2319]) ).
thf(2382,plain,
! [SV293: set_a,SV231: set_a,SV335: a] :
( ( ( ~ ( member_a @ SV335 @ SV231 ) )
= $true )
| ( ( member_a @ SV335 @ SV293 )
= $true )
| ( ( ord_less_eq_set_a @ SV231 @ SV293 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2320]) ).
thf(2383,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ( ( total_on_a @ SV294 @ SV363 )
| ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2321]) ).
thf(2384,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ~ ( member_a @ SV233 @ SV295 ) )
= $false )
| ( ( ~ ~ ( member_a @ SV337 @ SV364 )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2323]) ).
thf(2385,plain,
! [SV365: a,SV338: a,SV297: set_Product_prod_a_a,SV236: set_a] :
( ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false )
| ( ( ~ ~ ( ~ ( member_a @ SV338 @ SV236 )
| ~ ( member_a @ SV365 @ SV236 ) )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2325]) ).
thf(2386,plain,
! [SV237: set_a,SV298: set_a] :
( ( ( ~ ( member_a @ ( sK36_SY583 @ SV298 @ SV237 ) @ SV237 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV237 @ SV298 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2326]) ).
thf(2387,plain,
! [SV237: set_a,SV298: set_a] :
( ( ( member_a @ ( sK36_SY583 @ SV298 @ SV237 ) @ SV298 )
= $false )
| ( ( ord_less_eq_set_a @ SV237 @ SV298 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2326]) ).
thf(2388,plain,
! [SV238: a,SV299: a] :
( ( ( member_a @ SV299 @ carrier )
= $false )
| ( ( ~ ( ( SV238 != SV299 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV238 @ SV299 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV299 @ SV238 ) @ relation ) )
= $true )
| ( ( member_a @ SV238 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2327]) ).
thf(2389,plain,
! [SV300: set_Product_prod_a_a,SV339: a,SV239: set_a] :
( ( ( ~ ( ( SV239 != bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( member_a @ SV339 @ SV239 )
| ( ( prefer1676310729than_a @ SV339 @ SV239 @ SV300 )
!= bot_bot_set_a ) )
= $true )
| ( ( prefer719835986ence_a @ SV239 @ SV300 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2328]) ).
thf(2390,plain,
! [SV301: set_a,SV240: set_a,SV340: a] :
( ( ( ~ ( member_a @ SV340 @ SV240 ) )
= $true )
| ( ( member_a @ SV340 @ SV301 )
= $true )
| ( ( ord_less_eq_set_a @ SV240 @ SV301 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2329]) ).
thf(2391,plain,
! [SV341: set_a,SV302: set_a,SV241: a] :
( ( ( member_a @ SV241 @ SV302 )
= $true )
| ( ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
= ( ord_less_eq_set_a @ SV302 @ SV341 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2330]) ).
thf(2392,plain,
! [SV244: a] :
( ( ( member_a @ SV244 @ carrier )
= $false )
| ( ( ( prefer1676310729than_a @ SV244 @ carrier @ relation )
!= bot_bot_set_a )
= $true )
| ( ( carrier = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2332]) ).
thf(2393,plain,
! [SV342: a,SV304: set_a,SV245: a] :
( ( ( ~ ~ ( member_a @ SV245 @ SV304 ) )
= $false )
| ( ( member_a @ SV245 @ ( insert_a @ SV342 @ SV304 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2333]) ).
thf(2394,plain,
! [SV304: set_a,SV342: a,SV245: a] :
( ( ( SV245 = SV342 )
= $false )
| ( ( member_a @ SV245 @ ( insert_a @ SV342 @ SV304 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2333]) ).
thf(2395,plain,
! [SV343: set_a,SV305: a,SV246: a] :
( ( ( ~ ( ( SV246 != SV305 ) ) )
= $true )
| ( ( member_a @ SV246 @ SV343 )
= $true )
| ( ( member_a @ SV246 @ ( insert_a @ SV305 @ SV343 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2334]) ).
thf(2396,plain,
! [SV247: a,SV306: set_Product_prod_a_a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK42_SY589 @ SV306 @ SV247 ) @ SV247 ) @ SV306 ) )
= $false )
| ( ( member_a @ SV247 @ ( range_a_a @ SV306 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2335]) ).
thf(2397,plain,
! [SV249: a,SV344: a > $o,SV308: set_Product_prod_a_a] :
( ( ( ~ ! [SY626: a,SY627: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY626 @ SY627 ) @ SV308 )
| ( SV344 @ SY627 ) ) )
= $true )
| ( ( SV344 @ SV249 )
= $true )
| ( ( member_a @ SV249 @ ( range_a_a @ SV308 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2336]) ).
thf(2398,plain,
! [SV250: set_a] :
( ( ( ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ~ ( ( SV250 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2337]) ).
thf(2399,plain,
! [SV250: set_a] :
( ( ( SV250 = bot_bot_set_a )
= $true )
| ( ( ~ ( ~ ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ~ ( ( SV250 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2338]) ).
thf(2400,plain,
! [SV251: a,SV366: a] :
( ( ( member_a @ SV366 @ carrier )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV251 @ SV366 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV366 @ SV251 ) @ relation ) )
= $true )
| ( ( member_a @ SV251 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2339]) ).
thf(2401,plain,
! [SV367: a,SV345: a,SV309: set_Product_prod_a_a,SV252: set_a] :
( ( ( refl_on_a @ SV252 @ SV309 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV345 @ SV367 ) @ SV309 )
| ~ ( ~ ( member_a @ SV345 @ SV252 )
| ~ ( member_a @ SV367 @ SV252 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2340]) ).
thf(2402,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
| ~ ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2341]) ).
thf(2403,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
| ~ ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2341]) ).
thf(2404,plain,
! [SV254: set_a] :
( ( ( ! [SY516: a,SY517: a] :
( ~ ( member_a @ SY516 @ SV254 )
| ~ ( member_a @ SY517 @ SV254 )
| ( SY516 = SY517 ) ) )
= $false )
| ( ( is_singleton_a @ SV254 )
= $true )
| ( ( SV254 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2342]) ).
thf(2405,plain,
! [SV346: a,SV311: a,SV255: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV255 @ carrier )
| ~ ( member_a @ SV311 @ carrier ) )
| ~ ( member_a @ SV346 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2343]) ).
thf(2406,plain,
! [SV312: set_Product_prod_a_a,SV256: set_a,SV347: a] :
( ( ( ~ ( member_a @ SV347 @ SV256 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV347 @ SV347 ) @ SV312 )
= $true )
| ( ( refl_on_a @ SV256 @ SV312 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2344]) ).
thf(2407,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV257 @ carrier )
| ~ ( member_a @ SV313 @ carrier ) )
| ~ ( member_a @ SV348 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2345]) ).
thf(2408,plain,
! [SV368: a,SV350: a,SV315: set_Product_prod_a_a,SV259: set_a] :
( ( ( refl_on_a @ SV259 @ SV315 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV350 @ SV368 ) @ SV315 )
| ( member_a @ SV350 @ SV259 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2347]) ).
thf(2409,plain,
! [SV316: set_Product_prod_a_a,SV260: set_a,SV372: a] :
( ( ( ~ ( member_a @ SV372 @ SV260 ) )
= $true )
| ( ( ! [SY641: a] :
( ~ ( member_a @ SY641 @ SV260 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV372 @ SY641 ) @ SV316 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY641 @ SV372 ) @ SV316 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV260 @ SV316 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2348]) ).
thf(2410,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( member_a @ SV261 @ SV317 )
= $true )
| ( ( ~ ~ ( member_a @ SV261 @ SV351 )
| ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= ( SV317 = SV351 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2349]) ).
thf(2411,plain,
! [SV369: a,SV352: a,SV318: set_Product_prod_a_a,SV262: set_a] :
( ( ( refl_on_a @ SV262 @ SV318 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV352 @ SV369 ) @ SV318 )
| ( member_a @ SV369 @ SV262 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2350]) ).
thf(2412,plain,
! [SV263: a,SV319: set_a] :
( ( ( ~ ~ ( ( SV319
!= ( insert_a @ SV263 @ ( sK43_SY607 @ SV263 @ SV319 ) ) )
| ~ ~ ( member_a @ SV263 @ ( sK43_SY607 @ SV263 @ SV319 ) ) ) )
= $false )
| ( ( member_a @ SV263 @ SV319 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2351]) ).
thf(2413,plain,
! [SV373: a,SV370: a,SV353: a,SV320: set_Product_prod_a_a,SV264: set_a] :
( ( ( ~ ( prefer719835986ence_a @ SV264 @ SV320 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV353 @ SV264 )
| ~ ( member_a @ SV370 @ SV264 ) )
| ~ ( member_a @ SV373 @ SV264 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2352]) ).
thf(2414,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ( member_a @ SV265 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV321 @ carrier ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2353]) ).
thf(2415,plain,
! [SV266: a,SV322: set_a,SV354: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV354 @ SV322 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV266 @ SV354 ) @ SV322 )
= $true )
| ( ( member_a @ SV266 @ SV322 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2354]) ).
thf(2416,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2355]) ).
thf(2417,plain,
! [SV268: a > $o,SV201: a] :
( ( ( ~ ( member_a @ SV201 @ ( collect_a @ SV268 ) )
| ~ ( SV268 @ SV201 ) )
= $false )
| ( ( member_a @ SV201 @ ( collect_a @ SV268 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2356]) ).
thf(2418,plain,
! [SV268: a > $o,SV201: a] :
( ( ( ~ ( member_a @ SV201 @ ( collect_a @ SV268 ) )
| ~ ( SV268 @ SV201 ) )
= $false )
| ( ( SV268 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2357]) ).
thf(2419,plain,
! [SV205: set_a] :
( ( ( member_a @ ( sK37_SY426 @ SV205 ) @ SV205 )
= $true )
| ( ( ~ ( ~ ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 )
| ( SV205 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2358]) ).
thf(2420,plain,
! [SV205: set_a] :
( ( ( ~ ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 ) )
= $false )
| ( ( SV205 = bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2359]) ).
thf(2421,plain,
! [SV205: set_a] :
( ( ( SV205 != bot_bot_set_a )
= $false )
| ( ( SV205 = bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2359]) ).
thf(2422,plain,
! [SV270: a] :
( ( ( ~ ( bot_bot_a_o @ SV270 )
| ~ ( member_a @ SV270 @ bot_bot_set_a ) )
= $false )
| ( ( bot_bot_a_o @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2360]) ).
thf(2423,plain,
! [SV270: a] :
( ( ( ~ ( bot_bot_a_o @ SV270 )
| ~ ( member_a @ SV270 @ bot_bot_set_a ) )
= $false )
| ( ( member_a @ SV270 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2361]) ).
thf(2424,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
| ~ ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2362]) ).
thf(2425,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
| ~ ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2362]) ).
thf(2426,plain,
! [SV272: a,SV210: a] :
( ( ( ~ ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
| ( SV210 != SV272 ) )
= $false )
| ( ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2363]) ).
thf(2427,plain,
! [SV272: a,SV210: a] :
( ( ( ~ ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
| ( SV210 != SV272 ) )
= $false )
| ( ( SV210 = SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2364]) ).
thf(2428,plain,
! [SV274: set_a,SV212: a] :
( ( ( ~ ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
| ~ ~ ( member_a @ SV212 @ SV274 ) )
= $false )
| ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2365]) ).
thf(2429,plain,
! [SV274: set_a,SV212: a] :
( ( ( member_a @ SV212 @ SV274 )
= $true )
| ( ( ~ ( ~ ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
| ~ ~ ( member_a @ SV212 @ SV274 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2366]) ).
thf(2430,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) )
= $false )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2368]) ).
thf(2431,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2369]) ).
thf(2432,plain,
! [SV277: a,SV326: set_a,SV215: a] :
( ( ( member_a @ SV215 @ SV326 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV215 @ SV277 ) @ ( id_on_a @ SV326 ) )
= $true )
| ( ( SV215 = SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2370]) ).
thf(2433,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ( ord_less_eq_set_a @ SV279 @ SV357 )
| ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 )
| ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2371]) ).
thf(2434,plain,
! [SV280: set_a,SV218: product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK38_SY556 @ SV218 @ SV280 ) @ SV280 ) )
= $false )
| ( ( member449909584od_a_a @ SV218 @ ( id_on_a @ SV280 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2372]) ).
thf(2435,plain,
! [SV280: set_a,SV218: product_prod_a_a] :
( ( ( SV218
!= ( product_Pair_a_a @ ( sK38_SY556 @ SV218 @ SV280 ) @ ( sK38_SY556 @ SV218 @ SV280 ) ) )
= $false )
| ( ( member449909584od_a_a @ SV218 @ ( id_on_a @ SV280 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2372]) ).
thf(2436,plain,
! [SV328: set_a,SV281: set_a,SV219: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2373]) ).
thf(2437,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2373]) ).
thf(2438,plain,
! [SV220: set_a,SV282: set_Product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK35_SY558 @ SV282 @ SV220 ) @ SV220 ) )
= $false )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2374]) ).
thf(2439,plain,
! [SV282: set_Product_prod_a_a,SV220: set_a] :
( ( ( ~ ( member_a @ ( sK39_SY640 @ SV220 @ SV282 ) @ SV220 )
| ~ ( ( ( sK35_SY558 @ SV282 @ SV220 )
!= ( sK39_SY640 @ SV220 @ SV282 ) ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK35_SY558 @ SV282 @ SV220 ) @ ( sK39_SY640 @ SV220 @ SV282 ) ) @ SV282 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK39_SY640 @ SV220 @ SV282 ) @ ( sK35_SY558 @ SV282 @ SV220 ) ) @ SV282 ) )
= $false )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2374]) ).
thf(2440,plain,
! [SV222: a,SV284: set_a] :
( ( ( SV284
!= ( insert_a @ SV222 @ ( sK40_SY560 @ SV222 @ SV284 ) ) )
= $false )
| ( ( member_a @ SV222 @ SV284 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2375]) ).
thf(2441,plain,
! [SV284: set_a,SV222: a] :
( ( ( member_a @ SV222 @ ( sK40_SY560 @ SV222 @ SV284 ) )
= $false )
| ( ( member_a @ SV222 @ SV284 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2375]) ).
thf(2442,plain,
! [SV371: a,SV358: a,SV330: a,SV286: set_Product_prod_a_a,SV224: set_a] :
( ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV330 @ SV224 )
| ~ ( member_a @ SV358 @ SV224 ) )
| ~ ( member_a @ SV371 @ SV224 ) )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2376]) ).
thf(2443,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ( ord_less_eq_set_a @ SV287 @ SV359 )
| ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 )
| ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2377]) ).
thf(2444,plain,
! [SV226: set_a,SV288: set_Product_prod_a_a,SV360: a,SV332: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV332 @ SV360 ) @ SV288 ) )
= $true )
| ( ( member_a @ SV332 @ SV226 )
= $true )
| ( ( prefer1292084992ence_a @ SV226 @ SV288 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2378]) ).
thf(2445,plain,
! [SV227: a,SV289: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK41_SY569 @ SV289 @ SV227 ) @ SV227 ) @ SV289 )
= $true )
| ( ( member_a @ SV227 @ ( range_a_a @ SV289 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2379]) ).
thf(2446,plain,
! [SV291: set_Product_prod_a_a,SV361: a,SV229: set_a,SV333: a] :
( ( ( ~ ( member_a @ SV333 @ SV229 ) )
= $true )
| ( ( ~ ( member_a @ SV361 @ SV229 )
| ~ ( ( SV333 != SV361 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV333 @ SV361 ) @ SV291 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV361 @ SV333 ) @ SV291 ) )
= $true )
| ( ( prefer719835986ence_a @ SV229 @ SV291 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2380]) ).
thf(2447,plain,
! [SV293: set_a,SV231: set_a,SV335: a] :
( ( ( member_a @ SV335 @ SV231 )
= $false )
| ( ( member_a @ SV335 @ SV293 )
= $true )
| ( ( ord_less_eq_set_a @ SV231 @ SV293 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2382]) ).
thf(2448,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ( total_on_a @ SV294 @ SV363 )
| ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2383]) ).
thf(2449,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( member_a @ SV233 @ SV295 )
= $true )
| ( ( ~ ~ ( member_a @ SV337 @ SV364 )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2384]) ).
thf(2450,plain,
! [SV297: set_Product_prod_a_a,SV365: a,SV236: set_a,SV338: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV338 @ SV236 )
| ~ ( member_a @ SV365 @ SV236 ) ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2385]) ).
thf(2451,plain,
! [SV237: set_a,SV298: set_a] :
( ( ( member_a @ ( sK36_SY583 @ SV298 @ SV237 ) @ SV237 )
= $true )
| ( ( ord_less_eq_set_a @ SV237 @ SV298 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2386]) ).
thf(2452,plain,
! [SV299: a,SV238: a] :
( ( ( ~ ( ( SV238 != SV299 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV238 @ SV299 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV299 @ SV238 ) @ relation ) )
= $true )
| ( ( member_a @ SV299 @ carrier )
= $false )
| ( ( member_a @ SV238 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2388]) ).
thf(2453,plain,
! [SV300: set_Product_prod_a_a,SV339: a,SV239: set_a] :
( ( ( SV239 != bot_bot_set_a )
= $false )
| ( ( ~ ( member_a @ SV339 @ SV239 )
| ( ( prefer1676310729than_a @ SV339 @ SV239 @ SV300 )
!= bot_bot_set_a ) )
= $true )
| ( ( prefer719835986ence_a @ SV239 @ SV300 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2389]) ).
thf(2454,plain,
! [SV301: set_a,SV240: set_a,SV340: a] :
( ( ( member_a @ SV340 @ SV240 )
= $false )
| ( ( member_a @ SV340 @ SV301 )
= $true )
| ( ( ord_less_eq_set_a @ SV240 @ SV301 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2390]) ).
thf(2455,plain,
! [SV341: set_a,SV241: a,SV302: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
| ( ord_less_eq_set_a @ SV302 @ SV341 ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
| ~ ( ord_less_eq_set_a @ SV302 @ SV341 ) ) )
= $true )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2391]) ).
thf(2456,plain,
! [SV341: set_a,SV241: a,SV302: set_a] :
( ( ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
= ( ord_less_eq_set_a @ SV302 @ SV341 ) )
= $true )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2391]) ).
thf(2457,plain,
! [SV244: a] :
( ( ( ( prefer1676310729than_a @ SV244 @ carrier @ relation )
= bot_bot_set_a )
= $false )
| ( ( member_a @ SV244 @ carrier )
= $false )
| ( ( carrier = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2392]) ).
thf(2458,plain,
! [SV342: a,SV304: set_a,SV245: a] :
( ( ( ~ ( member_a @ SV245 @ SV304 ) )
= $true )
| ( ( member_a @ SV245 @ ( insert_a @ SV342 @ SV304 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2393]) ).
thf(2459,plain,
! [SV343: set_a,SV305: a,SV246: a] :
( ( ( SV246 != SV305 )
= $false )
| ( ( member_a @ SV246 @ SV343 )
= $true )
| ( ( member_a @ SV246 @ ( insert_a @ SV305 @ SV343 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2395]) ).
thf(2460,plain,
! [SV247: a,SV306: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK42_SY589 @ SV306 @ SV247 ) @ SV247 ) @ SV306 )
= $true )
| ( ( member_a @ SV247 @ ( range_a_a @ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2396]) ).
thf(2461,plain,
! [SV249: a,SV344: a > $o,SV308: set_Product_prod_a_a] :
( ( ( ! [SY626: a,SY627: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY626 @ SY627 ) @ SV308 )
| ( SV344 @ SY627 ) ) )
= $false )
| ( ( SV344 @ SV249 )
= $true )
| ( ( member_a @ SV249 @ ( range_a_a @ SV308 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2397]) ).
thf(2462,plain,
! [SV250: set_a,SV374: a] :
( ( ( ~ ( member_a @ SV374 @ SV250 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ~ ( ( SV250 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2398]) ).
thf(2463,plain,
! [SV250: set_a] :
( ( ( ~ ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ~ ( ( SV250 != bot_bot_set_a ) ) )
= $false )
| ( ( SV250 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2399]) ).
thf(2464,plain,
! [SV366: a,SV251: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV251 @ SV366 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV366 @ SV251 ) @ relation )
= $true )
| ( ( member_a @ SV366 @ carrier )
= $false )
| ( ( member_a @ SV251 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2400]) ).
thf(2465,plain,
! [SV252: set_a,SV309: set_Product_prod_a_a,SV367: a,SV345: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV345 @ SV367 ) @ SV309 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV345 @ SV252 )
| ~ ( member_a @ SV367 @ SV252 ) ) )
= $true )
| ( ( refl_on_a @ SV252 @ SV309 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2401]) ).
thf(2466,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ~ ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
| ~ ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) )
= $false )
| ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2402]) ).
thf(2467,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
| ~ ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2403]) ).
thf(2468,plain,
! [SV254: set_a] :
( ( ( ! [SY642: a] :
( ~ ( member_a @ ( sK44_SY516 @ SV254 ) @ SV254 )
| ~ ( member_a @ SY642 @ SV254 )
| ( ( sK44_SY516 @ SV254 )
= SY642 ) ) )
= $false )
| ( ( is_singleton_a @ SV254 )
= $true )
| ( ( SV254 = bot_bot_set_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2404]) ).
thf(2469,plain,
! [SV346: a,SV311: a,SV255: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV255 @ carrier )
| ~ ( member_a @ SV311 @ carrier ) ) )
= $true )
| ( ( ~ ( member_a @ SV346 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2405]) ).
thf(2470,plain,
! [SV312: set_Product_prod_a_a,SV256: set_a,SV347: a] :
( ( ( member_a @ SV347 @ SV256 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV347 @ SV347 ) @ SV312 )
= $true )
| ( ( refl_on_a @ SV256 @ SV312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2406]) ).
thf(2471,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV257 @ carrier )
| ~ ( member_a @ SV313 @ carrier ) ) )
= $true )
| ( ( ~ ( member_a @ SV348 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2407]) ).
thf(2472,plain,
! [SV259: set_a,SV315: set_Product_prod_a_a,SV368: a,SV350: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV350 @ SV368 ) @ SV315 ) )
= $true )
| ( ( member_a @ SV350 @ SV259 )
= $true )
| ( ( refl_on_a @ SV259 @ SV315 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2408]) ).
thf(2473,plain,
! [SV316: set_Product_prod_a_a,SV260: set_a,SV372: a] :
( ( ( member_a @ SV372 @ SV260 )
= $false )
| ( ( ! [SY641: a] :
( ~ ( member_a @ SY641 @ SV260 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV372 @ SY641 ) @ SV316 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY641 @ SV372 ) @ SV316 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV260 @ SV316 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2409]) ).
thf(2474,plain,
! [SV317: set_a,SV351: set_a,SV261: a] :
( ( ( ~ ~ ( member_a @ SV261 @ SV351 ) )
= $true )
| ( ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= ( SV317 = SV351 ) )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2410]) ).
thf(2475,plain,
! [SV262: set_a,SV318: set_Product_prod_a_a,SV369: a,SV352: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV352 @ SV369 ) @ SV318 ) )
= $true )
| ( ( member_a @ SV369 @ SV262 )
= $true )
| ( ( refl_on_a @ SV262 @ SV318 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2411]) ).
thf(2476,plain,
! [SV263: a,SV319: set_a] :
( ( ( ~ ( ( SV319
!= ( insert_a @ SV263 @ ( sK43_SY607 @ SV263 @ SV319 ) ) )
| ~ ~ ( member_a @ SV263 @ ( sK43_SY607 @ SV263 @ SV319 ) ) ) )
= $true )
| ( ( member_a @ SV263 @ SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2412]) ).
thf(2477,plain,
! [SV373: a,SV370: a,SV353: a,SV320: set_Product_prod_a_a,SV264: set_a] :
( ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV353 @ SV264 )
| ~ ( member_a @ SV370 @ SV264 ) )
| ~ ( member_a @ SV373 @ SV264 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2413]) ).
thf(2478,plain,
! [SV321: a,SV265: a] :
( ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( ~ ( member_a @ SV321 @ carrier ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2414]) ).
thf(2479,plain,
! [SV266: a,SV322: set_a,SV354: set_a] :
( ( ( ord_less_eq_set_a @ SV354 @ SV322 )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV266 @ SV354 ) @ SV322 )
= $true )
| ( ( member_a @ SV266 @ SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2415]) ).
thf(2480,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2416]) ).
thf(2481,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2416]) ).
thf(2482,plain,
! [SV268: a > $o,SV201: a] :
( ( ( ~ ( member_a @ SV201 @ ( collect_a @ SV268 ) ) )
= $false )
| ( ( member_a @ SV201 @ ( collect_a @ SV268 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2417]) ).
thf(2483,plain,
! [SV201: a,SV268: a > $o] :
( ( ( ~ ( SV268 @ SV201 ) )
= $false )
| ( ( member_a @ SV201 @ ( collect_a @ SV268 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2417]) ).
thf(2484,plain,
! [SV268: a > $o,SV201: a] :
( ( ( ~ ( member_a @ SV201 @ ( collect_a @ SV268 ) ) )
= $false )
| ( ( SV268 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2418]) ).
thf(2485,plain,
! [SV201: a,SV268: a > $o] :
( ( ( ~ ( SV268 @ SV201 ) )
= $false )
| ( ( SV268 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2418]) ).
thf(2486,plain,
! [SV205: set_a] :
( ( ( ~ ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 )
| ( SV205 != bot_bot_set_a ) )
= $false )
| ( ( member_a @ ( sK37_SY426 @ SV205 ) @ SV205 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2419]) ).
thf(2487,plain,
! [SV205: set_a] :
( ( ( ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 ) )
= $true )
| ( ( SV205 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2420]) ).
thf(2488,plain,
! [SV205: set_a] :
( ( ( SV205 = bot_bot_set_a )
= $true )
| ( ( SV205 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2421]) ).
thf(2489,plain,
! [SV270: a] :
( ( ( ~ ( bot_bot_a_o @ SV270 ) )
= $false )
| ( ( bot_bot_a_o @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2422]) ).
thf(2490,plain,
! [SV270: a] :
( ( ( ~ ( member_a @ SV270 @ bot_bot_set_a ) )
= $false )
| ( ( bot_bot_a_o @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2422]) ).
thf(2491,plain,
! [SV270: a] :
( ( ( ~ ( bot_bot_a_o @ SV270 ) )
= $false )
| ( ( member_a @ SV270 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2423]) ).
thf(2492,plain,
! [SV270: a] :
( ( ( ~ ( member_a @ SV270 @ bot_bot_set_a ) )
= $false )
| ( ( member_a @ SV270 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2423]) ).
thf(2493,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ~ ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
| ~ ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) )
= $false )
| ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2424]) ).
thf(2494,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( SV208 = SV271 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
| ~ ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2425]) ).
thf(2495,plain,
! [SV271: a,SV324: set_a,SV208: a] :
( ( ( member_a @ SV208 @ SV324 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
| ~ ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2425]) ).
thf(2496,plain,
! [SV272: a,SV210: a] :
( ( ( ~ ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) ) )
= $false )
| ( ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2497,plain,
! [SV272: a,SV210: a] :
( ( ( SV210 != SV272 )
= $false )
| ( ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2498,plain,
! [SV272: a,SV210: a] :
( ( ( ~ ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) ) )
= $false )
| ( ( SV210 = SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2427]) ).
thf(2499,plain,
! [SV272: a,SV210: a] :
( ( ( SV210 != SV272 )
= $false )
| ( ( SV210 = SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2427]) ).
thf(2500,plain,
! [SV274: set_a,SV212: a] :
( ( ( ~ ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) ) )
= $false )
| ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2428]) ).
thf(2501,plain,
! [SV274: set_a,SV212: a] :
( ( ( ~ ~ ( member_a @ SV212 @ SV274 ) )
= $false )
| ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2428]) ).
thf(2502,plain,
! [SV274: set_a,SV212: a] :
( ( ( ~ ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
| ~ ~ ( member_a @ SV212 @ SV274 ) )
= $false )
| ( ( member_a @ SV212 @ SV274 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2429]) ).
thf(2503,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) ) )
= $false )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2430]) ).
thf(2504,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) )
= $false )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2430]) ).
thf(2505,plain,
! [SV276: set_Product_prod_a_a,SV375: a,SV214: a] :
( ( ( ~ ~ ! [SY643: a] :
~ ~ ( ( SV214 != SY643 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SY643 ) @ SV276 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2431]) ).
thf(2506,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 )
| ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2433]) ).
thf(2507,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 )
| ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2433]) ).
thf(2508,plain,
! [SV280: set_a,SV218: product_prod_a_a] :
( ( ( member_a @ ( sK38_SY556 @ SV218 @ SV280 ) @ SV280 )
= $true )
| ( ( member449909584od_a_a @ SV218 @ ( id_on_a @ SV280 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2434]) ).
thf(2509,plain,
! [SV280: set_a,SV218: product_prod_a_a] :
( ( ( SV218
= ( product_Pair_a_a @ ( sK38_SY556 @ SV218 @ SV280 ) @ ( sK38_SY556 @ SV218 @ SV280 ) ) )
= $true )
| ( ( member449909584od_a_a @ SV218 @ ( id_on_a @ SV280 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2435]) ).
thf(2510,plain,
! [SV328: set_a,SV281: set_a,SV219: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2436]) ).
thf(2511,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2437]) ).
thf(2512,plain,
! [SV220: set_a,SV282: set_Product_prod_a_a] :
( ( ( member_a @ ( sK35_SY558 @ SV282 @ SV220 ) @ SV220 )
= $true )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2438]) ).
thf(2513,plain,
! [SV282: set_Product_prod_a_a,SV220: set_a] :
( ( ( ~ ( member_a @ ( sK39_SY640 @ SV220 @ SV282 ) @ SV220 ) )
= $false )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2439]) ).
thf(2514,plain,
! [SV220: set_a,SV282: set_Product_prod_a_a] :
( ( ( ~ ( ( ( sK35_SY558 @ SV282 @ SV220 )
!= ( sK39_SY640 @ SV220 @ SV282 ) ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK35_SY558 @ SV282 @ SV220 ) @ ( sK39_SY640 @ SV220 @ SV282 ) ) @ SV282 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK39_SY640 @ SV220 @ SV282 ) @ ( sK35_SY558 @ SV282 @ SV220 ) ) @ SV282 ) )
= $false )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2439]) ).
thf(2515,plain,
! [SV222: a,SV284: set_a] :
( ( ( SV284
= ( insert_a @ SV222 @ ( sK40_SY560 @ SV222 @ SV284 ) ) )
= $true )
| ( ( member_a @ SV222 @ SV284 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2440]) ).
thf(2516,plain,
! [SV286: set_Product_prod_a_a,SV371: a,SV358: a,SV224: set_a,SV330: a] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV330 @ SV224 )
| ~ ( member_a @ SV358 @ SV224 ) )
| ~ ( member_a @ SV371 @ SV224 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2442]) ).
thf(2517,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 )
| ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2443]) ).
thf(2518,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 )
| ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2443]) ).
thf(2519,plain,
! [SV226: set_a,SV288: set_Product_prod_a_a,SV360: a,SV332: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV332 @ SV360 ) @ SV288 )
= $false )
| ( ( member_a @ SV332 @ SV226 )
= $true )
| ( ( prefer1292084992ence_a @ SV226 @ SV288 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2444]) ).
thf(2520,plain,
! [SV291: set_Product_prod_a_a,SV361: a,SV229: set_a,SV333: a] :
( ( ( member_a @ SV333 @ SV229 )
= $false )
| ( ( ~ ( member_a @ SV361 @ SV229 )
| ~ ( ( SV333 != SV361 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV333 @ SV361 ) @ SV291 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV361 @ SV333 ) @ SV291 ) )
= $true )
| ( ( prefer719835986ence_a @ SV229 @ SV291 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2446]) ).
thf(2521,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( total_on_a @ SV294 @ SV363 )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2448]) ).
thf(2522,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2448]) ).
thf(2523,plain,
! [SV295: set_a,SV233: a,SV364: set_a,SV337: a] :
( ( ( ~ ~ ( member_a @ SV337 @ SV364 ) )
= $true )
| ( ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2449]) ).
thf(2524,plain,
! [SV297: set_Product_prod_a_a,SV365: a,SV236: set_a,SV338: a] :
( ( ( ~ ( ~ ( member_a @ SV338 @ SV236 )
| ~ ( member_a @ SV365 @ SV236 ) ) )
= $false )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2450]) ).
thf(2525,plain,
! [SV299: a,SV238: a] :
( ( ( SV238 != SV299 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV238 @ SV299 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV299 @ SV238 ) @ relation ) )
= $true )
| ( ( member_a @ SV299 @ carrier )
= $false )
| ( ( member_a @ SV238 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2452]) ).
thf(2526,plain,
! [SV300: set_Product_prod_a_a,SV339: a,SV239: set_a] :
( ( ( SV239 = bot_bot_set_a )
= $true )
| ( ( ~ ( member_a @ SV339 @ SV239 )
| ( ( prefer1676310729than_a @ SV339 @ SV239 @ SV300 )
!= bot_bot_set_a ) )
= $true )
| ( ( prefer719835986ence_a @ SV239 @ SV300 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2453]) ).
thf(2527,plain,
! [SV341: set_a,SV241: a,SV302: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
| ( ord_less_eq_set_a @ SV302 @ SV341 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
| ~ ( ord_less_eq_set_a @ SV302 @ SV341 ) ) )
= $true )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2455]) ).
thf(2528,plain,
! [SV342: a,SV304: set_a,SV245: a] :
( ( ( member_a @ SV245 @ SV304 )
= $false )
| ( ( member_a @ SV245 @ ( insert_a @ SV342 @ SV304 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2458]) ).
thf(2529,plain,
! [SV343: set_a,SV305: a,SV246: a] :
( ( ( SV246 = SV305 )
= $true )
| ( ( member_a @ SV246 @ SV343 )
= $true )
| ( ( member_a @ SV246 @ ( insert_a @ SV305 @ SV343 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2459]) ).
thf(2530,plain,
! [SV308: set_Product_prod_a_a,SV344: a > $o,SV249: a] :
( ( ( ! [SY644: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK45_SY626 @ SV249 @ SV344 @ SV308 ) @ SY644 ) @ SV308 )
| ( SV344 @ SY644 ) ) )
= $false )
| ( ( SV344 @ SV249 )
= $true )
| ( ( member_a @ SV249 @ ( range_a_a @ SV308 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2461]) ).
thf(2531,plain,
! [SV250: set_a,SV374: a] :
( ( ( member_a @ SV374 @ SV250 )
= $false )
| ( ( ~ ( ~ ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ~ ( ( SV250 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2462]) ).
thf(2532,plain,
! [SV250: set_a] :
( ( ( ~ ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 ) )
= $false )
| ( ( SV250 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2463]) ).
thf(2533,plain,
! [SV250: set_a] :
( ( ( ~ ( ( SV250 != bot_bot_set_a ) ) )
= $false )
| ( ( SV250 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2463]) ).
thf(2534,plain,
! [SV252: set_a,SV309: set_Product_prod_a_a,SV367: a,SV345: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV345 @ SV367 ) @ SV309 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV345 @ SV252 )
| ~ ( member_a @ SV367 @ SV252 ) ) )
= $true )
| ( ( refl_on_a @ SV252 @ SV309 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2465]) ).
thf(2535,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ~ ( member_a @ SV253 @ ( range_a_a @ SV310 ) ) )
= $false )
| ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2466]) ).
thf(2536,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ~ ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) )
= $false )
| ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2466]) ).
thf(2537,plain,
! [SV310: set_Product_prod_a_a,SV253: a,SV376: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV376 @ SV253 ) @ SV310 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
| ~ ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2467]) ).
thf(2538,plain,
! [SV254: set_a] :
( ( ( ~ ( member_a @ ( sK44_SY516 @ SV254 ) @ SV254 )
| ~ ( member_a @ ( sK46_SY642 @ SV254 ) @ SV254 )
| ( ( sK44_SY516 @ SV254 )
= ( sK46_SY642 @ SV254 ) ) )
= $false )
| ( ( is_singleton_a @ SV254 )
= $true )
| ( ( SV254 = bot_bot_set_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2468]) ).
thf(2539,plain,
! [SV346: a,SV311: a,SV255: a] :
( ( ( ~ ( ~ ( member_a @ SV255 @ carrier )
| ~ ( member_a @ SV311 @ carrier ) ) )
= $false )
| ( ( ~ ( member_a @ SV346 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2469]) ).
thf(2540,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ( ~ ( ~ ( member_a @ SV257 @ carrier )
| ~ ( member_a @ SV313 @ carrier ) ) )
= $false )
| ( ( ~ ( member_a @ SV348 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2471]) ).
thf(2541,plain,
! [SV259: set_a,SV315: set_Product_prod_a_a,SV368: a,SV350: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV350 @ SV368 ) @ SV315 )
= $false )
| ( ( member_a @ SV350 @ SV259 )
= $true )
| ( ( refl_on_a @ SV259 @ SV315 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2472]) ).
thf(2542,plain,
! [SV316: set_Product_prod_a_a,SV372: a,SV260: set_a,SV377: a] :
( ( ( ~ ( member_a @ SV377 @ SV260 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV372 @ SV377 ) @ SV316 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV377 @ SV372 ) @ SV316 ) )
= $true )
| ( ( member_a @ SV372 @ SV260 )
= $false )
| ( ( prefer719835986ence_a @ SV260 @ SV316 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2473]) ).
thf(2543,plain,
! [SV317: set_a,SV351: set_a,SV261: a] :
( ( ( ~ ( member_a @ SV261 @ SV351 ) )
= $false )
| ( ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= ( SV317 = SV351 ) )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2474]) ).
thf(2544,plain,
! [SV262: set_a,SV318: set_Product_prod_a_a,SV369: a,SV352: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV352 @ SV369 ) @ SV318 )
= $false )
| ( ( member_a @ SV369 @ SV262 )
= $true )
| ( ( refl_on_a @ SV262 @ SV318 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2475]) ).
thf(2545,plain,
! [SV263: a,SV319: set_a] :
( ( ( ( SV319
!= ( insert_a @ SV263 @ ( sK43_SY607 @ SV263 @ SV319 ) ) )
| ~ ~ ( member_a @ SV263 @ ( sK43_SY607 @ SV263 @ SV319 ) ) )
= $false )
| ( ( member_a @ SV263 @ SV319 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2476]) ).
thf(2546,plain,
! [SV320: set_Product_prod_a_a,SV373: a,SV370: a,SV264: set_a,SV353: a] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member_a @ SV353 @ SV264 )
| ~ ( member_a @ SV370 @ SV264 ) )
| ~ ( member_a @ SV373 @ SV264 ) ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2477]) ).
thf(2547,plain,
! [SV265: a,SV321: a] :
( ( ( member_a @ SV321 @ carrier )
= $false )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2478]) ).
thf(2548,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2480]) ).
thf(2549,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2481]) ).
thf(2550,plain,
! [SV268: a > $o,SV201: a] :
( ( ( member_a @ SV201 @ ( collect_a @ SV268 ) )
= $true )
| ( ( member_a @ SV201 @ ( collect_a @ SV268 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2482]) ).
thf(2551,plain,
! [SV201: a,SV268: a > $o] :
( ( ( SV268 @ SV201 )
= $true )
| ( ( member_a @ SV201 @ ( collect_a @ SV268 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2483]) ).
thf(2552,plain,
! [SV268: a > $o,SV201: a] :
( ( ( member_a @ SV201 @ ( collect_a @ SV268 ) )
= $true )
| ( ( SV268 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2484]) ).
thf(2553,plain,
! [SV201: a,SV268: a > $o] :
( ( ( SV268 @ SV201 )
= $true )
| ( ( SV268 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2485]) ).
thf(2554,plain,
! [SV205: set_a] :
( ( ( ~ ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 ) )
= $false )
| ( ( member_a @ ( sK37_SY426 @ SV205 ) @ SV205 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2486]) ).
thf(2555,plain,
! [SV205: set_a] :
( ( ( SV205 != bot_bot_set_a )
= $false )
| ( ( member_a @ ( sK37_SY426 @ SV205 ) @ SV205 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2486]) ).
thf(2556,plain,
! [SV205: set_a,SV378: a] :
( ( ( ~ ( member_a @ SV378 @ SV205 ) )
= $true )
| ( ( SV205 = bot_bot_set_a )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2487]) ).
thf(2557,plain,
! [SV270: a] :
( ( ( bot_bot_a_o @ SV270 )
= $true )
| ( ( bot_bot_a_o @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2489]) ).
thf(2558,plain,
! [SV270: a] :
( ( ( member_a @ SV270 @ bot_bot_set_a )
= $true )
| ( ( bot_bot_a_o @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2490]) ).
thf(2559,plain,
! [SV270: a] :
( ( ( bot_bot_a_o @ SV270 )
= $true )
| ( ( member_a @ SV270 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2491]) ).
thf(2560,plain,
! [SV270: a] :
( ( ( member_a @ SV270 @ bot_bot_set_a )
= $true )
| ( ( member_a @ SV270 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2492]) ).
thf(2561,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ~ ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) ) )
= $false )
| ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2493]) ).
thf(2562,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ~ ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) )
= $false )
| ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2493]) ).
thf(2563,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ~ ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
| ~ ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) )
= $false )
| ( ( SV208 = SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2494]) ).
thf(2564,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ~ ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
| ~ ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) )
= $false )
| ( ( member_a @ SV208 @ SV324 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2495]) ).
thf(2565,plain,
! [SV272: a,SV210: a] :
( ( ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
= $true )
| ( ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2496]) ).
thf(2566,plain,
! [SV272: a,SV210: a] :
( ( ( SV210 = SV272 )
= $true )
| ( ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2497]) ).
thf(2567,plain,
! [SV272: a,SV210: a] :
( ( ( member_a @ SV210 @ ( insert_a @ SV272 @ bot_bot_set_a ) )
= $true )
| ( ( SV210 = SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2498]) ).
thf(2568,plain,
! [SV272: a,SV210: a] :
( ( ( SV210 = SV272 )
= $true )
| ( ( SV210 = SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2499]) ).
thf(2569,plain,
! [SV274: set_a,SV212: a] :
( ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
= $true )
| ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2500]) ).
thf(2570,plain,
! [SV274: set_a,SV212: a] :
( ( ( ~ ( member_a @ SV212 @ SV274 ) )
= $true )
| ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2501]) ).
thf(2571,plain,
! [SV274: set_a,SV212: a] :
( ( ( ~ ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) ) )
= $false )
| ( ( member_a @ SV212 @ SV274 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2502]) ).
thf(2572,plain,
! [SV274: set_a,SV212: a] :
( ( ( ~ ~ ( member_a @ SV212 @ SV274 ) )
= $false )
| ( ( member_a @ SV212 @ SV274 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2502]) ).
thf(2573,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $true )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2503]) ).
thf(2574,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) )
= $true )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2504]) ).
thf(2575,plain,
! [SV276: set_Product_prod_a_a,SV375: a,SV214: a] :
( ( ( ~ ! [SY643: a] :
~ ~ ( ( SV214 != SY643 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SY643 ) @ SV276 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2505]) ).
thf(2576,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 )
| ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2506]) ).
thf(2577,plain,
! [SV279: set_a,SV357: set_a] :
( ( ( ~ ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV279 )
| ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV357 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 )
| ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2507]) ).
thf(2578,plain,
! [SV328: set_a,SV281: set_a,SV219: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2510]) ).
thf(2579,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2510]) ).
thf(2580,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( ~ ( member_a @ SV219 @ SV328 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2511]) ).
thf(2581,plain,
! [SV282: set_Product_prod_a_a,SV220: set_a] :
( ( ( member_a @ ( sK39_SY640 @ SV220 @ SV282 ) @ SV220 )
= $true )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2513]) ).
thf(2582,plain,
! [SV220: set_a,SV282: set_Product_prod_a_a] :
( ( ( ~ ( ( ( sK35_SY558 @ SV282 @ SV220 )
!= ( sK39_SY640 @ SV220 @ SV282 ) ) ) )
= $false )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2514]) ).
thf(2583,plain,
! [SV220: set_a,SV282: set_Product_prod_a_a] :
( ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK35_SY558 @ SV282 @ SV220 ) @ ( sK39_SY640 @ SV220 @ SV282 ) ) @ SV282 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK39_SY640 @ SV220 @ SV282 ) @ ( sK35_SY558 @ SV282 @ SV220 ) ) @ SV282 ) )
= $false )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2514]) ).
thf(2584,plain,
! [SV286: set_Product_prod_a_a,SV371: a,SV358: a,SV224: set_a,SV330: a] :
( ( ( ~ ( ~ ~ ( ~ ( member_a @ SV330 @ SV224 )
| ~ ( member_a @ SV358 @ SV224 ) )
| ~ ( member_a @ SV371 @ SV224 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2516]) ).
thf(2585,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 )
| ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2517]) ).
thf(2586,plain,
! [SV287: set_a,SV359: set_a] :
( ( ( ~ ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV287 )
| ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV359 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 )
| ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2518]) ).
thf(2587,plain,
! [SV291: set_Product_prod_a_a,SV333: a,SV229: set_a,SV361: a] :
( ( ( ~ ( member_a @ SV361 @ SV229 ) )
= $true )
| ( ( ~ ( ( SV333 != SV361 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV333 @ SV361 ) @ SV291 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV361 @ SV333 ) @ SV291 ) )
= $true )
| ( ( member_a @ SV333 @ SV229 )
= $false )
| ( ( prefer719835986ence_a @ SV229 @ SV291 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2520]) ).
thf(2588,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2521]) ).
thf(2589,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
| ! [SY645: a] :
( ~ ( member_a @ SY645 @ SV294 )
| ~ ( ( ( sK49_SY636 @ SV363 @ SV294 )
!= SY645 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SY645 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY645 @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2522]) ).
thf(2590,plain,
! [SV295: set_a,SV233: a,SV364: set_a,SV337: a] :
( ( ( ~ ( member_a @ SV337 @ SV364 ) )
= $false )
| ( ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2523]) ).
thf(2591,plain,
! [SV297: set_Product_prod_a_a,SV365: a,SV236: set_a,SV338: a] :
( ( ( ~ ( member_a @ SV338 @ SV236 )
| ~ ( member_a @ SV365 @ SV236 ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2524]) ).
thf(2592,plain,
! [SV299: a,SV238: a] :
( ( ( SV238 = SV299 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV238 @ SV299 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV299 @ SV238 ) @ relation ) )
= $true )
| ( ( member_a @ SV299 @ carrier )
= $false )
| ( ( member_a @ SV238 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2525]) ).
thf(2593,plain,
! [SV300: set_Product_prod_a_a,SV239: set_a,SV339: a] :
( ( ( ~ ( member_a @ SV339 @ SV239 ) )
= $true )
| ( ( ( prefer1676310729than_a @ SV339 @ SV239 @ SV300 )
!= bot_bot_set_a )
= $true )
| ( ( SV239 = bot_bot_set_a )
= $true )
| ( ( prefer719835986ence_a @ SV239 @ SV300 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2526]) ).
thf(2594,plain,
! [SV341: set_a,SV241: a,SV302: set_a] :
( ( ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
| ( ord_less_eq_set_a @ SV302 @ SV341 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
| ~ ( ord_less_eq_set_a @ SV302 @ SV341 ) ) )
= $true )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2527]) ).
thf(2595,plain,
! [SV308: set_Product_prod_a_a,SV344: a > $o,SV249: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK45_SY626 @ SV249 @ SV344 @ SV308 ) @ ( sK50_SY644 @ SV308 @ SV344 @ SV249 ) ) @ SV308 )
| ( SV344 @ ( sK50_SY644 @ SV308 @ SV344 @ SV249 ) ) )
= $false )
| ( ( SV344 @ SV249 )
= $true )
| ( ( member_a @ SV249 @ ( range_a_a @ SV308 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2530]) ).
thf(2596,plain,
! [SV374: a,SV250: set_a] :
( ( ( ~ ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 )
| ~ ( ( SV250 != bot_bot_set_a ) ) )
= $false )
| ( ( member_a @ SV374 @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2531]) ).
thf(2597,plain,
! [SV250: set_a] :
( ( ( ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 ) )
= $true )
| ( ( SV250 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2532]) ).
thf(2598,plain,
! [SV250: set_a] :
( ( ( SV250 != bot_bot_set_a )
= $true )
| ( ( SV250 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2533]) ).
thf(2599,plain,
! [SV309: set_Product_prod_a_a,SV367: a,SV252: set_a,SV345: a] :
( ( ( ~ ( member_a @ SV345 @ SV252 )
| ~ ( member_a @ SV367 @ SV252 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV345 @ SV367 ) @ SV309 )
= $false )
| ( ( refl_on_a @ SV252 @ SV309 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2534]) ).
thf(2600,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
= $true )
| ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2535]) ).
thf(2601,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) )
= $true )
| ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2536]) ).
thf(2602,plain,
! [SV310: set_Product_prod_a_a,SV253: a,SV376: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV376 @ SV253 ) @ SV310 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
| ~ ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2537]) ).
thf(2603,plain,
! [SV254: set_a] :
( ( ( ~ ( member_a @ ( sK44_SY516 @ SV254 ) @ SV254 ) )
= $false )
| ( ( is_singleton_a @ SV254 )
= $true )
| ( ( SV254 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2538]) ).
thf(2604,plain,
! [SV254: set_a] :
( ( ( ~ ( member_a @ ( sK46_SY642 @ SV254 ) @ SV254 )
| ( ( sK44_SY516 @ SV254 )
= ( sK46_SY642 @ SV254 ) ) )
= $false )
| ( ( is_singleton_a @ SV254 )
= $true )
| ( ( SV254 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2538]) ).
thf(2605,plain,
! [SV346: a,SV311: a,SV255: a] :
( ( ( ~ ( member_a @ SV255 @ carrier )
| ~ ( member_a @ SV311 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV346 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2539]) ).
thf(2606,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ( ~ ( member_a @ SV257 @ carrier )
| ~ ( member_a @ SV313 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV348 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2540]) ).
thf(2607,plain,
! [SV316: set_Product_prod_a_a,SV372: a,SV260: set_a,SV377: a] :
( ( ( ~ ( member_a @ SV377 @ SV260 ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV372 @ SV377 ) @ SV316 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV377 @ SV372 ) @ SV316 ) )
= $true )
| ( ( member_a @ SV372 @ SV260 )
= $false )
| ( ( prefer719835986ence_a @ SV260 @ SV316 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2542]) ).
thf(2608,plain,
! [SV317: set_a,SV351: set_a,SV261: a] :
( ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= ( SV317 = SV351 ) )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2543]) ).
thf(2609,plain,
! [SV263: a,SV319: set_a] :
( ( ( SV319
!= ( insert_a @ SV263 @ ( sK43_SY607 @ SV263 @ SV319 ) ) )
= $false )
| ( ( member_a @ SV263 @ SV319 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2545]) ).
thf(2610,plain,
! [SV319: set_a,SV263: a] :
( ( ( ~ ~ ( member_a @ SV263 @ ( sK43_SY607 @ SV263 @ SV319 ) ) )
= $false )
| ( ( member_a @ SV263 @ SV319 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2545]) ).
thf(2611,plain,
! [SV320: set_Product_prod_a_a,SV373: a,SV370: a,SV264: set_a,SV353: a] :
( ( ( ~ ( ~ ~ ( ~ ( member_a @ SV353 @ SV264 )
| ~ ( member_a @ SV370 @ SV264 ) )
| ~ ( member_a @ SV373 @ SV264 ) ) )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2546]) ).
thf(2612,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) )
| ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2547]) ).
thf(2613,plain,
! [SV265: a,SV321: a] :
( ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2547]) ).
thf(2614,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2548]) ).
thf(2615,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ~ ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2548]) ).
thf(2616,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( SV267 != SV323 )
= $true )
| ( ( ~ ( member_a @ SV267 @ SV355 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2549]) ).
thf(2617,plain,
! [SV205: set_a] :
( ( ( ! [SY426: a] :
~ ( member_a @ SY426 @ SV205 ) )
= $true )
| ( ( member_a @ ( sK37_SY426 @ SV205 ) @ SV205 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2554]) ).
thf(2618,plain,
! [SV205: set_a] :
( ( ( SV205 = bot_bot_set_a )
= $true )
| ( ( member_a @ ( sK37_SY426 @ SV205 ) @ SV205 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2555]) ).
thf(2619,plain,
! [SV205: set_a,SV378: a] :
( ( ( member_a @ SV378 @ SV205 )
= $false )
| ( ( SV205 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2556]) ).
thf(2620,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
= $true )
| ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2561]) ).
thf(2621,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) )
= $true )
| ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2562]) ).
thf(2622,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ~ ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) ) )
= $false )
| ( ( SV208 = SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2563]) ).
thf(2623,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ~ ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) )
= $false )
| ( ( SV208 = SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2563]) ).
thf(2624,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ~ ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) ) )
= $false )
| ( ( member_a @ SV208 @ SV324 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2564]) ).
thf(2625,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ~ ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) ) )
= $false )
| ( ( member_a @ SV208 @ SV324 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2564]) ).
thf(2626,plain,
! [SV274: set_a,SV212: a] :
( ( ( member_a @ SV212 @ SV274 )
= $false )
| ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2570]) ).
thf(2627,plain,
! [SV274: set_a,SV212: a] :
( ( ( member_a @ SV212 @ ( uminus_uminus_set_a @ SV274 ) )
= $true )
| ( ( member_a @ SV212 @ SV274 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2571]) ).
thf(2628,plain,
! [SV274: set_a,SV212: a] :
( ( ( ~ ( member_a @ SV212 @ SV274 ) )
= $true )
| ( ( member_a @ SV212 @ SV274 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2572]) ).
thf(2629,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) )
= $false )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2574]) ).
thf(2630,plain,
! [SV276: set_Product_prod_a_a,SV375: a,SV214: a] :
( ( ( ! [SY643: a] :
~ ~ ( ( SV214 != SY643 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SY643 ) @ SV276 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2575]) ).
thf(2631,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2576]) ).
thf(2632,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2576]) ).
thf(2633,plain,
! [SV279: set_a,SV357: set_a] :
( ( ( ~ ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV279 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 )
| ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2577]) ).
thf(2634,plain,
! [SV279: set_a,SV357: set_a] :
( ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV357 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 )
| ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2577]) ).
thf(2635,plain,
! [SV328: set_a,SV281: set_a,SV219: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2578]) ).
thf(2636,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2579]) ).
thf(2637,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( member_a @ SV219 @ SV328 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2580]) ).
thf(2638,plain,
! [SV220: set_a,SV282: set_Product_prod_a_a] :
( ( ( ( sK35_SY558 @ SV282 @ SV220 )
!= ( sK39_SY640 @ SV220 @ SV282 ) )
= $true )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2582]) ).
thf(2639,plain,
! [SV220: set_a,SV282: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK35_SY558 @ SV282 @ SV220 ) @ ( sK39_SY640 @ SV220 @ SV282 ) ) @ SV282 )
= $false )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2583]) ).
thf(2640,plain,
! [SV282: set_Product_prod_a_a,SV220: set_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK39_SY640 @ SV220 @ SV282 ) @ ( sK35_SY558 @ SV282 @ SV220 ) ) @ SV282 )
= $false )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2583]) ).
thf(2641,plain,
! [SV286: set_Product_prod_a_a,SV371: a,SV358: a,SV224: set_a,SV330: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV330 @ SV224 )
| ~ ( member_a @ SV358 @ SV224 ) )
| ~ ( member_a @ SV371 @ SV224 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2584]) ).
thf(2642,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2585]) ).
thf(2643,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2585]) ).
thf(2644,plain,
! [SV287: set_a,SV359: set_a] :
( ( ( ~ ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV287 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 )
| ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2586]) ).
thf(2645,plain,
! [SV287: set_a,SV359: set_a] :
( ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV359 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 )
| ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2586]) ).
thf(2646,plain,
! [SV291: set_Product_prod_a_a,SV333: a,SV229: set_a,SV361: a] :
( ( ( member_a @ SV361 @ SV229 )
= $false )
| ( ( ~ ( ( SV333 != SV361 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV333 @ SV361 ) @ SV291 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV361 @ SV333 ) @ SV291 ) )
= $true )
| ( ( member_a @ SV333 @ SV229 )
= $false )
| ( ( prefer719835986ence_a @ SV229 @ SV291 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2587]) ).
thf(2647,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ( total_on_a @ SV294 @ SV363 ) )
= $false )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2588]) ).
thf(2648,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2588]) ).
thf(2649,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2589]) ).
thf(2650,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ! [SY645: a] :
( ~ ( member_a @ SY645 @ SV294 )
| ~ ( ( ( sK49_SY636 @ SV363 @ SV294 )
!= SY645 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SY645 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY645 @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2589]) ).
thf(2651,plain,
! [SV295: set_a,SV233: a,SV364: set_a,SV337: a] :
( ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2590]) ).
thf(2652,plain,
! [SV297: set_Product_prod_a_a,SV365: a,SV236: set_a,SV338: a] :
( ( ( ~ ( member_a @ SV338 @ SV236 ) )
= $true )
| ( ( ~ ( member_a @ SV365 @ SV236 ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2591]) ).
thf(2653,plain,
! [SV299: a,SV238: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV238 @ SV299 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV299 @ SV238 ) @ relation )
= $true )
| ( ( SV238 = SV299 )
= $true )
| ( ( member_a @ SV299 @ carrier )
= $false )
| ( ( member_a @ SV238 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2592]) ).
thf(2654,plain,
! [SV300: set_Product_prod_a_a,SV239: set_a,SV339: a] :
( ( ( member_a @ SV339 @ SV239 )
= $false )
| ( ( ( prefer1676310729than_a @ SV339 @ SV239 @ SV300 )
!= bot_bot_set_a )
= $true )
| ( ( SV239 = bot_bot_set_a )
= $true )
| ( ( prefer719835986ence_a @ SV239 @ SV300 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2593]) ).
thf(2655,plain,
! [SV341: set_a,SV241: a,SV302: set_a] :
( ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
| ~ ( ord_less_eq_set_a @ SV302 @ SV341 ) ) )
= $true )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2594]) ).
thf(2656,plain,
! [SV241: a,SV341: set_a,SV302: set_a] :
( ( ( ord_less_eq_set_a @ SV302 @ SV341 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
| ~ ( ord_less_eq_set_a @ SV302 @ SV341 ) ) )
= $true )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2594]) ).
thf(2657,plain,
! [SV308: set_Product_prod_a_a,SV344: a > $o,SV249: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK45_SY626 @ SV249 @ SV344 @ SV308 ) @ ( sK50_SY644 @ SV308 @ SV344 @ SV249 ) ) @ SV308 ) )
= $false )
| ( ( SV344 @ SV249 )
= $true )
| ( ( member_a @ SV249 @ ( range_a_a @ SV308 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2595]) ).
thf(2658,plain,
! [SV249: a,SV308: set_Product_prod_a_a,SV344: a > $o] :
( ( ( SV344 @ ( sK50_SY644 @ SV308 @ SV344 @ SV249 ) )
= $false )
| ( ( SV344 @ SV249 )
= $true )
| ( ( member_a @ SV249 @ ( range_a_a @ SV308 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2595]) ).
thf(2659,plain,
! [SV374: a,SV250: set_a] :
( ( ( ~ ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 ) )
= $false )
| ( ( member_a @ SV374 @ SV250 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2596]) ).
thf(2660,plain,
! [SV374: a,SV250: set_a] :
( ( ( ~ ( ( SV250 != bot_bot_set_a ) ) )
= $false )
| ( ( member_a @ SV374 @ SV250 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2596]) ).
thf(2661,plain,
! [SV250: set_a] :
( ( ( ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 ) )
= $false )
| ( ( SV250 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2597]) ).
thf(2662,plain,
! [SV250: set_a] :
( ( ( SV250 = bot_bot_set_a )
= $false )
| ( ( SV250 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2598]) ).
thf(2663,plain,
! [SV309: set_Product_prod_a_a,SV367: a,SV252: set_a,SV345: a] :
( ( ( ~ ( member_a @ SV345 @ SV252 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV345 @ SV367 ) @ SV309 )
= $false )
| ( ( refl_on_a @ SV252 @ SV309 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2599]) ).
thf(2664,plain,
! [SV309: set_Product_prod_a_a,SV345: a,SV252: set_a,SV367: a] :
( ( ( ~ ( member_a @ SV367 @ SV252 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV345 @ SV367 ) @ SV309 )
= $false )
| ( ( refl_on_a @ SV252 @ SV309 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2599]) ).
thf(2665,plain,
! [SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) )
= $false )
| ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2601]) ).
thf(2666,plain,
! [SV376: a,SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ~ ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
| ~ ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV376 @ SV253 ) @ SV310 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2602]) ).
thf(2667,plain,
! [SV254: set_a] :
( ( ( member_a @ ( sK44_SY516 @ SV254 ) @ SV254 )
= $true )
| ( ( is_singleton_a @ SV254 )
= $true )
| ( ( SV254 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2603]) ).
thf(2668,plain,
! [SV254: set_a] :
( ( ( ~ ( member_a @ ( sK46_SY642 @ SV254 ) @ SV254 ) )
= $false )
| ( ( is_singleton_a @ SV254 )
= $true )
| ( ( SV254 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2604]) ).
thf(2669,plain,
! [SV254: set_a] :
( ( ( ( sK44_SY516 @ SV254 )
= ( sK46_SY642 @ SV254 ) )
= $false )
| ( ( is_singleton_a @ SV254 )
= $true )
| ( ( SV254 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2604]) ).
thf(2670,plain,
! [SV346: a,SV311: a,SV255: a] :
( ( ( ~ ( member_a @ SV255 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV311 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV346 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2605]) ).
thf(2671,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ( ~ ( member_a @ SV257 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV313 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV348 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2606]) ).
thf(2672,plain,
! [SV316: set_Product_prod_a_a,SV372: a,SV260: set_a,SV377: a] :
( ( ( member_a @ SV377 @ SV260 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV372 @ SV377 ) @ SV316 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV377 @ SV372 ) @ SV316 ) )
= $true )
| ( ( member_a @ SV372 @ SV260 )
= $false )
| ( ( prefer719835986ence_a @ SV260 @ SV316 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2607]) ).
thf(2673,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( ~ ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
| ( SV317 = SV351 ) )
| ~ ( ( ( insert_a @ SV261 @ SV317 )
!= ( insert_a @ SV261 @ SV351 ) )
| ( SV317 != SV351 ) ) )
= $true )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2608]) ).
thf(2674,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= ( SV317 = SV351 ) )
= $true )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2608]) ).
thf(2675,plain,
! [SV263: a,SV319: set_a] :
( ( ( SV319
= ( insert_a @ SV263 @ ( sK43_SY607 @ SV263 @ SV319 ) ) )
= $true )
| ( ( member_a @ SV263 @ SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2609]) ).
thf(2676,plain,
! [SV319: set_a,SV263: a] :
( ( ( ~ ( member_a @ SV263 @ ( sK43_SY607 @ SV263 @ SV319 ) ) )
= $true )
| ( ( member_a @ SV263 @ SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2610]) ).
thf(2677,plain,
! [SV320: set_Product_prod_a_a,SV373: a,SV370: a,SV264: set_a,SV353: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV353 @ SV264 )
| ~ ( member_a @ SV370 @ SV264 ) )
| ~ ( member_a @ SV373 @ SV264 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2611]) ).
thf(2678,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2612]) ).
thf(2679,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2614]) ).
thf(2680,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2615]) ).
thf(2681,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( SV267 = SV323 )
= $false )
| ( ( ~ ( member_a @ SV267 @ SV355 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2616]) ).
thf(2682,plain,
! [SV205: set_a,SV379: a] :
( ( ( ~ ( member_a @ SV379 @ SV205 ) )
= $true )
| ( ( member_a @ ( sK37_SY426 @ SV205 ) @ SV205 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2617]) ).
thf(2683,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( SV208 = SV271 )
= $true )
| ( ( member_a @ SV208 @ SV324 )
= $true )
| ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2621]) ).
thf(2684,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
= $true )
| ( ( SV208 = SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2622]) ).
thf(2685,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) )
= $true )
| ( ( SV208 = SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2623]) ).
thf(2686,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( member_a @ SV208 @ ( insert_a @ SV271 @ SV324 ) )
= $true )
| ( ( member_a @ SV208 @ SV324 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2624]) ).
thf(2687,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( ( SV208 = SV271 )
| ( member_a @ SV208 @ SV324 ) )
= $true )
| ( ( member_a @ SV208 @ SV324 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2625]) ).
thf(2688,plain,
! [SV274: set_a,SV212: a] :
( ( ( member_a @ SV212 @ SV274 )
= $false )
| ( ( member_a @ SV212 @ SV274 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2628]) ).
thf(2689,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ~ ! [SY646: a] :
~ ~ ( ( SV214 != SY646 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK51_SY551 @ SV276 @ SV214 ) @ SY646 ) @ SV276 ) ) )
= $false )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2629]) ).
thf(2690,plain,
! [SV276: set_Product_prod_a_a,SV375: a,SV380: a,SV214: a] :
( ( ( ~ ~ ( ( SV214 != SV380 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2630]) ).
thf(2691,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= $true )
| ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2631]) ).
thf(2692,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2632]) ).
thf(2693,plain,
! [SV279: set_a,SV357: set_a] :
( ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV279 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 )
| ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2633]) ).
thf(2694,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 )
| ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) )
= $false )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV357 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2634]) ).
thf(2695,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2636]) ).
thf(2696,plain,
! [SV219: a,SV328: set_a,SV281: set_a] :
( ( ( ord_less_eq_set_a @ SV281 @ SV328 )
= $false )
| ( ( member_a @ SV219 @ SV328 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2637]) ).
thf(2697,plain,
! [SV220: set_a,SV282: set_Product_prod_a_a] :
( ( ( ( sK35_SY558 @ SV282 @ SV220 )
= ( sK39_SY640 @ SV220 @ SV282 ) )
= $false )
| ( ( total_on_a @ SV220 @ SV282 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2638]) ).
thf(2698,plain,
! [SV286: set_Product_prod_a_a,SV371: a,SV358: a,SV224: set_a,SV330: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV330 @ SV224 )
| ~ ( member_a @ SV358 @ SV224 ) ) )
= $true )
| ( ( ~ ( member_a @ SV371 @ SV224 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2641]) ).
thf(2699,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= $true )
| ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2642]) ).
thf(2700,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2643]) ).
thf(2701,plain,
! [SV287: set_a,SV359: set_a] :
( ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV287 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 )
| ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2644]) ).
thf(2702,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 )
| ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) )
= $false )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV359 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2645]) ).
thf(2703,plain,
! [SV229: set_a,SV291: set_Product_prod_a_a,SV361: a,SV333: a] :
( ( ( ~ ( ( SV333 != SV361 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV333 @ SV361 ) @ SV291 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV361 @ SV333 ) @ SV291 ) )
= $true )
| ( ( member_a @ SV361 @ SV229 )
= $false )
| ( ( member_a @ SV333 @ SV229 )
= $false )
| ( ( prefer719835986ence_a @ SV229 @ SV291 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2646]) ).
thf(2704,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( total_on_a @ SV294 @ SV363 )
= $true )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2647]) ).
thf(2705,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $true )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2648]) ).
thf(2706,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a] :
( ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2649]) ).
thf(2707,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
| ~ ( ( ( sK49_SY636 @ SV363 @ SV294 )
!= ( sK52_SY645 @ SV363 @ SV294 ) ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2650]) ).
thf(2708,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
| ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2651]) ).
thf(2709,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2651]) ).
thf(2710,plain,
! [SV297: set_Product_prod_a_a,SV365: a,SV236: set_a,SV338: a] :
( ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( ~ ( member_a @ SV365 @ SV236 ) )
= $true )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2652]) ).
thf(2711,plain,
! [SV300: set_Product_prod_a_a,SV239: set_a,SV339: a] :
( ( ( ( prefer1676310729than_a @ SV339 @ SV239 @ SV300 )
= bot_bot_set_a )
= $false )
| ( ( member_a @ SV339 @ SV239 )
= $false )
| ( ( SV239 = bot_bot_set_a )
= $true )
| ( ( prefer719835986ence_a @ SV239 @ SV300 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2654]) ).
thf(2712,plain,
! [SV341: set_a,SV241: a,SV302: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
| ~ ( ord_less_eq_set_a @ SV302 @ SV341 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
= $false )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2655]) ).
thf(2713,plain,
! [SV341: set_a,SV241: a,SV302: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
| ~ ( ord_less_eq_set_a @ SV302 @ SV341 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV302 @ SV341 )
= $false )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2656]) ).
thf(2714,plain,
! [SV308: set_Product_prod_a_a,SV344: a > $o,SV249: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK45_SY626 @ SV249 @ SV344 @ SV308 ) @ ( sK50_SY644 @ SV308 @ SV344 @ SV249 ) ) @ SV308 )
= $true )
| ( ( SV344 @ SV249 )
= $true )
| ( ( member_a @ SV249 @ ( range_a_a @ SV308 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2657]) ).
thf(2715,plain,
! [SV374: a,SV250: set_a] :
( ( ( ~ ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 ) )
= $true )
| ( ( member_a @ SV374 @ SV250 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2659]) ).
thf(2716,plain,
! [SV374: a,SV250: set_a] :
( ( ( SV250 != bot_bot_set_a )
= $true )
| ( ( member_a @ SV374 @ SV250 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2660]) ).
thf(2717,plain,
! [SV250: set_a] :
( ( ( ~ ( member_a @ ( sK53_SY509 @ SV250 ) @ SV250 ) )
= $false )
| ( ( SV250 = bot_bot_set_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2661]) ).
thf(2718,plain,
! [SV309: set_Product_prod_a_a,SV367: a,SV252: set_a,SV345: a] :
( ( ( member_a @ SV345 @ SV252 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV345 @ SV367 ) @ SV309 )
= $false )
| ( ( refl_on_a @ SV252 @ SV309 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2663]) ).
thf(2719,plain,
! [SV309: set_Product_prod_a_a,SV345: a,SV252: set_a,SV367: a] :
( ( ( member_a @ SV367 @ SV252 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV345 @ SV367 ) @ SV309 )
= $false )
| ( ( refl_on_a @ SV252 @ SV309 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2664]) ).
thf(2720,plain,
! [SV253: a,SV310: set_Product_prod_a_a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK54_SY595 @ SV310 @ SV253 ) @ SV253 ) @ SV310 ) )
= $false )
| ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2665]) ).
thf(2721,plain,
! [SV376: a,SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ~ ( member_a @ SV253 @ ( range_a_a @ SV310 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV376 @ SV253 ) @ SV310 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2722,plain,
! [SV376: a,SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ~ ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV376 @ SV253 ) @ SV310 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2723,plain,
! [SV254: set_a] :
( ( ( member_a @ ( sK46_SY642 @ SV254 ) @ SV254 )
= $true )
| ( ( is_singleton_a @ SV254 )
= $true )
| ( ( SV254 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2668]) ).
thf(2724,plain,
! [SV346: a,SV311: a,SV255: a] :
( ( ( member_a @ SV255 @ carrier )
= $false )
| ( ( ~ ( member_a @ SV311 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV346 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2670]) ).
thf(2725,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( ~ ( member_a @ SV313 @ carrier ) )
= $true )
| ( ( ~ ( member_a @ SV348 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2671]) ).
thf(2726,plain,
! [SV260: set_a,SV316: set_Product_prod_a_a,SV377: a,SV372: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV372 @ SV377 ) @ SV316 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV377 @ SV372 ) @ SV316 )
= $true )
| ( ( member_a @ SV377 @ SV260 )
= $false )
| ( ( member_a @ SV372 @ SV260 )
= $false )
| ( ( prefer719835986ence_a @ SV260 @ SV316 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2672]) ).
thf(2727,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( ~ ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
| ( SV317 = SV351 ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV261 @ SV317 )
!= ( insert_a @ SV261 @ SV351 ) )
| ( SV317 != SV351 ) ) )
= $true )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2673]) ).
thf(2728,plain,
! [SV319: set_a,SV263: a] :
( ( ( member_a @ SV263 @ ( sK43_SY607 @ SV263 @ SV319 ) )
= $false )
| ( ( member_a @ SV263 @ SV319 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2676]) ).
thf(2729,plain,
! [SV320: set_Product_prod_a_a,SV373: a,SV370: a,SV264: set_a,SV353: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV353 @ SV264 )
| ~ ( member_a @ SV370 @ SV264 ) ) )
= $true )
| ( ( ~ ( member_a @ SV373 @ SV264 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2677]) ).
thf(2730,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2678]) ).
thf(2731,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2680]) ).
thf(2732,plain,
! [SV323: a,SV355: set_a,SV267: a] :
( ( ( member_a @ SV267 @ SV355 )
= $false )
| ( ( SV267 = SV323 )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2681]) ).
thf(2733,plain,
! [SV205: set_a,SV379: a] :
( ( ( member_a @ SV379 @ SV205 )
= $false )
| ( ( member_a @ ( sK37_SY426 @ SV205 ) @ SV205 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2682]) ).
thf(2734,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( SV208 = SV271 )
= $true )
| ( ( member_a @ SV208 @ SV324 )
= $true )
| ( ( SV208 = SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2685]) ).
thf(2735,plain,
! [SV324: set_a,SV271: a,SV208: a] :
( ( ( SV208 = SV271 )
= $true )
| ( ( member_a @ SV208 @ SV324 )
= $true )
| ( ( member_a @ SV208 @ SV324 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2687]) ).
thf(2736,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ! [SY646: a] :
~ ~ ( ( SV214 != SY646 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK51_SY551 @ SV276 @ SV214 ) @ SY646 ) @ SV276 ) ) )
= $true )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2689]) ).
thf(2737,plain,
! [SV276: set_Product_prod_a_a,SV375: a,SV380: a,SV214: a] :
( ( ( ~ ( ( SV214 != SV380 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2690]) ).
thf(2738,plain,
! [SV357: set_a,SV279: set_a,SV381: a] :
( ( ( ~ ( member_a @ SV381 @ SV279 )
| ( member_a @ SV381 @ SV357 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2692]) ).
thf(2739,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 )
| ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) )
= $false )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV279 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2693]) ).
thf(2740,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 ) )
= $false )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV357 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2694]) ).
thf(2741,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) )
= $false )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV357 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2694]) ).
thf(2742,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( ~ ( member_a @ SV219 @ SV328 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2695]) ).
thf(2743,plain,
! [SV219: a,SV328: set_a,SV281: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2695]) ).
thf(2744,plain,
! [SV328: set_a,SV281: set_a,SV219: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
| ~ ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) )
= $false )
| ( ( member_a @ SV219 @ SV328 )
= $false )
| ( ( ord_less_eq_set_a @ SV281 @ SV328 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2696]) ).
thf(2745,plain,
! [SV286: set_Product_prod_a_a,SV371: a,SV358: a,SV224: set_a,SV330: a] :
( ( ( ~ ( ~ ( member_a @ SV330 @ SV224 )
| ~ ( member_a @ SV358 @ SV224 ) ) )
= $false )
| ( ( ~ ( member_a @ SV371 @ SV224 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2698]) ).
thf(2746,plain,
! [SV359: set_a,SV287: set_a,SV382: a] :
( ( ( ~ ( member_a @ SV382 @ SV287 )
| ( member_a @ SV382 @ SV359 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2700]) ).
thf(2747,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 )
| ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) )
= $false )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV287 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2701]) ).
thf(2748,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 ) )
= $false )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV359 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2702]) ).
thf(2749,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) )
= $false )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV359 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2702]) ).
thf(2750,plain,
! [SV229: set_a,SV291: set_Product_prod_a_a,SV361: a,SV333: a] :
( ( ( SV333 != SV361 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV333 @ SV361 ) @ SV291 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV361 @ SV333 ) @ SV291 ) )
= $true )
| ( ( member_a @ SV361 @ SV229 )
= $false )
| ( ( member_a @ SV333 @ SV229 )
= $false )
| ( ( prefer719835986ence_a @ SV229 @ SV291 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2703]) ).
thf(2751,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV383: a] :
( ( ( ~ ( member_a @ SV383 @ SV294 )
| ! [SY647: a] :
( ~ ( member_a @ SY647 @ SV294 )
| ~ ( ( SV383 != SY647 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV383 @ SY647 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY647 @ SV383 ) @ SV363 ) ) )
= $true )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2705]) ).
thf(2752,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2706]) ).
thf(2753,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a] :
( ( ( ~ ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2707]) ).
thf(2754,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a] :
( ( ( ~ ( ( ( sK49_SY636 @ SV363 @ SV294 )
!= ( sK52_SY645 @ SV363 @ SV294 ) ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2707]) ).
thf(2755,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2708]) ).
thf(2756,plain,
! [SV297: set_Product_prod_a_a,SV338: a,SV236: set_a,SV365: a] :
( ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2710]) ).
thf(2757,plain,
! [SV341: set_a,SV241: a,SV302: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
= $false )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2712]) ).
thf(2758,plain,
! [SV241: a,SV341: set_a,SV302: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV302 @ SV341 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
= $false )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2712]) ).
thf(2759,plain,
! [SV341: set_a,SV241: a,SV302: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV302 @ SV341 )
= $false )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2713]) ).
thf(2760,plain,
! [SV241: a,SV341: set_a,SV302: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV302 @ SV341 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV302 @ SV341 )
= $false )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2713]) ).
thf(2761,plain,
! [SV374: a,SV250: set_a] :
( ( ( ! [SY509: a] :
~ ( member_a @ SY509 @ SV250 ) )
= $false )
| ( ( member_a @ SV374 @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2715]) ).
thf(2762,plain,
! [SV374: a,SV250: set_a] :
( ( ( SV250 = bot_bot_set_a )
= $false )
| ( ( member_a @ SV374 @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2716]) ).
thf(2763,plain,
! [SV250: set_a] :
( ( ( member_a @ ( sK53_SY509 @ SV250 ) @ SV250 )
= $true )
| ( ( SV250 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2717]) ).
thf(2764,plain,
! [SV253: a,SV310: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK54_SY595 @ SV310 @ SV253 ) @ SV253 ) @ SV310 )
= $true )
| ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2720]) ).
thf(2765,plain,
! [SV376: a,SV310: set_Product_prod_a_a,SV253: a] :
( ( ( member_a @ SV253 @ ( range_a_a @ SV310 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV376 @ SV253 ) @ SV310 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2721]) ).
thf(2766,plain,
! [SV376: a,SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ~ ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV376 @ SV253 ) @ SV310 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2722]) ).
thf(2767,plain,
! [SV346: a,SV255: a,SV311: a] :
( ( ( member_a @ SV311 @ carrier )
= $false )
| ( ( member_a @ SV255 @ carrier )
= $false )
| ( ( ~ ( member_a @ SV346 @ carrier ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2724]) ).
thf(2768,plain,
! [SV348: a,SV257: a,SV313: a] :
( ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( ~ ( member_a @ SV348 @ carrier ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2725]) ).
thf(2769,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
| ( SV317 = SV351 ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV261 @ SV317 )
!= ( insert_a @ SV261 @ SV351 ) )
| ( SV317 != SV351 ) ) )
= $true )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2727]) ).
thf(2770,plain,
! [SV320: set_Product_prod_a_a,SV373: a,SV370: a,SV264: set_a,SV353: a] :
( ( ( ~ ( ~ ( member_a @ SV353 @ SV264 )
| ~ ( member_a @ SV370 @ SV264 ) ) )
= $false )
| ( ( ~ ( member_a @ SV373 @ SV264 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2729]) ).
thf(2771,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2730]) ).
thf(2772,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2730]) ).
thf(2773,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( SV267 != SV323 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2731]) ).
thf(2774,plain,
! [SV323: a,SV355: set_a,SV267: a] :
( ( ( ~ ( member_a @ SV267 @ SV355 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2731]) ).
thf(2775,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
| ~ ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) )
= $false )
| ( ( SV267 = SV323 )
= $false )
| ( ( member_a @ SV267 @ SV355 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2732]) ).
thf(2776,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ! [SY646: a] :
~ ~ ( ( SV214 != SY646 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK51_SY551 @ SV276 @ SV214 ) @ SY646 ) @ SV276 ) ) )
= $false )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2736]) ).
thf(2777,plain,
! [SV276: set_Product_prod_a_a,SV375: a,SV380: a,SV214: a] :
( ( ( ( SV214 != SV380 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2737]) ).
thf(2778,plain,
! [SV357: set_a,SV279: set_a,SV381: a] :
( ( ( ~ ( member_a @ SV381 @ SV279 ) )
= $true )
| ( ( member_a @ SV381 @ SV357 )
= $true )
| ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2738]) ).
thf(2779,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV279 @ SV357 ) )
= $false )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV279 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2739]) ).
thf(2780,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ~ ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) )
= $false )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV279 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2739]) ).
thf(2781,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= $true )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV357 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2740]) ).
thf(2782,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) )
= $true )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV357 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2741]) ).
thf(2783,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( member_a @ SV219 @ SV328 )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2742]) ).
thf(2784,plain,
! [SV219: a,SV328: set_a,SV281: set_a] :
( ( ( ord_less_eq_set_a @ SV281 @ SV328 )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2743]) ).
thf(2785,plain,
! [SV328: set_a,SV281: set_a,SV219: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 ) )
= $false )
| ( ( member_a @ SV219 @ SV328 )
= $false )
| ( ( ord_less_eq_set_a @ SV281 @ SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2744]) ).
thf(2786,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) )
= $false )
| ( ( member_a @ SV219 @ SV328 )
= $false )
| ( ( ord_less_eq_set_a @ SV281 @ SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2744]) ).
thf(2787,plain,
! [SV286: set_Product_prod_a_a,SV371: a,SV358: a,SV224: set_a,SV330: a] :
( ( ( ~ ( member_a @ SV330 @ SV224 )
| ~ ( member_a @ SV358 @ SV224 ) )
= $true )
| ( ( ~ ( member_a @ SV371 @ SV224 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2745]) ).
thf(2788,plain,
! [SV359: set_a,SV287: set_a,SV382: a] :
( ( ( ~ ( member_a @ SV382 @ SV287 ) )
= $true )
| ( ( member_a @ SV382 @ SV359 )
= $true )
| ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2746]) ).
thf(2789,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV287 @ SV359 ) )
= $false )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV287 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2747]) ).
thf(2790,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ~ ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) )
= $false )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV287 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2747]) ).
thf(2791,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= $true )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV359 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2748]) ).
thf(2792,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) )
= $true )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV359 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2749]) ).
thf(2793,plain,
! [SV229: set_a,SV291: set_Product_prod_a_a,SV361: a,SV333: a] :
( ( ( SV333 = SV361 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV333 @ SV361 ) @ SV291 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV361 @ SV333 ) @ SV291 ) )
= $true )
| ( ( member_a @ SV361 @ SV229 )
= $false )
| ( ( member_a @ SV333 @ SV229 )
= $false )
| ( ( prefer719835986ence_a @ SV229 @ SV291 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2750]) ).
thf(2794,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV383: a] :
( ( ( ~ ( member_a @ SV383 @ SV294 ) )
= $true )
| ( ( ! [SY647: a] :
( ~ ( member_a @ SY647 @ SV294 )
| ~ ( ( SV383 != SY647 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV383 @ SY647 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY647 @ SV383 ) @ SV363 ) ) )
= $true )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2751]) ).
thf(2795,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ( total_on_a @ SV294 @ SV363 ) )
= $false )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2752]) ).
thf(2796,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2752]) ).
thf(2797,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a] :
( ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2753]) ).
thf(2798,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a] :
( ( ( ~ ( ( ( sK49_SY636 @ SV363 @ SV294 )
!= ( sK52_SY645 @ SV363 @ SV294 ) ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2754]) ).
thf(2799,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a] :
( ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2754]) ).
thf(2800,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2755]) ).
thf(2801,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) )
| ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2756]) ).
thf(2802,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2756]) ).
thf(2803,plain,
! [SV341: set_a,SV241: a,SV302: set_a] :
( ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
= $false )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2757]) ).
thf(2804,plain,
! [SV241: a,SV341: set_a,SV302: set_a] :
( ( ( ord_less_eq_set_a @ SV302 @ SV341 )
= $true )
| ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
= $false )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2758]) ).
thf(2805,plain,
! [SV341: set_a,SV241: a,SV302: set_a] :
( ( ( ord_less_eq_set_a @ SV302 @ ( insert_a @ SV241 @ SV341 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV302 @ SV341 )
= $false )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2759]) ).
thf(2806,plain,
! [SV241: a,SV341: set_a,SV302: set_a] :
( ( ( ord_less_eq_set_a @ SV302 @ SV341 )
= $true )
| ( ( ord_less_eq_set_a @ SV302 @ SV341 )
= $false )
| ( ( member_a @ SV241 @ SV302 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2760]) ).
thf(2807,plain,
! [SV250: set_a,SV374: a] :
( ( ( ~ ( member_a @ ( sK55_SY509 @ SV374 @ SV250 ) @ SV250 ) )
= $false )
| ( ( member_a @ SV374 @ SV250 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2761]) ).
thf(2808,plain,
! [SV376: a,SV310: set_Product_prod_a_a,SV253: a] :
( ( ( ! [SY595: a] :
~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY595 @ SV253 ) @ SV310 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV376 @ SV253 ) @ SV310 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2766]) ).
thf(2809,plain,
! [SV311: a,SV255: a,SV346: a] :
( ( ( member_a @ SV346 @ carrier )
= $false )
| ( ( member_a @ SV255 @ carrier )
= $false )
| ( ( member_a @ SV311 @ carrier )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2767]) ).
thf(2810,plain,
! [SV313: a,SV257: a,SV348: a] :
( ( ( member_a @ SV348 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2768]) ).
thf(2811,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV261 @ SV317 )
!= ( insert_a @ SV261 @ SV351 ) )
| ( SV317 != SV351 ) ) )
= $true )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2769]) ).
thf(2812,plain,
! [SV261: a,SV351: set_a,SV317: set_a] :
( ( ( SV317 = SV351 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV261 @ SV317 )
!= ( insert_a @ SV261 @ SV351 ) )
| ( SV317 != SV351 ) ) )
= $true )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2769]) ).
thf(2813,plain,
! [SV320: set_Product_prod_a_a,SV373: a,SV370: a,SV264: set_a,SV353: a] :
( ( ( ~ ( member_a @ SV353 @ SV264 )
| ~ ( member_a @ SV370 @ SV264 ) )
= $true )
| ( ( ~ ( member_a @ SV373 @ SV264 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2770]) ).
thf(2814,plain,
! [SV265: a,SV321: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2771]) ).
thf(2815,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2772]) ).
thf(2816,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( SV267 = SV323 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2773]) ).
thf(2817,plain,
! [SV323: a,SV355: set_a,SV267: a] :
( ( ( member_a @ SV267 @ SV355 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2774]) ).
thf(2818,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) ) )
= $false )
| ( ( SV267 = SV323 )
= $false )
| ( ( member_a @ SV267 @ SV355 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2775]) ).
thf(2819,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ~ ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) )
= $false )
| ( ( SV267 = SV323 )
= $false )
| ( ( member_a @ SV267 @ SV355 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2775]) ).
thf(2820,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ~ ( ( SV214
!= ( sK56_SY646 @ SV276 @ SV214 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK51_SY551 @ SV276 @ SV214 ) @ ( sK56_SY646 @ SV276 @ SV214 ) ) @ SV276 ) ) )
= $false )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2776]) ).
thf(2821,plain,
! [SV276: set_Product_prod_a_a,SV375: a,SV380: a,SV214: a] :
( ( ( SV214 != SV380 )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2777]) ).
thf(2822,plain,
! [SV357: set_a,SV279: set_a,SV381: a] :
( ( ( member_a @ SV381 @ SV279 )
= $false )
| ( ( member_a @ SV381 @ SV357 )
= $true )
| ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2778]) ).
thf(2823,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ord_less_eq_set_a @ SV279 @ SV357 )
= $true )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV279 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2779]) ).
thf(2824,plain,
! [SV357: set_a,SV279: set_a] :
( ( ( ! [SY633: a] :
( ~ ( member_a @ SY633 @ SV279 )
| ( member_a @ SY633 @ SV357 ) ) )
= $true )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV279 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2780]) ).
thf(2825,plain,
! [SV357: set_a,SV279: set_a,SV384: a] :
( ( ( ~ ( member_a @ SV384 @ SV279 )
| ( member_a @ SV384 @ SV357 ) )
= $true )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV357 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2782]) ).
thf(2826,plain,
! [SV328: set_a,SV281: set_a,SV219: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV219 @ SV281 ) @ SV328 )
= $true )
| ( ( member_a @ SV219 @ SV328 )
= $false )
| ( ( ord_less_eq_set_a @ SV281 @ SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2785]) ).
thf(2827,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( ~ ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) ) )
= $true )
| ( ( member_a @ SV219 @ SV328 )
= $false )
| ( ( ord_less_eq_set_a @ SV281 @ SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2786]) ).
thf(2828,plain,
! [SV286: set_Product_prod_a_a,SV371: a,SV358: a,SV224: set_a,SV330: a] :
( ( ( ~ ( member_a @ SV330 @ SV224 ) )
= $true )
| ( ( ~ ( member_a @ SV358 @ SV224 ) )
= $true )
| ( ( ~ ( member_a @ SV371 @ SV224 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2787]) ).
thf(2829,plain,
! [SV359: set_a,SV287: set_a,SV382: a] :
( ( ( member_a @ SV382 @ SV287 )
= $false )
| ( ( member_a @ SV382 @ SV359 )
= $true )
| ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2788]) ).
thf(2830,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ord_less_eq_set_a @ SV287 @ SV359 )
= $true )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV287 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2789]) ).
thf(2831,plain,
! [SV359: set_a,SV287: set_a] :
( ( ( ! [SY635: a] :
( ~ ( member_a @ SY635 @ SV287 )
| ( member_a @ SY635 @ SV359 ) ) )
= $true )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV287 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2790]) ).
thf(2832,plain,
! [SV359: set_a,SV287: set_a,SV385: a] :
( ( ( ~ ( member_a @ SV385 @ SV287 )
| ( member_a @ SV385 @ SV359 ) )
= $true )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV359 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2792]) ).
thf(2833,plain,
! [SV229: set_a,SV291: set_Product_prod_a_a,SV361: a,SV333: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV333 @ SV361 ) @ SV291 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV361 @ SV333 ) @ SV291 )
= $true )
| ( ( SV333 = SV361 )
= $true )
| ( ( member_a @ SV361 @ SV229 )
= $false )
| ( ( member_a @ SV333 @ SV229 )
= $false )
| ( ( prefer719835986ence_a @ SV229 @ SV291 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2793]) ).
thf(2834,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV383: a] :
( ( ( member_a @ SV383 @ SV294 )
= $false )
| ( ( ! [SY647: a] :
( ~ ( member_a @ SY647 @ SV294 )
| ~ ( ( SV383 != SY647 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV383 @ SY647 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY647 @ SV383 ) @ SV363 ) ) )
= $true )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2794]) ).
thf(2835,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( total_on_a @ SV294 @ SV363 )
= $true )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2795]) ).
thf(2836,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $true )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2796]) ).
thf(2837,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2797]) ).
thf(2838,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a] :
( ( ( ( sK49_SY636 @ SV363 @ SV294 )
!= ( sK52_SY645 @ SV363 @ SV294 ) )
= $true )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2798]) ).
thf(2839,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2799]) ).
thf(2840,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2799]) ).
thf(2841,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2800]) ).
thf(2842,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2800]) ).
thf(2843,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2801]) ).
thf(2844,plain,
! [SV250: set_a,SV374: a] :
( ( ( member_a @ ( sK55_SY509 @ SV374 @ SV250 ) @ SV250 )
= $true )
| ( ( member_a @ SV374 @ SV250 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2807]) ).
thf(2845,plain,
! [SV253: a,SV310: set_Product_prod_a_a,SV376: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK57_SY595 @ SV376 @ SV310 @ SV253 ) @ SV253 ) @ SV310 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV376 @ SV253 ) @ SV310 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2808]) ).
thf(2846,plain,
! [SV346: a,SV311: a,SV255: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation ) )
= $true )
| ( ( member_a @ SV311 @ carrier )
= $false )
| ( ( member_a @ SV255 @ carrier )
= $false )
| ( ( member_a @ SV346 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2809]) ).
thf(2847,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2810]) ).
thf(2848,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( ( ( insert_a @ SV261 @ SV317 )
!= ( insert_a @ SV261 @ SV351 ) )
| ( SV317 != SV351 ) )
= $false )
| ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= $false )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2811]) ).
thf(2849,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( ( ( insert_a @ SV261 @ SV317 )
!= ( insert_a @ SV261 @ SV351 ) )
| ( SV317 != SV351 ) )
= $false )
| ( ( SV317 = SV351 )
= $false )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2812]) ).
thf(2850,plain,
! [SV320: set_Product_prod_a_a,SV373: a,SV370: a,SV264: set_a,SV353: a] :
( ( ( ~ ( member_a @ SV353 @ SV264 ) )
= $true )
| ( ( ~ ( member_a @ SV370 @ SV264 ) )
= $true )
| ( ( ~ ( member_a @ SV373 @ SV264 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2813]) ).
thf(2851,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2814]) ).
thf(2852,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation ) )
= $true )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2815]) ).
thf(2853,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV267 @ SV323 ) @ ( id_on_a @ SV355 ) )
= $true )
| ( ( SV267 = SV323 )
= $false )
| ( ( member_a @ SV267 @ SV355 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2818]) ).
thf(2854,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ~ ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) ) )
= $true )
| ( ( SV267 = SV323 )
= $false )
| ( ( member_a @ SV267 @ SV355 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2819]) ).
thf(2855,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ( ( SV214
!= ( sK56_SY646 @ SV276 @ SV214 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK51_SY551 @ SV276 @ SV214 ) @ ( sK56_SY646 @ SV276 @ SV214 ) ) @ SV276 ) ) )
= $true )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2820]) ).
thf(2856,plain,
! [SV276: set_Product_prod_a_a,SV375: a,SV380: a,SV214: a] :
( ( ( SV214 = SV380 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2821]) ).
thf(2857,plain,
! [SV357: set_a,SV279: set_a,SV386: a] :
( ( ( ~ ( member_a @ SV386 @ SV279 )
| ( member_a @ SV386 @ SV357 ) )
= $true )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV279 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2824]) ).
thf(2858,plain,
! [SV357: set_a,SV279: set_a,SV384: a] :
( ( ( ~ ( member_a @ SV384 @ SV279 ) )
= $true )
| ( ( member_a @ SV384 @ SV357 )
= $true )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV357 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2825]) ).
thf(2859,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( ~ ( member_a @ SV219 @ SV328 )
| ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) )
= $false )
| ( ( member_a @ SV219 @ SV328 )
= $false )
| ( ( ord_less_eq_set_a @ SV281 @ SV328 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2827]) ).
thf(2860,plain,
! [SV286: set_Product_prod_a_a,SV371: a,SV358: a,SV224: set_a,SV330: a] :
( ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( ~ ( member_a @ SV358 @ SV224 ) )
= $true )
| ( ( ~ ( member_a @ SV371 @ SV224 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2828]) ).
thf(2861,plain,
! [SV359: set_a,SV287: set_a,SV387: a] :
( ( ( ~ ( member_a @ SV387 @ SV287 )
| ( member_a @ SV387 @ SV359 ) )
= $true )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV287 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2831]) ).
thf(2862,plain,
! [SV359: set_a,SV287: set_a,SV385: a] :
( ( ( ~ ( member_a @ SV385 @ SV287 ) )
= $true )
| ( ( member_a @ SV385 @ SV359 )
= $true )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV359 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2832]) ).
thf(2863,plain,
! [SV363: set_Product_prod_a_a,SV383: a,SV294: set_a,SV388: a] :
( ( ( ~ ( member_a @ SV388 @ SV294 )
| ~ ( ( SV383 != SV388 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV383 @ SV388 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV388 @ SV383 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV383 @ SV294 )
= $false )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2834]) ).
thf(2864,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV389: a] :
( ( ( ~ ( member_a @ SV389 @ SV294 )
| ! [SY648: a] :
( ~ ( member_a @ SY648 @ SV294 )
| ~ ( ( SV389 != SY648 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV389 @ SY648 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY648 @ SV389 ) @ SV363 ) ) )
= $true )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2836]) ).
thf(2865,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ( total_on_a @ SV294 @ SV363 ) )
= $false )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2837]) ).
thf(2866,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2837]) ).
thf(2867,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a] :
( ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false )
| ( ( ~ ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2838]) ).
thf(2868,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2839]) ).
thf(2869,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2840]) ).
thf(2870,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $false )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2841]) ).
thf(2871,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2842]) ).
thf(2872,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2843]) ).
thf(2873,plain,
! [SV253: a,SV310: set_Product_prod_a_a,SV376: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK57_SY595 @ SV376 @ SV310 @ SV253 ) @ SV253 ) @ SV310 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV376 @ SV253 ) @ SV310 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2845]) ).
thf(2874,plain,
! [SV346: a,SV311: a,SV255: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation ) )
= $true )
| ( ( member_a @ SV311 @ carrier )
= $false )
| ( ( member_a @ SV255 @ carrier )
= $false )
| ( ( member_a @ SV346 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2846]) ).
thf(2875,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2847]) ).
thf(2876,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( ( insert_a @ SV261 @ SV317 )
!= ( insert_a @ SV261 @ SV351 ) )
= $false )
| ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= $false )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2848]) ).
thf(2877,plain,
! [SV261: a,SV351: set_a,SV317: set_a] :
( ( ( SV317 != SV351 )
= $false )
| ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= $false )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2848]) ).
thf(2878,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( ( insert_a @ SV261 @ SV317 )
!= ( insert_a @ SV261 @ SV351 ) )
= $false )
| ( ( SV317 = SV351 )
= $false )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2849]) ).
thf(2879,plain,
! [SV261: a,SV351: set_a,SV317: set_a] :
( ( ( SV317 != SV351 )
= $false )
| ( ( SV317 = SV351 )
= $false )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2849]) ).
thf(2880,plain,
! [SV320: set_Product_prod_a_a,SV373: a,SV370: a,SV264: set_a,SV353: a] :
( ( ( member_a @ SV353 @ SV264 )
= $false )
| ( ( ~ ( member_a @ SV370 @ SV264 ) )
= $true )
| ( ( ~ ( member_a @ SV373 @ SV264 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2850]) ).
thf(2881,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2851]) ).
thf(2882,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2851]) ).
thf(2883,plain,
! [SV321: a,SV265: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2852]) ).
thf(2884,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( ( SV267 != SV323 )
| ~ ( member_a @ SV267 @ SV355 ) )
= $false )
| ( ( SV267 = SV323 )
= $false )
| ( ( member_a @ SV267 @ SV355 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2854]) ).
thf(2885,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ( SV214
!= ( sK56_SY646 @ SV276 @ SV214 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK51_SY551 @ SV276 @ SV214 ) @ ( sK56_SY646 @ SV276 @ SV214 ) ) @ SV276 ) )
= $false )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2855]) ).
thf(2886,plain,
! [SV214: a,SV276: set_Product_prod_a_a,SV380: a,SV375: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false )
| ( ( SV214 = SV380 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2856]) ).
thf(2887,plain,
! [SV357: set_a,SV279: set_a,SV386: a] :
( ( ( ~ ( member_a @ SV386 @ SV279 ) )
= $true )
| ( ( member_a @ SV386 @ SV357 )
= $true )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV279 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2857]) ).
thf(2888,plain,
! [SV357: set_a,SV279: set_a,SV384: a] :
( ( ( member_a @ SV384 @ SV279 )
= $false )
| ( ( member_a @ SV384 @ SV357 )
= $true )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV357 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2858]) ).
thf(2889,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( ~ ( member_a @ SV219 @ SV328 ) )
= $false )
| ( ( member_a @ SV219 @ SV328 )
= $false )
| ( ( ord_less_eq_set_a @ SV281 @ SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2859]) ).
thf(2890,plain,
! [SV219: a,SV328: set_a,SV281: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV281 @ SV328 ) )
= $false )
| ( ( member_a @ SV219 @ SV328 )
= $false )
| ( ( ord_less_eq_set_a @ SV281 @ SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2859]) ).
thf(2891,plain,
! [SV286: set_Product_prod_a_a,SV371: a,SV330: a,SV224: set_a,SV358: a] :
( ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( ~ ( member_a @ SV371 @ SV224 ) )
= $true )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2860]) ).
thf(2892,plain,
! [SV359: set_a,SV287: set_a,SV387: a] :
( ( ( ~ ( member_a @ SV387 @ SV287 ) )
= $true )
| ( ( member_a @ SV387 @ SV359 )
= $true )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV287 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2861]) ).
thf(2893,plain,
! [SV359: set_a,SV287: set_a,SV385: a] :
( ( ( member_a @ SV385 @ SV287 )
= $false )
| ( ( member_a @ SV385 @ SV359 )
= $true )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV359 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2862]) ).
thf(2894,plain,
! [SV363: set_Product_prod_a_a,SV383: a,SV294: set_a,SV388: a] :
( ( ( ~ ( member_a @ SV388 @ SV294 ) )
= $true )
| ( ( ~ ( ( SV383 != SV388 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV383 @ SV388 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV388 @ SV383 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV383 @ SV294 )
= $false )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2863]) ).
thf(2895,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV389: a] :
( ( ( ~ ( member_a @ SV389 @ SV294 ) )
= $true )
| ( ( ! [SY648: a] :
( ~ ( member_a @ SY648 @ SV294 )
| ~ ( ( SV389 != SY648 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV389 @ SY648 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY648 @ SV389 ) @ SV363 ) ) )
= $true )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2864]) ).
thf(2896,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( total_on_a @ SV294 @ SV363 )
= $true )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2865]) ).
thf(2897,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $true )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2866]) ).
thf(2898,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ( total_on_a @ SV294 @ SV363 )
| ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2867]) ).
thf(2899,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ( total_on_a @ SV294 @ SV363 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2868]) ).
thf(2900,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2868]) ).
thf(2901,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ( total_on_a @ SV294 @ SV363 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2869]) ).
thf(2902,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2869]) ).
thf(2903,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2870]) ).
thf(2904,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $false )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2870]) ).
thf(2905,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2871]) ).
thf(2906,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2872]) ).
thf(2907,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2872]) ).
thf(2908,plain,
! [SV255: a,SV346: a,SV311: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
= $false )
| ( ( member_a @ SV311 @ carrier )
= $false )
| ( ( member_a @ SV255 @ carrier )
= $false )
| ( ( member_a @ SV346 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2874]) ).
thf(2909,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2875]) ).
thf(2910,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= $true )
| ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= $false )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2876]) ).
thf(2911,plain,
! [SV261: a,SV351: set_a,SV317: set_a] :
( ( ( SV317 = SV351 )
= $true )
| ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= $false )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2877]) ).
thf(2912,plain,
! [SV351: set_a,SV317: set_a,SV261: a] :
( ( ( ( insert_a @ SV261 @ SV317 )
= ( insert_a @ SV261 @ SV351 ) )
= $true )
| ( ( SV317 = SV351 )
= $false )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2878]) ).
thf(2913,plain,
! [SV261: a,SV351: set_a,SV317: set_a] :
( ( ( SV317 = SV351 )
= $true )
| ( ( SV317 = SV351 )
= $false )
| ( ( member_a @ SV261 @ SV351 )
= $true )
| ( ( member_a @ SV261 @ SV317 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2879]) ).
thf(2914,plain,
! [SV320: set_Product_prod_a_a,SV373: a,SV353: a,SV264: set_a,SV370: a] :
( ( ( member_a @ SV370 @ SV264 )
= $false )
| ( ( member_a @ SV353 @ SV264 )
= $false )
| ( ( ~ ( member_a @ SV373 @ SV264 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2880]) ).
thf(2915,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2881]) ).
thf(2916,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2882]) ).
thf(2917,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2883]) ).
thf(2918,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( SV267 != SV323 )
= $false )
| ( ( SV267 = SV323 )
= $false )
| ( ( member_a @ SV267 @ SV355 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2884]) ).
thf(2919,plain,
! [SV323: a,SV355: set_a,SV267: a] :
( ( ( ~ ( member_a @ SV267 @ SV355 ) )
= $false )
| ( ( SV267 = SV323 )
= $false )
| ( ( member_a @ SV267 @ SV355 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2884]) ).
thf(2920,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( SV214
!= ( sK56_SY646 @ SV276 @ SV214 ) )
= $false )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2885]) ).
thf(2921,plain,
! [SV214: a,SV276: set_Product_prod_a_a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK51_SY551 @ SV276 @ SV214 ) @ ( sK56_SY646 @ SV276 @ SV214 ) ) @ SV276 ) )
= $false )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2885]) ).
thf(2922,plain,
! [SV375: a,SV380: a,SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
| ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) )
= $false )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2886]) ).
thf(2923,plain,
! [SV357: set_a,SV279: set_a,SV386: a] :
( ( ( member_a @ SV386 @ SV279 )
= $false )
| ( ( member_a @ SV386 @ SV357 )
= $true )
| ( ( member_a @ ( sK47_SY633 @ SV357 @ SV279 ) @ SV279 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2887]) ).
thf(2924,plain,
! [SV281: set_a,SV328: set_a,SV219: a] :
( ( ( member_a @ SV219 @ SV328 )
= $true )
| ( ( member_a @ SV219 @ SV328 )
= $false )
| ( ( ord_less_eq_set_a @ SV281 @ SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2889]) ).
thf(2925,plain,
! [SV219: a,SV328: set_a,SV281: set_a] :
( ( ( ord_less_eq_set_a @ SV281 @ SV328 )
= $true )
| ( ( member_a @ SV219 @ SV328 )
= $false )
| ( ( ord_less_eq_set_a @ SV281 @ SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2890]) ).
thf(2926,plain,
! [SV286: set_Product_prod_a_a,SV358: a,SV330: a,SV224: set_a,SV371: a] :
( ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2891]) ).
thf(2927,plain,
! [SV359: set_a,SV287: set_a,SV387: a] :
( ( ( member_a @ SV387 @ SV287 )
= $false )
| ( ( member_a @ SV387 @ SV359 )
= $true )
| ( ( member_a @ ( sK48_SY635 @ SV359 @ SV287 ) @ SV287 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2892]) ).
thf(2928,plain,
! [SV363: set_Product_prod_a_a,SV383: a,SV294: set_a,SV388: a] :
( ( ( member_a @ SV388 @ SV294 )
= $false )
| ( ( ~ ( ( SV383 != SV388 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV383 @ SV388 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV388 @ SV383 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV383 @ SV294 )
= $false )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2894]) ).
thf(2929,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV389: a] :
( ( ( member_a @ SV389 @ SV294 )
= $false )
| ( ( ! [SY648: a] :
( ~ ( member_a @ SY648 @ SV294 )
| ~ ( ( SV389 != SY648 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV389 @ SY648 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY648 @ SV389 ) @ SV363 ) ) )
= $true )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2895]) ).
thf(2930,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV390: a] :
( ( ( ~ ( member_a @ SV390 @ SV294 )
| ! [SY649: a] :
( ~ ( member_a @ SY649 @ SV294 )
| ~ ( ( SV390 != SY649 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV390 @ SY649 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY649 @ SV390 ) @ SV363 ) ) )
= $true )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2897]) ).
thf(2931,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ( total_on_a @ SV294 @ SV363 ) )
= $false )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2898]) ).
thf(2932,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ~ ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $false )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2898]) ).
thf(2933,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( total_on_a @ SV294 @ SV363 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2899]) ).
thf(2934,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2900]) ).
thf(2935,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( total_on_a @ SV294 @ SV363 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2901]) ).
thf(2936,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2902]) ).
thf(2937,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2903]) ).
thf(2938,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2904]) ).
thf(2939,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
= $false )
| ( ( ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2905]) ).
thf(2940,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2906]) ).
thf(2941,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2907]) ).
thf(2942,plain,
! [SV255: a,SV346: a,SV311: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV311 @ SV346 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV346 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV255 @ SV311 ) @ relation )
= $false )
| ( ( member_a @ SV311 @ carrier )
= $false )
| ( ( member_a @ SV255 @ carrier )
= $false )
| ( ( member_a @ SV346 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2908]) ).
thf(2943,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation ) )
= $true )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2909]) ).
thf(2944,plain,
! [SV320: set_Product_prod_a_a,SV370: a,SV353: a,SV264: set_a,SV373: a] :
( ( ( member_a @ SV373 @ SV264 )
= $false )
| ( ( member_a @ SV353 @ SV264 )
= $false )
| ( ( member_a @ SV370 @ SV264 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2914]) ).
thf(2945,plain,
! [SV265: a,SV321: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2915]) ).
thf(2946,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2916]) ).
thf(2947,plain,
! [SV265: a,SV321: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) ) )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2917]) ).
thf(2948,plain,
! [SV355: set_a,SV323: a,SV267: a] :
( ( ( SV267 = SV323 )
= $true )
| ( ( SV267 = SV323 )
= $false )
| ( ( member_a @ SV267 @ SV355 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2918]) ).
thf(2949,plain,
! [SV323: a,SV355: set_a,SV267: a] :
( ( ( member_a @ SV267 @ SV355 )
= $true )
| ( ( SV267 = SV323 )
= $false )
| ( ( member_a @ SV267 @ SV355 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2919]) ).
thf(2950,plain,
! [SV276: set_Product_prod_a_a,SV214: a] :
( ( ( SV214
= ( sK56_SY646 @ SV276 @ SV214 ) )
= $true )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2920]) ).
thf(2951,plain,
! [SV214: a,SV276: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK51_SY551 @ SV276 @ SV214 ) @ ( sK56_SY646 @ SV276 @ SV214 ) ) @ SV276 )
= $true )
| ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2921]) ).
thf(2952,plain,
! [SV375: a,SV380: a,SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ( member_a @ SV214 @ ( range_a_a @ SV276 ) ) )
= $false )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2922]) ).
thf(2953,plain,
! [SV375: a,SV380: a,SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) )
= $false )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2922]) ).
thf(2954,plain,
! [SV224: set_a,SV371: a,SV286: set_Product_prod_a_a,SV358: a,SV330: a] :
( ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2926]) ).
thf(2955,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV388: a,SV383: a] :
( ( ( ~ ( ( SV383 != SV388 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV383 @ SV388 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV388 @ SV383 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV388 @ SV294 )
= $false )
| ( ( member_a @ SV383 @ SV294 )
= $false )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2928]) ).
thf(2956,plain,
! [SV363: set_Product_prod_a_a,SV389: a,SV294: set_a,SV391: a] :
( ( ( ~ ( member_a @ SV391 @ SV294 )
| ~ ( ( SV389 != SV391 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV389 @ SV391 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV391 @ SV389 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV389 @ SV294 )
= $false )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2929]) ).
thf(2957,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV390: a] :
( ( ( ~ ( member_a @ SV390 @ SV294 ) )
= $true )
| ( ( ! [SY649: a] :
( ~ ( member_a @ SY649 @ SV294 )
| ~ ( ( SV390 != SY649 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV390 @ SY649 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY649 @ SV390 ) @ SV363 ) ) )
= $true )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2930]) ).
thf(2958,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( total_on_a @ SV294 @ SV363 )
= $true )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2931]) ).
thf(2959,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a] :
( ( ( ! [SY636: a] :
( ~ ( member_a @ SY636 @ SV294 )
| ! [SY637: a] :
( ~ ( member_a @ SY637 @ SV294 )
| ~ ( ( SY636 != SY637 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY636 @ SY637 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY637 @ SY636 ) @ SV363 ) ) ) )
= $true )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2932]) ).
thf(2960,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV392: a] :
( ( ( ~ ( member_a @ SV392 @ SV294 )
| ! [SY650: a] :
( ~ ( member_a @ SY650 @ SV294 )
| ~ ( ( SV392 != SY650 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV392 @ SY650 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY650 @ SV392 ) @ SV363 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2934]) ).
thf(2961,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV393: a] :
( ( ( ~ ( member_a @ SV393 @ SV294 )
| ! [SY651: a] :
( ~ ( member_a @ SY651 @ SV294 )
| ~ ( ( SV393 != SY651 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV393 @ SY651 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY651 @ SV393 ) @ SV363 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2936]) ).
thf(2962,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $false )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2938]) ).
thf(2963,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 != SV337 )
= $false )
| ( ( ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2939]) ).
thf(2964,plain,
! [SV337: a,SV233: a,SV364: set_a,SV295: set_a] :
( ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2939]) ).
thf(2965,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2940]) ).
thf(2966,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 ) )
= $true )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2941]) ).
thf(2967,plain,
! [SV348: a,SV313: a,SV257: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2943]) ).
thf(2968,plain,
! [SV264: set_a,SV373: a,SV320: set_Product_prod_a_a,SV370: a,SV353: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 ) )
= $true )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true )
| ( ( member_a @ SV370 @ SV264 )
= $false )
| ( ( member_a @ SV353 @ SV264 )
= $false )
| ( ( member_a @ SV373 @ SV264 )
= $false )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2944]) ).
thf(2969,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2946]) ).
thf(2970,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2946]) ).
thf(2971,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2947]) ).
thf(2972,plain,
! [SV375: a,SV380: a,SV276: set_Product_prod_a_a,SV214: a] :
( ( ( member_a @ SV214 @ ( range_a_a @ SV276 ) )
= $true )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2952]) ).
thf(2973,plain,
! [SV375: a,SV380: a,SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) )
= $true )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2953]) ).
thf(2974,plain,
! [SV224: set_a,SV371: a,SV286: set_Product_prod_a_a,SV358: a,SV330: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2954]) ).
thf(2975,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV388: a,SV383: a] :
( ( ( SV383 != SV388 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV383 @ SV388 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV388 @ SV383 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV388 @ SV294 )
= $false )
| ( ( member_a @ SV383 @ SV294 )
= $false )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2955]) ).
thf(2976,plain,
! [SV363: set_Product_prod_a_a,SV389: a,SV294: set_a,SV391: a] :
( ( ( ~ ( member_a @ SV391 @ SV294 ) )
= $true )
| ( ( ~ ( ( SV389 != SV391 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV389 @ SV391 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV391 @ SV389 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV389 @ SV294 )
= $false )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2956]) ).
thf(2977,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV390: a] :
( ( ( member_a @ SV390 @ SV294 )
= $false )
| ( ( ! [SY649: a] :
( ~ ( member_a @ SY649 @ SV294 )
| ~ ( ( SV390 != SY649 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV390 @ SY649 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY649 @ SV390 ) @ SV363 ) ) )
= $true )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2957]) ).
thf(2978,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV394: a] :
( ( ( ~ ( member_a @ SV394 @ SV294 )
| ! [SY652: a] :
( ~ ( member_a @ SY652 @ SV294 )
| ~ ( ( SV394 != SY652 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV394 @ SY652 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY652 @ SV394 ) @ SV363 ) ) )
= $true )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2959]) ).
thf(2979,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV392: a] :
( ( ( ~ ( member_a @ SV392 @ SV294 ) )
= $true )
| ( ( ! [SY650: a] :
( ~ ( member_a @ SY650 @ SV294 )
| ~ ( ( SV392 != SY650 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV392 @ SY650 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY650 @ SV392 ) @ SV363 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2960]) ).
thf(2980,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV393: a] :
( ( ( ~ ( member_a @ SV393 @ SV294 ) )
= $true )
| ( ( ! [SY651: a] :
( ~ ( member_a @ SY651 @ SV294 )
| ~ ( ( SV393 != SY651 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV393 @ SY651 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY651 @ SV393 ) @ SV363 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2961]) ).
thf(2981,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) ) )
= $false )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2962]) ).
thf(2982,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $false )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2962]) ).
thf(2983,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2963]) ).
thf(2984,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2964]) ).
thf(2985,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2965]) ).
thf(2986,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2965]) ).
thf(2987,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $true )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2966]) ).
thf(2988,plain,
! [SV348: a,SV257: a,SV313: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2967]) ).
thf(2989,plain,
! [SV264: set_a,SV373: a,SV320: set_Product_prod_a_a,SV370: a,SV353: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
= $false )
| ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 ) )
= $true )
| ( ( member_a @ SV370 @ SV264 )
= $false )
| ( ( member_a @ SV353 @ SV264 )
= $false )
| ( ( member_a @ SV373 @ SV264 )
= $false )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2968]) ).
thf(2990,plain,
! [SV321: a,SV265: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2969]) ).
thf(2991,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2970]) ).
thf(2992,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2971]) ).
thf(2993,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2971]) ).
thf(2994,plain,
! [SV375: a,SV380: a,SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ! [SY551: a] :
~ ~ ! [SY552: a] :
~ ~ ( ( SV214 != SY552 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SY551 @ SY552 ) @ SV276 ) ) )
= $false )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2973]) ).
thf(2995,plain,
! [SV224: set_a,SV371: a,SV286: set_Product_prod_a_a,SV358: a,SV330: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2974]) ).
thf(2996,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV388: a,SV383: a] :
( ( ( SV383 = SV388 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV383 @ SV388 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV388 @ SV383 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV388 @ SV294 )
= $false )
| ( ( member_a @ SV383 @ SV294 )
= $false )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2975]) ).
thf(2997,plain,
! [SV363: set_Product_prod_a_a,SV389: a,SV294: set_a,SV391: a] :
( ( ( member_a @ SV391 @ SV294 )
= $false )
| ( ( ~ ( ( SV389 != SV391 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV389 @ SV391 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV391 @ SV389 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV389 @ SV294 )
= $false )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2976]) ).
thf(2998,plain,
! [SV363: set_Product_prod_a_a,SV390: a,SV294: set_a,SV395: a] :
( ( ( ~ ( member_a @ SV395 @ SV294 )
| ~ ( ( SV390 != SV395 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV390 @ SV395 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV395 @ SV390 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV390 @ SV294 )
= $false )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2977]) ).
thf(2999,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV394: a] :
( ( ( ~ ( member_a @ SV394 @ SV294 ) )
= $true )
| ( ( ! [SY652: a] :
( ~ ( member_a @ SY652 @ SV294 )
| ~ ( ( SV394 != SY652 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV394 @ SY652 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY652 @ SV394 ) @ SV363 ) ) )
= $true )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2978]) ).
thf(3000,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV392: a] :
( ( ( member_a @ SV392 @ SV294 )
= $false )
| ( ( ! [SY650: a] :
( ~ ( member_a @ SY650 @ SV294 )
| ~ ( ( SV392 != SY650 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV392 @ SY650 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY650 @ SV392 ) @ SV363 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2979]) ).
thf(3001,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV393: a] :
( ( ( member_a @ SV393 @ SV294 )
= $false )
| ( ( ! [SY651: a] :
( ~ ( member_a @ SY651 @ SV294 )
| ~ ( ( SV393 != SY651 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV393 @ SY651 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY651 @ SV393 ) @ SV363 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2980]) ).
thf(3002,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2981]) ).
thf(3003,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2982]) ).
thf(3004,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2983]) ).
thf(3005,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2984]) ).
thf(3006,plain,
! [SV233: a,SV364: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2984]) ).
thf(3007,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2985]) ).
thf(3008,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2986]) ).
thf(3009,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2987]) ).
thf(3010,plain,
! [SV348: a,SV257: a,SV313: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2988]) ).
thf(3011,plain,
! [SV264: set_a,SV353: a,SV320: set_Product_prod_a_a,SV373: a,SV370: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
= $false )
| ( ( member_a @ SV370 @ SV264 )
= $false )
| ( ( member_a @ SV353 @ SV264 )
= $false )
| ( ( member_a @ SV373 @ SV264 )
= $false )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2989]) ).
thf(3012,plain,
! [SV265: a,SV321: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2991]) ).
thf(3013,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2992]) ).
thf(3014,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2993]) ).
thf(3015,plain,
! [SV276: set_Product_prod_a_a,SV380: a,SV375: a,SV214: a] :
( ( ( ~ ~ ! [SY653: a] :
~ ~ ( ( SV214 != SY653 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK58_SY551 @ SV375 @ SV380 @ SV276 @ SV214 ) @ SY653 ) @ SV276 ) ) )
= $false )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2994]) ).
thf(3016,plain,
! [SV224: set_a,SV371: a,SV286: set_Product_prod_a_a,SV358: a,SV330: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 ) )
= $true )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2995]) ).
thf(3017,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV388: a,SV383: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV383 @ SV388 ) @ SV363 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV388 @ SV383 ) @ SV363 )
= $true )
| ( ( SV383 = SV388 )
= $true )
| ( ( member_a @ SV388 @ SV294 )
= $false )
| ( ( member_a @ SV383 @ SV294 )
= $false )
| ( ( total_on_a @ SV294 @ SV363 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2996]) ).
thf(3018,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV391: a,SV389: a] :
( ( ( ~ ( ( SV389 != SV391 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV389 @ SV391 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV391 @ SV389 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV391 @ SV294 )
= $false )
| ( ( member_a @ SV389 @ SV294 )
= $false )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2997]) ).
thf(3019,plain,
! [SV363: set_Product_prod_a_a,SV390: a,SV294: set_a,SV395: a] :
( ( ( ~ ( member_a @ SV395 @ SV294 ) )
= $true )
| ( ( ~ ( ( SV390 != SV395 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV390 @ SV395 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV395 @ SV390 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV390 @ SV294 )
= $false )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2998]) ).
thf(3020,plain,
! [SV363: set_Product_prod_a_a,SV294: set_a,SV394: a] :
( ( ( member_a @ SV394 @ SV294 )
= $false )
| ( ( ! [SY652: a] :
( ~ ( member_a @ SY652 @ SV294 )
| ~ ( ( SV394 != SY652 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV394 @ SY652 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SY652 @ SV394 ) @ SV363 ) ) )
= $true )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2999]) ).
thf(3021,plain,
! [SV363: set_Product_prod_a_a,SV392: a,SV294: set_a,SV396: a] :
( ( ( ~ ( member_a @ SV396 @ SV294 )
| ~ ( ( SV392 != SV396 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV392 @ SV396 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV396 @ SV392 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV392 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3000]) ).
thf(3022,plain,
! [SV363: set_Product_prod_a_a,SV393: a,SV294: set_a,SV397: a] :
( ( ( ~ ( member_a @ SV397 @ SV294 )
| ~ ( ( SV393 != SV397 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV393 @ SV397 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV397 @ SV393 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV393 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3001]) ).
thf(3023,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 != SV337 )
= $true )
| ( ( SV295 = SV364 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3002]) ).
thf(3024,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) ) )
= $true )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3003]) ).
thf(3025,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3004]) ).
thf(3026,plain,
! [SV233: a,SV364: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3004]) ).
thf(3027,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 != SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3005]) ).
thf(3028,plain,
! [SV233: a,SV364: set_a,SV337: a,SV295: set_a] :
( ( ( ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3006]) ).
thf(3029,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3007]) ).
thf(3030,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3008]) ).
thf(3031,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( ~ ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) ) )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3009]) ).
thf(3032,plain,
! [SV313: a,SV348: a,SV257: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3010]) ).
thf(3033,plain,
! [SV264: set_a,SV353: a,SV320: set_Product_prod_a_a,SV373: a,SV370: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV370 @ SV373 ) @ SV320 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV373 ) @ SV320 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV353 @ SV370 ) @ SV320 )
= $false )
| ( ( member_a @ SV370 @ SV264 )
= $false )
| ( ( member_a @ SV353 @ SV264 )
= $false )
| ( ( member_a @ SV373 @ SV264 )
= $false )
| ( ( prefer719835986ence_a @ SV264 @ SV320 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3011]) ).
thf(3034,plain,
! [SV265: a,SV321: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3013]) ).
thf(3035,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3014]) ).
thf(3036,plain,
! [SV276: set_Product_prod_a_a,SV380: a,SV375: a,SV214: a] :
( ( ( ~ ! [SY653: a] :
~ ~ ( ( SV214 != SY653 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK58_SY551 @ SV375 @ SV380 @ SV276 @ SV214 ) @ SY653 ) @ SV276 ) ) )
= $true )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3015]) ).
thf(3037,plain,
! [SV224: set_a,SV371: a,SV286: set_Product_prod_a_a,SV358: a,SV330: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3016]) ).
thf(3038,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV391: a,SV389: a] :
( ( ( SV389 != SV391 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV389 @ SV391 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV391 @ SV389 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV391 @ SV294 )
= $false )
| ( ( member_a @ SV389 @ SV294 )
= $false )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3018]) ).
thf(3039,plain,
! [SV363: set_Product_prod_a_a,SV390: a,SV294: set_a,SV395: a] :
( ( ( member_a @ SV395 @ SV294 )
= $false )
| ( ( ~ ( ( SV390 != SV395 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV390 @ SV395 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV395 @ SV390 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV390 @ SV294 )
= $false )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3019]) ).
thf(3040,plain,
! [SV363: set_Product_prod_a_a,SV394: a,SV294: set_a,SV398: a] :
( ( ( ~ ( member_a @ SV398 @ SV294 )
| ~ ( ( SV394 != SV398 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV394 @ SV398 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV398 @ SV394 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV394 @ SV294 )
= $false )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3020]) ).
thf(3041,plain,
! [SV363: set_Product_prod_a_a,SV392: a,SV294: set_a,SV396: a] :
( ( ( ~ ( member_a @ SV396 @ SV294 ) )
= $true )
| ( ( ~ ( ( SV392 != SV396 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV392 @ SV396 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV396 @ SV392 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV392 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3021]) ).
thf(3042,plain,
! [SV363: set_Product_prod_a_a,SV393: a,SV294: set_a,SV397: a] :
( ( ( ~ ( member_a @ SV397 @ SV294 ) )
= $true )
| ( ( ~ ( ( SV393 != SV397 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV393 @ SV397 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV397 @ SV393 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV393 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3022]) ).
thf(3043,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 = SV337 )
= $false )
| ( ( SV295 = SV364 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3023]) ).
thf(3044,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 != SV337 )
= $false )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3024]) ).
thf(3045,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 != SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3025]) ).
thf(3046,plain,
! [SV233: a,SV364: set_a,SV337: a,SV295: set_a] :
( ( ( ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3026]) ).
thf(3047,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 = SV337 )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3027]) ).
thf(3048,plain,
! [SV233: a,SV364: set_a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV399 ) )
| ~ ~ ( member_a @ SV337 @ SV399 ) )
| ( SV364
!= ( insert_a @ SV233 @ SV399 ) ) )
| ~ ~ ( member_a @ SV233 @ SV399 ) ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3028]) ).
thf(3049,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3030]) ).
thf(3050,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3030]) ).
thf(3051,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
| ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3031]) ).
thf(3052,plain,
! [SV313: a,SV348: a,SV257: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3032]) ).
thf(3053,plain,
! [SV321: a,SV265: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3035]) ).
thf(3054,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3035]) ).
thf(3055,plain,
! [SV276: set_Product_prod_a_a,SV380: a,SV375: a,SV214: a] :
( ( ( ! [SY653: a] :
~ ~ ( ( SV214 != SY653 )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK58_SY551 @ SV375 @ SV380 @ SV276 @ SV214 ) @ SY653 ) @ SV276 ) ) )
= $false )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3036]) ).
thf(3056,plain,
! [SV224: set_a,SV371: a,SV286: set_Product_prod_a_a,SV330: a,SV358: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3037]) ).
thf(3057,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV391: a,SV389: a] :
( ( ( SV389 = SV391 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV389 @ SV391 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV391 @ SV389 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV391 @ SV294 )
= $false )
| ( ( member_a @ SV389 @ SV294 )
= $false )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3038]) ).
thf(3058,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV395: a,SV390: a] :
( ( ( ~ ( ( SV390 != SV395 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV390 @ SV395 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV395 @ SV390 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV395 @ SV294 )
= $false )
| ( ( member_a @ SV390 @ SV294 )
= $false )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3039]) ).
thf(3059,plain,
! [SV363: set_Product_prod_a_a,SV394: a,SV294: set_a,SV398: a] :
( ( ( ~ ( member_a @ SV398 @ SV294 ) )
= $true )
| ( ( ~ ( ( SV394 != SV398 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV394 @ SV398 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV398 @ SV394 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV394 @ SV294 )
= $false )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3040]) ).
thf(3060,plain,
! [SV363: set_Product_prod_a_a,SV392: a,SV294: set_a,SV396: a] :
( ( ( member_a @ SV396 @ SV294 )
= $false )
| ( ( ~ ( ( SV392 != SV396 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV392 @ SV396 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV396 @ SV392 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV392 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3041]) ).
thf(3061,plain,
! [SV363: set_Product_prod_a_a,SV393: a,SV294: set_a,SV397: a] :
( ( ( member_a @ SV397 @ SV294 )
= $false )
| ( ( ~ ( ( SV393 != SV397 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV393 @ SV397 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV397 @ SV393 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV393 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3042]) ).
thf(3062,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 = SV337 )
= $true )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3044]) ).
thf(3063,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 = SV337 )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3045]) ).
thf(3064,plain,
! [SV233: a,SV364: set_a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV400 ) )
| ~ ~ ( member_a @ SV337 @ SV400 ) )
| ( SV364
!= ( insert_a @ SV233 @ SV400 ) ) )
| ~ ~ ( member_a @ SV233 @ SV400 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3046]) ).
thf(3065,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3047]) ).
thf(3066,plain,
! [SV233: a,SV364: set_a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV399 ) )
| ~ ~ ( member_a @ SV337 @ SV399 ) )
| ( SV364
!= ( insert_a @ SV233 @ SV399 ) ) )
| ~ ~ ( member_a @ SV233 @ SV399 ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3048]) ).
thf(3067,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3049]) ).
thf(3068,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3050]) ).
thf(3069,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3051]) ).
thf(3070,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( ~ ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3051]) ).
thf(3071,plain,
! [SV313: a,SV348: a,SV257: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3052]) ).
thf(3072,plain,
! [SV313: a,SV257: a,SV348: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3052]) ).
thf(3073,plain,
! [SV321: a,SV265: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3053]) ).
thf(3074,plain,
! [SV265: a,SV321: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3054]) ).
thf(3075,plain,
! [SV375: a,SV380: a,SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ~ ( ( SV214
!= ( sK59_SY653 @ SV276 @ SV380 @ SV375 @ SV214 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK58_SY551 @ SV375 @ SV380 @ SV276 @ SV214 ) @ ( sK59_SY653 @ SV276 @ SV380 @ SV375 @ SV214 ) ) @ SV276 ) ) )
= $false )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3055]) ).
thf(3076,plain,
! [SV224: set_a,SV371: a,SV286: set_Product_prod_a_a,SV330: a,SV358: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
| ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3056]) ).
thf(3077,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV391: a,SV389: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV389 @ SV391 ) @ SV363 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV391 @ SV389 ) @ SV363 )
= $true )
| ( ( SV389 = SV391 )
= $true )
| ( ( member_a @ SV391 @ SV294 )
= $false )
| ( ( member_a @ SV389 @ SV294 )
= $false )
| ( ( member_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3057]) ).
thf(3078,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV395: a,SV390: a] :
( ( ( SV390 != SV395 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV390 @ SV395 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV395 @ SV390 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV395 @ SV294 )
= $false )
| ( ( member_a @ SV390 @ SV294 )
= $false )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3058]) ).
thf(3079,plain,
! [SV363: set_Product_prod_a_a,SV394: a,SV294: set_a,SV398: a] :
( ( ( member_a @ SV398 @ SV294 )
= $false )
| ( ( ~ ( ( SV394 != SV398 ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV394 @ SV398 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV398 @ SV394 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV394 @ SV294 )
= $false )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3059]) ).
thf(3080,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV396: a,SV392: a] :
( ( ( ~ ( ( SV392 != SV396 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV392 @ SV396 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV396 @ SV392 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV396 @ SV294 )
= $false )
| ( ( member_a @ SV392 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3060]) ).
thf(3081,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV397: a,SV393: a] :
( ( ( ~ ( ( SV393 != SV397 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV393 @ SV397 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV397 @ SV393 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV397 @ SV294 )
= $false )
| ( ( member_a @ SV393 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3061]) ).
thf(3082,plain,
! [SV233: a,SV364: set_a,SV337: a,SV295: set_a] :
( ( ( ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3062]) ).
thf(3083,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3063]) ).
thf(3084,plain,
! [SV233: a,SV364: set_a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV400 ) )
| ~ ~ ( member_a @ SV337 @ SV400 ) )
| ( SV364
!= ( insert_a @ SV233 @ SV400 ) ) )
| ~ ~ ( member_a @ SV233 @ SV400 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3064]) ).
thf(3085,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3065]) ).
thf(3086,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3065]) ).
thf(3087,plain,
! [SV233: a,SV364: set_a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV399 ) )
| ~ ~ ( member_a @ SV337 @ SV399 ) )
| ( SV364
!= ( insert_a @ SV233 @ SV399 ) ) )
| ~ ~ ( member_a @ SV233 @ SV399 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3066]) ).
thf(3088,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3068]) ).
thf(3089,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3069]) ).
thf(3090,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3070]) ).
thf(3091,plain,
! [SV313: a,SV348: a,SV257: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3071]) ).
thf(3092,plain,
! [SV313: a,SV257: a,SV348: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3072]) ).
thf(3093,plain,
! [SV265: a,SV321: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV265 @ SV321 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV321 @ SV265 ) @ relation )
= $true )
| ( ( member_a @ SV265 @ carrier )
= $false )
| ( ( member_a @ SV321 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3074]) ).
thf(3094,plain,
! [SV375: a,SV380: a,SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ~ ( ( SV214
!= ( sK59_SY653 @ SV276 @ SV380 @ SV375 @ SV214 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK58_SY551 @ SV375 @ SV380 @ SV276 @ SV214 ) @ ( sK59_SY653 @ SV276 @ SV380 @ SV375 @ SV214 ) ) @ SV276 ) ) )
= $true )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3075]) ).
thf(3095,plain,
! [SV224: set_a,SV358: a,SV286: set_Product_prod_a_a,SV371: a,SV330: a] :
( ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3076]) ).
thf(3096,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV395: a,SV390: a] :
( ( ( SV390 = SV395 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV390 @ SV395 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV395 @ SV390 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV395 @ SV294 )
= $false )
| ( ( member_a @ SV390 @ SV294 )
= $false )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3078]) ).
thf(3097,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV398: a,SV394: a] :
( ( ( ~ ( ( SV394 != SV398 ) ) )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV394 @ SV398 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV398 @ SV394 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV398 @ SV294 )
= $false )
| ( ( member_a @ SV394 @ SV294 )
= $false )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3079]) ).
thf(3098,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV396: a,SV392: a] :
( ( ( SV392 != SV396 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV392 @ SV396 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV396 @ SV392 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV396 @ SV294 )
= $false )
| ( ( member_a @ SV392 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3080]) ).
thf(3099,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV397: a,SV393: a] :
( ( ( SV393 != SV397 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV393 @ SV397 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV397 @ SV393 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV397 @ SV294 )
= $false )
| ( ( member_a @ SV393 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3081]) ).
thf(3100,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3082]) ).
thf(3101,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3083]) ).
thf(3102,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3083]) ).
thf(3103,plain,
! [SV233: a,SV364: set_a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV400 ) )
| ~ ~ ( member_a @ SV337 @ SV400 ) )
| ( SV364
!= ( insert_a @ SV233 @ SV400 ) ) )
| ~ ~ ( member_a @ SV233 @ SV400 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3084]) ).
thf(3104,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3085]) ).
thf(3105,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3086]) ).
thf(3106,plain,
! [SV233: a,SV364: set_a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV399 ) )
| ~ ~ ( member_a @ SV337 @ SV399 ) )
| ( SV364
!= ( insert_a @ SV233 @ SV399 ) ) ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV399 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3087]) ).
thf(3107,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3089]) ).
thf(3108,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3090]) ).
thf(3109,plain,
! [SV257: a,SV313: a,SV348: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3091]) ).
thf(3110,plain,
! [SV313: a,SV257: a,SV348: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3092]) ).
thf(3111,plain,
! [SV375: a,SV380: a,SV276: set_Product_prod_a_a,SV214: a] :
( ( ( ( SV214
!= ( sK59_SY653 @ SV276 @ SV380 @ SV375 @ SV214 ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK58_SY551 @ SV375 @ SV380 @ SV276 @ SV214 ) @ ( sK59_SY653 @ SV276 @ SV380 @ SV375 @ SV214 ) ) @ SV276 ) )
= $false )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3094]) ).
thf(3112,plain,
! [SV224: set_a,SV358: a,SV286: set_Product_prod_a_a,SV371: a,SV330: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3095]) ).
thf(3113,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV395: a,SV390: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV390 @ SV395 ) @ SV363 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV395 @ SV390 ) @ SV363 )
= $true )
| ( ( SV390 = SV395 )
= $true )
| ( ( member_a @ SV395 @ SV294 )
= $false )
| ( ( member_a @ SV390 @ SV294 )
= $false )
| ( ( member_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ SV294 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3096]) ).
thf(3114,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV398: a,SV394: a] :
( ( ( SV394 != SV398 )
= $false )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV394 @ SV398 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV398 @ SV394 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV398 @ SV294 )
= $false )
| ( ( member_a @ SV394 @ SV294 )
= $false )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3097]) ).
thf(3115,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV396: a,SV392: a] :
( ( ( SV392 = SV396 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV392 @ SV396 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV396 @ SV392 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV396 @ SV294 )
= $false )
| ( ( member_a @ SV392 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3098]) ).
thf(3116,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV397: a,SV393: a] :
( ( ( SV393 = SV397 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV393 @ SV397 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV397 @ SV393 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV397 @ SV294 )
= $false )
| ( ( member_a @ SV393 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3099]) ).
thf(3117,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3100]) ).
thf(3118,plain,
! [SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3101]) ).
thf(3119,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3102]) ).
thf(3120,plain,
! [SV233: a,SV364: set_a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV400 ) )
| ~ ~ ( member_a @ SV337 @ SV400 ) )
| ( SV364
!= ( insert_a @ SV233 @ SV400 ) ) ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV400 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3103]) ).
thf(3121,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3105]) ).
thf(3122,plain,
! [SV233: a,SV364: set_a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV399 ) )
| ~ ~ ( member_a @ SV337 @ SV399 ) )
| ( SV364
!= ( insert_a @ SV233 @ SV399 ) ) ) )
= $false )
| ( ( ~ ~ ( member_a @ SV233 @ SV399 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3106]) ).
thf(3123,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3108]) ).
thf(3124,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3108]) ).
thf(3125,plain,
! [SV257: a,SV313: a,SV348: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3109]) ).
thf(3126,plain,
! [SV257: a,SV348: a,SV313: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3109]) ).
thf(3127,plain,
! [SV257: a,SV313: a,SV348: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3110]) ).
thf(3128,plain,
! [SV375: a,SV380: a,SV276: set_Product_prod_a_a,SV214: a] :
( ( ( SV214
!= ( sK59_SY653 @ SV276 @ SV380 @ SV375 @ SV214 ) )
= $false )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3111]) ).
thf(3129,plain,
! [SV214: a,SV276: set_Product_prod_a_a,SV380: a,SV375: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK58_SY551 @ SV375 @ SV380 @ SV276 @ SV214 ) @ ( sK59_SY653 @ SV276 @ SV380 @ SV375 @ SV214 ) ) @ SV276 ) )
= $false )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3111]) ).
thf(3130,plain,
! [SV224: set_a,SV358: a,SV286: set_Product_prod_a_a,SV371: a,SV330: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3112]) ).
thf(3131,plain,
! [SV224: set_a,SV358: a,SV286: set_Product_prod_a_a,SV330: a,SV371: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3112]) ).
thf(3132,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV398: a,SV394: a] :
( ( ( SV394 = SV398 )
= $true )
| ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV394 @ SV398 ) @ SV363 )
| ( member449909584od_a_a @ ( product_Pair_a_a @ SV398 @ SV394 ) @ SV363 ) )
= $true )
| ( ( member_a @ SV398 @ SV294 )
= $false )
| ( ( member_a @ SV394 @ SV294 )
= $false )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3114]) ).
thf(3133,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV396: a,SV392: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV392 @ SV396 ) @ SV363 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV396 @ SV392 ) @ SV363 )
= $true )
| ( ( SV392 = SV396 )
= $true )
| ( ( member_a @ SV396 @ SV294 )
= $false )
| ( ( member_a @ SV392 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK49_SY636 @ SV363 @ SV294 ) @ ( sK52_SY645 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3115]) ).
thf(3134,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV397: a,SV393: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV393 @ SV397 ) @ SV363 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV397 @ SV393 ) @ SV363 )
= $true )
| ( ( SV393 = SV397 )
= $true )
| ( ( member_a @ SV397 @ SV294 )
= $false )
| ( ( member_a @ SV393 @ SV294 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK52_SY645 @ SV363 @ SV294 ) @ ( sK49_SY636 @ SV363 @ SV294 ) ) @ SV363 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3116]) ).
thf(3135,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3117]) ).
thf(3136,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3119]) ).
thf(3137,plain,
! [SV233: a,SV364: set_a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV400 ) )
| ~ ~ ( member_a @ SV337 @ SV400 ) )
| ( SV364
!= ( insert_a @ SV233 @ SV400 ) ) ) )
= $false )
| ( ( ~ ~ ( member_a @ SV233 @ SV400 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3120]) ).
thf(3138,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3121]) ).
thf(3139,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3121]) ).
thf(3140,plain,
! [SV233: a,SV364: set_a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV399 ) )
| ~ ~ ( member_a @ SV337 @ SV399 ) )
| ( SV364
!= ( insert_a @ SV233 @ SV399 ) ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV399 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3122]) ).
thf(3141,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV365: a,SV338: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3123]) ).
thf(3142,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3124]) ).
thf(3143,plain,
! [SV257: a,SV313: a,SV348: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3125]) ).
thf(3144,plain,
! [SV257: a,SV348: a,SV313: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3126]) ).
thf(3145,plain,
! [SV257: a,SV313: a,SV348: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3127]) ).
thf(3146,plain,
! [SV257: a,SV348: a,SV313: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3127]) ).
thf(3147,plain,
! [SV375: a,SV380: a,SV276: set_Product_prod_a_a,SV214: a] :
( ( ( SV214
= ( sK59_SY653 @ SV276 @ SV380 @ SV375 @ SV214 ) )
= $true )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3128]) ).
thf(3148,plain,
! [SV214: a,SV276: set_Product_prod_a_a,SV380: a,SV375: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ ( sK58_SY551 @ SV375 @ SV380 @ SV276 @ SV214 ) @ ( sK59_SY653 @ SV276 @ SV380 @ SV375 @ SV214 ) ) @ SV276 )
= $true )
| ( ( SV214 = SV380 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV375 @ SV380 ) @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3129]) ).
thf(3149,plain,
! [SV224: set_a,SV358: a,SV286: set_Product_prod_a_a,SV371: a,SV330: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3130]) ).
thf(3150,plain,
! [SV224: set_a,SV358: a,SV286: set_Product_prod_a_a,SV330: a,SV371: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 ) )
= $true )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3131]) ).
thf(3151,plain,
! [SV294: set_a,SV363: set_Product_prod_a_a,SV398: a,SV394: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV394 @ SV398 ) @ SV363 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV398 @ SV394 ) @ SV363 )
= $true )
| ( ( SV394 = SV398 )
= $true )
| ( ( member_a @ SV398 @ SV294 )
= $false )
| ( ( member_a @ SV394 @ SV294 )
= $false )
| ( ( ( sK49_SY636 @ SV363 @ SV294 )
= ( sK52_SY645 @ SV363 @ SV294 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3132]) ).
thf(3152,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3135]) ).
thf(3153,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV233: a] :
( ( ( ~ ~ ( member_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3135]) ).
thf(3154,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3136]) ).
thf(3155,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3136]) ).
thf(3156,plain,
! [SV233: a,SV364: set_a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV400 ) )
| ~ ~ ( member_a @ SV337 @ SV400 ) )
| ( SV364
!= ( insert_a @ SV233 @ SV400 ) ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV400 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3137]) ).
thf(3157,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3138]) ).
thf(3158,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3139]) ).
thf(3159,plain,
! [SV233: a,SV364: set_a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV399 ) )
| ~ ~ ( member_a @ SV337 @ SV399 ) ) )
= $true )
| ( ( SV364
!= ( insert_a @ SV233 @ SV399 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV399 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3140]) ).
thf(3160,plain,
! [SV236: set_a,SV297: set_Product_prod_a_a,SV338: a,SV365: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV338 @ SV365 ) @ SV297 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV365 @ SV338 ) @ SV297 )
= $true )
| ( ( member_a @ SV338 @ SV236 )
= $false )
| ( ( member_a @ SV365 @ SV236 )
= $false )
| ( ( prefer719835986ence_a @ SV236 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3142]) ).
thf(3161,plain,
! [SV257: a,SV348: a,SV313: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV348 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3144]) ).
thf(3162,plain,
! [SV257: a,SV313: a,SV348: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV313 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3145]) ).
thf(3163,plain,
! [SV257: a,SV348: a,SV313: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3146]) ).
thf(3164,plain,
! [SV224: set_a,SV330: a,SV286: set_Product_prod_a_a,SV358: a,SV371: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3149]) ).
thf(3165,plain,
! [SV224: set_a,SV358: a,SV286: set_Product_prod_a_a,SV330: a,SV371: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 )
= $false )
| ( ( ~ ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3150]) ).
thf(3166,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3152]) ).
thf(3167,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV233: a] :
( ( ( ~ ( member_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3153]) ).
thf(3168,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3154]) ).
thf(3169,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3155]) ).
thf(3170,plain,
! [SV233: a,SV364: set_a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SV400 ) )
| ~ ~ ( member_a @ SV337 @ SV400 ) ) )
= $true )
| ( ( SV364
!= ( insert_a @ SV233 @ SV400 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV400 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3156]) ).
thf(3171,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 != SV337 )
= $true )
| ( ( SV295 = SV364 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3157]) ).
thf(3172,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) ) )
= $true )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3158]) ).
thf(3173,plain,
! [SV233: a,SV364: set_a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ( ( SV295
!= ( insert_a @ SV337 @ SV399 ) )
| ~ ~ ( member_a @ SV337 @ SV399 ) ) )
= $false )
| ( ( SV364
!= ( insert_a @ SV233 @ SV399 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV399 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3159]) ).
thf(3174,plain,
! [SV257: a,SV348: a,SV313: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV348 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV348 @ SV257 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV257 @ SV313 ) @ relation )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV313 @ SV257 ) @ relation )
= $true )
| ( ( member_a @ SV313 @ carrier )
= $false )
| ( ( member_a @ SV257 @ carrier )
= $false )
| ( ( member_a @ SV348 @ carrier )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3163]) ).
thf(3175,plain,
! [SV224: set_a,SV330: a,SV286: set_Product_prod_a_a,SV358: a,SV371: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3164]) ).
thf(3176,plain,
! [SV224: set_a,SV330: a,SV286: set_Product_prod_a_a,SV371: a,SV358: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3164]) ).
thf(3177,plain,
! [SV224: set_a,SV330: a,SV286: set_Product_prod_a_a,SV358: a,SV371: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
| ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3165]) ).
thf(3178,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3166]) ).
thf(3179,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV233: a] :
( ( ( member_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3167]) ).
thf(3180,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 != SV337 )
= $true )
| ( ( SV295 = SV364 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3168]) ).
thf(3181,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) ) )
= $true )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3169]) ).
thf(3182,plain,
! [SV233: a,SV364: set_a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ( ( SV295
!= ( insert_a @ SV337 @ SV400 ) )
| ~ ~ ( member_a @ SV337 @ SV400 ) ) )
= $false )
| ( ( SV364
!= ( insert_a @ SV233 @ SV400 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV400 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3170]) ).
thf(3183,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 = SV337 )
= $false )
| ( ( SV295 = SV364 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3171]) ).
thf(3184,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 != SV337 )
= $false )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3172]) ).
thf(3185,plain,
! [SV233: a,SV364: set_a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ( SV295
!= ( insert_a @ SV337 @ SV399 ) )
| ~ ~ ( member_a @ SV337 @ SV399 ) )
= $true )
| ( ( SV364
!= ( insert_a @ SV233 @ SV399 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV399 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3173]) ).
thf(3186,plain,
! [SV224: set_a,SV330: a,SV286: set_Product_prod_a_a,SV358: a,SV371: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3175]) ).
thf(3187,plain,
! [SV224: set_a,SV330: a,SV286: set_Product_prod_a_a,SV371: a,SV358: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3176]) ).
thf(3188,plain,
! [SV224: set_a,SV330: a,SV286: set_Product_prod_a_a,SV358: a,SV371: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3177]) ).
thf(3189,plain,
! [SV224: set_a,SV330: a,SV286: set_Product_prod_a_a,SV371: a,SV358: a] :
( ( ( ~ ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3177]) ).
thf(3190,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3178]) ).
thf(3191,plain,
! [SV295: set_a,SV337: a,SV233: a,SV364: set_a] :
( ( ( SV364
!= ( insert_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3178]) ).
thf(3192,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 = SV337 )
= $false )
| ( ( SV295 = SV364 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3180]) ).
thf(3193,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 != SV337 )
= $false )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3181]) ).
thf(3194,plain,
! [SV233: a,SV364: set_a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ( SV295
!= ( insert_a @ SV337 @ SV400 ) )
| ~ ~ ( member_a @ SV337 @ SV400 ) )
= $true )
| ( ( SV364
!= ( insert_a @ SV233 @ SV400 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV400 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3182]) ).
thf(3195,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 = SV337 )
= $true )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3184]) ).
thf(3196,plain,
! [SV233: a,SV364: set_a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( SV295
!= ( insert_a @ SV337 @ SV399 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV337 @ SV399 ) )
= $true )
| ( ( SV364
!= ( insert_a @ SV233 @ SV399 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV399 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3185]) ).
thf(3197,plain,
! [SV224: set_a,SV330: a,SV286: set_Product_prod_a_a,SV371: a,SV358: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV371 ) @ SV286 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3187]) ).
thf(3198,plain,
! [SV224: set_a,SV330: a,SV286: set_Product_prod_a_a,SV358: a,SV371: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV358 ) @ SV286 )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3188]) ).
thf(3199,plain,
! [SV224: set_a,SV330: a,SV286: set_Product_prod_a_a,SV371: a,SV358: a] :
( ( ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 ) )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3189]) ).
thf(3200,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3190]) ).
thf(3201,plain,
! [SV295: set_a,SV337: a,SV233: a,SV364: set_a] :
( ( ( SV364
= ( insert_a @ SV233 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3191]) ).
thf(3202,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 = SV337 )
= $true )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3193]) ).
thf(3203,plain,
! [SV233: a,SV364: set_a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( SV295
!= ( insert_a @ SV337 @ SV400 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV337 @ SV400 ) )
= $true )
| ( ( SV364
!= ( insert_a @ SV233 @ SV400 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV400 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3194]) ).
thf(3204,plain,
! [SV233: a,SV364: set_a,SV337: a,SV295: set_a] :
( ( ( ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3195]) ).
thf(3205,plain,
! [SV233: a,SV364: set_a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( ~ ~ ( member_a @ SV337 @ SV399 ) )
= $true )
| ( ( SV364
!= ( insert_a @ SV233 @ SV399 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV399 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3196]) ).
thf(3206,plain,
! [SV224: set_a,SV330: a,SV286: set_Product_prod_a_a,SV371: a,SV358: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV371 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV371 @ SV330 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV330 @ SV358 ) @ SV286 )
= $false )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ SV358 @ SV330 ) @ SV286 )
= $true )
| ( ( member_a @ SV358 @ SV224 )
= $false )
| ( ( member_a @ SV330 @ SV224 )
= $false )
| ( ( member_a @ SV371 @ SV224 )
= $false )
| ( ( prefer719835986ence_a @ SV224 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3199]) ).
thf(3207,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ( SV295
!= ( insert_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3200]) ).
thf(3208,plain,
! [SV233: a,SV364: set_a,SV337: a,SV295: set_a] :
( ( ( ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3202]) ).
thf(3209,plain,
! [SV233: a,SV364: set_a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( ~ ~ ( member_a @ SV337 @ SV400 ) )
= $true )
| ( ( SV364
!= ( insert_a @ SV233 @ SV400 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV400 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3203]) ).
thf(3210,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3204]) ).
thf(3211,plain,
! [SV233: a,SV364: set_a,SV295: set_a,SV399: set_a,SV337: a] :
( ( ( ~ ( member_a @ SV337 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( SV364
!= ( insert_a @ SV233 @ SV399 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV399 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3205]) ).
thf(3212,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( SV295
!= ( insert_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3207]) ).
thf(3213,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV337: a] :
( ( ( ~ ~ ( member_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3207]) ).
thf(3214,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3208]) ).
thf(3215,plain,
! [SV233: a,SV364: set_a,SV295: set_a,SV400: set_a,SV337: a] :
( ( ( ~ ( member_a @ SV337 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( SV364
!= ( insert_a @ SV233 @ SV400 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV400 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3209]) ).
thf(3216,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3210]) ).
thf(3217,plain,
! [SV233: a,SV364: set_a,SV295: set_a,SV399: set_a,SV337: a] :
( ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( SV364
!= ( insert_a @ SV233 @ SV399 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV399 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3211]) ).
thf(3218,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( SV295
= ( insert_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3212]) ).
thf(3219,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV337: a] :
( ( ( ~ ( member_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3213]) ).
thf(3220,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3214]) ).
thf(3221,plain,
! [SV233: a,SV364: set_a,SV295: set_a,SV400: set_a,SV337: a] :
( ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( SV364
!= ( insert_a @ SV233 @ SV400 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV400 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3215]) ).
thf(3222,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3216]) ).
thf(3223,plain,
! [SV337: a,SV295: set_a,SV399: set_a,SV233: a,SV364: set_a] :
( ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV399 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3217]) ).
thf(3224,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV337: a] :
( ( ( member_a @ SV337 @ ( sK60_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3219]) ).
thf(3225,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3220]) ).
thf(3226,plain,
! [SV337: a,SV295: set_a,SV400: set_a,SV233: a,SV364: set_a] :
( ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( ~ ~ ( member_a @ SV233 @ SV400 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3221]) ).
thf(3227,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3222]) ).
thf(3228,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV233: a] :
( ( ( ~ ~ ( member_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3222]) ).
thf(3229,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV399: set_a,SV233: a] :
( ( ( ~ ( member_a @ SV233 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3223]) ).
thf(3230,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3225]) ).
thf(3231,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV233: a] :
( ( ( ~ ~ ( member_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3225]) ).
thf(3232,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV400: set_a,SV233: a] :
( ( ( ~ ( member_a @ SV233 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3226]) ).
thf(3233,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3227]) ).
thf(3234,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV233: a] :
( ( ( ~ ( member_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3228]) ).
thf(3235,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV399: set_a,SV233: a] :
( ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3229]) ).
thf(3236,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3230]) ).
thf(3237,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV233: a] :
( ( ( ~ ( member_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3231]) ).
thf(3238,plain,
! [SV364: set_a,SV295: set_a,SV337: a,SV400: set_a,SV233: a] :
( ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( ~ ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) ) )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3232]) ).
thf(3239,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3233]) ).
thf(3240,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV233: a] :
( ( ( member_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3234]) ).
thf(3241,plain,
! [SV399: set_a,SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3235]) ).
thf(3242,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3236]) ).
thf(3243,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV233: a] :
( ( ( member_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3237]) ).
thf(3244,plain,
! [SV400: set_a,SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
| ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3238]) ).
thf(3245,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3239]) ).
thf(3246,plain,
! [SV295: set_a,SV337: a,SV233: a,SV364: set_a] :
( ( ( SV364
!= ( insert_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3239]) ).
thf(3247,plain,
! [SV399: set_a,SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3241]) ).
thf(3248,plain,
! [SV399: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3241]) ).
thf(3249,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3242]) ).
thf(3250,plain,
! [SV295: set_a,SV337: a,SV233: a,SV364: set_a] :
( ( ( SV364
!= ( insert_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3242]) ).
thf(3251,plain,
! [SV400: set_a,SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( insert_a @ SV233 @ SV295 )
!= ( insert_a @ SV337 @ SV364 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3244]) ).
thf(3252,plain,
! [SV400: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3244]) ).
thf(3253,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3245]) ).
thf(3254,plain,
! [SV295: set_a,SV337: a,SV233: a,SV364: set_a] :
( ( ( SV364
= ( insert_a @ SV233 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3246]) ).
thf(3255,plain,
! [SV399: set_a,SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3247]) ).
thf(3256,plain,
! [SV399: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3248]) ).
thf(3257,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3249]) ).
thf(3258,plain,
! [SV295: set_a,SV337: a,SV233: a,SV364: set_a] :
( ( ( SV364
= ( insert_a @ SV233 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3250]) ).
thf(3259,plain,
! [SV400: set_a,SV364: set_a,SV337: a,SV295: set_a,SV233: a] :
( ( ( ( insert_a @ SV233 @ SV295 )
= ( insert_a @ SV337 @ SV364 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3251]) ).
thf(3260,plain,
! [SV400: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3252]) ).
thf(3261,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ( SV295
!= ( insert_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3253]) ).
thf(3262,plain,
! [SV399: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3256]) ).
thf(3263,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( ( SV295
!= ( insert_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3257]) ).
thf(3264,plain,
! [SV400: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
| ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3260]) ).
thf(3265,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( SV295
!= ( insert_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3261]) ).
thf(3266,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV337: a] :
( ( ( ~ ~ ( member_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3261]) ).
thf(3267,plain,
! [SV399: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3262]) ).
thf(3268,plain,
! [SV399: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $false )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3262]) ).
thf(3269,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( SV295
!= ( insert_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3263]) ).
thf(3270,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV337: a] :
( ( ( ~ ~ ( member_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3263]) ).
thf(3271,plain,
! [SV400: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 )
| ( SV295 = SV364 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3264]) ).
thf(3272,plain,
! [SV400: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3264]) ).
thf(3273,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( SV295
= ( insert_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3265]) ).
thf(3274,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV337: a] :
( ( ( ~ ( member_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3266]) ).
thf(3275,plain,
! [SV399: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3267]) ).
thf(3276,plain,
! [SV399: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3268]) ).
thf(3277,plain,
! [SV364: set_a,SV233: a,SV337: a,SV295: set_a] :
( ( ( SV295
= ( insert_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3269]) ).
thf(3278,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV337: a] :
( ( ( ~ ( member_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3270]) ).
thf(3279,plain,
! [SV400: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ( SV233 != SV337 )
| ( SV295 = SV364 ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3271]) ).
thf(3280,plain,
! [SV400: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) )
| ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3272]) ).
thf(3281,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV337: a] :
( ( ( member_a @ SV337 @ ( sK61_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3274]) ).
thf(3282,plain,
! [SV399: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 != SV337 )
= $true )
| ( ( SV295 = SV364 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3275]) ).
thf(3283,plain,
! [SV399: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) ) )
= $true )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3276]) ).
thf(3284,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV337: a] :
( ( ( member_a @ SV337 @ ( sK62_SY638 @ SV233 @ SV364 @ SV337 @ SV295 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $false )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3278]) ).
thf(3285,plain,
! [SV400: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 != SV337 )
= $true )
| ( ( SV295 = SV364 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3279]) ).
thf(3286,plain,
! [SV400: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( ~ ( ( SV233 != SV337 ) ) )
= $true )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3280]) ).
thf(3287,plain,
! [SV399: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 = SV337 )
= $false )
| ( ( SV295 = SV364 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3282]) ).
thf(3288,plain,
! [SV399: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 != SV337 )
= $false )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3283]) ).
thf(3289,plain,
! [SV400: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 = SV337 )
= $false )
| ( ( SV295 = SV364 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3285]) ).
thf(3290,plain,
! [SV400: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 != SV337 )
= $false )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3286]) ).
thf(3291,plain,
! [SV399: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 = SV337 )
= $true )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3288]) ).
thf(3292,plain,
! [SV400: set_a,SV364: set_a,SV295: set_a,SV337: a,SV233: a] :
( ( ( SV233 = SV337 )
= $true )
| ( ( ~ ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3290]) ).
thf(3293,plain,
! [SV399: set_a,SV233: a,SV364: set_a,SV337: a,SV295: set_a] :
( ( ( ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3291]) ).
thf(3294,plain,
! [SV400: set_a,SV233: a,SV364: set_a,SV337: a,SV295: set_a] :
( ( ( ! [SY638: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ SY638 ) )
| ~ ~ ( member_a @ SV337 @ SY638 ) )
| ( SV364
!= ( insert_a @ SV233 @ SY638 ) ) )
| ~ ~ ( member_a @ SV233 @ SY638 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3292]) ).
thf(3295,plain,
! [SV364: set_a,SV233: a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3293]) ).
thf(3296,plain,
! [SV364: set_a,SV233: a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3294]) ).
thf(3297,plain,
! [SV364: set_a,SV233: a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3295]) ).
thf(3298,plain,
! [SV364: set_a,SV233: a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3296]) ).
thf(3299,plain,
! [SV364: set_a,SV233: a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3297]) ).
thf(3300,plain,
! [SV364: set_a,SV233: a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
| ~ ~ ( member_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3298]) ).
thf(3301,plain,
! [SV364: set_a,SV233: a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3299]) ).
thf(3302,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV399: set_a,SV233: a] :
( ( ( ~ ~ ( member_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3299]) ).
thf(3303,plain,
! [SV364: set_a,SV233: a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3300]) ).
thf(3304,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV400: set_a,SV233: a] :
( ( ( ~ ~ ( member_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3300]) ).
thf(3305,plain,
! [SV364: set_a,SV233: a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3301]) ).
thf(3306,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV399: set_a,SV233: a] :
( ( ( ~ ( member_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3302]) ).
thf(3307,plain,
! [SV364: set_a,SV233: a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3303]) ).
thf(3308,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV400: set_a,SV233: a] :
( ( ( ~ ( member_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3304]) ).
thf(3309,plain,
! [SV364: set_a,SV233: a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3305]) ).
thf(3310,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV399: set_a,SV233: a] :
( ( ( member_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3306]) ).
thf(3311,plain,
! [SV364: set_a,SV233: a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ( SV364
!= ( insert_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3307]) ).
thf(3312,plain,
! [SV295: set_a,SV337: a,SV364: set_a,SV400: set_a,SV233: a] :
( ( ( member_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3308]) ).
thf(3313,plain,
! [SV364: set_a,SV233: a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3309]) ).
thf(3314,plain,
! [SV295: set_a,SV337: a,SV399: set_a,SV233: a,SV364: set_a] :
( ( ( SV364
!= ( insert_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3309]) ).
thf(3315,plain,
! [SV364: set_a,SV233: a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3311]) ).
thf(3316,plain,
! [SV295: set_a,SV337: a,SV400: set_a,SV233: a,SV364: set_a] :
( ( ( SV364
!= ( insert_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3311]) ).
thf(3317,plain,
! [SV364: set_a,SV233: a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3313]) ).
thf(3318,plain,
! [SV295: set_a,SV337: a,SV399: set_a,SV233: a,SV364: set_a] :
( ( ( SV364
= ( insert_a @ SV233 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3314]) ).
thf(3319,plain,
! [SV364: set_a,SV233: a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ~ ( ( SV295
!= ( insert_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3315]) ).
thf(3320,plain,
! [SV295: set_a,SV337: a,SV400: set_a,SV233: a,SV364: set_a] :
( ( ( SV364
= ( insert_a @ SV233 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3316]) ).
thf(3321,plain,
! [SV364: set_a,SV233: a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( ( SV295
!= ( insert_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3317]) ).
thf(3322,plain,
! [SV364: set_a,SV233: a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( ( SV295
!= ( insert_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
| ~ ~ ( member_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3319]) ).
thf(3323,plain,
! [SV364: set_a,SV233: a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( SV295
!= ( insert_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3321]) ).
thf(3324,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV399: set_a,SV337: a] :
( ( ( ~ ~ ( member_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3321]) ).
thf(3325,plain,
! [SV364: set_a,SV233: a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( SV295
!= ( insert_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3322]) ).
thf(3326,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV400: set_a,SV337: a] :
( ( ( ~ ~ ( member_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3322]) ).
thf(3327,plain,
! [SV364: set_a,SV233: a,SV399: set_a,SV337: a,SV295: set_a] :
( ( ( SV295
= ( insert_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3323]) ).
thf(3328,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV399: set_a,SV337: a] :
( ( ( ~ ( member_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3324]) ).
thf(3329,plain,
! [SV364: set_a,SV233: a,SV400: set_a,SV337: a,SV295: set_a] :
( ( ( SV295
= ( insert_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3325]) ).
thf(3330,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV400: set_a,SV337: a] :
( ( ( ~ ( member_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) ) )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3326]) ).
thf(3331,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV399: set_a,SV337: a] :
( ( ( member_a @ SV337 @ ( sK63_SY638 @ SV399 @ SV233 @ SV364 @ SV337 @ SV295 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV295 = SV364 )
= $false )
| ( ( SV364
= ( insert_a @ SV233 @ SV399 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV399 ) )
= $false )
| ( ( member_a @ SV337 @ SV399 )
= $true )
| ( ( member_a @ SV233 @ SV399 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3328]) ).
thf(3332,plain,
! [SV295: set_a,SV364: set_a,SV233: a,SV400: set_a,SV337: a] :
( ( ( member_a @ SV337 @ ( sK64_SY638 @ SV400 @ SV233 @ SV364 @ SV337 @ SV295 ) )
= $false )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV233 = SV337 )
= $true )
| ( ( SV364
= ( insert_a @ SV233 @ SV400 ) )
= $false )
| ( ( SV295
= ( insert_a @ SV337 @ SV400 ) )
= $false )
| ( ( member_a @ SV337 @ SV400 )
= $true )
| ( ( member_a @ SV233 @ SV400 )
= $true )
| ( ( member_a @ SV337 @ SV364 )
= $true )
| ( ( member_a @ SV233 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3330]) ).
thf(3333,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1886,3332,3331,3329,3327,3320,3318,3312,3310,3289,3287,3284,3281,3277,3273,3259,3258,3255,3254,3243,3240,3224,3218,3206,3201,3198,3197,3192,3186,3183,3179,3174,3162,3161,3160,3151,3148,3147,3143,3141,3134,3133,3118,3113,3107,3104,3093,3088,3077,3073,3067,3043,3034,3033,3029,3017,3012,2990,2972,2958,2951,2950,2949,2948,2945,2942,2937,2935,2933,2927,2925,2924,2923,2913,2912,2911,2910,2896,2893,2888,2873,2853,2844,2835,2833,2830,2829,2826,2823,2822,2817,2816,2806,2805,2804,2803,2802,2791,2784,2783,2781,2765,2764,2763,2762,2735,2734,2733,2728,2726,2723,2719,2718,2714,2711,2709,2704,2699,2697,2691,2688,2686,2684,2683,2679,2675,2674,2669,2667,2662,2658,2653,2640,2639,2635,2627,2626,2620,2619,2618,2613,2600,2581,2573,2569,2568,2567,2566,2565,2560,2559,2558,2557,2553,2552,2551,2550,2544,2541,2529,2528,2519,2515,2512,2509,2508,2488,2479,2470,2464,2460,2457,2456,2454,2451,2447,2445,2441,2432,2394,2387,2381,2367,2346,2331,2324,2322,2317,2314,2311,2306,2304,2293,2273,2267,2260,2246,2244,2234,2215,2193,2185,2183,2182,2174,2170,2167,2165,2162,2159,2158,2139,2097,2093,2092,2090,2052,2044,2034,2028,2024,2022,2016,1890,1889,1888,1887]) ).
thf(3334,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3333,1884]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP153^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.18 % Computer : n007.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Tue Oct 6 11:16:45 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 63.49/13.16 ..
% 63.49/13.16
% 63.49/13.16 No.of.Axioms: 73
% 63.49/13.16
% 63.49/13.16 Length.of.Defs: 0
% 63.49/13.16
% 63.49/13.16 Contains.Choice.Funs: true
% 63.49/13.16 .............................................................................................................
% 63.49/13.16
% 63.49/13.16 ********************************
% 63.49/13.16 * All subproblems solved! *
% 63.49/13.16 ********************************
% 63.49/13.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:73,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3333,loop_count:0,foatp_calls:1,translation:fof_full)
% 63.49/13.16
% 63.49/13.16 %**** Beginning of derivation protocol ****
% 63.49/13.16 % SZS output start CNFRefutation
% See solution above
% 63.49/13.20
% 63.49/13.20 %**** End of derivation protocol ****
% 63.49/13.20 %**** no. of clauses in derivation: 3052 ****
% 63.49/13.20 %**** clause counter: 3333 ****
% 63.49/13.20
% 63.49/13.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:73,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3333,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------