TSTP Solution File: ITP124^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : ITP124^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 23:44:42 EDT 2022
% Result : Theorem 92.64s 92.81s
% Output : CNFRefutation 96.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 399
% Syntax : Number of formulae : 3964 (1263 unt; 128 typ; 0 def)
% Number of atoms : 27802 (10799 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 47101 (8221 ~;7800 |; 138 &;30657 @)
% ( 0 <=>; 285 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 1399 (1399 >; 0 *; 0 +; 0 <<)
% Number of symbols : 128 ( 125 usr; 7 con; 0-5 aty)
% Number of variables : 10036 ( 141 ^9878 !; 17 ?;10036 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_set_a,type,
set_a: $tType ).
thf(tp_set_set_a,type,
set_set_a: $tType ).
thf(tp_a2,type,
a2: a ).
thf(tp_abel_semigroup_a,type,
abel_semigroup_a: ( a > a > a ) > $o ).
thf(tp_antimono_a_set_a,type,
antimono_a_set_a: ( a > a > $o ) > ( a > set_a ) > $o ).
thf(tp_b,type,
b: a ).
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_c,type,
c: a ).
thf(tp_collect_a,type,
collect_a: ( a > $o ) > set_a ).
thf(tp_collect_set_a,type,
collect_set_a: ( set_a > $o ) > set_set_a ).
thf(tp_condit1001553558elow_a,type,
condit1001553558elow_a: ( a > a > $o ) > set_a > $o ).
thf(tp_condit1627435690bove_a,type,
condit1627435690bove_a: ( a > a > $o ) > set_a > $o ).
thf(tp_finite40241356em_a_a,type,
finite40241356em_a_a: ( a > a > a ) > $o ).
thf(tp_finite_finite_a,type,
finite_finite_a: set_a > $o ).
thf(tp_finite_finite_set_a,type,
finite_finite_set_a: set_set_a > $o ).
thf(tp_greatest_a,type,
greatest_a: ( a > a > $o ) > ( a > $o ) > a ).
thf(tp_inf,type,
inf: a > a > a ).
thf(tp_insert_a,type,
insert_a: a > set_a > set_a ).
thf(tp_insert_set_a,type,
insert_set_a: set_a > set_set_a > set_set_a ).
thf(tp_lattic1781219155_fin_a,type,
lattic1781219155_fin_a: ( a > a > a ) > set_a > a ).
thf(tp_lattic1885654924_set_a,type,
lattic1885654924_set_a: ( a > a > a ) > $o ).
thf(tp_lattic247676691_fin_a,type,
lattic247676691_fin_a: ( a > a > a ) > set_a > a ).
thf(tp_least_a,type,
least_a: ( a > a > $o ) > ( a > $o ) > a ).
thf(tp_less_eq,type,
less_eq: a > a > $o ).
thf(tp_max_a,type,
max_a: ( a > a > $o ) > a > a > a ).
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_min_a,type,
min_a: ( a > a > $o ) > a > a > a ).
thf(tp_modula1144073633_aux_a,type,
modula1144073633_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).
thf(tp_modula1936294176_aux_a,type,
modula1936294176_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).
thf(tp_mono_a_set_a,type,
mono_a_set_a: ( a > a > $o ) > ( a > set_a ) > $o ).
thf(tp_ord_le318720350_set_a,type,
ord_le318720350_set_a: set_set_a > set_set_a > $o ).
thf(tp_ord_less_eq_set_a,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(tp_sK10_X2,type,
sK10_X2: set_set_a > set_set_a > set_a ).
thf(tp_sK11_A4,type,
sK11_A4: a > set_a > a ).
thf(tp_sK12_A4,type,
sK12_A4: a > set_a > a ).
thf(tp_sK13_X2,type,
sK13_X2: set_a > a ).
thf(tp_sK14_X2,type,
sK14_X2: set_a > a ).
thf(tp_sK15_X2,type,
sK15_X2: ( a > set_a ) > a ).
thf(tp_sK16_SY727,type,
sK16_SY727: ( a > set_a ) > a ).
thf(tp_sK17_X2,type,
sK17_X2: ( a > set_a ) > a ).
thf(tp_sK18_SY728,type,
sK18_SY728: ( a > set_a ) > a ).
thf(tp_sK19_X2,type,
sK19_X2: a > set_a > a ).
thf(tp_sK1_X2,type,
sK1_X2: set_a > set_set_a > set_a ).
thf(tp_sK20_X2,type,
sK20_X2: a > set_a > a ).
thf(tp_sK21_A4,type,
sK21_A4: ( a > a > a ) > a ).
thf(tp_sK22_SY731,type,
sK22_SY731: ( a > a > a ) > a ).
thf(tp_sK23_SY733,type,
sK23_SY733: ( a > a > a ) > a ).
thf(tp_sK24_X2,type,
sK24_X2: a > set_a > a ).
thf(tp_sK25_X2,type,
sK25_X2: a > set_a > a ).
thf(tp_sK26_Y2,type,
sK26_Y2: a > ( a > $o ) > a ).
thf(tp_sK27_X2,type,
sK27_X2: ( a > $o ) > a > ( a > $o ) > a ).
thf(tp_sK28_Y2,type,
sK28_Y2: a > ( a > $o ) > a ).
thf(tp_sK29_Y2,type,
sK29_Y2: a > ( a > $o ) > a ).
thf(tp_sK2_X2,type,
sK2_X2: set_a > a ).
thf(tp_sK30_Y2,type,
sK30_Y2: a > ( a > $o ) > a ).
thf(tp_sK31_Y2,type,
sK31_Y2: a > ( a > $o ) > a ).
thf(tp_sK32_Y2,type,
sK32_Y2: a > ( a > $o ) > a ).
thf(tp_sK33_Y2,type,
sK33_Y2: a > ( a > $o ) > a ).
thf(tp_sK34_X2,type,
sK34_X2: ( a > $o ) > a > ( a > $o ) > a ).
thf(tp_sK35_Y2,type,
sK35_Y2: a > ( a > $o ) > a ).
thf(tp_sK36_X2,type,
sK36_X2: ( a > a > a ) > a ).
thf(tp_sK37_SY738,type,
sK37_SY738: ( a > a > a ) > a ).
thf(tp_sK38_SY740,type,
sK38_SY740: ( a > a > a ) > a ).
thf(tp_sK39_X2,type,
sK39_X2: ( a > a > a ) > a ).
thf(tp_sK3_SY723,type,
sK3_SY723: set_a > a ).
thf(tp_sK40_SY741,type,
sK40_SY741: ( a > a > a ) > a ).
thf(tp_sK41_X2,type,
sK41_X2: ( a > a > a ) > a ).
thf(tp_sK42_SY742,type,
sK42_SY742: ( a > a > a ) > a ).
thf(tp_sK43_X2,type,
sK43_X2: ( a > a > a ) > a ).
thf(tp_sK44_SY743,type,
sK44_SY743: ( a > a > a ) > a ).
thf(tp_sK45_SY745,type,
sK45_SY745: ( a > a > a ) > a ).
thf(tp_sK46_X2,type,
sK46_X2: ( a > a > a ) > a ).
thf(tp_sK47_SY746,type,
sK47_SY746: ( a > a > a ) > a ).
thf(tp_sK48_X2,type,
sK48_X2: ( a > a > a ) > a ).
thf(tp_sK49_SY747,type,
sK49_SY747: ( a > a > a ) > a ).
thf(tp_sK4_X2,type,
sK4_X2: set_a > a ).
thf(tp_sK50_X2,type,
sK50_X2: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK51_X2,type,
sK51_X2: a > a ).
thf(tp_sK52_SY748,type,
sK52_SY748: a > a ).
thf(tp_sK53_SY750,type,
sK53_SY750: a > a ).
thf(tp_sK54_X2,type,
sK54_X2: a > a ).
thf(tp_sK55_SY751,type,
sK55_SY751: a > a ).
thf(tp_sK56_SY753,type,
sK56_SY753: a > a ).
thf(tp_sK57_SY924,type,
sK57_SY924: ( a > $o ) > a ).
thf(tp_sK58_SY925,type,
sK58_SY925: ( a > $o ) > a ).
thf(tp_sK59_SY926,type,
sK59_SY926: set_set_a > set_a ).
thf(tp_sK5_SY724,type,
sK5_SY724: set_a > a ).
thf(tp_sK60_SY927,type,
sK60_SY927: set_a > a ).
thf(tp_sK61_SY1006,type,
sK61_SY1006: ( a > set_a ) > a ).
thf(tp_sK62_SY1046,type,
sK62_SY1046: ( a > set_a ) > a ).
thf(tp_sK63_SY1133,type,
sK63_SY1133: ( a > a > a ) > a ).
thf(tp_sK64_SY1233,type,
sK64_SY1233: ( a > set_a ) > a ).
thf(tp_sK65_SY1166,type,
sK65_SY1166: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK66_SY1234,type,
sK66_SY1234: ( a > set_a ) > a ).
thf(tp_sK67_SY1235,type,
sK67_SY1235: ( a > a > a ) > a ).
thf(tp_sK68_SY1239,type,
sK68_SY1239: ( a > a > a ) > a ).
thf(tp_sK69_SY1237,type,
sK69_SY1237: a > set_a > a ).
thf(tp_sK6_X2,type,
sK6_X2: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK70_SY1203,type,
sK70_SY1203: set_a > set_a > a ).
thf(tp_sK71_SY1204,type,
sK71_SY1204: set_set_a > set_set_a > set_a ).
thf(tp_sK72_SY1209,type,
sK72_SY1209: set_set_a > set_set_a > set_a ).
thf(tp_sK73_SY1238,type,
sK73_SY1238: a > set_a > a ).
thf(tp_sK74_SY1215,type,
sK74_SY1215: set_a > set_a > a ).
thf(tp_sK75_SY1223,type,
sK75_SY1223: a > set_a > a ).
thf(tp_sK76_SY987,type,
sK76_SY987: set_a > a ).
thf(tp_sK77_SY1232,type,
sK77_SY1232: a > set_a > a ).
thf(tp_sK78_SY1084,type,
sK78_SY1084: set_a > a ).
thf(tp_sK79_SY1051,type,
sK79_SY1051: set_set_a > set_a ).
thf(tp_sK7_Y2,type,
sK7_Y2: set_a > a ).
thf(tp_sK80_SY1083,type,
sK80_SY1083: set_a > a ).
thf(tp_sK81_SY1051,type,
sK81_SY1051: set_a > set_set_a > set_a ).
thf(tp_sK82_SY1083,type,
sK82_SY1083: a > set_a > a ).
thf(tp_sK83_SY987,type,
sK83_SY987: a > set_a > a ).
thf(tp_sK84_SY1084,type,
sK84_SY1084: a > set_a > a ).
thf(tp_sK85_SY987,type,
sK85_SY987: a > set_a > a ).
thf(tp_sK86_SY1084,type,
sK86_SY1084: a > set_a > a ).
thf(tp_sK8_Y2,type,
sK8_Y2: set_set_a > set_a ).
thf(tp_sK9_X2,type,
sK9_X2: set_a > set_a > a ).
thf(tp_semigroup_a,type,
semigroup_a: ( a > a > a ) > $o ).
thf(tp_semilattice_a,type,
semilattice_a: ( a > a > a ) > $o ).
thf(tp_set_atLeastAtMost_a,type,
set_atLeastAtMost_a: ( a > a > $o ) > a > a > set_a ).
thf(tp_set_atLeast_a,type,
set_atLeast_a: ( a > a > $o ) > a > set_a ).
thf(tp_set_atMost_a,type,
set_atMost_a: ( a > a > $o ) > a > set_a ).
thf(tp_sup,type,
sup: a > a > a ).
thf(tp_transp_a,type,
transp_a: ( a > a > $o ) > $o ).
thf(1,axiom,
! [A2: set_set_a,A: set_a] :
( ( finite_finite_set_a @ A2 )
=> ( ( member_set_a @ A @ A2 )
=> ? [X2: set_a] :
( ( member_set_a @ X2 @ A2 )
& ( ord_less_eq_set_a @ X2 @ A )
& ! [Xa: set_a] :
( ( member_set_a @ Xa @ A2 )
=> ( ( ord_less_eq_set_a @ Xa @ X2 )
=> ( X2 = Xa ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_269_order__class_Ofinite__has__minimal2) ).
thf(2,axiom,
! [F: a > a > a,X: a,Z: a] :
( ( finite40241356em_a_a @ F )
=> ( ( F @ X @ ( F @ X @ Z ) )
= ( F @ X @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_comp__fun__idem_Ofun__left__idem) ).
thf(3,axiom,
! [L: a,H: a,H2: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ L @ H ) @ ( set_atMost_a @ less_eq @ H2 ) )
= ( ~ ( less_eq @ L @ H )
| ( less_eq @ H @ H2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_267_local_OIcc__subset__Iic__iff) ).
thf(4,axiom,
! [L: a,H: a,L2: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ L @ H ) @ ( set_atLeast_a @ less_eq @ L2 ) )
= ( ~ ( less_eq @ L @ H )
| ( less_eq @ L2 @ L ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_266_local_OIcc__subset__Ici__iff) ).
thf(5,axiom,
! [A: a,B: a,C: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ A @ B )
= ( insert_a @ C @ bot_bot_set_a ) )
= ( ( A = B )
& ( B = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_265_local_OatLeastAtMost__singleton__iff) ).
thf(6,axiom,
! [A: a] :
( ( set_atLeastAtMost_a @ less_eq @ A @ A )
= ( insert_a @ A @ bot_bot_set_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_264_local_OatLeastAtMost__singleton) ).
thf(7,axiom,
! [A: a,B: a,C: a,D: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ A @ B ) @ ( set_atLeastAtMost_a @ less_eq @ C @ D ) )
= ( ~ ( less_eq @ A @ B )
| ( ( less_eq @ C @ A )
& ( less_eq @ B @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_263_local_OatLeastatMost__subset__iff) ).
thf(8,axiom,
! [A: a,B: a] : ( condit1627435690bove_a @ less_eq @ ( set_atLeastAtMost_a @ less_eq @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_local_Obdd__above__Icc) ).
thf(9,axiom,
! [A: a,B: a] : ( condit1001553558elow_a @ less_eq @ ( set_atLeastAtMost_a @ less_eq @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_local_Obdd__below__Icc) ).
thf(10,axiom,
! [A: a,B: a] :
( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ A @ B ) )
= ( ~ ( less_eq @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_260_local_OatLeastatMost__empty__iff2) ).
thf(11,axiom,
! [A: a,B: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ A @ B )
= bot_bot_set_a )
= ( ~ ( less_eq @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_259_local_OatLeastatMost__empty__iff) ).
thf(12,axiom,
! [I: a,L: a,U: a] :
( ( member_a @ I @ ( set_atLeastAtMost_a @ less_eq @ L @ U ) )
= ( ( less_eq @ L @ I )
& ( less_eq @ I @ U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_258_local_OatLeastAtMost__iff) ).
thf(13,axiom,
! [L: a,H: a,L2: a,H2: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ L @ H )
= ( set_atLeastAtMost_a @ less_eq @ L2 @ H2 ) )
= ( ( ( L = L2 )
& ( H = H2 ) )
| ( ~ ( less_eq @ L @ H )
& ~ ( less_eq @ L2 @ H2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_257_local_OIcc__eq__Icc) ).
thf(14,axiom,
! [A: a,A2: set_a] :
( ( finite_finite_a @ ( insert_a @ A @ A2 ) )
= ( finite_finite_a @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_256_finite__insert) ).
thf(15,axiom,
! [A: set_a,A2: set_set_a] :
( ( finite_finite_set_a @ ( insert_set_a @ A @ A2 ) )
= ( finite_finite_set_a @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_255_finite__insert) ).
thf(16,axiom,
! [A: a,B: a] :
( ( A = B )
=> ( ( set_atLeastAtMost_a @ less_eq @ A @ B )
= ( insert_a @ A @ bot_bot_set_a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_254_local_OatLeastAtMost__singleton_H) ).
thf(17,axiom,
! [C4: set_a,D2: set_a,A: a] :
( ( ord_less_eq_set_a @ C4 @ D2 )
=> ( ord_less_eq_set_a @ ( insert_a @ A @ C4 ) @ ( insert_a @ A @ D2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_insert__mono) ).
thf(18,axiom,
! [X: a,A2: set_a,B4: set_a] :
( ~ ( member_a @ X @ A2 )
=> ( ( ord_less_eq_set_a @ A2 @ ( insert_a @ X @ B4 ) )
= ( ord_less_eq_set_a @ A2 @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_252_subset__insert) ).
thf(19,axiom,
! [X: set_a,A2: set_set_a,B4: set_set_a] :
( ~ ( member_set_a @ X @ A2 )
=> ( ( ord_le318720350_set_a @ A2 @ ( insert_set_a @ X @ B4 ) )
= ( ord_le318720350_set_a @ A2 @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_251_subset__insert) ).
thf(20,axiom,
! [B4: set_a,A: a] : ( ord_less_eq_set_a @ B4 @ ( insert_a @ A @ B4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_250_subset__insertI) ).
thf(21,axiom,
! [A2: set_a,B4: set_a,B: a] :
( ( ord_less_eq_set_a @ A2 @ B4 )
=> ( ord_less_eq_set_a @ A2 @ ( insert_a @ B @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_249_subset__insertI2) ).
thf(22,axiom,
! [A: a,B: a] :
( ( ( insert_a @ A @ bot_bot_set_a )
= ( insert_a @ B @ bot_bot_set_a ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_248_singleton__inject) ).
thf(23,axiom,
! [A: a,A2: set_a] :
( ( insert_a @ A @ A2 )
!= bot_bot_set_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_247_insert__not__empty) ).
thf(24,axiom,
! [A: a,B: a,C: a,D: a] :
( ( ( insert_a @ A @ ( insert_a @ B @ bot_bot_set_a ) )
= ( insert_a @ C @ ( insert_a @ D @ bot_bot_set_a ) ) )
= ( ( ( A = C )
& ( B = D ) )
| ( ( A = D )
& ( B = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_246_doubleton__eq__iff) ).
thf(25,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_245_singleton__iff) ).
thf(26,axiom,
! [B: set_a,A: set_a] :
( ( member_set_a @ B @ ( insert_set_a @ A @ bot_bot_set_set_a ) )
= ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_singleton__iff) ).
thf(27,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_243_singletonD) ).
thf(28,axiom,
! [B: set_a,A: set_a] :
( ( member_set_a @ B @ ( insert_set_a @ A @ bot_bot_set_set_a ) )
=> ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_242_singletonD) ).
thf(29,axiom,
! [X5: set_a,A: a] :
( ( ord_less_eq_set_a @ X5 @ ( insert_a @ A @ bot_bot_set_a ) )
= ( ( X5 = bot_bot_set_a )
| ( X5
= ( insert_a @ A @ bot_bot_set_a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_241_subset__singleton__iff) ).
thf(30,axiom,
! [A2: set_a,X: a] :
( ( ord_less_eq_set_a @ A2 @ ( insert_a @ X @ bot_bot_set_a ) )
=> ( ( A2 = bot_bot_set_a )
| ( A2
= ( insert_a @ X @ bot_bot_set_a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_240_subset__singletonD) ).
thf(31,axiom,
! [A2: set_a,X: a] :
( ( finite_finite_a @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ( ( lattic1781219155_fin_a @ sup @ ( insert_a @ X @ A2 ) )
= ( sup @ X @ ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_239_local_OSup__fin_Oinsert) ).
thf(32,axiom,
! [A2: set_a,X: a] :
( ( finite_finite_a @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ( ( lattic247676691_fin_a @ inf @ ( insert_a @ X @ A2 ) )
= ( inf @ X @ ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_238_local_OInf__fin_Oinsert) ).
thf(33,axiom,
! [X: a] :
( ( lattic1781219155_fin_a @ sup @ ( insert_a @ X @ bot_bot_set_a ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_237_local_OSup__fin_Osingleton) ).
thf(34,axiom,
! [X: a] :
( ( lattic247676691_fin_a @ inf @ ( insert_a @ X @ bot_bot_set_a ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_236_local_OInf__fin_Osingleton) ).
thf(35,axiom,
! [A: a,A2: set_a] :
( ( condit1001553558elow_a @ less_eq @ ( insert_a @ A @ A2 ) )
= ( condit1001553558elow_a @ less_eq @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_235_local_Obdd__below__insert) ).
thf(36,axiom,
! [A: a,A2: set_a] :
( ( condit1627435690bove_a @ less_eq @ ( insert_a @ A @ A2 ) )
= ( condit1627435690bove_a @ less_eq @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_234_local_Obdd__above__insert) ).
thf(37,axiom,
! [B: a,A: a,A2: set_a] :
( ( ( insert_a @ B @ bot_bot_set_a )
= ( insert_a @ A @ A2 ) )
= ( ( A = B )
& ( ord_less_eq_set_a @ A2 @ ( insert_a @ B @ bot_bot_set_a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_233_singleton__insert__inj__eq) ).
thf(38,axiom,
! [A: a,A2: set_a,B: a] :
( ( ( insert_a @ A @ A2 )
= ( insert_a @ B @ bot_bot_set_a ) )
= ( ( A = B )
& ( ord_less_eq_set_a @ A2 @ ( insert_a @ B @ bot_bot_set_a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_singleton__insert__inj__eq_H) ).
thf(39,axiom,
! [X: a,A2: set_a,B4: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ X @ A2 ) @ B4 )
= ( ( member_a @ X @ B4 )
& ( ord_less_eq_set_a @ A2 @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_231_insert__subset) ).
thf(40,axiom,
! [X: set_a,A2: set_set_a,B4: set_set_a] :
( ( ord_le318720350_set_a @ ( insert_set_a @ X @ A2 ) @ B4 )
= ( ( member_set_a @ X @ B4 )
& ( ord_le318720350_set_a @ A2 @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_230_insert__subset) ).
thf(41,axiom,
! [A: a] : ( member_a @ A @ ( insert_a @ A @ bot_bot_set_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_229_singletonI) ).
thf(42,axiom,
! [A: set_a] : ( member_set_a @ A @ ( insert_set_a @ A @ bot_bot_set_set_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_228_singletonI) ).
thf(43,axiom,
! [A2: set_a,X: a] :
( ( finite_finite_a @ A2 )
=> ( ~ ( member_a @ X @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ( ( lattic247676691_fin_a @ inf @ ( insert_a @ X @ A2 ) )
= ( inf @ X @ ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_227_local_OInf__fin_Oinsert__not__elem) ).
thf(44,axiom,
! [A2: set_a] :
( ( finite_finite_a @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ( ! [X2: a,Y2: a] : ( member_a @ ( inf @ X2 @ Y2 ) @ ( insert_a @ X2 @ ( insert_a @ Y2 @ bot_bot_set_a ) ) )
=> ( member_a @ ( lattic247676691_fin_a @ inf @ A2 ) @ A2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_226_local_OInf__fin_Oclosed) ).
thf(45,axiom,
! [A2: set_a,X: a] :
( ( finite_finite_a @ A2 )
=> ( ~ ( member_a @ X @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ( ( lattic1781219155_fin_a @ sup @ ( insert_a @ X @ A2 ) )
= ( sup @ X @ ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_225_local_OSup__fin_Oinsert__not__elem) ).
thf(46,axiom,
! [A2: set_a] :
( ( finite_finite_a @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ( ! [X2: a,Y2: a] : ( member_a @ ( sup @ X2 @ Y2 ) @ ( insert_a @ X2 @ ( insert_a @ Y2 @ bot_bot_set_a ) ) )
=> ( member_a @ ( lattic1781219155_fin_a @ sup @ A2 ) @ A2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_224_local_OSup__fin_Oclosed) ).
thf(47,axiom,
! [A2: set_a,B4: set_a,X: a] :
( ( ord_less_eq_set_a @ A2 @ B4 )
=> ( ( member_a @ X @ A2 )
=> ( member_a @ X @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_223_in__mono) ).
thf(48,axiom,
! [A2: set_set_a,B4: set_set_a,X: set_a] :
( ( ord_le318720350_set_a @ A2 @ B4 )
=> ( ( member_set_a @ X @ A2 )
=> ( member_set_a @ X @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_222_in__mono) ).
thf(49,axiom,
! [A2: set_a,B4: set_a,C: a] :
( ( ord_less_eq_set_a @ A2 @ B4 )
=> ( ( member_a @ C @ A2 )
=> ( member_a @ C @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_221_subsetD) ).
thf(50,axiom,
! [A2: set_set_a,B4: set_set_a,C: set_a] :
( ( ord_le318720350_set_a @ A2 @ B4 )
=> ( ( member_set_a @ C @ A2 )
=> ( member_set_a @ C @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_220_subsetD) ).
thf(51,axiom,
! [A2: set_a,B4: set_a] :
( ( A2 = B4 )
=> ~ ( ( ord_less_eq_set_a @ A2 @ B4 )
=> ~ ( ord_less_eq_set_a @ B4 @ A2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_219_equalityE) ).
thf(52,axiom,
( ord_less_eq_set_a
= ( ^ [A6: set_a,B5: set_a] :
! [X3: a] :
( ( member_a @ X3 @ A6 )
=> ( member_a @ X3 @ B5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_subset__eq) ).
thf(53,axiom,
( ord_le318720350_set_a
= ( ^ [A6: set_set_a,B5: set_set_a] :
! [X3: set_a] :
( ( member_set_a @ X3 @ A6 )
=> ( member_set_a @ X3 @ B5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_217_subset__eq) ).
thf(54,axiom,
! [A2: set_a,B4: set_a] :
( ( A2 = B4 )
=> ( ord_less_eq_set_a @ A2 @ B4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_equalityD1) ).
thf(55,axiom,
! [A2: set_a,B4: set_a] :
( ( A2 = B4 )
=> ( ord_less_eq_set_a @ B4 @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_equalityD2) ).
thf(56,axiom,
( ord_less_eq_set_a
= ( ^ [A6: set_a,B5: set_a] :
! [T: a] :
( ( member_a @ T @ A6 )
=> ( member_a @ T @ B5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_subset__iff) ).
thf(57,axiom,
( ord_le318720350_set_a
= ( ^ [A6: set_set_a,B5: set_set_a] :
! [T: set_a] :
( ( member_set_a @ T @ A6 )
=> ( member_set_a @ T @ B5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_213_subset__iff) ).
thf(58,axiom,
! [A2: set_a] : ( ord_less_eq_set_a @ A2 @ A2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_212_subset__refl) ).
thf(59,axiom,
! [P: a > $o,Q: a > $o] :
( ! [X2: a] :
( ( P @ X2 )
=> ( Q @ X2 ) )
=> ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_211_Collect__mono) ).
thf(60,axiom,
! [A2: set_a,B4: set_a,C4: set_a] :
( ( ord_less_eq_set_a @ A2 @ B4 )
=> ( ( ord_less_eq_set_a @ B4 @ C4 )
=> ( ord_less_eq_set_a @ A2 @ C4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_210_subset__trans) ).
thf(61,axiom,
( ( ^ [Y3: set_a,Z3: set_a] : ( Y3 = Z3 ) )
= ( ^ [A6: set_a,B5: set_a] :
( ( ord_less_eq_set_a @ A6 @ B5 )
& ( ord_less_eq_set_a @ B5 @ A6 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_set__eq__subset) ).
thf(62,axiom,
! [P: a > $o,Q: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) )
= ( ! [X3: a] :
( ( P @ X3 )
=> ( Q @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_Collect__mono__iff) ).
thf(63,axiom,
! [A: a] :
~ ( member_a @ A @ bot_bot_set_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_207_emptyE) ).
thf(64,axiom,
! [A: set_a] :
~ ( member_set_a @ A @ bot_bot_set_set_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_emptyE) ).
thf(65,axiom,
! [A2: set_a,A: a] :
( ( A2 = bot_bot_set_a )
=> ~ ( member_a @ A @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_205_equals0D) ).
thf(66,axiom,
! [A2: set_set_a,A: set_a] :
( ( A2 = bot_bot_set_set_a )
=> ~ ( member_set_a @ A @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_204_equals0D) ).
thf(67,axiom,
! [A2: set_a] :
( ! [Y2: a] :
~ ( member_a @ Y2 @ A2 )
=> ( A2 = bot_bot_set_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_203_equals0I) ).
thf(68,axiom,
! [A2: set_set_a] :
( ! [Y2: set_a] :
~ ( member_set_a @ Y2 @ A2 )
=> ( A2 = bot_bot_set_set_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_202_equals0I) ).
thf(69,axiom,
! [A2: set_a] :
( ( ? [X3: a] : ( member_a @ X3 @ A2 ) )
= ( ( A2 != bot_bot_set_a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_201_ex__in__conv) ).
thf(70,axiom,
! [A2: set_set_a] :
( ( ? [X3: set_a] : ( member_set_a @ X3 @ A2 ) )
= ( ( A2 != bot_bot_set_set_a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_ex__in__conv) ).
thf(71,axiom,
! [B: a] : ( condit1627435690bove_a @ less_eq @ ( set_atMost_a @ less_eq @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_199_local_Obdd__above__Iic) ).
thf(72,axiom,
! [A: a] : ( condit1001553558elow_a @ less_eq @ ( set_atLeast_a @ less_eq @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_198_local_Obdd__below__Ici) ).
thf(73,axiom,
! [I: a,K: a] :
( ( member_a @ I @ ( set_atMost_a @ less_eq @ K ) )
= ( less_eq @ I @ K ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_197_local_OatMost__iff) ).
thf(74,axiom,
! [I: a,K: a] :
( ( member_a @ I @ ( set_atLeast_a @ less_eq @ K ) )
= ( less_eq @ K @ I ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196_local_OatLeast__iff) ).
thf(75,axiom,
! [A2: set_a] : ( ord_less_eq_set_a @ bot_bot_set_a @ A2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195_empty__subsetI) ).
thf(76,axiom,
! [A2: set_a,B4: set_a] :
( ! [X2: a] :
( ( member_a @ X2 @ A2 )
=> ( member_a @ X2 @ B4 ) )
=> ( ord_less_eq_set_a @ A2 @ B4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_subsetI) ).
thf(77,axiom,
! [A2: set_set_a,B4: set_set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A2 )
=> ( member_set_a @ X2 @ B4 ) )
=> ( ord_le318720350_set_a @ A2 @ B4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_subsetI) ).
thf(78,axiom,
! [A2: set_a,B4: set_a] :
( ( ord_less_eq_set_a @ A2 @ B4 )
=> ( ( ord_less_eq_set_a @ B4 @ A2 )
=> ( A2 = B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_192_subset__antisym) ).
thf(79,axiom,
! [C: a] :
~ ( member_a @ C @ bot_bot_set_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_191_empty__iff) ).
thf(80,axiom,
! [C: set_a] :
~ ( member_set_a @ C @ bot_bot_set_set_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_190_empty__iff) ).
thf(81,axiom,
! [A2: set_a] :
( ( ! [X3: a] :
~ ( member_a @ X3 @ A2 ) )
= ( A2 = bot_bot_set_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_all__not__in__conv) ).
thf(82,axiom,
! [A2: set_set_a] :
( ( ! [X3: set_a] :
~ ( member_set_a @ X3 @ A2 ) )
= ( A2 = bot_bot_set_set_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_188_all__not__in__conv) ).
thf(83,axiom,
! [P: a > $o] :
( ( ( collect_a @ P )
= bot_bot_set_a )
= ( ! [X3: a] :
~ ( P @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_Collect__empty__eq) ).
thf(84,axiom,
! [P: a > $o] :
( ( bot_bot_set_a
= ( collect_a @ P ) )
= ( ! [X3: a] :
~ ( P @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_186_empty__Collect__eq) ).
thf(85,axiom,
! [A2: set_a] :
( ( ord_less_eq_set_a @ A2 @ bot_bot_set_a )
= ( A2 = bot_bot_set_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_subset__empty) ).
thf(86,axiom,
! [L: a] :
( bot_bot_set_a
!= ( set_atLeast_a @ less_eq @ L ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_local_Onot__empty__eq__Ici__eq__empty) ).
thf(87,axiom,
! [H: a] :
( bot_bot_set_a
!= ( set_atMost_a @ less_eq @ H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_183_local_Onot__empty__eq__Iic__eq__empty) ).
thf(88,axiom,
condit1001553558elow_a @ less_eq @ bot_bot_set_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_local_Obdd__below__empty) ).
thf(89,axiom,
condit1627435690bove_a @ less_eq @ bot_bot_set_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_local_Obdd__above__empty) ).
thf(90,axiom,
! [A2: set_a,X: a] :
( ( finite_finite_a @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ A2 ) @ X )
=> ! [A5: a] :
( ( member_a @ A5 @ A2 )
=> ( less_eq @ A5 @ X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_local_OSup__fin_OboundedE) ).
thf(91,axiom,
! [A2: set_a,X: a] :
( ( finite_finite_a @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ( ! [A4: a] :
( ( member_a @ A4 @ A2 )
=> ( less_eq @ A4 @ X ) )
=> ( less_eq @ ( lattic1781219155_fin_a @ sup @ A2 ) @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_179_local_OSup__fin_OboundedI) ).
thf(92,axiom,
! [A2: set_a,X: a] :
( ( finite_finite_a @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ A2 ) @ X )
= ( ! [X3: a] :
( ( member_a @ X3 @ A2 )
=> ( less_eq @ X3 @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_178_local_OSup__fin_Obounded__iff) ).
thf(93,axiom,
! [A2: set_a,X: a] :
( ( finite_finite_a @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ( ( less_eq @ X @ ( lattic247676691_fin_a @ inf @ A2 ) )
=> ! [A5: a] :
( ( member_a @ A5 @ A2 )
=> ( less_eq @ X @ A5 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_local_OInf__fin_OboundedE) ).
thf(94,axiom,
! [A2: set_a,X: a] :
( ( finite_finite_a @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ( ! [A4: a] :
( ( member_a @ A4 @ A2 )
=> ( less_eq @ X @ A4 ) )
=> ( less_eq @ X @ ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_176_local_OInf__fin_OboundedI) ).
thf(95,axiom,
! [A2: set_a,X: a] :
( ( finite_finite_a @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ( ( less_eq @ X @ ( lattic247676691_fin_a @ inf @ A2 ) )
= ( ! [X3: a] :
( ( member_a @ X3 @ A2 )
=> ( less_eq @ X @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_175_local_OInf__fin_Obounded__iff) ).
thf(96,axiom,
! [A2: set_a,B4: set_a] :
( ( finite_finite_a @ A2 )
=> ( ( B4 != bot_bot_set_a )
=> ( ( ord_less_eq_set_a @ B4 @ A2 )
=> ( ( sup @ ( lattic1781219155_fin_a @ sup @ B4 ) @ ( lattic1781219155_fin_a @ sup @ A2 ) )
= ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_174_local_OSup__fin_Osubset) ).
thf(97,axiom,
! [A2: set_a,B4: set_a] :
( ( finite_finite_a @ A2 )
=> ( ( B4 != bot_bot_set_a )
=> ( ( ord_less_eq_set_a @ B4 @ A2 )
=> ( ( inf @ ( lattic247676691_fin_a @ inf @ B4 ) @ ( lattic247676691_fin_a @ inf @ A2 ) )
= ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_173_local_OInf__fin_Osubset) ).
thf(98,axiom,
! [A2: set_a] :
( ( finite_finite_a @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ? [X2: a] :
( ( member_a @ X2 @ A2 )
& ! [Xa: a] :
( ( member_a @ Xa @ A2 )
=> ( ( less_eq @ X2 @ Xa )
=> ( X2 = Xa ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_local_Ofinite__has__maximal) ).
thf(99,axiom,
! [A2: set_a] :
( ( finite_finite_a @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ? [X2: a] :
( ( member_a @ X2 @ A2 )
& ! [Xa: a] :
( ( member_a @ Xa @ A2 )
=> ( ( less_eq @ Xa @ X2 )
=> ( X2 = Xa ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_171_local_Ofinite__has__minimal) ).
thf(100,axiom,
! [A2: set_a,B4: set_a] :
( ( ord_less_eq_set_a @ A2 @ B4 )
=> ( ( A2 != bot_bot_set_a )
=> ( ( finite_finite_a @ B4 )
=> ( less_eq @ ( lattic247676691_fin_a @ inf @ B4 ) @ ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_local_OInf__fin_Osubset__imp) ).
thf(101,axiom,
! [A2: set_a,B4: set_a] :
( ( ord_less_eq_set_a @ A2 @ B4 )
=> ( ( A2 != bot_bot_set_a )
=> ( ( finite_finite_a @ B4 )
=> ( less_eq @ ( lattic1781219155_fin_a @ sup @ A2 ) @ ( lattic1781219155_fin_a @ sup @ B4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_169_local_OSup__fin_Osubset__imp) ).
thf(102,axiom,
! [A2: set_a] :
( ( finite_finite_a @ A2 )
=> ( ( A2 != bot_bot_set_a )
=> ( less_eq @ ( lattic247676691_fin_a @ inf @ A2 ) @ ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_168_local_OInf__fin__le__Sup__fin) ).
thf(103,axiom,
lattic1781219155_fin_a = lattic1781219155_fin_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_167_semilattice__sup_OSup__fin_Ocong) ).
thf(104,axiom,
lattic247676691_fin_a = lattic247676691_fin_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_166_semilattice__inf_OInf__fin_Ocong) ).
thf(105,axiom,
! [A2: set_a,A: a] :
( ( finite_finite_a @ A2 )
=> ( ( member_a @ A @ A2 )
=> ( ( sup @ ( lattic247676691_fin_a @ inf @ A2 ) @ A )
= A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_165_local_Osup__Inf__absorb) ).
thf(106,axiom,
! [A2: set_a,A: a] :
( ( finite_finite_a @ A2 )
=> ( ( member_a @ A @ A2 )
=> ( ( inf @ A @ ( lattic1781219155_fin_a @ sup @ A2 ) )
= A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_local_Oinf__Sup__absorb) ).
thf(107,axiom,
! [A2: set_a,X: a] :
( ( finite_finite_a @ A2 )
=> ( ( member_a @ X @ A2 )
=> ( ( inf @ X @ ( lattic247676691_fin_a @ inf @ A2 ) )
= ( lattic247676691_fin_a @ inf @ A2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_163_local_OInf__fin_Oin__idem) ).
thf(108,axiom,
! [A2: set_a,X: a] :
( ( finite_finite_a @ A2 )
=> ( ( member_a @ X @ A2 )
=> ( ( sup @ X @ ( lattic1781219155_fin_a @ sup @ A2 ) )
= ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_162_local_OSup__fin_Oin__idem) ).
thf(109,axiom,
! [A2: set_a,A: a] :
( ( finite_finite_a @ A2 )
=> ( ( member_a @ A @ A2 )
=> ( less_eq @ ( lattic247676691_fin_a @ inf @ A2 ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_local_OInf__fin_OcoboundedI) ).
thf(110,axiom,
! [A2: set_a,A: a] :
( ( finite_finite_a @ A2 )
=> ( ( member_a @ A @ A2 )
=> ( less_eq @ A @ ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_160_local_OSup__fin_OcoboundedI) ).
thf(111,axiom,
! [F: a > set_a] :
( ( mono_a_set_a @ less_eq @ F )
= ( ! [X3: a,Y4: a] :
( ( less_eq @ X3 @ Y4 )
=> ( ord_less_eq_set_a @ ( F @ X3 ) @ ( F @ Y4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_local_Omono__def) ).
thf(112,axiom,
! [F: a > set_a] :
( ! [X2: a,Y2: a] :
( ( less_eq @ X2 @ Y2 )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y2 ) ) )
=> ( mono_a_set_a @ less_eq @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_local_OmonoI) ).
thf(113,axiom,
! [F: a > set_a,X: a,Y: a] :
( ( mono_a_set_a @ less_eq @ F )
=> ( ( less_eq @ X @ Y )
=> ( ord_less_eq_set_a @ ( F @ X ) @ ( F @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_157_local_OmonoE) ).
thf(114,axiom,
! [F: a > set_a,X: a,Y: a] :
( ( mono_a_set_a @ less_eq @ F )
=> ( ( less_eq @ X @ Y )
=> ( ord_less_eq_set_a @ ( F @ X ) @ ( F @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_156_local_OmonoD) ).
thf(115,axiom,
! [F: a > set_a] :
( ( antimono_a_set_a @ less_eq @ F )
= ( ! [X3: a,Y4: a] :
( ( less_eq @ X3 @ Y4 )
=> ( ord_less_eq_set_a @ ( F @ Y4 ) @ ( F @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_155_local_Oantimono__def) ).
thf(116,axiom,
! [F: a > set_a] :
( ! [X2: a,Y2: a] :
( ( less_eq @ X2 @ Y2 )
=> ( ord_less_eq_set_a @ ( F @ Y2 ) @ ( F @ X2 ) ) )
=> ( antimono_a_set_a @ less_eq @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_154_local_OantimonoI) ).
thf(117,axiom,
! [F: a > set_a,X: a,Y: a] :
( ( antimono_a_set_a @ less_eq @ F )
=> ( ( less_eq @ X @ Y )
=> ( ord_less_eq_set_a @ ( F @ Y ) @ ( F @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_153_local_OantimonoE) ).
thf(118,axiom,
! [F: a > set_a,X: a,Y: a] :
( ( antimono_a_set_a @ less_eq @ F )
=> ( ( less_eq @ X @ Y )
=> ( ord_less_eq_set_a @ ( F @ Y ) @ ( F @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_152_local_OantimonoD) ).
thf(119,axiom,
! [A2: set_a,A: a] :
( ( finite_finite_a @ A2 )
=> ( ( member_a @ A @ A2 )
=> ? [X2: a] :
( ( member_a @ X2 @ A2 )
& ( less_eq @ X2 @ A )
& ! [Xa: a] :
( ( member_a @ Xa @ A2 )
=> ( ( less_eq @ Xa @ X2 )
=> ( X2 = Xa ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_local_Ofinite__has__minimal2) ).
thf(120,axiom,
! [A2: set_a,A: a] :
( ( finite_finite_a @ A2 )
=> ( ( member_a @ A @ A2 )
=> ? [X2: a] :
( ( member_a @ X2 @ A2 )
& ( less_eq @ A @ X2 )
& ! [Xa: a] :
( ( member_a @ Xa @ A2 )
=> ( ( less_eq @ X2 @ Xa )
=> ( X2 = Xa ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_150_local_Ofinite__has__maximal2) ).
thf(121,axiom,
! [A2: set_a] :
( ( finite_finite_a @ A2 )
=> ( condit1627435690bove_a @ less_eq @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_149_local_Obdd__above__finite) ).
thf(122,axiom,
! [A2: set_a] :
( ( finite_finite_a @ A2 )
=> ( condit1001553558elow_a @ less_eq @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_local_Obdd__below__finite) ).
thf(123,axiom,
! [B4: set_a,A2: set_a] :
( ( condit1627435690bove_a @ less_eq @ B4 )
=> ( ( ord_less_eq_set_a @ A2 @ B4 )
=> ( condit1627435690bove_a @ less_eq @ A2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_local_Obdd__above__mono) ).
thf(124,axiom,
! [B4: set_a,A2: set_a] :
( ( condit1001553558elow_a @ less_eq @ B4 )
=> ( ( ord_less_eq_set_a @ A2 @ B4 )
=> ( condit1001553558elow_a @ less_eq @ A2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_local_Obdd__below__mono) ).
thf(125,axiom,
( semigroup_a
= ( ^ [F2: a > a > a] :
! [A3: a,B2: a,C3: a] :
( ( F2 @ ( F2 @ A3 @ B2 ) @ C3 )
= ( F2 @ A3 @ ( F2 @ B2 @ C3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_semigroup__def) ).
thf(126,axiom,
! [F: a > a > a,A: a,B: a,C: a] :
( ( semigroup_a @ F )
=> ( ( F @ ( F @ A @ B ) @ C )
= ( F @ A @ ( F @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_semigroup_Oassoc) ).
thf(127,axiom,
! [F: a > a > a] :
( ! [A4: a,B3: a,C2: a] :
( ( F @ ( F @ A4 @ B3 ) @ C2 )
= ( F @ A4 @ ( F @ B3 @ C2 ) ) )
=> ( semigroup_a @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_semigroup_Ointro) ).
thf(128,axiom,
! [F: a > a > a,A: a] :
( ( semilattice_a @ F )
=> ( ( F @ A @ A )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_142_semilattice_Oidem) ).
thf(129,axiom,
! [F: a > a > a,A: a,B: a] :
( ( abel_semigroup_a @ F )
=> ( ( F @ A @ B )
= ( F @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_abel__semigroup_Ocommute) ).
thf(130,axiom,
! [F: a > a > a,A: a,B: a] :
( ( semilattice_a @ F )
=> ( ( F @ A @ ( F @ A @ B ) )
= ( F @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_140_semilattice_Oleft__idem) ).
thf(131,axiom,
! [F: a > a > a,A: a,B: a] :
( ( semilattice_a @ F )
=> ( ( F @ ( F @ A @ B ) @ B )
= ( F @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_139_semilattice_Oright__idem) ).
thf(132,axiom,
! [F: a > a > a,B: a,A: a,C: a] :
( ( abel_semigroup_a @ F )
=> ( ( F @ B @ ( F @ A @ C ) )
= ( F @ A @ ( F @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_138_abel__semigroup_Oleft__commute) ).
thf(133,axiom,
! [A2: set_a,M4: a] :
( ! [X2: a] :
( ( member_a @ X2 @ A2 )
=> ( less_eq @ X2 @ M4 ) )
=> ( condit1627435690bove_a @ less_eq @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_137_local_Obdd__aboveI) ).
thf(134,axiom,
! [A2: set_a,M3: a] :
( ! [X2: a] :
( ( member_a @ X2 @ A2 )
=> ( less_eq @ M3 @ X2 ) )
=> ( condit1001553558elow_a @ less_eq @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_136_local_Obdd__belowI) ).
thf(135,axiom,
transp_a @ less_eq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_135_local_Otransp__le) ).
thf(136,axiom,
! [A2: set_a] :
( ( condit1001553558elow_a @ less_eq @ A2 )
= ( ? [M2: a] :
! [X3: a] :
( ( member_a @ X3 @ A2 )
=> ( less_eq @ M2 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_local_Obdd__below__def) ).
thf(137,axiom,
! [A2: set_a] :
( ( condit1627435690bove_a @ less_eq @ A2 )
= ( ? [M: a] :
! [X3: a] :
( ( member_a @ X3 @ A2 )
=> ( less_eq @ X3 @ M ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_133_local_Obdd__above__def) ).
thf(138,axiom,
! [F: a > a > a] :
( ( semilattice_a @ F )
=> ( abel_semigroup_a @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_semilattice_Oaxioms_I1_J) ).
thf(139,axiom,
! [F: a > a > a] :
( ( lattic1885654924_set_a @ F )
=> ( semilattice_a @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_semilattice__set_Oaxioms) ).
thf(140,axiom,
! [F: a > a > a] :
( ( semilattice_a @ F )
=> ( lattic1885654924_set_a @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_130_semilattice__set_Ointro) ).
thf(141,axiom,
lattic1885654924_set_a = semilattice_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_129_semilattice__set__def) ).
thf(142,axiom,
! [F: a > a > a] :
( ( abel_semigroup_a @ F )
=> ( semigroup_a @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128_abel__semigroup_Oaxioms_I1_J) ).
thf(143,axiom,
modula1936294176_aux_a = modula1936294176_aux_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_127_lattice_Od__aux_Ocong) ).
thf(144,axiom,
! [P: a > $o,X: a] :
( ( P @ X )
=> ( ! [Y2: a] :
( ( P @ Y2 )
=> ( less_eq @ X @ Y2 ) )
=> ( ( least_a @ less_eq @ P )
= X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_local_OLeast__equality) ).
thf(145,axiom,
! [P: a > $o,X: a,Q: a > $o] :
( ( P @ X )
=> ( ! [Y2: a] :
( ( P @ Y2 )
=> ( less_eq @ X @ Y2 ) )
=> ( ! [X2: a] :
( ( P @ X2 )
=> ( ! [Y5: a] :
( ( P @ Y5 )
=> ( less_eq @ X2 @ Y5 ) )
=> ( Q @ X2 ) ) )
=> ( Q @ ( least_a @ less_eq @ P ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_125_local_OLeastI2__order) ).
thf(146,axiom,
! [P: a > $o,Z: a] :
( ? [X4: a] :
( ( P @ X4 )
& ! [Y2: a] :
( ( P @ Y2 )
=> ( less_eq @ X4 @ Y2 ) )
& ! [Y2: a] :
( ( ( P @ Y2 )
& ! [Ya: a] :
( ( P @ Ya )
=> ( less_eq @ Y2 @ Ya ) ) )
=> ( Y2 = X4 ) ) )
=> ( ( P @ Z )
=> ( less_eq @ ( least_a @ less_eq @ P ) @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_local_OLeast1__le) ).
thf(147,axiom,
! [P: a > $o] :
( ? [X4: a] :
( ( P @ X4 )
& ! [Y2: a] :
( ( P @ Y2 )
=> ( less_eq @ X4 @ Y2 ) )
& ! [Y2: a] :
( ( ( P @ Y2 )
& ! [Ya: a] :
( ( P @ Ya )
=> ( less_eq @ Y2 @ Ya ) ) )
=> ( Y2 = X4 ) ) )
=> ( P @ ( least_a @ less_eq @ P ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_local_OLeast1I) ).
thf(148,axiom,
! [X: a,Y: a,Z: a] :
( ( less_eq @ ( sup @ X @ Y ) @ Z )
= ( ( less_eq @ X @ Z )
& ( less_eq @ Y @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_local_Ole__sup__iff) ).
thf(149,axiom,
! [B: a,C: a,A: a] :
( ( less_eq @ ( sup @ B @ C ) @ A )
= ( ( less_eq @ B @ A )
& ( less_eq @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_121_local_Osup_Obounded__iff) ).
thf(150,axiom,
! [A: a,B: a,C: a] :
( ( less_eq @ A @ ( inf @ B @ C ) )
= ( ( less_eq @ A @ B )
& ( less_eq @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_120_local_Oinf_Obounded__iff) ).
thf(151,axiom,
! [X: a,Y: a,Z: a] :
( ( less_eq @ X @ ( inf @ Y @ Z ) )
= ( ( less_eq @ X @ Y )
& ( less_eq @ X @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_local_Ole__inf__iff) ).
thf(152,axiom,
! [A: a,B: a] :
( ( ( less_eq @ A @ B )
=> ( ( min_a @ less_eq @ A @ B )
= A ) )
& ( ~ ( less_eq @ A @ B )
=> ( ( min_a @ less_eq @ A @ B )
= B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_118_local_Omin__def) ).
thf(153,axiom,
! [A: a,B: a] :
( ( ( less_eq @ A @ B )
=> ( ( max_a @ less_eq @ A @ B )
= B ) )
& ( ~ ( less_eq @ A @ B )
=> ( ( max_a @ less_eq @ A @ B )
= A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_local_Omax__def) ).
thf(154,axiom,
! [P: a > $o,X: a] :
( ( P @ X )
=> ( ! [Y2: a] :
( ( P @ Y2 )
=> ( less_eq @ Y2 @ X ) )
=> ( ( greatest_a @ less_eq @ P )
= X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116_local_OGreatest__equality) ).
thf(155,axiom,
! [P: a > $o,X: a,Q: a > $o] :
( ( P @ X )
=> ( ! [Y2: a] :
( ( P @ Y2 )
=> ( less_eq @ Y2 @ X ) )
=> ( ! [X2: a] :
( ( P @ X2 )
=> ( ! [Y5: a] :
( ( P @ Y5 )
=> ( less_eq @ Y5 @ X2 ) )
=> ( Q @ X2 ) ) )
=> ( Q @ ( greatest_a @ less_eq @ P ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_local_OGreatestI2__order) ).
thf(156,axiom,
! [X: a] : ( less_eq @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_local_Oorder__refl) ).
thf(157,axiom,
! [A: a] : ( less_eq @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_local_Oorder_Orefl) ).
thf(158,axiom,
! [X: a,Y: a] :
( ( less_eq @ X @ Y )
= ( ( sup @ X @ Y )
= Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112_local_Ole__iff__sup) ).
thf(159,axiom,
! [A: a,B: a,X: a] :
( ( less_eq @ ( sup @ A @ B ) @ X )
=> ~ ( ( less_eq @ A @ X )
=> ~ ( less_eq @ B @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_local_Ole__supE) ).
thf(160,axiom,
! [A: a,X: a,B: a] :
( ( less_eq @ A @ X )
=> ( ( less_eq @ B @ X )
=> ( less_eq @ ( sup @ A @ B ) @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_local_Ole__supI) ).
thf(161,axiom,
! [X: a,A: a,B: a] :
( ( less_eq @ X @ A )
=> ( less_eq @ X @ ( sup @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_local_Ole__supI1) ).
thf(162,axiom,
! [X: a,B: a,A: a] :
( ( less_eq @ X @ B )
=> ( less_eq @ X @ ( sup @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_local_Ole__supI2) ).
thf(163,axiom,
! [B: a,A: a] :
( ( less_eq @ B @ A )
=> ( ( sup @ A @ B )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_local_Osup_Oabsorb1) ).
thf(164,axiom,
! [A: a,B: a] :
( ( less_eq @ A @ B )
=> ( ( sup @ A @ B )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_local_Osup_Oabsorb2) ).
thf(165,axiom,
! [B: a,A: a] :
( ( less_eq @ B @ A )
= ( ( sup @ A @ B )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_local_Osup_Oabsorb__iff1) ).
thf(166,axiom,
! [A: a,B: a] :
( ( less_eq @ A @ B )
= ( ( sup @ A @ B )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_local_Osup_Oabsorb__iff2) ).
thf(167,axiom,
! [B: a,C: a,A: a] :
( ( less_eq @ ( sup @ B @ C ) @ A )
=> ~ ( ( less_eq @ B @ A )
=> ~ ( less_eq @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_local_Osup_OboundedE) ).
thf(168,axiom,
! [B: a,A: a,C: a] :
( ( less_eq @ B @ A )
=> ( ( less_eq @ C @ A )
=> ( less_eq @ ( sup @ B @ C ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_local_Osup_OboundedI) ).
thf(169,axiom,
! [A: a,B: a] : ( less_eq @ A @ ( sup @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_local_Osup_Ocobounded1) ).
thf(170,axiom,
! [B: a,A: a] : ( less_eq @ B @ ( sup @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_local_Osup_Ocobounded2) ).
thf(171,axiom,
! [C: a,A: a,B: a] :
( ( less_eq @ C @ A )
=> ( less_eq @ C @ ( sup @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_local_Osup_OcoboundedI1) ).
thf(172,axiom,
! [C: a,B: a,A: a] :
( ( less_eq @ C @ B )
=> ( less_eq @ C @ ( sup @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_local_Osup_OcoboundedI2) ).
thf(173,axiom,
! [C: a,A: a,D: a,B: a] :
( ( less_eq @ C @ A )
=> ( ( less_eq @ D @ B )
=> ( less_eq @ ( sup @ C @ D ) @ ( sup @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_local_Osup_Omono) ).
thf(174,axiom,
! [B: a,A: a] :
( ( less_eq @ B @ A )
=> ( A
= ( sup @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_local_Osup_OorderE) ).
thf(175,axiom,
! [A: a,B: a] :
( ( A
= ( sup @ A @ B ) )
=> ( less_eq @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_local_Osup_OorderI) ).
thf(176,axiom,
! [B: a,A: a] :
( ( less_eq @ B @ A )
= ( A
= ( sup @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_local_Osup_Oorder__iff) ).
thf(177,axiom,
! [Y: a,X: a] :
( ( less_eq @ Y @ X )
=> ( ( sup @ X @ Y )
= X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_local_Osup__absorb1) ).
thf(178,axiom,
! [X: a,Y: a] :
( ( less_eq @ X @ Y )
=> ( ( sup @ X @ Y )
= Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_local_Osup__absorb2) ).
thf(179,axiom,
! [X: a,Y: a] : ( less_eq @ X @ ( sup @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_local_Osup__ge1) ).
thf(180,axiom,
! [Y: a,X: a] : ( less_eq @ Y @ ( sup @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_local_Osup__ge2) ).
thf(181,axiom,
! [Y: a,X: a,Z: a] :
( ( less_eq @ Y @ X )
=> ( ( less_eq @ Z @ X )
=> ( less_eq @ ( sup @ Y @ Z ) @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_local_Osup__least) ).
thf(182,axiom,
! [A: a,C: a,B: a,D: a] :
( ( less_eq @ A @ C )
=> ( ( less_eq @ B @ D )
=> ( less_eq @ ( sup @ A @ B ) @ ( sup @ C @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_local_Osup__mono) ).
thf(183,axiom,
! [F: a > a > a,X: a,Y: a] :
( ! [X2: a,Y2: a] : ( less_eq @ X2 @ ( F @ X2 @ Y2 ) )
=> ( ! [X2: a,Y2: a] : ( less_eq @ Y2 @ ( F @ X2 @ Y2 ) )
=> ( ! [X2: a,Y2: a,Z2: a] :
( ( less_eq @ Y2 @ X2 )
=> ( ( less_eq @ Z2 @ X2 )
=> ( less_eq @ ( F @ Y2 @ Z2 ) @ X2 ) ) )
=> ( ( sup @ X @ Y )
= ( F @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_local_Osup__unique) ).
thf(184,axiom,
! [A: a,B: a] :
( ( less_eq @ A @ B )
=> ( ( inf @ A @ B )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_local_Oinf_Oabsorb1) ).
thf(185,axiom,
! [B: a,A: a] :
( ( less_eq @ B @ A )
=> ( ( inf @ A @ B )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_local_Oinf_Oabsorb2) ).
thf(186,axiom,
! [A: a,B: a] :
( ( less_eq @ A @ B )
= ( ( inf @ A @ B )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_local_Oinf_Oabsorb__iff1) ).
thf(187,axiom,
! [B: a,A: a] :
( ( less_eq @ B @ A )
= ( ( inf @ A @ B )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_local_Oinf_Oabsorb__iff2) ).
thf(188,axiom,
! [A: a,B: a,C: a] :
( ( less_eq @ A @ ( inf @ B @ C ) )
=> ~ ( ( less_eq @ A @ B )
=> ~ ( less_eq @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_local_Oinf_OboundedE) ).
thf(189,axiom,
! [A: a,B: a,C: a] :
( ( less_eq @ A @ B )
=> ( ( less_eq @ A @ C )
=> ( less_eq @ A @ ( inf @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_local_Oinf_OboundedI) ).
thf(190,axiom,
! [A: a,B: a] : ( less_eq @ ( inf @ A @ B ) @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_local_Oinf_Ocobounded1) ).
thf(191,axiom,
! [A: a,B: a] : ( less_eq @ ( inf @ A @ B ) @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_local_Oinf_Ocobounded2) ).
thf(192,axiom,
! [A: a,C: a,B: a] :
( ( less_eq @ A @ C )
=> ( less_eq @ ( inf @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_local_Oinf_OcoboundedI1) ).
thf(193,axiom,
! [B: a,C: a,A: a] :
( ( less_eq @ B @ C )
=> ( less_eq @ ( inf @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_local_Oinf_OcoboundedI2) ).
thf(194,axiom,
! [A: a,B: a] :
( ( less_eq @ A @ B )
=> ( A
= ( inf @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_local_Oinf_OorderE) ).
thf(195,axiom,
! [A: a,B: a] :
( ( A
= ( inf @ A @ B ) )
=> ( less_eq @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_local_Oinf_OorderI) ).
thf(196,axiom,
! [A: a,B: a] :
( ( less_eq @ A @ B )
= ( A
= ( inf @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_local_Oinf_Oorder__iff) ).
thf(197,axiom,
! [X: a,Y: a] :
( ( less_eq @ X @ Y )
=> ( ( inf @ X @ Y )
= X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_local_Oinf__absorb1) ).
thf(198,axiom,
! [Y: a,X: a] :
( ( less_eq @ Y @ X )
=> ( ( inf @ X @ Y )
= Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_local_Oinf__absorb2) ).
thf(199,axiom,
! [X: a,Y: a,Z: a] :
( ( less_eq @ X @ Y )
=> ( ( less_eq @ X @ Z )
=> ( less_eq @ X @ ( inf @ Y @ Z ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_local_Oinf__greatest) ).
thf(200,axiom,
! [X: a,Y: a] : ( less_eq @ ( inf @ X @ Y ) @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_local_Oinf__le1) ).
thf(201,axiom,
! [X: a,Y: a] : ( less_eq @ ( inf @ X @ Y ) @ Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_local_Oinf__le2) ).
thf(202,axiom,
! [A: a,C: a,B: a,D: a] :
( ( less_eq @ A @ C )
=> ( ( less_eq @ B @ D )
=> ( less_eq @ ( inf @ A @ B ) @ ( inf @ C @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_local_Oinf__mono) ).
thf(203,axiom,
! [F: a > a > a,X: a,Y: a] :
( ! [X2: a,Y2: a] : ( less_eq @ ( F @ X2 @ Y2 ) @ X2 )
=> ( ! [X2: a,Y2: a] : ( less_eq @ ( F @ X2 @ Y2 ) @ Y2 )
=> ( ! [X2: a,Y2: a,Z2: a] :
( ( less_eq @ X2 @ Y2 )
=> ( ( less_eq @ X2 @ Z2 )
=> ( less_eq @ X2 @ ( F @ Y2 @ Z2 ) ) ) )
=> ( ( inf @ X @ Y )
= ( F @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_local_Oinf__unique) ).
thf(204,axiom,
! [X: a,Y: a] :
( ( less_eq @ X @ Y )
= ( ( inf @ X @ Y )
= X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_local_Ole__iff__inf) ).
thf(205,axiom,
! [X: a,A: a,B: a] :
( ( less_eq @ X @ ( inf @ A @ B ) )
=> ~ ( ( less_eq @ X @ A )
=> ~ ( less_eq @ X @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_local_Ole__infE) ).
thf(206,axiom,
! [X: a,A: a,B: a] :
( ( less_eq @ X @ A )
=> ( ( less_eq @ X @ B )
=> ( less_eq @ X @ ( inf @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_local_Ole__infI) ).
thf(207,axiom,
! [A: a,X: a,B: a] :
( ( less_eq @ A @ X )
=> ( less_eq @ ( inf @ A @ B ) @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_local_Ole__infI1) ).
thf(208,axiom,
! [B: a,X: a,A: a] :
( ( less_eq @ B @ X )
=> ( less_eq @ ( inf @ A @ B ) @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_local_Ole__infI2) ).
thf(209,axiom,
! [X: a,Y: a,Z: a] :
( ( less_eq @ X @ Y )
=> ( ( less_eq @ Y @ Z )
=> ( less_eq @ X @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_local_Oorder__trans) ).
thf(210,axiom,
! [A: a,B: a,C: a] :
( ( less_eq @ A @ B )
=> ( ( less_eq @ B @ C )
=> ( less_eq @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_local_Oorder_Otrans) ).
thf(211,axiom,
( ( ^ [Y3: a,Z3: a] : ( Y3 = Z3 ) )
= ( ^ [A3: a,B2: a] :
( ( less_eq @ A3 @ B2 )
& ( less_eq @ B2 @ A3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_local_Oorder_Oeq__iff) ).
thf(212,axiom,
! [A: a,B: a] :
( ( less_eq @ A @ B )
=> ( ( less_eq @ B @ A )
=> ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_local_Oorder_Oantisym) ).
thf(213,axiom,
! [A: a,B: a,C: a] :
( ( less_eq @ A @ B )
=> ( ( B = C )
=> ( less_eq @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_local_Oord__le__eq__trans) ).
thf(214,axiom,
! [A: a,B: a,C: a] :
( ( A = B )
=> ( ( less_eq @ B @ C )
=> ( less_eq @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_local_Oord__eq__le__trans) ).
thf(215,axiom,
! [X: a,Y: a] :
( ( X = Y )
=> ( less_eq @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_local_Oeq__refl) ).
thf(216,axiom,
( ( ^ [Y3: a,Z3: a] : ( Y3 = Z3 ) )
= ( ^ [X3: a,Y4: a] :
( ( less_eq @ X3 @ Y4 )
& ( less_eq @ Y4 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_local_Oeq__iff) ).
thf(217,axiom,
! [B: a,A: a,C: a] :
( ( less_eq @ B @ A )
=> ( ( less_eq @ C @ B )
=> ( less_eq @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_local_Odual__order_Otrans) ).
thf(218,axiom,
( ( ^ [Y3: a,Z3: a] : ( Y3 = Z3 ) )
= ( ^ [A3: a,B2: a] :
( ( less_eq @ B2 @ A3 )
& ( less_eq @ A3 @ B2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_local_Odual__order_Oeq__iff) ).
thf(219,axiom,
! [B: a,A: a] :
( ( less_eq @ B @ A )
=> ( ( less_eq @ A @ B )
=> ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_local_Odual__order_Oantisym) ).
thf(220,axiom,
! [Y: a,X: a] :
( ( less_eq @ Y @ X )
=> ( ( less_eq @ X @ Y )
= ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_local_Oantisym__conv) ).
thf(221,axiom,
! [P: a > $o,Q: a > $o] :
( ! [X2: a] :
( ( P @ X2 )
= ( Q @ X2 ) )
=> ( ( collect_a @ P )
= ( collect_a @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_Collect__cong) ).
thf(222,axiom,
! [A2: set_a] :
( ( collect_a
@ ^ [X3: a] : ( member_a @ X3 @ A2 ) )
= A2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_Collect__mem__eq) ).
thf(223,axiom,
! [A2: set_set_a] :
( ( collect_set_a
@ ^ [X3: set_a] : ( member_set_a @ X3 @ A2 ) )
= A2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_Collect__mem__eq) ).
thf(224,axiom,
! [A: a,P: a > $o] :
( ( member_a @ A @ ( collect_a @ P ) )
= ( P @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_mem__Collect__eq) ).
thf(225,axiom,
! [A: set_a,P: set_a > $o] :
( ( member_set_a @ A @ ( collect_set_a @ P ) )
= ( P @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_mem__Collect__eq) ).
thf(226,axiom,
! [X: a,Y: a] :
( ( less_eq @ X @ Y )
=> ( ( less_eq @ Y @ X )
=> ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_local_Oantisym) ).
thf(227,axiom,
! [X: a,Y: a,Z: a] : ( less_eq @ ( sup @ X @ ( inf @ Y @ Z ) ) @ ( inf @ ( sup @ X @ Y ) @ ( sup @ X @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_local_Odistrib__sup__le) ).
thf(228,axiom,
! [X: a,Y: a,Z: a] : ( less_eq @ ( sup @ ( inf @ X @ Y ) @ ( inf @ X @ Z ) ) @ ( inf @ X @ ( sup @ Y @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_local_Odistrib__inf__le) ).
thf(229,axiom,
lattic1885654924_set_a @ inf,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_local_OInf__fin_Osemilattice__set__axioms) ).
thf(230,axiom,
lattic1885654924_set_a @ sup,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_local_OSup__fin_Osemilattice__set__axioms) ).
thf(231,axiom,
abel_semigroup_a @ inf,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_local_Oinf_Oabel__semigroup__axioms) ).
thf(232,axiom,
abel_semigroup_a @ sup,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_local_Osup_Oabel__semigroup__axioms) ).
thf(233,axiom,
semilattice_a @ inf,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_local_Oinf_Osemilattice__axioms) ).
thf(234,axiom,
semilattice_a @ sup,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_local_Osup_Osemilattice__axioms) ).
thf(235,axiom,
semigroup_a @ inf,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_local_Oinf_Osemigroup__axioms) ).
thf(236,axiom,
semigroup_a @ sup,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_local_Osup_Osemigroup__axioms) ).
thf(237,axiom,
finite40241356em_a_a @ inf,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_local_Ocomp__fun__idem__inf) ).
thf(238,axiom,
finite40241356em_a_a @ sup,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_local_Ocomp__fun__idem__sup) ).
thf(239,axiom,
modula1144073633_aux_a = modula1144073633_aux_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_lattice_Oe__aux_Ocong) ).
thf(240,axiom,
! [C: a,A: a,B: a] :
( ( modula1936294176_aux_a @ inf @ sup @ C @ A @ B )
= ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_d__c__a__b) ).
thf(241,axiom,
! [B: a,C: a,A: a] :
( ( modula1936294176_aux_a @ inf @ sup @ B @ C @ A )
= ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_d__b__c__a) ).
thf(242,axiom,
! [A: a,B: a,C: a] :
( ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C )
= ( sup @ ( sup @ ( inf @ A @ B ) @ ( inf @ B @ C ) ) @ ( inf @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_d__aux__def) ).
thf(243,axiom,
! [X: a,Y: a] :
( ( sup @ X @ ( inf @ X @ Y ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_local_Osup__inf__absorb) ).
thf(244,axiom,
! [X: a,Y: a] :
( ( inf @ X @ ( sup @ X @ Y ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_local_Oinf__sup__absorb) ).
thf(245,axiom,
! [X: a,Y: a] :
( ( sup @ X @ ( sup @ X @ Y ) )
= ( sup @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_local_Osup__left__idem) ).
thf(246,axiom,
! [X: a] :
( ( sup @ X @ X )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_local_Osup__idem) ).
thf(247,axiom,
! [A: a,B: a] :
( ( sup @ ( sup @ A @ B ) @ B )
= ( sup @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_local_Osup_Oright__idem) ).
thf(248,axiom,
! [A: a,B: a] :
( ( sup @ A @ ( sup @ A @ B ) )
= ( sup @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_local_Osup_Oleft__idem) ).
thf(249,axiom,
! [A: a] :
( ( sup @ A @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_local_Osup_Oidem) ).
thf(250,axiom,
! [X: a,Y: a] :
( ( inf @ ( inf @ X @ Y ) @ Y )
= ( inf @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_local_Oinf__right__idem) ).
thf(251,axiom,
! [X: a,Y: a] :
( ( inf @ X @ ( inf @ X @ Y ) )
= ( inf @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_local_Oinf__left__idem) ).
thf(252,axiom,
! [X: a] :
( ( inf @ X @ X )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_local_Oinf__idem) ).
thf(253,axiom,
! [A: a,B: a] :
( ( inf @ ( inf @ A @ B ) @ B )
= ( inf @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_local_Oinf_Oright__idem) ).
thf(254,axiom,
! [A: a,B: a] :
( ( inf @ A @ ( inf @ A @ B ) )
= ( inf @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_local_Oinf_Oleft__idem) ).
thf(255,axiom,
! [A: a] :
( ( inf @ A @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_local_Oinf_Oidem) ).
thf(256,axiom,
! [A: a,B: a,C: a] :
( ( modula1144073633_aux_a @ inf @ sup @ A @ B @ C )
= ( inf @ ( inf @ ( sup @ A @ B ) @ ( sup @ B @ C ) ) @ ( sup @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_e__aux__def) ).
thf(257,axiom,
! [X: a,Y: a,Z: a] :
( ! [X2: a,Y2: a,Z2: a] :
( ( sup @ X2 @ ( inf @ Y2 @ Z2 ) )
= ( inf @ ( sup @ X2 @ Y2 ) @ ( sup @ X2 @ Z2 ) ) )
=> ( ( inf @ X @ ( sup @ Y @ Z ) )
= ( sup @ ( inf @ X @ Y ) @ ( inf @ X @ Z ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_local_Odistrib__imp2) ).
thf(258,axiom,
! [X: a,Y: a,Z: a] :
( ! [X2: a,Y2: a,Z2: a] :
( ( inf @ X2 @ ( sup @ Y2 @ Z2 ) )
= ( sup @ ( inf @ X2 @ Y2 ) @ ( inf @ X2 @ Z2 ) ) )
=> ( ( sup @ X @ ( inf @ Y @ Z ) )
= ( inf @ ( sup @ X @ Y ) @ ( sup @ X @ Z ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_local_Odistrib__imp1) ).
thf(259,axiom,
! [X: a,Y: a,Z: a] :
( ( sup @ X @ ( sup @ Y @ Z ) )
= ( sup @ Y @ ( sup @ X @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_local_Osup__left__commute) ).
thf(260,axiom,
! [X: a,Y: a] :
( ( sup @ X @ Y )
= ( sup @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_local_Osup__commute) ).
thf(261,axiom,
! [X: a,Y: a,Z: a] :
( ( sup @ ( sup @ X @ Y ) @ Z )
= ( sup @ X @ ( sup @ Y @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_local_Osup__assoc) ).
thf(262,axiom,
! [B: a,A: a,C: a] :
( ( sup @ B @ ( sup @ A @ C ) )
= ( sup @ A @ ( sup @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_local_Osup_Oleft__commute) ).
thf(263,axiom,
! [A: a,B: a] :
( ( sup @ A @ B )
= ( sup @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_local_Osup_Ocommute) ).
thf(264,axiom,
! [A: a,B: a,C: a] :
( ( sup @ ( sup @ A @ B ) @ C )
= ( sup @ A @ ( sup @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_local_Osup_Oassoc) ).
thf(265,axiom,
! [X: a,Y: a,Z: a] :
( ( inf @ X @ ( inf @ Y @ Z ) )
= ( inf @ Y @ ( inf @ X @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_local_Oinf__left__commute) ).
thf(266,axiom,
! [X: a,Y: a] :
( ( inf @ X @ Y )
= ( inf @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_local_Oinf__commute) ).
thf(267,axiom,
! [X: a,Y: a,Z: a] :
( ( inf @ ( inf @ X @ Y ) @ Z )
= ( inf @ X @ ( inf @ Y @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_local_Oinf__assoc) ).
thf(268,axiom,
! [B: a,A: a,C: a] :
( ( inf @ B @ ( inf @ A @ C ) )
= ( inf @ A @ ( inf @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_local_Oinf_Oleft__commute) ).
thf(269,axiom,
! [A: a,B: a] :
( ( inf @ A @ B )
= ( inf @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_local_Oinf_Ocommute) ).
thf(270,axiom,
! [A: a,B: a,C: a] :
( ( inf @ ( inf @ A @ B ) @ C )
= ( inf @ A @ ( inf @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_local_Oinf_Oassoc) ).
thf(271,conjecture,
( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(272,negated_conjecture,
( ( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) )
= $false ),
inference(negate_conjecture,[status(cth)],[271]) ).
thf(273,plain,
( ( ( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
!= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[272]) ).
thf(274,plain,
( ( ! [A2: set_set_a] :
( ~ ( finite_finite_set_a @ A2 )
| ! [A: set_a] :
( ~ ( member_set_a @ A @ A2 )
| ( ! [SY722: set_a] :
( ~ ( member_set_a @ SY722 @ A2 )
| ~ ( ord_less_eq_set_a @ SY722 @ ( sK1_X2 @ A @ A2 ) )
| ( ( sK1_X2 @ A @ A2 )
= SY722 ) )
& ( member_set_a @ ( sK1_X2 @ A @ A2 ) @ A2 )
& ( ord_less_eq_set_a @ ( sK1_X2 @ A @ A2 ) @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[1]) ).
thf(275,plain,
( ( ! [F: a > a > a] :
( ~ ( finite40241356em_a_a @ F )
| ! [X: a,Z: a] :
( ( F @ X @ ( F @ X @ Z ) )
= ( F @ X @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[2]) ).
thf(276,plain,
( ( ! [A: a,B: a] :
( ( A != B )
| ( ( set_atLeastAtMost_a @ less_eq @ A @ B )
= ( insert_a @ A @ bot_bot_set_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(277,plain,
( ( ! [C4: set_a,D2: set_a] :
( ~ ( ord_less_eq_set_a @ C4 @ D2 )
| ! [A: a] : ( ord_less_eq_set_a @ ( insert_a @ A @ C4 ) @ ( insert_a @ A @ D2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(278,plain,
( ( ! [X: a,A2: set_a] :
( ( member_a @ X @ A2 )
| ! [B4: set_a] :
( ( ord_less_eq_set_a @ A2 @ ( insert_a @ X @ B4 ) )
= ( ord_less_eq_set_a @ A2 @ B4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(279,plain,
( ( ! [X: set_a,A2: set_set_a] :
( ( member_set_a @ X @ A2 )
| ! [B4: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ ( insert_set_a @ X @ B4 ) )
= ( ord_le318720350_set_a @ A2 @ B4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(280,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ! [B: a] : ( ord_less_eq_set_a @ A2 @ ( insert_a @ B @ B4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(281,plain,
( ( ! [A: a,B: a] :
( ( ( insert_a @ A @ bot_bot_set_a )
!= ( insert_a @ B @ bot_bot_set_a ) )
| ( A = B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(282,plain,
( ( ! [A: a,A2: set_a] :
( ( insert_a @ A @ A2 )
!= bot_bot_set_a ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(283,plain,
( ( ! [B: a,A: a] :
( ~ ( member_a @ B @ ( insert_a @ A @ bot_bot_set_a ) )
| ( B = A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(284,plain,
( ( ! [B: set_a,A: set_a] :
( ~ ( member_set_a @ B @ ( insert_set_a @ A @ bot_bot_set_set_a ) )
| ( B = A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(285,plain,
( ( ! [A2: set_a,X: a] :
( ~ ( ord_less_eq_set_a @ A2 @ ( insert_a @ X @ bot_bot_set_a ) )
| ( A2 = bot_bot_set_a )
| ( A2
= ( insert_a @ X @ bot_bot_set_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(286,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ( lattic1781219155_fin_a @ sup @ ( insert_a @ X @ A2 ) )
= ( sup @ X @ ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(287,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ( lattic247676691_fin_a @ inf @ ( insert_a @ X @ A2 ) )
= ( inf @ X @ ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(288,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [X: a] :
( ( member_a @ X @ A2 )
| ( A2 = bot_bot_set_a )
| ( ( lattic247676691_fin_a @ inf @ ( insert_a @ X @ A2 ) )
= ( inf @ X @ ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(289,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ~ ( member_a @ ( inf @ ( sK2_X2 @ A2 ) @ ( sK3_SY723 @ A2 ) ) @ ( insert_a @ ( sK2_X2 @ A2 ) @ ( insert_a @ ( sK3_SY723 @ A2 ) @ bot_bot_set_a ) ) )
| ( member_a @ ( lattic247676691_fin_a @ inf @ A2 ) @ A2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(290,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [X: a] :
( ( member_a @ X @ A2 )
| ( A2 = bot_bot_set_a )
| ( ( lattic1781219155_fin_a @ sup @ ( insert_a @ X @ A2 ) )
= ( sup @ X @ ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(291,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ~ ( member_a @ ( sup @ ( sK4_X2 @ A2 ) @ ( sK5_SY724 @ A2 ) ) @ ( insert_a @ ( sK4_X2 @ A2 ) @ ( insert_a @ ( sK5_SY724 @ A2 ) @ bot_bot_set_a ) ) )
| ( member_a @ ( lattic1781219155_fin_a @ sup @ A2 ) @ A2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(292,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ! [X: a] :
( ~ ( member_a @ X @ A2 )
| ( member_a @ X @ B4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(293,plain,
( ( ! [A2: set_set_a,B4: set_set_a] :
( ~ ( ord_le318720350_set_a @ A2 @ B4 )
| ! [X: set_a] :
( ~ ( member_set_a @ X @ A2 )
| ( member_set_a @ X @ B4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(294,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ! [C: a] :
( ~ ( member_a @ C @ A2 )
| ( member_a @ C @ B4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(295,plain,
( ( ! [A2: set_set_a,B4: set_set_a] :
( ~ ( ord_le318720350_set_a @ A2 @ B4 )
| ! [C: set_a] :
( ~ ( member_set_a @ C @ A2 )
| ( member_set_a @ C @ B4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(296,plain,
( ( ! [A2: set_a,B4: set_a] :
( ( A2 != B4 )
| ( ord_less_eq_set_a @ A2 @ B4 ) )
& ! [A2: set_a,B4: set_a] :
( ( A2 != B4 )
| ( ord_less_eq_set_a @ B4 @ A2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(297,plain,
( ( ! [A2: set_a,B4: set_a] :
( ( A2 != B4 )
| ( ord_less_eq_set_a @ A2 @ B4 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(298,plain,
( ( ! [A2: set_a,B4: set_a] :
( ( A2 != B4 )
| ( ord_less_eq_set_a @ B4 @ A2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(299,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ( ( P @ ( sK6_X2 @ Q @ P ) )
& ~ ( Q @ ( sK6_X2 @ Q @ P ) ) )
| ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(300,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ! [C4: set_a] :
( ~ ( ord_less_eq_set_a @ B4 @ C4 )
| ( ord_less_eq_set_a @ A2 @ C4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(301,plain,
( ( ! [A2: set_a] :
( ( A2 != bot_bot_set_a )
| ! [A: a] :
~ ( member_a @ A @ A2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(302,plain,
( ( ! [A2: set_set_a] :
( ( A2 != bot_bot_set_set_a )
| ! [A: set_a] :
~ ( member_set_a @ A @ A2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(303,plain,
( ( ! [A2: set_a] :
( ( member_a @ ( sK7_Y2 @ A2 ) @ A2 )
| ( A2 = bot_bot_set_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(304,plain,
( ( ! [A2: set_set_a] :
( ( member_set_a @ ( sK8_Y2 @ A2 ) @ A2 )
| ( A2 = bot_bot_set_set_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(305,plain,
( ( ! [A2: set_a] :
( ( ? [X3: a] : ( member_a @ X3 @ A2 ) )
= ( ( A2 != bot_bot_set_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(306,plain,
( ( ! [A2: set_set_a] :
( ( ? [X3: set_a] : ( member_set_a @ X3 @ A2 ) )
= ( ( A2 != bot_bot_set_set_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(307,plain,
( ( ! [A2: set_a,B4: set_a] :
( ( ( member_a @ ( sK9_X2 @ B4 @ A2 ) @ A2 )
& ~ ( member_a @ ( sK9_X2 @ B4 @ A2 ) @ B4 ) )
| ( ord_less_eq_set_a @ A2 @ B4 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(308,plain,
( ( ! [A2: set_set_a,B4: set_set_a] :
( ( ( member_set_a @ ( sK10_X2 @ B4 @ A2 ) @ A2 )
& ~ ( member_set_a @ ( sK10_X2 @ B4 @ A2 ) @ B4 ) )
| ( ord_le318720350_set_a @ A2 @ B4 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(309,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ~ ( ord_less_eq_set_a @ B4 @ A2 )
| ( A2 = B4 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(310,plain,
( ( ! [L: a] :
( bot_bot_set_a
!= ( set_atLeast_a @ less_eq @ L ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(311,plain,
( ( ! [H: a] :
( bot_bot_set_a
!= ( set_atMost_a @ less_eq @ H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(312,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ A2 ) @ X )
| ! [A5: a] :
( ~ ( member_a @ A5 @ A2 )
| ( less_eq @ A5 @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[90]) ).
thf(313,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ( ( member_a @ ( sK11_A4 @ X @ A2 ) @ A2 )
& ~ ( less_eq @ ( sK11_A4 @ X @ A2 ) @ X ) )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ A2 ) @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(314,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ( less_eq @ ( lattic1781219155_fin_a @ sup @ A2 ) @ X )
= ( ! [X3: a] :
( ( member_a @ X3 @ A2 )
=> ( less_eq @ X3 @ X ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[92]) ).
thf(315,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ~ ( less_eq @ X @ ( lattic247676691_fin_a @ inf @ A2 ) )
| ! [A5: a] :
( ~ ( member_a @ A5 @ A2 )
| ( less_eq @ X @ A5 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(316,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ( ( member_a @ ( sK12_A4 @ X @ A2 ) @ A2 )
& ~ ( less_eq @ X @ ( sK12_A4 @ X @ A2 ) ) )
| ( less_eq @ X @ ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[94]) ).
thf(317,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ( less_eq @ X @ ( lattic247676691_fin_a @ inf @ A2 ) )
= ( ! [X3: a] :
( ( member_a @ X3 @ A2 )
=> ( less_eq @ X @ X3 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[95]) ).
thf(318,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [B4: set_a] :
( ( B4 = bot_bot_set_a )
| ~ ( ord_less_eq_set_a @ B4 @ A2 )
| ( ( sup @ ( lattic1781219155_fin_a @ sup @ B4 ) @ ( lattic1781219155_fin_a @ sup @ A2 ) )
= ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[96]) ).
thf(319,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [B4: set_a] :
( ( B4 = bot_bot_set_a )
| ~ ( ord_less_eq_set_a @ B4 @ A2 )
| ( ( inf @ ( lattic247676691_fin_a @ inf @ B4 ) @ ( lattic247676691_fin_a @ inf @ A2 ) )
= ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[97]) ).
thf(320,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ( ! [SY725: a] :
( ~ ( member_a @ SY725 @ A2 )
| ~ ( less_eq @ ( sK13_X2 @ A2 ) @ SY725 )
| ( ( sK13_X2 @ A2 )
= SY725 ) )
& ( member_a @ ( sK13_X2 @ A2 ) @ A2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[98]) ).
thf(321,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ( ! [SY726: a] :
( ~ ( member_a @ SY726 @ A2 )
| ~ ( less_eq @ SY726 @ ( sK14_X2 @ A2 ) )
| ( ( sK14_X2 @ A2 )
= SY726 ) )
& ( member_a @ ( sK14_X2 @ A2 ) @ A2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[99]) ).
thf(322,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ( A2 = bot_bot_set_a )
| ~ ( finite_finite_a @ B4 )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ B4 ) @ ( lattic247676691_fin_a @ inf @ A2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[100]) ).
thf(323,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ( A2 = bot_bot_set_a )
| ~ ( finite_finite_a @ B4 )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ A2 ) @ ( lattic1781219155_fin_a @ sup @ B4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[101]) ).
thf(324,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ A2 ) @ ( lattic1781219155_fin_a @ sup @ A2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[102]) ).
thf(325,plain,
$true = $true,
inference(extcnf_combined,[status(esa)],[103]) ).
thf(326,plain,
$true = $true,
inference(extcnf_combined,[status(esa)],[104]) ).
thf(327,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [A: a] :
( ~ ( member_a @ A @ A2 )
| ( ( sup @ ( lattic247676691_fin_a @ inf @ A2 ) @ A )
= A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[105]) ).
thf(328,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [A: a] :
( ~ ( member_a @ A @ A2 )
| ( ( inf @ A @ ( lattic1781219155_fin_a @ sup @ A2 ) )
= A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[106]) ).
thf(329,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [X: a] :
( ~ ( member_a @ X @ A2 )
| ( ( inf @ X @ ( lattic247676691_fin_a @ inf @ A2 ) )
= ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[107]) ).
thf(330,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [X: a] :
( ~ ( member_a @ X @ A2 )
| ( ( sup @ X @ ( lattic1781219155_fin_a @ sup @ A2 ) )
= ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[108]) ).
thf(331,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [A: a] :
( ~ ( member_a @ A @ A2 )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ A2 ) @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[109]) ).
thf(332,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [A: a] :
( ~ ( member_a @ A @ A2 )
| ( less_eq @ A @ ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[110]) ).
thf(333,plain,
( ( ! [F: a > set_a] :
( ( ( less_eq @ ( sK15_X2 @ F ) @ ( sK16_SY727 @ F ) )
& ~ ( ord_less_eq_set_a @ ( F @ ( sK15_X2 @ F ) ) @ ( F @ ( sK16_SY727 @ F ) ) ) )
| ( mono_a_set_a @ less_eq @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[112]) ).
thf(334,plain,
( ( ! [F: a > set_a] :
( ~ ( mono_a_set_a @ less_eq @ F )
| ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ( ord_less_eq_set_a @ ( F @ X ) @ ( F @ Y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[113]) ).
thf(335,plain,
( ( ! [F: a > set_a] :
( ~ ( mono_a_set_a @ less_eq @ F )
| ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ( ord_less_eq_set_a @ ( F @ X ) @ ( F @ Y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[114]) ).
thf(336,plain,
( ( ! [F: a > set_a] :
( ( ( less_eq @ ( sK17_X2 @ F ) @ ( sK18_SY728 @ F ) )
& ~ ( ord_less_eq_set_a @ ( F @ ( sK18_SY728 @ F ) ) @ ( F @ ( sK17_X2 @ F ) ) ) )
| ( antimono_a_set_a @ less_eq @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[116]) ).
thf(337,plain,
( ( ! [F: a > set_a] :
( ~ ( antimono_a_set_a @ less_eq @ F )
| ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ( ord_less_eq_set_a @ ( F @ Y ) @ ( F @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[117]) ).
thf(338,plain,
( ( ! [F: a > set_a] :
( ~ ( antimono_a_set_a @ less_eq @ F )
| ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ( ord_less_eq_set_a @ ( F @ Y ) @ ( F @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[118]) ).
thf(339,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [A: a] :
( ~ ( member_a @ A @ A2 )
| ( ! [SY729: a] :
( ~ ( member_a @ SY729 @ A2 )
| ~ ( less_eq @ SY729 @ ( sK19_X2 @ A @ A2 ) )
| ( ( sK19_X2 @ A @ A2 )
= SY729 ) )
& ( less_eq @ ( sK19_X2 @ A @ A2 ) @ A )
& ( member_a @ ( sK19_X2 @ A @ A2 ) @ A2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[119]) ).
thf(340,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [A: a] :
( ~ ( member_a @ A @ A2 )
| ( ! [SY730: a] :
( ~ ( member_a @ SY730 @ A2 )
| ~ ( less_eq @ ( sK20_X2 @ A @ A2 ) @ SY730 )
| ( ( sK20_X2 @ A @ A2 )
= SY730 ) )
& ( less_eq @ A @ ( sK20_X2 @ A @ A2 ) )
& ( member_a @ ( sK20_X2 @ A @ A2 ) @ A2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[120]) ).
thf(341,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( condit1627435690bove_a @ less_eq @ A2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[121]) ).
thf(342,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( condit1001553558elow_a @ less_eq @ A2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[122]) ).
thf(343,plain,
( ( ! [B4: set_a] :
( ~ ( condit1627435690bove_a @ less_eq @ B4 )
| ! [A2: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ( condit1627435690bove_a @ less_eq @ A2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[123]) ).
thf(344,plain,
( ( ! [B4: set_a] :
( ~ ( condit1001553558elow_a @ less_eq @ B4 )
| ! [A2: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ( condit1001553558elow_a @ less_eq @ A2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[124]) ).
thf(345,plain,
( ( ! [F: a > a > a,A: a] :
( ~ ( semigroup_a @ F )
| ! [B: a,C: a] :
( ( F @ ( F @ A @ B ) @ C )
= ( F @ A @ ( F @ B @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[126]) ).
thf(346,plain,
( ( ! [F: a > a > a] :
( ( ( F @ ( F @ ( sK21_A4 @ F ) @ ( sK22_SY731 @ F ) ) @ ( sK23_SY733 @ F ) )
!= ( F @ ( sK21_A4 @ F ) @ ( F @ ( sK22_SY731 @ F ) @ ( sK23_SY733 @ F ) ) ) )
| ( semigroup_a @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[127]) ).
thf(347,plain,
( ( ! [F: a > a > a] :
( ~ ( semilattice_a @ F )
| ! [A: a] :
( ( F @ A @ A )
= A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[128]) ).
thf(348,plain,
( ( ! [F: a > a > a] :
( ~ ( abel_semigroup_a @ F )
| ! [A: a,B: a] :
( ( F @ A @ B )
= ( F @ B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[129]) ).
thf(349,plain,
( ( ! [F: a > a > a] :
( ~ ( semilattice_a @ F )
| ! [A: a,B: a] :
( ( F @ A @ ( F @ A @ B ) )
= ( F @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[130]) ).
thf(350,plain,
( ( ! [F: a > a > a] :
( ~ ( semilattice_a @ F )
| ! [A: a,B: a] :
( ( F @ ( F @ A @ B ) @ B )
= ( F @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[131]) ).
thf(351,plain,
( ( ! [F: a > a > a,B: a] :
( ~ ( abel_semigroup_a @ F )
| ! [A: a,C: a] :
( ( F @ B @ ( F @ A @ C ) )
= ( F @ A @ ( F @ B @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[132]) ).
thf(352,plain,
( ( ! [A2: set_a] :
( ! [M4: a] :
( ( member_a @ ( sK24_X2 @ M4 @ A2 ) @ A2 )
& ~ ( less_eq @ ( sK24_X2 @ M4 @ A2 ) @ M4 ) )
| ( condit1627435690bove_a @ less_eq @ A2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[133]) ).
thf(353,plain,
( ( ! [A2: set_a] :
( ! [M3: a] :
( ( member_a @ ( sK25_X2 @ M3 @ A2 ) @ A2 )
& ~ ( less_eq @ M3 @ ( sK25_X2 @ M3 @ A2 ) ) )
| ( condit1001553558elow_a @ less_eq @ A2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[134]) ).
thf(354,plain,
( ( ! [F: a > a > a] :
( ~ ( semilattice_a @ F )
| ( abel_semigroup_a @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[138]) ).
thf(355,plain,
( ( ! [F: a > a > a] :
( ~ ( lattic1885654924_set_a @ F )
| ( semilattice_a @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[139]) ).
thf(356,plain,
( ( ! [F: a > a > a] :
( ~ ( semilattice_a @ F )
| ( lattic1885654924_set_a @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[140]) ).
thf(357,plain,
( ( ! [F: a > a > a] :
( ~ ( abel_semigroup_a @ F )
| ( semigroup_a @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[142]) ).
thf(358,plain,
$true = $true,
inference(extcnf_combined,[status(esa)],[143]) ).
thf(359,plain,
( ( ! [P: a > $o,X: a] :
( ~ ( P @ X )
| ( ( P @ ( sK26_Y2 @ X @ P ) )
& ~ ( less_eq @ X @ ( sK26_Y2 @ X @ P ) ) )
| ( ( least_a @ less_eq @ P )
= X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[144]) ).
thf(360,plain,
( ( ! [P: a > $o,X: a] :
( ~ ( P @ X )
| ( ( P @ ( sK28_Y2 @ X @ P ) )
& ~ ( less_eq @ X @ ( sK28_Y2 @ X @ P ) ) )
| ! [Q: a > $o] :
( ( ( P @ ( sK27_X2 @ Q @ X @ P ) )
& ! [SY734: a] :
( ~ ( P @ SY734 )
| ( less_eq @ ( sK27_X2 @ Q @ X @ P ) @ SY734 ) )
& ~ ( Q @ ( sK27_X2 @ Q @ X @ P ) ) )
| ( Q @ ( least_a @ less_eq @ P ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[145]) ).
thf(361,plain,
( ( ! [P: a > $o] :
( ! [X4: a] :
( ( ! [SY735: a] :
( ~ ( P @ SY735 )
| ( less_eq @ ( sK30_Y2 @ X4 @ P ) @ SY735 ) )
& ( P @ ( sK30_Y2 @ X4 @ P ) )
& ( ( sK30_Y2 @ X4 @ P )
!= X4 ) )
| ( ( P @ ( sK29_Y2 @ X4 @ P ) )
& ~ ( less_eq @ X4 @ ( sK29_Y2 @ X4 @ P ) ) )
| ~ ( P @ X4 ) )
| ! [Z: a] :
( ~ ( P @ Z )
| ( less_eq @ ( least_a @ less_eq @ P ) @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[146]) ).
thf(362,plain,
( ( ! [P: a > $o] :
( ! [X4: a] :
( ( ! [SY736: a] :
( ~ ( P @ SY736 )
| ( less_eq @ ( sK32_Y2 @ X4 @ P ) @ SY736 ) )
& ( P @ ( sK32_Y2 @ X4 @ P ) )
& ( ( sK32_Y2 @ X4 @ P )
!= X4 ) )
| ( ( P @ ( sK31_Y2 @ X4 @ P ) )
& ~ ( less_eq @ X4 @ ( sK31_Y2 @ X4 @ P ) ) )
| ~ ( P @ X4 ) )
| ( P @ ( least_a @ less_eq @ P ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[147]) ).
thf(363,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ( ( min_a @ less_eq @ A @ B )
= A ) )
& ! [A: a,B: a] :
( ( less_eq @ A @ B )
| ( ( min_a @ less_eq @ A @ B )
= B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[152]) ).
thf(364,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ( ( max_a @ less_eq @ A @ B )
= B ) )
& ! [A: a,B: a] :
( ( less_eq @ A @ B )
| ( ( max_a @ less_eq @ A @ B )
= A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[153]) ).
thf(365,plain,
( ( ! [P: a > $o,X: a] :
( ~ ( P @ X )
| ( ( P @ ( sK33_Y2 @ X @ P ) )
& ~ ( less_eq @ ( sK33_Y2 @ X @ P ) @ X ) )
| ( ( greatest_a @ less_eq @ P )
= X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[154]) ).
thf(366,plain,
( ( ! [P: a > $o,X: a] :
( ~ ( P @ X )
| ( ( P @ ( sK35_Y2 @ X @ P ) )
& ~ ( less_eq @ ( sK35_Y2 @ X @ P ) @ X ) )
| ! [Q: a > $o] :
( ( ( P @ ( sK34_X2 @ Q @ X @ P ) )
& ! [SY737: a] :
( ~ ( P @ SY737 )
| ( less_eq @ SY737 @ ( sK34_X2 @ Q @ X @ P ) ) )
& ~ ( Q @ ( sK34_X2 @ Q @ X @ P ) ) )
| ( Q @ ( greatest_a @ less_eq @ P ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[155]) ).
thf(367,plain,
( ( ! [A: a] :
( ! [B: a,X: a] :
( ~ ( less_eq @ ( sup @ A @ B ) @ X )
| ( less_eq @ A @ X ) )
& ! [B: a,X: a] :
( ~ ( less_eq @ ( sup @ A @ B ) @ X )
| ( less_eq @ B @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[159]) ).
thf(368,plain,
( ( ! [A: a,X: a] :
( ~ ( less_eq @ A @ X )
| ! [B: a] :
( ~ ( less_eq @ B @ X )
| ( less_eq @ ( sup @ A @ B ) @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[160]) ).
thf(369,plain,
( ( ! [X: a,A: a] :
( ~ ( less_eq @ X @ A )
| ! [B: a] : ( less_eq @ X @ ( sup @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[161]) ).
thf(370,plain,
( ( ! [X: a,B: a] :
( ~ ( less_eq @ X @ B )
| ! [A: a] : ( less_eq @ X @ ( sup @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[162]) ).
thf(371,plain,
( ( ! [B: a,A: a] :
( ~ ( less_eq @ B @ A )
| ( ( sup @ A @ B )
= A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[163]) ).
thf(372,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ( ( sup @ A @ B )
= B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[164]) ).
thf(373,plain,
( ( ! [B: a] :
( ! [C: a,A: a] :
( ~ ( less_eq @ ( sup @ B @ C ) @ A )
| ( less_eq @ B @ A ) )
& ! [C: a,A: a] :
( ~ ( less_eq @ ( sup @ B @ C ) @ A )
| ( less_eq @ C @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[167]) ).
thf(374,plain,
( ( ! [B: a,A: a] :
( ~ ( less_eq @ B @ A )
| ! [C: a] :
( ~ ( less_eq @ C @ A )
| ( less_eq @ ( sup @ B @ C ) @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[168]) ).
thf(375,plain,
( ( ! [C: a,A: a] :
( ~ ( less_eq @ C @ A )
| ! [B: a] : ( less_eq @ C @ ( sup @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[171]) ).
thf(376,plain,
( ( ! [C: a,B: a] :
( ~ ( less_eq @ C @ B )
| ! [A: a] : ( less_eq @ C @ ( sup @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[172]) ).
thf(377,plain,
( ( ! [C: a,A: a] :
( ~ ( less_eq @ C @ A )
| ! [D: a,B: a] :
( ~ ( less_eq @ D @ B )
| ( less_eq @ ( sup @ C @ D ) @ ( sup @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[173]) ).
thf(378,plain,
( ( ! [B: a,A: a] :
( ~ ( less_eq @ B @ A )
| ( A
= ( sup @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[174]) ).
thf(379,plain,
( ( ! [A: a,B: a] :
( ( A
!= ( sup @ A @ B ) )
| ( less_eq @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[175]) ).
thf(380,plain,
( ( ! [Y: a,X: a] :
( ~ ( less_eq @ Y @ X )
| ( ( sup @ X @ Y )
= X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[177]) ).
thf(381,plain,
( ( ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ( ( sup @ X @ Y )
= Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[178]) ).
thf(382,plain,
( ( ! [Y: a,X: a] :
( ~ ( less_eq @ Y @ X )
| ! [Z: a] :
( ~ ( less_eq @ Z @ X )
| ( less_eq @ ( sup @ Y @ Z ) @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[181]) ).
thf(383,plain,
( ( ! [A: a,C: a] :
( ~ ( less_eq @ A @ C )
| ! [B: a,D: a] :
( ~ ( less_eq @ B @ D )
| ( less_eq @ ( sup @ A @ B ) @ ( sup @ C @ D ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[182]) ).
thf(384,plain,
( ( ! [F: a > a > a] :
( ~ ( less_eq @ ( sK41_X2 @ F ) @ ( F @ ( sK41_X2 @ F ) @ ( sK42_SY742 @ F ) ) )
| ~ ( less_eq @ ( sK40_SY741 @ F ) @ ( F @ ( sK39_X2 @ F ) @ ( sK40_SY741 @ F ) ) )
| ( ( less_eq @ ( sK37_SY738 @ F ) @ ( sK36_X2 @ F ) )
& ( less_eq @ ( sK38_SY740 @ F ) @ ( sK36_X2 @ F ) )
& ~ ( less_eq @ ( F @ ( sK37_SY738 @ F ) @ ( sK38_SY740 @ F ) ) @ ( sK36_X2 @ F ) ) )
| ! [X: a,Y: a] :
( ( sup @ X @ Y )
= ( F @ X @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[183]) ).
thf(385,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ( ( inf @ A @ B )
= A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[184]) ).
thf(386,plain,
( ( ! [B: a,A: a] :
( ~ ( less_eq @ B @ A )
| ( ( inf @ A @ B )
= B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[185]) ).
thf(387,plain,
( ( ! [A: a] :
( ! [B: a] :
( ! [C: a] :
~ ( less_eq @ A @ ( inf @ B @ C ) )
| ( less_eq @ A @ B ) )
& ! [B: a,C: a] :
( ~ ( less_eq @ A @ ( inf @ B @ C ) )
| ( less_eq @ A @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[188]) ).
thf(388,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ! [C: a] :
( ~ ( less_eq @ A @ C )
| ( less_eq @ A @ ( inf @ B @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[189]) ).
thf(389,plain,
( ( ! [A: a,C: a] :
( ~ ( less_eq @ A @ C )
| ! [B: a] : ( less_eq @ ( inf @ A @ B ) @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[192]) ).
thf(390,plain,
( ( ! [B: a,C: a] :
( ~ ( less_eq @ B @ C )
| ! [A: a] : ( less_eq @ ( inf @ A @ B ) @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[193]) ).
thf(391,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ( A
= ( inf @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[194]) ).
thf(392,plain,
( ( ! [A: a,B: a] :
( ( A
!= ( inf @ A @ B ) )
| ( less_eq @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[195]) ).
thf(393,plain,
( ( ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ( ( inf @ X @ Y )
= X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[197]) ).
thf(394,plain,
( ( ! [Y: a,X: a] :
( ~ ( less_eq @ Y @ X )
| ( ( inf @ X @ Y )
= Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[198]) ).
thf(395,plain,
( ( ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ! [Z: a] :
( ~ ( less_eq @ X @ Z )
| ( less_eq @ X @ ( inf @ Y @ Z ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[199]) ).
thf(396,plain,
( ( ! [A: a,C: a] :
( ~ ( less_eq @ A @ C )
| ! [B: a,D: a] :
( ~ ( less_eq @ B @ D )
| ( less_eq @ ( inf @ A @ B ) @ ( inf @ C @ D ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[202]) ).
thf(397,plain,
( ( ! [F: a > a > a] :
( ~ ( less_eq @ ( F @ ( sK48_X2 @ F ) @ ( sK49_SY747 @ F ) ) @ ( sK48_X2 @ F ) )
| ~ ( less_eq @ ( F @ ( sK46_X2 @ F ) @ ( sK47_SY746 @ F ) ) @ ( sK47_SY746 @ F ) )
| ( ( less_eq @ ( sK43_X2 @ F ) @ ( sK44_SY743 @ F ) )
& ( less_eq @ ( sK43_X2 @ F ) @ ( sK45_SY745 @ F ) )
& ~ ( less_eq @ ( sK43_X2 @ F ) @ ( F @ ( sK44_SY743 @ F ) @ ( sK45_SY745 @ F ) ) ) )
| ! [X: a,Y: a] :
( ( inf @ X @ Y )
= ( F @ X @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[203]) ).
thf(398,plain,
( ( ! [X: a] :
( ! [A: a] :
( ! [B: a] :
~ ( less_eq @ X @ ( inf @ A @ B ) )
| ( less_eq @ X @ A ) )
& ! [A: a,B: a] :
( ~ ( less_eq @ X @ ( inf @ A @ B ) )
| ( less_eq @ X @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[205]) ).
thf(399,plain,
( ( ! [X: a,A: a] :
( ~ ( less_eq @ X @ A )
| ! [B: a] :
( ~ ( less_eq @ X @ B )
| ( less_eq @ X @ ( inf @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[206]) ).
thf(400,plain,
( ( ! [A: a,X: a] :
( ~ ( less_eq @ A @ X )
| ! [B: a] : ( less_eq @ ( inf @ A @ B ) @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[207]) ).
thf(401,plain,
( ( ! [B: a,X: a] :
( ~ ( less_eq @ B @ X )
| ! [A: a] : ( less_eq @ ( inf @ A @ B ) @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[208]) ).
thf(402,plain,
( ( ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ! [Z: a] :
( ~ ( less_eq @ Y @ Z )
| ( less_eq @ X @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[209]) ).
thf(403,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ! [C: a] :
( ~ ( less_eq @ B @ C )
| ( less_eq @ A @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[210]) ).
thf(404,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ~ ( less_eq @ B @ A )
| ( A = B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[212]) ).
thf(405,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ! [C: a] :
( ( B != C )
| ( less_eq @ A @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[213]) ).
thf(406,plain,
( ( ! [A: a,B: a] :
( ( A != B )
| ! [C: a] :
( ~ ( less_eq @ B @ C )
| ( less_eq @ A @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[214]) ).
thf(407,plain,
( ( ! [X: a,Y: a] :
( ( X != Y )
| ( less_eq @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[215]) ).
thf(408,plain,
( ( ! [B: a,A: a] :
( ~ ( less_eq @ B @ A )
| ! [C: a] :
( ~ ( less_eq @ C @ B )
| ( less_eq @ C @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[217]) ).
thf(409,plain,
( ( ! [B: a,A: a] :
( ~ ( less_eq @ B @ A )
| ~ ( less_eq @ A @ B )
| ( A = B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[219]) ).
thf(410,plain,
( ( ! [Y: a,X: a] :
( ~ ( less_eq @ Y @ X )
| ( ( less_eq @ X @ Y )
= ( X = Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[220]) ).
thf(411,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ( ( P @ ( sK50_X2 @ Q @ P ) )
!= ( Q @ ( sK50_X2 @ Q @ P ) ) )
| ( ( collect_a @ P )
= ( collect_a @ Q ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[221]) ).
thf(412,plain,
( ( ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ~ ( less_eq @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[226]) ).
thf(413,plain,
$true = $true,
inference(extcnf_combined,[status(esa)],[239]) ).
thf(414,plain,
( ( ! [X: a] :
( ( ( sup @ ( sK51_X2 @ X ) @ ( inf @ ( sK52_SY748 @ X ) @ ( sK53_SY750 @ X ) ) )
!= ( inf @ ( sup @ ( sK51_X2 @ X ) @ ( sK52_SY748 @ X ) ) @ ( sup @ ( sK51_X2 @ X ) @ ( sK53_SY750 @ X ) ) ) )
| ! [Y: a,Z: a] :
( ( inf @ X @ ( sup @ Y @ Z ) )
= ( sup @ ( inf @ X @ Y ) @ ( inf @ X @ Z ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[257]) ).
thf(415,plain,
( ( ! [X: a] :
( ( ( inf @ ( sK54_X2 @ X ) @ ( sup @ ( sK55_SY751 @ X ) @ ( sK56_SY753 @ X ) ) )
!= ( sup @ ( inf @ ( sK54_X2 @ X ) @ ( sK55_SY751 @ X ) ) @ ( inf @ ( sK54_X2 @ X ) @ ( sK56_SY753 @ X ) ) ) )
| ! [Y: a,Z: a] :
( ( sup @ X @ ( inf @ Y @ Z ) )
= ( inf @ ( sup @ X @ Y ) @ ( sup @ X @ Z ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[258]) ).
thf(416,plain,
( ( ! [A: a,B: a,C: a] :
( ( inf @ ( inf @ A @ B ) @ C )
= ( inf @ A @ ( inf @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[270]) ).
thf(417,plain,
( ( ! [A: a,B: a] :
( ( inf @ A @ B )
= ( inf @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[269]) ).
thf(418,plain,
( ( ! [B: a,A: a,C: a] :
( ( inf @ B @ ( inf @ A @ C ) )
= ( inf @ A @ ( inf @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[268]) ).
thf(419,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( inf @ ( inf @ X @ Y ) @ Z )
= ( inf @ X @ ( inf @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[267]) ).
thf(420,plain,
( ( ! [X: a,Y: a] :
( ( inf @ X @ Y )
= ( inf @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[266]) ).
thf(421,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( inf @ X @ ( inf @ Y @ Z ) )
= ( inf @ Y @ ( inf @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[265]) ).
thf(422,plain,
( ( ! [A: a,B: a,C: a] :
( ( sup @ ( sup @ A @ B ) @ C )
= ( sup @ A @ ( sup @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[264]) ).
thf(423,plain,
( ( ! [A: a,B: a] :
( ( sup @ A @ B )
= ( sup @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[263]) ).
thf(424,plain,
( ( ! [B: a,A: a,C: a] :
( ( sup @ B @ ( sup @ A @ C ) )
= ( sup @ A @ ( sup @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[262]) ).
thf(425,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( sup @ ( sup @ X @ Y ) @ Z )
= ( sup @ X @ ( sup @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[261]) ).
thf(426,plain,
( ( ! [X: a,Y: a] :
( ( sup @ X @ Y )
= ( sup @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[260]) ).
thf(427,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( sup @ X @ ( sup @ Y @ Z ) )
= ( sup @ Y @ ( sup @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[259]) ).
thf(428,plain,
( ( ! [X: a] :
( ( ( inf @ ( sK54_X2 @ X ) @ ( sup @ ( sK55_SY751 @ X ) @ ( sK56_SY753 @ X ) ) )
!= ( sup @ ( inf @ ( sK54_X2 @ X ) @ ( sK55_SY751 @ X ) ) @ ( inf @ ( sK54_X2 @ X ) @ ( sK56_SY753 @ X ) ) ) )
| ! [Y: a,Z: a] :
( ( sup @ X @ ( inf @ Y @ Z ) )
= ( inf @ ( sup @ X @ Y ) @ ( sup @ X @ Z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(429,plain,
( ( ! [X: a] :
( ( ( sup @ ( sK51_X2 @ X ) @ ( inf @ ( sK52_SY748 @ X ) @ ( sK53_SY750 @ X ) ) )
!= ( inf @ ( sup @ ( sK51_X2 @ X ) @ ( sK52_SY748 @ X ) ) @ ( sup @ ( sK51_X2 @ X ) @ ( sK53_SY750 @ X ) ) ) )
| ! [Y: a,Z: a] :
( ( inf @ X @ ( sup @ Y @ Z ) )
= ( sup @ ( inf @ X @ Y ) @ ( inf @ X @ Z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(430,plain,
( ( ! [A: a,B: a,C: a] :
( ( modula1144073633_aux_a @ inf @ sup @ A @ B @ C )
= ( inf @ ( inf @ ( sup @ A @ B ) @ ( sup @ B @ C ) ) @ ( sup @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[256]) ).
thf(431,plain,
( ( ! [A: a] :
( ( inf @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[255]) ).
thf(432,plain,
( ( ! [A: a,B: a] :
( ( inf @ A @ ( inf @ A @ B ) )
= ( inf @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[254]) ).
thf(433,plain,
( ( ! [A: a,B: a] :
( ( inf @ ( inf @ A @ B ) @ B )
= ( inf @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[253]) ).
thf(434,plain,
( ( ! [X: a] :
( ( inf @ X @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[252]) ).
thf(435,plain,
( ( ! [X: a,Y: a] :
( ( inf @ X @ ( inf @ X @ Y ) )
= ( inf @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[251]) ).
thf(436,plain,
( ( ! [X: a,Y: a] :
( ( inf @ ( inf @ X @ Y ) @ Y )
= ( inf @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[250]) ).
thf(437,plain,
( ( ! [A: a] :
( ( sup @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[249]) ).
thf(438,plain,
( ( ! [A: a,B: a] :
( ( sup @ A @ ( sup @ A @ B ) )
= ( sup @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[248]) ).
thf(439,plain,
( ( ! [A: a,B: a] :
( ( sup @ ( sup @ A @ B ) @ B )
= ( sup @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[247]) ).
thf(440,plain,
( ( ! [X: a] :
( ( sup @ X @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[246]) ).
thf(441,plain,
( ( ! [X: a,Y: a] :
( ( sup @ X @ ( sup @ X @ Y ) )
= ( sup @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[245]) ).
thf(442,plain,
( ( ! [X: a,Y: a] :
( ( inf @ X @ ( sup @ X @ Y ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[244]) ).
thf(443,plain,
( ( ! [X: a,Y: a] :
( ( sup @ X @ ( inf @ X @ Y ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[243]) ).
thf(444,plain,
( ( ! [A: a,B: a,C: a] :
( ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C )
= ( sup @ ( sup @ ( inf @ A @ B ) @ ( inf @ B @ C ) ) @ ( inf @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[242]) ).
thf(445,plain,
( ( ! [B: a,C: a,A: a] :
( ( modula1936294176_aux_a @ inf @ sup @ B @ C @ A )
= ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[241]) ).
thf(446,plain,
( ( ! [C: a,A: a,B: a] :
( ( modula1936294176_aux_a @ inf @ sup @ C @ A @ B )
= ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[240]) ).
thf(447,plain,
$true = $true,
inference(copy,[status(thm)],[413]) ).
thf(448,plain,
( ( finite40241356em_a_a @ sup )
= $true ),
inference(copy,[status(thm)],[238]) ).
thf(449,plain,
( ( finite40241356em_a_a @ inf )
= $true ),
inference(copy,[status(thm)],[237]) ).
thf(450,plain,
( ( semigroup_a @ sup )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(451,plain,
( ( semigroup_a @ inf )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(452,plain,
( ( semilattice_a @ sup )
= $true ),
inference(copy,[status(thm)],[234]) ).
thf(453,plain,
( ( semilattice_a @ inf )
= $true ),
inference(copy,[status(thm)],[233]) ).
thf(454,plain,
( ( abel_semigroup_a @ sup )
= $true ),
inference(copy,[status(thm)],[232]) ).
thf(455,plain,
( ( abel_semigroup_a @ inf )
= $true ),
inference(copy,[status(thm)],[231]) ).
thf(456,plain,
( ( lattic1885654924_set_a @ sup )
= $true ),
inference(copy,[status(thm)],[230]) ).
thf(457,plain,
( ( lattic1885654924_set_a @ inf )
= $true ),
inference(copy,[status(thm)],[229]) ).
thf(458,plain,
( ( ! [X: a,Y: a,Z: a] : ( less_eq @ ( sup @ ( inf @ X @ Y ) @ ( inf @ X @ Z ) ) @ ( inf @ X @ ( sup @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[228]) ).
thf(459,plain,
( ( ! [X: a,Y: a,Z: a] : ( less_eq @ ( sup @ X @ ( inf @ Y @ Z ) ) @ ( inf @ ( sup @ X @ Y ) @ ( sup @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[227]) ).
thf(460,plain,
( ( ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ~ ( less_eq @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(461,plain,
( ( ! [A: set_a,P: set_a > $o] :
( ( member_set_a @ A @ ( collect_set_a @ P ) )
= ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[225]) ).
thf(462,plain,
( ( ! [A: a,P: a > $o] :
( ( member_a @ A @ ( collect_a @ P ) )
= ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[224]) ).
thf(463,plain,
( ( ! [A2: set_set_a] :
( ( collect_set_a
@ ^ [X3: set_a] : ( member_set_a @ X3 @ A2 ) )
= A2 ) )
= $true ),
inference(copy,[status(thm)],[223]) ).
thf(464,plain,
( ( ! [A2: set_a] :
( ( collect_a
@ ^ [X3: a] : ( member_a @ X3 @ A2 ) )
= A2 ) )
= $true ),
inference(copy,[status(thm)],[222]) ).
thf(465,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ( ( P @ ( sK50_X2 @ Q @ P ) )
!= ( Q @ ( sK50_X2 @ Q @ P ) ) )
| ( ( collect_a @ P )
= ( collect_a @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(466,plain,
( ( ! [Y: a,X: a] :
( ~ ( less_eq @ Y @ X )
| ( ( less_eq @ X @ Y )
= ( X = Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(467,plain,
( ( ! [B: a,A: a] :
( ~ ( less_eq @ B @ A )
| ~ ( less_eq @ A @ B )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(468,plain,
( ( ( ^ [Y3: a,Z3: a] : ( Y3 = Z3 ) )
= ( ^ [A3: a,B2: a] :
( ( less_eq @ B2 @ A3 )
& ( less_eq @ A3 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[218]) ).
thf(469,plain,
( ( ! [B: a,A: a] :
( ~ ( less_eq @ B @ A )
| ! [C: a] :
( ~ ( less_eq @ C @ B )
| ( less_eq @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(470,plain,
( ( ( ^ [Y3: a,Z3: a] : ( Y3 = Z3 ) )
= ( ^ [X3: a,Y4: a] :
( ( less_eq @ X3 @ Y4 )
& ( less_eq @ Y4 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[216]) ).
thf(471,plain,
( ( ! [X: a,Y: a] :
( ( X != Y )
| ( less_eq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(472,plain,
( ( ! [A: a,B: a] :
( ( A != B )
| ! [C: a] :
( ~ ( less_eq @ B @ C )
| ( less_eq @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(473,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ! [C: a] :
( ( B != C )
| ( less_eq @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(474,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ~ ( less_eq @ B @ A )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(475,plain,
( ( ( ^ [Y3: a,Z3: a] : ( Y3 = Z3 ) )
= ( ^ [A3: a,B2: a] :
( ( less_eq @ A3 @ B2 )
& ( less_eq @ B2 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[211]) ).
thf(476,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ! [C: a] :
( ~ ( less_eq @ B @ C )
| ( less_eq @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(477,plain,
( ( ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ! [Z: a] :
( ~ ( less_eq @ Y @ Z )
| ( less_eq @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(478,plain,
( ( ! [B: a,X: a] :
( ~ ( less_eq @ B @ X )
| ! [A: a] : ( less_eq @ ( inf @ A @ B ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(479,plain,
( ( ! [A: a,X: a] :
( ~ ( less_eq @ A @ X )
| ! [B: a] : ( less_eq @ ( inf @ A @ B ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(480,plain,
( ( ! [X: a,A: a] :
( ~ ( less_eq @ X @ A )
| ! [B: a] :
( ~ ( less_eq @ X @ B )
| ( less_eq @ X @ ( inf @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(481,plain,
( ( ! [X: a] :
( ! [A: a] :
( ! [B: a] :
~ ( less_eq @ X @ ( inf @ A @ B ) )
| ( less_eq @ X @ A ) )
& ! [A: a,B: a] :
( ~ ( less_eq @ X @ ( inf @ A @ B ) )
| ( less_eq @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(482,plain,
( ( ! [X: a,Y: a] :
( ( less_eq @ X @ Y )
= ( ( inf @ X @ Y )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[204]) ).
thf(483,plain,
( ( ! [F: a > a > a] :
( ~ ( less_eq @ ( F @ ( sK48_X2 @ F ) @ ( sK49_SY747 @ F ) ) @ ( sK48_X2 @ F ) )
| ~ ( less_eq @ ( F @ ( sK46_X2 @ F ) @ ( sK47_SY746 @ F ) ) @ ( sK47_SY746 @ F ) )
| ( ( less_eq @ ( sK43_X2 @ F ) @ ( sK44_SY743 @ F ) )
& ( less_eq @ ( sK43_X2 @ F ) @ ( sK45_SY745 @ F ) )
& ~ ( less_eq @ ( sK43_X2 @ F ) @ ( F @ ( sK44_SY743 @ F ) @ ( sK45_SY745 @ F ) ) ) )
| ! [X: a,Y: a] :
( ( inf @ X @ Y )
= ( F @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(484,plain,
( ( ! [A: a,C: a] :
( ~ ( less_eq @ A @ C )
| ! [B: a,D: a] :
( ~ ( less_eq @ B @ D )
| ( less_eq @ ( inf @ A @ B ) @ ( inf @ C @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(485,plain,
( ( ! [X: a,Y: a] : ( less_eq @ ( inf @ X @ Y ) @ Y ) )
= $true ),
inference(copy,[status(thm)],[201]) ).
thf(486,plain,
( ( ! [X: a,Y: a] : ( less_eq @ ( inf @ X @ Y ) @ X ) )
= $true ),
inference(copy,[status(thm)],[200]) ).
thf(487,plain,
( ( ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ! [Z: a] :
( ~ ( less_eq @ X @ Z )
| ( less_eq @ X @ ( inf @ Y @ Z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(488,plain,
( ( ! [Y: a,X: a] :
( ~ ( less_eq @ Y @ X )
| ( ( inf @ X @ Y )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(489,plain,
( ( ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ( ( inf @ X @ Y )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(490,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
= ( A
= ( inf @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[196]) ).
thf(491,plain,
( ( ! [A: a,B: a] :
( ( A
!= ( inf @ A @ B ) )
| ( less_eq @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(492,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ( A
= ( inf @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(493,plain,
( ( ! [B: a,C: a] :
( ~ ( less_eq @ B @ C )
| ! [A: a] : ( less_eq @ ( inf @ A @ B ) @ C ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(494,plain,
( ( ! [A: a,C: a] :
( ~ ( less_eq @ A @ C )
| ! [B: a] : ( less_eq @ ( inf @ A @ B ) @ C ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(495,plain,
( ( ! [A: a,B: a] : ( less_eq @ ( inf @ A @ B ) @ B ) )
= $true ),
inference(copy,[status(thm)],[191]) ).
thf(496,plain,
( ( ! [A: a,B: a] : ( less_eq @ ( inf @ A @ B ) @ A ) )
= $true ),
inference(copy,[status(thm)],[190]) ).
thf(497,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ! [C: a] :
( ~ ( less_eq @ A @ C )
| ( less_eq @ A @ ( inf @ B @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(498,plain,
( ( ! [A: a] :
( ! [B: a] :
( ! [C: a] :
~ ( less_eq @ A @ ( inf @ B @ C ) )
| ( less_eq @ A @ B ) )
& ! [B: a,C: a] :
( ~ ( less_eq @ A @ ( inf @ B @ C ) )
| ( less_eq @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(499,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
= ( ( inf @ A @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[187]) ).
thf(500,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
= ( ( inf @ A @ B )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[186]) ).
thf(501,plain,
( ( ! [B: a,A: a] :
( ~ ( less_eq @ B @ A )
| ( ( inf @ A @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(502,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ( ( inf @ A @ B )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(503,plain,
( ( ! [F: a > a > a] :
( ~ ( less_eq @ ( sK41_X2 @ F ) @ ( F @ ( sK41_X2 @ F ) @ ( sK42_SY742 @ F ) ) )
| ~ ( less_eq @ ( sK40_SY741 @ F ) @ ( F @ ( sK39_X2 @ F ) @ ( sK40_SY741 @ F ) ) )
| ( ( less_eq @ ( sK37_SY738 @ F ) @ ( sK36_X2 @ F ) )
& ( less_eq @ ( sK38_SY740 @ F ) @ ( sK36_X2 @ F ) )
& ~ ( less_eq @ ( F @ ( sK37_SY738 @ F ) @ ( sK38_SY740 @ F ) ) @ ( sK36_X2 @ F ) ) )
| ! [X: a,Y: a] :
( ( sup @ X @ Y )
= ( F @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(504,plain,
( ( ! [A: a,C: a] :
( ~ ( less_eq @ A @ C )
| ! [B: a,D: a] :
( ~ ( less_eq @ B @ D )
| ( less_eq @ ( sup @ A @ B ) @ ( sup @ C @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(505,plain,
( ( ! [Y: a,X: a] :
( ~ ( less_eq @ Y @ X )
| ! [Z: a] :
( ~ ( less_eq @ Z @ X )
| ( less_eq @ ( sup @ Y @ Z ) @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(506,plain,
( ( ! [Y: a,X: a] : ( less_eq @ Y @ ( sup @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(507,plain,
( ( ! [X: a,Y: a] : ( less_eq @ X @ ( sup @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(508,plain,
( ( ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ( ( sup @ X @ Y )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(509,plain,
( ( ! [Y: a,X: a] :
( ~ ( less_eq @ Y @ X )
| ( ( sup @ X @ Y )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(510,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
= ( A
= ( sup @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(511,plain,
( ( ! [A: a,B: a] :
( ( A
!= ( sup @ A @ B ) )
| ( less_eq @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(512,plain,
( ( ! [B: a,A: a] :
( ~ ( less_eq @ B @ A )
| ( A
= ( sup @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(513,plain,
( ( ! [C: a,A: a] :
( ~ ( less_eq @ C @ A )
| ! [D: a,B: a] :
( ~ ( less_eq @ D @ B )
| ( less_eq @ ( sup @ C @ D ) @ ( sup @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(514,plain,
( ( ! [C: a,B: a] :
( ~ ( less_eq @ C @ B )
| ! [A: a] : ( less_eq @ C @ ( sup @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(515,plain,
( ( ! [C: a,A: a] :
( ~ ( less_eq @ C @ A )
| ! [B: a] : ( less_eq @ C @ ( sup @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(516,plain,
( ( ! [B: a,A: a] : ( less_eq @ B @ ( sup @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(517,plain,
( ( ! [A: a,B: a] : ( less_eq @ A @ ( sup @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(518,plain,
( ( ! [B: a,A: a] :
( ~ ( less_eq @ B @ A )
| ! [C: a] :
( ~ ( less_eq @ C @ A )
| ( less_eq @ ( sup @ B @ C ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(519,plain,
( ( ! [B: a] :
( ! [C: a,A: a] :
( ~ ( less_eq @ ( sup @ B @ C ) @ A )
| ( less_eq @ B @ A ) )
& ! [C: a,A: a] :
( ~ ( less_eq @ ( sup @ B @ C ) @ A )
| ( less_eq @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(520,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
= ( ( sup @ A @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(521,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
= ( ( sup @ A @ B )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(522,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ( ( sup @ A @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(523,plain,
( ( ! [B: a,A: a] :
( ~ ( less_eq @ B @ A )
| ( ( sup @ A @ B )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(524,plain,
( ( ! [X: a,B: a] :
( ~ ( less_eq @ X @ B )
| ! [A: a] : ( less_eq @ X @ ( sup @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(525,plain,
( ( ! [X: a,A: a] :
( ~ ( less_eq @ X @ A )
| ! [B: a] : ( less_eq @ X @ ( sup @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(526,plain,
( ( ! [A: a,X: a] :
( ~ ( less_eq @ A @ X )
| ! [B: a] :
( ~ ( less_eq @ B @ X )
| ( less_eq @ ( sup @ A @ B ) @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(527,plain,
( ( ! [A: a] :
( ! [B: a,X: a] :
( ~ ( less_eq @ ( sup @ A @ B ) @ X )
| ( less_eq @ A @ X ) )
& ! [B: a,X: a] :
( ~ ( less_eq @ ( sup @ A @ B ) @ X )
| ( less_eq @ B @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(528,plain,
( ( ! [X: a,Y: a] :
( ( less_eq @ X @ Y )
= ( ( sup @ X @ Y )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(529,plain,
( ( ! [A: a] : ( less_eq @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(530,plain,
( ( ! [X: a] : ( less_eq @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(531,plain,
( ( ! [P: a > $o,X: a] :
( ~ ( P @ X )
| ( ( P @ ( sK35_Y2 @ X @ P ) )
& ~ ( less_eq @ ( sK35_Y2 @ X @ P ) @ X ) )
| ! [Q: a > $o] :
( ( ( P @ ( sK34_X2 @ Q @ X @ P ) )
& ! [SY737: a] :
( ~ ( P @ SY737 )
| ( less_eq @ SY737 @ ( sK34_X2 @ Q @ X @ P ) ) )
& ~ ( Q @ ( sK34_X2 @ Q @ X @ P ) ) )
| ( Q @ ( greatest_a @ less_eq @ P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(532,plain,
( ( ! [P: a > $o,X: a] :
( ~ ( P @ X )
| ( ( P @ ( sK33_Y2 @ X @ P ) )
& ~ ( less_eq @ ( sK33_Y2 @ X @ P ) @ X ) )
| ( ( greatest_a @ less_eq @ P )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(533,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ( ( max_a @ less_eq @ A @ B )
= B ) )
& ! [A: a,B: a] :
( ( less_eq @ A @ B )
| ( ( max_a @ less_eq @ A @ B )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(534,plain,
( ( ! [A: a,B: a] :
( ~ ( less_eq @ A @ B )
| ( ( min_a @ less_eq @ A @ B )
= A ) )
& ! [A: a,B: a] :
( ( less_eq @ A @ B )
| ( ( min_a @ less_eq @ A @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(535,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( less_eq @ X @ ( inf @ Y @ Z ) )
= ( ( less_eq @ X @ Y )
& ( less_eq @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(536,plain,
( ( ! [A: a,B: a,C: a] :
( ( less_eq @ A @ ( inf @ B @ C ) )
= ( ( less_eq @ A @ B )
& ( less_eq @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(537,plain,
( ( ! [B: a,C: a,A: a] :
( ( less_eq @ ( sup @ B @ C ) @ A )
= ( ( less_eq @ B @ A )
& ( less_eq @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(538,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( less_eq @ ( sup @ X @ Y ) @ Z )
= ( ( less_eq @ X @ Z )
& ( less_eq @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(539,plain,
( ( ! [P: a > $o] :
( ! [X4: a] :
( ( ! [SY736: a] :
( ~ ( P @ SY736 )
| ( less_eq @ ( sK32_Y2 @ X4 @ P ) @ SY736 ) )
& ( P @ ( sK32_Y2 @ X4 @ P ) )
& ( ( sK32_Y2 @ X4 @ P )
!= X4 ) )
| ( ( P @ ( sK31_Y2 @ X4 @ P ) )
& ~ ( less_eq @ X4 @ ( sK31_Y2 @ X4 @ P ) ) )
| ~ ( P @ X4 ) )
| ( P @ ( least_a @ less_eq @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(540,plain,
( ( ! [P: a > $o] :
( ! [X4: a] :
( ( ! [SY735: a] :
( ~ ( P @ SY735 )
| ( less_eq @ ( sK30_Y2 @ X4 @ P ) @ SY735 ) )
& ( P @ ( sK30_Y2 @ X4 @ P ) )
& ( ( sK30_Y2 @ X4 @ P )
!= X4 ) )
| ( ( P @ ( sK29_Y2 @ X4 @ P ) )
& ~ ( less_eq @ X4 @ ( sK29_Y2 @ X4 @ P ) ) )
| ~ ( P @ X4 ) )
| ! [Z: a] :
( ~ ( P @ Z )
| ( less_eq @ ( least_a @ less_eq @ P ) @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(541,plain,
( ( ! [P: a > $o,X: a] :
( ~ ( P @ X )
| ( ( P @ ( sK28_Y2 @ X @ P ) )
& ~ ( less_eq @ X @ ( sK28_Y2 @ X @ P ) ) )
| ! [Q: a > $o] :
( ( ( P @ ( sK27_X2 @ Q @ X @ P ) )
& ! [SY734: a] :
( ~ ( P @ SY734 )
| ( less_eq @ ( sK27_X2 @ Q @ X @ P ) @ SY734 ) )
& ~ ( Q @ ( sK27_X2 @ Q @ X @ P ) ) )
| ( Q @ ( least_a @ less_eq @ P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(542,plain,
( ( ! [P: a > $o,X: a] :
( ~ ( P @ X )
| ( ( P @ ( sK26_Y2 @ X @ P ) )
& ~ ( less_eq @ X @ ( sK26_Y2 @ X @ P ) ) )
| ( ( least_a @ less_eq @ P )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(543,plain,
$true = $true,
inference(copy,[status(thm)],[358]) ).
thf(544,plain,
( ( ! [F: a > a > a] :
( ~ ( abel_semigroup_a @ F )
| ( semigroup_a @ F ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(545,plain,
( ( lattic1885654924_set_a = semilattice_a )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(546,plain,
( ( ! [F: a > a > a] :
( ~ ( semilattice_a @ F )
| ( lattic1885654924_set_a @ F ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(547,plain,
( ( ! [F: a > a > a] :
( ~ ( lattic1885654924_set_a @ F )
| ( semilattice_a @ F ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(548,plain,
( ( ! [F: a > a > a] :
( ~ ( semilattice_a @ F )
| ( abel_semigroup_a @ F ) ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(549,plain,
( ( ! [A2: set_a] :
( ( condit1627435690bove_a @ less_eq @ A2 )
= ( ? [M: a] :
! [X3: a] :
( ( member_a @ X3 @ A2 )
=> ( less_eq @ X3 @ M ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(550,plain,
( ( ! [A2: set_a] :
( ( condit1001553558elow_a @ less_eq @ A2 )
= ( ? [M2: a] :
! [X3: a] :
( ( member_a @ X3 @ A2 )
=> ( less_eq @ M2 @ X3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(551,plain,
( ( transp_a @ less_eq )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(552,plain,
( ( ! [A2: set_a] :
( ! [M3: a] :
( ( member_a @ ( sK25_X2 @ M3 @ A2 ) @ A2 )
& ~ ( less_eq @ M3 @ ( sK25_X2 @ M3 @ A2 ) ) )
| ( condit1001553558elow_a @ less_eq @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(553,plain,
( ( ! [A2: set_a] :
( ! [M4: a] :
( ( member_a @ ( sK24_X2 @ M4 @ A2 ) @ A2 )
& ~ ( less_eq @ ( sK24_X2 @ M4 @ A2 ) @ M4 ) )
| ( condit1627435690bove_a @ less_eq @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(554,plain,
( ( ! [F: a > a > a,B: a] :
( ~ ( abel_semigroup_a @ F )
| ! [A: a,C: a] :
( ( F @ B @ ( F @ A @ C ) )
= ( F @ A @ ( F @ B @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[351]) ).
thf(555,plain,
( ( ! [F: a > a > a] :
( ~ ( semilattice_a @ F )
| ! [A: a,B: a] :
( ( F @ ( F @ A @ B ) @ B )
= ( F @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(556,plain,
( ( ! [F: a > a > a] :
( ~ ( semilattice_a @ F )
| ! [A: a,B: a] :
( ( F @ A @ ( F @ A @ B ) )
= ( F @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(557,plain,
( ( ! [F: a > a > a] :
( ~ ( abel_semigroup_a @ F )
| ! [A: a,B: a] :
( ( F @ A @ B )
= ( F @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(558,plain,
( ( ! [F: a > a > a] :
( ~ ( semilattice_a @ F )
| ! [A: a] :
( ( F @ A @ A )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[347]) ).
thf(559,plain,
( ( ! [F: a > a > a] :
( ( ( F @ ( F @ ( sK21_A4 @ F ) @ ( sK22_SY731 @ F ) ) @ ( sK23_SY733 @ F ) )
!= ( F @ ( sK21_A4 @ F ) @ ( F @ ( sK22_SY731 @ F ) @ ( sK23_SY733 @ F ) ) ) )
| ( semigroup_a @ F ) ) )
= $true ),
inference(copy,[status(thm)],[346]) ).
thf(560,plain,
( ( ! [F: a > a > a,A: a] :
( ~ ( semigroup_a @ F )
| ! [B: a,C: a] :
( ( F @ ( F @ A @ B ) @ C )
= ( F @ A @ ( F @ B @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[345]) ).
thf(561,plain,
( ( semigroup_a
= ( ^ [F2: a > a > a] :
! [A3: a,B2: a,C3: a] :
( ( F2 @ ( F2 @ A3 @ B2 ) @ C3 )
= ( F2 @ A3 @ ( F2 @ B2 @ C3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(562,plain,
( ( ! [B4: set_a] :
( ~ ( condit1001553558elow_a @ less_eq @ B4 )
| ! [A2: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ( condit1001553558elow_a @ less_eq @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[344]) ).
thf(563,plain,
( ( ! [B4: set_a] :
( ~ ( condit1627435690bove_a @ less_eq @ B4 )
| ! [A2: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ( condit1627435690bove_a @ less_eq @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[343]) ).
thf(564,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( condit1001553558elow_a @ less_eq @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[342]) ).
thf(565,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( condit1627435690bove_a @ less_eq @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[341]) ).
thf(566,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [A: a] :
( ~ ( member_a @ A @ A2 )
| ( ! [SY730: a] :
( ~ ( member_a @ SY730 @ A2 )
| ~ ( less_eq @ ( sK20_X2 @ A @ A2 ) @ SY730 )
| ( ( sK20_X2 @ A @ A2 )
= SY730 ) )
& ( less_eq @ A @ ( sK20_X2 @ A @ A2 ) )
& ( member_a @ ( sK20_X2 @ A @ A2 ) @ A2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[340]) ).
thf(567,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [A: a] :
( ~ ( member_a @ A @ A2 )
| ( ! [SY729: a] :
( ~ ( member_a @ SY729 @ A2 )
| ~ ( less_eq @ SY729 @ ( sK19_X2 @ A @ A2 ) )
| ( ( sK19_X2 @ A @ A2 )
= SY729 ) )
& ( less_eq @ ( sK19_X2 @ A @ A2 ) @ A )
& ( member_a @ ( sK19_X2 @ A @ A2 ) @ A2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[339]) ).
thf(568,plain,
( ( ! [F: a > set_a] :
( ~ ( antimono_a_set_a @ less_eq @ F )
| ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ( ord_less_eq_set_a @ ( F @ Y ) @ ( F @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[338]) ).
thf(569,plain,
( ( ! [F: a > set_a] :
( ~ ( antimono_a_set_a @ less_eq @ F )
| ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ( ord_less_eq_set_a @ ( F @ Y ) @ ( F @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[337]) ).
thf(570,plain,
( ( ! [F: a > set_a] :
( ( ( less_eq @ ( sK17_X2 @ F ) @ ( sK18_SY728 @ F ) )
& ~ ( ord_less_eq_set_a @ ( F @ ( sK18_SY728 @ F ) ) @ ( F @ ( sK17_X2 @ F ) ) ) )
| ( antimono_a_set_a @ less_eq @ F ) ) )
= $true ),
inference(copy,[status(thm)],[336]) ).
thf(571,plain,
( ( ! [F: a > set_a] :
( ( antimono_a_set_a @ less_eq @ F )
= ( ! [X3: a,Y4: a] :
( ( less_eq @ X3 @ Y4 )
=> ( ord_less_eq_set_a @ ( F @ Y4 ) @ ( F @ X3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(572,plain,
( ( ! [F: a > set_a] :
( ~ ( mono_a_set_a @ less_eq @ F )
| ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ( ord_less_eq_set_a @ ( F @ X ) @ ( F @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(573,plain,
( ( ! [F: a > set_a] :
( ~ ( mono_a_set_a @ less_eq @ F )
| ! [X: a,Y: a] :
( ~ ( less_eq @ X @ Y )
| ( ord_less_eq_set_a @ ( F @ X ) @ ( F @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(574,plain,
( ( ! [F: a > set_a] :
( ( ( less_eq @ ( sK15_X2 @ F ) @ ( sK16_SY727 @ F ) )
& ~ ( ord_less_eq_set_a @ ( F @ ( sK15_X2 @ F ) ) @ ( F @ ( sK16_SY727 @ F ) ) ) )
| ( mono_a_set_a @ less_eq @ F ) ) )
= $true ),
inference(copy,[status(thm)],[333]) ).
thf(575,plain,
( ( ! [F: a > set_a] :
( ( mono_a_set_a @ less_eq @ F )
= ( ! [X3: a,Y4: a] :
( ( less_eq @ X3 @ Y4 )
=> ( ord_less_eq_set_a @ ( F @ X3 ) @ ( F @ Y4 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(576,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [A: a] :
( ~ ( member_a @ A @ A2 )
| ( less_eq @ A @ ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[332]) ).
thf(577,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [A: a] :
( ~ ( member_a @ A @ A2 )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ A2 ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[331]) ).
thf(578,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [X: a] :
( ~ ( member_a @ X @ A2 )
| ( ( sup @ X @ ( lattic1781219155_fin_a @ sup @ A2 ) )
= ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[330]) ).
thf(579,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [X: a] :
( ~ ( member_a @ X @ A2 )
| ( ( inf @ X @ ( lattic247676691_fin_a @ inf @ A2 ) )
= ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[329]) ).
thf(580,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [A: a] :
( ~ ( member_a @ A @ A2 )
| ( ( inf @ A @ ( lattic1781219155_fin_a @ sup @ A2 ) )
= A ) ) ) )
= $true ),
inference(copy,[status(thm)],[328]) ).
thf(581,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [A: a] :
( ~ ( member_a @ A @ A2 )
| ( ( sup @ ( lattic247676691_fin_a @ inf @ A2 ) @ A )
= A ) ) ) )
= $true ),
inference(copy,[status(thm)],[327]) ).
thf(582,plain,
$true = $true,
inference(copy,[status(thm)],[326]) ).
thf(583,plain,
$true = $true,
inference(copy,[status(thm)],[325]) ).
thf(584,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ A2 ) @ ( lattic1781219155_fin_a @ sup @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[324]) ).
thf(585,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ( A2 = bot_bot_set_a )
| ~ ( finite_finite_a @ B4 )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ A2 ) @ ( lattic1781219155_fin_a @ sup @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[323]) ).
thf(586,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ( A2 = bot_bot_set_a )
| ~ ( finite_finite_a @ B4 )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ B4 ) @ ( lattic247676691_fin_a @ inf @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[322]) ).
thf(587,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ( ! [SY726: a] :
( ~ ( member_a @ SY726 @ A2 )
| ~ ( less_eq @ SY726 @ ( sK14_X2 @ A2 ) )
| ( ( sK14_X2 @ A2 )
= SY726 ) )
& ( member_a @ ( sK14_X2 @ A2 ) @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[321]) ).
thf(588,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ( ! [SY725: a] :
( ~ ( member_a @ SY725 @ A2 )
| ~ ( less_eq @ ( sK13_X2 @ A2 ) @ SY725 )
| ( ( sK13_X2 @ A2 )
= SY725 ) )
& ( member_a @ ( sK13_X2 @ A2 ) @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[320]) ).
thf(589,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [B4: set_a] :
( ( B4 = bot_bot_set_a )
| ~ ( ord_less_eq_set_a @ B4 @ A2 )
| ( ( inf @ ( lattic247676691_fin_a @ inf @ B4 ) @ ( lattic247676691_fin_a @ inf @ A2 ) )
= ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[319]) ).
thf(590,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [B4: set_a] :
( ( B4 = bot_bot_set_a )
| ~ ( ord_less_eq_set_a @ B4 @ A2 )
| ( ( sup @ ( lattic1781219155_fin_a @ sup @ B4 ) @ ( lattic1781219155_fin_a @ sup @ A2 ) )
= ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[318]) ).
thf(591,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ( less_eq @ X @ ( lattic247676691_fin_a @ inf @ A2 ) )
= ( ! [X3: a] :
( ( member_a @ X3 @ A2 )
=> ( less_eq @ X @ X3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[317]) ).
thf(592,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ( ( member_a @ ( sK12_A4 @ X @ A2 ) @ A2 )
& ~ ( less_eq @ X @ ( sK12_A4 @ X @ A2 ) ) )
| ( less_eq @ X @ ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[316]) ).
thf(593,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ~ ( less_eq @ X @ ( lattic247676691_fin_a @ inf @ A2 ) )
| ! [A5: a] :
( ~ ( member_a @ A5 @ A2 )
| ( less_eq @ X @ A5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[315]) ).
thf(594,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ( less_eq @ ( lattic1781219155_fin_a @ sup @ A2 ) @ X )
= ( ! [X3: a] :
( ( member_a @ X3 @ A2 )
=> ( less_eq @ X3 @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[314]) ).
thf(595,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ( ( member_a @ ( sK11_A4 @ X @ A2 ) @ A2 )
& ~ ( less_eq @ ( sK11_A4 @ X @ A2 ) @ X ) )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ A2 ) @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(596,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ A2 ) @ X )
| ! [A5: a] :
( ~ ( member_a @ A5 @ A2 )
| ( less_eq @ A5 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[312]) ).
thf(597,plain,
( ( condit1627435690bove_a @ less_eq @ bot_bot_set_a )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(598,plain,
( ( condit1001553558elow_a @ less_eq @ bot_bot_set_a )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(599,plain,
( ( ! [H: a] :
( bot_bot_set_a
!= ( set_atMost_a @ less_eq @ H ) ) )
= $true ),
inference(copy,[status(thm)],[311]) ).
thf(600,plain,
( ( ! [L: a] :
( bot_bot_set_a
!= ( set_atLeast_a @ less_eq @ L ) ) )
= $true ),
inference(copy,[status(thm)],[310]) ).
thf(601,plain,
( ( ! [A2: set_a] :
( ( ord_less_eq_set_a @ A2 @ bot_bot_set_a )
= ( A2 = bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(602,plain,
( ( ! [P: a > $o] :
( ( bot_bot_set_a
= ( collect_a @ P ) )
= ( ! [X3: a] :
~ ( P @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(603,plain,
( ( ! [P: a > $o] :
( ( ( collect_a @ P )
= bot_bot_set_a )
= ( ! [X3: a] :
~ ( P @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(604,plain,
( ( ! [A2: set_set_a] :
( ( ! [X3: set_a] :
~ ( member_set_a @ X3 @ A2 ) )
= ( A2 = bot_bot_set_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(605,plain,
( ( ! [A2: set_a] :
( ( ! [X3: a] :
~ ( member_a @ X3 @ A2 ) )
= ( A2 = bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(606,plain,
( ( ! [C: set_a] :
~ ( member_set_a @ C @ bot_bot_set_set_a ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(607,plain,
( ( ! [C: a] :
~ ( member_a @ C @ bot_bot_set_a ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(608,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ~ ( ord_less_eq_set_a @ B4 @ A2 )
| ( A2 = B4 ) ) )
= $true ),
inference(copy,[status(thm)],[309]) ).
thf(609,plain,
( ( ! [A2: set_set_a,B4: set_set_a] :
( ( ( member_set_a @ ( sK10_X2 @ B4 @ A2 ) @ A2 )
& ~ ( member_set_a @ ( sK10_X2 @ B4 @ A2 ) @ B4 ) )
| ( ord_le318720350_set_a @ A2 @ B4 ) ) )
= $true ),
inference(copy,[status(thm)],[308]) ).
thf(610,plain,
( ( ! [A2: set_a,B4: set_a] :
( ( ( member_a @ ( sK9_X2 @ B4 @ A2 ) @ A2 )
& ~ ( member_a @ ( sK9_X2 @ B4 @ A2 ) @ B4 ) )
| ( ord_less_eq_set_a @ A2 @ B4 ) ) )
= $true ),
inference(copy,[status(thm)],[307]) ).
thf(611,plain,
( ( ! [A2: set_a] : ( ord_less_eq_set_a @ bot_bot_set_a @ A2 ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(612,plain,
( ( ! [I: a,K: a] :
( ( member_a @ I @ ( set_atLeast_a @ less_eq @ K ) )
= ( less_eq @ K @ I ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(613,plain,
( ( ! [I: a,K: a] :
( ( member_a @ I @ ( set_atMost_a @ less_eq @ K ) )
= ( less_eq @ I @ K ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(614,plain,
( ( ! [A: a] : ( condit1001553558elow_a @ less_eq @ ( set_atLeast_a @ less_eq @ A ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(615,plain,
( ( ! [B: a] : ( condit1627435690bove_a @ less_eq @ ( set_atMost_a @ less_eq @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(616,plain,
( ( ! [A2: set_set_a] :
( ( ? [X3: set_a] : ( member_set_a @ X3 @ A2 ) )
= ( ( A2 != bot_bot_set_set_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[306]) ).
thf(617,plain,
( ( ! [A2: set_a] :
( ( ? [X3: a] : ( member_a @ X3 @ A2 ) )
= ( ( A2 != bot_bot_set_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[305]) ).
thf(618,plain,
( ( ! [A2: set_set_a] :
( ( member_set_a @ ( sK8_Y2 @ A2 ) @ A2 )
| ( A2 = bot_bot_set_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[304]) ).
thf(619,plain,
( ( ! [A2: set_a] :
( ( member_a @ ( sK7_Y2 @ A2 ) @ A2 )
| ( A2 = bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[303]) ).
thf(620,plain,
( ( ! [A2: set_set_a] :
( ( A2 != bot_bot_set_set_a )
| ! [A: set_a] :
~ ( member_set_a @ A @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[302]) ).
thf(621,plain,
( ( ! [A2: set_a] :
( ( A2 != bot_bot_set_a )
| ! [A: a] :
~ ( member_a @ A @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[301]) ).
thf(622,plain,
( ( ! [A: set_a] :
~ ( member_set_a @ A @ bot_bot_set_set_a ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(623,plain,
( ( ! [A: a] :
~ ( member_a @ A @ bot_bot_set_a ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(624,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) )
= ( ! [X3: a] :
( ( P @ X3 )
=> ( Q @ X3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(625,plain,
( ( ( ^ [Y3: set_a,Z3: set_a] : ( Y3 = Z3 ) )
= ( ^ [A6: set_a,B5: set_a] :
( ( ord_less_eq_set_a @ A6 @ B5 )
& ( ord_less_eq_set_a @ B5 @ A6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(626,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ! [C4: set_a] :
( ~ ( ord_less_eq_set_a @ B4 @ C4 )
| ( ord_less_eq_set_a @ A2 @ C4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[300]) ).
thf(627,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ( ( P @ ( sK6_X2 @ Q @ P ) )
& ~ ( Q @ ( sK6_X2 @ Q @ P ) ) )
| ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[299]) ).
thf(628,plain,
( ( ! [A2: set_a] : ( ord_less_eq_set_a @ A2 @ A2 ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(629,plain,
( ( ord_le318720350_set_a
= ( ^ [A6: set_set_a,B5: set_set_a] :
! [T: set_a] :
( ( member_set_a @ T @ A6 )
=> ( member_set_a @ T @ B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(630,plain,
( ( ord_less_eq_set_a
= ( ^ [A6: set_a,B5: set_a] :
! [T: a] :
( ( member_a @ T @ A6 )
=> ( member_a @ T @ B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(631,plain,
( ( ! [A2: set_a,B4: set_a] :
( ( A2 != B4 )
| ( ord_less_eq_set_a @ B4 @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[298]) ).
thf(632,plain,
( ( ! [A2: set_a,B4: set_a] :
( ( A2 != B4 )
| ( ord_less_eq_set_a @ A2 @ B4 ) ) )
= $true ),
inference(copy,[status(thm)],[297]) ).
thf(633,plain,
( ( ord_le318720350_set_a
= ( ^ [A6: set_set_a,B5: set_set_a] :
! [X3: set_a] :
( ( member_set_a @ X3 @ A6 )
=> ( member_set_a @ X3 @ B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(634,plain,
( ( ord_less_eq_set_a
= ( ^ [A6: set_a,B5: set_a] :
! [X3: a] :
( ( member_a @ X3 @ A6 )
=> ( member_a @ X3 @ B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(635,plain,
( ( ! [A2: set_a,B4: set_a] :
( ( A2 != B4 )
| ( ord_less_eq_set_a @ A2 @ B4 ) )
& ! [A2: set_a,B4: set_a] :
( ( A2 != B4 )
| ( ord_less_eq_set_a @ B4 @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[296]) ).
thf(636,plain,
( ( ! [A2: set_set_a,B4: set_set_a] :
( ~ ( ord_le318720350_set_a @ A2 @ B4 )
| ! [C: set_a] :
( ~ ( member_set_a @ C @ A2 )
| ( member_set_a @ C @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[295]) ).
thf(637,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ! [C: a] :
( ~ ( member_a @ C @ A2 )
| ( member_a @ C @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[294]) ).
thf(638,plain,
( ( ! [A2: set_set_a,B4: set_set_a] :
( ~ ( ord_le318720350_set_a @ A2 @ B4 )
| ! [X: set_a] :
( ~ ( member_set_a @ X @ A2 )
| ( member_set_a @ X @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[293]) ).
thf(639,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ! [X: a] :
( ~ ( member_a @ X @ A2 )
| ( member_a @ X @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[292]) ).
thf(640,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ~ ( member_a @ ( sup @ ( sK4_X2 @ A2 ) @ ( sK5_SY724 @ A2 ) ) @ ( insert_a @ ( sK4_X2 @ A2 ) @ ( insert_a @ ( sK5_SY724 @ A2 ) @ bot_bot_set_a ) ) )
| ( member_a @ ( lattic1781219155_fin_a @ sup @ A2 ) @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[291]) ).
thf(641,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [X: a] :
( ( member_a @ X @ A2 )
| ( A2 = bot_bot_set_a )
| ( ( lattic1781219155_fin_a @ sup @ ( insert_a @ X @ A2 ) )
= ( sup @ X @ ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[290]) ).
thf(642,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ~ ( member_a @ ( inf @ ( sK2_X2 @ A2 ) @ ( sK3_SY723 @ A2 ) ) @ ( insert_a @ ( sK2_X2 @ A2 ) @ ( insert_a @ ( sK3_SY723 @ A2 ) @ bot_bot_set_a ) ) )
| ( member_a @ ( lattic247676691_fin_a @ inf @ A2 ) @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[289]) ).
thf(643,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ! [X: a] :
( ( member_a @ X @ A2 )
| ( A2 = bot_bot_set_a )
| ( ( lattic247676691_fin_a @ inf @ ( insert_a @ X @ A2 ) )
= ( inf @ X @ ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[288]) ).
thf(644,plain,
( ( ! [A: set_a] : ( member_set_a @ A @ ( insert_set_a @ A @ bot_bot_set_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(645,plain,
( ( ! [A: a] : ( member_a @ A @ ( insert_a @ A @ bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(646,plain,
( ( ! [X: set_a,A2: set_set_a,B4: set_set_a] :
( ( ord_le318720350_set_a @ ( insert_set_a @ X @ A2 ) @ B4 )
= ( ( member_set_a @ X @ B4 )
& ( ord_le318720350_set_a @ A2 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(647,plain,
( ( ! [X: a,A2: set_a,B4: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ X @ A2 ) @ B4 )
= ( ( member_a @ X @ B4 )
& ( ord_less_eq_set_a @ A2 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(648,plain,
( ( ! [A: a,A2: set_a,B: a] :
( ( ( insert_a @ A @ A2 )
= ( insert_a @ B @ bot_bot_set_a ) )
= ( ( A = B )
& ( ord_less_eq_set_a @ A2 @ ( insert_a @ B @ bot_bot_set_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(649,plain,
( ( ! [B: a,A: a,A2: set_a] :
( ( ( insert_a @ B @ bot_bot_set_a )
= ( insert_a @ A @ A2 ) )
= ( ( A = B )
& ( ord_less_eq_set_a @ A2 @ ( insert_a @ B @ bot_bot_set_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(650,plain,
( ( ! [A: a,A2: set_a] :
( ( condit1627435690bove_a @ less_eq @ ( insert_a @ A @ A2 ) )
= ( condit1627435690bove_a @ less_eq @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(651,plain,
( ( ! [A: a,A2: set_a] :
( ( condit1001553558elow_a @ less_eq @ ( insert_a @ A @ A2 ) )
= ( condit1001553558elow_a @ less_eq @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(652,plain,
( ( ! [X: a] :
( ( lattic247676691_fin_a @ inf @ ( insert_a @ X @ bot_bot_set_a ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(653,plain,
( ( ! [X: a] :
( ( lattic1781219155_fin_a @ sup @ ( insert_a @ X @ bot_bot_set_a ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(654,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ( lattic247676691_fin_a @ inf @ ( insert_a @ X @ A2 ) )
= ( inf @ X @ ( lattic247676691_fin_a @ inf @ A2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[287]) ).
thf(655,plain,
( ( ! [A2: set_a] :
( ~ ( finite_finite_a @ A2 )
| ( A2 = bot_bot_set_a )
| ! [X: a] :
( ( lattic1781219155_fin_a @ sup @ ( insert_a @ X @ A2 ) )
= ( sup @ X @ ( lattic1781219155_fin_a @ sup @ A2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[286]) ).
thf(656,plain,
( ( ! [A2: set_a,X: a] :
( ~ ( ord_less_eq_set_a @ A2 @ ( insert_a @ X @ bot_bot_set_a ) )
| ( A2 = bot_bot_set_a )
| ( A2
= ( insert_a @ X @ bot_bot_set_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[285]) ).
thf(657,plain,
( ( ! [X5: set_a,A: a] :
( ( ord_less_eq_set_a @ X5 @ ( insert_a @ A @ bot_bot_set_a ) )
= ( ( X5 = bot_bot_set_a )
| ( X5
= ( insert_a @ A @ bot_bot_set_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(658,plain,
( ( ! [B: set_a,A: set_a] :
( ~ ( member_set_a @ B @ ( insert_set_a @ A @ bot_bot_set_set_a ) )
| ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[284]) ).
thf(659,plain,
( ( ! [B: a,A: a] :
( ~ ( member_a @ B @ ( insert_a @ A @ bot_bot_set_a ) )
| ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[283]) ).
thf(660,plain,
( ( ! [B: set_a,A: set_a] :
( ( member_set_a @ B @ ( insert_set_a @ A @ bot_bot_set_set_a ) )
= ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(661,plain,
( ( ! [B: a,A: a] :
( ( member_a @ B @ ( insert_a @ A @ bot_bot_set_a ) )
= ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(662,plain,
( ( ! [A: a,B: a,C: a,D: a] :
( ( ( insert_a @ A @ ( insert_a @ B @ bot_bot_set_a ) )
= ( insert_a @ C @ ( insert_a @ D @ bot_bot_set_a ) ) )
= ( ( ( A = C )
& ( B = D ) )
| ( ( A = D )
& ( B = C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(663,plain,
( ( ! [A: a,A2: set_a] :
( ( insert_a @ A @ A2 )
!= bot_bot_set_a ) )
= $true ),
inference(copy,[status(thm)],[282]) ).
thf(664,plain,
( ( ! [A: a,B: a] :
( ( ( insert_a @ A @ bot_bot_set_a )
!= ( insert_a @ B @ bot_bot_set_a ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[281]) ).
thf(665,plain,
( ( ! [A2: set_a,B4: set_a] :
( ~ ( ord_less_eq_set_a @ A2 @ B4 )
| ! [B: a] : ( ord_less_eq_set_a @ A2 @ ( insert_a @ B @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[280]) ).
thf(666,plain,
( ( ! [B4: set_a,A: a] : ( ord_less_eq_set_a @ B4 @ ( insert_a @ A @ B4 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(667,plain,
( ( ! [X: set_a,A2: set_set_a] :
( ( member_set_a @ X @ A2 )
| ! [B4: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ ( insert_set_a @ X @ B4 ) )
= ( ord_le318720350_set_a @ A2 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[279]) ).
thf(668,plain,
( ( ! [X: a,A2: set_a] :
( ( member_a @ X @ A2 )
| ! [B4: set_a] :
( ( ord_less_eq_set_a @ A2 @ ( insert_a @ X @ B4 ) )
= ( ord_less_eq_set_a @ A2 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[278]) ).
thf(669,plain,
( ( ! [C4: set_a,D2: set_a] :
( ~ ( ord_less_eq_set_a @ C4 @ D2 )
| ! [A: a] : ( ord_less_eq_set_a @ ( insert_a @ A @ C4 ) @ ( insert_a @ A @ D2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[277]) ).
thf(670,plain,
( ( ! [A: a,B: a] :
( ( A != B )
| ( ( set_atLeastAtMost_a @ less_eq @ A @ B )
= ( insert_a @ A @ bot_bot_set_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[276]) ).
thf(671,plain,
( ( ! [A: set_a,A2: set_set_a] :
( ( finite_finite_set_a @ ( insert_set_a @ A @ A2 ) )
= ( finite_finite_set_a @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(672,plain,
( ( ! [A: a,A2: set_a] :
( ( finite_finite_a @ ( insert_a @ A @ A2 ) )
= ( finite_finite_a @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(673,plain,
( ( ! [L: a,H: a,L2: a,H2: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ L @ H )
= ( set_atLeastAtMost_a @ less_eq @ L2 @ H2 ) )
= ( ( ( L = L2 )
& ( H = H2 ) )
| ( ~ ( less_eq @ L @ H )
& ~ ( less_eq @ L2 @ H2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(674,plain,
( ( ! [I: a,L: a,U: a] :
( ( member_a @ I @ ( set_atLeastAtMost_a @ less_eq @ L @ U ) )
= ( ( less_eq @ L @ I )
& ( less_eq @ I @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(675,plain,
( ( ! [A: a,B: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ A @ B )
= bot_bot_set_a )
= ( ~ ( less_eq @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(676,plain,
( ( ! [A: a,B: a] :
( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ A @ B ) )
= ( ~ ( less_eq @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(677,plain,
( ( ! [A: a,B: a] : ( condit1001553558elow_a @ less_eq @ ( set_atLeastAtMost_a @ less_eq @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(678,plain,
( ( ! [A: a,B: a] : ( condit1627435690bove_a @ less_eq @ ( set_atLeastAtMost_a @ less_eq @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(679,plain,
( ( ! [A: a,B: a,C: a,D: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ A @ B ) @ ( set_atLeastAtMost_a @ less_eq @ C @ D ) )
= ( ~ ( less_eq @ A @ B )
| ( ( less_eq @ C @ A )
& ( less_eq @ B @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(680,plain,
( ( ! [A: a] :
( ( set_atLeastAtMost_a @ less_eq @ A @ A )
= ( insert_a @ A @ bot_bot_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(681,plain,
( ( ! [A: a,B: a,C: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ A @ B )
= ( insert_a @ C @ bot_bot_set_a ) )
= ( ( A = B )
& ( B = C ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(682,plain,
( ( ! [L: a,H: a,L2: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ L @ H ) @ ( set_atLeast_a @ less_eq @ L2 ) )
= ( ~ ( less_eq @ L @ H )
| ( less_eq @ L2 @ L ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(683,plain,
( ( ! [L: a,H: a,H2: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ L @ H ) @ ( set_atMost_a @ less_eq @ H2 ) )
= ( ~ ( less_eq @ L @ H )
| ( less_eq @ H @ H2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(684,plain,
( ( ! [F: a > a > a] :
( ~ ( finite40241356em_a_a @ F )
| ! [X: a,Z: a] :
( ( F @ X @ ( F @ X @ Z ) )
= ( F @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[275]) ).
thf(685,plain,
( ( ! [A2: set_set_a] :
( ~ ( finite_finite_set_a @ A2 )
| ! [A: set_a] :
( ~ ( member_set_a @ A @ A2 )
| ( ! [SY722: set_a] :
( ~ ( member_set_a @ SY722 @ A2 )
| ~ ( ord_less_eq_set_a @ SY722 @ ( sK1_X2 @ A @ A2 ) )
| ( ( sK1_X2 @ A @ A2 )
= SY722 ) )
& ( member_set_a @ ( sK1_X2 @ A @ A2 ) @ A2 )
& ( ord_less_eq_set_a @ ( sK1_X2 @ A @ A2 ) @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[274]) ).
thf(686,plain,
( ( ( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
!= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) )
= $true ),
inference(copy,[status(thm)],[273]) ).
thf(687,plain,
( ( ! [SX0: set_a] :
( ~ ( finite_finite_a @ SX0 )
| ( SX0 = bot_bot_set_a )
| ! [SX1: a] :
( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SX0 ) @ SX1 )
= ( ! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( less_eq @ SX2 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[594]) ).
thf(688,plain,
( ( ! [SX0: a > $o,SX1: a] :
( ~ ( SX0 @ SX1 )
| ~ ( ~ ( SX0 @ ( sK35_Y2 @ SX1 @ SX0 ) )
| ~ ~ ( less_eq @ ( sK35_Y2 @ SX1 @ SX0 ) @ SX1 ) )
| ! [SX2: a > $o] :
( ~ ( ~ ( SX0 @ ( sK34_X2 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX3: a] :
( ~ ( SX0 @ SX3 )
| ( less_eq @ SX3 @ ( sK34_X2 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( SX2 @ ( sK34_X2 @ SX2 @ SX1 @ SX0 ) ) ) )
| ( SX2 @ ( greatest_a @ less_eq @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[531]) ).
thf(689,plain,
( ( ! [SX0: set_a] :
( ~ ( finite_finite_a @ SX0 )
| ( SX0 = bot_bot_set_a )
| ! [SX1: a] :
( ~ ( ~ ( member_a @ ( sK11_A4 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( less_eq @ ( sK11_A4 @ SX1 @ SX0 ) @ SX1 ) )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[595]) ).
thf(690,plain,
( ( ! [SX0: set_a] :
( ( condit1627435690bove_a @ less_eq @ SX0 )
= ( ~ ! [SX1: a] :
~ ! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( less_eq @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[549]) ).
thf(691,plain,
( ( ! [SX0: a,SX1: a,SX2: a,SX3: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SX0 @ SX1 ) @ ( set_atLeastAtMost_a @ less_eq @ SX2 @ SX3 ) )
= ( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( ~ ( less_eq @ SX2 @ SX0 )
| ~ ( less_eq @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[679]) ).
thf(692,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a,SX2: a] :
( ~ ( less_eq @ ( sup @ SX0 @ SX1 ) @ SX2 )
| ( less_eq @ SX0 @ SX2 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( less_eq @ ( sup @ SX0 @ SX1 ) @ SX2 )
| ( less_eq @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[527]) ).
thf(693,plain,
( ( ! [SX0: a,SX1: set_a,SX2: a] :
( ( ( insert_a @ SX0 @ SX1 )
= ( insert_a @ SX2 @ bot_bot_set_a ) )
= ( ~ ( ( SX0 != SX2 )
| ~ ( ord_less_eq_set_a @ SX1 @ ( insert_a @ SX2 @ bot_bot_set_a ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[648]) ).
thf(694,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)],[630]) ).
thf(695,plain,
( ( ! [SX0: set_a,SX1: set_set_a,SX2: set_set_a] :
( ( ord_le318720350_set_a @ ( insert_set_a @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( member_set_a @ SX0 @ SX2 )
| ~ ( ord_le318720350_set_a @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[646]) ).
thf(696,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ( member_a @ SX0 @ ( set_atLeastAtMost_a @ less_eq @ SX1 @ SX2 ) )
= ( ~ ( ~ ( less_eq @ SX1 @ SX0 )
| ~ ( less_eq @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[674]) ).
thf(697,plain,
( ( ord_le318720350_set_a
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
! [SX2: set_a] :
( ~ ( member_set_a @ SX2 @ SX0 )
| ( member_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[633]) ).
thf(698,plain,
( ( ! [SX0: a > set_a] :
( ( antimono_a_set_a @ less_eq @ SX0 )
= ( ! [SX1: a,SX2: a] :
( ~ ( less_eq @ SX1 @ SX2 )
| ( ord_less_eq_set_a @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[571]) ).
thf(699,plain,
( ( ! [SX0: a > $o,SX1: a] :
( ~ ( SX0 @ SX1 )
| ~ ( ~ ( SX0 @ ( sK26_Y2 @ SX1 @ SX0 ) )
| ~ ~ ( less_eq @ SX1 @ ( sK26_Y2 @ SX1 @ SX0 ) ) )
| ( ( least_a @ less_eq @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[542]) ).
thf(700,plain,
( ( ! [SX0: a > $o,SX1: a] :
( ~ ( SX0 @ SX1 )
| ~ ( ~ ( SX0 @ ( sK28_Y2 @ SX1 @ SX0 ) )
| ~ ~ ( less_eq @ SX1 @ ( sK28_Y2 @ SX1 @ SX0 ) ) )
| ! [SX2: a > $o] :
( ~ ( ~ ( SX0 @ ( sK27_X2 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX3: a] :
( ~ ( SX0 @ SX3 )
| ( less_eq @ ( sK27_X2 @ SX2 @ SX1 @ SX0 ) @ SX3 ) )
| ~ ~ ( SX2 @ ( sK27_X2 @ SX2 @ SX1 @ SX0 ) ) ) )
| ( SX2 @ ( least_a @ less_eq @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[541]) ).
thf(701,plain,
( ( ( ^ [SX0: a,SX1: a] : ( SX0 = SX1 ) )
= ( ^ [SX0: a,SX1: a] :
~ ( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(702,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ( less_eq @ ( sup @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( less_eq @ SX0 @ SX2 )
| ~ ( less_eq @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[537]) ).
thf(703,plain,
( ( ! [SX0: a > $o,SX1: a] :
( ~ ( SX0 @ SX1 )
| ~ ( ~ ( SX0 @ ( sK33_Y2 @ SX1 @ SX0 ) )
| ~ ~ ( less_eq @ ( sK33_Y2 @ SX1 @ SX0 ) @ SX1 ) )
| ( ( greatest_a @ less_eq @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[532]) ).
thf(704,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( max_a @ less_eq @ SX0 @ SX1 )
= SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ( less_eq @ SX0 @ SX1 )
| ( ( max_a @ less_eq @ SX0 @ SX1 )
= SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[533]) ).
thf(705,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ( less_eq @ ( sup @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( less_eq @ SX0 @ SX2 )
| ~ ( less_eq @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[538]) ).
thf(706,plain,
( ( ! [SX0: a > a > a] :
( ~ ( less_eq @ ( SX0 @ ( sK48_X2 @ SX0 ) @ ( sK49_SY747 @ SX0 ) ) @ ( sK48_X2 @ SX0 ) )
| ~ ( less_eq @ ( SX0 @ ( sK46_X2 @ SX0 ) @ ( sK47_SY746 @ SX0 ) ) @ ( sK47_SY746 @ SX0 ) )
| ~ ( ~ ( less_eq @ ( sK43_X2 @ SX0 ) @ ( sK44_SY743 @ SX0 ) )
| ~ ~ ( ~ ( less_eq @ ( sK43_X2 @ SX0 ) @ ( sK45_SY745 @ SX0 ) )
| ~ ~ ( less_eq @ ( sK43_X2 @ SX0 ) @ ( SX0 @ ( sK44_SY743 @ SX0 ) @ ( sK45_SY745 @ SX0 ) ) ) ) )
| ! [SX1: a,SX2: a] :
( ( inf @ SX1 @ SX2 )
= ( SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[483]) ).
thf(707,plain,
( ( ! [SX0: set_a] :
( ! [SX1: a] :
~ ( ~ ( member_a @ ( sK25_X2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( less_eq @ SX1 @ ( sK25_X2 @ SX1 @ SX0 ) ) )
| ( condit1001553558elow_a @ less_eq @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[552]) ).
thf(708,plain,
( ( ( ^ [SX0: a,SX1: a] : ( SX0 = SX1 ) )
= ( ^ [SX0: a,SX1: a] :
~ ( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(709,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a] :
( ! [SX2: a] :
~ ( less_eq @ SX0 @ ( inf @ SX1 @ SX2 ) )
| ( less_eq @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ ( inf @ SX1 @ SX2 ) )
| ( less_eq @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[498]) ).
thf(710,plain,
( ( ! [SX0: a > $o] :
( ! [SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( SX0 @ SX2 )
| ( less_eq @ ( sK30_Y2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ( SX0 @ ( sK30_Y2 @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK30_Y2 @ SX1 @ SX0 )
!= SX1 ) ) )
| ~ ( ~ ( SX0 @ ( sK29_Y2 @ SX1 @ SX0 ) )
| ~ ~ ( less_eq @ SX1 @ ( sK29_Y2 @ SX1 @ SX0 ) ) )
| ~ ( SX0 @ SX1 ) )
| ! [SX1: a] :
( ~ ( SX0 @ SX1 )
| ( less_eq @ ( least_a @ less_eq @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[540]) ).
thf(711,plain,
( ( ! [SX0: a > $o] :
( ! [SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a] :
( ~ ( SX0 @ SX2 )
| ( less_eq @ ( sK32_Y2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ( SX0 @ ( sK32_Y2 @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK32_Y2 @ SX1 @ SX0 )
!= SX1 ) ) )
| ~ ( ~ ( SX0 @ ( sK31_Y2 @ SX1 @ SX0 ) )
| ~ ~ ( less_eq @ SX1 @ ( sK31_Y2 @ SX1 @ SX0 ) ) )
| ~ ( SX0 @ SX1 ) )
| ( SX0 @ ( least_a @ less_eq @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[539]) ).
thf(712,plain,
( ( ! [SX0: set_a] :
( ~ ( finite_finite_a @ SX0 )
| ( SX0 = bot_bot_set_a )
| ~ ( ~ ! [SX1: a] :
( ~ ( member_a @ SX1 @ SX0 )
| ~ ( less_eq @ SX1 @ ( sK14_X2 @ SX0 ) )
| ( ( sK14_X2 @ SX0 )
= SX1 ) )
| ~ ( member_a @ ( sK14_X2 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[587]) ).
thf(713,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a,SX2: a] :
( ~ ( less_eq @ ( sup @ SX0 @ SX1 ) @ SX2 )
| ( less_eq @ SX0 @ SX2 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( less_eq @ ( sup @ SX0 @ SX1 ) @ SX2 )
| ( less_eq @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[519]) ).
thf(714,plain,
( ( ! [SX0: a > $o,SX1: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ SX0 ) @ ( collect_a @ SX1 ) )
= ( ! [SX2: a] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[624]) ).
thf(715,plain,
( ( ! [SX0: set_a] :
( ~ ( finite_finite_a @ SX0 )
| ! [SX1: a] :
( ~ ( member_a @ SX1 @ SX0 )
| ~ ( ~ ! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ~ ( less_eq @ SX2 @ ( sK19_X2 @ SX1 @ SX0 ) )
| ( ( sK19_X2 @ SX1 @ SX0 )
= SX2 ) )
| ~ ~ ( ~ ( less_eq @ ( sK19_X2 @ SX1 @ SX0 ) @ SX1 )
| ~ ( member_a @ ( sK19_X2 @ SX1 @ SX0 ) @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[567]) ).
thf(716,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ( less_eq @ SX0 @ ( inf @ SX1 @ SX2 ) )
= ( ~ ( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[536]) ).
thf(717,plain,
( ( ( ^ [SX0: a,SX1: a] : ( SX0 = SX1 ) )
= ( ^ [SX0: a,SX1: a] :
~ ( ~ ( less_eq @ SX1 @ SX0 )
| ~ ( less_eq @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(718,plain,
( ( ! [SX0: a > set_a] :
( ( mono_a_set_a @ less_eq @ SX0 )
= ( ! [SX1: a,SX2: a] :
( ~ ( less_eq @ SX1 @ SX2 )
| ( ord_less_eq_set_a @ ( SX0 @ SX1 ) @ ( SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[575]) ).
thf(719,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a] :
( ~ ( ~ ( member_set_a @ ( sK10_X2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member_set_a @ ( sK10_X2 @ SX1 @ SX0 ) @ SX1 ) )
| ( ord_le318720350_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[609]) ).
thf(720,plain,
( ( ! [SX0: set_a] :
( ~ ( finite_finite_a @ SX0 )
| ! [SX1: a] :
( ~ ( member_a @ SX1 @ SX0 )
| ~ ( ~ ! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ~ ( less_eq @ ( sK20_X2 @ SX1 @ SX0 ) @ SX2 )
| ( ( sK20_X2 @ SX1 @ SX0 )
= SX2 ) )
| ~ ~ ( ~ ( less_eq @ SX1 @ ( sK20_X2 @ SX1 @ SX0 ) )
| ~ ( member_a @ ( sK20_X2 @ SX1 @ SX0 ) @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[566]) ).
thf(721,plain,
( ( ! [SX0: set_set_a] :
( ( ~ ! [SX1: set_a] :
~ ( member_set_a @ SX1 @ SX0 ) )
= ( ( SX0 != bot_bot_set_set_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[616]) ).
thf(722,plain,
( ( ! [SX0: a > set_a] :
( ~ ( ~ ( less_eq @ ( sK15_X2 @ SX0 ) @ ( sK16_SY727 @ SX0 ) )
| ~ ~ ( ord_less_eq_set_a @ ( SX0 @ ( sK15_X2 @ SX0 ) ) @ ( SX0 @ ( sK16_SY727 @ SX0 ) ) ) )
| ( mono_a_set_a @ less_eq @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[574]) ).
thf(723,plain,
( ( ( ^ [SX0: set_a,SX1: set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_a,SX1: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[625]) ).
thf(724,plain,
( ( ord_le318720350_set_a
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
! [SX2: set_a] :
( ~ ( member_set_a @ SX2 @ SX0 )
| ( member_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[629]) ).
thf(725,plain,
( ( ! [SX0: a > a > a] :
( ~ ( less_eq @ ( sK41_X2 @ SX0 ) @ ( SX0 @ ( sK41_X2 @ SX0 ) @ ( sK42_SY742 @ SX0 ) ) )
| ~ ( less_eq @ ( sK40_SY741 @ SX0 ) @ ( SX0 @ ( sK39_X2 @ SX0 ) @ ( sK40_SY741 @ SX0 ) ) )
| ~ ( ~ ( less_eq @ ( sK37_SY738 @ SX0 ) @ ( sK36_X2 @ SX0 ) )
| ~ ~ ( ~ ( less_eq @ ( sK38_SY740 @ SX0 ) @ ( sK36_X2 @ SX0 ) )
| ~ ~ ( less_eq @ ( SX0 @ ( sK37_SY738 @ SX0 ) @ ( sK38_SY740 @ SX0 ) ) @ ( sK36_X2 @ SX0 ) ) ) )
| ! [SX1: a,SX2: a] :
( ( sup @ SX1 @ SX2 )
= ( SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[503]) ).
thf(726,plain,
( ( ! [SX0: set_a] :
( ! [SX1: a] :
~ ( ~ ( member_a @ ( sK24_X2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( less_eq @ ( sK24_X2 @ SX1 @ SX0 ) @ SX1 ) )
| ( condit1627435690bove_a @ less_eq @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[553]) ).
thf(727,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a] :
( ! [SX2: a] :
~ ( less_eq @ SX0 @ ( inf @ SX1 @ SX2 ) )
| ( less_eq @ SX0 @ SX1 ) )
| ~ ! [SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ ( inf @ SX1 @ SX2 ) )
| ( less_eq @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[481]) ).
thf(728,plain,
( ( ! [SX0: a > set_a] :
( ~ ( ~ ( less_eq @ ( sK17_X2 @ SX0 ) @ ( sK18_SY728 @ SX0 ) )
| ~ ~ ( ord_less_eq_set_a @ ( SX0 @ ( sK18_SY728 @ SX0 ) ) @ ( SX0 @ ( sK17_X2 @ SX0 ) ) ) )
| ( antimono_a_set_a @ less_eq @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[570]) ).
thf(729,plain,
( ( ! [SX0: a,SX1: a,SX2: a,SX3: a] :
( ( ( insert_a @ SX0 @ ( insert_a @ SX1 @ bot_bot_set_a ) )
= ( insert_a @ SX2 @ ( insert_a @ SX3 @ bot_bot_set_a ) ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ~ ( ( SX0 != SX3 )
| ( SX1 != SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[662]) ).
thf(730,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)],[647]) ).
thf(731,plain,
( ( ! [SX0: a,SX1: a,SX2: set_a] :
( ( ( insert_a @ SX0 @ bot_bot_set_a )
= ( insert_a @ SX1 @ SX2 ) )
= ( ~ ( ( SX1 != SX0 )
| ~ ( ord_less_eq_set_a @ SX2 @ ( insert_a @ SX0 @ bot_bot_set_a ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[649]) ).
thf(732,plain,
( ( ~ ( ~ ! [SX0: set_a,SX1: set_a] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_a @ SX0 @ SX1 ) )
| ~ ! [SX0: set_a,SX1: set_a] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[635]) ).
thf(733,plain,
( ( ! [SX0: set_a] :
( ~ ( finite_finite_a @ SX0 )
| ( SX0 = bot_bot_set_a )
| ! [SX1: a] :
( ~ ( ~ ( member_a @ ( sK12_A4 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( less_eq @ SX1 @ ( sK12_A4 @ SX1 @ SX0 ) ) )
| ( less_eq @ SX1 @ ( lattic247676691_fin_a @ inf @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[592]) ).
thf(734,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ SX0 @ SX1 )
= ( insert_a @ SX2 @ bot_bot_set_a ) )
= ( ~ ( ( SX0 != SX1 )
| ( SX1 != SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[681]) ).
thf(735,plain,
( ( ! [SX0: set_set_a] :
( ~ ( finite_finite_set_a @ SX0 )
| ! [SX1: set_a] :
( ~ ( member_set_a @ SX1 @ SX0 )
| ~ ( ~ ! [SX2: set_a] :
( ~ ( member_set_a @ SX2 @ SX0 )
| ~ ( ord_less_eq_set_a @ SX2 @ ( sK1_X2 @ SX1 @ SX0 ) )
| ( ( sK1_X2 @ SX1 @ SX0 )
= SX2 ) )
| ~ ~ ( ~ ( member_set_a @ ( sK1_X2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( ord_less_eq_set_a @ ( sK1_X2 @ SX1 @ SX0 ) @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[685]) ).
thf(736,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ( less_eq @ SX0 @ ( inf @ SX1 @ SX2 ) )
= ( ~ ( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[535]) ).
thf(737,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ( ~ ( member_a @ ( sK9_X2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member_a @ ( sK9_X2 @ SX1 @ SX0 ) @ SX1 ) )
| ( ord_less_eq_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[610]) ).
thf(738,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( min_a @ less_eq @ SX0 @ SX1 )
= SX0 ) )
| ~ ! [SX0: a,SX1: a] :
( ( less_eq @ SX0 @ SX1 )
| ( ( min_a @ less_eq @ SX0 @ SX1 )
= SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[534]) ).
thf(739,plain,
( ( ! [SX0: set_a] :
( ~ ( finite_finite_a @ SX0 )
| ( SX0 = bot_bot_set_a )
| ! [SX1: a] :
( ( less_eq @ SX1 @ ( lattic247676691_fin_a @ inf @ SX0 ) )
= ( ! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( less_eq @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[591]) ).
thf(740,plain,
( ( ! [SX0: a,SX1: a,SX2: a,SX3: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ SX0 @ SX1 )
= ( set_atLeastAtMost_a @ less_eq @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ~ ( ~ ~ ( less_eq @ SX0 @ SX1 )
| ~ ~ ( less_eq @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[673]) ).
thf(741,plain,
( ( ! [SX0: set_a] :
( ( ~ ! [SX1: a] :
~ ( member_a @ SX1 @ SX0 ) )
= ( ( SX0 != bot_bot_set_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[617]) ).
thf(742,plain,
( ( ! [SX0: set_a] :
( ( condit1001553558elow_a @ less_eq @ SX0 )
= ( ~ ! [SX1: a] :
~ ! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( less_eq @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[550]) ).
thf(743,plain,
( ( ! [SX0: a > $o,SX1: a > $o] :
( ~ ( ~ ( SX0 @ ( sK6_X2 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK6_X2 @ SX1 @ SX0 ) ) )
| ( ord_less_eq_set_a @ ( collect_a @ SX0 ) @ ( collect_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[627]) ).
thf(744,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)],[634]) ).
thf(745,plain,
( ( ! [SX0: set_a] :
( ~ ( finite_finite_a @ SX0 )
| ( SX0 = bot_bot_set_a )
| ~ ( ~ ! [SX1: a] :
( ~ ( member_a @ SX1 @ SX0 )
| ~ ( less_eq @ ( sK13_X2 @ SX0 ) @ SX1 )
| ( ( sK13_X2 @ SX0 )
= SX1 ) )
| ~ ( member_a @ ( sK13_X2 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[588]) ).
thf(746,plain,
! [SV1: a] :
( ( ! [SY754: a,SY755: a] :
( ( inf @ ( inf @ SV1 @ SY754 ) @ SY755 )
= ( inf @ SV1 @ ( inf @ SY754 @ SY755 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(747,plain,
! [SV2: a] :
( ( ! [SY756: a] :
( ( inf @ SV2 @ SY756 )
= ( inf @ SY756 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(748,plain,
! [SV3: a] :
( ( ! [SY757: a,SY758: a] :
( ( inf @ SV3 @ ( inf @ SY757 @ SY758 ) )
= ( inf @ SY757 @ ( inf @ SV3 @ SY758 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(749,plain,
! [SV4: a] :
( ( ! [SY759: a,SY760: a] :
( ( inf @ ( inf @ SV4 @ SY759 ) @ SY760 )
= ( inf @ SV4 @ ( inf @ SY759 @ SY760 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(750,plain,
! [SV5: a] :
( ( ! [SY761: a] :
( ( inf @ SV5 @ SY761 )
= ( inf @ SY761 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(751,plain,
! [SV6: a] :
( ( ! [SY762: a,SY763: a] :
( ( inf @ SV6 @ ( inf @ SY762 @ SY763 ) )
= ( inf @ SY762 @ ( inf @ SV6 @ SY763 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(752,plain,
! [SV7: a] :
( ( ! [SY764: a,SY765: a] :
( ( sup @ ( sup @ SV7 @ SY764 ) @ SY765 )
= ( sup @ SV7 @ ( sup @ SY764 @ SY765 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(753,plain,
! [SV8: a] :
( ( ! [SY766: a] :
( ( sup @ SV8 @ SY766 )
= ( sup @ SY766 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(754,plain,
! [SV9: a] :
( ( ! [SY767: a,SY768: a] :
( ( sup @ SV9 @ ( sup @ SY767 @ SY768 ) )
= ( sup @ SY767 @ ( sup @ SV9 @ SY768 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(755,plain,
! [SV10: a] :
( ( ! [SY769: a,SY770: a] :
( ( sup @ ( sup @ SV10 @ SY769 ) @ SY770 )
= ( sup @ SV10 @ ( sup @ SY769 @ SY770 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(756,plain,
! [SV11: a] :
( ( ! [SY771: a] :
( ( sup @ SV11 @ SY771 )
= ( sup @ SY771 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(757,plain,
! [SV12: a] :
( ( ! [SY772: a,SY773: a] :
( ( sup @ SV12 @ ( sup @ SY772 @ SY773 ) )
= ( sup @ SY772 @ ( sup @ SV12 @ SY773 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(758,plain,
! [SV13: a] :
( ( ( ( inf @ ( sK54_X2 @ SV13 ) @ ( sup @ ( sK55_SY751 @ SV13 ) @ ( sK56_SY753 @ SV13 ) ) )
!= ( sup @ ( inf @ ( sK54_X2 @ SV13 ) @ ( sK55_SY751 @ SV13 ) ) @ ( inf @ ( sK54_X2 @ SV13 ) @ ( sK56_SY753 @ SV13 ) ) ) )
| ! [SY774: a,SY775: a] :
( ( sup @ SV13 @ ( inf @ SY774 @ SY775 ) )
= ( inf @ ( sup @ SV13 @ SY774 ) @ ( sup @ SV13 @ SY775 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(759,plain,
! [SV14: a] :
( ( ( ( sup @ ( sK51_X2 @ SV14 ) @ ( inf @ ( sK52_SY748 @ SV14 ) @ ( sK53_SY750 @ SV14 ) ) )
!= ( inf @ ( sup @ ( sK51_X2 @ SV14 ) @ ( sK52_SY748 @ SV14 ) ) @ ( sup @ ( sK51_X2 @ SV14 ) @ ( sK53_SY750 @ SV14 ) ) ) )
| ! [SY776: a,SY777: a] :
( ( inf @ SV14 @ ( sup @ SY776 @ SY777 ) )
= ( sup @ ( inf @ SV14 @ SY776 ) @ ( inf @ SV14 @ SY777 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(760,plain,
! [SV15: a] :
( ( ! [SY778: a,SY779: a] :
( ( modula1144073633_aux_a @ inf @ sup @ SV15 @ SY778 @ SY779 )
= ( inf @ ( inf @ ( sup @ SV15 @ SY778 ) @ ( sup @ SY778 @ SY779 ) ) @ ( sup @ SY779 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(761,plain,
! [SV16: a] :
( ( ( inf @ SV16 @ SV16 )
= SV16 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(762,plain,
! [SV17: a] :
( ( ! [SY780: a] :
( ( inf @ SV17 @ ( inf @ SV17 @ SY780 ) )
= ( inf @ SV17 @ SY780 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(763,plain,
! [SV18: a] :
( ( ! [SY781: a] :
( ( inf @ ( inf @ SV18 @ SY781 ) @ SY781 )
= ( inf @ SV18 @ SY781 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(764,plain,
! [SV19: a] :
( ( ( inf @ SV19 @ SV19 )
= SV19 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(765,plain,
! [SV20: a] :
( ( ! [SY782: a] :
( ( inf @ SV20 @ ( inf @ SV20 @ SY782 ) )
= ( inf @ SV20 @ SY782 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(766,plain,
! [SV21: a] :
( ( ! [SY783: a] :
( ( inf @ ( inf @ SV21 @ SY783 ) @ SY783 )
= ( inf @ SV21 @ SY783 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(767,plain,
! [SV22: a] :
( ( ( sup @ SV22 @ SV22 )
= SV22 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(768,plain,
! [SV23: a] :
( ( ! [SY784: a] :
( ( sup @ SV23 @ ( sup @ SV23 @ SY784 ) )
= ( sup @ SV23 @ SY784 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(769,plain,
! [SV24: a] :
( ( ! [SY785: a] :
( ( sup @ ( sup @ SV24 @ SY785 ) @ SY785 )
= ( sup @ SV24 @ SY785 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(770,plain,
! [SV25: a] :
( ( ( sup @ SV25 @ SV25 )
= SV25 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(771,plain,
! [SV26: a] :
( ( ! [SY786: a] :
( ( sup @ SV26 @ ( sup @ SV26 @ SY786 ) )
= ( sup @ SV26 @ SY786 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(772,plain,
! [SV27: a] :
( ( ! [SY787: a] :
( ( inf @ SV27 @ ( sup @ SV27 @ SY787 ) )
= SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(773,plain,
! [SV28: a] :
( ( ! [SY788: a] :
( ( sup @ SV28 @ ( inf @ SV28 @ SY788 ) )
= SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(774,plain,
! [SV29: a] :
( ( ! [SY789: a,SY790: a] :
( ( modula1936294176_aux_a @ inf @ sup @ SV29 @ SY789 @ SY790 )
= ( sup @ ( sup @ ( inf @ SV29 @ SY789 ) @ ( inf @ SY789 @ SY790 ) ) @ ( inf @ SY790 @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(775,plain,
! [SV30: a] :
( ( ! [SY791: a,SY792: a] :
( ( modula1936294176_aux_a @ inf @ sup @ SV30 @ SY791 @ SY792 )
= ( modula1936294176_aux_a @ inf @ sup @ SY792 @ SV30 @ SY791 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(776,plain,
! [SV31: a] :
( ( ! [SY793: a,SY794: a] :
( ( modula1936294176_aux_a @ inf @ sup @ SV31 @ SY793 @ SY794 )
= ( modula1936294176_aux_a @ inf @ sup @ SY793 @ SY794 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(777,plain,
! [SV32: a] :
( ( ! [SY795: a,SY796: a] : ( less_eq @ ( sup @ ( inf @ SV32 @ SY795 ) @ ( inf @ SV32 @ SY796 ) ) @ ( inf @ SV32 @ ( sup @ SY795 @ SY796 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(778,plain,
! [SV33: a] :
( ( ! [SY797: a,SY798: a] : ( less_eq @ ( sup @ SV33 @ ( inf @ SY797 @ SY798 ) ) @ ( inf @ ( sup @ SV33 @ SY797 ) @ ( sup @ SV33 @ SY798 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(779,plain,
! [SV34: a] :
( ( ! [SY799: a] :
( ~ ( less_eq @ SV34 @ SY799 )
| ~ ( less_eq @ SY799 @ SV34 )
| ( SV34 = SY799 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(780,plain,
! [SV35: set_a] :
( ( ! [SY800: set_a > $o] :
( ( member_set_a @ SV35 @ ( collect_set_a @ SY800 ) )
= ( SY800 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(781,plain,
! [SV36: a] :
( ( ! [SY801: a > $o] :
( ( member_a @ SV36 @ ( collect_a @ SY801 ) )
= ( SY801 @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(782,plain,
! [SV37: set_set_a] :
( ( ( collect_set_a
@ ^ [SY802: set_a] : ( member_set_a @ SY802 @ SV37 ) )
= SV37 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(783,plain,
! [SV38: set_a] :
( ( ( collect_a
@ ^ [SY803: a] : ( member_a @ SY803 @ SV38 ) )
= SV38 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(784,plain,
! [SV39: a > $o] :
( ( ! [SY804: a > $o] :
( ( ( SV39 @ ( sK50_X2 @ SY804 @ SV39 ) )
!= ( SY804 @ ( sK50_X2 @ SY804 @ SV39 ) ) )
| ( ( collect_a @ SV39 )
= ( collect_a @ SY804 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(785,plain,
! [SV40: a] :
( ( ! [SY805: a] :
( ~ ( less_eq @ SV40 @ SY805 )
| ( ( less_eq @ SY805 @ SV40 )
= ( SY805 = SV40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(786,plain,
! [SV41: a] :
( ( ! [SY806: a] :
( ~ ( less_eq @ SV41 @ SY806 )
| ~ ( less_eq @ SY806 @ SV41 )
| ( SY806 = SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(787,plain,
! [SV42: a] :
( ( ! [SY807: a] :
( ~ ( less_eq @ SV42 @ SY807 )
| ! [SY808: a] :
( ~ ( less_eq @ SY808 @ SV42 )
| ( less_eq @ SY808 @ SY807 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(788,plain,
! [SV43: a] :
( ( ! [SY809: a] :
( ( SV43 != SY809 )
| ( less_eq @ SV43 @ SY809 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(789,plain,
! [SV44: a] :
( ( ! [SY810: a] :
( ( SV44 != SY810 )
| ! [SY811: a] :
( ~ ( less_eq @ SY810 @ SY811 )
| ( less_eq @ SV44 @ SY811 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(790,plain,
! [SV45: a] :
( ( ! [SY812: a] :
( ~ ( less_eq @ SV45 @ SY812 )
| ! [SY813: a] :
( ( SY812 != SY813 )
| ( less_eq @ SV45 @ SY813 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(791,plain,
! [SV46: a] :
( ( ! [SY814: a] :
( ~ ( less_eq @ SV46 @ SY814 )
| ~ ( less_eq @ SY814 @ SV46 )
| ( SV46 = SY814 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(792,plain,
! [SV47: a] :
( ( ! [SY815: a] :
( ~ ( less_eq @ SV47 @ SY815 )
| ! [SY816: a] :
( ~ ( less_eq @ SY815 @ SY816 )
| ( less_eq @ SV47 @ SY816 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(793,plain,
! [SV48: a] :
( ( ! [SY817: a] :
( ~ ( less_eq @ SV48 @ SY817 )
| ! [SY818: a] :
( ~ ( less_eq @ SY817 @ SY818 )
| ( less_eq @ SV48 @ SY818 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(794,plain,
! [SV49: a] :
( ( ! [SY819: a] :
( ~ ( less_eq @ SV49 @ SY819 )
| ! [SY820: a] : ( less_eq @ ( inf @ SY820 @ SV49 ) @ SY819 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(795,plain,
! [SV50: a] :
( ( ! [SY821: a] :
( ~ ( less_eq @ SV50 @ SY821 )
| ! [SY822: a] : ( less_eq @ ( inf @ SV50 @ SY822 ) @ SY821 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(796,plain,
! [SV51: a] :
( ( ! [SY823: a] :
( ~ ( less_eq @ SV51 @ SY823 )
| ! [SY824: a] :
( ~ ( less_eq @ SV51 @ SY824 )
| ( less_eq @ SV51 @ ( inf @ SY823 @ SY824 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(797,plain,
! [SV52: a] :
( ( ! [SY825: a] :
( ( less_eq @ SV52 @ SY825 )
= ( ( inf @ SV52 @ SY825 )
= SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(798,plain,
! [SV53: a] :
( ( ! [SY826: a] :
( ~ ( less_eq @ SV53 @ SY826 )
| ! [SY827: a,SY828: a] :
( ~ ( less_eq @ SY827 @ SY828 )
| ( less_eq @ ( inf @ SV53 @ SY827 ) @ ( inf @ SY826 @ SY828 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(799,plain,
! [SV54: a] :
( ( ! [SY829: a] : ( less_eq @ ( inf @ SV54 @ SY829 ) @ SY829 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(800,plain,
! [SV55: a] :
( ( ! [SY830: a] : ( less_eq @ ( inf @ SV55 @ SY830 ) @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(801,plain,
! [SV56: a] :
( ( ! [SY831: a] :
( ~ ( less_eq @ SV56 @ SY831 )
| ! [SY832: a] :
( ~ ( less_eq @ SV56 @ SY832 )
| ( less_eq @ SV56 @ ( inf @ SY831 @ SY832 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(802,plain,
! [SV57: a] :
( ( ! [SY833: a] :
( ~ ( less_eq @ SV57 @ SY833 )
| ( ( inf @ SY833 @ SV57 )
= SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(803,plain,
! [SV58: a] :
( ( ! [SY834: a] :
( ~ ( less_eq @ SV58 @ SY834 )
| ( ( inf @ SV58 @ SY834 )
= SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(804,plain,
! [SV59: a] :
( ( ! [SY835: a] :
( ( less_eq @ SV59 @ SY835 )
= ( SV59
= ( inf @ SV59 @ SY835 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(805,plain,
! [SV60: a] :
( ( ! [SY836: a] :
( ( SV60
!= ( inf @ SV60 @ SY836 ) )
| ( less_eq @ SV60 @ SY836 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(806,plain,
! [SV61: a] :
( ( ! [SY837: a] :
( ~ ( less_eq @ SV61 @ SY837 )
| ( SV61
= ( inf @ SV61 @ SY837 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(807,plain,
! [SV62: a] :
( ( ! [SY838: a] :
( ~ ( less_eq @ SV62 @ SY838 )
| ! [SY839: a] : ( less_eq @ ( inf @ SY839 @ SV62 ) @ SY838 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(808,plain,
! [SV63: a] :
( ( ! [SY840: a] :
( ~ ( less_eq @ SV63 @ SY840 )
| ! [SY841: a] : ( less_eq @ ( inf @ SV63 @ SY841 ) @ SY840 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(809,plain,
! [SV64: a] :
( ( ! [SY842: a] : ( less_eq @ ( inf @ SV64 @ SY842 ) @ SY842 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(810,plain,
! [SV65: a] :
( ( ! [SY843: a] : ( less_eq @ ( inf @ SV65 @ SY843 ) @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(811,plain,
! [SV66: a] :
( ( ! [SY844: a] :
( ~ ( less_eq @ SV66 @ SY844 )
| ! [SY845: a] :
( ~ ( less_eq @ SV66 @ SY845 )
| ( less_eq @ SV66 @ ( inf @ SY844 @ SY845 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(812,plain,
! [SV67: a] :
( ( ! [SY846: a] :
( ( less_eq @ SV67 @ SY846 )
= ( ( inf @ SY846 @ SV67 )
= SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(813,plain,
! [SV68: a] :
( ( ! [SY847: a] :
( ( less_eq @ SV68 @ SY847 )
= ( ( inf @ SV68 @ SY847 )
= SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(814,plain,
! [SV69: a] :
( ( ! [SY848: a] :
( ~ ( less_eq @ SV69 @ SY848 )
| ( ( inf @ SY848 @ SV69 )
= SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(815,plain,
! [SV70: a] :
( ( ! [SY849: a] :
( ~ ( less_eq @ SV70 @ SY849 )
| ( ( inf @ SV70 @ SY849 )
= SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(816,plain,
! [SV71: a] :
( ( ! [SY850: a] :
( ~ ( less_eq @ SV71 @ SY850 )
| ! [SY851: a,SY852: a] :
( ~ ( less_eq @ SY851 @ SY852 )
| ( less_eq @ ( sup @ SV71 @ SY851 ) @ ( sup @ SY850 @ SY852 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(817,plain,
! [SV72: a] :
( ( ! [SY853: a] :
( ~ ( less_eq @ SV72 @ SY853 )
| ! [SY854: a] :
( ~ ( less_eq @ SY854 @ SY853 )
| ( less_eq @ ( sup @ SV72 @ SY854 ) @ SY853 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(818,plain,
! [SV73: a] :
( ( ! [SY855: a] : ( less_eq @ SV73 @ ( sup @ SY855 @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(819,plain,
! [SV74: a] :
( ( ! [SY856: a] : ( less_eq @ SV74 @ ( sup @ SV74 @ SY856 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(820,plain,
! [SV75: a] :
( ( ! [SY857: a] :
( ~ ( less_eq @ SV75 @ SY857 )
| ( ( sup @ SV75 @ SY857 )
= SY857 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(821,plain,
! [SV76: a] :
( ( ! [SY858: a] :
( ~ ( less_eq @ SV76 @ SY858 )
| ( ( sup @ SY858 @ SV76 )
= SY858 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(822,plain,
! [SV77: a] :
( ( ! [SY859: a] :
( ( less_eq @ SV77 @ SY859 )
= ( SY859
= ( sup @ SY859 @ SV77 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(823,plain,
! [SV78: a] :
( ( ! [SY860: a] :
( ( SV78
!= ( sup @ SV78 @ SY860 ) )
| ( less_eq @ SY860 @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(824,plain,
! [SV79: a] :
( ( ! [SY861: a] :
( ~ ( less_eq @ SV79 @ SY861 )
| ( SY861
= ( sup @ SY861 @ SV79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(825,plain,
! [SV80: a] :
( ( ! [SY862: a] :
( ~ ( less_eq @ SV80 @ SY862 )
| ! [SY863: a,SY864: a] :
( ~ ( less_eq @ SY863 @ SY864 )
| ( less_eq @ ( sup @ SV80 @ SY863 ) @ ( sup @ SY862 @ SY864 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(826,plain,
! [SV81: a] :
( ( ! [SY865: a] :
( ~ ( less_eq @ SV81 @ SY865 )
| ! [SY866: a] : ( less_eq @ SV81 @ ( sup @ SY866 @ SY865 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(827,plain,
! [SV82: a] :
( ( ! [SY867: a] :
( ~ ( less_eq @ SV82 @ SY867 )
| ! [SY868: a] : ( less_eq @ SV82 @ ( sup @ SY867 @ SY868 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(828,plain,
! [SV83: a] :
( ( ! [SY869: a] : ( less_eq @ SV83 @ ( sup @ SY869 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(829,plain,
! [SV84: a] :
( ( ! [SY870: a] : ( less_eq @ SV84 @ ( sup @ SV84 @ SY870 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(830,plain,
! [SV85: a] :
( ( ! [SY871: a] :
( ~ ( less_eq @ SV85 @ SY871 )
| ! [SY872: a] :
( ~ ( less_eq @ SY872 @ SY871 )
| ( less_eq @ ( sup @ SV85 @ SY872 ) @ SY871 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(831,plain,
! [SV86: a] :
( ( ! [SY873: a] :
( ( less_eq @ SV86 @ SY873 )
= ( ( sup @ SV86 @ SY873 )
= SY873 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(832,plain,
! [SV87: a] :
( ( ! [SY874: a] :
( ( less_eq @ SV87 @ SY874 )
= ( ( sup @ SY874 @ SV87 )
= SY874 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(833,plain,
! [SV88: a] :
( ( ! [SY875: a] :
( ~ ( less_eq @ SV88 @ SY875 )
| ( ( sup @ SV88 @ SY875 )
= SY875 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(834,plain,
! [SV89: a] :
( ( ! [SY876: a] :
( ~ ( less_eq @ SV89 @ SY876 )
| ( ( sup @ SY876 @ SV89 )
= SY876 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(835,plain,
! [SV90: a] :
( ( ! [SY877: a] :
( ~ ( less_eq @ SV90 @ SY877 )
| ! [SY878: a] : ( less_eq @ SV90 @ ( sup @ SY878 @ SY877 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(836,plain,
! [SV91: a] :
( ( ! [SY879: a] :
( ~ ( less_eq @ SV91 @ SY879 )
| ! [SY880: a] : ( less_eq @ SV91 @ ( sup @ SY879 @ SY880 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(837,plain,
! [SV92: a] :
( ( ! [SY881: a] :
( ~ ( less_eq @ SV92 @ SY881 )
| ! [SY882: a] :
( ~ ( less_eq @ SY882 @ SY881 )
| ( less_eq @ ( sup @ SV92 @ SY882 ) @ SY881 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(838,plain,
! [SV93: a] :
( ( ! [SY883: a] :
( ( less_eq @ SV93 @ SY883 )
= ( ( sup @ SV93 @ SY883 )
= SY883 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(839,plain,
! [SV94: a] :
( ( less_eq @ SV94 @ SV94 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(840,plain,
! [SV95: a] :
( ( less_eq @ SV95 @ SV95 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(841,plain,
! [SV96: a > a > a] :
( ( ~ ( abel_semigroup_a @ SV96 )
| ( semigroup_a @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(842,plain,
( ( ! [SV97: a > a > a] :
( ( lattic1885654924_set_a @ SV97 )
= ( semilattice_a @ SV97 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[545]) ).
thf(843,plain,
( ( lattic1885654924_set_a = semilattice_a )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[545]) ).
thf(844,plain,
! [SV98: a > a > a] :
( ( ~ ( semilattice_a @ SV98 )
| ( lattic1885654924_set_a @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(845,plain,
! [SV99: a > a > a] :
( ( ~ ( lattic1885654924_set_a @ SV99 )
| ( semilattice_a @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(846,plain,
! [SV100: a > a > a] :
( ( ~ ( semilattice_a @ SV100 )
| ( abel_semigroup_a @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(847,plain,
! [SV101: a > a > a] :
( ( ! [SY884: a] :
( ~ ( abel_semigroup_a @ SV101 )
| ! [SY885: a,SY886: a] :
( ( SV101 @ SY884 @ ( SV101 @ SY885 @ SY886 ) )
= ( SV101 @ SY885 @ ( SV101 @ SY884 @ SY886 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(848,plain,
! [SV102: a > a > a] :
( ( ~ ( semilattice_a @ SV102 )
| ! [SY887: a,SY888: a] :
( ( SV102 @ ( SV102 @ SY887 @ SY888 ) @ SY888 )
= ( SV102 @ SY887 @ SY888 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(849,plain,
! [SV103: a > a > a] :
( ( ~ ( semilattice_a @ SV103 )
| ! [SY889: a,SY890: a] :
( ( SV103 @ SY889 @ ( SV103 @ SY889 @ SY890 ) )
= ( SV103 @ SY889 @ SY890 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(850,plain,
! [SV104: a > a > a] :
( ( ~ ( abel_semigroup_a @ SV104 )
| ! [SY891: a,SY892: a] :
( ( SV104 @ SY891 @ SY892 )
= ( SV104 @ SY892 @ SY891 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(851,plain,
! [SV105: a > a > a] :
( ( ~ ( semilattice_a @ SV105 )
| ! [SY893: a] :
( ( SV105 @ SY893 @ SY893 )
= SY893 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(852,plain,
! [SV106: a > a > a] :
( ( ( ( SV106 @ ( SV106 @ ( sK21_A4 @ SV106 ) @ ( sK22_SY731 @ SV106 ) ) @ ( sK23_SY733 @ SV106 ) )
!= ( SV106 @ ( sK21_A4 @ SV106 ) @ ( SV106 @ ( sK22_SY731 @ SV106 ) @ ( sK23_SY733 @ SV106 ) ) ) )
| ( semigroup_a @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(853,plain,
! [SV107: a > a > a] :
( ( ! [SY894: a] :
( ~ ( semigroup_a @ SV107 )
| ! [SY895: a,SY896: a] :
( ( SV107 @ ( SV107 @ SY894 @ SY895 ) @ SY896 )
= ( SV107 @ SY894 @ ( SV107 @ SY895 @ SY896 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(854,plain,
( ( ! [SV108: a > a > a] :
( ( semigroup_a @ SV108 )
= ( ! [SY897: a,SY898: a,SY899: a] :
( ( SV108 @ ( SV108 @ SY897 @ SY898 ) @ SY899 )
= ( SV108 @ SY897 @ ( SV108 @ SY898 @ SY899 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(855,plain,
( ( semigroup_a
= ( ^ [F2: a > a > a] :
! [A3: a,B2: a,C3: a] :
( ( F2 @ ( F2 @ A3 @ B2 ) @ C3 )
= ( F2 @ A3 @ ( F2 @ B2 @ C3 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(856,plain,
! [SV109: set_a] :
( ( ~ ( condit1001553558elow_a @ less_eq @ SV109 )
| ! [SY900: set_a] :
( ~ ( ord_less_eq_set_a @ SY900 @ SV109 )
| ( condit1001553558elow_a @ less_eq @ SY900 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(857,plain,
! [SV110: set_a] :
( ( ~ ( condit1627435690bove_a @ less_eq @ SV110 )
| ! [SY901: set_a] :
( ~ ( ord_less_eq_set_a @ SY901 @ SV110 )
| ( condit1627435690bove_a @ less_eq @ SY901 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(858,plain,
! [SV111: set_a] :
( ( ~ ( finite_finite_a @ SV111 )
| ( condit1001553558elow_a @ less_eq @ SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(859,plain,
! [SV112: set_a] :
( ( ~ ( finite_finite_a @ SV112 )
| ( condit1627435690bove_a @ less_eq @ SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(860,plain,
! [SV113: a > set_a] :
( ( ~ ( antimono_a_set_a @ less_eq @ SV113 )
| ! [SY902: a,SY903: a] :
( ~ ( less_eq @ SY902 @ SY903 )
| ( ord_less_eq_set_a @ ( SV113 @ SY903 ) @ ( SV113 @ SY902 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(861,plain,
! [SV114: a > set_a] :
( ( ~ ( antimono_a_set_a @ less_eq @ SV114 )
| ! [SY904: a,SY905: a] :
( ~ ( less_eq @ SY904 @ SY905 )
| ( ord_less_eq_set_a @ ( SV114 @ SY905 ) @ ( SV114 @ SY904 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(862,plain,
! [SV115: a > set_a] :
( ( ~ ( mono_a_set_a @ less_eq @ SV115 )
| ! [SY906: a,SY907: a] :
( ~ ( less_eq @ SY906 @ SY907 )
| ( ord_less_eq_set_a @ ( SV115 @ SY906 ) @ ( SV115 @ SY907 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(863,plain,
! [SV116: a > set_a] :
( ( ~ ( mono_a_set_a @ less_eq @ SV116 )
| ! [SY908: a,SY909: a] :
( ~ ( less_eq @ SY908 @ SY909 )
| ( ord_less_eq_set_a @ ( SV116 @ SY908 ) @ ( SV116 @ SY909 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(864,plain,
! [SV117: set_a] :
( ( ~ ( finite_finite_a @ SV117 )
| ! [SY910: a] :
( ~ ( member_a @ SY910 @ SV117 )
| ( less_eq @ SY910 @ ( lattic1781219155_fin_a @ sup @ SV117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(865,plain,
! [SV118: set_a] :
( ( ~ ( finite_finite_a @ SV118 )
| ! [SY911: a] :
( ~ ( member_a @ SY911 @ SV118 )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ SV118 ) @ SY911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(866,plain,
! [SV119: set_a] :
( ( ~ ( finite_finite_a @ SV119 )
| ! [SY912: a] :
( ~ ( member_a @ SY912 @ SV119 )
| ( ( sup @ SY912 @ ( lattic1781219155_fin_a @ sup @ SV119 ) )
= ( lattic1781219155_fin_a @ sup @ SV119 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(867,plain,
! [SV120: set_a] :
( ( ~ ( finite_finite_a @ SV120 )
| ! [SY913: a] :
( ~ ( member_a @ SY913 @ SV120 )
| ( ( inf @ SY913 @ ( lattic247676691_fin_a @ inf @ SV120 ) )
= ( lattic247676691_fin_a @ inf @ SV120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(868,plain,
! [SV121: set_a] :
( ( ~ ( finite_finite_a @ SV121 )
| ! [SY914: a] :
( ~ ( member_a @ SY914 @ SV121 )
| ( ( inf @ SY914 @ ( lattic1781219155_fin_a @ sup @ SV121 ) )
= SY914 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(869,plain,
! [SV122: set_a] :
( ( ~ ( finite_finite_a @ SV122 )
| ! [SY915: a] :
( ~ ( member_a @ SY915 @ SV122 )
| ( ( sup @ ( lattic247676691_fin_a @ inf @ SV122 ) @ SY915 )
= SY915 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(870,plain,
! [SV123: set_a] :
( ( ~ ( finite_finite_a @ SV123 )
| ( SV123 = bot_bot_set_a )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ SV123 ) @ ( lattic1781219155_fin_a @ sup @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(871,plain,
! [SV124: set_a] :
( ( ! [SY916: set_a] :
( ~ ( ord_less_eq_set_a @ SV124 @ SY916 )
| ( SV124 = bot_bot_set_a )
| ~ ( finite_finite_a @ SY916 )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV124 ) @ ( lattic1781219155_fin_a @ sup @ SY916 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(872,plain,
! [SV125: set_a] :
( ( ! [SY917: set_a] :
( ~ ( ord_less_eq_set_a @ SV125 @ SY917 )
| ( SV125 = bot_bot_set_a )
| ~ ( finite_finite_a @ SY917 )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ SY917 ) @ ( lattic247676691_fin_a @ inf @ SV125 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(873,plain,
! [SV126: set_a] :
( ( ~ ( finite_finite_a @ SV126 )
| ! [SY918: set_a] :
( ( SY918 = bot_bot_set_a )
| ~ ( ord_less_eq_set_a @ SY918 @ SV126 )
| ( ( inf @ ( lattic247676691_fin_a @ inf @ SY918 ) @ ( lattic247676691_fin_a @ inf @ SV126 ) )
= ( lattic247676691_fin_a @ inf @ SV126 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(874,plain,
! [SV127: set_a] :
( ( ~ ( finite_finite_a @ SV127 )
| ! [SY919: set_a] :
( ( SY919 = bot_bot_set_a )
| ~ ( ord_less_eq_set_a @ SY919 @ SV127 )
| ( ( sup @ ( lattic1781219155_fin_a @ sup @ SY919 ) @ ( lattic1781219155_fin_a @ sup @ SV127 ) )
= ( lattic1781219155_fin_a @ sup @ SV127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(875,plain,
! [SV128: set_a] :
( ( ~ ( finite_finite_a @ SV128 )
| ( SV128 = bot_bot_set_a )
| ! [SY920: a] :
( ~ ( less_eq @ SY920 @ ( lattic247676691_fin_a @ inf @ SV128 ) )
| ! [SY921: a] :
( ~ ( member_a @ SY921 @ SV128 )
| ( less_eq @ SY920 @ SY921 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(876,plain,
! [SV129: set_a] :
( ( ~ ( finite_finite_a @ SV129 )
| ( SV129 = bot_bot_set_a )
| ! [SY922: a] :
( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV129 ) @ SY922 )
| ! [SY923: a] :
( ~ ( member_a @ SY923 @ SV129 )
| ( less_eq @ SY923 @ SY922 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(877,plain,
! [SV130: a] :
( ( ( bot_bot_set_a
!= ( set_atMost_a @ less_eq @ SV130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(878,plain,
! [SV131: a] :
( ( ( bot_bot_set_a
!= ( set_atLeast_a @ less_eq @ SV131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(879,plain,
! [SV132: set_a] :
( ( ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
= ( SV132 = bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(880,plain,
! [SV133: a > $o] :
( ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
= ( ! [SY924: a] :
~ ( SV133 @ SY924 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(881,plain,
! [SV134: a > $o] :
( ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
= ( ! [SY925: a] :
~ ( SV134 @ SY925 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(882,plain,
! [SV135: set_set_a] :
( ( ( ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 ) )
= ( SV135 = bot_bot_set_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(883,plain,
! [SV136: set_a] :
( ( ( ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 ) )
= ( SV136 = bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(884,plain,
! [SV137: set_a] :
( ( ~ ( member_set_a @ SV137 @ bot_bot_set_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(885,plain,
! [SV138: a] :
( ( ~ ( member_a @ SV138 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(886,plain,
! [SV139: set_a] :
( ( ! [SY928: set_a] :
( ~ ( ord_less_eq_set_a @ SV139 @ SY928 )
| ~ ( ord_less_eq_set_a @ SY928 @ SV139 )
| ( SV139 = SY928 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(887,plain,
! [SV140: set_a] :
( ( ord_less_eq_set_a @ bot_bot_set_a @ SV140 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(888,plain,
! [SV141: a] :
( ( ! [SY929: a] :
( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SY929 ) )
= ( less_eq @ SY929 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(889,plain,
! [SV142: a] :
( ( ! [SY930: a] :
( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SY930 ) )
= ( less_eq @ SV142 @ SY930 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(890,plain,
! [SV143: a] :
( ( condit1001553558elow_a @ less_eq @ ( set_atLeast_a @ less_eq @ SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(891,plain,
! [SV144: a] :
( ( condit1627435690bove_a @ less_eq @ ( set_atMost_a @ less_eq @ SV144 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(892,plain,
! [SV145: set_set_a] :
( ( ( member_set_a @ ( sK8_Y2 @ SV145 ) @ SV145 )
| ( SV145 = bot_bot_set_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(893,plain,
! [SV146: set_a] :
( ( ( member_a @ ( sK7_Y2 @ SV146 ) @ SV146 )
| ( SV146 = bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(894,plain,
! [SV147: set_set_a] :
( ( ( SV147 != bot_bot_set_set_a )
| ! [SY931: set_a] :
~ ( member_set_a @ SY931 @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(895,plain,
! [SV148: set_a] :
( ( ( SV148 != bot_bot_set_a )
| ! [SY932: a] :
~ ( member_a @ SY932 @ SV148 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(896,plain,
! [SV149: set_a] :
( ( ~ ( member_set_a @ SV149 @ bot_bot_set_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(897,plain,
! [SV150: a] :
( ( ~ ( member_a @ SV150 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(898,plain,
! [SV151: set_a] :
( ( ! [SY933: set_a] :
( ~ ( ord_less_eq_set_a @ SV151 @ SY933 )
| ! [SY934: set_a] :
( ~ ( ord_less_eq_set_a @ SY933 @ SY934 )
| ( ord_less_eq_set_a @ SV151 @ SY934 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(899,plain,
! [SV152: set_a] :
( ( ord_less_eq_set_a @ SV152 @ SV152 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(900,plain,
! [SV153: set_a] :
( ( ! [SY935: set_a] :
( ( SV153 != SY935 )
| ( ord_less_eq_set_a @ SY935 @ SV153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(901,plain,
! [SV154: set_a] :
( ( ! [SY936: set_a] :
( ( SV154 != SY936 )
| ( ord_less_eq_set_a @ SV154 @ SY936 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(902,plain,
! [SV155: set_set_a] :
( ( ! [SY937: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV155 @ SY937 )
| ! [SY938: set_a] :
( ~ ( member_set_a @ SY938 @ SV155 )
| ( member_set_a @ SY938 @ SY937 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(903,plain,
! [SV156: set_a] :
( ( ! [SY939: set_a] :
( ~ ( ord_less_eq_set_a @ SV156 @ SY939 )
| ! [SY940: a] :
( ~ ( member_a @ SY940 @ SV156 )
| ( member_a @ SY940 @ SY939 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(904,plain,
! [SV157: set_set_a] :
( ( ! [SY941: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV157 @ SY941 )
| ! [SY942: set_a] :
( ~ ( member_set_a @ SY942 @ SV157 )
| ( member_set_a @ SY942 @ SY941 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(905,plain,
! [SV158: set_a] :
( ( ! [SY943: set_a] :
( ~ ( ord_less_eq_set_a @ SV158 @ SY943 )
| ! [SY944: a] :
( ~ ( member_a @ SY944 @ SV158 )
| ( member_a @ SY944 @ SY943 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(906,plain,
! [SV159: set_a] :
( ( ~ ( finite_finite_a @ SV159 )
| ( SV159 = bot_bot_set_a )
| ~ ( member_a @ ( sup @ ( sK4_X2 @ SV159 ) @ ( sK5_SY724 @ SV159 ) ) @ ( insert_a @ ( sK4_X2 @ SV159 ) @ ( insert_a @ ( sK5_SY724 @ SV159 ) @ bot_bot_set_a ) ) )
| ( member_a @ ( lattic1781219155_fin_a @ sup @ SV159 ) @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(907,plain,
! [SV160: set_a] :
( ( ~ ( finite_finite_a @ SV160 )
| ! [SY945: a] :
( ( member_a @ SY945 @ SV160 )
| ( SV160 = bot_bot_set_a )
| ( ( lattic1781219155_fin_a @ sup @ ( insert_a @ SY945 @ SV160 ) )
= ( sup @ SY945 @ ( lattic1781219155_fin_a @ sup @ SV160 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(908,plain,
! [SV161: set_a] :
( ( ~ ( finite_finite_a @ SV161 )
| ( SV161 = bot_bot_set_a )
| ~ ( member_a @ ( inf @ ( sK2_X2 @ SV161 ) @ ( sK3_SY723 @ SV161 ) ) @ ( insert_a @ ( sK2_X2 @ SV161 ) @ ( insert_a @ ( sK3_SY723 @ SV161 ) @ bot_bot_set_a ) ) )
| ( member_a @ ( lattic247676691_fin_a @ inf @ SV161 ) @ SV161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(909,plain,
! [SV162: set_a] :
( ( ~ ( finite_finite_a @ SV162 )
| ! [SY946: a] :
( ( member_a @ SY946 @ SV162 )
| ( SV162 = bot_bot_set_a )
| ( ( lattic247676691_fin_a @ inf @ ( insert_a @ SY946 @ SV162 ) )
= ( inf @ SY946 @ ( lattic247676691_fin_a @ inf @ SV162 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(910,plain,
! [SV163: set_a] :
( ( member_set_a @ SV163 @ ( insert_set_a @ SV163 @ bot_bot_set_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(911,plain,
! [SV164: a] :
( ( member_a @ SV164 @ ( insert_a @ SV164 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(912,plain,
! [SV165: a] :
( ( ! [SY947: set_a] :
( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SY947 ) )
= ( condit1627435690bove_a @ less_eq @ SY947 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(913,plain,
! [SV166: a] :
( ( ! [SY948: set_a] :
( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SY948 ) )
= ( condit1001553558elow_a @ less_eq @ SY948 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(914,plain,
! [SV167: a] :
( ( ( lattic247676691_fin_a @ inf @ ( insert_a @ SV167 @ bot_bot_set_a ) )
= SV167 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(915,plain,
! [SV168: a] :
( ( ( lattic1781219155_fin_a @ sup @ ( insert_a @ SV168 @ bot_bot_set_a ) )
= SV168 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(916,plain,
! [SV169: set_a] :
( ( ~ ( finite_finite_a @ SV169 )
| ( SV169 = bot_bot_set_a )
| ! [SY949: a] :
( ( lattic247676691_fin_a @ inf @ ( insert_a @ SY949 @ SV169 ) )
= ( inf @ SY949 @ ( lattic247676691_fin_a @ inf @ SV169 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(917,plain,
! [SV170: set_a] :
( ( ~ ( finite_finite_a @ SV170 )
| ( SV170 = bot_bot_set_a )
| ! [SY950: a] :
( ( lattic1781219155_fin_a @ sup @ ( insert_a @ SY950 @ SV170 ) )
= ( sup @ SY950 @ ( lattic1781219155_fin_a @ sup @ SV170 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(918,plain,
! [SV171: set_a] :
( ( ! [SY951: a] :
( ~ ( ord_less_eq_set_a @ SV171 @ ( insert_a @ SY951 @ bot_bot_set_a ) )
| ( SV171 = bot_bot_set_a )
| ( SV171
= ( insert_a @ SY951 @ bot_bot_set_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(919,plain,
! [SV172: set_a] :
( ( ! [SY952: a] :
( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SY952 @ bot_bot_set_a ) )
= ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SY952 @ bot_bot_set_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(920,plain,
! [SV173: set_a] :
( ( ! [SY953: set_a] :
( ~ ( member_set_a @ SV173 @ ( insert_set_a @ SY953 @ bot_bot_set_set_a ) )
| ( SV173 = SY953 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(921,plain,
! [SV174: a] :
( ( ! [SY954: a] :
( ~ ( member_a @ SV174 @ ( insert_a @ SY954 @ bot_bot_set_a ) )
| ( SV174 = SY954 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(922,plain,
! [SV175: set_a] :
( ( ! [SY955: set_a] :
( ( member_set_a @ SV175 @ ( insert_set_a @ SY955 @ bot_bot_set_set_a ) )
= ( SV175 = SY955 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(923,plain,
! [SV176: a] :
( ( ! [SY956: a] :
( ( member_a @ SV176 @ ( insert_a @ SY956 @ bot_bot_set_a ) )
= ( SV176 = SY956 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(924,plain,
! [SV177: a] :
( ( ! [SY957: set_a] :
( ( insert_a @ SV177 @ SY957 )
!= bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(925,plain,
! [SV178: a] :
( ( ! [SY958: a] :
( ( ( insert_a @ SV178 @ bot_bot_set_a )
!= ( insert_a @ SY958 @ bot_bot_set_a ) )
| ( SV178 = SY958 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(926,plain,
! [SV179: set_a] :
( ( ! [SY959: set_a] :
( ~ ( ord_less_eq_set_a @ SV179 @ SY959 )
| ! [SY960: a] : ( ord_less_eq_set_a @ SV179 @ ( insert_a @ SY960 @ SY959 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(927,plain,
! [SV180: set_a] :
( ( ! [SY961: a] : ( ord_less_eq_set_a @ SV180 @ ( insert_a @ SY961 @ SV180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(928,plain,
! [SV181: set_a] :
( ( ! [SY962: set_set_a] :
( ( member_set_a @ SV181 @ SY962 )
| ! [SY963: set_set_a] :
( ( ord_le318720350_set_a @ SY962 @ ( insert_set_a @ SV181 @ SY963 ) )
= ( ord_le318720350_set_a @ SY962 @ SY963 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(929,plain,
! [SV182: a] :
( ( ! [SY964: set_a] :
( ( member_a @ SV182 @ SY964 )
| ! [SY965: set_a] :
( ( ord_less_eq_set_a @ SY964 @ ( insert_a @ SV182 @ SY965 ) )
= ( ord_less_eq_set_a @ SY964 @ SY965 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(930,plain,
! [SV183: set_a] :
( ( ! [SY966: set_a] :
( ~ ( ord_less_eq_set_a @ SV183 @ SY966 )
| ! [SY967: a] : ( ord_less_eq_set_a @ ( insert_a @ SY967 @ SV183 ) @ ( insert_a @ SY967 @ SY966 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(931,plain,
! [SV184: a] :
( ( ! [SY968: a] :
( ( SV184 != SY968 )
| ( ( set_atLeastAtMost_a @ less_eq @ SV184 @ SY968 )
= ( insert_a @ SV184 @ bot_bot_set_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(932,plain,
! [SV185: set_a] :
( ( ! [SY969: set_set_a] :
( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SY969 ) )
= ( finite_finite_set_a @ SY969 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(933,plain,
! [SV186: a] :
( ( ! [SY970: set_a] :
( ( finite_finite_a @ ( insert_a @ SV186 @ SY970 ) )
= ( finite_finite_a @ SY970 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(934,plain,
! [SV187: a] :
( ( ! [SY971: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SY971 )
= bot_bot_set_a )
= ( ~ ( less_eq @ SV187 @ SY971 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(935,plain,
! [SV188: a] :
( ( ! [SY972: a] :
( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SY972 ) )
= ( ~ ( less_eq @ SV188 @ SY972 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(936,plain,
! [SV189: a] :
( ( ! [SY973: a] : ( condit1001553558elow_a @ less_eq @ ( set_atLeastAtMost_a @ less_eq @ SV189 @ SY973 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(937,plain,
! [SV190: a] :
( ( ! [SY974: a] : ( condit1627435690bove_a @ less_eq @ ( set_atLeastAtMost_a @ less_eq @ SV190 @ SY974 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(938,plain,
! [SV191: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ SV191 @ SV191 )
= ( insert_a @ SV191 @ bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(939,plain,
! [SV192: a] :
( ( ! [SY975: a,SY976: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SY975 ) @ ( set_atLeast_a @ less_eq @ SY976 ) )
= ( ~ ( less_eq @ SV192 @ SY975 )
| ( less_eq @ SY976 @ SV192 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(940,plain,
! [SV193: a] :
( ( ! [SY977: a,SY978: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SY977 ) @ ( set_atMost_a @ less_eq @ SY978 ) )
= ( ~ ( less_eq @ SV193 @ SY977 )
| ( less_eq @ SY977 @ SY978 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(941,plain,
! [SV194: a > a > a] :
( ( ~ ( finite40241356em_a_a @ SV194 )
| ! [SY979: a,SY980: a] :
( ( SV194 @ SY979 @ ( SV194 @ SY979 @ SY980 ) )
= ( SV194 @ SY979 @ SY980 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(942,plain,
( ( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(943,plain,
! [SV195: set_a] :
( ( ~ ( finite_finite_a @ SV195 )
| ( SV195 = bot_bot_set_a )
| ! [SY981: a] :
( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SY981 )
= ( ! [SY982: a] :
( ~ ( member_a @ SY982 @ SV195 )
| ( less_eq @ SY982 @ SY981 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(944,plain,
! [SV196: a > $o] :
( ( ! [SY983: a] :
( ~ ( SV196 @ SY983 )
| ~ ( ~ ( SV196 @ ( sK35_Y2 @ SY983 @ SV196 ) )
| ~ ~ ( less_eq @ ( sK35_Y2 @ SY983 @ SV196 ) @ SY983 ) )
| ! [SY984: a > $o] :
( ~ ( ~ ( SV196 @ ( sK34_X2 @ SY984 @ SY983 @ SV196 ) )
| ~ ~ ( ~ ! [SY985: a] :
( ~ ( SV196 @ SY985 )
| ( less_eq @ SY985 @ ( sK34_X2 @ SY984 @ SY983 @ SV196 ) ) )
| ~ ~ ( SY984 @ ( sK34_X2 @ SY984 @ SY983 @ SV196 ) ) ) )
| ( SY984 @ ( greatest_a @ less_eq @ SV196 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(945,plain,
! [SV197: set_a] :
( ( ~ ( finite_finite_a @ SV197 )
| ( SV197 = bot_bot_set_a )
| ! [SY986: a] :
( ~ ( ~ ( member_a @ ( sK11_A4 @ SY986 @ SV197 ) @ SV197 )
| ~ ~ ( less_eq @ ( sK11_A4 @ SY986 @ SV197 ) @ SY986 ) )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV197 ) @ SY986 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(946,plain,
! [SV198: set_a] :
( ( ( condit1627435690bove_a @ less_eq @ SV198 )
= ( ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(947,plain,
! [SV199: a] :
( ( ! [SY989: a,SY990: a,SY991: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SY989 ) @ ( set_atLeastAtMost_a @ less_eq @ SY990 @ SY991 ) )
= ( ~ ( less_eq @ SV199 @ SY989 )
| ~ ( ~ ( less_eq @ SY990 @ SV199 )
| ~ ( less_eq @ SY989 @ SY991 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(948,plain,
! [SV200: a] :
( ( ~ ( ~ ! [SY992: a,SY993: a] :
( ~ ( less_eq @ ( sup @ SV200 @ SY992 ) @ SY993 )
| ( less_eq @ SV200 @ SY993 ) )
| ~ ! [SY994: a,SY995: a] :
( ~ ( less_eq @ ( sup @ SV200 @ SY994 ) @ SY995 )
| ( less_eq @ SY994 @ SY995 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(949,plain,
! [SV201: a] :
( ( ! [SY996: set_a,SY997: a] :
( ( ( insert_a @ SV201 @ SY996 )
= ( insert_a @ SY997 @ bot_bot_set_a ) )
= ( ~ ( ( SV201 != SY997 )
| ~ ( ord_less_eq_set_a @ SY996 @ ( insert_a @ SY997 @ bot_bot_set_a ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(950,plain,
( ( ! [SV202: set_a] :
( ( ord_less_eq_set_a @ SV202 )
= ( ^ [SY998: set_a] :
! [SY999: a] :
( ~ ( member_a @ SY999 @ SV202 )
| ( member_a @ SY999 @ SY998 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[694]) ).
thf(951,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)],[694]) ).
thf(952,plain,
! [SV203: set_a] :
( ( ! [SY1000: set_set_a,SY1001: set_set_a] :
( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SY1000 ) @ SY1001 )
= ( ~ ( ~ ( member_set_a @ SV203 @ SY1001 )
| ~ ( ord_le318720350_set_a @ SY1000 @ SY1001 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(953,plain,
! [SV204: a] :
( ( ! [SY1002: a,SY1003: a] :
( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SY1002 @ SY1003 ) )
= ( ~ ( ~ ( less_eq @ SY1002 @ SV204 )
| ~ ( less_eq @ SV204 @ SY1003 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(954,plain,
( ( ! [SV205: set_set_a] :
( ( ord_le318720350_set_a @ SV205 )
= ( ^ [SY1004: set_set_a] :
! [SY1005: set_a] :
( ~ ( member_set_a @ SY1005 @ SV205 )
| ( member_set_a @ SY1005 @ SY1004 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[697]) ).
thf(955,plain,
( ( ord_le318720350_set_a
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
! [SX2: set_a] :
( ~ ( member_set_a @ SX2 @ SX0 )
| ( member_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[697]) ).
thf(956,plain,
! [SV206: a > set_a] :
( ( ( antimono_a_set_a @ less_eq @ SV206 )
= ( ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(957,plain,
! [SV207: a > $o] :
( ( ! [SY1008: a] :
( ~ ( SV207 @ SY1008 )
| ~ ( ~ ( SV207 @ ( sK26_Y2 @ SY1008 @ SV207 ) )
| ~ ~ ( less_eq @ SY1008 @ ( sK26_Y2 @ SY1008 @ SV207 ) ) )
| ( ( least_a @ less_eq @ SV207 )
= SY1008 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(958,plain,
! [SV208: a > $o] :
( ( ! [SY1009: a] :
( ~ ( SV208 @ SY1009 )
| ~ ( ~ ( SV208 @ ( sK28_Y2 @ SY1009 @ SV208 ) )
| ~ ~ ( less_eq @ SY1009 @ ( sK28_Y2 @ SY1009 @ SV208 ) ) )
| ! [SY1010: a > $o] :
( ~ ( ~ ( SV208 @ ( sK27_X2 @ SY1010 @ SY1009 @ SV208 ) )
| ~ ~ ( ~ ! [SY1011: a] :
( ~ ( SV208 @ SY1011 )
| ( less_eq @ ( sK27_X2 @ SY1010 @ SY1009 @ SV208 ) @ SY1011 ) )
| ~ ~ ( SY1010 @ ( sK27_X2 @ SY1010 @ SY1009 @ SV208 ) ) ) )
| ( SY1010 @ ( least_a @ less_eq @ SV208 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(959,plain,
( ( ! [SV209: a] :
( ( ^ [SY1012: a] : ( SV209 = SY1012 ) )
= ( ^ [SY1013: a] :
~ ( ~ ( less_eq @ SV209 @ SY1013 )
| ~ ( less_eq @ SY1013 @ SV209 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[701]) ).
thf(960,plain,
( ( ( ^ [SX0: a,SX1: a] : ( SX0 = SX1 ) )
= ( ^ [SX0: a,SX1: a] :
~ ( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[701]) ).
thf(961,plain,
! [SV210: a] :
( ( ! [SY1014: a,SY1015: a] :
( ( less_eq @ ( sup @ SV210 @ SY1014 ) @ SY1015 )
= ( ~ ( ~ ( less_eq @ SV210 @ SY1015 )
| ~ ( less_eq @ SY1014 @ SY1015 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(962,plain,
! [SV211: a > $o] :
( ( ! [SY1016: a] :
( ~ ( SV211 @ SY1016 )
| ~ ( ~ ( SV211 @ ( sK33_Y2 @ SY1016 @ SV211 ) )
| ~ ~ ( less_eq @ ( sK33_Y2 @ SY1016 @ SV211 ) @ SY1016 ) )
| ( ( greatest_a @ less_eq @ SV211 )
= SY1016 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(963,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( max_a @ less_eq @ SX0 @ SX1 )
= SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ( less_eq @ SX0 @ SX1 )
| ( ( max_a @ less_eq @ SX0 @ SX1 )
= SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(964,plain,
! [SV212: a] :
( ( ! [SY1017: a,SY1018: a] :
( ( less_eq @ ( sup @ SV212 @ SY1017 ) @ SY1018 )
= ( ~ ( ~ ( less_eq @ SV212 @ SY1018 )
| ~ ( less_eq @ SY1017 @ SY1018 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(965,plain,
! [SV213: a > a > a] :
( ( ~ ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
| ~ ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
| ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK44_SY743 @ SV213 ) )
| ~ ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) )
| ~ ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) ) ) )
| ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(966,plain,
! [SV214: set_a] :
( ( ! [SY1021: a] :
~ ( ~ ( member_a @ ( sK25_X2 @ SY1021 @ SV214 ) @ SV214 )
| ~ ~ ( less_eq @ SY1021 @ ( sK25_X2 @ SY1021 @ SV214 ) ) )
| ( condit1001553558elow_a @ less_eq @ SV214 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(967,plain,
( ( ! [SV215: a] :
( ( ^ [SY1022: a] : ( SV215 = SY1022 ) )
= ( ^ [SY1023: a] :
~ ( ~ ( less_eq @ SV215 @ SY1023 )
| ~ ( less_eq @ SY1023 @ SV215 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[708]) ).
thf(968,plain,
( ( ( ^ [SX0: a,SX1: a] : ( SX0 = SX1 ) )
= ( ^ [SX0: a,SX1: a] :
~ ( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[708]) ).
thf(969,plain,
! [SV216: a] :
( ( ~ ( ~ ! [SY1024: a] :
( ! [SY1025: a] :
~ ( less_eq @ SV216 @ ( inf @ SY1024 @ SY1025 ) )
| ( less_eq @ SV216 @ SY1024 ) )
| ~ ! [SY1026: a,SY1027: a] :
( ~ ( less_eq @ SV216 @ ( inf @ SY1026 @ SY1027 ) )
| ( less_eq @ SV216 @ SY1027 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(970,plain,
! [SV217: a > $o] :
( ( ! [SY1028: a] :
( ~ ( ~ ~ ( ~ ! [SY1029: a] :
( ~ ( SV217 @ SY1029 )
| ( less_eq @ ( sK30_Y2 @ SY1028 @ SV217 ) @ SY1029 ) )
| ~ ( SV217 @ ( sK30_Y2 @ SY1028 @ SV217 ) ) )
| ~ ( ( ( sK30_Y2 @ SY1028 @ SV217 )
!= SY1028 ) ) )
| ~ ( ~ ( SV217 @ ( sK29_Y2 @ SY1028 @ SV217 ) )
| ~ ~ ( less_eq @ SY1028 @ ( sK29_Y2 @ SY1028 @ SV217 ) ) )
| ~ ( SV217 @ SY1028 ) )
| ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(971,plain,
! [SV218: a > $o] :
( ( ! [SY1031: a] :
( ~ ( ~ ~ ( ~ ! [SY1032: a] :
( ~ ( SV218 @ SY1032 )
| ( less_eq @ ( sK32_Y2 @ SY1031 @ SV218 ) @ SY1032 ) )
| ~ ( SV218 @ ( sK32_Y2 @ SY1031 @ SV218 ) ) )
| ~ ( ( ( sK32_Y2 @ SY1031 @ SV218 )
!= SY1031 ) ) )
| ~ ( ~ ( SV218 @ ( sK31_Y2 @ SY1031 @ SV218 ) )
| ~ ~ ( less_eq @ SY1031 @ ( sK31_Y2 @ SY1031 @ SV218 ) ) )
| ~ ( SV218 @ SY1031 ) )
| ( SV218 @ ( least_a @ less_eq @ SV218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(972,plain,
! [SV219: set_a] :
( ( ~ ( finite_finite_a @ SV219 )
| ( SV219 = bot_bot_set_a )
| ~ ( ~ ! [SY1033: a] :
( ~ ( member_a @ SY1033 @ SV219 )
| ~ ( less_eq @ SY1033 @ ( sK14_X2 @ SV219 ) )
| ( ( sK14_X2 @ SV219 )
= SY1033 ) )
| ~ ( member_a @ ( sK14_X2 @ SV219 ) @ SV219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(973,plain,
! [SV220: a] :
( ( ~ ( ~ ! [SY1034: a,SY1035: a] :
( ~ ( less_eq @ ( sup @ SV220 @ SY1034 ) @ SY1035 )
| ( less_eq @ SV220 @ SY1035 ) )
| ~ ! [SY1036: a,SY1037: a] :
( ~ ( less_eq @ ( sup @ SV220 @ SY1036 ) @ SY1037 )
| ( less_eq @ SY1036 @ SY1037 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(974,plain,
! [SV221: a > $o] :
( ( ! [SY1038: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SY1038 ) )
= ( ! [SY1039: a] :
( ~ ( SV221 @ SY1039 )
| ( SY1038 @ SY1039 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(975,plain,
! [SV222: set_a] :
( ( ~ ( finite_finite_a @ SV222 )
| ! [SY1040: a] :
( ~ ( member_a @ SY1040 @ SV222 )
| ~ ( ~ ! [SY1041: a] :
( ~ ( member_a @ SY1041 @ SV222 )
| ~ ( less_eq @ SY1041 @ ( sK19_X2 @ SY1040 @ SV222 ) )
| ( ( sK19_X2 @ SY1040 @ SV222 )
= SY1041 ) )
| ~ ~ ( ~ ( less_eq @ ( sK19_X2 @ SY1040 @ SV222 ) @ SY1040 )
| ~ ( member_a @ ( sK19_X2 @ SY1040 @ SV222 ) @ SV222 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(976,plain,
! [SV223: a] :
( ( ! [SY1042: a,SY1043: a] :
( ( less_eq @ SV223 @ ( inf @ SY1042 @ SY1043 ) )
= ( ~ ( ~ ( less_eq @ SV223 @ SY1042 )
| ~ ( less_eq @ SV223 @ SY1043 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(977,plain,
( ( ! [SV224: a] :
( ( ^ [SY1044: a] : ( SV224 = SY1044 ) )
= ( ^ [SY1045: a] :
~ ( ~ ( less_eq @ SY1045 @ SV224 )
| ~ ( less_eq @ SV224 @ SY1045 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[717]) ).
thf(978,plain,
( ( ( ^ [SX0: a,SX1: a] : ( SX0 = SX1 ) )
= ( ^ [SX0: a,SX1: a] :
~ ( ~ ( less_eq @ SX1 @ SX0 )
| ~ ( less_eq @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[717]) ).
thf(979,plain,
! [SV225: a > set_a] :
( ( ( mono_a_set_a @ less_eq @ SV225 )
= ( ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(980,plain,
! [SV226: set_set_a] :
( ( ! [SY1048: set_set_a] :
( ~ ( ~ ( member_set_a @ ( sK10_X2 @ SY1048 @ SV226 ) @ SV226 )
| ~ ~ ( member_set_a @ ( sK10_X2 @ SY1048 @ SV226 ) @ SY1048 ) )
| ( ord_le318720350_set_a @ SV226 @ SY1048 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(981,plain,
! [SV227: set_a] :
( ( ~ ( finite_finite_a @ SV227 )
| ! [SY1049: a] :
( ~ ( member_a @ SY1049 @ SV227 )
| ~ ( ~ ! [SY1050: a] :
( ~ ( member_a @ SY1050 @ SV227 )
| ~ ( less_eq @ ( sK20_X2 @ SY1049 @ SV227 ) @ SY1050 )
| ( ( sK20_X2 @ SY1049 @ SV227 )
= SY1050 ) )
| ~ ~ ( ~ ( less_eq @ SY1049 @ ( sK20_X2 @ SY1049 @ SV227 ) )
| ~ ( member_a @ ( sK20_X2 @ SY1049 @ SV227 ) @ SV227 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(982,plain,
! [SV228: set_set_a] :
( ( ( ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 ) )
= ( ( SV228 != bot_bot_set_set_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(983,plain,
! [SV229: a > set_a] :
( ( ~ ( ~ ( less_eq @ ( sK15_X2 @ SV229 ) @ ( sK16_SY727 @ SV229 ) )
| ~ ~ ( ord_less_eq_set_a @ ( SV229 @ ( sK15_X2 @ SV229 ) ) @ ( SV229 @ ( sK16_SY727 @ SV229 ) ) ) )
| ( mono_a_set_a @ less_eq @ SV229 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(984,plain,
( ( ! [SV230: set_a] :
( ( ^ [SY1052: set_a] : ( SV230 = SY1052 ) )
= ( ^ [SY1053: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SV230 @ SY1053 )
| ~ ( ord_less_eq_set_a @ SY1053 @ SV230 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[723]) ).
thf(985,plain,
( ( ( ^ [SX0: set_a,SX1: set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_a,SX1: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[723]) ).
thf(986,plain,
( ( ! [SV231: set_set_a] :
( ( ord_le318720350_set_a @ SV231 )
= ( ^ [SY1054: set_set_a] :
! [SY1055: set_a] :
( ~ ( member_set_a @ SY1055 @ SV231 )
| ( member_set_a @ SY1055 @ SY1054 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[724]) ).
thf(987,plain,
( ( ord_le318720350_set_a
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
! [SX2: set_a] :
( ~ ( member_set_a @ SX2 @ SX0 )
| ( member_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[724]) ).
thf(988,plain,
! [SV232: a > a > a] :
( ( ~ ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
| ~ ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
| ~ ( ~ ( less_eq @ ( sK37_SY738 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( ~ ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) ) ) )
| ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(989,plain,
! [SV233: set_a] :
( ( ! [SY1058: a] :
~ ( ~ ( member_a @ ( sK24_X2 @ SY1058 @ SV233 ) @ SV233 )
| ~ ~ ( less_eq @ ( sK24_X2 @ SY1058 @ SV233 ) @ SY1058 ) )
| ( condit1627435690bove_a @ less_eq @ SV233 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(990,plain,
! [SV234: a] :
( ( ~ ( ~ ! [SY1059: a] :
( ! [SY1060: a] :
~ ( less_eq @ SV234 @ ( inf @ SY1059 @ SY1060 ) )
| ( less_eq @ SV234 @ SY1059 ) )
| ~ ! [SY1061: a,SY1062: a] :
( ~ ( less_eq @ SV234 @ ( inf @ SY1061 @ SY1062 ) )
| ( less_eq @ SV234 @ SY1062 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(991,plain,
! [SV235: a > set_a] :
( ( ~ ( ~ ( less_eq @ ( sK17_X2 @ SV235 ) @ ( sK18_SY728 @ SV235 ) )
| ~ ~ ( ord_less_eq_set_a @ ( SV235 @ ( sK18_SY728 @ SV235 ) ) @ ( SV235 @ ( sK17_X2 @ SV235 ) ) ) )
| ( antimono_a_set_a @ less_eq @ SV235 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(992,plain,
! [SV236: a] :
( ( ! [SY1063: a,SY1064: a,SY1065: a] :
( ( ( insert_a @ SV236 @ ( insert_a @ SY1063 @ bot_bot_set_a ) )
= ( insert_a @ SY1064 @ ( insert_a @ SY1065 @ bot_bot_set_a ) ) )
= ( ~ ( ( SV236 != SY1064 )
| ( SY1063 != SY1065 ) )
| ~ ( ( SV236 != SY1065 )
| ( SY1063 != SY1064 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(993,plain,
! [SV237: a] :
( ( ! [SY1066: set_a,SY1067: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SY1066 ) @ SY1067 )
= ( ~ ( ~ ( member_a @ SV237 @ SY1067 )
| ~ ( ord_less_eq_set_a @ SY1066 @ SY1067 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(994,plain,
! [SV238: a] :
( ( ! [SY1068: a,SY1069: set_a] :
( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SY1068 @ SY1069 ) )
= ( ~ ( ( SY1068 != SV238 )
| ~ ( ord_less_eq_set_a @ SY1069 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(995,plain,
( ( ~ ! [SX0: set_a,SX1: set_a] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_a @ SX0 @ SX1 ) )
| ~ ! [SX0: set_a,SX1: set_a] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_a @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(996,plain,
! [SV239: set_a] :
( ( ~ ( finite_finite_a @ SV239 )
| ( SV239 = bot_bot_set_a )
| ! [SY1070: a] :
( ~ ( ~ ( member_a @ ( sK12_A4 @ SY1070 @ SV239 ) @ SV239 )
| ~ ~ ( less_eq @ SY1070 @ ( sK12_A4 @ SY1070 @ SV239 ) ) )
| ( less_eq @ SY1070 @ ( lattic247676691_fin_a @ inf @ SV239 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(997,plain,
! [SV240: a] :
( ( ! [SY1071: a,SY1072: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SY1071 )
= ( insert_a @ SY1072 @ bot_bot_set_a ) )
= ( ~ ( ( SV240 != SY1071 )
| ( SY1071 != SY1072 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(998,plain,
! [SV241: set_set_a] :
( ( ~ ( finite_finite_set_a @ SV241 )
| ! [SY1073: set_a] :
( ~ ( member_set_a @ SY1073 @ SV241 )
| ~ ( ~ ! [SY1074: set_a] :
( ~ ( member_set_a @ SY1074 @ SV241 )
| ~ ( ord_less_eq_set_a @ SY1074 @ ( sK1_X2 @ SY1073 @ SV241 ) )
| ( ( sK1_X2 @ SY1073 @ SV241 )
= SY1074 ) )
| ~ ~ ( ~ ( member_set_a @ ( sK1_X2 @ SY1073 @ SV241 ) @ SV241 )
| ~ ( ord_less_eq_set_a @ ( sK1_X2 @ SY1073 @ SV241 ) @ SY1073 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(999,plain,
! [SV242: a] :
( ( ! [SY1075: a,SY1076: a] :
( ( less_eq @ SV242 @ ( inf @ SY1075 @ SY1076 ) )
= ( ~ ( ~ ( less_eq @ SV242 @ SY1075 )
| ~ ( less_eq @ SV242 @ SY1076 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(1000,plain,
! [SV243: set_a] :
( ( ! [SY1077: set_a] :
( ~ ( ~ ( member_a @ ( sK9_X2 @ SY1077 @ SV243 ) @ SV243 )
| ~ ~ ( member_a @ ( sK9_X2 @ SY1077 @ SV243 ) @ SY1077 ) )
| ( ord_less_eq_set_a @ SV243 @ SY1077 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(1001,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( min_a @ less_eq @ SX0 @ SX1 )
= SX0 ) )
| ~ ! [SX0: a,SX1: a] :
( ( less_eq @ SX0 @ SX1 )
| ( ( min_a @ less_eq @ SX0 @ SX1 )
= SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(1002,plain,
! [SV244: set_a] :
( ( ~ ( finite_finite_a @ SV244 )
| ( SV244 = bot_bot_set_a )
| ! [SY1078: a] :
( ( less_eq @ SY1078 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= ( ! [SY1079: a] :
( ~ ( member_a @ SY1079 @ SV244 )
| ( less_eq @ SY1078 @ SY1079 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(1003,plain,
! [SV245: a] :
( ( ! [SY1080: a,SY1081: a,SY1082: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SY1080 )
= ( set_atLeastAtMost_a @ less_eq @ SY1081 @ SY1082 ) )
= ( ~ ( ( SV245 != SY1081 )
| ( SY1080 != SY1082 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SY1080 )
| ~ ~ ( less_eq @ SY1081 @ SY1082 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(1004,plain,
! [SV246: set_a] :
( ( ( ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 ) )
= ( ( SV246 != bot_bot_set_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(1005,plain,
! [SV247: set_a] :
( ( ( condit1001553558elow_a @ less_eq @ SV247 )
= ( ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(1006,plain,
! [SV248: a > $o] :
( ( ! [SY1086: a > $o] :
( ~ ( ~ ( SV248 @ ( sK6_X2 @ SY1086 @ SV248 ) )
| ~ ~ ( SY1086 @ ( sK6_X2 @ SY1086 @ SV248 ) ) )
| ( ord_less_eq_set_a @ ( collect_a @ SV248 ) @ ( collect_a @ SY1086 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(1007,plain,
( ( ! [SV249: set_a] :
( ( ord_less_eq_set_a @ SV249 )
= ( ^ [SY1087: set_a] :
! [SY1088: a] :
( ~ ( member_a @ SY1088 @ SV249 )
| ( member_a @ SY1088 @ SY1087 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[744]) ).
thf(1008,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)],[744]) ).
thf(1009,plain,
! [SV250: set_a] :
( ( ~ ( finite_finite_a @ SV250 )
| ( SV250 = bot_bot_set_a )
| ~ ( ~ ! [SY1089: a] :
( ~ ( member_a @ SY1089 @ SV250 )
| ~ ( less_eq @ ( sK13_X2 @ SV250 ) @ SY1089 )
| ( ( sK13_X2 @ SV250 )
= SY1089 ) )
| ~ ( member_a @ ( sK13_X2 @ SV250 ) @ SV250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(1010,plain,
! [SV251: a,SV1: a] :
( ( ! [SY1090: a] :
( ( inf @ ( inf @ SV1 @ SV251 ) @ SY1090 )
= ( inf @ SV1 @ ( inf @ SV251 @ SY1090 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(1011,plain,
! [SV252: a,SV2: a] :
( ( ( inf @ SV2 @ SV252 )
= ( inf @ SV252 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(1012,plain,
! [SV253: a,SV3: a] :
( ( ! [SY1091: a] :
( ( inf @ SV3 @ ( inf @ SV253 @ SY1091 ) )
= ( inf @ SV253 @ ( inf @ SV3 @ SY1091 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(1013,plain,
! [SV254: a,SV4: a] :
( ( ! [SY1092: a] :
( ( inf @ ( inf @ SV4 @ SV254 ) @ SY1092 )
= ( inf @ SV4 @ ( inf @ SV254 @ SY1092 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(1014,plain,
! [SV255: a,SV5: a] :
( ( ( inf @ SV5 @ SV255 )
= ( inf @ SV255 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(1015,plain,
! [SV256: a,SV6: a] :
( ( ! [SY1093: a] :
( ( inf @ SV6 @ ( inf @ SV256 @ SY1093 ) )
= ( inf @ SV256 @ ( inf @ SV6 @ SY1093 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(1016,plain,
! [SV257: a,SV7: a] :
( ( ! [SY1094: a] :
( ( sup @ ( sup @ SV7 @ SV257 ) @ SY1094 )
= ( sup @ SV7 @ ( sup @ SV257 @ SY1094 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(1017,plain,
! [SV258: a,SV8: a] :
( ( ( sup @ SV8 @ SV258 )
= ( sup @ SV258 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(1018,plain,
! [SV259: a,SV9: a] :
( ( ! [SY1095: a] :
( ( sup @ SV9 @ ( sup @ SV259 @ SY1095 ) )
= ( sup @ SV259 @ ( sup @ SV9 @ SY1095 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(1019,plain,
! [SV260: a,SV10: a] :
( ( ! [SY1096: a] :
( ( sup @ ( sup @ SV10 @ SV260 ) @ SY1096 )
= ( sup @ SV10 @ ( sup @ SV260 @ SY1096 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(1020,plain,
! [SV261: a,SV11: a] :
( ( ( sup @ SV11 @ SV261 )
= ( sup @ SV261 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(1021,plain,
! [SV262: a,SV12: a] :
( ( ! [SY1097: a] :
( ( sup @ SV12 @ ( sup @ SV262 @ SY1097 ) )
= ( sup @ SV262 @ ( sup @ SV12 @ SY1097 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[757]) ).
thf(1022,plain,
! [SV13: a] :
( ( ( ( ( inf @ ( sK54_X2 @ SV13 ) @ ( sup @ ( sK55_SY751 @ SV13 ) @ ( sK56_SY753 @ SV13 ) ) )
!= ( sup @ ( inf @ ( sK54_X2 @ SV13 ) @ ( sK55_SY751 @ SV13 ) ) @ ( inf @ ( sK54_X2 @ SV13 ) @ ( sK56_SY753 @ SV13 ) ) ) ) )
= $true )
| ( ( ! [SY774: a,SY775: a] :
( ( sup @ SV13 @ ( inf @ SY774 @ SY775 ) )
= ( inf @ ( sup @ SV13 @ SY774 ) @ ( sup @ SV13 @ SY775 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(1023,plain,
! [SV14: a] :
( ( ( ( ( sup @ ( sK51_X2 @ SV14 ) @ ( inf @ ( sK52_SY748 @ SV14 ) @ ( sK53_SY750 @ SV14 ) ) )
!= ( inf @ ( sup @ ( sK51_X2 @ SV14 ) @ ( sK52_SY748 @ SV14 ) ) @ ( sup @ ( sK51_X2 @ SV14 ) @ ( sK53_SY750 @ SV14 ) ) ) ) )
= $true )
| ( ( ! [SY776: a,SY777: a] :
( ( inf @ SV14 @ ( sup @ SY776 @ SY777 ) )
= ( sup @ ( inf @ SV14 @ SY776 ) @ ( inf @ SV14 @ SY777 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(1024,plain,
! [SV263: a,SV15: a] :
( ( ! [SY1098: a] :
( ( modula1144073633_aux_a @ inf @ sup @ SV15 @ SV263 @ SY1098 )
= ( inf @ ( inf @ ( sup @ SV15 @ SV263 ) @ ( sup @ SV263 @ SY1098 ) ) @ ( sup @ SY1098 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(1025,plain,
! [SV264: a,SV17: a] :
( ( ( inf @ SV17 @ ( inf @ SV17 @ SV264 ) )
= ( inf @ SV17 @ SV264 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(1026,plain,
! [SV265: a,SV18: a] :
( ( ( inf @ ( inf @ SV18 @ SV265 ) @ SV265 )
= ( inf @ SV18 @ SV265 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(1027,plain,
! [SV266: a,SV20: a] :
( ( ( inf @ SV20 @ ( inf @ SV20 @ SV266 ) )
= ( inf @ SV20 @ SV266 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(1028,plain,
! [SV267: a,SV21: a] :
( ( ( inf @ ( inf @ SV21 @ SV267 ) @ SV267 )
= ( inf @ SV21 @ SV267 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(1029,plain,
! [SV268: a,SV23: a] :
( ( ( sup @ SV23 @ ( sup @ SV23 @ SV268 ) )
= ( sup @ SV23 @ SV268 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(1030,plain,
! [SV269: a,SV24: a] :
( ( ( sup @ ( sup @ SV24 @ SV269 ) @ SV269 )
= ( sup @ SV24 @ SV269 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(1031,plain,
! [SV270: a,SV26: a] :
( ( ( sup @ SV26 @ ( sup @ SV26 @ SV270 ) )
= ( sup @ SV26 @ SV270 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[771]) ).
thf(1032,plain,
! [SV271: a,SV27: a] :
( ( ( inf @ SV27 @ ( sup @ SV27 @ SV271 ) )
= SV27 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(1033,plain,
! [SV272: a,SV28: a] :
( ( ( sup @ SV28 @ ( inf @ SV28 @ SV272 ) )
= SV28 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(1034,plain,
! [SV273: a,SV29: a] :
( ( ! [SY1099: a] :
( ( modula1936294176_aux_a @ inf @ sup @ SV29 @ SV273 @ SY1099 )
= ( sup @ ( sup @ ( inf @ SV29 @ SV273 ) @ ( inf @ SV273 @ SY1099 ) ) @ ( inf @ SY1099 @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(1035,plain,
! [SV274: a,SV30: a] :
( ( ! [SY1100: a] :
( ( modula1936294176_aux_a @ inf @ sup @ SV30 @ SV274 @ SY1100 )
= ( modula1936294176_aux_a @ inf @ sup @ SY1100 @ SV30 @ SV274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(1036,plain,
! [SV275: a,SV31: a] :
( ( ! [SY1101: a] :
( ( modula1936294176_aux_a @ inf @ sup @ SV31 @ SV275 @ SY1101 )
= ( modula1936294176_aux_a @ inf @ sup @ SV275 @ SY1101 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(1037,plain,
! [SV276: a,SV32: a] :
( ( ! [SY1102: a] : ( less_eq @ ( sup @ ( inf @ SV32 @ SV276 ) @ ( inf @ SV32 @ SY1102 ) ) @ ( inf @ SV32 @ ( sup @ SV276 @ SY1102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(1038,plain,
! [SV277: a,SV33: a] :
( ( ! [SY1103: a] : ( less_eq @ ( sup @ SV33 @ ( inf @ SV277 @ SY1103 ) ) @ ( inf @ ( sup @ SV33 @ SV277 ) @ ( sup @ SV33 @ SY1103 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(1039,plain,
! [SV278: a,SV34: a] :
( ( ~ ( less_eq @ SV34 @ SV278 )
| ~ ( less_eq @ SV278 @ SV34 )
| ( SV34 = SV278 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(1040,plain,
! [SV279: set_a > $o,SV35: set_a] :
( ( ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
= ( SV279 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(1041,plain,
! [SV280: a > $o,SV36: a] :
( ( ( member_a @ SV36 @ ( collect_a @ SV280 ) )
= ( SV280 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(1042,plain,
! [SV281: a > $o,SV39: a > $o] :
( ( ( ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) )
!= ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) ) )
| ( ( collect_a @ SV39 )
= ( collect_a @ SV281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(1043,plain,
! [SV282: a,SV40: a] :
( ( ~ ( less_eq @ SV40 @ SV282 )
| ( ( less_eq @ SV282 @ SV40 )
= ( SV282 = SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(1044,plain,
! [SV283: a,SV41: a] :
( ( ~ ( less_eq @ SV41 @ SV283 )
| ~ ( less_eq @ SV283 @ SV41 )
| ( SV283 = SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(1045,plain,
! [SV284: a,SV42: a] :
( ( ~ ( less_eq @ SV42 @ SV284 )
| ! [SY1104: a] :
( ~ ( less_eq @ SY1104 @ SV42 )
| ( less_eq @ SY1104 @ SV284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(1046,plain,
! [SV285: a,SV43: a] :
( ( ( SV43 != SV285 )
| ( less_eq @ SV43 @ SV285 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(1047,plain,
! [SV286: a,SV44: a] :
( ( ( SV44 != SV286 )
| ! [SY1105: a] :
( ~ ( less_eq @ SV286 @ SY1105 )
| ( less_eq @ SV44 @ SY1105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(1048,plain,
! [SV287: a,SV45: a] :
( ( ~ ( less_eq @ SV45 @ SV287 )
| ! [SY1106: a] :
( ( SV287 != SY1106 )
| ( less_eq @ SV45 @ SY1106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(1049,plain,
! [SV288: a,SV46: a] :
( ( ~ ( less_eq @ SV46 @ SV288 )
| ~ ( less_eq @ SV288 @ SV46 )
| ( SV46 = SV288 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(1050,plain,
! [SV289: a,SV47: a] :
( ( ~ ( less_eq @ SV47 @ SV289 )
| ! [SY1107: a] :
( ~ ( less_eq @ SV289 @ SY1107 )
| ( less_eq @ SV47 @ SY1107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(1051,plain,
! [SV290: a,SV48: a] :
( ( ~ ( less_eq @ SV48 @ SV290 )
| ! [SY1108: a] :
( ~ ( less_eq @ SV290 @ SY1108 )
| ( less_eq @ SV48 @ SY1108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(1052,plain,
! [SV291: a,SV49: a] :
( ( ~ ( less_eq @ SV49 @ SV291 )
| ! [SY1109: a] : ( less_eq @ ( inf @ SY1109 @ SV49 ) @ SV291 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[794]) ).
thf(1053,plain,
! [SV292: a,SV50: a] :
( ( ~ ( less_eq @ SV50 @ SV292 )
| ! [SY1110: a] : ( less_eq @ ( inf @ SV50 @ SY1110 ) @ SV292 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(1054,plain,
! [SV293: a,SV51: a] :
( ( ~ ( less_eq @ SV51 @ SV293 )
| ! [SY1111: a] :
( ~ ( less_eq @ SV51 @ SY1111 )
| ( less_eq @ SV51 @ ( inf @ SV293 @ SY1111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(1055,plain,
! [SV294: a,SV52: a] :
( ( ( less_eq @ SV52 @ SV294 )
= ( ( inf @ SV52 @ SV294 )
= SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(1056,plain,
! [SV295: a,SV53: a] :
( ( ~ ( less_eq @ SV53 @ SV295 )
| ! [SY1112: a,SY1113: a] :
( ~ ( less_eq @ SY1112 @ SY1113 )
| ( less_eq @ ( inf @ SV53 @ SY1112 ) @ ( inf @ SV295 @ SY1113 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(1057,plain,
! [SV296: a,SV54: a] :
( ( less_eq @ ( inf @ SV54 @ SV296 ) @ SV296 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(1058,plain,
! [SV297: a,SV55: a] :
( ( less_eq @ ( inf @ SV55 @ SV297 ) @ SV55 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[800]) ).
thf(1059,plain,
! [SV298: a,SV56: a] :
( ( ~ ( less_eq @ SV56 @ SV298 )
| ! [SY1114: a] :
( ~ ( less_eq @ SV56 @ SY1114 )
| ( less_eq @ SV56 @ ( inf @ SV298 @ SY1114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(1060,plain,
! [SV299: a,SV57: a] :
( ( ~ ( less_eq @ SV57 @ SV299 )
| ( ( inf @ SV299 @ SV57 )
= SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(1061,plain,
! [SV300: a,SV58: a] :
( ( ~ ( less_eq @ SV58 @ SV300 )
| ( ( inf @ SV58 @ SV300 )
= SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(1062,plain,
! [SV301: a,SV59: a] :
( ( ( less_eq @ SV59 @ SV301 )
= ( SV59
= ( inf @ SV59 @ SV301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(1063,plain,
! [SV302: a,SV60: a] :
( ( ( SV60
!= ( inf @ SV60 @ SV302 ) )
| ( less_eq @ SV60 @ SV302 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(1064,plain,
! [SV303: a,SV61: a] :
( ( ~ ( less_eq @ SV61 @ SV303 )
| ( SV61
= ( inf @ SV61 @ SV303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(1065,plain,
! [SV304: a,SV62: a] :
( ( ~ ( less_eq @ SV62 @ SV304 )
| ! [SY1115: a] : ( less_eq @ ( inf @ SY1115 @ SV62 ) @ SV304 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(1066,plain,
! [SV305: a,SV63: a] :
( ( ~ ( less_eq @ SV63 @ SV305 )
| ! [SY1116: a] : ( less_eq @ ( inf @ SV63 @ SY1116 ) @ SV305 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(1067,plain,
! [SV306: a,SV64: a] :
( ( less_eq @ ( inf @ SV64 @ SV306 ) @ SV306 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(1068,plain,
! [SV307: a,SV65: a] :
( ( less_eq @ ( inf @ SV65 @ SV307 ) @ SV65 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[810]) ).
thf(1069,plain,
! [SV308: a,SV66: a] :
( ( ~ ( less_eq @ SV66 @ SV308 )
| ! [SY1117: a] :
( ~ ( less_eq @ SV66 @ SY1117 )
| ( less_eq @ SV66 @ ( inf @ SV308 @ SY1117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(1070,plain,
! [SV309: a,SV67: a] :
( ( ( less_eq @ SV67 @ SV309 )
= ( ( inf @ SV309 @ SV67 )
= SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(1071,plain,
! [SV310: a,SV68: a] :
( ( ( less_eq @ SV68 @ SV310 )
= ( ( inf @ SV68 @ SV310 )
= SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(1072,plain,
! [SV311: a,SV69: a] :
( ( ~ ( less_eq @ SV69 @ SV311 )
| ( ( inf @ SV311 @ SV69 )
= SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[814]) ).
thf(1073,plain,
! [SV312: a,SV70: a] :
( ( ~ ( less_eq @ SV70 @ SV312 )
| ( ( inf @ SV70 @ SV312 )
= SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(1074,plain,
! [SV313: a,SV71: a] :
( ( ~ ( less_eq @ SV71 @ SV313 )
| ! [SY1118: a,SY1119: a] :
( ~ ( less_eq @ SY1118 @ SY1119 )
| ( less_eq @ ( sup @ SV71 @ SY1118 ) @ ( sup @ SV313 @ SY1119 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(1075,plain,
! [SV314: a,SV72: a] :
( ( ~ ( less_eq @ SV72 @ SV314 )
| ! [SY1120: a] :
( ~ ( less_eq @ SY1120 @ SV314 )
| ( less_eq @ ( sup @ SV72 @ SY1120 ) @ SV314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(1076,plain,
! [SV315: a,SV73: a] :
( ( less_eq @ SV73 @ ( sup @ SV315 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(1077,plain,
! [SV316: a,SV74: a] :
( ( less_eq @ SV74 @ ( sup @ SV74 @ SV316 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(1078,plain,
! [SV317: a,SV75: a] :
( ( ~ ( less_eq @ SV75 @ SV317 )
| ( ( sup @ SV75 @ SV317 )
= SV317 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(1079,plain,
! [SV318: a,SV76: a] :
( ( ~ ( less_eq @ SV76 @ SV318 )
| ( ( sup @ SV318 @ SV76 )
= SV318 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(1080,plain,
! [SV319: a,SV77: a] :
( ( ( less_eq @ SV77 @ SV319 )
= ( SV319
= ( sup @ SV319 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(1081,plain,
! [SV320: a,SV78: a] :
( ( ( SV78
!= ( sup @ SV78 @ SV320 ) )
| ( less_eq @ SV320 @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(1082,plain,
! [SV321: a,SV79: a] :
( ( ~ ( less_eq @ SV79 @ SV321 )
| ( SV321
= ( sup @ SV321 @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(1083,plain,
! [SV322: a,SV80: a] :
( ( ~ ( less_eq @ SV80 @ SV322 )
| ! [SY1121: a,SY1122: a] :
( ~ ( less_eq @ SY1121 @ SY1122 )
| ( less_eq @ ( sup @ SV80 @ SY1121 ) @ ( sup @ SV322 @ SY1122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(1084,plain,
! [SV323: a,SV81: a] :
( ( ~ ( less_eq @ SV81 @ SV323 )
| ! [SY1123: a] : ( less_eq @ SV81 @ ( sup @ SY1123 @ SV323 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(1085,plain,
! [SV324: a,SV82: a] :
( ( ~ ( less_eq @ SV82 @ SV324 )
| ! [SY1124: a] : ( less_eq @ SV82 @ ( sup @ SV324 @ SY1124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(1086,plain,
! [SV325: a,SV83: a] :
( ( less_eq @ SV83 @ ( sup @ SV325 @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(1087,plain,
! [SV326: a,SV84: a] :
( ( less_eq @ SV84 @ ( sup @ SV84 @ SV326 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(1088,plain,
! [SV327: a,SV85: a] :
( ( ~ ( less_eq @ SV85 @ SV327 )
| ! [SY1125: a] :
( ~ ( less_eq @ SY1125 @ SV327 )
| ( less_eq @ ( sup @ SV85 @ SY1125 ) @ SV327 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(1089,plain,
! [SV328: a,SV86: a] :
( ( ( less_eq @ SV86 @ SV328 )
= ( ( sup @ SV86 @ SV328 )
= SV328 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(1090,plain,
! [SV329: a,SV87: a] :
( ( ( less_eq @ SV87 @ SV329 )
= ( ( sup @ SV329 @ SV87 )
= SV329 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(1091,plain,
! [SV330: a,SV88: a] :
( ( ~ ( less_eq @ SV88 @ SV330 )
| ( ( sup @ SV88 @ SV330 )
= SV330 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(1092,plain,
! [SV331: a,SV89: a] :
( ( ~ ( less_eq @ SV89 @ SV331 )
| ( ( sup @ SV331 @ SV89 )
= SV331 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(1093,plain,
! [SV332: a,SV90: a] :
( ( ~ ( less_eq @ SV90 @ SV332 )
| ! [SY1126: a] : ( less_eq @ SV90 @ ( sup @ SY1126 @ SV332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(1094,plain,
! [SV333: a,SV91: a] :
( ( ~ ( less_eq @ SV91 @ SV333 )
| ! [SY1127: a] : ( less_eq @ SV91 @ ( sup @ SV333 @ SY1127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(1095,plain,
! [SV334: a,SV92: a] :
( ( ~ ( less_eq @ SV92 @ SV334 )
| ! [SY1128: a] :
( ~ ( less_eq @ SY1128 @ SV334 )
| ( less_eq @ ( sup @ SV92 @ SY1128 ) @ SV334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(1096,plain,
! [SV335: a,SV93: a] :
( ( ( less_eq @ SV93 @ SV335 )
= ( ( sup @ SV93 @ SV335 )
= SV335 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(1097,plain,
! [SV96: a > a > a] :
( ( ( ~ ( abel_semigroup_a @ SV96 ) )
= $true )
| ( ( semigroup_a @ SV96 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(1098,plain,
! [SV336: a > a > a] :
( ( ( lattic1885654924_set_a @ SV336 )
= ( semilattice_a @ SV336 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(1099,plain,
! [SV98: a > a > a] :
( ( ( ~ ( semilattice_a @ SV98 ) )
= $true )
| ( ( lattic1885654924_set_a @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[844]) ).
thf(1100,plain,
! [SV99: a > a > a] :
( ( ( ~ ( lattic1885654924_set_a @ SV99 ) )
= $true )
| ( ( semilattice_a @ SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(1101,plain,
! [SV100: a > a > a] :
( ( ( ~ ( semilattice_a @ SV100 ) )
= $true )
| ( ( abel_semigroup_a @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(1102,plain,
! [SV337: a,SV101: a > a > a] :
( ( ~ ( abel_semigroup_a @ SV101 )
| ! [SY1129: a,SY1130: a] :
( ( SV101 @ SV337 @ ( SV101 @ SY1129 @ SY1130 ) )
= ( SV101 @ SY1129 @ ( SV101 @ SV337 @ SY1130 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(1103,plain,
! [SV102: a > a > a] :
( ( ( ~ ( semilattice_a @ SV102 ) )
= $true )
| ( ( ! [SY887: a,SY888: a] :
( ( SV102 @ ( SV102 @ SY887 @ SY888 ) @ SY888 )
= ( SV102 @ SY887 @ SY888 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[848]) ).
thf(1104,plain,
! [SV103: a > a > a] :
( ( ( ~ ( semilattice_a @ SV103 ) )
= $true )
| ( ( ! [SY889: a,SY890: a] :
( ( SV103 @ SY889 @ ( SV103 @ SY889 @ SY890 ) )
= ( SV103 @ SY889 @ SY890 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(1105,plain,
! [SV104: a > a > a] :
( ( ( ~ ( abel_semigroup_a @ SV104 ) )
= $true )
| ( ( ! [SY891: a,SY892: a] :
( ( SV104 @ SY891 @ SY892 )
= ( SV104 @ SY892 @ SY891 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[850]) ).
thf(1106,plain,
! [SV105: a > a > a] :
( ( ( ~ ( semilattice_a @ SV105 ) )
= $true )
| ( ( ! [SY893: a] :
( ( SV105 @ SY893 @ SY893 )
= SY893 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(1107,plain,
! [SV106: a > a > a] :
( ( ( ( ( SV106 @ ( SV106 @ ( sK21_A4 @ SV106 ) @ ( sK22_SY731 @ SV106 ) ) @ ( sK23_SY733 @ SV106 ) )
!= ( SV106 @ ( sK21_A4 @ SV106 ) @ ( SV106 @ ( sK22_SY731 @ SV106 ) @ ( sK23_SY733 @ SV106 ) ) ) ) )
= $true )
| ( ( semigroup_a @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[852]) ).
thf(1108,plain,
! [SV338: a,SV107: a > a > a] :
( ( ~ ( semigroup_a @ SV107 )
| ! [SY1131: a,SY1132: a] :
( ( SV107 @ ( SV107 @ SV338 @ SY1131 ) @ SY1132 )
= ( SV107 @ SV338 @ ( SV107 @ SY1131 @ SY1132 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(1109,plain,
! [SV339: a > a > a] :
( ( ( semigroup_a @ SV339 )
= ( ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(1110,plain,
! [SV109: set_a] :
( ( ( ~ ( condit1001553558elow_a @ less_eq @ SV109 ) )
= $true )
| ( ( ! [SY900: set_a] :
( ~ ( ord_less_eq_set_a @ SY900 @ SV109 )
| ( condit1001553558elow_a @ less_eq @ SY900 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(1111,plain,
! [SV110: set_a] :
( ( ( ~ ( condit1627435690bove_a @ less_eq @ SV110 ) )
= $true )
| ( ( ! [SY901: set_a] :
( ~ ( ord_less_eq_set_a @ SY901 @ SV110 )
| ( condit1627435690bove_a @ less_eq @ SY901 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(1112,plain,
! [SV111: set_a] :
( ( ( ~ ( finite_finite_a @ SV111 ) )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(1113,plain,
! [SV112: set_a] :
( ( ( ~ ( finite_finite_a @ SV112 ) )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[859]) ).
thf(1114,plain,
! [SV113: a > set_a] :
( ( ( ~ ( antimono_a_set_a @ less_eq @ SV113 ) )
= $true )
| ( ( ! [SY902: a,SY903: a] :
( ~ ( less_eq @ SY902 @ SY903 )
| ( ord_less_eq_set_a @ ( SV113 @ SY903 ) @ ( SV113 @ SY902 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(1115,plain,
! [SV114: a > set_a] :
( ( ( ~ ( antimono_a_set_a @ less_eq @ SV114 ) )
= $true )
| ( ( ! [SY904: a,SY905: a] :
( ~ ( less_eq @ SY904 @ SY905 )
| ( ord_less_eq_set_a @ ( SV114 @ SY905 ) @ ( SV114 @ SY904 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[861]) ).
thf(1116,plain,
! [SV115: a > set_a] :
( ( ( ~ ( mono_a_set_a @ less_eq @ SV115 ) )
= $true )
| ( ( ! [SY906: a,SY907: a] :
( ~ ( less_eq @ SY906 @ SY907 )
| ( ord_less_eq_set_a @ ( SV115 @ SY906 ) @ ( SV115 @ SY907 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(1117,plain,
! [SV116: a > set_a] :
( ( ( ~ ( mono_a_set_a @ less_eq @ SV116 ) )
= $true )
| ( ( ! [SY908: a,SY909: a] :
( ~ ( less_eq @ SY908 @ SY909 )
| ( ord_less_eq_set_a @ ( SV116 @ SY908 ) @ ( SV116 @ SY909 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[863]) ).
thf(1118,plain,
! [SV117: set_a] :
( ( ( ~ ( finite_finite_a @ SV117 ) )
= $true )
| ( ( ! [SY910: a] :
( ~ ( member_a @ SY910 @ SV117 )
| ( less_eq @ SY910 @ ( lattic1781219155_fin_a @ sup @ SV117 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[864]) ).
thf(1119,plain,
! [SV118: set_a] :
( ( ( ~ ( finite_finite_a @ SV118 ) )
= $true )
| ( ( ! [SY911: a] :
( ~ ( member_a @ SY911 @ SV118 )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ SV118 ) @ SY911 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[865]) ).
thf(1120,plain,
! [SV119: set_a] :
( ( ( ~ ( finite_finite_a @ SV119 ) )
= $true )
| ( ( ! [SY912: a] :
( ~ ( member_a @ SY912 @ SV119 )
| ( ( sup @ SY912 @ ( lattic1781219155_fin_a @ sup @ SV119 ) )
= ( lattic1781219155_fin_a @ sup @ SV119 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(1121,plain,
! [SV120: set_a] :
( ( ( ~ ( finite_finite_a @ SV120 ) )
= $true )
| ( ( ! [SY913: a] :
( ~ ( member_a @ SY913 @ SV120 )
| ( ( inf @ SY913 @ ( lattic247676691_fin_a @ inf @ SV120 ) )
= ( lattic247676691_fin_a @ inf @ SV120 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(1122,plain,
! [SV121: set_a] :
( ( ( ~ ( finite_finite_a @ SV121 ) )
= $true )
| ( ( ! [SY914: a] :
( ~ ( member_a @ SY914 @ SV121 )
| ( ( inf @ SY914 @ ( lattic1781219155_fin_a @ sup @ SV121 ) )
= SY914 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(1123,plain,
! [SV122: set_a] :
( ( ( ~ ( finite_finite_a @ SV122 ) )
= $true )
| ( ( ! [SY915: a] :
( ~ ( member_a @ SY915 @ SV122 )
| ( ( sup @ ( lattic247676691_fin_a @ inf @ SV122 ) @ SY915 )
= SY915 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[869]) ).
thf(1124,plain,
! [SV123: set_a] :
( ( ( ~ ( finite_finite_a @ SV123 ) )
= $true )
| ( ( ( SV123 = bot_bot_set_a )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ SV123 ) @ ( lattic1781219155_fin_a @ sup @ SV123 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(1125,plain,
! [SV340: set_a,SV124: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV124 @ SV340 )
| ( SV124 = bot_bot_set_a )
| ~ ( finite_finite_a @ SV340 )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV124 ) @ ( lattic1781219155_fin_a @ sup @ SV340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(1126,plain,
! [SV341: set_a,SV125: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV125 @ SV341 )
| ( SV125 = bot_bot_set_a )
| ~ ( finite_finite_a @ SV341 )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ SV341 ) @ ( lattic247676691_fin_a @ inf @ SV125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(1127,plain,
! [SV126: set_a] :
( ( ( ~ ( finite_finite_a @ SV126 ) )
= $true )
| ( ( ! [SY918: set_a] :
( ( SY918 = bot_bot_set_a )
| ~ ( ord_less_eq_set_a @ SY918 @ SV126 )
| ( ( inf @ ( lattic247676691_fin_a @ inf @ SY918 ) @ ( lattic247676691_fin_a @ inf @ SV126 ) )
= ( lattic247676691_fin_a @ inf @ SV126 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[873]) ).
thf(1128,plain,
! [SV127: set_a] :
( ( ( ~ ( finite_finite_a @ SV127 ) )
= $true )
| ( ( ! [SY919: set_a] :
( ( SY919 = bot_bot_set_a )
| ~ ( ord_less_eq_set_a @ SY919 @ SV127 )
| ( ( sup @ ( lattic1781219155_fin_a @ sup @ SY919 ) @ ( lattic1781219155_fin_a @ sup @ SV127 ) )
= ( lattic1781219155_fin_a @ sup @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(1129,plain,
! [SV128: set_a] :
( ( ( ~ ( finite_finite_a @ SV128 ) )
= $true )
| ( ( ( SV128 = bot_bot_set_a )
| ! [SY920: a] :
( ~ ( less_eq @ SY920 @ ( lattic247676691_fin_a @ inf @ SV128 ) )
| ! [SY921: a] :
( ~ ( member_a @ SY921 @ SV128 )
| ( less_eq @ SY920 @ SY921 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[875]) ).
thf(1130,plain,
! [SV129: set_a] :
( ( ( ~ ( finite_finite_a @ SV129 ) )
= $true )
| ( ( ( SV129 = bot_bot_set_a )
| ! [SY922: a] :
( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV129 ) @ SY922 )
| ! [SY923: a] :
( ~ ( member_a @ SY923 @ SV129 )
| ( less_eq @ SY923 @ SY922 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[876]) ).
thf(1131,plain,
! [SV130: a] :
( ( bot_bot_set_a
= ( set_atMost_a @ less_eq @ SV130 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(1132,plain,
! [SV131: a] :
( ( bot_bot_set_a
= ( set_atLeast_a @ less_eq @ SV131 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(1133,plain,
! [SV132: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
| ( SV132 = bot_bot_set_a ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
| ( SV132 != bot_bot_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[879]) ).
thf(1134,plain,
! [SV132: set_a] :
( ( ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
= ( SV132 = bot_bot_set_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[879]) ).
thf(1135,plain,
! [SV133: a > $o] :
( ( ~ ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
| ! [SY924: a] :
~ ( SV133 @ SY924 ) )
| ~ ( ( bot_bot_set_a
!= ( collect_a @ SV133 ) )
| ~ ! [SY924: a] :
~ ( SV133 @ SY924 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[880]) ).
thf(1136,plain,
! [SV133: a > $o] :
( ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
= ( ! [SY924: a] :
~ ( SV133 @ SY924 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[880]) ).
thf(1137,plain,
! [SV134: a > $o] :
( ( ~ ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
| ! [SY925: a] :
~ ( SV134 @ SY925 ) )
| ~ ( ( ( collect_a @ SV134 )
!= bot_bot_set_a )
| ~ ! [SY925: a] :
~ ( SV134 @ SY925 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[881]) ).
thf(1138,plain,
! [SV134: a > $o] :
( ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
= ( ! [SY925: a] :
~ ( SV134 @ SY925 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[881]) ).
thf(1139,plain,
! [SV135: set_set_a] :
( ( ~ ( ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 )
| ( SV135 = bot_bot_set_set_a ) )
| ~ ( ~ ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 )
| ( SV135 != bot_bot_set_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[882]) ).
thf(1140,plain,
! [SV135: set_set_a] :
( ( ( ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 ) )
= ( SV135 = bot_bot_set_set_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[882]) ).
thf(1141,plain,
! [SV136: set_a] :
( ( ~ ( ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 )
| ( SV136 = bot_bot_set_a ) )
| ~ ( ~ ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 )
| ( SV136 != bot_bot_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[883]) ).
thf(1142,plain,
! [SV136: set_a] :
( ( ( ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 ) )
= ( SV136 = bot_bot_set_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[883]) ).
thf(1143,plain,
! [SV137: set_a] :
( ( member_set_a @ SV137 @ bot_bot_set_set_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(1144,plain,
! [SV138: a] :
( ( member_a @ SV138 @ bot_bot_set_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(1145,plain,
! [SV342: set_a,SV139: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV139 @ SV342 )
| ~ ( ord_less_eq_set_a @ SV342 @ SV139 )
| ( SV139 = SV342 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(1146,plain,
! [SV343: a,SV141: a] :
( ( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
= ( less_eq @ SV343 @ SV141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(1147,plain,
! [SV344: a,SV142: a] :
( ( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
= ( less_eq @ SV142 @ SV344 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(1148,plain,
! [SV145: set_set_a] :
( ( ( member_set_a @ ( sK8_Y2 @ SV145 ) @ SV145 )
= $true )
| ( ( SV145 = bot_bot_set_set_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(1149,plain,
! [SV146: set_a] :
( ( ( member_a @ ( sK7_Y2 @ SV146 ) @ SV146 )
= $true )
| ( ( SV146 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(1150,plain,
! [SV147: set_set_a] :
( ( ( ( SV147 != bot_bot_set_set_a ) )
= $true )
| ( ( ! [SY931: set_a] :
~ ( member_set_a @ SY931 @ SV147 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(1151,plain,
! [SV148: set_a] :
( ( ( ( SV148 != bot_bot_set_a ) )
= $true )
| ( ( ! [SY932: a] :
~ ( member_a @ SY932 @ SV148 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(1152,plain,
! [SV149: set_a] :
( ( member_set_a @ SV149 @ bot_bot_set_set_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(1153,plain,
! [SV150: a] :
( ( member_a @ SV150 @ bot_bot_set_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(1154,plain,
! [SV345: set_a,SV151: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV151 @ SV345 )
| ! [SY1136: set_a] :
( ~ ( ord_less_eq_set_a @ SV345 @ SY1136 )
| ( ord_less_eq_set_a @ SV151 @ SY1136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(1155,plain,
! [SV346: set_a,SV153: set_a] :
( ( ( SV153 != SV346 )
| ( ord_less_eq_set_a @ SV346 @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[900]) ).
thf(1156,plain,
! [SV347: set_a,SV154: set_a] :
( ( ( SV154 != SV347 )
| ( ord_less_eq_set_a @ SV154 @ SV347 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(1157,plain,
! [SV348: set_set_a,SV155: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV155 @ SV348 )
| ! [SY1137: set_a] :
( ~ ( member_set_a @ SY1137 @ SV155 )
| ( member_set_a @ SY1137 @ SV348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[902]) ).
thf(1158,plain,
! [SV349: set_a,SV156: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV156 @ SV349 )
| ! [SY1138: a] :
( ~ ( member_a @ SY1138 @ SV156 )
| ( member_a @ SY1138 @ SV349 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(1159,plain,
! [SV350: set_set_a,SV157: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV157 @ SV350 )
| ! [SY1139: set_a] :
( ~ ( member_set_a @ SY1139 @ SV157 )
| ( member_set_a @ SY1139 @ SV350 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(1160,plain,
! [SV351: set_a,SV158: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV158 @ SV351 )
| ! [SY1140: a] :
( ~ ( member_a @ SY1140 @ SV158 )
| ( member_a @ SY1140 @ SV351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(1161,plain,
! [SV159: set_a] :
( ( ( ~ ( finite_finite_a @ SV159 ) )
= $true )
| ( ( ( SV159 = bot_bot_set_a )
| ~ ( member_a @ ( sup @ ( sK4_X2 @ SV159 ) @ ( sK5_SY724 @ SV159 ) ) @ ( insert_a @ ( sK4_X2 @ SV159 ) @ ( insert_a @ ( sK5_SY724 @ SV159 ) @ bot_bot_set_a ) ) )
| ( member_a @ ( lattic1781219155_fin_a @ sup @ SV159 ) @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(1162,plain,
! [SV160: set_a] :
( ( ( ~ ( finite_finite_a @ SV160 ) )
= $true )
| ( ( ! [SY945: a] :
( ( member_a @ SY945 @ SV160 )
| ( SV160 = bot_bot_set_a )
| ( ( lattic1781219155_fin_a @ sup @ ( insert_a @ SY945 @ SV160 ) )
= ( sup @ SY945 @ ( lattic1781219155_fin_a @ sup @ SV160 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(1163,plain,
! [SV161: set_a] :
( ( ( ~ ( finite_finite_a @ SV161 ) )
= $true )
| ( ( ( SV161 = bot_bot_set_a )
| ~ ( member_a @ ( inf @ ( sK2_X2 @ SV161 ) @ ( sK3_SY723 @ SV161 ) ) @ ( insert_a @ ( sK2_X2 @ SV161 ) @ ( insert_a @ ( sK3_SY723 @ SV161 ) @ bot_bot_set_a ) ) )
| ( member_a @ ( lattic247676691_fin_a @ inf @ SV161 ) @ SV161 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[908]) ).
thf(1164,plain,
! [SV162: set_a] :
( ( ( ~ ( finite_finite_a @ SV162 ) )
= $true )
| ( ( ! [SY946: a] :
( ( member_a @ SY946 @ SV162 )
| ( SV162 = bot_bot_set_a )
| ( ( lattic247676691_fin_a @ inf @ ( insert_a @ SY946 @ SV162 ) )
= ( inf @ SY946 @ ( lattic247676691_fin_a @ inf @ SV162 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[909]) ).
thf(1165,plain,
! [SV352: set_a,SV165: a] :
( ( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
= ( condit1627435690bove_a @ less_eq @ SV352 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(1166,plain,
! [SV353: set_a,SV166: a] :
( ( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
= ( condit1001553558elow_a @ less_eq @ SV353 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(1167,plain,
! [SV169: set_a] :
( ( ( ~ ( finite_finite_a @ SV169 ) )
= $true )
| ( ( ( SV169 = bot_bot_set_a )
| ! [SY949: a] :
( ( lattic247676691_fin_a @ inf @ ( insert_a @ SY949 @ SV169 ) )
= ( inf @ SY949 @ ( lattic247676691_fin_a @ inf @ SV169 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[916]) ).
thf(1168,plain,
! [SV170: set_a] :
( ( ( ~ ( finite_finite_a @ SV170 ) )
= $true )
| ( ( ( SV170 = bot_bot_set_a )
| ! [SY950: a] :
( ( lattic1781219155_fin_a @ sup @ ( insert_a @ SY950 @ SV170 ) )
= ( sup @ SY950 @ ( lattic1781219155_fin_a @ sup @ SV170 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[917]) ).
thf(1169,plain,
! [SV354: a,SV171: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV171 @ ( insert_a @ SV354 @ bot_bot_set_a ) )
| ( SV171 = bot_bot_set_a )
| ( SV171
= ( insert_a @ SV354 @ bot_bot_set_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[918]) ).
thf(1170,plain,
! [SV355: a,SV172: set_a] :
( ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
= ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(1171,plain,
! [SV356: set_a,SV173: set_a] :
( ( ~ ( member_set_a @ SV173 @ ( insert_set_a @ SV356 @ bot_bot_set_set_a ) )
| ( SV173 = SV356 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(1172,plain,
! [SV357: a,SV174: a] :
( ( ~ ( member_a @ SV174 @ ( insert_a @ SV357 @ bot_bot_set_a ) )
| ( SV174 = SV357 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(1173,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
= ( SV175 = SV358 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(1174,plain,
! [SV359: a,SV176: a] :
( ( ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
= ( SV176 = SV359 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(1175,plain,
! [SV360: set_a,SV177: a] :
( ( ( ( insert_a @ SV177 @ SV360 )
!= bot_bot_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(1176,plain,
! [SV361: a,SV178: a] :
( ( ( ( insert_a @ SV178 @ bot_bot_set_a )
!= ( insert_a @ SV361 @ bot_bot_set_a ) )
| ( SV178 = SV361 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(1177,plain,
! [SV362: set_a,SV179: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV179 @ SV362 )
| ! [SY1141: a] : ( ord_less_eq_set_a @ SV179 @ ( insert_a @ SY1141 @ SV362 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(1178,plain,
! [SV363: a,SV180: set_a] :
( ( ord_less_eq_set_a @ SV180 @ ( insert_a @ SV363 @ SV180 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(1179,plain,
! [SV364: set_set_a,SV181: set_a] :
( ( ( member_set_a @ SV181 @ SV364 )
| ! [SY1142: set_set_a] :
( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SY1142 ) )
= ( ord_le318720350_set_a @ SV364 @ SY1142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(1180,plain,
! [SV365: set_a,SV182: a] :
( ( ( member_a @ SV182 @ SV365 )
| ! [SY1143: set_a] :
( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SY1143 ) )
= ( ord_less_eq_set_a @ SV365 @ SY1143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(1181,plain,
! [SV366: set_a,SV183: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV183 @ SV366 )
| ! [SY1144: a] : ( ord_less_eq_set_a @ ( insert_a @ SY1144 @ SV183 ) @ ( insert_a @ SY1144 @ SV366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(1182,plain,
! [SV367: a,SV184: a] :
( ( ( SV184 != SV367 )
| ( ( set_atLeastAtMost_a @ less_eq @ SV184 @ SV367 )
= ( insert_a @ SV184 @ bot_bot_set_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(1183,plain,
! [SV368: set_set_a,SV185: set_a] :
( ( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
= ( finite_finite_set_a @ SV368 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(1184,plain,
! [SV369: set_a,SV186: a] :
( ( ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
= ( finite_finite_a @ SV369 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1185,plain,
! [SV370: a,SV187: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
= ( ~ ( less_eq @ SV187 @ SV370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(1186,plain,
! [SV371: a,SV188: a] :
( ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
= ( ~ ( less_eq @ SV188 @ SV371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(1187,plain,
! [SV372: a,SV189: a] :
( ( condit1001553558elow_a @ less_eq @ ( set_atLeastAtMost_a @ less_eq @ SV189 @ SV372 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1188,plain,
! [SV373: a,SV190: a] :
( ( condit1627435690bove_a @ less_eq @ ( set_atLeastAtMost_a @ less_eq @ SV190 @ SV373 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(1189,plain,
! [SV374: a,SV192: a] :
( ( ! [SY1145: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SY1145 ) )
= ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SY1145 @ SV192 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1190,plain,
! [SV375: a,SV193: a] :
( ( ! [SY1146: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SY1146 ) )
= ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SY1146 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(1191,plain,
! [SV194: a > a > a] :
( ( ( ~ ( finite40241356em_a_a @ SV194 ) )
= $true )
| ( ( ! [SY979: a,SY980: a] :
( ( SV194 @ SY979 @ ( SV194 @ SY979 @ SY980 ) )
= ( SV194 @ SY979 @ SY980 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(1192,plain,
! [SV195: set_a] :
( ( ( ~ ( finite_finite_a @ SV195 ) )
= $true )
| ( ( ( SV195 = bot_bot_set_a )
| ! [SY981: a] :
( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SY981 )
= ( ! [SY982: a] :
( ~ ( member_a @ SY982 @ SV195 )
| ( less_eq @ SY982 @ SY981 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(1193,plain,
! [SV376: a,SV196: a > $o] :
( ( ~ ( SV196 @ SV376 )
| ~ ( ~ ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
| ~ ~ ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 ) )
| ! [SY1147: a > $o] :
( ~ ( ~ ( SV196 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1148: a] :
( ~ ( SV196 @ SY1148 )
| ( less_eq @ SY1148 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) )
| ~ ~ ( SY1147 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) ) )
| ( SY1147 @ ( greatest_a @ less_eq @ SV196 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(1194,plain,
! [SV197: set_a] :
( ( ( ~ ( finite_finite_a @ SV197 ) )
= $true )
| ( ( ( SV197 = bot_bot_set_a )
| ! [SY986: a] :
( ~ ( ~ ( member_a @ ( sK11_A4 @ SY986 @ SV197 ) @ SV197 )
| ~ ~ ( less_eq @ ( sK11_A4 @ SY986 @ SV197 ) @ SY986 ) )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV197 ) @ SY986 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[945]) ).
thf(1195,plain,
! [SV198: set_a] :
( ( ~ ( ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
| ~ ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[946]) ).
thf(1196,plain,
! [SV198: set_a] :
( ( ( condit1627435690bove_a @ less_eq @ SV198 )
= ( ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[946]) ).
thf(1197,plain,
! [SV377: a,SV199: a] :
( ( ! [SY1149: a,SY1150: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SY1149 @ SY1150 ) )
= ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SY1149 @ SV199 )
| ~ ( less_eq @ SV377 @ SY1150 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1198,plain,
! [SV200: a] :
( ( ~ ! [SY992: a,SY993: a] :
( ~ ( less_eq @ ( sup @ SV200 @ SY992 ) @ SY993 )
| ( less_eq @ SV200 @ SY993 ) )
| ~ ! [SY994: a,SY995: a] :
( ~ ( less_eq @ ( sup @ SV200 @ SY994 ) @ SY995 )
| ( less_eq @ SY994 @ SY995 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(1199,plain,
! [SV378: set_a,SV201: a] :
( ( ! [SY1151: a] :
( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SY1151 @ bot_bot_set_a ) )
= ( ~ ( ( SV201 != SY1151 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SY1151 @ bot_bot_set_a ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[949]) ).
thf(1200,plain,
! [SV379: set_a] :
( ( ( ord_less_eq_set_a @ SV379 )
= ( ^ [SY1152: set_a] :
! [SY1153: a] :
( ~ ( member_a @ SY1153 @ SV379 )
| ( member_a @ SY1153 @ SY1152 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(1201,plain,
! [SV380: set_set_a,SV203: set_a] :
( ( ! [SY1154: set_set_a] :
( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SY1154 )
= ( ~ ( ~ ( member_set_a @ SV203 @ SY1154 )
| ~ ( ord_le318720350_set_a @ SV380 @ SY1154 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1202,plain,
! [SV381: a,SV204: a] :
( ( ! [SY1155: a] :
( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SY1155 ) )
= ( ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SY1155 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[953]) ).
thf(1203,plain,
! [SV382: set_set_a] :
( ( ( ord_le318720350_set_a @ SV382 )
= ( ^ [SY1156: set_set_a] :
! [SY1157: set_a] :
( ~ ( member_set_a @ SY1157 @ SV382 )
| ( member_set_a @ SY1157 @ SY1156 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(1204,plain,
! [SV206: a > set_a] :
( ( ~ ( ( antimono_a_set_a @ less_eq @ SV206 )
| ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) )
| ~ ( ~ ( antimono_a_set_a @ less_eq @ SV206 )
| ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[956]) ).
thf(1205,plain,
! [SV206: a > set_a] :
( ( ( antimono_a_set_a @ less_eq @ SV206 )
= ( ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[956]) ).
thf(1206,plain,
! [SV383: a,SV207: a > $o] :
( ( ~ ( SV207 @ SV383 )
| ~ ( ~ ( SV207 @ ( sK26_Y2 @ SV383 @ SV207 ) )
| ~ ~ ( less_eq @ SV383 @ ( sK26_Y2 @ SV383 @ SV207 ) ) )
| ( ( least_a @ less_eq @ SV207 )
= SV383 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1207,plain,
! [SV384: a,SV208: a > $o] :
( ( ~ ( SV208 @ SV384 )
| ~ ( ~ ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
| ~ ~ ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) ) )
| ! [SY1158: a > $o] :
( ~ ( ~ ( SV208 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1159: a] :
( ~ ( SV208 @ SY1159 )
| ( less_eq @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) @ SY1159 ) )
| ~ ~ ( SY1158 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) ) ) )
| ( SY1158 @ ( least_a @ less_eq @ SV208 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(1208,plain,
! [SV385: a] :
( ( ( ^ [SY1160: a] : ( SV385 = SY1160 ) )
= ( ^ [SY1161: a] :
~ ( ~ ( less_eq @ SV385 @ SY1161 )
| ~ ( less_eq @ SY1161 @ SV385 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1209,plain,
! [SV386: a,SV210: a] :
( ( ! [SY1162: a] :
( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SY1162 )
= ( ~ ( ~ ( less_eq @ SV210 @ SY1162 )
| ~ ( less_eq @ SV386 @ SY1162 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(1210,plain,
! [SV387: a,SV211: a > $o] :
( ( ~ ( SV211 @ SV387 )
| ~ ( ~ ( SV211 @ ( sK33_Y2 @ SV387 @ SV211 ) )
| ~ ~ ( less_eq @ ( sK33_Y2 @ SV387 @ SV211 ) @ SV387 ) )
| ( ( greatest_a @ less_eq @ SV211 )
= SV387 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1211,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( max_a @ less_eq @ SX0 @ SX1 )
= SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1212,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ( less_eq @ SX0 @ SX1 )
| ( ( max_a @ less_eq @ SX0 @ SX1 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1213,plain,
! [SV388: a,SV212: a] :
( ( ! [SY1163: a] :
( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SY1163 )
= ( ~ ( ~ ( less_eq @ SV212 @ SY1163 )
| ~ ( less_eq @ SV388 @ SY1163 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1214,plain,
! [SV213: a > a > a] :
( ( ( ~ ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) ) )
= $true )
| ( ( ~ ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
| ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK44_SY743 @ SV213 ) )
| ~ ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) )
| ~ ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) ) ) )
| ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(1215,plain,
! [SV214: set_a] :
( ( ( ! [SY1021: a] :
~ ( ~ ( member_a @ ( sK25_X2 @ SY1021 @ SV214 ) @ SV214 )
| ~ ~ ( less_eq @ SY1021 @ ( sK25_X2 @ SY1021 @ SV214 ) ) ) )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV214 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(1216,plain,
! [SV389: a] :
( ( ( ^ [SY1164: a] : ( SV389 = SY1164 ) )
= ( ^ [SY1165: a] :
~ ( ~ ( less_eq @ SV389 @ SY1165 )
| ~ ( less_eq @ SY1165 @ SV389 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(1217,plain,
! [SV216: a] :
( ( ~ ! [SY1024: a] :
( ! [SY1025: a] :
~ ( less_eq @ SV216 @ ( inf @ SY1024 @ SY1025 ) )
| ( less_eq @ SV216 @ SY1024 ) )
| ~ ! [SY1026: a,SY1027: a] :
( ~ ( less_eq @ SV216 @ ( inf @ SY1026 @ SY1027 ) )
| ( less_eq @ SV216 @ SY1027 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1218,plain,
! [SV217: a > $o] :
( ( ( ! [SY1028: a] :
( ~ ( ~ ~ ( ~ ! [SY1029: a] :
( ~ ( SV217 @ SY1029 )
| ( less_eq @ ( sK30_Y2 @ SY1028 @ SV217 ) @ SY1029 ) )
| ~ ( SV217 @ ( sK30_Y2 @ SY1028 @ SV217 ) ) )
| ~ ( ( ( sK30_Y2 @ SY1028 @ SV217 )
!= SY1028 ) ) )
| ~ ( ~ ( SV217 @ ( sK29_Y2 @ SY1028 @ SV217 ) )
| ~ ~ ( less_eq @ SY1028 @ ( sK29_Y2 @ SY1028 @ SV217 ) ) )
| ~ ( SV217 @ SY1028 ) ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(1219,plain,
! [SV218: a > $o] :
( ( ( ! [SY1031: a] :
( ~ ( ~ ~ ( ~ ! [SY1032: a] :
( ~ ( SV218 @ SY1032 )
| ( less_eq @ ( sK32_Y2 @ SY1031 @ SV218 ) @ SY1032 ) )
| ~ ( SV218 @ ( sK32_Y2 @ SY1031 @ SV218 ) ) )
| ~ ( ( ( sK32_Y2 @ SY1031 @ SV218 )
!= SY1031 ) ) )
| ~ ( ~ ( SV218 @ ( sK31_Y2 @ SY1031 @ SV218 ) )
| ~ ~ ( less_eq @ SY1031 @ ( sK31_Y2 @ SY1031 @ SV218 ) ) )
| ~ ( SV218 @ SY1031 ) ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[971]) ).
thf(1220,plain,
! [SV219: set_a] :
( ( ( ~ ( finite_finite_a @ SV219 ) )
= $true )
| ( ( ( SV219 = bot_bot_set_a )
| ~ ( ~ ! [SY1033: a] :
( ~ ( member_a @ SY1033 @ SV219 )
| ~ ( less_eq @ SY1033 @ ( sK14_X2 @ SV219 ) )
| ( ( sK14_X2 @ SV219 )
= SY1033 ) )
| ~ ( member_a @ ( sK14_X2 @ SV219 ) @ SV219 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(1221,plain,
! [SV220: a] :
( ( ~ ! [SY1034: a,SY1035: a] :
( ~ ( less_eq @ ( sup @ SV220 @ SY1034 ) @ SY1035 )
| ( less_eq @ SV220 @ SY1035 ) )
| ~ ! [SY1036: a,SY1037: a] :
( ~ ( less_eq @ ( sup @ SV220 @ SY1036 ) @ SY1037 )
| ( less_eq @ SY1036 @ SY1037 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1222,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= ( ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[974]) ).
thf(1223,plain,
! [SV222: set_a] :
( ( ( ~ ( finite_finite_a @ SV222 ) )
= $true )
| ( ( ! [SY1040: a] :
( ~ ( member_a @ SY1040 @ SV222 )
| ~ ( ~ ! [SY1041: a] :
( ~ ( member_a @ SY1041 @ SV222 )
| ~ ( less_eq @ SY1041 @ ( sK19_X2 @ SY1040 @ SV222 ) )
| ( ( sK19_X2 @ SY1040 @ SV222 )
= SY1041 ) )
| ~ ~ ( ~ ( less_eq @ ( sK19_X2 @ SY1040 @ SV222 ) @ SY1040 )
| ~ ( member_a @ ( sK19_X2 @ SY1040 @ SV222 ) @ SV222 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1224,plain,
! [SV391: a,SV223: a] :
( ( ! [SY1167: a] :
( ( less_eq @ SV223 @ ( inf @ SV391 @ SY1167 ) )
= ( ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SY1167 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[976]) ).
thf(1225,plain,
! [SV392: a] :
( ( ( ^ [SY1168: a] : ( SV392 = SY1168 ) )
= ( ^ [SY1169: a] :
~ ( ~ ( less_eq @ SY1169 @ SV392 )
| ~ ( less_eq @ SV392 @ SY1169 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1226,plain,
! [SV225: a > set_a] :
( ( ~ ( ( mono_a_set_a @ less_eq @ SV225 )
| ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) )
| ~ ( ~ ( mono_a_set_a @ less_eq @ SV225 )
| ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[979]) ).
thf(1227,plain,
! [SV225: a > set_a] :
( ( ( mono_a_set_a @ less_eq @ SV225 )
= ( ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[979]) ).
thf(1228,plain,
! [SV226: set_set_a,SV393: set_set_a] :
( ( ~ ( ~ ( member_set_a @ ( sK10_X2 @ SV393 @ SV226 ) @ SV226 )
| ~ ~ ( member_set_a @ ( sK10_X2 @ SV393 @ SV226 ) @ SV393 ) )
| ( ord_le318720350_set_a @ SV226 @ SV393 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1229,plain,
! [SV227: set_a] :
( ( ( ~ ( finite_finite_a @ SV227 ) )
= $true )
| ( ( ! [SY1049: a] :
( ~ ( member_a @ SY1049 @ SV227 )
| ~ ( ~ ! [SY1050: a] :
( ~ ( member_a @ SY1050 @ SV227 )
| ~ ( less_eq @ ( sK20_X2 @ SY1049 @ SV227 ) @ SY1050 )
| ( ( sK20_X2 @ SY1049 @ SV227 )
= SY1050 ) )
| ~ ~ ( ~ ( less_eq @ SY1049 @ ( sK20_X2 @ SY1049 @ SV227 ) )
| ~ ( member_a @ ( sK20_X2 @ SY1049 @ SV227 ) @ SV227 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1230,plain,
! [SV228: set_set_a] :
( ( ~ ( ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ( SV228 != bot_bot_set_set_a ) )
| ~ ( ~ ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ~ ( ( SV228 != bot_bot_set_set_a ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[982]) ).
thf(1231,plain,
! [SV228: set_set_a] :
( ( ( ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 ) )
= ( ( SV228 != bot_bot_set_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[982]) ).
thf(1232,plain,
! [SV229: a > set_a] :
( ( ( ~ ( ~ ( less_eq @ ( sK15_X2 @ SV229 ) @ ( sK16_SY727 @ SV229 ) )
| ~ ~ ( ord_less_eq_set_a @ ( SV229 @ ( sK15_X2 @ SV229 ) ) @ ( SV229 @ ( sK16_SY727 @ SV229 ) ) ) ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV229 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1233,plain,
! [SV394: set_a] :
( ( ( ^ [SY1170: set_a] : ( SV394 = SY1170 ) )
= ( ^ [SY1171: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SV394 @ SY1171 )
| ~ ( ord_less_eq_set_a @ SY1171 @ SV394 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1234,plain,
! [SV395: set_set_a] :
( ( ( ord_le318720350_set_a @ SV395 )
= ( ^ [SY1172: set_set_a] :
! [SY1173: set_a] :
( ~ ( member_set_a @ SY1173 @ SV395 )
| ( member_set_a @ SY1173 @ SY1172 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1235,plain,
! [SV232: a > a > a] :
( ( ( ~ ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) ) )
= $true )
| ( ( ~ ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
| ~ ( ~ ( less_eq @ ( sK37_SY738 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( ~ ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) ) ) )
| ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1236,plain,
! [SV233: set_a] :
( ( ( ! [SY1058: a] :
~ ( ~ ( member_a @ ( sK24_X2 @ SY1058 @ SV233 ) @ SV233 )
| ~ ~ ( less_eq @ ( sK24_X2 @ SY1058 @ SV233 ) @ SY1058 ) ) )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV233 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1237,plain,
! [SV234: a] :
( ( ~ ! [SY1059: a] :
( ! [SY1060: a] :
~ ( less_eq @ SV234 @ ( inf @ SY1059 @ SY1060 ) )
| ( less_eq @ SV234 @ SY1059 ) )
| ~ ! [SY1061: a,SY1062: a] :
( ~ ( less_eq @ SV234 @ ( inf @ SY1061 @ SY1062 ) )
| ( less_eq @ SV234 @ SY1062 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1238,plain,
! [SV235: a > set_a] :
( ( ( ~ ( ~ ( less_eq @ ( sK17_X2 @ SV235 ) @ ( sK18_SY728 @ SV235 ) )
| ~ ~ ( ord_less_eq_set_a @ ( SV235 @ ( sK18_SY728 @ SV235 ) ) @ ( SV235 @ ( sK17_X2 @ SV235 ) ) ) ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV235 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[991]) ).
thf(1239,plain,
! [SV396: a,SV236: a] :
( ( ! [SY1174: a,SY1175: a] :
( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SY1174 @ ( insert_a @ SY1175 @ bot_bot_set_a ) ) )
= ( ~ ( ( SV236 != SY1174 )
| ( SV396 != SY1175 ) )
| ~ ( ( SV236 != SY1175 )
| ( SV396 != SY1174 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[992]) ).
thf(1240,plain,
! [SV397: set_a,SV237: a] :
( ( ! [SY1176: set_a] :
( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SY1176 )
= ( ~ ( ~ ( member_a @ SV237 @ SY1176 )
| ~ ( ord_less_eq_set_a @ SV397 @ SY1176 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1241,plain,
! [SV398: a,SV238: a] :
( ( ! [SY1177: set_a] :
( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SY1177 ) )
= ( ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SY1177 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1242,plain,
( ( ~ ! [SX0: set_a,SX1: set_a] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_a @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1243,plain,
( ( ~ ! [SX0: set_a,SX1: set_a] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_a @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1244,plain,
! [SV239: set_a] :
( ( ( ~ ( finite_finite_a @ SV239 ) )
= $true )
| ( ( ( SV239 = bot_bot_set_a )
| ! [SY1070: a] :
( ~ ( ~ ( member_a @ ( sK12_A4 @ SY1070 @ SV239 ) @ SV239 )
| ~ ~ ( less_eq @ SY1070 @ ( sK12_A4 @ SY1070 @ SV239 ) ) )
| ( less_eq @ SY1070 @ ( lattic247676691_fin_a @ inf @ SV239 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[996]) ).
thf(1245,plain,
! [SV399: a,SV240: a] :
( ( ! [SY1178: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SY1178 @ bot_bot_set_a ) )
= ( ~ ( ( SV240 != SV399 )
| ( SV399 != SY1178 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[997]) ).
thf(1246,plain,
! [SV241: set_set_a] :
( ( ( ~ ( finite_finite_set_a @ SV241 ) )
= $true )
| ( ( ! [SY1073: set_a] :
( ~ ( member_set_a @ SY1073 @ SV241 )
| ~ ( ~ ! [SY1074: set_a] :
( ~ ( member_set_a @ SY1074 @ SV241 )
| ~ ( ord_less_eq_set_a @ SY1074 @ ( sK1_X2 @ SY1073 @ SV241 ) )
| ( ( sK1_X2 @ SY1073 @ SV241 )
= SY1074 ) )
| ~ ~ ( ~ ( member_set_a @ ( sK1_X2 @ SY1073 @ SV241 ) @ SV241 )
| ~ ( ord_less_eq_set_a @ ( sK1_X2 @ SY1073 @ SV241 ) @ SY1073 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[998]) ).
thf(1247,plain,
! [SV400: a,SV242: a] :
( ( ! [SY1179: a] :
( ( less_eq @ SV242 @ ( inf @ SV400 @ SY1179 ) )
= ( ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SY1179 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[999]) ).
thf(1248,plain,
! [SV243: set_a,SV401: set_a] :
( ( ~ ( ~ ( member_a @ ( sK9_X2 @ SV401 @ SV243 ) @ SV243 )
| ~ ~ ( member_a @ ( sK9_X2 @ SV401 @ SV243 ) @ SV401 ) )
| ( ord_less_eq_set_a @ SV243 @ SV401 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1000]) ).
thf(1249,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( min_a @ less_eq @ SX0 @ SX1 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1250,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ( less_eq @ SX0 @ SX1 )
| ( ( min_a @ less_eq @ SX0 @ SX1 )
= SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1251,plain,
! [SV244: set_a] :
( ( ( ~ ( finite_finite_a @ SV244 ) )
= $true )
| ( ( ( SV244 = bot_bot_set_a )
| ! [SY1078: a] :
( ( less_eq @ SY1078 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= ( ! [SY1079: a] :
( ~ ( member_a @ SY1079 @ SV244 )
| ( less_eq @ SY1078 @ SY1079 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1252,plain,
! [SV402: a,SV245: a] :
( ( ! [SY1180: a,SY1181: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SY1180 @ SY1181 ) )
= ( ~ ( ( SV245 != SY1180 )
| ( SV402 != SY1181 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SY1180 @ SY1181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1253,plain,
! [SV246: set_a] :
( ( ~ ( ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ( SV246 != bot_bot_set_a ) )
| ~ ( ~ ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ~ ( ( SV246 != bot_bot_set_a ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1004]) ).
thf(1254,plain,
! [SV246: set_a] :
( ( ( ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 ) )
= ( ( SV246 != bot_bot_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1004]) ).
thf(1255,plain,
! [SV247: set_a] :
( ( ~ ( ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
| ~ ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1005]) ).
thf(1256,plain,
! [SV247: set_a] :
( ( ( condit1001553558elow_a @ less_eq @ SV247 )
= ( ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1005]) ).
thf(1257,plain,
! [SV403: a > $o,SV248: a > $o] :
( ( ~ ( ~ ( SV248 @ ( sK6_X2 @ SV403 @ SV248 ) )
| ~ ~ ( SV403 @ ( sK6_X2 @ SV403 @ SV248 ) ) )
| ( ord_less_eq_set_a @ ( collect_a @ SV248 ) @ ( collect_a @ SV403 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1258,plain,
! [SV404: set_a] :
( ( ( ord_less_eq_set_a @ SV404 )
= ( ^ [SY1182: set_a] :
! [SY1183: a] :
( ~ ( member_a @ SY1183 @ SV404 )
| ( member_a @ SY1183 @ SY1182 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1007]) ).
thf(1259,plain,
! [SV250: set_a] :
( ( ( ~ ( finite_finite_a @ SV250 ) )
= $true )
| ( ( ( SV250 = bot_bot_set_a )
| ~ ( ~ ! [SY1089: a] :
( ~ ( member_a @ SY1089 @ SV250 )
| ~ ( less_eq @ ( sK13_X2 @ SV250 ) @ SY1089 )
| ( ( sK13_X2 @ SV250 )
= SY1089 ) )
| ~ ( member_a @ ( sK13_X2 @ SV250 ) @ SV250 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1009]) ).
thf(1260,plain,
! [SV405: a,SV251: a,SV1: a] :
( ( ( inf @ ( inf @ SV1 @ SV251 ) @ SV405 )
= ( inf @ SV1 @ ( inf @ SV251 @ SV405 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1261,plain,
! [SV406: a,SV253: a,SV3: a] :
( ( ( inf @ SV3 @ ( inf @ SV253 @ SV406 ) )
= ( inf @ SV253 @ ( inf @ SV3 @ SV406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1012]) ).
thf(1262,plain,
! [SV407: a,SV254: a,SV4: a] :
( ( ( inf @ ( inf @ SV4 @ SV254 ) @ SV407 )
= ( inf @ SV4 @ ( inf @ SV254 @ SV407 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1013]) ).
thf(1263,plain,
! [SV408: a,SV256: a,SV6: a] :
( ( ( inf @ SV6 @ ( inf @ SV256 @ SV408 ) )
= ( inf @ SV256 @ ( inf @ SV6 @ SV408 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1264,plain,
! [SV409: a,SV257: a,SV7: a] :
( ( ( sup @ ( sup @ SV7 @ SV257 ) @ SV409 )
= ( sup @ SV7 @ ( sup @ SV257 @ SV409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1265,plain,
! [SV410: a,SV259: a,SV9: a] :
( ( ( sup @ SV9 @ ( sup @ SV259 @ SV410 ) )
= ( sup @ SV259 @ ( sup @ SV9 @ SV410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1018]) ).
thf(1266,plain,
! [SV411: a,SV260: a,SV10: a] :
( ( ( sup @ ( sup @ SV10 @ SV260 ) @ SV411 )
= ( sup @ SV10 @ ( sup @ SV260 @ SV411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1267,plain,
! [SV412: a,SV262: a,SV12: a] :
( ( ( sup @ SV12 @ ( sup @ SV262 @ SV412 ) )
= ( sup @ SV262 @ ( sup @ SV12 @ SV412 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1021]) ).
thf(1268,plain,
! [SV13: a] :
( ( ( ( inf @ ( sK54_X2 @ SV13 ) @ ( sup @ ( sK55_SY751 @ SV13 ) @ ( sK56_SY753 @ SV13 ) ) )
= ( sup @ ( inf @ ( sK54_X2 @ SV13 ) @ ( sK55_SY751 @ SV13 ) ) @ ( inf @ ( sK54_X2 @ SV13 ) @ ( sK56_SY753 @ SV13 ) ) ) )
= $false )
| ( ( ! [SY774: a,SY775: a] :
( ( sup @ SV13 @ ( inf @ SY774 @ SY775 ) )
= ( inf @ ( sup @ SV13 @ SY774 ) @ ( sup @ SV13 @ SY775 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1269,plain,
! [SV14: a] :
( ( ( ( sup @ ( sK51_X2 @ SV14 ) @ ( inf @ ( sK52_SY748 @ SV14 ) @ ( sK53_SY750 @ SV14 ) ) )
= ( inf @ ( sup @ ( sK51_X2 @ SV14 ) @ ( sK52_SY748 @ SV14 ) ) @ ( sup @ ( sK51_X2 @ SV14 ) @ ( sK53_SY750 @ SV14 ) ) ) )
= $false )
| ( ( ! [SY776: a,SY777: a] :
( ( inf @ SV14 @ ( sup @ SY776 @ SY777 ) )
= ( sup @ ( inf @ SV14 @ SY776 ) @ ( inf @ SV14 @ SY777 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1270,plain,
! [SV413: a,SV263: a,SV15: a] :
( ( ( modula1144073633_aux_a @ inf @ sup @ SV15 @ SV263 @ SV413 )
= ( inf @ ( inf @ ( sup @ SV15 @ SV263 ) @ ( sup @ SV263 @ SV413 ) ) @ ( sup @ SV413 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1024]) ).
thf(1271,plain,
! [SV414: a,SV273: a,SV29: a] :
( ( ( modula1936294176_aux_a @ inf @ sup @ SV29 @ SV273 @ SV414 )
= ( sup @ ( sup @ ( inf @ SV29 @ SV273 ) @ ( inf @ SV273 @ SV414 ) ) @ ( inf @ SV414 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1034]) ).
thf(1272,plain,
! [SV415: a,SV274: a,SV30: a] :
( ( ( modula1936294176_aux_a @ inf @ sup @ SV30 @ SV274 @ SV415 )
= ( modula1936294176_aux_a @ inf @ sup @ SV415 @ SV30 @ SV274 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1273,plain,
! [SV416: a,SV275: a,SV31: a] :
( ( ( modula1936294176_aux_a @ inf @ sup @ SV31 @ SV275 @ SV416 )
= ( modula1936294176_aux_a @ inf @ sup @ SV275 @ SV416 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1036]) ).
thf(1274,plain,
! [SV417: a,SV276: a,SV32: a] :
( ( less_eq @ ( sup @ ( inf @ SV32 @ SV276 ) @ ( inf @ SV32 @ SV417 ) ) @ ( inf @ SV32 @ ( sup @ SV276 @ SV417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1037]) ).
thf(1275,plain,
! [SV418: a,SV277: a,SV33: a] :
( ( less_eq @ ( sup @ SV33 @ ( inf @ SV277 @ SV418 ) ) @ ( inf @ ( sup @ SV33 @ SV277 ) @ ( sup @ SV33 @ SV418 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1276,plain,
! [SV278: a,SV34: a] :
( ( ( ~ ( less_eq @ SV34 @ SV278 ) )
= $true )
| ( ( ~ ( less_eq @ SV278 @ SV34 )
| ( SV34 = SV278 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1039]) ).
thf(1277,plain,
! [SV279: set_a > $o,SV35: set_a] :
( ( ~ ( ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
| ( SV279 @ SV35 ) )
| ~ ( ~ ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
| ~ ( SV279 @ SV35 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1040]) ).
thf(1278,plain,
! [SV279: set_a > $o,SV35: set_a] :
( ( ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
= ( SV279 @ SV35 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1040]) ).
thf(1279,plain,
! [SV280: a > $o,SV36: a] :
( ( ~ ( ( member_a @ SV36 @ ( collect_a @ SV280 ) )
| ( SV280 @ SV36 ) )
| ~ ( ~ ( member_a @ SV36 @ ( collect_a @ SV280 ) )
| ~ ( SV280 @ SV36 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1041]) ).
thf(1280,plain,
! [SV280: a > $o,SV36: a] :
( ( ( member_a @ SV36 @ ( collect_a @ SV280 ) )
= ( SV280 @ SV36 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1041]) ).
thf(1281,plain,
! [SV281: a > $o,SV39: a > $o] :
( ( ( ( ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) )
!= ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) ) ) )
= $true )
| ( ( ( collect_a @ SV39 )
= ( collect_a @ SV281 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1282,plain,
! [SV282: a,SV40: a] :
( ( ( ~ ( less_eq @ SV40 @ SV282 ) )
= $true )
| ( ( ( less_eq @ SV282 @ SV40 )
= ( SV282 = SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1043]) ).
thf(1283,plain,
! [SV283: a,SV41: a] :
( ( ( ~ ( less_eq @ SV41 @ SV283 ) )
= $true )
| ( ( ~ ( less_eq @ SV283 @ SV41 )
| ( SV283 = SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1044]) ).
thf(1284,plain,
! [SV284: a,SV42: a] :
( ( ( ~ ( less_eq @ SV42 @ SV284 ) )
= $true )
| ( ( ! [SY1104: a] :
( ~ ( less_eq @ SY1104 @ SV42 )
| ( less_eq @ SY1104 @ SV284 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1285,plain,
! [SV285: a,SV43: a] :
( ( ( ( SV43 != SV285 ) )
= $true )
| ( ( less_eq @ SV43 @ SV285 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1046]) ).
thf(1286,plain,
! [SV286: a,SV44: a] :
( ( ( ( SV44 != SV286 ) )
= $true )
| ( ( ! [SY1105: a] :
( ~ ( less_eq @ SV286 @ SY1105 )
| ( less_eq @ SV44 @ SY1105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1047]) ).
thf(1287,plain,
! [SV287: a,SV45: a] :
( ( ( ~ ( less_eq @ SV45 @ SV287 ) )
= $true )
| ( ( ! [SY1106: a] :
( ( SV287 != SY1106 )
| ( less_eq @ SV45 @ SY1106 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1288,plain,
! [SV288: a,SV46: a] :
( ( ( ~ ( less_eq @ SV46 @ SV288 ) )
= $true )
| ( ( ~ ( less_eq @ SV288 @ SV46 )
| ( SV46 = SV288 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1289,plain,
! [SV289: a,SV47: a] :
( ( ( ~ ( less_eq @ SV47 @ SV289 ) )
= $true )
| ( ( ! [SY1107: a] :
( ~ ( less_eq @ SV289 @ SY1107 )
| ( less_eq @ SV47 @ SY1107 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1290,plain,
! [SV290: a,SV48: a] :
( ( ( ~ ( less_eq @ SV48 @ SV290 ) )
= $true )
| ( ( ! [SY1108: a] :
( ~ ( less_eq @ SV290 @ SY1108 )
| ( less_eq @ SV48 @ SY1108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1291,plain,
! [SV291: a,SV49: a] :
( ( ( ~ ( less_eq @ SV49 @ SV291 ) )
= $true )
| ( ( ! [SY1109: a] : ( less_eq @ ( inf @ SY1109 @ SV49 ) @ SV291 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1292,plain,
! [SV292: a,SV50: a] :
( ( ( ~ ( less_eq @ SV50 @ SV292 ) )
= $true )
| ( ( ! [SY1110: a] : ( less_eq @ ( inf @ SV50 @ SY1110 ) @ SV292 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1293,plain,
! [SV293: a,SV51: a] :
( ( ( ~ ( less_eq @ SV51 @ SV293 ) )
= $true )
| ( ( ! [SY1111: a] :
( ~ ( less_eq @ SV51 @ SY1111 )
| ( less_eq @ SV51 @ ( inf @ SV293 @ SY1111 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1054]) ).
thf(1294,plain,
! [SV294: a,SV52: a] :
( ( ~ ( ( less_eq @ SV52 @ SV294 )
| ( ( inf @ SV52 @ SV294 )
= SV52 ) )
| ~ ( ~ ( less_eq @ SV52 @ SV294 )
| ( ( inf @ SV52 @ SV294 )
!= SV52 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1055]) ).
thf(1295,plain,
! [SV294: a,SV52: a] :
( ( ( less_eq @ SV52 @ SV294 )
= ( ( inf @ SV52 @ SV294 )
= SV52 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1055]) ).
thf(1296,plain,
! [SV295: a,SV53: a] :
( ( ( ~ ( less_eq @ SV53 @ SV295 ) )
= $true )
| ( ( ! [SY1112: a,SY1113: a] :
( ~ ( less_eq @ SY1112 @ SY1113 )
| ( less_eq @ ( inf @ SV53 @ SY1112 ) @ ( inf @ SV295 @ SY1113 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1297,plain,
! [SV298: a,SV56: a] :
( ( ( ~ ( less_eq @ SV56 @ SV298 ) )
= $true )
| ( ( ! [SY1114: a] :
( ~ ( less_eq @ SV56 @ SY1114 )
| ( less_eq @ SV56 @ ( inf @ SV298 @ SY1114 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1298,plain,
! [SV299: a,SV57: a] :
( ( ( ~ ( less_eq @ SV57 @ SV299 ) )
= $true )
| ( ( ( inf @ SV299 @ SV57 )
= SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1060]) ).
thf(1299,plain,
! [SV300: a,SV58: a] :
( ( ( ~ ( less_eq @ SV58 @ SV300 ) )
= $true )
| ( ( ( inf @ SV58 @ SV300 )
= SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1300,plain,
! [SV301: a,SV59: a] :
( ( ~ ( ( less_eq @ SV59 @ SV301 )
| ( SV59
= ( inf @ SV59 @ SV301 ) ) )
| ~ ( ~ ( less_eq @ SV59 @ SV301 )
| ( SV59
!= ( inf @ SV59 @ SV301 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1062]) ).
thf(1301,plain,
! [SV301: a,SV59: a] :
( ( ( less_eq @ SV59 @ SV301 )
= ( SV59
= ( inf @ SV59 @ SV301 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1062]) ).
thf(1302,plain,
! [SV302: a,SV60: a] :
( ( ( ( SV60
!= ( inf @ SV60 @ SV302 ) ) )
= $true )
| ( ( less_eq @ SV60 @ SV302 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1303,plain,
! [SV303: a,SV61: a] :
( ( ( ~ ( less_eq @ SV61 @ SV303 ) )
= $true )
| ( ( SV61
= ( inf @ SV61 @ SV303 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1064]) ).
thf(1304,plain,
! [SV304: a,SV62: a] :
( ( ( ~ ( less_eq @ SV62 @ SV304 ) )
= $true )
| ( ( ! [SY1115: a] : ( less_eq @ ( inf @ SY1115 @ SV62 ) @ SV304 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1065]) ).
thf(1305,plain,
! [SV305: a,SV63: a] :
( ( ( ~ ( less_eq @ SV63 @ SV305 ) )
= $true )
| ( ( ! [SY1116: a] : ( less_eq @ ( inf @ SV63 @ SY1116 ) @ SV305 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1306,plain,
! [SV308: a,SV66: a] :
( ( ( ~ ( less_eq @ SV66 @ SV308 ) )
= $true )
| ( ( ! [SY1117: a] :
( ~ ( less_eq @ SV66 @ SY1117 )
| ( less_eq @ SV66 @ ( inf @ SV308 @ SY1117 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1069]) ).
thf(1307,plain,
! [SV309: a,SV67: a] :
( ( ~ ( ( less_eq @ SV67 @ SV309 )
| ( ( inf @ SV309 @ SV67 )
= SV67 ) )
| ~ ( ~ ( less_eq @ SV67 @ SV309 )
| ( ( inf @ SV309 @ SV67 )
!= SV67 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1070]) ).
thf(1308,plain,
! [SV309: a,SV67: a] :
( ( ( less_eq @ SV67 @ SV309 )
= ( ( inf @ SV309 @ SV67 )
= SV67 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1070]) ).
thf(1309,plain,
! [SV310: a,SV68: a] :
( ( ~ ( ( less_eq @ SV68 @ SV310 )
| ( ( inf @ SV68 @ SV310 )
= SV68 ) )
| ~ ( ~ ( less_eq @ SV68 @ SV310 )
| ( ( inf @ SV68 @ SV310 )
!= SV68 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1071]) ).
thf(1310,plain,
! [SV310: a,SV68: a] :
( ( ( less_eq @ SV68 @ SV310 )
= ( ( inf @ SV68 @ SV310 )
= SV68 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1071]) ).
thf(1311,plain,
! [SV311: a,SV69: a] :
( ( ( ~ ( less_eq @ SV69 @ SV311 ) )
= $true )
| ( ( ( inf @ SV311 @ SV69 )
= SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1072]) ).
thf(1312,plain,
! [SV312: a,SV70: a] :
( ( ( ~ ( less_eq @ SV70 @ SV312 ) )
= $true )
| ( ( ( inf @ SV70 @ SV312 )
= SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1073]) ).
thf(1313,plain,
! [SV313: a,SV71: a] :
( ( ( ~ ( less_eq @ SV71 @ SV313 ) )
= $true )
| ( ( ! [SY1118: a,SY1119: a] :
( ~ ( less_eq @ SY1118 @ SY1119 )
| ( less_eq @ ( sup @ SV71 @ SY1118 ) @ ( sup @ SV313 @ SY1119 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1074]) ).
thf(1314,plain,
! [SV314: a,SV72: a] :
( ( ( ~ ( less_eq @ SV72 @ SV314 ) )
= $true )
| ( ( ! [SY1120: a] :
( ~ ( less_eq @ SY1120 @ SV314 )
| ( less_eq @ ( sup @ SV72 @ SY1120 ) @ SV314 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1075]) ).
thf(1315,plain,
! [SV317: a,SV75: a] :
( ( ( ~ ( less_eq @ SV75 @ SV317 ) )
= $true )
| ( ( ( sup @ SV75 @ SV317 )
= SV317 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1078]) ).
thf(1316,plain,
! [SV318: a,SV76: a] :
( ( ( ~ ( less_eq @ SV76 @ SV318 ) )
= $true )
| ( ( ( sup @ SV318 @ SV76 )
= SV318 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1079]) ).
thf(1317,plain,
! [SV319: a,SV77: a] :
( ( ~ ( ( less_eq @ SV77 @ SV319 )
| ( SV319
= ( sup @ SV319 @ SV77 ) ) )
| ~ ( ~ ( less_eq @ SV77 @ SV319 )
| ( SV319
!= ( sup @ SV319 @ SV77 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1080]) ).
thf(1318,plain,
! [SV319: a,SV77: a] :
( ( ( less_eq @ SV77 @ SV319 )
= ( SV319
= ( sup @ SV319 @ SV77 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1080]) ).
thf(1319,plain,
! [SV320: a,SV78: a] :
( ( ( ( SV78
!= ( sup @ SV78 @ SV320 ) ) )
= $true )
| ( ( less_eq @ SV320 @ SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1081]) ).
thf(1320,plain,
! [SV321: a,SV79: a] :
( ( ( ~ ( less_eq @ SV79 @ SV321 ) )
= $true )
| ( ( SV321
= ( sup @ SV321 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1082]) ).
thf(1321,plain,
! [SV322: a,SV80: a] :
( ( ( ~ ( less_eq @ SV80 @ SV322 ) )
= $true )
| ( ( ! [SY1121: a,SY1122: a] :
( ~ ( less_eq @ SY1121 @ SY1122 )
| ( less_eq @ ( sup @ SV80 @ SY1121 ) @ ( sup @ SV322 @ SY1122 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1322,plain,
! [SV323: a,SV81: a] :
( ( ( ~ ( less_eq @ SV81 @ SV323 ) )
= $true )
| ( ( ! [SY1123: a] : ( less_eq @ SV81 @ ( sup @ SY1123 @ SV323 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1084]) ).
thf(1323,plain,
! [SV324: a,SV82: a] :
( ( ( ~ ( less_eq @ SV82 @ SV324 ) )
= $true )
| ( ( ! [SY1124: a] : ( less_eq @ SV82 @ ( sup @ SV324 @ SY1124 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1085]) ).
thf(1324,plain,
! [SV327: a,SV85: a] :
( ( ( ~ ( less_eq @ SV85 @ SV327 ) )
= $true )
| ( ( ! [SY1125: a] :
( ~ ( less_eq @ SY1125 @ SV327 )
| ( less_eq @ ( sup @ SV85 @ SY1125 ) @ SV327 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1325,plain,
! [SV328: a,SV86: a] :
( ( ~ ( ( less_eq @ SV86 @ SV328 )
| ( ( sup @ SV86 @ SV328 )
= SV328 ) )
| ~ ( ~ ( less_eq @ SV86 @ SV328 )
| ( ( sup @ SV86 @ SV328 )
!= SV328 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1089]) ).
thf(1326,plain,
! [SV328: a,SV86: a] :
( ( ( less_eq @ SV86 @ SV328 )
= ( ( sup @ SV86 @ SV328 )
= SV328 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1089]) ).
thf(1327,plain,
! [SV329: a,SV87: a] :
( ( ~ ( ( less_eq @ SV87 @ SV329 )
| ( ( sup @ SV329 @ SV87 )
= SV329 ) )
| ~ ( ~ ( less_eq @ SV87 @ SV329 )
| ( ( sup @ SV329 @ SV87 )
!= SV329 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1090]) ).
thf(1328,plain,
! [SV329: a,SV87: a] :
( ( ( less_eq @ SV87 @ SV329 )
= ( ( sup @ SV329 @ SV87 )
= SV329 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1090]) ).
thf(1329,plain,
! [SV330: a,SV88: a] :
( ( ( ~ ( less_eq @ SV88 @ SV330 ) )
= $true )
| ( ( ( sup @ SV88 @ SV330 )
= SV330 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1091]) ).
thf(1330,plain,
! [SV331: a,SV89: a] :
( ( ( ~ ( less_eq @ SV89 @ SV331 ) )
= $true )
| ( ( ( sup @ SV331 @ SV89 )
= SV331 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1092]) ).
thf(1331,plain,
! [SV332: a,SV90: a] :
( ( ( ~ ( less_eq @ SV90 @ SV332 ) )
= $true )
| ( ( ! [SY1126: a] : ( less_eq @ SV90 @ ( sup @ SY1126 @ SV332 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1093]) ).
thf(1332,plain,
! [SV333: a,SV91: a] :
( ( ( ~ ( less_eq @ SV91 @ SV333 ) )
= $true )
| ( ( ! [SY1127: a] : ( less_eq @ SV91 @ ( sup @ SV333 @ SY1127 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1094]) ).
thf(1333,plain,
! [SV334: a,SV92: a] :
( ( ( ~ ( less_eq @ SV92 @ SV334 ) )
= $true )
| ( ( ! [SY1128: a] :
( ~ ( less_eq @ SY1128 @ SV334 )
| ( less_eq @ ( sup @ SV92 @ SY1128 ) @ SV334 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1095]) ).
thf(1334,plain,
! [SV335: a,SV93: a] :
( ( ~ ( ( less_eq @ SV93 @ SV335 )
| ( ( sup @ SV93 @ SV335 )
= SV335 ) )
| ~ ( ~ ( less_eq @ SV93 @ SV335 )
| ( ( sup @ SV93 @ SV335 )
!= SV335 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1096]) ).
thf(1335,plain,
! [SV335: a,SV93: a] :
( ( ( less_eq @ SV93 @ SV335 )
= ( ( sup @ SV93 @ SV335 )
= SV335 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1096]) ).
thf(1336,plain,
! [SV96: a > a > a] :
( ( ( abel_semigroup_a @ SV96 )
= $false )
| ( ( semigroup_a @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1337,plain,
! [SV336: a > a > a] :
( ( ~ ( ( lattic1885654924_set_a @ SV336 )
| ( semilattice_a @ SV336 ) )
| ~ ( ~ ( lattic1885654924_set_a @ SV336 )
| ~ ( semilattice_a @ SV336 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1098]) ).
thf(1338,plain,
! [SV336: a > a > a] :
( ( ( lattic1885654924_set_a @ SV336 )
= ( semilattice_a @ SV336 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1098]) ).
thf(1339,plain,
! [SV98: a > a > a] :
( ( ( semilattice_a @ SV98 )
= $false )
| ( ( lattic1885654924_set_a @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1340,plain,
! [SV99: a > a > a] :
( ( ( lattic1885654924_set_a @ SV99 )
= $false )
| ( ( semilattice_a @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1341,plain,
! [SV100: a > a > a] :
( ( ( semilattice_a @ SV100 )
= $false )
| ( ( abel_semigroup_a @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1342,plain,
! [SV337: a,SV101: a > a > a] :
( ( ( ~ ( abel_semigroup_a @ SV101 ) )
= $true )
| ( ( ! [SY1129: a,SY1130: a] :
( ( SV101 @ SV337 @ ( SV101 @ SY1129 @ SY1130 ) )
= ( SV101 @ SY1129 @ ( SV101 @ SV337 @ SY1130 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1102]) ).
thf(1343,plain,
! [SV102: a > a > a] :
( ( ( semilattice_a @ SV102 )
= $false )
| ( ( ! [SY887: a,SY888: a] :
( ( SV102 @ ( SV102 @ SY887 @ SY888 ) @ SY888 )
= ( SV102 @ SY887 @ SY888 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1344,plain,
! [SV103: a > a > a] :
( ( ( semilattice_a @ SV103 )
= $false )
| ( ( ! [SY889: a,SY890: a] :
( ( SV103 @ SY889 @ ( SV103 @ SY889 @ SY890 ) )
= ( SV103 @ SY889 @ SY890 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1345,plain,
! [SV104: a > a > a] :
( ( ( abel_semigroup_a @ SV104 )
= $false )
| ( ( ! [SY891: a,SY892: a] :
( ( SV104 @ SY891 @ SY892 )
= ( SV104 @ SY892 @ SY891 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1346,plain,
! [SV105: a > a > a] :
( ( ( semilattice_a @ SV105 )
= $false )
| ( ( ! [SY893: a] :
( ( SV105 @ SY893 @ SY893 )
= SY893 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1347,plain,
! [SV106: a > a > a] :
( ( ( ( SV106 @ ( SV106 @ ( sK21_A4 @ SV106 ) @ ( sK22_SY731 @ SV106 ) ) @ ( sK23_SY733 @ SV106 ) )
= ( SV106 @ ( sK21_A4 @ SV106 ) @ ( SV106 @ ( sK22_SY731 @ SV106 ) @ ( sK23_SY733 @ SV106 ) ) ) )
= $false )
| ( ( semigroup_a @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1348,plain,
! [SV338: a,SV107: a > a > a] :
( ( ( ~ ( semigroup_a @ SV107 ) )
= $true )
| ( ( ! [SY1131: a,SY1132: a] :
( ( SV107 @ ( SV107 @ SV338 @ SY1131 ) @ SY1132 )
= ( SV107 @ SV338 @ ( SV107 @ SY1131 @ SY1132 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1108]) ).
thf(1349,plain,
! [SV339: a > a > a] :
( ( ~ ( ( semigroup_a @ SV339 )
| ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) )
| ~ ( ~ ( semigroup_a @ SV339 )
| ~ ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1109]) ).
thf(1350,plain,
! [SV339: a > a > a] :
( ( ( semigroup_a @ SV339 )
= ( ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1109]) ).
thf(1351,plain,
! [SV109: set_a] :
( ( ( condit1001553558elow_a @ less_eq @ SV109 )
= $false )
| ( ( ! [SY900: set_a] :
( ~ ( ord_less_eq_set_a @ SY900 @ SV109 )
| ( condit1001553558elow_a @ less_eq @ SY900 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1352,plain,
! [SV110: set_a] :
( ( ( condit1627435690bove_a @ less_eq @ SV110 )
= $false )
| ( ( ! [SY901: set_a] :
( ~ ( ord_less_eq_set_a @ SY901 @ SV110 )
| ( condit1627435690bove_a @ less_eq @ SY901 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1353,plain,
! [SV111: set_a] :
( ( ( finite_finite_a @ SV111 )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1112]) ).
thf(1354,plain,
! [SV112: set_a] :
( ( ( finite_finite_a @ SV112 )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1355,plain,
! [SV113: a > set_a] :
( ( ( antimono_a_set_a @ less_eq @ SV113 )
= $false )
| ( ( ! [SY902: a,SY903: a] :
( ~ ( less_eq @ SY902 @ SY903 )
| ( ord_less_eq_set_a @ ( SV113 @ SY903 ) @ ( SV113 @ SY902 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1114]) ).
thf(1356,plain,
! [SV114: a > set_a] :
( ( ( antimono_a_set_a @ less_eq @ SV114 )
= $false )
| ( ( ! [SY904: a,SY905: a] :
( ~ ( less_eq @ SY904 @ SY905 )
| ( ord_less_eq_set_a @ ( SV114 @ SY905 ) @ ( SV114 @ SY904 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1357,plain,
! [SV115: a > set_a] :
( ( ( mono_a_set_a @ less_eq @ SV115 )
= $false )
| ( ( ! [SY906: a,SY907: a] :
( ~ ( less_eq @ SY906 @ SY907 )
| ( ord_less_eq_set_a @ ( SV115 @ SY906 ) @ ( SV115 @ SY907 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1358,plain,
! [SV116: a > set_a] :
( ( ( mono_a_set_a @ less_eq @ SV116 )
= $false )
| ( ( ! [SY908: a,SY909: a] :
( ~ ( less_eq @ SY908 @ SY909 )
| ( ord_less_eq_set_a @ ( SV116 @ SY908 ) @ ( SV116 @ SY909 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1359,plain,
! [SV117: set_a] :
( ( ( finite_finite_a @ SV117 )
= $false )
| ( ( ! [SY910: a] :
( ~ ( member_a @ SY910 @ SV117 )
| ( less_eq @ SY910 @ ( lattic1781219155_fin_a @ sup @ SV117 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1118]) ).
thf(1360,plain,
! [SV118: set_a] :
( ( ( finite_finite_a @ SV118 )
= $false )
| ( ( ! [SY911: a] :
( ~ ( member_a @ SY911 @ SV118 )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ SV118 ) @ SY911 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1119]) ).
thf(1361,plain,
! [SV119: set_a] :
( ( ( finite_finite_a @ SV119 )
= $false )
| ( ( ! [SY912: a] :
( ~ ( member_a @ SY912 @ SV119 )
| ( ( sup @ SY912 @ ( lattic1781219155_fin_a @ sup @ SV119 ) )
= ( lattic1781219155_fin_a @ sup @ SV119 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1362,plain,
! [SV120: set_a] :
( ( ( finite_finite_a @ SV120 )
= $false )
| ( ( ! [SY913: a] :
( ~ ( member_a @ SY913 @ SV120 )
| ( ( inf @ SY913 @ ( lattic247676691_fin_a @ inf @ SV120 ) )
= ( lattic247676691_fin_a @ inf @ SV120 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1363,plain,
! [SV121: set_a] :
( ( ( finite_finite_a @ SV121 )
= $false )
| ( ( ! [SY914: a] :
( ~ ( member_a @ SY914 @ SV121 )
| ( ( inf @ SY914 @ ( lattic1781219155_fin_a @ sup @ SV121 ) )
= SY914 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1364,plain,
! [SV122: set_a] :
( ( ( finite_finite_a @ SV122 )
= $false )
| ( ( ! [SY915: a] :
( ~ ( member_a @ SY915 @ SV122 )
| ( ( sup @ ( lattic247676691_fin_a @ inf @ SV122 ) @ SY915 )
= SY915 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1123]) ).
thf(1365,plain,
! [SV123: set_a] :
( ( ( finite_finite_a @ SV123 )
= $false )
| ( ( ( SV123 = bot_bot_set_a )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ SV123 ) @ ( lattic1781219155_fin_a @ sup @ SV123 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1124]) ).
thf(1366,plain,
! [SV340: set_a,SV124: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV124 @ SV340 ) )
= $true )
| ( ( ( SV124 = bot_bot_set_a )
| ~ ( finite_finite_a @ SV340 )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV124 ) @ ( lattic1781219155_fin_a @ sup @ SV340 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1125]) ).
thf(1367,plain,
! [SV341: set_a,SV125: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV125 @ SV341 ) )
= $true )
| ( ( ( SV125 = bot_bot_set_a )
| ~ ( finite_finite_a @ SV341 )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ SV341 ) @ ( lattic247676691_fin_a @ inf @ SV125 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1368,plain,
! [SV126: set_a] :
( ( ( finite_finite_a @ SV126 )
= $false )
| ( ( ! [SY918: set_a] :
( ( SY918 = bot_bot_set_a )
| ~ ( ord_less_eq_set_a @ SY918 @ SV126 )
| ( ( inf @ ( lattic247676691_fin_a @ inf @ SY918 ) @ ( lattic247676691_fin_a @ inf @ SV126 ) )
= ( lattic247676691_fin_a @ inf @ SV126 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1369,plain,
! [SV127: set_a] :
( ( ( finite_finite_a @ SV127 )
= $false )
| ( ( ! [SY919: set_a] :
( ( SY919 = bot_bot_set_a )
| ~ ( ord_less_eq_set_a @ SY919 @ SV127 )
| ( ( sup @ ( lattic1781219155_fin_a @ sup @ SY919 ) @ ( lattic1781219155_fin_a @ sup @ SV127 ) )
= ( lattic1781219155_fin_a @ sup @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1370,plain,
! [SV128: set_a] :
( ( ( finite_finite_a @ SV128 )
= $false )
| ( ( ( SV128 = bot_bot_set_a )
| ! [SY920: a] :
( ~ ( less_eq @ SY920 @ ( lattic247676691_fin_a @ inf @ SV128 ) )
| ! [SY921: a] :
( ~ ( member_a @ SY921 @ SV128 )
| ( less_eq @ SY920 @ SY921 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1371,plain,
! [SV129: set_a] :
( ( ( finite_finite_a @ SV129 )
= $false )
| ( ( ( SV129 = bot_bot_set_a )
| ! [SY922: a] :
( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV129 ) @ SY922 )
| ! [SY923: a] :
( ~ ( member_a @ SY923 @ SV129 )
| ( less_eq @ SY923 @ SY922 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1372,plain,
! [SV132: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
| ( SV132 = bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
| ( SV132 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1133]) ).
thf(1373,plain,
! [SV133: a > $o] :
( ( ( ~ ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
| ! [SY924: a] :
~ ( SV133 @ SY924 ) ) )
= $true )
| ( ( ~ ( ( bot_bot_set_a
!= ( collect_a @ SV133 ) )
| ~ ! [SY924: a] :
~ ( SV133 @ SY924 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1135]) ).
thf(1374,plain,
! [SV134: a > $o] :
( ( ( ~ ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
| ! [SY925: a] :
~ ( SV134 @ SY925 ) ) )
= $true )
| ( ( ~ ( ( ( collect_a @ SV134 )
!= bot_bot_set_a )
| ~ ! [SY925: a] :
~ ( SV134 @ SY925 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1137]) ).
thf(1375,plain,
! [SV135: set_set_a] :
( ( ( ~ ( ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 )
| ( SV135 = bot_bot_set_set_a ) ) )
= $true )
| ( ( ~ ( ~ ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 )
| ( SV135 != bot_bot_set_set_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1376,plain,
! [SV136: set_a] :
( ( ( ~ ( ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 )
| ( SV136 = bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ~ ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 )
| ( SV136 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1141]) ).
thf(1377,plain,
! [SV342: set_a,SV139: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV139 @ SV342 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV342 @ SV139 )
| ( SV139 = SV342 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1145]) ).
thf(1378,plain,
! [SV343: a,SV141: a] :
( ( ~ ( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
| ( less_eq @ SV343 @ SV141 ) )
| ~ ( ~ ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
| ~ ( less_eq @ SV343 @ SV141 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1146]) ).
thf(1379,plain,
! [SV343: a,SV141: a] :
( ( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
= ( less_eq @ SV343 @ SV141 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1146]) ).
thf(1380,plain,
! [SV344: a,SV142: a] :
( ( ~ ( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
| ( less_eq @ SV142 @ SV344 ) )
| ~ ( ~ ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
| ~ ( less_eq @ SV142 @ SV344 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1147]) ).
thf(1381,plain,
! [SV344: a,SV142: a] :
( ( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
= ( less_eq @ SV142 @ SV344 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1147]) ).
thf(1382,plain,
! [SV147: set_set_a] :
( ( ( SV147 = bot_bot_set_set_a )
= $false )
| ( ( ! [SY931: set_a] :
~ ( member_set_a @ SY931 @ SV147 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1383,plain,
! [SV148: set_a] :
( ( ( SV148 = bot_bot_set_a )
= $false )
| ( ( ! [SY932: a] :
~ ( member_a @ SY932 @ SV148 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1384,plain,
! [SV345: set_a,SV151: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV151 @ SV345 ) )
= $true )
| ( ( ! [SY1136: set_a] :
( ~ ( ord_less_eq_set_a @ SV345 @ SY1136 )
| ( ord_less_eq_set_a @ SV151 @ SY1136 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1154]) ).
thf(1385,plain,
! [SV346: set_a,SV153: set_a] :
( ( ( ( SV153 != SV346 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV346 @ SV153 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1155]) ).
thf(1386,plain,
! [SV347: set_a,SV154: set_a] :
( ( ( ( SV154 != SV347 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV154 @ SV347 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1387,plain,
! [SV348: set_set_a,SV155: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV155 @ SV348 ) )
= $true )
| ( ( ! [SY1137: set_a] :
( ~ ( member_set_a @ SY1137 @ SV155 )
| ( member_set_a @ SY1137 @ SV348 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1388,plain,
! [SV349: set_a,SV156: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV156 @ SV349 ) )
= $true )
| ( ( ! [SY1138: a] :
( ~ ( member_a @ SY1138 @ SV156 )
| ( member_a @ SY1138 @ SV349 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1158]) ).
thf(1389,plain,
! [SV350: set_set_a,SV157: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV157 @ SV350 ) )
= $true )
| ( ( ! [SY1139: set_a] :
( ~ ( member_set_a @ SY1139 @ SV157 )
| ( member_set_a @ SY1139 @ SV350 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1159]) ).
thf(1390,plain,
! [SV351: set_a,SV158: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV158 @ SV351 ) )
= $true )
| ( ( ! [SY1140: a] :
( ~ ( member_a @ SY1140 @ SV158 )
| ( member_a @ SY1140 @ SV351 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1160]) ).
thf(1391,plain,
! [SV159: set_a] :
( ( ( finite_finite_a @ SV159 )
= $false )
| ( ( ( SV159 = bot_bot_set_a )
| ~ ( member_a @ ( sup @ ( sK4_X2 @ SV159 ) @ ( sK5_SY724 @ SV159 ) ) @ ( insert_a @ ( sK4_X2 @ SV159 ) @ ( insert_a @ ( sK5_SY724 @ SV159 ) @ bot_bot_set_a ) ) )
| ( member_a @ ( lattic1781219155_fin_a @ sup @ SV159 ) @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1392,plain,
! [SV160: set_a] :
( ( ( finite_finite_a @ SV160 )
= $false )
| ( ( ! [SY945: a] :
( ( member_a @ SY945 @ SV160 )
| ( SV160 = bot_bot_set_a )
| ( ( lattic1781219155_fin_a @ sup @ ( insert_a @ SY945 @ SV160 ) )
= ( sup @ SY945 @ ( lattic1781219155_fin_a @ sup @ SV160 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1393,plain,
! [SV161: set_a] :
( ( ( finite_finite_a @ SV161 )
= $false )
| ( ( ( SV161 = bot_bot_set_a )
| ~ ( member_a @ ( inf @ ( sK2_X2 @ SV161 ) @ ( sK3_SY723 @ SV161 ) ) @ ( insert_a @ ( sK2_X2 @ SV161 ) @ ( insert_a @ ( sK3_SY723 @ SV161 ) @ bot_bot_set_a ) ) )
| ( member_a @ ( lattic247676691_fin_a @ inf @ SV161 ) @ SV161 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1394,plain,
! [SV162: set_a] :
( ( ( finite_finite_a @ SV162 )
= $false )
| ( ( ! [SY946: a] :
( ( member_a @ SY946 @ SV162 )
| ( SV162 = bot_bot_set_a )
| ( ( lattic247676691_fin_a @ inf @ ( insert_a @ SY946 @ SV162 ) )
= ( inf @ SY946 @ ( lattic247676691_fin_a @ inf @ SV162 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1395,plain,
! [SV352: set_a,SV165: a] :
( ( ~ ( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
| ( condit1627435690bove_a @ less_eq @ SV352 ) )
| ~ ( ~ ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
| ~ ( condit1627435690bove_a @ less_eq @ SV352 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1165]) ).
thf(1396,plain,
! [SV352: set_a,SV165: a] :
( ( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
= ( condit1627435690bove_a @ less_eq @ SV352 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1165]) ).
thf(1397,plain,
! [SV353: set_a,SV166: a] :
( ( ~ ( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
| ( condit1001553558elow_a @ less_eq @ SV353 ) )
| ~ ( ~ ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
| ~ ( condit1001553558elow_a @ less_eq @ SV353 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1166]) ).
thf(1398,plain,
! [SV353: set_a,SV166: a] :
( ( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
= ( condit1001553558elow_a @ less_eq @ SV353 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1166]) ).
thf(1399,plain,
! [SV169: set_a] :
( ( ( finite_finite_a @ SV169 )
= $false )
| ( ( ( SV169 = bot_bot_set_a )
| ! [SY949: a] :
( ( lattic247676691_fin_a @ inf @ ( insert_a @ SY949 @ SV169 ) )
= ( inf @ SY949 @ ( lattic247676691_fin_a @ inf @ SV169 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1400,plain,
! [SV170: set_a] :
( ( ( finite_finite_a @ SV170 )
= $false )
| ( ( ( SV170 = bot_bot_set_a )
| ! [SY950: a] :
( ( lattic1781219155_fin_a @ sup @ ( insert_a @ SY950 @ SV170 ) )
= ( sup @ SY950 @ ( lattic1781219155_fin_a @ sup @ SV170 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1401,plain,
! [SV354: a,SV171: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV171 @ ( insert_a @ SV354 @ bot_bot_set_a ) ) )
= $true )
| ( ( ( SV171 = bot_bot_set_a )
| ( SV171
= ( insert_a @ SV354 @ bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1169]) ).
thf(1402,plain,
! [SV355: a,SV172: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
| ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
| ~ ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1170]) ).
thf(1403,plain,
! [SV355: a,SV172: set_a] :
( ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
= ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1170]) ).
thf(1404,plain,
! [SV356: set_a,SV173: set_a] :
( ( ( ~ ( member_set_a @ SV173 @ ( insert_set_a @ SV356 @ bot_bot_set_set_a ) ) )
= $true )
| ( ( SV173 = SV356 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1171]) ).
thf(1405,plain,
! [SV357: a,SV174: a] :
( ( ( ~ ( member_a @ SV174 @ ( insert_a @ SV357 @ bot_bot_set_a ) ) )
= $true )
| ( ( SV174 = SV357 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1172]) ).
thf(1406,plain,
! [SV358: set_a,SV175: set_a] :
( ( ~ ( ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
| ( SV175 = SV358 ) )
| ~ ( ~ ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
| ( SV175 != SV358 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1173]) ).
thf(1407,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
= ( SV175 = SV358 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1173]) ).
thf(1408,plain,
! [SV359: a,SV176: a] :
( ( ~ ( ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
| ( SV176 = SV359 ) )
| ~ ( ~ ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
| ( SV176 != SV359 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1174]) ).
thf(1409,plain,
! [SV359: a,SV176: a] :
( ( ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
= ( SV176 = SV359 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1174]) ).
thf(1410,plain,
! [SV360: set_a,SV177: a] :
( ( ( insert_a @ SV177 @ SV360 )
= bot_bot_set_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1411,plain,
! [SV361: a,SV178: a] :
( ( ( ( ( insert_a @ SV178 @ bot_bot_set_a )
!= ( insert_a @ SV361 @ bot_bot_set_a ) ) )
= $true )
| ( ( SV178 = SV361 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1176]) ).
thf(1412,plain,
! [SV362: set_a,SV179: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV179 @ SV362 ) )
= $true )
| ( ( ! [SY1141: a] : ( ord_less_eq_set_a @ SV179 @ ( insert_a @ SY1141 @ SV362 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1177]) ).
thf(1413,plain,
! [SV364: set_set_a,SV181: set_a] :
( ( ( member_set_a @ SV181 @ SV364 )
= $true )
| ( ( ! [SY1142: set_set_a] :
( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SY1142 ) )
= ( ord_le318720350_set_a @ SV364 @ SY1142 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1179]) ).
thf(1414,plain,
! [SV365: set_a,SV182: a] :
( ( ( member_a @ SV182 @ SV365 )
= $true )
| ( ( ! [SY1143: set_a] :
( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SY1143 ) )
= ( ord_less_eq_set_a @ SV365 @ SY1143 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1180]) ).
thf(1415,plain,
! [SV366: set_a,SV183: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV183 @ SV366 ) )
= $true )
| ( ( ! [SY1144: a] : ( ord_less_eq_set_a @ ( insert_a @ SY1144 @ SV183 ) @ ( insert_a @ SY1144 @ SV366 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1181]) ).
thf(1416,plain,
! [SV367: a,SV184: a] :
( ( ( ( SV184 != SV367 ) )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV184 @ SV367 )
= ( insert_a @ SV184 @ bot_bot_set_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1417,plain,
! [SV368: set_set_a,SV185: set_a] :
( ( ~ ( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
| ( finite_finite_set_a @ SV368 ) )
| ~ ( ~ ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
| ~ ( finite_finite_set_a @ SV368 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1183]) ).
thf(1418,plain,
! [SV368: set_set_a,SV185: set_a] :
( ( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
= ( finite_finite_set_a @ SV368 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1183]) ).
thf(1419,plain,
! [SV369: set_a,SV186: a] :
( ( ~ ( ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
| ( finite_finite_a @ SV369 ) )
| ~ ( ~ ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
| ~ ( finite_finite_a @ SV369 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1184]) ).
thf(1420,plain,
! [SV369: set_a,SV186: a] :
( ( ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
= ( finite_finite_a @ SV369 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1184]) ).
thf(1421,plain,
! [SV370: a,SV187: a] :
( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
| ~ ( less_eq @ SV187 @ SV370 ) )
| ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
!= bot_bot_set_a )
| ~ ~ ( less_eq @ SV187 @ SV370 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1185]) ).
thf(1422,plain,
! [SV370: a,SV187: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
= ( ~ ( less_eq @ SV187 @ SV370 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1185]) ).
thf(1423,plain,
! [SV371: a,SV188: a] :
( ( ~ ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
| ~ ( less_eq @ SV188 @ SV371 ) )
| ~ ( ( bot_bot_set_a
!= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
| ~ ~ ( less_eq @ SV188 @ SV371 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1186]) ).
thf(1424,plain,
! [SV371: a,SV188: a] :
( ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
= ( ~ ( less_eq @ SV188 @ SV371 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1186]) ).
thf(1425,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
= ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1189]) ).
thf(1426,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
= ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1190]) ).
thf(1427,plain,
! [SV194: a > a > a] :
( ( ( finite40241356em_a_a @ SV194 )
= $false )
| ( ( ! [SY979: a,SY980: a] :
( ( SV194 @ SY979 @ ( SV194 @ SY979 @ SY980 ) )
= ( SV194 @ SY979 @ SY980 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1191]) ).
thf(1428,plain,
! [SV195: set_a] :
( ( ( finite_finite_a @ SV195 )
= $false )
| ( ( ( SV195 = bot_bot_set_a )
| ! [SY981: a] :
( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SY981 )
= ( ! [SY982: a] :
( ~ ( member_a @ SY982 @ SV195 )
| ( less_eq @ SY982 @ SY981 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1429,plain,
! [SV376: a,SV196: a > $o] :
( ( ( ~ ( SV196 @ SV376 ) )
= $true )
| ( ( ~ ( ~ ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
| ~ ~ ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 ) )
| ! [SY1147: a > $o] :
( ~ ( ~ ( SV196 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1148: a] :
( ~ ( SV196 @ SY1148 )
| ( less_eq @ SY1148 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) )
| ~ ~ ( SY1147 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) ) )
| ( SY1147 @ ( greatest_a @ less_eq @ SV196 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1193]) ).
thf(1430,plain,
! [SV197: set_a] :
( ( ( finite_finite_a @ SV197 )
= $false )
| ( ( ( SV197 = bot_bot_set_a )
| ! [SY986: a] :
( ~ ( ~ ( member_a @ ( sK11_A4 @ SY986 @ SV197 ) @ SV197 )
| ~ ~ ( less_eq @ ( sK11_A4 @ SY986 @ SV197 ) @ SY986 ) )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV197 ) @ SY986 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1431,plain,
! [SV198: set_a] :
( ( ( ~ ( ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1195]) ).
thf(1432,plain,
! [SV421: a,SV377: a,SV199: a] :
( ( ! [SY1184: a] :
( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SY1184 ) )
= ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SY1184 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1197]) ).
thf(1433,plain,
! [SV200: a] :
( ( ~ ! [SY992: a,SY993: a] :
( ~ ( less_eq @ ( sup @ SV200 @ SY992 ) @ SY993 )
| ( less_eq @ SV200 @ SY993 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1434,plain,
! [SV200: a] :
( ( ~ ! [SY994: a,SY995: a] :
( ~ ( less_eq @ ( sup @ SV200 @ SY994 ) @ SY995 )
| ( less_eq @ SY994 @ SY995 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1435,plain,
! [SV422: a,SV378: set_a,SV201: a] :
( ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= ( ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1199]) ).
thf(1436,plain,
! [SV379: set_a] :
( ( ! [SV423: set_a] :
( ( ord_less_eq_set_a @ SV379 @ SV423 )
= ( ! [SY1185: a] :
( ~ ( member_a @ SY1185 @ SV379 )
| ( member_a @ SY1185 @ SV423 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1200]) ).
thf(1437,plain,
! [SV379: set_a] :
( ( ( ord_less_eq_set_a @ SV379 )
= ( ^ [SY1152: set_a] :
! [SY1153: a] :
( ~ ( member_a @ SY1153 @ SV379 )
| ( member_a @ SY1153 @ SY1152 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1200]) ).
thf(1438,plain,
! [SV424: set_set_a,SV380: set_set_a,SV203: set_a] :
( ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= ( ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1201]) ).
thf(1439,plain,
! [SV425: a,SV381: a,SV204: a] :
( ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= ( ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1202]) ).
thf(1440,plain,
! [SV382: set_set_a] :
( ( ! [SV426: set_set_a] :
( ( ord_le318720350_set_a @ SV382 @ SV426 )
= ( ! [SY1186: set_a] :
( ~ ( member_set_a @ SY1186 @ SV382 )
| ( member_set_a @ SY1186 @ SV426 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1203]) ).
thf(1441,plain,
! [SV382: set_set_a] :
( ( ( ord_le318720350_set_a @ SV382 )
= ( ^ [SY1156: set_set_a] :
! [SY1157: set_a] :
( ~ ( member_set_a @ SY1157 @ SV382 )
| ( member_set_a @ SY1157 @ SY1156 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1203]) ).
thf(1442,plain,
! [SV206: a > set_a] :
( ( ( ~ ( ( antimono_a_set_a @ less_eq @ SV206 )
| ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( antimono_a_set_a @ less_eq @ SV206 )
| ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1204]) ).
thf(1443,plain,
! [SV383: a,SV207: a > $o] :
( ( ( ~ ( SV207 @ SV383 ) )
= $true )
| ( ( ~ ( ~ ( SV207 @ ( sK26_Y2 @ SV383 @ SV207 ) )
| ~ ~ ( less_eq @ SV383 @ ( sK26_Y2 @ SV383 @ SV207 ) ) )
| ( ( least_a @ less_eq @ SV207 )
= SV383 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1206]) ).
thf(1444,plain,
! [SV384: a,SV208: a > $o] :
( ( ( ~ ( SV208 @ SV384 ) )
= $true )
| ( ( ~ ( ~ ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
| ~ ~ ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) ) )
| ! [SY1158: a > $o] :
( ~ ( ~ ( SV208 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1159: a] :
( ~ ( SV208 @ SY1159 )
| ( less_eq @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) @ SY1159 ) )
| ~ ~ ( SY1158 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) ) ) )
| ( SY1158 @ ( least_a @ less_eq @ SV208 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1207]) ).
thf(1445,plain,
! [SV385: a] :
( ( ! [SV427: a] :
( ( SV385 = SV427 )
= ( ~ ( ~ ( less_eq @ SV385 @ SV427 )
| ~ ( less_eq @ SV427 @ SV385 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1208]) ).
thf(1446,plain,
! [SV385: a] :
( ( ( ^ [SY1160: a] : ( SV385 = SY1160 ) )
= ( ^ [SY1161: a] :
~ ( ~ ( less_eq @ SV385 @ SY1161 )
| ~ ( less_eq @ SY1161 @ SV385 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1208]) ).
thf(1447,plain,
! [SV428: a,SV386: a,SV210: a] :
( ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= ( ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1209]) ).
thf(1448,plain,
! [SV387: a,SV211: a > $o] :
( ( ( ~ ( SV211 @ SV387 ) )
= $true )
| ( ( ~ ( ~ ( SV211 @ ( sK33_Y2 @ SV387 @ SV211 ) )
| ~ ~ ( less_eq @ ( sK33_Y2 @ SV387 @ SV211 ) @ SV387 ) )
| ( ( greatest_a @ less_eq @ SV211 )
= SV387 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1210]) ).
thf(1449,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( max_a @ less_eq @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1450,plain,
( ( ! [SX0: a,SX1: a] :
( ( less_eq @ SX0 @ SX1 )
| ( ( max_a @ less_eq @ SX0 @ SX1 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1212]) ).
thf(1451,plain,
! [SV429: a,SV388: a,SV212: a] :
( ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= ( ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1213]) ).
thf(1452,plain,
! [SV213: a > a > a] :
( ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false )
| ( ( ~ ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
| ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK44_SY743 @ SV213 ) )
| ~ ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) )
| ~ ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) ) ) )
| ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1453,plain,
! [SV214: set_a,SV430: a] :
( ( ( ~ ( ~ ( member_a @ ( sK25_X2 @ SV430 @ SV214 ) @ SV214 )
| ~ ~ ( less_eq @ SV430 @ ( sK25_X2 @ SV430 @ SV214 ) ) ) )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV214 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1215]) ).
thf(1454,plain,
! [SV389: a] :
( ( ! [SV431: a] :
( ( SV389 = SV431 )
= ( ~ ( ~ ( less_eq @ SV389 @ SV431 )
| ~ ( less_eq @ SV431 @ SV389 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1216]) ).
thf(1455,plain,
! [SV389: a] :
( ( ( ^ [SY1164: a] : ( SV389 = SY1164 ) )
= ( ^ [SY1165: a] :
~ ( ~ ( less_eq @ SV389 @ SY1165 )
| ~ ( less_eq @ SY1165 @ SV389 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1216]) ).
thf(1456,plain,
! [SV216: a] :
( ( ~ ! [SY1024: a] :
( ! [SY1025: a] :
~ ( less_eq @ SV216 @ ( inf @ SY1024 @ SY1025 ) )
| ( less_eq @ SV216 @ SY1024 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1457,plain,
! [SV216: a] :
( ( ~ ! [SY1026: a,SY1027: a] :
( ~ ( less_eq @ SV216 @ ( inf @ SY1026 @ SY1027 ) )
| ( less_eq @ SV216 @ SY1027 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1458,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ! [SY1187: a] :
( ~ ( SV217 @ SY1187 )
| ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SY1187 ) )
| ~ ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) ) )
| ~ ( ( ( sK30_Y2 @ SV432 @ SV217 )
!= SV432 ) ) )
| ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1459,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ! [SY1188: a] :
( ~ ( SV218 @ SY1188 )
| ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SY1188 ) )
| ~ ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) ) )
| ~ ( ( ( sK32_Y2 @ SV433 @ SV218 )
!= SV433 ) ) )
| ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1219]) ).
thf(1460,plain,
! [SV219: set_a] :
( ( ( finite_finite_a @ SV219 )
= $false )
| ( ( ( SV219 = bot_bot_set_a )
| ~ ( ~ ! [SY1033: a] :
( ~ ( member_a @ SY1033 @ SV219 )
| ~ ( less_eq @ SY1033 @ ( sK14_X2 @ SV219 ) )
| ( ( sK14_X2 @ SV219 )
= SY1033 ) )
| ~ ( member_a @ ( sK14_X2 @ SV219 ) @ SV219 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1220]) ).
thf(1461,plain,
! [SV220: a] :
( ( ~ ! [SY1034: a,SY1035: a] :
( ~ ( less_eq @ ( sup @ SV220 @ SY1034 ) @ SY1035 )
| ( less_eq @ SV220 @ SY1035 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1221]) ).
thf(1462,plain,
! [SV220: a] :
( ( ~ ! [SY1036: a,SY1037: a] :
( ~ ( less_eq @ ( sup @ SV220 @ SY1036 ) @ SY1037 )
| ( less_eq @ SY1036 @ SY1037 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1221]) ).
thf(1463,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ~ ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1222]) ).
thf(1464,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= ( ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1222]) ).
thf(1465,plain,
! [SV222: set_a] :
( ( ( finite_finite_a @ SV222 )
= $false )
| ( ( ! [SY1040: a] :
( ~ ( member_a @ SY1040 @ SV222 )
| ~ ( ~ ! [SY1041: a] :
( ~ ( member_a @ SY1041 @ SV222 )
| ~ ( less_eq @ SY1041 @ ( sK19_X2 @ SY1040 @ SV222 ) )
| ( ( sK19_X2 @ SY1040 @ SV222 )
= SY1041 ) )
| ~ ~ ( ~ ( less_eq @ ( sK19_X2 @ SY1040 @ SV222 ) @ SY1040 )
| ~ ( member_a @ ( sK19_X2 @ SY1040 @ SV222 ) @ SV222 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1466,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= ( ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1467,plain,
! [SV392: a] :
( ( ! [SV435: a] :
( ( SV392 = SV435 )
= ( ~ ( ~ ( less_eq @ SV435 @ SV392 )
| ~ ( less_eq @ SV392 @ SV435 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1225]) ).
thf(1468,plain,
! [SV392: a] :
( ( ( ^ [SY1168: a] : ( SV392 = SY1168 ) )
= ( ^ [SY1169: a] :
~ ( ~ ( less_eq @ SY1169 @ SV392 )
| ~ ( less_eq @ SV392 @ SY1169 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1225]) ).
thf(1469,plain,
! [SV225: a > set_a] :
( ( ( ~ ( ( mono_a_set_a @ less_eq @ SV225 )
| ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( mono_a_set_a @ less_eq @ SV225 )
| ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1226]) ).
thf(1470,plain,
! [SV226: set_set_a,SV393: set_set_a] :
( ( ( ~ ( ~ ( member_set_a @ ( sK10_X2 @ SV393 @ SV226 ) @ SV226 )
| ~ ~ ( member_set_a @ ( sK10_X2 @ SV393 @ SV226 ) @ SV393 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV226 @ SV393 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1228]) ).
thf(1471,plain,
! [SV227: set_a] :
( ( ( finite_finite_a @ SV227 )
= $false )
| ( ( ! [SY1049: a] :
( ~ ( member_a @ SY1049 @ SV227 )
| ~ ( ~ ! [SY1050: a] :
( ~ ( member_a @ SY1050 @ SV227 )
| ~ ( less_eq @ ( sK20_X2 @ SY1049 @ SV227 ) @ SY1050 )
| ( ( sK20_X2 @ SY1049 @ SV227 )
= SY1050 ) )
| ~ ~ ( ~ ( less_eq @ SY1049 @ ( sK20_X2 @ SY1049 @ SV227 ) )
| ~ ( member_a @ ( sK20_X2 @ SY1049 @ SV227 ) @ SV227 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1472,plain,
! [SV228: set_set_a] :
( ( ( ~ ( ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ( SV228 != bot_bot_set_set_a ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ~ ( ( SV228 != bot_bot_set_set_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1230]) ).
thf(1473,plain,
! [SV229: a > set_a] :
( ( ( ~ ( less_eq @ ( sK15_X2 @ SV229 ) @ ( sK16_SY727 @ SV229 ) )
| ~ ~ ( ord_less_eq_set_a @ ( SV229 @ ( sK15_X2 @ SV229 ) ) @ ( SV229 @ ( sK16_SY727 @ SV229 ) ) ) )
= $false )
| ( ( mono_a_set_a @ less_eq @ SV229 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1474,plain,
! [SV394: set_a] :
( ( ! [SV436: set_a] :
( ( SV394 = SV436 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV436 )
| ~ ( ord_less_eq_set_a @ SV436 @ SV394 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1233]) ).
thf(1475,plain,
! [SV394: set_a] :
( ( ( ^ [SY1170: set_a] : ( SV394 = SY1170 ) )
= ( ^ [SY1171: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SV394 @ SY1171 )
| ~ ( ord_less_eq_set_a @ SY1171 @ SV394 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1233]) ).
thf(1476,plain,
! [SV395: set_set_a] :
( ( ! [SV437: set_set_a] :
( ( ord_le318720350_set_a @ SV395 @ SV437 )
= ( ! [SY1189: set_a] :
( ~ ( member_set_a @ SY1189 @ SV395 )
| ( member_set_a @ SY1189 @ SV437 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1234]) ).
thf(1477,plain,
! [SV395: set_set_a] :
( ( ( ord_le318720350_set_a @ SV395 )
= ( ^ [SY1172: set_set_a] :
! [SY1173: set_a] :
( ~ ( member_set_a @ SY1173 @ SV395 )
| ( member_set_a @ SY1173 @ SY1172 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1234]) ).
thf(1478,plain,
! [SV232: a > a > a] :
( ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false )
| ( ( ~ ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
| ~ ( ~ ( less_eq @ ( sK37_SY738 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( ~ ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) ) ) )
| ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1479,plain,
! [SV233: set_a,SV438: a] :
( ( ( ~ ( ~ ( member_a @ ( sK24_X2 @ SV438 @ SV233 ) @ SV233 )
| ~ ~ ( less_eq @ ( sK24_X2 @ SV438 @ SV233 ) @ SV438 ) ) )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV233 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1236]) ).
thf(1480,plain,
! [SV234: a] :
( ( ~ ! [SY1059: a] :
( ! [SY1060: a] :
~ ( less_eq @ SV234 @ ( inf @ SY1059 @ SY1060 ) )
| ( less_eq @ SV234 @ SY1059 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1481,plain,
! [SV234: a] :
( ( ~ ! [SY1061: a,SY1062: a] :
( ~ ( less_eq @ SV234 @ ( inf @ SY1061 @ SY1062 ) )
| ( less_eq @ SV234 @ SY1062 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1482,plain,
! [SV235: a > set_a] :
( ( ( ~ ( less_eq @ ( sK17_X2 @ SV235 ) @ ( sK18_SY728 @ SV235 ) )
| ~ ~ ( ord_less_eq_set_a @ ( SV235 @ ( sK18_SY728 @ SV235 ) ) @ ( SV235 @ ( sK17_X2 @ SV235 ) ) ) )
= $false )
| ( ( antimono_a_set_a @ less_eq @ SV235 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1483,plain,
! [SV439: a,SV396: a,SV236: a] :
( ( ! [SY1190: a] :
( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SY1190 @ bot_bot_set_a ) ) )
= ( ~ ( ( SV236 != SV439 )
| ( SV396 != SY1190 ) )
| ~ ( ( SV236 != SY1190 )
| ( SV396 != SV439 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1239]) ).
thf(1484,plain,
! [SV440: set_a,SV397: set_a,SV237: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= ( ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1240]) ).
thf(1485,plain,
! [SV441: set_a,SV398: a,SV238: a] :
( ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= ( ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1241]) ).
thf(1486,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1487,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_a @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1243]) ).
thf(1488,plain,
! [SV239: set_a] :
( ( ( finite_finite_a @ SV239 )
= $false )
| ( ( ( SV239 = bot_bot_set_a )
| ! [SY1070: a] :
( ~ ( ~ ( member_a @ ( sK12_A4 @ SY1070 @ SV239 ) @ SV239 )
| ~ ~ ( less_eq @ SY1070 @ ( sK12_A4 @ SY1070 @ SV239 ) ) )
| ( less_eq @ SY1070 @ ( lattic247676691_fin_a @ inf @ SV239 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1489,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= ( ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1245]) ).
thf(1490,plain,
! [SV241: set_set_a] :
( ( ( finite_finite_set_a @ SV241 )
= $false )
| ( ( ! [SY1073: set_a] :
( ~ ( member_set_a @ SY1073 @ SV241 )
| ~ ( ~ ! [SY1074: set_a] :
( ~ ( member_set_a @ SY1074 @ SV241 )
| ~ ( ord_less_eq_set_a @ SY1074 @ ( sK1_X2 @ SY1073 @ SV241 ) )
| ( ( sK1_X2 @ SY1073 @ SV241 )
= SY1074 ) )
| ~ ~ ( ~ ( member_set_a @ ( sK1_X2 @ SY1073 @ SV241 ) @ SV241 )
| ~ ( ord_less_eq_set_a @ ( sK1_X2 @ SY1073 @ SV241 ) @ SY1073 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1491,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= ( ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1492,plain,
! [SV243: set_a,SV401: set_a] :
( ( ( ~ ( ~ ( member_a @ ( sK9_X2 @ SV401 @ SV243 ) @ SV243 )
| ~ ~ ( member_a @ ( sK9_X2 @ SV401 @ SV243 ) @ SV401 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV243 @ SV401 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1248]) ).
thf(1493,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( min_a @ less_eq @ SX0 @ SX1 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1249]) ).
thf(1494,plain,
( ( ! [SX0: a,SX1: a] :
( ( less_eq @ SX0 @ SX1 )
| ( ( min_a @ less_eq @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1495,plain,
! [SV244: set_a] :
( ( ( finite_finite_a @ SV244 )
= $false )
| ( ( ( SV244 = bot_bot_set_a )
| ! [SY1078: a] :
( ( less_eq @ SY1078 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= ( ! [SY1079: a] :
( ~ ( member_a @ SY1079 @ SV244 )
| ( less_eq @ SY1078 @ SY1079 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1496,plain,
! [SV444: a,SV402: a,SV245: a] :
( ( ! [SY1191: a] :
( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SY1191 ) )
= ( ~ ( ( SV245 != SV444 )
| ( SV402 != SY1191 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SY1191 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1252]) ).
thf(1497,plain,
! [SV246: set_a] :
( ( ( ~ ( ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ( SV246 != bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ~ ( ( SV246 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1253]) ).
thf(1498,plain,
! [SV247: set_a] :
( ( ( ~ ( ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1255]) ).
thf(1499,plain,
! [SV403: a > $o,SV248: a > $o] :
( ( ( ~ ( ~ ( SV248 @ ( sK6_X2 @ SV403 @ SV248 ) )
| ~ ~ ( SV403 @ ( sK6_X2 @ SV403 @ SV248 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV248 ) @ ( collect_a @ SV403 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1257]) ).
thf(1500,plain,
! [SV404: set_a] :
( ( ! [SV445: set_a] :
( ( ord_less_eq_set_a @ SV404 @ SV445 )
= ( ! [SY1192: a] :
( ~ ( member_a @ SY1192 @ SV404 )
| ( member_a @ SY1192 @ SV445 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1258]) ).
thf(1501,plain,
! [SV404: set_a] :
( ( ( ord_less_eq_set_a @ SV404 )
= ( ^ [SY1182: set_a] :
! [SY1183: a] :
( ~ ( member_a @ SY1183 @ SV404 )
| ( member_a @ SY1183 @ SY1182 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1258]) ).
thf(1502,plain,
! [SV250: set_a] :
( ( ( finite_finite_a @ SV250 )
= $false )
| ( ( ( SV250 = bot_bot_set_a )
| ~ ( ~ ! [SY1089: a] :
( ~ ( member_a @ SY1089 @ SV250 )
| ~ ( less_eq @ ( sK13_X2 @ SV250 ) @ SY1089 )
| ( ( sK13_X2 @ SV250 )
= SY1089 ) )
| ~ ( member_a @ ( sK13_X2 @ SV250 ) @ SV250 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1503,plain,
! [SV446: a,SV13: a] :
( ( ( ! [SY1193: a] :
( ( sup @ SV13 @ ( inf @ SV446 @ SY1193 ) )
= ( inf @ ( sup @ SV13 @ SV446 ) @ ( sup @ SV13 @ SY1193 ) ) ) )
= $true )
| ( ( ( inf @ ( sK54_X2 @ SV13 ) @ ( sup @ ( sK55_SY751 @ SV13 ) @ ( sK56_SY753 @ SV13 ) ) )
= ( sup @ ( inf @ ( sK54_X2 @ SV13 ) @ ( sK55_SY751 @ SV13 ) ) @ ( inf @ ( sK54_X2 @ SV13 ) @ ( sK56_SY753 @ SV13 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1504,plain,
! [SV447: a,SV14: a] :
( ( ( ! [SY1194: a] :
( ( inf @ SV14 @ ( sup @ SV447 @ SY1194 ) )
= ( sup @ ( inf @ SV14 @ SV447 ) @ ( inf @ SV14 @ SY1194 ) ) ) )
= $true )
| ( ( ( sup @ ( sK51_X2 @ SV14 ) @ ( inf @ ( sK52_SY748 @ SV14 ) @ ( sK53_SY750 @ SV14 ) ) )
= ( inf @ ( sup @ ( sK51_X2 @ SV14 ) @ ( sK52_SY748 @ SV14 ) ) @ ( sup @ ( sK51_X2 @ SV14 ) @ ( sK53_SY750 @ SV14 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1505,plain,
! [SV278: a,SV34: a] :
( ( ( less_eq @ SV34 @ SV278 )
= $false )
| ( ( ~ ( less_eq @ SV278 @ SV34 )
| ( SV34 = SV278 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1506,plain,
! [SV279: set_a > $o,SV35: set_a] :
( ( ( ~ ( ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
| ( SV279 @ SV35 ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
| ~ ( SV279 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1277]) ).
thf(1507,plain,
! [SV280: a > $o,SV36: a] :
( ( ( ~ ( ( member_a @ SV36 @ ( collect_a @ SV280 ) )
| ( SV280 @ SV36 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV36 @ ( collect_a @ SV280 ) )
| ~ ( SV280 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1279]) ).
thf(1508,plain,
! [SV281: a > $o,SV39: a > $o] :
( ( ( ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) )
= ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) ) )
= $false )
| ( ( ( collect_a @ SV39 )
= ( collect_a @ SV281 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1509,plain,
! [SV282: a,SV40: a] :
( ( ( less_eq @ SV40 @ SV282 )
= $false )
| ( ( ( less_eq @ SV282 @ SV40 )
= ( SV282 = SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1510,plain,
! [SV283: a,SV41: a] :
( ( ( less_eq @ SV41 @ SV283 )
= $false )
| ( ( ~ ( less_eq @ SV283 @ SV41 )
| ( SV283 = SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1511,plain,
! [SV284: a,SV42: a] :
( ( ( less_eq @ SV42 @ SV284 )
= $false )
| ( ( ! [SY1104: a] :
( ~ ( less_eq @ SY1104 @ SV42 )
| ( less_eq @ SY1104 @ SV284 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1512,plain,
! [SV285: a,SV43: a] :
( ( ( SV43 = SV285 )
= $false )
| ( ( less_eq @ SV43 @ SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1285]) ).
thf(1513,plain,
! [SV286: a,SV44: a] :
( ( ( SV44 = SV286 )
= $false )
| ( ( ! [SY1105: a] :
( ~ ( less_eq @ SV286 @ SY1105 )
| ( less_eq @ SV44 @ SY1105 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1514,plain,
! [SV287: a,SV45: a] :
( ( ( less_eq @ SV45 @ SV287 )
= $false )
| ( ( ! [SY1106: a] :
( ( SV287 != SY1106 )
| ( less_eq @ SV45 @ SY1106 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1515,plain,
! [SV288: a,SV46: a] :
( ( ( less_eq @ SV46 @ SV288 )
= $false )
| ( ( ~ ( less_eq @ SV288 @ SV46 )
| ( SV46 = SV288 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1288]) ).
thf(1516,plain,
! [SV289: a,SV47: a] :
( ( ( less_eq @ SV47 @ SV289 )
= $false )
| ( ( ! [SY1107: a] :
( ~ ( less_eq @ SV289 @ SY1107 )
| ( less_eq @ SV47 @ SY1107 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1517,plain,
! [SV290: a,SV48: a] :
( ( ( less_eq @ SV48 @ SV290 )
= $false )
| ( ( ! [SY1108: a] :
( ~ ( less_eq @ SV290 @ SY1108 )
| ( less_eq @ SV48 @ SY1108 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1290]) ).
thf(1518,plain,
! [SV291: a,SV49: a] :
( ( ( less_eq @ SV49 @ SV291 )
= $false )
| ( ( ! [SY1109: a] : ( less_eq @ ( inf @ SY1109 @ SV49 ) @ SV291 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1291]) ).
thf(1519,plain,
! [SV292: a,SV50: a] :
( ( ( less_eq @ SV50 @ SV292 )
= $false )
| ( ( ! [SY1110: a] : ( less_eq @ ( inf @ SV50 @ SY1110 ) @ SV292 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1520,plain,
! [SV293: a,SV51: a] :
( ( ( less_eq @ SV51 @ SV293 )
= $false )
| ( ( ! [SY1111: a] :
( ~ ( less_eq @ SV51 @ SY1111 )
| ( less_eq @ SV51 @ ( inf @ SV293 @ SY1111 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1521,plain,
! [SV294: a,SV52: a] :
( ( ( ~ ( ( less_eq @ SV52 @ SV294 )
| ( ( inf @ SV52 @ SV294 )
= SV52 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV52 @ SV294 )
| ( ( inf @ SV52 @ SV294 )
!= SV52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1294]) ).
thf(1522,plain,
! [SV295: a,SV53: a] :
( ( ( less_eq @ SV53 @ SV295 )
= $false )
| ( ( ! [SY1112: a,SY1113: a] :
( ~ ( less_eq @ SY1112 @ SY1113 )
| ( less_eq @ ( inf @ SV53 @ SY1112 ) @ ( inf @ SV295 @ SY1113 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1523,plain,
! [SV298: a,SV56: a] :
( ( ( less_eq @ SV56 @ SV298 )
= $false )
| ( ( ! [SY1114: a] :
( ~ ( less_eq @ SV56 @ SY1114 )
| ( less_eq @ SV56 @ ( inf @ SV298 @ SY1114 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1524,plain,
! [SV299: a,SV57: a] :
( ( ( less_eq @ SV57 @ SV299 )
= $false )
| ( ( ( inf @ SV299 @ SV57 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1298]) ).
thf(1525,plain,
! [SV300: a,SV58: a] :
( ( ( less_eq @ SV58 @ SV300 )
= $false )
| ( ( ( inf @ SV58 @ SV300 )
= SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1526,plain,
! [SV301: a,SV59: a] :
( ( ( ~ ( ( less_eq @ SV59 @ SV301 )
| ( SV59
= ( inf @ SV59 @ SV301 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV59 @ SV301 )
| ( SV59
!= ( inf @ SV59 @ SV301 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1300]) ).
thf(1527,plain,
! [SV302: a,SV60: a] :
( ( ( SV60
= ( inf @ SV60 @ SV302 ) )
= $false )
| ( ( less_eq @ SV60 @ SV302 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1302]) ).
thf(1528,plain,
! [SV303: a,SV61: a] :
( ( ( less_eq @ SV61 @ SV303 )
= $false )
| ( ( SV61
= ( inf @ SV61 @ SV303 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1303]) ).
thf(1529,plain,
! [SV304: a,SV62: a] :
( ( ( less_eq @ SV62 @ SV304 )
= $false )
| ( ( ! [SY1115: a] : ( less_eq @ ( inf @ SY1115 @ SV62 ) @ SV304 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1530,plain,
! [SV305: a,SV63: a] :
( ( ( less_eq @ SV63 @ SV305 )
= $false )
| ( ( ! [SY1116: a] : ( less_eq @ ( inf @ SV63 @ SY1116 ) @ SV305 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1531,plain,
! [SV308: a,SV66: a] :
( ( ( less_eq @ SV66 @ SV308 )
= $false )
| ( ( ! [SY1117: a] :
( ~ ( less_eq @ SV66 @ SY1117 )
| ( less_eq @ SV66 @ ( inf @ SV308 @ SY1117 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1306]) ).
thf(1532,plain,
! [SV309: a,SV67: a] :
( ( ( ~ ( ( less_eq @ SV67 @ SV309 )
| ( ( inf @ SV309 @ SV67 )
= SV67 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV67 @ SV309 )
| ( ( inf @ SV309 @ SV67 )
!= SV67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1307]) ).
thf(1533,plain,
! [SV310: a,SV68: a] :
( ( ( ~ ( ( less_eq @ SV68 @ SV310 )
| ( ( inf @ SV68 @ SV310 )
= SV68 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV68 @ SV310 )
| ( ( inf @ SV68 @ SV310 )
!= SV68 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1309]) ).
thf(1534,plain,
! [SV311: a,SV69: a] :
( ( ( less_eq @ SV69 @ SV311 )
= $false )
| ( ( ( inf @ SV311 @ SV69 )
= SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1311]) ).
thf(1535,plain,
! [SV312: a,SV70: a] :
( ( ( less_eq @ SV70 @ SV312 )
= $false )
| ( ( ( inf @ SV70 @ SV312 )
= SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1536,plain,
! [SV313: a,SV71: a] :
( ( ( less_eq @ SV71 @ SV313 )
= $false )
| ( ( ! [SY1118: a,SY1119: a] :
( ~ ( less_eq @ SY1118 @ SY1119 )
| ( less_eq @ ( sup @ SV71 @ SY1118 ) @ ( sup @ SV313 @ SY1119 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1537,plain,
! [SV314: a,SV72: a] :
( ( ( less_eq @ SV72 @ SV314 )
= $false )
| ( ( ! [SY1120: a] :
( ~ ( less_eq @ SY1120 @ SV314 )
| ( less_eq @ ( sup @ SV72 @ SY1120 ) @ SV314 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1314]) ).
thf(1538,plain,
! [SV317: a,SV75: a] :
( ( ( less_eq @ SV75 @ SV317 )
= $false )
| ( ( ( sup @ SV75 @ SV317 )
= SV317 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1315]) ).
thf(1539,plain,
! [SV318: a,SV76: a] :
( ( ( less_eq @ SV76 @ SV318 )
= $false )
| ( ( ( sup @ SV318 @ SV76 )
= SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1316]) ).
thf(1540,plain,
! [SV319: a,SV77: a] :
( ( ( ~ ( ( less_eq @ SV77 @ SV319 )
| ( SV319
= ( sup @ SV319 @ SV77 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV77 @ SV319 )
| ( SV319
!= ( sup @ SV319 @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1317]) ).
thf(1541,plain,
! [SV320: a,SV78: a] :
( ( ( SV78
= ( sup @ SV78 @ SV320 ) )
= $false )
| ( ( less_eq @ SV320 @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1542,plain,
! [SV321: a,SV79: a] :
( ( ( less_eq @ SV79 @ SV321 )
= $false )
| ( ( SV321
= ( sup @ SV321 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1320]) ).
thf(1543,plain,
! [SV322: a,SV80: a] :
( ( ( less_eq @ SV80 @ SV322 )
= $false )
| ( ( ! [SY1121: a,SY1122: a] :
( ~ ( less_eq @ SY1121 @ SY1122 )
| ( less_eq @ ( sup @ SV80 @ SY1121 ) @ ( sup @ SV322 @ SY1122 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1321]) ).
thf(1544,plain,
! [SV323: a,SV81: a] :
( ( ( less_eq @ SV81 @ SV323 )
= $false )
| ( ( ! [SY1123: a] : ( less_eq @ SV81 @ ( sup @ SY1123 @ SV323 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1322]) ).
thf(1545,plain,
! [SV324: a,SV82: a] :
( ( ( less_eq @ SV82 @ SV324 )
= $false )
| ( ( ! [SY1124: a] : ( less_eq @ SV82 @ ( sup @ SV324 @ SY1124 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1323]) ).
thf(1546,plain,
! [SV327: a,SV85: a] :
( ( ( less_eq @ SV85 @ SV327 )
= $false )
| ( ( ! [SY1125: a] :
( ~ ( less_eq @ SY1125 @ SV327 )
| ( less_eq @ ( sup @ SV85 @ SY1125 ) @ SV327 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1547,plain,
! [SV328: a,SV86: a] :
( ( ( ~ ( ( less_eq @ SV86 @ SV328 )
| ( ( sup @ SV86 @ SV328 )
= SV328 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV86 @ SV328 )
| ( ( sup @ SV86 @ SV328 )
!= SV328 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1325]) ).
thf(1548,plain,
! [SV329: a,SV87: a] :
( ( ( ~ ( ( less_eq @ SV87 @ SV329 )
| ( ( sup @ SV329 @ SV87 )
= SV329 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV87 @ SV329 )
| ( ( sup @ SV329 @ SV87 )
!= SV329 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1327]) ).
thf(1549,plain,
! [SV330: a,SV88: a] :
( ( ( less_eq @ SV88 @ SV330 )
= $false )
| ( ( ( sup @ SV88 @ SV330 )
= SV330 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1550,plain,
! [SV331: a,SV89: a] :
( ( ( less_eq @ SV89 @ SV331 )
= $false )
| ( ( ( sup @ SV331 @ SV89 )
= SV331 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1330]) ).
thf(1551,plain,
! [SV332: a,SV90: a] :
( ( ( less_eq @ SV90 @ SV332 )
= $false )
| ( ( ! [SY1126: a] : ( less_eq @ SV90 @ ( sup @ SY1126 @ SV332 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1552,plain,
! [SV333: a,SV91: a] :
( ( ( less_eq @ SV91 @ SV333 )
= $false )
| ( ( ! [SY1127: a] : ( less_eq @ SV91 @ ( sup @ SV333 @ SY1127 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1332]) ).
thf(1553,plain,
! [SV334: a,SV92: a] :
( ( ( less_eq @ SV92 @ SV334 )
= $false )
| ( ( ! [SY1128: a] :
( ~ ( less_eq @ SY1128 @ SV334 )
| ( less_eq @ ( sup @ SV92 @ SY1128 ) @ SV334 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1333]) ).
thf(1554,plain,
! [SV335: a,SV93: a] :
( ( ( ~ ( ( less_eq @ SV93 @ SV335 )
| ( ( sup @ SV93 @ SV335 )
= SV335 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV93 @ SV335 )
| ( ( sup @ SV93 @ SV335 )
!= SV335 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1334]) ).
thf(1555,plain,
! [SV336: a > a > a] :
( ( ( ~ ( ( lattic1885654924_set_a @ SV336 )
| ( semilattice_a @ SV336 ) ) )
= $true )
| ( ( ~ ( ~ ( lattic1885654924_set_a @ SV336 )
| ~ ( semilattice_a @ SV336 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1337]) ).
thf(1556,plain,
! [SV337: a,SV101: a > a > a] :
( ( ( abel_semigroup_a @ SV101 )
= $false )
| ( ( ! [SY1129: a,SY1130: a] :
( ( SV101 @ SV337 @ ( SV101 @ SY1129 @ SY1130 ) )
= ( SV101 @ SY1129 @ ( SV101 @ SV337 @ SY1130 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1342]) ).
thf(1557,plain,
! [SV448: a,SV102: a > a > a] :
( ( ( ! [SY1195: a] :
( ( SV102 @ ( SV102 @ SV448 @ SY1195 ) @ SY1195 )
= ( SV102 @ SV448 @ SY1195 ) ) )
= $true )
| ( ( semilattice_a @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1558,plain,
! [SV449: a,SV103: a > a > a] :
( ( ( ! [SY1196: a] :
( ( SV103 @ SV449 @ ( SV103 @ SV449 @ SY1196 ) )
= ( SV103 @ SV449 @ SY1196 ) ) )
= $true )
| ( ( semilattice_a @ SV103 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1559,plain,
! [SV450: a,SV104: a > a > a] :
( ( ( ! [SY1197: a] :
( ( SV104 @ SV450 @ SY1197 )
= ( SV104 @ SY1197 @ SV450 ) ) )
= $true )
| ( ( abel_semigroup_a @ SV104 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1345]) ).
thf(1560,plain,
! [SV451: a,SV105: a > a > a] :
( ( ( ( SV105 @ SV451 @ SV451 )
= SV451 )
= $true )
| ( ( semilattice_a @ SV105 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1346]) ).
thf(1561,plain,
! [SV338: a,SV107: a > a > a] :
( ( ( semigroup_a @ SV107 )
= $false )
| ( ( ! [SY1131: a,SY1132: a] :
( ( SV107 @ ( SV107 @ SV338 @ SY1131 ) @ SY1132 )
= ( SV107 @ SV338 @ ( SV107 @ SY1131 @ SY1132 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1348]) ).
thf(1562,plain,
! [SV339: a > a > a] :
( ( ( ~ ( ( semigroup_a @ SV339 )
| ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( semigroup_a @ SV339 )
| ~ ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1349]) ).
thf(1563,plain,
! [SV109: set_a,SV452: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV452 @ SV109 )
| ( condit1001553558elow_a @ less_eq @ SV452 ) )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV109 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1564,plain,
! [SV110: set_a,SV453: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV453 @ SV110 )
| ( condit1627435690bove_a @ less_eq @ SV453 ) )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1352]) ).
thf(1565,plain,
! [SV113: a > set_a,SV454: a] :
( ( ( ! [SY1198: a] :
( ~ ( less_eq @ SV454 @ SY1198 )
| ( ord_less_eq_set_a @ ( SV113 @ SY1198 ) @ ( SV113 @ SV454 ) ) ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1355]) ).
thf(1566,plain,
! [SV114: a > set_a,SV455: a] :
( ( ( ! [SY1199: a] :
( ~ ( less_eq @ SV455 @ SY1199 )
| ( ord_less_eq_set_a @ ( SV114 @ SY1199 ) @ ( SV114 @ SV455 ) ) ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV114 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(1567,plain,
! [SV115: a > set_a,SV456: a] :
( ( ( ! [SY1200: a] :
( ~ ( less_eq @ SV456 @ SY1200 )
| ( ord_less_eq_set_a @ ( SV115 @ SV456 ) @ ( SV115 @ SY1200 ) ) ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV115 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1357]) ).
thf(1568,plain,
! [SV116: a > set_a,SV457: a] :
( ( ( ! [SY1201: a] :
( ~ ( less_eq @ SV457 @ SY1201 )
| ( ord_less_eq_set_a @ ( SV116 @ SV457 ) @ ( SV116 @ SY1201 ) ) ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1569,plain,
! [SV117: set_a,SV458: a] :
( ( ( ~ ( member_a @ SV458 @ SV117 )
| ( less_eq @ SV458 @ ( lattic1781219155_fin_a @ sup @ SV117 ) ) )
= $true )
| ( ( finite_finite_a @ SV117 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1359]) ).
thf(1570,plain,
! [SV118: set_a,SV459: a] :
( ( ( ~ ( member_a @ SV459 @ SV118 )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ SV118 ) @ SV459 ) )
= $true )
| ( ( finite_finite_a @ SV118 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1360]) ).
thf(1571,plain,
! [SV119: set_a,SV460: a] :
( ( ( ~ ( member_a @ SV460 @ SV119 )
| ( ( sup @ SV460 @ ( lattic1781219155_fin_a @ sup @ SV119 ) )
= ( lattic1781219155_fin_a @ sup @ SV119 ) ) )
= $true )
| ( ( finite_finite_a @ SV119 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1361]) ).
thf(1572,plain,
! [SV120: set_a,SV461: a] :
( ( ( ~ ( member_a @ SV461 @ SV120 )
| ( ( inf @ SV461 @ ( lattic247676691_fin_a @ inf @ SV120 ) )
= ( lattic247676691_fin_a @ inf @ SV120 ) ) )
= $true )
| ( ( finite_finite_a @ SV120 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1573,plain,
! [SV121: set_a,SV462: a] :
( ( ( ~ ( member_a @ SV462 @ SV121 )
| ( ( inf @ SV462 @ ( lattic1781219155_fin_a @ sup @ SV121 ) )
= SV462 ) )
= $true )
| ( ( finite_finite_a @ SV121 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1363]) ).
thf(1574,plain,
! [SV122: set_a,SV463: a] :
( ( ( ~ ( member_a @ SV463 @ SV122 )
| ( ( sup @ ( lattic247676691_fin_a @ inf @ SV122 ) @ SV463 )
= SV463 ) )
= $true )
| ( ( finite_finite_a @ SV122 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1575,plain,
! [SV123: set_a] :
( ( ( SV123 = bot_bot_set_a )
= $true )
| ( ( less_eq @ ( lattic247676691_fin_a @ inf @ SV123 ) @ ( lattic1781219155_fin_a @ sup @ SV123 ) )
= $true )
| ( ( finite_finite_a @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1365]) ).
thf(1576,plain,
! [SV340: set_a,SV124: set_a] :
( ( ( ord_less_eq_set_a @ SV124 @ SV340 )
= $false )
| ( ( ( SV124 = bot_bot_set_a )
| ~ ( finite_finite_a @ SV340 )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV124 ) @ ( lattic1781219155_fin_a @ sup @ SV340 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1366]) ).
thf(1577,plain,
! [SV341: set_a,SV125: set_a] :
( ( ( ord_less_eq_set_a @ SV125 @ SV341 )
= $false )
| ( ( ( SV125 = bot_bot_set_a )
| ~ ( finite_finite_a @ SV341 )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ SV341 ) @ ( lattic247676691_fin_a @ inf @ SV125 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1367]) ).
thf(1578,plain,
! [SV126: set_a,SV464: set_a] :
( ( ( ( SV464 = bot_bot_set_a )
| ~ ( ord_less_eq_set_a @ SV464 @ SV126 )
| ( ( inf @ ( lattic247676691_fin_a @ inf @ SV464 ) @ ( lattic247676691_fin_a @ inf @ SV126 ) )
= ( lattic247676691_fin_a @ inf @ SV126 ) ) )
= $true )
| ( ( finite_finite_a @ SV126 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1368]) ).
thf(1579,plain,
! [SV127: set_a,SV465: set_a] :
( ( ( ( SV465 = bot_bot_set_a )
| ~ ( ord_less_eq_set_a @ SV465 @ SV127 )
| ( ( sup @ ( lattic1781219155_fin_a @ sup @ SV465 ) @ ( lattic1781219155_fin_a @ sup @ SV127 ) )
= ( lattic1781219155_fin_a @ sup @ SV127 ) ) )
= $true )
| ( ( finite_finite_a @ SV127 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1580,plain,
! [SV128: set_a] :
( ( ( SV128 = bot_bot_set_a )
= $true )
| ( ( ! [SY920: a] :
( ~ ( less_eq @ SY920 @ ( lattic247676691_fin_a @ inf @ SV128 ) )
| ! [SY921: a] :
( ~ ( member_a @ SY921 @ SV128 )
| ( less_eq @ SY920 @ SY921 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1370]) ).
thf(1581,plain,
! [SV129: set_a] :
( ( ( SV129 = bot_bot_set_a )
= $true )
| ( ( ! [SY922: a] :
( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV129 ) @ SY922 )
| ! [SY923: a] :
( ~ ( member_a @ SY923 @ SV129 )
| ( less_eq @ SY923 @ SY922 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1371]) ).
thf(1582,plain,
! [SV132: set_a] :
( ( ( ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
| ( SV132 = bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
| ( SV132 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1372]) ).
thf(1583,plain,
! [SV133: a > $o] :
( ( ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
| ! [SY924: a] :
~ ( SV133 @ SY924 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_a
!= ( collect_a @ SV133 ) )
| ~ ! [SY924: a] :
~ ( SV133 @ SY924 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1584,plain,
! [SV134: a > $o] :
( ( ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
| ! [SY925: a] :
~ ( SV134 @ SY925 ) )
= $false )
| ( ( ~ ( ( ( collect_a @ SV134 )
!= bot_bot_set_a )
| ~ ! [SY925: a] :
~ ( SV134 @ SY925 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1585,plain,
! [SV135: set_set_a] :
( ( ( ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 )
| ( SV135 = bot_bot_set_set_a ) )
= $false )
| ( ( ~ ( ~ ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 )
| ( SV135 != bot_bot_set_set_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1586,plain,
! [SV136: set_a] :
( ( ( ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 )
| ( SV136 = bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 )
| ( SV136 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1376]) ).
thf(1587,plain,
! [SV342: set_a,SV139: set_a] :
( ( ( ord_less_eq_set_a @ SV139 @ SV342 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV342 @ SV139 )
| ( SV139 = SV342 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1588,plain,
! [SV343: a,SV141: a] :
( ( ( ~ ( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
| ( less_eq @ SV343 @ SV141 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
| ~ ( less_eq @ SV343 @ SV141 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1378]) ).
thf(1589,plain,
! [SV344: a,SV142: a] :
( ( ( ~ ( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
| ( less_eq @ SV142 @ SV344 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
| ~ ( less_eq @ SV142 @ SV344 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1380]) ).
thf(1590,plain,
! [SV147: set_set_a,SV466: set_a] :
( ( ( ~ ( member_set_a @ SV466 @ SV147 ) )
= $true )
| ( ( SV147 = bot_bot_set_set_a )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1382]) ).
thf(1591,plain,
! [SV148: set_a,SV467: a] :
( ( ( ~ ( member_a @ SV467 @ SV148 ) )
= $true )
| ( ( SV148 = bot_bot_set_a )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1383]) ).
thf(1592,plain,
! [SV345: set_a,SV151: set_a] :
( ( ( ord_less_eq_set_a @ SV151 @ SV345 )
= $false )
| ( ( ! [SY1136: set_a] :
( ~ ( ord_less_eq_set_a @ SV345 @ SY1136 )
| ( ord_less_eq_set_a @ SV151 @ SY1136 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1384]) ).
thf(1593,plain,
! [SV346: set_a,SV153: set_a] :
( ( ( SV153 = SV346 )
= $false )
| ( ( ord_less_eq_set_a @ SV346 @ SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1385]) ).
thf(1594,plain,
! [SV347: set_a,SV154: set_a] :
( ( ( SV154 = SV347 )
= $false )
| ( ( ord_less_eq_set_a @ SV154 @ SV347 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1595,plain,
! [SV348: set_set_a,SV155: set_set_a] :
( ( ( ord_le318720350_set_a @ SV155 @ SV348 )
= $false )
| ( ( ! [SY1137: set_a] :
( ~ ( member_set_a @ SY1137 @ SV155 )
| ( member_set_a @ SY1137 @ SV348 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1387]) ).
thf(1596,plain,
! [SV349: set_a,SV156: set_a] :
( ( ( ord_less_eq_set_a @ SV156 @ SV349 )
= $false )
| ( ( ! [SY1138: a] :
( ~ ( member_a @ SY1138 @ SV156 )
| ( member_a @ SY1138 @ SV349 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1388]) ).
thf(1597,plain,
! [SV350: set_set_a,SV157: set_set_a] :
( ( ( ord_le318720350_set_a @ SV157 @ SV350 )
= $false )
| ( ( ! [SY1139: set_a] :
( ~ ( member_set_a @ SY1139 @ SV157 )
| ( member_set_a @ SY1139 @ SV350 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1598,plain,
! [SV351: set_a,SV158: set_a] :
( ( ( ord_less_eq_set_a @ SV158 @ SV351 )
= $false )
| ( ( ! [SY1140: a] :
( ~ ( member_a @ SY1140 @ SV158 )
| ( member_a @ SY1140 @ SV351 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1599,plain,
! [SV159: set_a] :
( ( ( SV159 = bot_bot_set_a )
= $true )
| ( ( ~ ( member_a @ ( sup @ ( sK4_X2 @ SV159 ) @ ( sK5_SY724 @ SV159 ) ) @ ( insert_a @ ( sK4_X2 @ SV159 ) @ ( insert_a @ ( sK5_SY724 @ SV159 ) @ bot_bot_set_a ) ) )
| ( member_a @ ( lattic1781219155_fin_a @ sup @ SV159 ) @ SV159 ) )
= $true )
| ( ( finite_finite_a @ SV159 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1391]) ).
thf(1600,plain,
! [SV160: set_a,SV468: a] :
( ( ( ( member_a @ SV468 @ SV160 )
| ( SV160 = bot_bot_set_a )
| ( ( lattic1781219155_fin_a @ sup @ ( insert_a @ SV468 @ SV160 ) )
= ( sup @ SV468 @ ( lattic1781219155_fin_a @ sup @ SV160 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV160 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1392]) ).
thf(1601,plain,
! [SV161: set_a] :
( ( ( SV161 = bot_bot_set_a )
= $true )
| ( ( ~ ( member_a @ ( inf @ ( sK2_X2 @ SV161 ) @ ( sK3_SY723 @ SV161 ) ) @ ( insert_a @ ( sK2_X2 @ SV161 ) @ ( insert_a @ ( sK3_SY723 @ SV161 ) @ bot_bot_set_a ) ) )
| ( member_a @ ( lattic247676691_fin_a @ inf @ SV161 ) @ SV161 ) )
= $true )
| ( ( finite_finite_a @ SV161 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1393]) ).
thf(1602,plain,
! [SV162: set_a,SV469: a] :
( ( ( ( member_a @ SV469 @ SV162 )
| ( SV162 = bot_bot_set_a )
| ( ( lattic247676691_fin_a @ inf @ ( insert_a @ SV469 @ SV162 ) )
= ( inf @ SV469 @ ( lattic247676691_fin_a @ inf @ SV162 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV162 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1394]) ).
thf(1603,plain,
! [SV352: set_a,SV165: a] :
( ( ( ~ ( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
| ( condit1627435690bove_a @ less_eq @ SV352 ) ) )
= $true )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
| ~ ( condit1627435690bove_a @ less_eq @ SV352 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1395]) ).
thf(1604,plain,
! [SV353: set_a,SV166: a] :
( ( ( ~ ( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
| ( condit1001553558elow_a @ less_eq @ SV353 ) ) )
= $true )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
| ~ ( condit1001553558elow_a @ less_eq @ SV353 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1397]) ).
thf(1605,plain,
! [SV169: set_a] :
( ( ( SV169 = bot_bot_set_a )
= $true )
| ( ( ! [SY949: a] :
( ( lattic247676691_fin_a @ inf @ ( insert_a @ SY949 @ SV169 ) )
= ( inf @ SY949 @ ( lattic247676691_fin_a @ inf @ SV169 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV169 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1399]) ).
thf(1606,plain,
! [SV170: set_a] :
( ( ( SV170 = bot_bot_set_a )
= $true )
| ( ( ! [SY950: a] :
( ( lattic1781219155_fin_a @ sup @ ( insert_a @ SY950 @ SV170 ) )
= ( sup @ SY950 @ ( lattic1781219155_fin_a @ sup @ SV170 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV170 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1400]) ).
thf(1607,plain,
! [SV354: a,SV171: set_a] :
( ( ( ord_less_eq_set_a @ SV171 @ ( insert_a @ SV354 @ bot_bot_set_a ) )
= $false )
| ( ( ( SV171 = bot_bot_set_a )
| ( SV171
= ( insert_a @ SV354 @ bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1608,plain,
! [SV355: a,SV172: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
| ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
| ~ ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1402]) ).
thf(1609,plain,
! [SV356: set_a,SV173: set_a] :
( ( ( member_set_a @ SV173 @ ( insert_set_a @ SV356 @ bot_bot_set_set_a ) )
= $false )
| ( ( SV173 = SV356 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1610,plain,
! [SV357: a,SV174: a] :
( ( ( member_a @ SV174 @ ( insert_a @ SV357 @ bot_bot_set_a ) )
= $false )
| ( ( SV174 = SV357 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1611,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( ~ ( ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
| ( SV175 = SV358 ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
| ( SV175 != SV358 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1612,plain,
! [SV359: a,SV176: a] :
( ( ( ~ ( ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
| ( SV176 = SV359 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
| ( SV176 != SV359 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1408]) ).
thf(1613,plain,
! [SV361: a,SV178: a] :
( ( ( ( insert_a @ SV178 @ bot_bot_set_a )
= ( insert_a @ SV361 @ bot_bot_set_a ) )
= $false )
| ( ( SV178 = SV361 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1614,plain,
! [SV362: set_a,SV179: set_a] :
( ( ( ord_less_eq_set_a @ SV179 @ SV362 )
= $false )
| ( ( ! [SY1141: a] : ( ord_less_eq_set_a @ SV179 @ ( insert_a @ SY1141 @ SV362 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1615,plain,
! [SV470: set_set_a,SV181: set_a,SV364: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
= ( ord_le318720350_set_a @ SV364 @ SV470 ) )
= $true )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(1616,plain,
! [SV471: set_a,SV182: a,SV365: set_a] :
( ( ( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
= ( ord_less_eq_set_a @ SV365 @ SV471 ) )
= $true )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1414]) ).
thf(1617,plain,
! [SV366: set_a,SV183: set_a] :
( ( ( ord_less_eq_set_a @ SV183 @ SV366 )
= $false )
| ( ( ! [SY1144: a] : ( ord_less_eq_set_a @ ( insert_a @ SY1144 @ SV183 ) @ ( insert_a @ SY1144 @ SV366 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1618,plain,
! [SV367: a,SV184: a] :
( ( ( SV184 = SV367 )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV184 @ SV367 )
= ( insert_a @ SV184 @ bot_bot_set_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1619,plain,
! [SV368: set_set_a,SV185: set_a] :
( ( ( ~ ( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
| ( finite_finite_set_a @ SV368 ) ) )
= $true )
| ( ( ~ ( ~ ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
| ~ ( finite_finite_set_a @ SV368 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1417]) ).
thf(1620,plain,
! [SV369: set_a,SV186: a] :
( ( ( ~ ( ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
| ( finite_finite_a @ SV369 ) ) )
= $true )
| ( ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
| ~ ( finite_finite_a @ SV369 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1419]) ).
thf(1621,plain,
! [SV370: a,SV187: a] :
( ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
| ~ ( less_eq @ SV187 @ SV370 ) ) )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
!= bot_bot_set_a )
| ~ ~ ( less_eq @ SV187 @ SV370 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1421]) ).
thf(1622,plain,
! [SV371: a,SV188: a] :
( ( ( ~ ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
| ~ ( less_eq @ SV188 @ SV371 ) ) )
= $true )
| ( ( ~ ( ( bot_bot_set_a
!= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
| ~ ~ ( less_eq @ SV188 @ SV371 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1423]) ).
thf(1623,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ~ ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) )
| ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1425]) ).
thf(1624,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
= ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1425]) ).
thf(1625,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ~ ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) )
| ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1426]) ).
thf(1626,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
= ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1426]) ).
thf(1627,plain,
! [SV472: a,SV194: a > a > a] :
( ( ( ! [SY1202: a] :
( ( SV194 @ SV472 @ ( SV194 @ SV472 @ SY1202 ) )
= ( SV194 @ SV472 @ SY1202 ) ) )
= $true )
| ( ( finite40241356em_a_a @ SV194 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(1628,plain,
! [SV195: set_a] :
( ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( ! [SY981: a] :
( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SY981 )
= ( ! [SY982: a] :
( ~ ( member_a @ SY982 @ SV195 )
| ( less_eq @ SY982 @ SY981 ) ) ) ) )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1428]) ).
thf(1629,plain,
! [SV376: a,SV196: a > $o] :
( ( ( SV196 @ SV376 )
= $false )
| ( ( ~ ( ~ ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
| ~ ~ ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 ) )
| ! [SY1147: a > $o] :
( ~ ( ~ ( SV196 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1148: a] :
( ~ ( SV196 @ SY1148 )
| ( less_eq @ SY1148 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) )
| ~ ~ ( SY1147 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) ) )
| ( SY1147 @ ( greatest_a @ less_eq @ SV196 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1429]) ).
thf(1630,plain,
! [SV197: set_a] :
( ( ( SV197 = bot_bot_set_a )
= $true )
| ( ( ! [SY986: a] :
( ~ ( ~ ( member_a @ ( sK11_A4 @ SY986 @ SV197 ) @ SV197 )
| ~ ~ ( less_eq @ ( sK11_A4 @ SY986 @ SV197 ) @ SY986 ) )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV197 ) @ SY986 ) ) )
= $true )
| ( ( finite_finite_a @ SV197 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1430]) ).
thf(1631,plain,
! [SV198: set_a] :
( ( ( ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $false )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1632,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1432]) ).
thf(1633,plain,
! [SV200: a] :
( ( ! [SY992: a,SY993: a] :
( ~ ( less_eq @ ( sup @ SV200 @ SY992 ) @ SY993 )
| ( less_eq @ SV200 @ SY993 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1634,plain,
! [SV200: a] :
( ( ! [SY994: a,SY995: a] :
( ~ ( less_eq @ ( sup @ SV200 @ SY994 ) @ SY995 )
| ( less_eq @ SY994 @ SY995 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1635,plain,
! [SV422: a,SV378: set_a,SV201: a] :
( ( ~ ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) )
| ~ ( ( ( insert_a @ SV201 @ SV378 )
!= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1435]) ).
thf(1636,plain,
! [SV422: a,SV378: set_a,SV201: a] :
( ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= ( ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1435]) ).
thf(1637,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= ( ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1436]) ).
thf(1638,plain,
! [SV424: set_set_a,SV380: set_set_a,SV203: set_a] :
( ( ~ ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) )
| ~ ( ~ ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1438]) ).
thf(1639,plain,
! [SV424: set_set_a,SV380: set_set_a,SV203: set_a] :
( ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= ( ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1438]) ).
thf(1640,plain,
! [SV425: a,SV381: a,SV204: a] :
( ( ~ ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) )
| ~ ( ~ ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1439]) ).
thf(1641,plain,
! [SV425: a,SV381: a,SV204: a] :
( ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= ( ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1439]) ).
thf(1642,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= ( ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1440]) ).
thf(1643,plain,
! [SV206: a > set_a] :
( ( ( ( antimono_a_set_a @ less_eq @ SV206 )
| ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) )
= $false )
| ( ( ~ ( ~ ( antimono_a_set_a @ less_eq @ SV206 )
| ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1644,plain,
! [SV383: a,SV207: a > $o] :
( ( ( SV207 @ SV383 )
= $false )
| ( ( ~ ( ~ ( SV207 @ ( sK26_Y2 @ SV383 @ SV207 ) )
| ~ ~ ( less_eq @ SV383 @ ( sK26_Y2 @ SV383 @ SV207 ) ) )
| ( ( least_a @ less_eq @ SV207 )
= SV383 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1645,plain,
! [SV384: a,SV208: a > $o] :
( ( ( SV208 @ SV384 )
= $false )
| ( ( ~ ( ~ ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
| ~ ~ ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) ) )
| ! [SY1158: a > $o] :
( ~ ( ~ ( SV208 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1159: a] :
( ~ ( SV208 @ SY1159 )
| ( less_eq @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) @ SY1159 ) )
| ~ ~ ( SY1158 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) ) ) )
| ( SY1158 @ ( least_a @ less_eq @ SV208 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1646,plain,
! [SV476: a,SV385: a] :
( ( ( SV385 = SV476 )
= ( ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1445]) ).
thf(1647,plain,
! [SV428: a,SV386: a,SV210: a] :
( ( ~ ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) )
| ~ ( ~ ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1447]) ).
thf(1648,plain,
! [SV428: a,SV386: a,SV210: a] :
( ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= ( ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1447]) ).
thf(1649,plain,
! [SV387: a,SV211: a > $o] :
( ( ( SV211 @ SV387 )
= $false )
| ( ( ~ ( ~ ( SV211 @ ( sK33_Y2 @ SV387 @ SV211 ) )
| ~ ~ ( less_eq @ ( sK33_Y2 @ SV387 @ SV211 ) @ SV387 ) )
| ( ( greatest_a @ less_eq @ SV211 )
= SV387 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1650,plain,
! [SV477: a] :
( ( ! [SY1205: a] :
( ~ ( less_eq @ SV477 @ SY1205 )
| ( ( max_a @ less_eq @ SV477 @ SY1205 )
= SY1205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(1651,plain,
! [SV478: a] :
( ( ! [SY1206: a] :
( ( less_eq @ SV478 @ SY1206 )
| ( ( max_a @ less_eq @ SV478 @ SY1206 )
= SV478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1450]) ).
thf(1652,plain,
! [SV429: a,SV388: a,SV212: a] :
( ( ~ ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) )
| ~ ( ~ ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1451]) ).
thf(1653,plain,
! [SV429: a,SV388: a,SV212: a] :
( ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= ( ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1451]) ).
thf(1654,plain,
! [SV213: a > a > a] :
( ( ( ~ ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK44_SY743 @ SV213 ) )
| ~ ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) )
| ~ ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) ) ) )
| ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1452]) ).
thf(1655,plain,
! [SV214: set_a,SV430: a] :
( ( ( ~ ( member_a @ ( sK25_X2 @ SV430 @ SV214 ) @ SV214 )
| ~ ~ ( less_eq @ SV430 @ ( sK25_X2 @ SV430 @ SV214 ) ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV214 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1656,plain,
! [SV479: a,SV389: a] :
( ( ( SV389 = SV479 )
= ( ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(1657,plain,
! [SV216: a] :
( ( ! [SY1024: a] :
( ! [SY1025: a] :
~ ( less_eq @ SV216 @ ( inf @ SY1024 @ SY1025 ) )
| ( less_eq @ SV216 @ SY1024 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1456]) ).
thf(1658,plain,
! [SV216: a] :
( ( ! [SY1026: a,SY1027: a] :
( ~ ( less_eq @ SV216 @ ( inf @ SY1026 @ SY1027 ) )
| ( less_eq @ SV216 @ SY1027 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1659,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ! [SY1187: a] :
( ~ ( SV217 @ SY1187 )
| ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SY1187 ) )
| ~ ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) ) )
| ~ ( ( ( sK30_Y2 @ SV432 @ SV217 )
!= SV432 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1458]) ).
thf(1660,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ! [SY1188: a] :
( ~ ( SV218 @ SY1188 )
| ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SY1188 ) )
| ~ ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) ) )
| ~ ( ( ( sK32_Y2 @ SV433 @ SV218 )
!= SV433 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1459]) ).
thf(1661,plain,
! [SV219: set_a] :
( ( ( SV219 = bot_bot_set_a )
= $true )
| ( ( ~ ( ~ ! [SY1033: a] :
( ~ ( member_a @ SY1033 @ SV219 )
| ~ ( less_eq @ SY1033 @ ( sK14_X2 @ SV219 ) )
| ( ( sK14_X2 @ SV219 )
= SY1033 ) )
| ~ ( member_a @ ( sK14_X2 @ SV219 ) @ SV219 ) ) )
= $true )
| ( ( finite_finite_a @ SV219 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1460]) ).
thf(1662,plain,
! [SV220: a] :
( ( ! [SY1034: a,SY1035: a] :
( ~ ( less_eq @ ( sup @ SV220 @ SY1034 ) @ SY1035 )
| ( less_eq @ SV220 @ SY1035 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1663,plain,
! [SV220: a] :
( ( ! [SY1036: a,SY1037: a] :
( ~ ( less_eq @ ( sup @ SV220 @ SY1036 ) @ SY1037 )
| ( less_eq @ SY1036 @ SY1037 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1462]) ).
thf(1664,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ~ ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1463]) ).
thf(1665,plain,
! [SV222: set_a,SV480: a] :
( ( ( ~ ( member_a @ SV480 @ SV222 )
| ~ ( ~ ! [SY1207: a] :
( ~ ( member_a @ SY1207 @ SV222 )
| ~ ( less_eq @ SY1207 @ ( sK19_X2 @ SV480 @ SV222 ) )
| ( ( sK19_X2 @ SV480 @ SV222 )
= SY1207 ) )
| ~ ~ ( ~ ( less_eq @ ( sK19_X2 @ SV480 @ SV222 ) @ SV480 )
| ~ ( member_a @ ( sK19_X2 @ SV480 @ SV222 ) @ SV222 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1465]) ).
thf(1666,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ~ ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) )
| ~ ( ~ ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1466]) ).
thf(1667,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= ( ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1466]) ).
thf(1668,plain,
! [SV481: a,SV392: a] :
( ( ( SV392 = SV481 )
= ( ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1467]) ).
thf(1669,plain,
! [SV225: a > set_a] :
( ( ( ( mono_a_set_a @ less_eq @ SV225 )
| ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) )
= $false )
| ( ( ~ ( ~ ( mono_a_set_a @ less_eq @ SV225 )
| ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1670,plain,
! [SV226: set_set_a,SV393: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK10_X2 @ SV393 @ SV226 ) @ SV226 )
| ~ ~ ( member_set_a @ ( sK10_X2 @ SV393 @ SV226 ) @ SV393 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV226 @ SV393 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1671,plain,
! [SV227: set_a,SV482: a] :
( ( ( ~ ( member_a @ SV482 @ SV227 )
| ~ ( ~ ! [SY1208: a] :
( ~ ( member_a @ SY1208 @ SV227 )
| ~ ( less_eq @ ( sK20_X2 @ SV482 @ SV227 ) @ SY1208 )
| ( ( sK20_X2 @ SV482 @ SV227 )
= SY1208 ) )
| ~ ~ ( ~ ( less_eq @ SV482 @ ( sK20_X2 @ SV482 @ SV227 ) )
| ~ ( member_a @ ( sK20_X2 @ SV482 @ SV227 ) @ SV227 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1471]) ).
thf(1672,plain,
! [SV228: set_set_a] :
( ( ( ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ( SV228 != bot_bot_set_set_a ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ~ ( ( SV228 != bot_bot_set_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1472]) ).
thf(1673,plain,
! [SV229: a > set_a] :
( ( ( ~ ( less_eq @ ( sK15_X2 @ SV229 ) @ ( sK16_SY727 @ SV229 ) ) )
= $false )
| ( ( mono_a_set_a @ less_eq @ SV229 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1674,plain,
! [SV229: a > set_a] :
( ( ( ~ ~ ( ord_less_eq_set_a @ ( SV229 @ ( sK15_X2 @ SV229 ) ) @ ( SV229 @ ( sK16_SY727 @ SV229 ) ) ) )
= $false )
| ( ( mono_a_set_a @ less_eq @ SV229 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1675,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( SV394 = SV483 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1474]) ).
thf(1676,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= ( ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1476]) ).
thf(1677,plain,
! [SV232: a > a > a] :
( ( ( ~ ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sK37_SY738 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( ~ ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) ) ) )
| ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1478]) ).
thf(1678,plain,
! [SV233: set_a,SV438: a] :
( ( ( ~ ( member_a @ ( sK24_X2 @ SV438 @ SV233 ) @ SV233 )
| ~ ~ ( less_eq @ ( sK24_X2 @ SV438 @ SV233 ) @ SV438 ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV233 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1479]) ).
thf(1679,plain,
! [SV234: a] :
( ( ! [SY1059: a] :
( ! [SY1060: a] :
~ ( less_eq @ SV234 @ ( inf @ SY1059 @ SY1060 ) )
| ( less_eq @ SV234 @ SY1059 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1480]) ).
thf(1680,plain,
! [SV234: a] :
( ( ! [SY1061: a,SY1062: a] :
( ~ ( less_eq @ SV234 @ ( inf @ SY1061 @ SY1062 ) )
| ( less_eq @ SV234 @ SY1062 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1481]) ).
thf(1681,plain,
! [SV235: a > set_a] :
( ( ( ~ ( less_eq @ ( sK17_X2 @ SV235 ) @ ( sK18_SY728 @ SV235 ) ) )
= $false )
| ( ( antimono_a_set_a @ less_eq @ SV235 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1482]) ).
thf(1682,plain,
! [SV235: a > set_a] :
( ( ( ~ ~ ( ord_less_eq_set_a @ ( SV235 @ ( sK18_SY728 @ SV235 ) ) @ ( SV235 @ ( sK17_X2 @ SV235 ) ) ) )
= $false )
| ( ( antimono_a_set_a @ less_eq @ SV235 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1482]) ).
thf(1683,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1483]) ).
thf(1684,plain,
! [SV440: set_a,SV397: set_a,SV237: a] :
( ( ~ ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1484]) ).
thf(1685,plain,
! [SV440: set_a,SV397: set_a,SV237: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= ( ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1484]) ).
thf(1686,plain,
! [SV441: set_a,SV398: a,SV238: a] :
( ( ~ ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
| ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) )
| ~ ( ( ( insert_a @ SV238 @ bot_bot_set_a )
!= ( insert_a @ SV398 @ SV441 ) )
| ~ ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1485]) ).
thf(1687,plain,
! [SV441: set_a,SV398: a,SV238: a] :
( ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= ( ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1485]) ).
thf(1688,plain,
! [SV486: set_a] :
( ( ! [SY1210: set_a] :
( ( SV486 != SY1210 )
| ( ord_less_eq_set_a @ SV486 @ SY1210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(1689,plain,
! [SV487: set_a] :
( ( ! [SY1211: set_a] :
( ( SV487 != SY1211 )
| ( ord_less_eq_set_a @ SY1211 @ SV487 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1487]) ).
thf(1690,plain,
! [SV239: set_a] :
( ( ( SV239 = bot_bot_set_a )
= $true )
| ( ( ! [SY1070: a] :
( ~ ( ~ ( member_a @ ( sK12_A4 @ SY1070 @ SV239 ) @ SV239 )
| ~ ~ ( less_eq @ SY1070 @ ( sK12_A4 @ SY1070 @ SV239 ) ) )
| ( less_eq @ SY1070 @ ( lattic247676691_fin_a @ inf @ SV239 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV239 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1488]) ).
thf(1691,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) )
| ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
!= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1489]) ).
thf(1692,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= ( ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1489]) ).
thf(1693,plain,
! [SV241: set_set_a,SV488: set_a] :
( ( ( ~ ( member_set_a @ SV488 @ SV241 )
| ~ ( ~ ! [SY1212: set_a] :
( ~ ( member_set_a @ SY1212 @ SV241 )
| ~ ( ord_less_eq_set_a @ SY1212 @ ( sK1_X2 @ SV488 @ SV241 ) )
| ( ( sK1_X2 @ SV488 @ SV241 )
= SY1212 ) )
| ~ ~ ( ~ ( member_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV241 )
| ~ ( ord_less_eq_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV488 ) ) ) )
= $true )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1490]) ).
thf(1694,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ~ ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) )
| ~ ( ~ ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1491]) ).
thf(1695,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= ( ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1491]) ).
thf(1696,plain,
! [SV243: set_a,SV401: set_a] :
( ( ( ~ ( member_a @ ( sK9_X2 @ SV401 @ SV243 ) @ SV243 )
| ~ ~ ( member_a @ ( sK9_X2 @ SV401 @ SV243 ) @ SV401 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV243 @ SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1697,plain,
! [SV489: a] :
( ( ! [SY1213: a] :
( ~ ( less_eq @ SV489 @ SY1213 )
| ( ( min_a @ less_eq @ SV489 @ SY1213 )
= SV489 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(1698,plain,
! [SV490: a] :
( ( ! [SY1214: a] :
( ( less_eq @ SV490 @ SY1214 )
| ( ( min_a @ less_eq @ SV490 @ SY1214 )
= SY1214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1494]) ).
thf(1699,plain,
! [SV244: set_a] :
( ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( ! [SY1078: a] :
( ( less_eq @ SY1078 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= ( ! [SY1079: a] :
( ~ ( member_a @ SY1079 @ SV244 )
| ( less_eq @ SY1078 @ SY1079 ) ) ) ) )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1495]) ).
thf(1700,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1496]) ).
thf(1701,plain,
! [SV246: set_a] :
( ( ( ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ( SV246 != bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ~ ( ( SV246 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1497]) ).
thf(1702,plain,
! [SV247: set_a] :
( ( ( ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $false )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1703,plain,
! [SV403: a > $o,SV248: a > $o] :
( ( ( ~ ( SV248 @ ( sK6_X2 @ SV403 @ SV248 ) )
| ~ ~ ( SV403 @ ( sK6_X2 @ SV403 @ SV248 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV248 ) @ ( collect_a @ SV403 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1499]) ).
thf(1704,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= ( ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1500]) ).
thf(1705,plain,
! [SV250: set_a] :
( ( ( SV250 = bot_bot_set_a )
= $true )
| ( ( ~ ( ~ ! [SY1089: a] :
( ~ ( member_a @ SY1089 @ SV250 )
| ~ ( less_eq @ ( sK13_X2 @ SV250 ) @ SY1089 )
| ( ( sK13_X2 @ SV250 )
= SY1089 ) )
| ~ ( member_a @ ( sK13_X2 @ SV250 ) @ SV250 ) ) )
= $true )
| ( ( finite_finite_a @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1502]) ).
thf(1706,plain,
! [SV493: a,SV446: a,SV13: a] :
( ( ( ( sup @ SV13 @ ( inf @ SV446 @ SV493 ) )
= ( inf @ ( sup @ SV13 @ SV446 ) @ ( sup @ SV13 @ SV493 ) ) )
= $true )
| ( ( ( inf @ ( sK54_X2 @ SV13 ) @ ( sup @ ( sK55_SY751 @ SV13 ) @ ( sK56_SY753 @ SV13 ) ) )
= ( sup @ ( inf @ ( sK54_X2 @ SV13 ) @ ( sK55_SY751 @ SV13 ) ) @ ( inf @ ( sK54_X2 @ SV13 ) @ ( sK56_SY753 @ SV13 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1503]) ).
thf(1707,plain,
! [SV494: a,SV447: a,SV14: a] :
( ( ( ( inf @ SV14 @ ( sup @ SV447 @ SV494 ) )
= ( sup @ ( inf @ SV14 @ SV447 ) @ ( inf @ SV14 @ SV494 ) ) )
= $true )
| ( ( ( sup @ ( sK51_X2 @ SV14 ) @ ( inf @ ( sK52_SY748 @ SV14 ) @ ( sK53_SY750 @ SV14 ) ) )
= ( inf @ ( sup @ ( sK51_X2 @ SV14 ) @ ( sK52_SY748 @ SV14 ) ) @ ( sup @ ( sK51_X2 @ SV14 ) @ ( sK53_SY750 @ SV14 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1504]) ).
thf(1708,plain,
! [SV34: a,SV278: a] :
( ( ( ~ ( less_eq @ SV278 @ SV34 ) )
= $true )
| ( ( SV34 = SV278 )
= $true )
| ( ( less_eq @ SV34 @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1709,plain,
! [SV279: set_a > $o,SV35: set_a] :
( ( ( ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
| ( SV279 @ SV35 ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
| ~ ( SV279 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1710,plain,
! [SV280: a > $o,SV36: a] :
( ( ( ( member_a @ SV36 @ ( collect_a @ SV280 ) )
| ( SV280 @ SV36 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV36 @ ( collect_a @ SV280 ) )
| ~ ( SV280 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1711,plain,
! [SV281: a > $o,SV39: a > $o] :
( ( ( ~ ( ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) )
| ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) ) )
| ~ ( ~ ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) )
| ~ ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) ) ) )
= $false )
| ( ( ( collect_a @ SV39 )
= ( collect_a @ SV281 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1508]) ).
thf(1712,plain,
! [SV281: a > $o,SV39: a > $o] :
( ( ( ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) )
= ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) ) )
= $false )
| ( ( ( collect_a @ SV39 )
= ( collect_a @ SV281 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1508]) ).
thf(1713,plain,
! [SV40: a,SV282: a] :
( ( ( ~ ( ( less_eq @ SV282 @ SV40 )
| ( SV282 = SV40 ) )
| ~ ( ~ ( less_eq @ SV282 @ SV40 )
| ( SV282 != SV40 ) ) )
= $true )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1509]) ).
thf(1714,plain,
! [SV40: a,SV282: a] :
( ( ( ( less_eq @ SV282 @ SV40 )
= ( SV282 = SV40 ) )
= $true )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1509]) ).
thf(1715,plain,
! [SV41: a,SV283: a] :
( ( ( ~ ( less_eq @ SV283 @ SV41 ) )
= $true )
| ( ( SV283 = SV41 )
= $true )
| ( ( less_eq @ SV41 @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1510]) ).
thf(1716,plain,
! [SV284: a,SV42: a,SV495: a] :
( ( ( ~ ( less_eq @ SV495 @ SV42 )
| ( less_eq @ SV495 @ SV284 ) )
= $true )
| ( ( less_eq @ SV42 @ SV284 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1511]) ).
thf(1717,plain,
! [SV44: a,SV496: a,SV286: a] :
( ( ( ~ ( less_eq @ SV286 @ SV496 )
| ( less_eq @ SV44 @ SV496 ) )
= $true )
| ( ( SV44 = SV286 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1513]) ).
thf(1718,plain,
! [SV45: a,SV497: a,SV287: a] :
( ( ( ( SV287 != SV497 )
| ( less_eq @ SV45 @ SV497 ) )
= $true )
| ( ( less_eq @ SV45 @ SV287 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1719,plain,
! [SV46: a,SV288: a] :
( ( ( ~ ( less_eq @ SV288 @ SV46 ) )
= $true )
| ( ( SV46 = SV288 )
= $true )
| ( ( less_eq @ SV46 @ SV288 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1515]) ).
thf(1720,plain,
! [SV47: a,SV498: a,SV289: a] :
( ( ( ~ ( less_eq @ SV289 @ SV498 )
| ( less_eq @ SV47 @ SV498 ) )
= $true )
| ( ( less_eq @ SV47 @ SV289 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1516]) ).
thf(1721,plain,
! [SV48: a,SV499: a,SV290: a] :
( ( ( ~ ( less_eq @ SV290 @ SV499 )
| ( less_eq @ SV48 @ SV499 ) )
= $true )
| ( ( less_eq @ SV48 @ SV290 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1517]) ).
thf(1722,plain,
! [SV291: a,SV49: a,SV500: a] :
( ( ( less_eq @ ( inf @ SV500 @ SV49 ) @ SV291 )
= $true )
| ( ( less_eq @ SV49 @ SV291 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1518]) ).
thf(1723,plain,
! [SV292: a,SV501: a,SV50: a] :
( ( ( less_eq @ ( inf @ SV50 @ SV501 ) @ SV292 )
= $true )
| ( ( less_eq @ SV50 @ SV292 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1519]) ).
thf(1724,plain,
! [SV293: a,SV502: a,SV51: a] :
( ( ( ~ ( less_eq @ SV51 @ SV502 )
| ( less_eq @ SV51 @ ( inf @ SV293 @ SV502 ) ) )
= $true )
| ( ( less_eq @ SV51 @ SV293 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1520]) ).
thf(1725,plain,
! [SV294: a,SV52: a] :
( ( ( ( less_eq @ SV52 @ SV294 )
| ( ( inf @ SV52 @ SV294 )
= SV52 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV52 @ SV294 )
| ( ( inf @ SV52 @ SV294 )
!= SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1521]) ).
thf(1726,plain,
! [SV295: a,SV53: a,SV503: a] :
( ( ( ! [SY1216: a] :
( ~ ( less_eq @ SV503 @ SY1216 )
| ( less_eq @ ( inf @ SV53 @ SV503 ) @ ( inf @ SV295 @ SY1216 ) ) ) )
= $true )
| ( ( less_eq @ SV53 @ SV295 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1522]) ).
thf(1727,plain,
! [SV298: a,SV504: a,SV56: a] :
( ( ( ~ ( less_eq @ SV56 @ SV504 )
| ( less_eq @ SV56 @ ( inf @ SV298 @ SV504 ) ) )
= $true )
| ( ( less_eq @ SV56 @ SV298 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1728,plain,
! [SV301: a,SV59: a] :
( ( ( ( less_eq @ SV59 @ SV301 )
| ( SV59
= ( inf @ SV59 @ SV301 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV59 @ SV301 )
| ( SV59
!= ( inf @ SV59 @ SV301 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1526]) ).
thf(1729,plain,
! [SV304: a,SV62: a,SV505: a] :
( ( ( less_eq @ ( inf @ SV505 @ SV62 ) @ SV304 )
= $true )
| ( ( less_eq @ SV62 @ SV304 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1529]) ).
thf(1730,plain,
! [SV305: a,SV506: a,SV63: a] :
( ( ( less_eq @ ( inf @ SV63 @ SV506 ) @ SV305 )
= $true )
| ( ( less_eq @ SV63 @ SV305 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1530]) ).
thf(1731,plain,
! [SV308: a,SV507: a,SV66: a] :
( ( ( ~ ( less_eq @ SV66 @ SV507 )
| ( less_eq @ SV66 @ ( inf @ SV308 @ SV507 ) ) )
= $true )
| ( ( less_eq @ SV66 @ SV308 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1531]) ).
thf(1732,plain,
! [SV309: a,SV67: a] :
( ( ( ( less_eq @ SV67 @ SV309 )
| ( ( inf @ SV309 @ SV67 )
= SV67 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV67 @ SV309 )
| ( ( inf @ SV309 @ SV67 )
!= SV67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1733,plain,
! [SV310: a,SV68: a] :
( ( ( ( less_eq @ SV68 @ SV310 )
| ( ( inf @ SV68 @ SV310 )
= SV68 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV68 @ SV310 )
| ( ( inf @ SV68 @ SV310 )
!= SV68 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1533]) ).
thf(1734,plain,
! [SV313: a,SV71: a,SV508: a] :
( ( ( ! [SY1217: a] :
( ~ ( less_eq @ SV508 @ SY1217 )
| ( less_eq @ ( sup @ SV71 @ SV508 ) @ ( sup @ SV313 @ SY1217 ) ) ) )
= $true )
| ( ( less_eq @ SV71 @ SV313 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1536]) ).
thf(1735,plain,
! [SV72: a,SV314: a,SV509: a] :
( ( ( ~ ( less_eq @ SV509 @ SV314 )
| ( less_eq @ ( sup @ SV72 @ SV509 ) @ SV314 ) )
= $true )
| ( ( less_eq @ SV72 @ SV314 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1537]) ).
thf(1736,plain,
! [SV319: a,SV77: a] :
( ( ( ( less_eq @ SV77 @ SV319 )
| ( SV319
= ( sup @ SV319 @ SV77 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV77 @ SV319 )
| ( SV319
!= ( sup @ SV319 @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1737,plain,
! [SV322: a,SV80: a,SV510: a] :
( ( ( ! [SY1218: a] :
( ~ ( less_eq @ SV510 @ SY1218 )
| ( less_eq @ ( sup @ SV80 @ SV510 ) @ ( sup @ SV322 @ SY1218 ) ) ) )
= $true )
| ( ( less_eq @ SV80 @ SV322 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1543]) ).
thf(1738,plain,
! [SV323: a,SV511: a,SV81: a] :
( ( ( less_eq @ SV81 @ ( sup @ SV511 @ SV323 ) )
= $true )
| ( ( less_eq @ SV81 @ SV323 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1544]) ).
thf(1739,plain,
! [SV512: a,SV324: a,SV82: a] :
( ( ( less_eq @ SV82 @ ( sup @ SV324 @ SV512 ) )
= $true )
| ( ( less_eq @ SV82 @ SV324 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1545]) ).
thf(1740,plain,
! [SV85: a,SV327: a,SV513: a] :
( ( ( ~ ( less_eq @ SV513 @ SV327 )
| ( less_eq @ ( sup @ SV85 @ SV513 ) @ SV327 ) )
= $true )
| ( ( less_eq @ SV85 @ SV327 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1546]) ).
thf(1741,plain,
! [SV328: a,SV86: a] :
( ( ( ( less_eq @ SV86 @ SV328 )
| ( ( sup @ SV86 @ SV328 )
= SV328 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV86 @ SV328 )
| ( ( sup @ SV86 @ SV328 )
!= SV328 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1547]) ).
thf(1742,plain,
! [SV329: a,SV87: a] :
( ( ( ( less_eq @ SV87 @ SV329 )
| ( ( sup @ SV329 @ SV87 )
= SV329 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV87 @ SV329 )
| ( ( sup @ SV329 @ SV87 )
!= SV329 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1743,plain,
! [SV332: a,SV514: a,SV90: a] :
( ( ( less_eq @ SV90 @ ( sup @ SV514 @ SV332 ) )
= $true )
| ( ( less_eq @ SV90 @ SV332 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1551]) ).
thf(1744,plain,
! [SV515: a,SV333: a,SV91: a] :
( ( ( less_eq @ SV91 @ ( sup @ SV333 @ SV515 ) )
= $true )
| ( ( less_eq @ SV91 @ SV333 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1552]) ).
thf(1745,plain,
! [SV92: a,SV334: a,SV516: a] :
( ( ( ~ ( less_eq @ SV516 @ SV334 )
| ( less_eq @ ( sup @ SV92 @ SV516 ) @ SV334 ) )
= $true )
| ( ( less_eq @ SV92 @ SV334 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1553]) ).
thf(1746,plain,
! [SV335: a,SV93: a] :
( ( ( ( less_eq @ SV93 @ SV335 )
| ( ( sup @ SV93 @ SV335 )
= SV335 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV93 @ SV335 )
| ( ( sup @ SV93 @ SV335 )
!= SV335 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1554]) ).
thf(1747,plain,
! [SV336: a > a > a] :
( ( ( ( lattic1885654924_set_a @ SV336 )
| ( semilattice_a @ SV336 ) )
= $false )
| ( ( ~ ( ~ ( lattic1885654924_set_a @ SV336 )
| ~ ( semilattice_a @ SV336 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1555]) ).
thf(1748,plain,
! [SV517: a,SV337: a,SV101: a > a > a] :
( ( ( ! [SY1219: a] :
( ( SV101 @ SV337 @ ( SV101 @ SV517 @ SY1219 ) )
= ( SV101 @ SV517 @ ( SV101 @ SV337 @ SY1219 ) ) ) )
= $true )
| ( ( abel_semigroup_a @ SV101 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1556]) ).
thf(1749,plain,
! [SV518: a,SV448: a,SV102: a > a > a] :
( ( ( ( SV102 @ ( SV102 @ SV448 @ SV518 ) @ SV518 )
= ( SV102 @ SV448 @ SV518 ) )
= $true )
| ( ( semilattice_a @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1557]) ).
thf(1750,plain,
! [SV519: a,SV449: a,SV103: a > a > a] :
( ( ( ( SV103 @ SV449 @ ( SV103 @ SV449 @ SV519 ) )
= ( SV103 @ SV449 @ SV519 ) )
= $true )
| ( ( semilattice_a @ SV103 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1558]) ).
thf(1751,plain,
! [SV520: a,SV450: a,SV104: a > a > a] :
( ( ( ( SV104 @ SV450 @ SV520 )
= ( SV104 @ SV520 @ SV450 ) )
= $true )
| ( ( abel_semigroup_a @ SV104 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1559]) ).
thf(1752,plain,
! [SV521: a,SV338: a,SV107: a > a > a] :
( ( ( ! [SY1220: a] :
( ( SV107 @ ( SV107 @ SV338 @ SV521 ) @ SY1220 )
= ( SV107 @ SV338 @ ( SV107 @ SV521 @ SY1220 ) ) ) )
= $true )
| ( ( semigroup_a @ SV107 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1561]) ).
thf(1753,plain,
! [SV339: a > a > a] :
( ( ( ( semigroup_a @ SV339 )
| ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) )
= $false )
| ( ( ~ ( ~ ( semigroup_a @ SV339 )
| ~ ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1754,plain,
! [SV109: set_a,SV452: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV452 @ SV109 ) )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV452 )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1563]) ).
thf(1755,plain,
! [SV110: set_a,SV453: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV453 @ SV110 ) )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV453 )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1564]) ).
thf(1756,plain,
! [SV113: a > set_a,SV522: a,SV454: a] :
( ( ( ~ ( less_eq @ SV454 @ SV522 )
| ( ord_less_eq_set_a @ ( SV113 @ SV522 ) @ ( SV113 @ SV454 ) ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1565]) ).
thf(1757,plain,
! [SV114: a > set_a,SV523: a,SV455: a] :
( ( ( ~ ( less_eq @ SV455 @ SV523 )
| ( ord_less_eq_set_a @ ( SV114 @ SV523 ) @ ( SV114 @ SV455 ) ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV114 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1566]) ).
thf(1758,plain,
! [SV115: a > set_a,SV524: a,SV456: a] :
( ( ( ~ ( less_eq @ SV456 @ SV524 )
| ( ord_less_eq_set_a @ ( SV115 @ SV456 ) @ ( SV115 @ SV524 ) ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV115 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1567]) ).
thf(1759,plain,
! [SV116: a > set_a,SV525: a,SV457: a] :
( ( ( ~ ( less_eq @ SV457 @ SV525 )
| ( ord_less_eq_set_a @ ( SV116 @ SV457 ) @ ( SV116 @ SV525 ) ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1568]) ).
thf(1760,plain,
! [SV117: set_a,SV458: a] :
( ( ( ~ ( member_a @ SV458 @ SV117 ) )
= $true )
| ( ( less_eq @ SV458 @ ( lattic1781219155_fin_a @ sup @ SV117 ) )
= $true )
| ( ( finite_finite_a @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1569]) ).
thf(1761,plain,
! [SV118: set_a,SV459: a] :
( ( ( ~ ( member_a @ SV459 @ SV118 ) )
= $true )
| ( ( less_eq @ ( lattic247676691_fin_a @ inf @ SV118 ) @ SV459 )
= $true )
| ( ( finite_finite_a @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1570]) ).
thf(1762,plain,
! [SV119: set_a,SV460: a] :
( ( ( ~ ( member_a @ SV460 @ SV119 ) )
= $true )
| ( ( ( sup @ SV460 @ ( lattic1781219155_fin_a @ sup @ SV119 ) )
= ( lattic1781219155_fin_a @ sup @ SV119 ) )
= $true )
| ( ( finite_finite_a @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1571]) ).
thf(1763,plain,
! [SV120: set_a,SV461: a] :
( ( ( ~ ( member_a @ SV461 @ SV120 ) )
= $true )
| ( ( ( inf @ SV461 @ ( lattic247676691_fin_a @ inf @ SV120 ) )
= ( lattic247676691_fin_a @ inf @ SV120 ) )
= $true )
| ( ( finite_finite_a @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1572]) ).
thf(1764,plain,
! [SV121: set_a,SV462: a] :
( ( ( ~ ( member_a @ SV462 @ SV121 ) )
= $true )
| ( ( ( inf @ SV462 @ ( lattic1781219155_fin_a @ sup @ SV121 ) )
= SV462 )
= $true )
| ( ( finite_finite_a @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1573]) ).
thf(1765,plain,
! [SV122: set_a,SV463: a] :
( ( ( ~ ( member_a @ SV463 @ SV122 ) )
= $true )
| ( ( ( sup @ ( lattic247676691_fin_a @ inf @ SV122 ) @ SV463 )
= SV463 )
= $true )
| ( ( finite_finite_a @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1574]) ).
thf(1766,plain,
! [SV340: set_a,SV124: set_a] :
( ( ( SV124 = bot_bot_set_a )
= $true )
| ( ( ~ ( finite_finite_a @ SV340 )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV124 ) @ ( lattic1781219155_fin_a @ sup @ SV340 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV124 @ SV340 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1576]) ).
thf(1767,plain,
! [SV341: set_a,SV125: set_a] :
( ( ( SV125 = bot_bot_set_a )
= $true )
| ( ( ~ ( finite_finite_a @ SV341 )
| ( less_eq @ ( lattic247676691_fin_a @ inf @ SV341 ) @ ( lattic247676691_fin_a @ inf @ SV125 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV125 @ SV341 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1577]) ).
thf(1768,plain,
! [SV126: set_a,SV464: set_a] :
( ( ( SV464 = bot_bot_set_a )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV464 @ SV126 )
| ( ( inf @ ( lattic247676691_fin_a @ inf @ SV464 ) @ ( lattic247676691_fin_a @ inf @ SV126 ) )
= ( lattic247676691_fin_a @ inf @ SV126 ) ) )
= $true )
| ( ( finite_finite_a @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1578]) ).
thf(1769,plain,
! [SV127: set_a,SV465: set_a] :
( ( ( SV465 = bot_bot_set_a )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV465 @ SV127 )
| ( ( sup @ ( lattic1781219155_fin_a @ sup @ SV465 ) @ ( lattic1781219155_fin_a @ sup @ SV127 ) )
= ( lattic1781219155_fin_a @ sup @ SV127 ) ) )
= $true )
| ( ( finite_finite_a @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1579]) ).
thf(1770,plain,
! [SV128: set_a,SV526: a] :
( ( ( ~ ( less_eq @ SV526 @ ( lattic247676691_fin_a @ inf @ SV128 ) )
| ! [SY1221: a] :
( ~ ( member_a @ SY1221 @ SV128 )
| ( less_eq @ SV526 @ SY1221 ) ) )
= $true )
| ( ( SV128 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV128 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1580]) ).
thf(1771,plain,
! [SV527: a,SV129: set_a] :
( ( ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV129 ) @ SV527 )
| ! [SY1222: a] :
( ~ ( member_a @ SY1222 @ SV129 )
| ( less_eq @ SY1222 @ SV527 ) ) )
= $true )
| ( ( SV129 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV129 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(1772,plain,
! [SV132: set_a] :
( ( ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
| ( SV132 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1582]) ).
thf(1773,plain,
! [SV132: set_a] :
( ( ( SV132 = bot_bot_set_a )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
| ( SV132 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1582]) ).
thf(1774,plain,
! [SV133: a > $o] :
( ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_a
!= ( collect_a @ SV133 ) )
| ~ ! [SY924: a] :
~ ( SV133 @ SY924 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1775,plain,
! [SV133: a > $o] :
( ( ( ! [SY924: a] :
~ ( SV133 @ SY924 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_a
!= ( collect_a @ SV133 ) )
| ~ ! [SY924: a] :
~ ( SV133 @ SY924 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1776,plain,
! [SV134: a > $o] :
( ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
= $false )
| ( ( ~ ( ( ( collect_a @ SV134 )
!= bot_bot_set_a )
| ~ ! [SY925: a] :
~ ( SV134 @ SY925 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1777,plain,
! [SV134: a > $o] :
( ( ( ! [SY925: a] :
~ ( SV134 @ SY925 ) )
= $false )
| ( ( ~ ( ( ( collect_a @ SV134 )
!= bot_bot_set_a )
| ~ ! [SY925: a] :
~ ( SV134 @ SY925 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1778,plain,
! [SV135: set_set_a] :
( ( ( ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 ) )
= $false )
| ( ( ~ ( ~ ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 )
| ( SV135 != bot_bot_set_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1585]) ).
thf(1779,plain,
! [SV135: set_set_a] :
( ( ( SV135 = bot_bot_set_set_a )
= $false )
| ( ( ~ ( ~ ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 )
| ( SV135 != bot_bot_set_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1585]) ).
thf(1780,plain,
! [SV136: set_a] :
( ( ( ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 ) )
= $false )
| ( ( ~ ( ~ ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 )
| ( SV136 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1586]) ).
thf(1781,plain,
! [SV136: set_a] :
( ( ( SV136 = bot_bot_set_a )
= $false )
| ( ( ~ ( ~ ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 )
| ( SV136 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1586]) ).
thf(1782,plain,
! [SV139: set_a,SV342: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV342 @ SV139 ) )
= $true )
| ( ( SV139 = SV342 )
= $true )
| ( ( ord_less_eq_set_a @ SV139 @ SV342 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1587]) ).
thf(1783,plain,
! [SV343: a,SV141: a] :
( ( ( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
| ( less_eq @ SV343 @ SV141 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
| ~ ( less_eq @ SV343 @ SV141 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1588]) ).
thf(1784,plain,
! [SV344: a,SV142: a] :
( ( ( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
| ( less_eq @ SV142 @ SV344 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
| ~ ( less_eq @ SV142 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1589]) ).
thf(1785,plain,
! [SV147: set_set_a,SV466: set_a] :
( ( ( member_set_a @ SV466 @ SV147 )
= $false )
| ( ( SV147 = bot_bot_set_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1590]) ).
thf(1786,plain,
! [SV148: set_a,SV467: a] :
( ( ( member_a @ SV467 @ SV148 )
= $false )
| ( ( SV148 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1787,plain,
! [SV151: set_a,SV528: set_a,SV345: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV345 @ SV528 )
| ( ord_less_eq_set_a @ SV151 @ SV528 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV151 @ SV345 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1592]) ).
thf(1788,plain,
! [SV348: set_set_a,SV155: set_set_a,SV529: set_a] :
( ( ( ~ ( member_set_a @ SV529 @ SV155 )
| ( member_set_a @ SV529 @ SV348 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV155 @ SV348 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1595]) ).
thf(1789,plain,
! [SV349: set_a,SV156: set_a,SV530: a] :
( ( ( ~ ( member_a @ SV530 @ SV156 )
| ( member_a @ SV530 @ SV349 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV156 @ SV349 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1596]) ).
thf(1790,plain,
! [SV350: set_set_a,SV157: set_set_a,SV531: set_a] :
( ( ( ~ ( member_set_a @ SV531 @ SV157 )
| ( member_set_a @ SV531 @ SV350 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV157 @ SV350 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1597]) ).
thf(1791,plain,
! [SV351: set_a,SV158: set_a,SV532: a] :
( ( ( ~ ( member_a @ SV532 @ SV158 )
| ( member_a @ SV532 @ SV351 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV158 @ SV351 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1598]) ).
thf(1792,plain,
! [SV159: set_a] :
( ( ( ~ ( member_a @ ( sup @ ( sK4_X2 @ SV159 ) @ ( sK5_SY724 @ SV159 ) ) @ ( insert_a @ ( sK4_X2 @ SV159 ) @ ( insert_a @ ( sK5_SY724 @ SV159 ) @ bot_bot_set_a ) ) ) )
= $true )
| ( ( member_a @ ( lattic1781219155_fin_a @ sup @ SV159 ) @ SV159 )
= $true )
| ( ( SV159 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV159 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1599]) ).
thf(1793,plain,
! [SV160: set_a,SV468: a] :
( ( ( member_a @ SV468 @ SV160 )
= $true )
| ( ( ( SV160 = bot_bot_set_a )
| ( ( lattic1781219155_fin_a @ sup @ ( insert_a @ SV468 @ SV160 ) )
= ( sup @ SV468 @ ( lattic1781219155_fin_a @ sup @ SV160 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV160 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1600]) ).
thf(1794,plain,
! [SV161: set_a] :
( ( ( ~ ( member_a @ ( inf @ ( sK2_X2 @ SV161 ) @ ( sK3_SY723 @ SV161 ) ) @ ( insert_a @ ( sK2_X2 @ SV161 ) @ ( insert_a @ ( sK3_SY723 @ SV161 ) @ bot_bot_set_a ) ) ) )
= $true )
| ( ( member_a @ ( lattic247676691_fin_a @ inf @ SV161 ) @ SV161 )
= $true )
| ( ( SV161 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV161 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1601]) ).
thf(1795,plain,
! [SV162: set_a,SV469: a] :
( ( ( member_a @ SV469 @ SV162 )
= $true )
| ( ( ( SV162 = bot_bot_set_a )
| ( ( lattic247676691_fin_a @ inf @ ( insert_a @ SV469 @ SV162 ) )
= ( inf @ SV469 @ ( lattic247676691_fin_a @ inf @ SV162 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1602]) ).
thf(1796,plain,
! [SV352: set_a,SV165: a] :
( ( ( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
| ( condit1627435690bove_a @ less_eq @ SV352 ) )
= $false )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
| ~ ( condit1627435690bove_a @ less_eq @ SV352 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1603]) ).
thf(1797,plain,
! [SV353: set_a,SV166: a] :
( ( ( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
| ( condit1001553558elow_a @ less_eq @ SV353 ) )
= $false )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
| ~ ( condit1001553558elow_a @ less_eq @ SV353 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1604]) ).
thf(1798,plain,
! [SV169: set_a,SV533: a] :
( ( ( ( lattic247676691_fin_a @ inf @ ( insert_a @ SV533 @ SV169 ) )
= ( inf @ SV533 @ ( lattic247676691_fin_a @ inf @ SV169 ) ) )
= $true )
| ( ( SV169 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV169 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(1799,plain,
! [SV170: set_a,SV534: a] :
( ( ( ( lattic1781219155_fin_a @ sup @ ( insert_a @ SV534 @ SV170 ) )
= ( sup @ SV534 @ ( lattic1781219155_fin_a @ sup @ SV170 ) ) )
= $true )
| ( ( SV170 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV170 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1606]) ).
thf(1800,plain,
! [SV354: a,SV171: set_a] :
( ( ( SV171 = bot_bot_set_a )
= $true )
| ( ( SV171
= ( insert_a @ SV354 @ bot_bot_set_a ) )
= $true )
| ( ( ord_less_eq_set_a @ SV171 @ ( insert_a @ SV354 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1607]) ).
thf(1801,plain,
! [SV355: a,SV172: set_a] :
( ( ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
| ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
| ~ ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1802,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
| ( SV175 = SV358 ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
| ( SV175 != SV358 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1611]) ).
thf(1803,plain,
! [SV359: a,SV176: a] :
( ( ( ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
| ( SV176 = SV359 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
| ( SV176 != SV359 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1804,plain,
! [SV362: set_a,SV535: a,SV179: set_a] :
( ( ( ord_less_eq_set_a @ SV179 @ ( insert_a @ SV535 @ SV362 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV179 @ SV362 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1614]) ).
thf(1805,plain,
! [SV470: set_set_a,SV181: set_a,SV364: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
| ( ord_le318720350_set_a @ SV364 @ SV470 ) )
| ~ ( ~ ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
| ~ ( ord_le318720350_set_a @ SV364 @ SV470 ) ) )
= $true )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1615]) ).
thf(1806,plain,
! [SV470: set_set_a,SV181: set_a,SV364: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
= ( ord_le318720350_set_a @ SV364 @ SV470 ) )
= $true )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1615]) ).
thf(1807,plain,
! [SV471: set_a,SV182: a,SV365: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
| ( ord_less_eq_set_a @ SV365 @ SV471 ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
| ~ ( ord_less_eq_set_a @ SV365 @ SV471 ) ) )
= $true )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1616]) ).
thf(1808,plain,
! [SV471: set_a,SV182: a,SV365: set_a] :
( ( ( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
= ( ord_less_eq_set_a @ SV365 @ SV471 ) )
= $true )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1616]) ).
thf(1809,plain,
! [SV366: set_a,SV183: set_a,SV536: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV536 @ SV183 ) @ ( insert_a @ SV536 @ SV366 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV183 @ SV366 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1617]) ).
thf(1810,plain,
! [SV368: set_set_a,SV185: set_a] :
( ( ( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
| ( finite_finite_set_a @ SV368 ) )
= $false )
| ( ( ~ ( ~ ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
| ~ ( finite_finite_set_a @ SV368 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1619]) ).
thf(1811,plain,
! [SV369: set_a,SV186: a] :
( ( ( ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
| ( finite_finite_a @ SV369 ) )
= $false )
| ( ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
| ~ ( finite_finite_a @ SV369 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1620]) ).
thf(1812,plain,
! [SV370: a,SV187: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
| ~ ( less_eq @ SV187 @ SV370 ) )
= $false )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
!= bot_bot_set_a )
| ~ ~ ( less_eq @ SV187 @ SV370 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1621]) ).
thf(1813,plain,
! [SV371: a,SV188: a] :
( ( ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
| ~ ( less_eq @ SV188 @ SV371 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_a
!= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
| ~ ~ ( less_eq @ SV188 @ SV371 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1622]) ).
thf(1814,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1623]) ).
thf(1815,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1625]) ).
thf(1816,plain,
! [SV537: a,SV472: a,SV194: a > a > a] :
( ( ( ( SV194 @ SV472 @ ( SV194 @ SV472 @ SV537 ) )
= ( SV194 @ SV472 @ SV537 ) )
= $true )
| ( ( finite40241356em_a_a @ SV194 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(1817,plain,
! [SV538: a,SV195: set_a] :
( ( ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= ( ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) ) )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1628]) ).
thf(1818,plain,
! [SV376: a,SV196: a > $o] :
( ( ( ~ ( ~ ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
| ~ ~ ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 ) ) )
= $true )
| ( ( ! [SY1147: a > $o] :
( ~ ( ~ ( SV196 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1148: a] :
( ~ ( SV196 @ SY1148 )
| ( less_eq @ SY1148 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) )
| ~ ~ ( SY1147 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) ) )
| ( SY1147 @ ( greatest_a @ less_eq @ SV196 ) ) ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1629]) ).
thf(1819,plain,
! [SV197: set_a,SV539: a] :
( ( ( ~ ( ~ ( member_a @ ( sK11_A4 @ SV539 @ SV197 ) @ SV197 )
| ~ ~ ( less_eq @ ( sK11_A4 @ SV539 @ SV197 ) @ SV539 ) )
| ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV197 ) @ SV539 ) )
= $true )
| ( ( SV197 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV197 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1630]) ).
thf(1820,plain,
! [SV198: set_a] :
( ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $false )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1821,plain,
! [SV198: set_a] :
( ( ( ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $false )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1822,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ~ ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1632]) ).
thf(1823,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1632]) ).
thf(1824,plain,
! [SV540: a,SV200: a] :
( ( ! [SY1224: a] :
( ~ ( less_eq @ ( sup @ SV200 @ SV540 ) @ SY1224 )
| ( less_eq @ SV200 @ SY1224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1633]) ).
thf(1825,plain,
! [SV541: a,SV200: a] :
( ( ! [SY1225: a] :
( ~ ( less_eq @ ( sup @ SV200 @ SV541 ) @ SY1225 )
| ( less_eq @ SV541 @ SY1225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1634]) ).
thf(1826,plain,
! [SV422: a,SV378: set_a,SV201: a] :
( ( ( ~ ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV201 @ SV378 )
!= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1635]) ).
thf(1827,plain,
! [SV474: set_a,SV379: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV379 @ SV474 )
| ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 )
| ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1637]) ).
thf(1828,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= ( ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1637]) ).
thf(1829,plain,
! [SV424: set_set_a,SV380: set_set_a,SV203: set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1638]) ).
thf(1830,plain,
! [SV425: a,SV381: a,SV204: a] :
( ( ( ~ ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1640]) ).
thf(1831,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ~ ( ( ord_le318720350_set_a @ SV382 @ SV475 )
| ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) )
| ~ ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 )
| ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1642]) ).
thf(1832,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= ( ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1642]) ).
thf(1833,plain,
! [SV206: a > set_a] :
( ( ( antimono_a_set_a @ less_eq @ SV206 )
= $false )
| ( ( ~ ( ~ ( antimono_a_set_a @ less_eq @ SV206 )
| ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1834,plain,
! [SV206: a > set_a] :
( ( ( ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) )
= $false )
| ( ( ~ ( ~ ( antimono_a_set_a @ less_eq @ SV206 )
| ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1835,plain,
! [SV383: a,SV207: a > $o] :
( ( ( ~ ( ~ ( SV207 @ ( sK26_Y2 @ SV383 @ SV207 ) )
| ~ ~ ( less_eq @ SV383 @ ( sK26_Y2 @ SV383 @ SV207 ) ) ) )
= $true )
| ( ( ( least_a @ less_eq @ SV207 )
= SV383 )
= $true )
| ( ( SV207 @ SV383 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1644]) ).
thf(1836,plain,
! [SV384: a,SV208: a > $o] :
( ( ( ~ ( ~ ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
| ~ ~ ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) ) ) )
= $true )
| ( ( ! [SY1158: a > $o] :
( ~ ( ~ ( SV208 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1159: a] :
( ~ ( SV208 @ SY1159 )
| ( less_eq @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) @ SY1159 ) )
| ~ ~ ( SY1158 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) ) ) )
| ( SY1158 @ ( least_a @ less_eq @ SV208 ) ) ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1645]) ).
thf(1837,plain,
! [SV476: a,SV385: a] :
( ( ~ ( ( SV385 = SV476 )
| ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) )
| ~ ( ( SV385 != SV476 )
| ~ ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1646]) ).
thf(1838,plain,
! [SV476: a,SV385: a] :
( ( ( SV385 = SV476 )
= ( ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1646]) ).
thf(1839,plain,
! [SV428: a,SV386: a,SV210: a] :
( ( ( ~ ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1647]) ).
thf(1840,plain,
! [SV387: a,SV211: a > $o] :
( ( ( ~ ( ~ ( SV211 @ ( sK33_Y2 @ SV387 @ SV211 ) )
| ~ ~ ( less_eq @ ( sK33_Y2 @ SV387 @ SV211 ) @ SV387 ) ) )
= $true )
| ( ( ( greatest_a @ less_eq @ SV211 )
= SV387 )
= $true )
| ( ( SV211 @ SV387 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1649]) ).
thf(1841,plain,
! [SV542: a,SV477: a] :
( ( ~ ( less_eq @ SV477 @ SV542 )
| ( ( max_a @ less_eq @ SV477 @ SV542 )
= SV542 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1650]) ).
thf(1842,plain,
! [SV543: a,SV478: a] :
( ( ( less_eq @ SV478 @ SV543 )
| ( ( max_a @ less_eq @ SV478 @ SV543 )
= SV478 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1651]) ).
thf(1843,plain,
! [SV429: a,SV388: a,SV212: a] :
( ( ( ~ ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1652]) ).
thf(1844,plain,
! [SV213: a > a > a] :
( ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK44_SY743 @ SV213 ) )
| ~ ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) )
| ~ ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) ) ) )
| ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1654]) ).
thf(1845,plain,
! [SV214: set_a,SV430: a] :
( ( ( ~ ( member_a @ ( sK25_X2 @ SV430 @ SV214 ) @ SV214 ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV214 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1655]) ).
thf(1846,plain,
! [SV214: set_a,SV430: a] :
( ( ( ~ ~ ( less_eq @ SV430 @ ( sK25_X2 @ SV430 @ SV214 ) ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV214 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1655]) ).
thf(1847,plain,
! [SV479: a,SV389: a] :
( ( ~ ( ( SV389 = SV479 )
| ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) )
| ~ ( ( SV389 != SV479 )
| ~ ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1656]) ).
thf(1848,plain,
! [SV479: a,SV389: a] :
( ( ( SV389 = SV479 )
= ( ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1656]) ).
thf(1849,plain,
! [SV544: a,SV216: a] :
( ( ! [SY1226: a] :
~ ( less_eq @ SV216 @ ( inf @ SV544 @ SY1226 ) )
| ( less_eq @ SV216 @ SV544 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1657]) ).
thf(1850,plain,
! [SV545: a,SV216: a] :
( ( ! [SY1227: a] :
( ~ ( less_eq @ SV216 @ ( inf @ SV545 @ SY1227 ) )
| ( less_eq @ SV216 @ SY1227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1658]) ).
thf(1851,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ~ ( ~ ! [SY1187: a] :
( ~ ( SV217 @ SY1187 )
| ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SY1187 ) )
| ~ ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) ) )
| ~ ( ( ( sK30_Y2 @ SV432 @ SV217 )
!= SV432 ) ) )
= $false )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1659]) ).
thf(1852,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ~ ( ~ ! [SY1188: a] :
( ~ ( SV218 @ SY1188 )
| ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SY1188 ) )
| ~ ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) ) )
| ~ ( ( ( sK32_Y2 @ SV433 @ SV218 )
!= SV433 ) ) )
= $false )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1660]) ).
thf(1853,plain,
! [SV219: set_a] :
( ( ( ~ ! [SY1033: a] :
( ~ ( member_a @ SY1033 @ SV219 )
| ~ ( less_eq @ SY1033 @ ( sK14_X2 @ SV219 ) )
| ( ( sK14_X2 @ SV219 )
= SY1033 ) )
| ~ ( member_a @ ( sK14_X2 @ SV219 ) @ SV219 ) )
= $false )
| ( ( SV219 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV219 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1661]) ).
thf(1854,plain,
! [SV546: a,SV220: a] :
( ( ! [SY1228: a] :
( ~ ( less_eq @ ( sup @ SV220 @ SV546 ) @ SY1228 )
| ( less_eq @ SV220 @ SY1228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1662]) ).
thf(1855,plain,
! [SV547: a,SV220: a] :
( ( ! [SY1229: a] :
( ~ ( less_eq @ ( sup @ SV220 @ SV547 ) @ SY1229 )
| ( less_eq @ SV547 @ SY1229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1663]) ).
thf(1856,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1664]) ).
thf(1857,plain,
! [SV222: set_a,SV480: a] :
( ( ( ~ ( member_a @ SV480 @ SV222 ) )
= $true )
| ( ( ~ ( ~ ! [SY1207: a] :
( ~ ( member_a @ SY1207 @ SV222 )
| ~ ( less_eq @ SY1207 @ ( sK19_X2 @ SV480 @ SV222 ) )
| ( ( sK19_X2 @ SV480 @ SV222 )
= SY1207 ) )
| ~ ~ ( ~ ( less_eq @ ( sK19_X2 @ SV480 @ SV222 ) @ SV480 )
| ~ ( member_a @ ( sK19_X2 @ SV480 @ SV222 ) @ SV222 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1665]) ).
thf(1858,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1666]) ).
thf(1859,plain,
! [SV481: a,SV392: a] :
( ( ~ ( ( SV392 = SV481 )
| ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) )
| ~ ( ( SV392 != SV481 )
| ~ ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1668]) ).
thf(1860,plain,
! [SV481: a,SV392: a] :
( ( ( SV392 = SV481 )
= ( ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1668]) ).
thf(1861,plain,
! [SV225: a > set_a] :
( ( ( mono_a_set_a @ less_eq @ SV225 )
= $false )
| ( ( ~ ( ~ ( mono_a_set_a @ less_eq @ SV225 )
| ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1669]) ).
thf(1862,plain,
! [SV225: a > set_a] :
( ( ( ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) )
= $false )
| ( ( ~ ( ~ ( mono_a_set_a @ less_eq @ SV225 )
| ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1669]) ).
thf(1863,plain,
! [SV226: set_set_a,SV393: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK10_X2 @ SV393 @ SV226 ) @ SV226 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV226 @ SV393 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1670]) ).
thf(1864,plain,
! [SV226: set_set_a,SV393: set_set_a] :
( ( ( ~ ~ ( member_set_a @ ( sK10_X2 @ SV393 @ SV226 ) @ SV393 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV226 @ SV393 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1670]) ).
thf(1865,plain,
! [SV227: set_a,SV482: a] :
( ( ( ~ ( member_a @ SV482 @ SV227 ) )
= $true )
| ( ( ~ ( ~ ! [SY1208: a] :
( ~ ( member_a @ SY1208 @ SV227 )
| ~ ( less_eq @ ( sK20_X2 @ SV482 @ SV227 ) @ SY1208 )
| ( ( sK20_X2 @ SV482 @ SV227 )
= SY1208 ) )
| ~ ~ ( ~ ( less_eq @ SV482 @ ( sK20_X2 @ SV482 @ SV227 ) )
| ~ ( member_a @ ( sK20_X2 @ SV482 @ SV227 ) @ SV227 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1671]) ).
thf(1866,plain,
! [SV228: set_set_a] :
( ( ( ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ~ ( ( SV228 != bot_bot_set_set_a ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1672]) ).
thf(1867,plain,
! [SV228: set_set_a] :
( ( ( ( SV228 != bot_bot_set_set_a ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ~ ( ( SV228 != bot_bot_set_set_a ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1672]) ).
thf(1868,plain,
! [SV229: a > set_a] :
( ( ( less_eq @ ( sK15_X2 @ SV229 ) @ ( sK16_SY727 @ SV229 ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV229 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1673]) ).
thf(1869,plain,
! [SV229: a > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( SV229 @ ( sK15_X2 @ SV229 ) ) @ ( SV229 @ ( sK16_SY727 @ SV229 ) ) ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV229 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1674]) ).
thf(1870,plain,
! [SV483: set_a,SV394: set_a] :
( ( ~ ( ( SV394 = SV483 )
| ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) )
| ~ ( ( SV394 != SV483 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1675]) ).
thf(1871,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( SV394 = SV483 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1675]) ).
thf(1872,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ~ ( ( ord_le318720350_set_a @ SV395 @ SV484 )
| ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) )
| ~ ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 )
| ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1676]) ).
thf(1873,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= ( ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1676]) ).
thf(1874,plain,
! [SV232: a > a > a] :
( ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sK37_SY738 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( ~ ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) ) ) )
| ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1677]) ).
thf(1875,plain,
! [SV233: set_a,SV438: a] :
( ( ( ~ ( member_a @ ( sK24_X2 @ SV438 @ SV233 ) @ SV233 ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV233 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1876,plain,
! [SV233: set_a,SV438: a] :
( ( ( ~ ~ ( less_eq @ ( sK24_X2 @ SV438 @ SV233 ) @ SV438 ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV233 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1877,plain,
! [SV548: a,SV234: a] :
( ( ! [SY1230: a] :
~ ( less_eq @ SV234 @ ( inf @ SV548 @ SY1230 ) )
| ( less_eq @ SV234 @ SV548 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1679]) ).
thf(1878,plain,
! [SV549: a,SV234: a] :
( ( ! [SY1231: a] :
( ~ ( less_eq @ SV234 @ ( inf @ SV549 @ SY1231 ) )
| ( less_eq @ SV234 @ SY1231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(1879,plain,
! [SV235: a > set_a] :
( ( ( less_eq @ ( sK17_X2 @ SV235 ) @ ( sK18_SY728 @ SV235 ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV235 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1681]) ).
thf(1880,plain,
! [SV235: a > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( SV235 @ ( sK18_SY728 @ SV235 ) ) @ ( SV235 @ ( sK17_X2 @ SV235 ) ) ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV235 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1682]) ).
thf(1881,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
| ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1683]) ).
thf(1882,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1683]) ).
thf(1883,plain,
! [SV440: set_a,SV397: set_a,SV237: a] :
( ( ( ~ ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1684]) ).
thf(1884,plain,
! [SV441: set_a,SV398: a,SV238: a] :
( ( ( ~ ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
| ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV238 @ bot_bot_set_a )
!= ( insert_a @ SV398 @ SV441 ) )
| ~ ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1686]) ).
thf(1885,plain,
! [SV550: set_a,SV486: set_a] :
( ( ( SV486 != SV550 )
| ( ord_less_eq_set_a @ SV486 @ SV550 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1688]) ).
thf(1886,plain,
! [SV551: set_a,SV487: set_a] :
( ( ( SV487 != SV551 )
| ( ord_less_eq_set_a @ SV551 @ SV487 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1689]) ).
thf(1887,plain,
! [SV239: set_a,SV552: a] :
( ( ( ~ ( ~ ( member_a @ ( sK12_A4 @ SV552 @ SV239 ) @ SV239 )
| ~ ~ ( less_eq @ SV552 @ ( sK12_A4 @ SV552 @ SV239 ) ) )
| ( less_eq @ SV552 @ ( lattic247676691_fin_a @ inf @ SV239 ) ) )
= $true )
| ( ( SV239 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV239 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1690]) ).
thf(1888,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) ) )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
!= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1691]) ).
thf(1889,plain,
! [SV241: set_set_a,SV488: set_a] :
( ( ( ~ ( member_set_a @ SV488 @ SV241 ) )
= $true )
| ( ( ~ ( ~ ! [SY1212: set_a] :
( ~ ( member_set_a @ SY1212 @ SV241 )
| ~ ( ord_less_eq_set_a @ SY1212 @ ( sK1_X2 @ SV488 @ SV241 ) )
| ( ( sK1_X2 @ SV488 @ SV241 )
= SY1212 ) )
| ~ ~ ( ~ ( member_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV241 )
| ~ ( ord_less_eq_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV488 ) ) ) )
= $true )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1693]) ).
thf(1890,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1694]) ).
thf(1891,plain,
! [SV243: set_a,SV401: set_a] :
( ( ( ~ ( member_a @ ( sK9_X2 @ SV401 @ SV243 ) @ SV243 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV243 @ SV401 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1892,plain,
! [SV243: set_a,SV401: set_a] :
( ( ( ~ ~ ( member_a @ ( sK9_X2 @ SV401 @ SV243 ) @ SV401 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV243 @ SV401 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1893,plain,
! [SV553: a,SV489: a] :
( ( ~ ( less_eq @ SV489 @ SV553 )
| ( ( min_a @ less_eq @ SV489 @ SV553 )
= SV489 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1697]) ).
thf(1894,plain,
! [SV554: a,SV490: a] :
( ( ( less_eq @ SV490 @ SV554 )
| ( ( min_a @ less_eq @ SV490 @ SV554 )
= SV554 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1698]) ).
thf(1895,plain,
! [SV244: set_a,SV555: a] :
( ( ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= ( ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) ) )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1699]) ).
thf(1896,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
| ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1700]) ).
thf(1897,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1700]) ).
thf(1898,plain,
! [SV246: set_a] :
( ( ( ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ~ ( ( SV246 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1701]) ).
thf(1899,plain,
! [SV246: set_a] :
( ( ( ( SV246 != bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ~ ( ( SV246 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1701]) ).
thf(1900,plain,
! [SV247: set_a] :
( ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $false )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1702]) ).
thf(1901,plain,
! [SV247: set_a] :
( ( ( ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $false )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1702]) ).
thf(1902,plain,
! [SV403: a > $o,SV248: a > $o] :
( ( ( ~ ( SV248 @ ( sK6_X2 @ SV403 @ SV248 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV248 ) @ ( collect_a @ SV403 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1703]) ).
thf(1903,plain,
! [SV248: a > $o,SV403: a > $o] :
( ( ( ~ ~ ( SV403 @ ( sK6_X2 @ SV403 @ SV248 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV248 ) @ ( collect_a @ SV403 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1703]) ).
thf(1904,plain,
! [SV492: set_a,SV404: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV404 @ SV492 )
| ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 )
| ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1704]) ).
thf(1905,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= ( ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1704]) ).
thf(1906,plain,
! [SV250: set_a] :
( ( ( ~ ! [SY1089: a] :
( ~ ( member_a @ SY1089 @ SV250 )
| ~ ( less_eq @ ( sK13_X2 @ SV250 ) @ SY1089 )
| ( ( sK13_X2 @ SV250 )
= SY1089 ) )
| ~ ( member_a @ ( sK13_X2 @ SV250 ) @ SV250 ) )
= $false )
| ( ( SV250 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1705]) ).
thf(1907,plain,
! [SV34: a,SV278: a] :
( ( ( less_eq @ SV278 @ SV34 )
= $false )
| ( ( SV34 = SV278 )
= $true )
| ( ( less_eq @ SV34 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1708]) ).
thf(1908,plain,
! [SV279: set_a > $o,SV35: set_a] :
( ( ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
| ~ ( SV279 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1909,plain,
! [SV35: set_a,SV279: set_a > $o] :
( ( ( SV279 @ SV35 )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
| ~ ( SV279 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1910,plain,
! [SV280: a > $o,SV36: a] :
( ( ( member_a @ SV36 @ ( collect_a @ SV280 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV36 @ ( collect_a @ SV280 ) )
| ~ ( SV280 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1911,plain,
! [SV36: a,SV280: a > $o] :
( ( ( SV280 @ SV36 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV36 @ ( collect_a @ SV280 ) )
| ~ ( SV280 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1912,plain,
! [SV281: a > $o,SV39: a > $o] :
( ( ( ~ ( ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) )
| ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) ) ) )
= $false )
| ( ( ( collect_a @ SV39 )
= ( collect_a @ SV281 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1913,plain,
! [SV281: a > $o,SV39: a > $o] :
( ( ( ~ ( ~ ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) )
| ~ ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) ) ) )
= $false )
| ( ( ( collect_a @ SV39 )
= ( collect_a @ SV281 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1914,plain,
! [SV40: a,SV282: a] :
( ( ( ~ ( ( less_eq @ SV282 @ SV40 )
| ( SV282 = SV40 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV282 @ SV40 )
| ( SV282 != SV40 ) ) )
= $true )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1713]) ).
thf(1915,plain,
! [SV41: a,SV283: a] :
( ( ( less_eq @ SV283 @ SV41 )
= $false )
| ( ( SV283 = SV41 )
= $true )
| ( ( less_eq @ SV41 @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1916,plain,
! [SV284: a,SV42: a,SV495: a] :
( ( ( ~ ( less_eq @ SV495 @ SV42 ) )
= $true )
| ( ( less_eq @ SV495 @ SV284 )
= $true )
| ( ( less_eq @ SV42 @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1716]) ).
thf(1917,plain,
! [SV44: a,SV496: a,SV286: a] :
( ( ( ~ ( less_eq @ SV286 @ SV496 ) )
= $true )
| ( ( less_eq @ SV44 @ SV496 )
= $true )
| ( ( SV44 = SV286 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1717]) ).
thf(1918,plain,
! [SV45: a,SV497: a,SV287: a] :
( ( ( ( SV287 != SV497 ) )
= $true )
| ( ( less_eq @ SV45 @ SV497 )
= $true )
| ( ( less_eq @ SV45 @ SV287 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1718]) ).
thf(1919,plain,
! [SV46: a,SV288: a] :
( ( ( less_eq @ SV288 @ SV46 )
= $false )
| ( ( SV46 = SV288 )
= $true )
| ( ( less_eq @ SV46 @ SV288 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1719]) ).
thf(1920,plain,
! [SV47: a,SV498: a,SV289: a] :
( ( ( ~ ( less_eq @ SV289 @ SV498 ) )
= $true )
| ( ( less_eq @ SV47 @ SV498 )
= $true )
| ( ( less_eq @ SV47 @ SV289 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1720]) ).
thf(1921,plain,
! [SV48: a,SV499: a,SV290: a] :
( ( ( ~ ( less_eq @ SV290 @ SV499 ) )
= $true )
| ( ( less_eq @ SV48 @ SV499 )
= $true )
| ( ( less_eq @ SV48 @ SV290 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1721]) ).
thf(1922,plain,
! [SV293: a,SV502: a,SV51: a] :
( ( ( ~ ( less_eq @ SV51 @ SV502 ) )
= $true )
| ( ( less_eq @ SV51 @ ( inf @ SV293 @ SV502 ) )
= $true )
| ( ( less_eq @ SV51 @ SV293 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1724]) ).
thf(1923,plain,
! [SV294: a,SV52: a] :
( ( ( less_eq @ SV52 @ SV294 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV52 @ SV294 )
| ( ( inf @ SV52 @ SV294 )
!= SV52 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1725]) ).
thf(1924,plain,
! [SV294: a,SV52: a] :
( ( ( ( inf @ SV52 @ SV294 )
= SV52 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV52 @ SV294 )
| ( ( inf @ SV52 @ SV294 )
!= SV52 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1725]) ).
thf(1925,plain,
! [SV295: a,SV53: a,SV556: a,SV503: a] :
( ( ( ~ ( less_eq @ SV503 @ SV556 )
| ( less_eq @ ( inf @ SV53 @ SV503 ) @ ( inf @ SV295 @ SV556 ) ) )
= $true )
| ( ( less_eq @ SV53 @ SV295 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1726]) ).
thf(1926,plain,
! [SV298: a,SV504: a,SV56: a] :
( ( ( ~ ( less_eq @ SV56 @ SV504 ) )
= $true )
| ( ( less_eq @ SV56 @ ( inf @ SV298 @ SV504 ) )
= $true )
| ( ( less_eq @ SV56 @ SV298 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1727]) ).
thf(1927,plain,
! [SV301: a,SV59: a] :
( ( ( less_eq @ SV59 @ SV301 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV59 @ SV301 )
| ( SV59
!= ( inf @ SV59 @ SV301 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1728]) ).
thf(1928,plain,
! [SV301: a,SV59: a] :
( ( ( SV59
= ( inf @ SV59 @ SV301 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV59 @ SV301 )
| ( SV59
!= ( inf @ SV59 @ SV301 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1728]) ).
thf(1929,plain,
! [SV308: a,SV507: a,SV66: a] :
( ( ( ~ ( less_eq @ SV66 @ SV507 ) )
= $true )
| ( ( less_eq @ SV66 @ ( inf @ SV308 @ SV507 ) )
= $true )
| ( ( less_eq @ SV66 @ SV308 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1731]) ).
thf(1930,plain,
! [SV309: a,SV67: a] :
( ( ( less_eq @ SV67 @ SV309 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV67 @ SV309 )
| ( ( inf @ SV309 @ SV67 )
!= SV67 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1732]) ).
thf(1931,plain,
! [SV67: a,SV309: a] :
( ( ( ( inf @ SV309 @ SV67 )
= SV67 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV67 @ SV309 )
| ( ( inf @ SV309 @ SV67 )
!= SV67 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1732]) ).
thf(1932,plain,
! [SV310: a,SV68: a] :
( ( ( less_eq @ SV68 @ SV310 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV68 @ SV310 )
| ( ( inf @ SV68 @ SV310 )
!= SV68 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1733]) ).
thf(1933,plain,
! [SV310: a,SV68: a] :
( ( ( ( inf @ SV68 @ SV310 )
= SV68 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV68 @ SV310 )
| ( ( inf @ SV68 @ SV310 )
!= SV68 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1733]) ).
thf(1934,plain,
! [SV313: a,SV71: a,SV557: a,SV508: a] :
( ( ( ~ ( less_eq @ SV508 @ SV557 )
| ( less_eq @ ( sup @ SV71 @ SV508 ) @ ( sup @ SV313 @ SV557 ) ) )
= $true )
| ( ( less_eq @ SV71 @ SV313 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1734]) ).
thf(1935,plain,
! [SV72: a,SV314: a,SV509: a] :
( ( ( ~ ( less_eq @ SV509 @ SV314 ) )
= $true )
| ( ( less_eq @ ( sup @ SV72 @ SV509 ) @ SV314 )
= $true )
| ( ( less_eq @ SV72 @ SV314 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1735]) ).
thf(1936,plain,
! [SV319: a,SV77: a] :
( ( ( less_eq @ SV77 @ SV319 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV77 @ SV319 )
| ( SV319
!= ( sup @ SV319 @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1736]) ).
thf(1937,plain,
! [SV77: a,SV319: a] :
( ( ( SV319
= ( sup @ SV319 @ SV77 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV77 @ SV319 )
| ( SV319
!= ( sup @ SV319 @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1736]) ).
thf(1938,plain,
! [SV322: a,SV80: a,SV558: a,SV510: a] :
( ( ( ~ ( less_eq @ SV510 @ SV558 )
| ( less_eq @ ( sup @ SV80 @ SV510 ) @ ( sup @ SV322 @ SV558 ) ) )
= $true )
| ( ( less_eq @ SV80 @ SV322 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1737]) ).
thf(1939,plain,
! [SV85: a,SV327: a,SV513: a] :
( ( ( ~ ( less_eq @ SV513 @ SV327 ) )
= $true )
| ( ( less_eq @ ( sup @ SV85 @ SV513 ) @ SV327 )
= $true )
| ( ( less_eq @ SV85 @ SV327 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1740]) ).
thf(1940,plain,
! [SV328: a,SV86: a] :
( ( ( less_eq @ SV86 @ SV328 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV86 @ SV328 )
| ( ( sup @ SV86 @ SV328 )
!= SV328 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1741]) ).
thf(1941,plain,
! [SV328: a,SV86: a] :
( ( ( ( sup @ SV86 @ SV328 )
= SV328 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV86 @ SV328 )
| ( ( sup @ SV86 @ SV328 )
!= SV328 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1741]) ).
thf(1942,plain,
! [SV329: a,SV87: a] :
( ( ( less_eq @ SV87 @ SV329 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV87 @ SV329 )
| ( ( sup @ SV329 @ SV87 )
!= SV329 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1742]) ).
thf(1943,plain,
! [SV87: a,SV329: a] :
( ( ( ( sup @ SV329 @ SV87 )
= SV329 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV87 @ SV329 )
| ( ( sup @ SV329 @ SV87 )
!= SV329 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1742]) ).
thf(1944,plain,
! [SV92: a,SV334: a,SV516: a] :
( ( ( ~ ( less_eq @ SV516 @ SV334 ) )
= $true )
| ( ( less_eq @ ( sup @ SV92 @ SV516 ) @ SV334 )
= $true )
| ( ( less_eq @ SV92 @ SV334 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1745]) ).
thf(1945,plain,
! [SV335: a,SV93: a] :
( ( ( less_eq @ SV93 @ SV335 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV93 @ SV335 )
| ( ( sup @ SV93 @ SV335 )
!= SV335 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1746]) ).
thf(1946,plain,
! [SV335: a,SV93: a] :
( ( ( ( sup @ SV93 @ SV335 )
= SV335 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV93 @ SV335 )
| ( ( sup @ SV93 @ SV335 )
!= SV335 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1746]) ).
thf(1947,plain,
! [SV336: a > a > a] :
( ( ( lattic1885654924_set_a @ SV336 )
= $false )
| ( ( ~ ( ~ ( lattic1885654924_set_a @ SV336 )
| ~ ( semilattice_a @ SV336 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1747]) ).
thf(1948,plain,
! [SV336: a > a > a] :
( ( ( semilattice_a @ SV336 )
= $false )
| ( ( ~ ( ~ ( lattic1885654924_set_a @ SV336 )
| ~ ( semilattice_a @ SV336 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1747]) ).
thf(1949,plain,
! [SV559: a,SV517: a,SV337: a,SV101: a > a > a] :
( ( ( ( SV101 @ SV337 @ ( SV101 @ SV517 @ SV559 ) )
= ( SV101 @ SV517 @ ( SV101 @ SV337 @ SV559 ) ) )
= $true )
| ( ( abel_semigroup_a @ SV101 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1748]) ).
thf(1950,plain,
! [SV560: a,SV521: a,SV338: a,SV107: a > a > a] :
( ( ( ( SV107 @ ( SV107 @ SV338 @ SV521 ) @ SV560 )
= ( SV107 @ SV338 @ ( SV107 @ SV521 @ SV560 ) ) )
= $true )
| ( ( semigroup_a @ SV107 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1752]) ).
thf(1951,plain,
! [SV339: a > a > a] :
( ( ( semigroup_a @ SV339 )
= $false )
| ( ( ~ ( ~ ( semigroup_a @ SV339 )
| ~ ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1753]) ).
thf(1952,plain,
! [SV339: a > a > a] :
( ( ( ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) )
= $false )
| ( ( ~ ( ~ ( semigroup_a @ SV339 )
| ~ ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1753]) ).
thf(1953,plain,
! [SV109: set_a,SV452: set_a] :
( ( ( ord_less_eq_set_a @ SV452 @ SV109 )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV452 )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1754]) ).
thf(1954,plain,
! [SV110: set_a,SV453: set_a] :
( ( ( ord_less_eq_set_a @ SV453 @ SV110 )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV453 )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1755]) ).
thf(1955,plain,
! [SV113: a > set_a,SV522: a,SV454: a] :
( ( ( ~ ( less_eq @ SV454 @ SV522 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV113 @ SV522 ) @ ( SV113 @ SV454 ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1756]) ).
thf(1956,plain,
! [SV114: a > set_a,SV523: a,SV455: a] :
( ( ( ~ ( less_eq @ SV455 @ SV523 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV114 @ SV523 ) @ ( SV114 @ SV455 ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1757]) ).
thf(1957,plain,
! [SV115: a > set_a,SV524: a,SV456: a] :
( ( ( ~ ( less_eq @ SV456 @ SV524 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV115 @ SV456 ) @ ( SV115 @ SV524 ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1758]) ).
thf(1958,plain,
! [SV116: a > set_a,SV525: a,SV457: a] :
( ( ( ~ ( less_eq @ SV457 @ SV525 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV116 @ SV457 ) @ ( SV116 @ SV525 ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1759]) ).
thf(1959,plain,
! [SV117: set_a,SV458: a] :
( ( ( member_a @ SV458 @ SV117 )
= $false )
| ( ( less_eq @ SV458 @ ( lattic1781219155_fin_a @ sup @ SV117 ) )
= $true )
| ( ( finite_finite_a @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1760]) ).
thf(1960,plain,
! [SV118: set_a,SV459: a] :
( ( ( member_a @ SV459 @ SV118 )
= $false )
| ( ( less_eq @ ( lattic247676691_fin_a @ inf @ SV118 ) @ SV459 )
= $true )
| ( ( finite_finite_a @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1761]) ).
thf(1961,plain,
! [SV119: set_a,SV460: a] :
( ( ( member_a @ SV460 @ SV119 )
= $false )
| ( ( ( sup @ SV460 @ ( lattic1781219155_fin_a @ sup @ SV119 ) )
= ( lattic1781219155_fin_a @ sup @ SV119 ) )
= $true )
| ( ( finite_finite_a @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1762]) ).
thf(1962,plain,
! [SV120: set_a,SV461: a] :
( ( ( member_a @ SV461 @ SV120 )
= $false )
| ( ( ( inf @ SV461 @ ( lattic247676691_fin_a @ inf @ SV120 ) )
= ( lattic247676691_fin_a @ inf @ SV120 ) )
= $true )
| ( ( finite_finite_a @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1763]) ).
thf(1963,plain,
! [SV121: set_a,SV462: a] :
( ( ( member_a @ SV462 @ SV121 )
= $false )
| ( ( ( inf @ SV462 @ ( lattic1781219155_fin_a @ sup @ SV121 ) )
= SV462 )
= $true )
| ( ( finite_finite_a @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1764]) ).
thf(1964,plain,
! [SV122: set_a,SV463: a] :
( ( ( member_a @ SV463 @ SV122 )
= $false )
| ( ( ( sup @ ( lattic247676691_fin_a @ inf @ SV122 ) @ SV463 )
= SV463 )
= $true )
| ( ( finite_finite_a @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1765]) ).
thf(1965,plain,
! [SV124: set_a,SV340: set_a] :
( ( ( ~ ( finite_finite_a @ SV340 ) )
= $true )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV124 ) @ ( lattic1781219155_fin_a @ sup @ SV340 ) )
= $true )
| ( ( SV124 = bot_bot_set_a )
= $true )
| ( ( ord_less_eq_set_a @ SV124 @ SV340 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1766]) ).
thf(1966,plain,
! [SV125: set_a,SV341: set_a] :
( ( ( ~ ( finite_finite_a @ SV341 ) )
= $true )
| ( ( less_eq @ ( lattic247676691_fin_a @ inf @ SV341 ) @ ( lattic247676691_fin_a @ inf @ SV125 ) )
= $true )
| ( ( SV125 = bot_bot_set_a )
= $true )
| ( ( ord_less_eq_set_a @ SV125 @ SV341 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1767]) ).
thf(1967,plain,
! [SV126: set_a,SV464: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV464 @ SV126 ) )
= $true )
| ( ( ( inf @ ( lattic247676691_fin_a @ inf @ SV464 ) @ ( lattic247676691_fin_a @ inf @ SV126 ) )
= ( lattic247676691_fin_a @ inf @ SV126 ) )
= $true )
| ( ( SV464 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1768]) ).
thf(1968,plain,
! [SV127: set_a,SV465: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV465 @ SV127 ) )
= $true )
| ( ( ( sup @ ( lattic1781219155_fin_a @ sup @ SV465 ) @ ( lattic1781219155_fin_a @ sup @ SV127 ) )
= ( lattic1781219155_fin_a @ sup @ SV127 ) )
= $true )
| ( ( SV465 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1769]) ).
thf(1969,plain,
! [SV128: set_a,SV526: a] :
( ( ( ~ ( less_eq @ SV526 @ ( lattic247676691_fin_a @ inf @ SV128 ) ) )
= $true )
| ( ( ! [SY1221: a] :
( ~ ( member_a @ SY1221 @ SV128 )
| ( less_eq @ SV526 @ SY1221 ) ) )
= $true )
| ( ( SV128 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1770]) ).
thf(1970,plain,
! [SV527: a,SV129: set_a] :
( ( ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV129 ) @ SV527 ) )
= $true )
| ( ( ! [SY1222: a] :
( ~ ( member_a @ SY1222 @ SV129 )
| ( less_eq @ SY1222 @ SV527 ) ) )
= $true )
| ( ( SV129 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1771]) ).
thf(1971,plain,
! [SV132: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
| ( SV132 != bot_bot_set_a ) )
= $false )
| ( ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1772]) ).
thf(1972,plain,
! [SV132: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
| ( SV132 != bot_bot_set_a ) )
= $false )
| ( ( SV132 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1773]) ).
thf(1973,plain,
! [SV133: a > $o] :
( ( ( ( bot_bot_set_a
!= ( collect_a @ SV133 ) )
| ~ ! [SY924: a] :
~ ( SV133 @ SY924 ) )
= $false )
| ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1774]) ).
thf(1974,plain,
! [SV133: a > $o] :
( ( ( ~ ( SV133 @ ( sK57_SY924 @ SV133 ) ) )
= $false )
| ( ( ~ ( ( bot_bot_set_a
!= ( collect_a @ SV133 ) )
| ~ ! [SY924: a] :
~ ( SV133 @ SY924 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1775]) ).
thf(1975,plain,
! [SV134: a > $o] :
( ( ( ( ( collect_a @ SV134 )
!= bot_bot_set_a )
| ~ ! [SY925: a] :
~ ( SV134 @ SY925 ) )
= $false )
| ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1776]) ).
thf(1976,plain,
! [SV134: a > $o] :
( ( ( ~ ( SV134 @ ( sK58_SY925 @ SV134 ) ) )
= $false )
| ( ( ~ ( ( ( collect_a @ SV134 )
!= bot_bot_set_a )
| ~ ! [SY925: a] :
~ ( SV134 @ SY925 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1777]) ).
thf(1977,plain,
! [SV135: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK59_SY926 @ SV135 ) @ SV135 ) )
= $false )
| ( ( ~ ( ~ ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 )
| ( SV135 != bot_bot_set_set_a ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1778]) ).
thf(1978,plain,
! [SV135: set_set_a] :
( ( ( ~ ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 )
| ( SV135 != bot_bot_set_set_a ) )
= $false )
| ( ( SV135 = bot_bot_set_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1779]) ).
thf(1979,plain,
! [SV136: set_a] :
( ( ( ~ ( member_a @ ( sK60_SY927 @ SV136 ) @ SV136 ) )
= $false )
| ( ( ~ ( ~ ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 )
| ( SV136 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1780]) ).
thf(1980,plain,
! [SV136: set_a] :
( ( ( ~ ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 )
| ( SV136 != bot_bot_set_a ) )
= $false )
| ( ( SV136 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1781]) ).
thf(1981,plain,
! [SV139: set_a,SV342: set_a] :
( ( ( ord_less_eq_set_a @ SV342 @ SV139 )
= $false )
| ( ( SV139 = SV342 )
= $true )
| ( ( ord_less_eq_set_a @ SV139 @ SV342 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1782]) ).
thf(1982,plain,
! [SV343: a,SV141: a] :
( ( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
| ~ ( less_eq @ SV343 @ SV141 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1783]) ).
thf(1983,plain,
! [SV141: a,SV343: a] :
( ( ( less_eq @ SV343 @ SV141 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
| ~ ( less_eq @ SV343 @ SV141 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1783]) ).
thf(1984,plain,
! [SV344: a,SV142: a] :
( ( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
| ~ ( less_eq @ SV142 @ SV344 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1985,plain,
! [SV344: a,SV142: a] :
( ( ( less_eq @ SV142 @ SV344 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
| ~ ( less_eq @ SV142 @ SV344 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1986,plain,
! [SV151: set_a,SV528: set_a,SV345: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV345 @ SV528 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV151 @ SV528 )
= $true )
| ( ( ord_less_eq_set_a @ SV151 @ SV345 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1787]) ).
thf(1987,plain,
! [SV348: set_set_a,SV155: set_set_a,SV529: set_a] :
( ( ( ~ ( member_set_a @ SV529 @ SV155 ) )
= $true )
| ( ( member_set_a @ SV529 @ SV348 )
= $true )
| ( ( ord_le318720350_set_a @ SV155 @ SV348 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1788]) ).
thf(1988,plain,
! [SV349: set_a,SV156: set_a,SV530: a] :
( ( ( ~ ( member_a @ SV530 @ SV156 ) )
= $true )
| ( ( member_a @ SV530 @ SV349 )
= $true )
| ( ( ord_less_eq_set_a @ SV156 @ SV349 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1789]) ).
thf(1989,plain,
! [SV350: set_set_a,SV157: set_set_a,SV531: set_a] :
( ( ( ~ ( member_set_a @ SV531 @ SV157 ) )
= $true )
| ( ( member_set_a @ SV531 @ SV350 )
= $true )
| ( ( ord_le318720350_set_a @ SV157 @ SV350 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1790]) ).
thf(1990,plain,
! [SV351: set_a,SV158: set_a,SV532: a] :
( ( ( ~ ( member_a @ SV532 @ SV158 ) )
= $true )
| ( ( member_a @ SV532 @ SV351 )
= $true )
| ( ( ord_less_eq_set_a @ SV158 @ SV351 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1791]) ).
thf(1991,plain,
! [SV159: set_a] :
( ( ( member_a @ ( sup @ ( sK4_X2 @ SV159 ) @ ( sK5_SY724 @ SV159 ) ) @ ( insert_a @ ( sK4_X2 @ SV159 ) @ ( insert_a @ ( sK5_SY724 @ SV159 ) @ bot_bot_set_a ) ) )
= $false )
| ( ( member_a @ ( lattic1781219155_fin_a @ sup @ SV159 ) @ SV159 )
= $true )
| ( ( SV159 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV159 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1792]) ).
thf(1992,plain,
! [SV468: a,SV160: set_a] :
( ( ( SV160 = bot_bot_set_a )
= $true )
| ( ( ( lattic1781219155_fin_a @ sup @ ( insert_a @ SV468 @ SV160 ) )
= ( sup @ SV468 @ ( lattic1781219155_fin_a @ sup @ SV160 ) ) )
= $true )
| ( ( member_a @ SV468 @ SV160 )
= $true )
| ( ( finite_finite_a @ SV160 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1793]) ).
thf(1993,plain,
! [SV161: set_a] :
( ( ( member_a @ ( inf @ ( sK2_X2 @ SV161 ) @ ( sK3_SY723 @ SV161 ) ) @ ( insert_a @ ( sK2_X2 @ SV161 ) @ ( insert_a @ ( sK3_SY723 @ SV161 ) @ bot_bot_set_a ) ) )
= $false )
| ( ( member_a @ ( lattic247676691_fin_a @ inf @ SV161 ) @ SV161 )
= $true )
| ( ( SV161 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1794]) ).
thf(1994,plain,
! [SV469: a,SV162: set_a] :
( ( ( SV162 = bot_bot_set_a )
= $true )
| ( ( ( lattic247676691_fin_a @ inf @ ( insert_a @ SV469 @ SV162 ) )
= ( inf @ SV469 @ ( lattic247676691_fin_a @ inf @ SV162 ) ) )
= $true )
| ( ( member_a @ SV469 @ SV162 )
= $true )
| ( ( finite_finite_a @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1795]) ).
thf(1995,plain,
! [SV352: set_a,SV165: a] :
( ( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
= $false )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
| ~ ( condit1627435690bove_a @ less_eq @ SV352 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1796]) ).
thf(1996,plain,
! [SV165: a,SV352: set_a] :
( ( ( condit1627435690bove_a @ less_eq @ SV352 )
= $false )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
| ~ ( condit1627435690bove_a @ less_eq @ SV352 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1796]) ).
thf(1997,plain,
! [SV353: set_a,SV166: a] :
( ( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
= $false )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
| ~ ( condit1001553558elow_a @ less_eq @ SV353 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1797]) ).
thf(1998,plain,
! [SV166: a,SV353: set_a] :
( ( ( condit1001553558elow_a @ less_eq @ SV353 )
= $false )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
| ~ ( condit1001553558elow_a @ less_eq @ SV353 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1797]) ).
thf(1999,plain,
! [SV355: a,SV172: set_a] :
( ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
| ~ ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1801]) ).
thf(2000,plain,
! [SV355: a,SV172: set_a] :
( ( ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
| ~ ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1801]) ).
thf(2001,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
| ( SV175 != SV358 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1802]) ).
thf(2002,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( SV175 = SV358 )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
| ( SV175 != SV358 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1802]) ).
thf(2003,plain,
! [SV359: a,SV176: a] :
( ( ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
| ( SV176 != SV359 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1803]) ).
thf(2004,plain,
! [SV359: a,SV176: a] :
( ( ( SV176 = SV359 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
| ( SV176 != SV359 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1803]) ).
thf(2005,plain,
! [SV470: set_set_a,SV181: set_a,SV364: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
| ( ord_le318720350_set_a @ SV364 @ SV470 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
| ~ ( ord_le318720350_set_a @ SV364 @ SV470 ) ) )
= $true )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1805]) ).
thf(2006,plain,
! [SV471: set_a,SV182: a,SV365: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
| ( ord_less_eq_set_a @ SV365 @ SV471 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
| ~ ( ord_less_eq_set_a @ SV365 @ SV471 ) ) )
= $true )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1807]) ).
thf(2007,plain,
! [SV368: set_set_a,SV185: set_a] :
( ( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
= $false )
| ( ( ~ ( ~ ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
| ~ ( finite_finite_set_a @ SV368 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1810]) ).
thf(2008,plain,
! [SV185: set_a,SV368: set_set_a] :
( ( ( finite_finite_set_a @ SV368 )
= $false )
| ( ( ~ ( ~ ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
| ~ ( finite_finite_set_a @ SV368 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1810]) ).
thf(2009,plain,
! [SV369: set_a,SV186: a] :
( ( ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
= $false )
| ( ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
| ~ ( finite_finite_a @ SV369 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1811]) ).
thf(2010,plain,
! [SV186: a,SV369: set_a] :
( ( ( finite_finite_a @ SV369 )
= $false )
| ( ( ~ ( ~ ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
| ~ ( finite_finite_a @ SV369 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1811]) ).
thf(2011,plain,
! [SV370: a,SV187: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
= $false )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
!= bot_bot_set_a )
| ~ ~ ( less_eq @ SV187 @ SV370 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1812]) ).
thf(2012,plain,
! [SV370: a,SV187: a] :
( ( ( ~ ( less_eq @ SV187 @ SV370 ) )
= $false )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
!= bot_bot_set_a )
| ~ ~ ( less_eq @ SV187 @ SV370 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1812]) ).
thf(2013,plain,
! [SV371: a,SV188: a] :
( ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_a
!= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
| ~ ~ ( less_eq @ SV188 @ SV371 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1813]) ).
thf(2014,plain,
! [SV371: a,SV188: a] :
( ( ( ~ ( less_eq @ SV188 @ SV371 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_a
!= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
| ~ ~ ( less_eq @ SV188 @ SV371 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1813]) ).
thf(2015,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1814]) ).
thf(2016,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1815]) ).
thf(2017,plain,
! [SV538: a,SV195: set_a] :
( ( ( ~ ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) )
| ~ ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) ) )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1817]) ).
thf(2018,plain,
! [SV538: a,SV195: set_a] :
( ( ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= ( ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) ) )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1817]) ).
thf(2019,plain,
! [SV376: a,SV196: a > $o] :
( ( ( ~ ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
| ~ ~ ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 ) )
= $false )
| ( ( ! [SY1147: a > $o] :
( ~ ( ~ ( SV196 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1148: a] :
( ~ ( SV196 @ SY1148 )
| ( less_eq @ SY1148 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) )
| ~ ~ ( SY1147 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) ) )
| ( SY1147 @ ( greatest_a @ less_eq @ SV196 ) ) ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(2020,plain,
! [SV197: set_a,SV539: a] :
( ( ( ~ ( ~ ( member_a @ ( sK11_A4 @ SV539 @ SV197 ) @ SV197 )
| ~ ~ ( less_eq @ ( sK11_A4 @ SV539 @ SV197 ) @ SV539 ) ) )
= $true )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV197 ) @ SV539 )
= $true )
| ( ( SV197 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV197 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1819]) ).
thf(2021,plain,
! [SV198: set_a] :
( ( ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1820]) ).
thf(2022,plain,
! [SV198: set_a] :
( ( ( ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $true )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1821]) ).
thf(2023,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1822]) ).
thf(2024,plain,
! [SV561: a,SV540: a,SV200: a] :
( ( ~ ( less_eq @ ( sup @ SV200 @ SV540 ) @ SV561 )
| ( less_eq @ SV200 @ SV561 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1824]) ).
thf(2025,plain,
! [SV562: a,SV541: a,SV200: a] :
( ( ~ ( less_eq @ ( sup @ SV200 @ SV541 ) @ SV562 )
| ( less_eq @ SV541 @ SV562 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1825]) ).
thf(2026,plain,
! [SV422: a,SV378: set_a,SV201: a] :
( ( ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV201 @ SV378 )
!= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1826]) ).
thf(2027,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV379 @ SV474 )
| ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 )
| ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1827]) ).
thf(2028,plain,
! [SV424: set_set_a,SV380: set_set_a,SV203: set_a] :
( ( ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1829]) ).
thf(2029,plain,
! [SV425: a,SV381: a,SV204: a] :
( ( ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1830]) ).
thf(2030,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV382 @ SV475 )
| ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 )
| ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1831]) ).
thf(2031,plain,
! [SV206: a > set_a] :
( ( ( ~ ( antimono_a_set_a @ less_eq @ SV206 )
| ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) )
= $false )
| ( ( antimono_a_set_a @ less_eq @ SV206 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1833]) ).
thf(2032,plain,
! [SV206: a > set_a] :
( ( ( ! [SY1233: a] :
( ~ ( less_eq @ ( sK61_SY1006 @ SV206 ) @ SY1233 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1233 ) @ ( SV206 @ ( sK61_SY1006 @ SV206 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( antimono_a_set_a @ less_eq @ SV206 )
| ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1834]) ).
thf(2033,plain,
! [SV383: a,SV207: a > $o] :
( ( ( ~ ( SV207 @ ( sK26_Y2 @ SV383 @ SV207 ) )
| ~ ~ ( less_eq @ SV383 @ ( sK26_Y2 @ SV383 @ SV207 ) ) )
= $false )
| ( ( ( least_a @ less_eq @ SV207 )
= SV383 )
= $true )
| ( ( SV207 @ SV383 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1835]) ).
thf(2034,plain,
! [SV384: a,SV208: a > $o] :
( ( ( ~ ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
| ~ ~ ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) ) )
= $false )
| ( ( ! [SY1158: a > $o] :
( ~ ( ~ ( SV208 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1159: a] :
( ~ ( SV208 @ SY1159 )
| ( less_eq @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) @ SY1159 ) )
| ~ ~ ( SY1158 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) ) ) )
| ( SY1158 @ ( least_a @ less_eq @ SV208 ) ) ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1836]) ).
thf(2035,plain,
! [SV476: a,SV385: a] :
( ( ( ~ ( ( SV385 = SV476 )
| ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) ) )
= $true )
| ( ( ~ ( ( SV385 != SV476 )
| ~ ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1837]) ).
thf(2036,plain,
! [SV428: a,SV386: a,SV210: a] :
( ( ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(2037,plain,
! [SV387: a,SV211: a > $o] :
( ( ( ~ ( SV211 @ ( sK33_Y2 @ SV387 @ SV211 ) )
| ~ ~ ( less_eq @ ( sK33_Y2 @ SV387 @ SV211 ) @ SV387 ) )
= $false )
| ( ( ( greatest_a @ less_eq @ SV211 )
= SV387 )
= $true )
| ( ( SV211 @ SV387 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1840]) ).
thf(2038,plain,
! [SV542: a,SV477: a] :
( ( ( ~ ( less_eq @ SV477 @ SV542 ) )
= $true )
| ( ( ( max_a @ less_eq @ SV477 @ SV542 )
= SV542 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1841]) ).
thf(2039,plain,
! [SV543: a,SV478: a] :
( ( ( less_eq @ SV478 @ SV543 )
= $true )
| ( ( ( max_a @ less_eq @ SV478 @ SV543 )
= SV478 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1842]) ).
thf(2040,plain,
! [SV429: a,SV388: a,SV212: a] :
( ( ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1843]) ).
thf(2041,plain,
! [SV213: a > a > a] :
( ( ( ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK44_SY743 @ SV213 ) )
| ~ ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) )
| ~ ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) ) ) ) )
= $true )
| ( ( ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1844]) ).
thf(2042,plain,
! [SV214: set_a,SV430: a] :
( ( ( member_a @ ( sK25_X2 @ SV430 @ SV214 ) @ SV214 )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV214 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1845]) ).
thf(2043,plain,
! [SV214: set_a,SV430: a] :
( ( ( ~ ( less_eq @ SV430 @ ( sK25_X2 @ SV430 @ SV214 ) ) )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV214 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1846]) ).
thf(2044,plain,
! [SV479: a,SV389: a] :
( ( ( ~ ( ( SV389 = SV479 )
| ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) ) )
= $true )
| ( ( ~ ( ( SV389 != SV479 )
| ~ ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1847]) ).
thf(2045,plain,
! [SV544: a,SV216: a] :
( ( ( ! [SY1226: a] :
~ ( less_eq @ SV216 @ ( inf @ SV544 @ SY1226 ) ) )
= $true )
| ( ( less_eq @ SV216 @ SV544 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1849]) ).
thf(2046,plain,
! [SV563: a,SV545: a,SV216: a] :
( ( ~ ( less_eq @ SV216 @ ( inf @ SV545 @ SV563 ) )
| ( less_eq @ SV216 @ SV563 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1850]) ).
thf(2047,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ~ ( ~ ! [SY1187: a] :
( ~ ( SV217 @ SY1187 )
| ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SY1187 ) )
| ~ ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1851]) ).
thf(2048,plain,
! [SV217: a > $o,SV432: a] :
( ( ( ~ ( ( ( sK30_Y2 @ SV432 @ SV217 )
!= SV432 ) ) )
= $false )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1851]) ).
thf(2049,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ~ ( ~ ! [SY1188: a] :
( ~ ( SV218 @ SY1188 )
| ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SY1188 ) )
| ~ ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1852]) ).
thf(2050,plain,
! [SV218: a > $o,SV433: a] :
( ( ( ~ ( ( ( sK32_Y2 @ SV433 @ SV218 )
!= SV433 ) ) )
= $false )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1852]) ).
thf(2051,plain,
! [SV219: set_a] :
( ( ( ~ ! [SY1033: a] :
( ~ ( member_a @ SY1033 @ SV219 )
| ~ ( less_eq @ SY1033 @ ( sK14_X2 @ SV219 ) )
| ( ( sK14_X2 @ SV219 )
= SY1033 ) ) )
= $false )
| ( ( SV219 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV219 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1853]) ).
thf(2052,plain,
! [SV219: set_a] :
( ( ( ~ ( member_a @ ( sK14_X2 @ SV219 ) @ SV219 ) )
= $false )
| ( ( SV219 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV219 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1853]) ).
thf(2053,plain,
! [SV564: a,SV546: a,SV220: a] :
( ( ~ ( less_eq @ ( sup @ SV220 @ SV546 ) @ SV564 )
| ( less_eq @ SV220 @ SV564 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1854]) ).
thf(2054,plain,
! [SV565: a,SV547: a,SV220: a] :
( ( ~ ( less_eq @ ( sup @ SV220 @ SV547 ) @ SV565 )
| ( less_eq @ SV547 @ SV565 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1855]) ).
thf(2055,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1856]) ).
thf(2056,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1856]) ).
thf(2057,plain,
! [SV222: set_a,SV480: a] :
( ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( ~ ( ~ ! [SY1207: a] :
( ~ ( member_a @ SY1207 @ SV222 )
| ~ ( less_eq @ SY1207 @ ( sK19_X2 @ SV480 @ SV222 ) )
| ( ( sK19_X2 @ SV480 @ SV222 )
= SY1207 ) )
| ~ ~ ( ~ ( less_eq @ ( sK19_X2 @ SV480 @ SV222 ) @ SV480 )
| ~ ( member_a @ ( sK19_X2 @ SV480 @ SV222 ) @ SV222 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(2058,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1858]) ).
thf(2059,plain,
! [SV481: a,SV392: a] :
( ( ( ~ ( ( SV392 = SV481 )
| ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) ) )
= $true )
| ( ( ~ ( ( SV392 != SV481 )
| ~ ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1859]) ).
thf(2060,plain,
! [SV225: a > set_a] :
( ( ( ~ ( mono_a_set_a @ less_eq @ SV225 )
| ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) )
= $false )
| ( ( mono_a_set_a @ less_eq @ SV225 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1861]) ).
thf(2061,plain,
! [SV225: a > set_a] :
( ( ( ! [SY1234: a] :
( ~ ( less_eq @ ( sK62_SY1046 @ SV225 ) @ SY1234 )
| ( ord_less_eq_set_a @ ( SV225 @ ( sK62_SY1046 @ SV225 ) ) @ ( SV225 @ SY1234 ) ) ) )
= $false )
| ( ( ~ ( ~ ( mono_a_set_a @ less_eq @ SV225 )
| ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1862]) ).
thf(2062,plain,
! [SV226: set_set_a,SV393: set_set_a] :
( ( ( member_set_a @ ( sK10_X2 @ SV393 @ SV226 ) @ SV226 )
= $true )
| ( ( ord_le318720350_set_a @ SV226 @ SV393 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1863]) ).
thf(2063,plain,
! [SV226: set_set_a,SV393: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK10_X2 @ SV393 @ SV226 ) @ SV393 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV226 @ SV393 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1864]) ).
thf(2064,plain,
! [SV227: set_a,SV482: a] :
( ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( ~ ( ~ ! [SY1208: a] :
( ~ ( member_a @ SY1208 @ SV227 )
| ~ ( less_eq @ ( sK20_X2 @ SV482 @ SV227 ) @ SY1208 )
| ( ( sK20_X2 @ SV482 @ SV227 )
= SY1208 ) )
| ~ ~ ( ~ ( less_eq @ SV482 @ ( sK20_X2 @ SV482 @ SV227 ) )
| ~ ( member_a @ ( sK20_X2 @ SV482 @ SV227 ) @ SV227 ) ) ) )
= $true )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1865]) ).
thf(2065,plain,
! [SV228: set_set_a] :
( ( ( ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ~ ( ( SV228 != bot_bot_set_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1866]) ).
thf(2066,plain,
! [SV228: set_set_a] :
( ( ( SV228 = bot_bot_set_set_a )
= $true )
| ( ( ~ ( ~ ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ~ ( ( SV228 != bot_bot_set_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1867]) ).
thf(2067,plain,
! [SV229: a > set_a] :
( ( ( ord_less_eq_set_a @ ( SV229 @ ( sK15_X2 @ SV229 ) ) @ ( SV229 @ ( sK16_SY727 @ SV229 ) ) )
= $false )
| ( ( mono_a_set_a @ less_eq @ SV229 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1869]) ).
thf(2068,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ~ ( ( SV394 = SV483 )
| ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) ) )
= $true )
| ( ( ~ ( ( SV394 != SV483 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1870]) ).
thf(2069,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV395 @ SV484 )
| ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 )
| ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1872]) ).
thf(2070,plain,
! [SV232: a > a > a] :
( ( ( ~ ( ~ ( less_eq @ ( sK37_SY738 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( ~ ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) ) ) ) )
= $true )
| ( ( ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1874]) ).
thf(2071,plain,
! [SV233: set_a,SV438: a] :
( ( ( member_a @ ( sK24_X2 @ SV438 @ SV233 ) @ SV233 )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV233 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1875]) ).
thf(2072,plain,
! [SV233: set_a,SV438: a] :
( ( ( ~ ( less_eq @ ( sK24_X2 @ SV438 @ SV233 ) @ SV438 ) )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV233 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1876]) ).
thf(2073,plain,
! [SV548: a,SV234: a] :
( ( ( ! [SY1230: a] :
~ ( less_eq @ SV234 @ ( inf @ SV548 @ SY1230 ) ) )
= $true )
| ( ( less_eq @ SV234 @ SV548 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1877]) ).
thf(2074,plain,
! [SV566: a,SV549: a,SV234: a] :
( ( ~ ( less_eq @ SV234 @ ( inf @ SV549 @ SV566 ) )
| ( less_eq @ SV234 @ SV566 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1878]) ).
thf(2075,plain,
! [SV235: a > set_a] :
( ( ( ord_less_eq_set_a @ ( SV235 @ ( sK18_SY728 @ SV235 ) ) @ ( SV235 @ ( sK17_X2 @ SV235 ) ) )
= $false )
| ( ( antimono_a_set_a @ less_eq @ SV235 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1880]) ).
thf(2076,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1881]) ).
thf(2077,plain,
! [SV440: set_a,SV397: set_a,SV237: a] :
( ( ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1883]) ).
thf(2078,plain,
! [SV441: set_a,SV398: a,SV238: a] :
( ( ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
| ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV238 @ bot_bot_set_a )
!= ( insert_a @ SV398 @ SV441 ) )
| ~ ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1884]) ).
thf(2079,plain,
! [SV550: set_a,SV486: set_a] :
( ( ( ( SV486 != SV550 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV486 @ SV550 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1885]) ).
thf(2080,plain,
! [SV551: set_a,SV487: set_a] :
( ( ( ( SV487 != SV551 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV551 @ SV487 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1886]) ).
thf(2081,plain,
! [SV239: set_a,SV552: a] :
( ( ( ~ ( ~ ( member_a @ ( sK12_A4 @ SV552 @ SV239 ) @ SV239 )
| ~ ~ ( less_eq @ SV552 @ ( sK12_A4 @ SV552 @ SV239 ) ) ) )
= $true )
| ( ( less_eq @ SV552 @ ( lattic247676691_fin_a @ inf @ SV239 ) )
= $true )
| ( ( SV239 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV239 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1887]) ).
thf(2082,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) )
= $false )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
!= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1888]) ).
thf(2083,plain,
! [SV241: set_set_a,SV488: set_a] :
( ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( ~ ( ~ ! [SY1212: set_a] :
( ~ ( member_set_a @ SY1212 @ SV241 )
| ~ ( ord_less_eq_set_a @ SY1212 @ ( sK1_X2 @ SV488 @ SV241 ) )
| ( ( sK1_X2 @ SV488 @ SV241 )
= SY1212 ) )
| ~ ~ ( ~ ( member_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV241 )
| ~ ( ord_less_eq_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV488 ) ) ) )
= $true )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1889]) ).
thf(2084,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1890]) ).
thf(2085,plain,
! [SV243: set_a,SV401: set_a] :
( ( ( member_a @ ( sK9_X2 @ SV401 @ SV243 ) @ SV243 )
= $true )
| ( ( ord_less_eq_set_a @ SV243 @ SV401 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1891]) ).
thf(2086,plain,
! [SV243: set_a,SV401: set_a] :
( ( ( ~ ( member_a @ ( sK9_X2 @ SV401 @ SV243 ) @ SV401 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV243 @ SV401 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1892]) ).
thf(2087,plain,
! [SV553: a,SV489: a] :
( ( ( ~ ( less_eq @ SV489 @ SV553 ) )
= $true )
| ( ( ( min_a @ less_eq @ SV489 @ SV553 )
= SV489 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1893]) ).
thf(2088,plain,
! [SV554: a,SV490: a] :
( ( ( less_eq @ SV490 @ SV554 )
= $true )
| ( ( ( min_a @ less_eq @ SV490 @ SV554 )
= SV554 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1894]) ).
thf(2089,plain,
! [SV244: set_a,SV555: a] :
( ( ( ~ ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) )
| ~ ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) ) )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1895]) ).
thf(2090,plain,
! [SV244: set_a,SV555: a] :
( ( ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= ( ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) ) )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1895]) ).
thf(2091,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1896]) ).
thf(2092,plain,
! [SV246: set_a] :
( ( ( ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ~ ( ( SV246 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1898]) ).
thf(2093,plain,
! [SV246: set_a] :
( ( ( SV246 = bot_bot_set_a )
= $true )
| ( ( ~ ( ~ ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ~ ( ( SV246 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1899]) ).
thf(2094,plain,
! [SV247: set_a] :
( ( ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1900]) ).
thf(2095,plain,
! [SV247: set_a] :
( ( ( ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $true )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1901]) ).
thf(2096,plain,
! [SV403: a > $o,SV248: a > $o] :
( ( ( SV248 @ ( sK6_X2 @ SV403 @ SV248 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV248 ) @ ( collect_a @ SV403 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1902]) ).
thf(2097,plain,
! [SV248: a > $o,SV403: a > $o] :
( ( ( ~ ( SV403 @ ( sK6_X2 @ SV403 @ SV248 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV248 ) @ ( collect_a @ SV403 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1903]) ).
thf(2098,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV404 @ SV492 )
| ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 )
| ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1904]) ).
thf(2099,plain,
! [SV250: set_a] :
( ( ( ~ ! [SY1089: a] :
( ~ ( member_a @ SY1089 @ SV250 )
| ~ ( less_eq @ ( sK13_X2 @ SV250 ) @ SY1089 )
| ( ( sK13_X2 @ SV250 )
= SY1089 ) ) )
= $false )
| ( ( SV250 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV250 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1906]) ).
thf(2100,plain,
! [SV250: set_a] :
( ( ( ~ ( member_a @ ( sK13_X2 @ SV250 ) @ SV250 ) )
= $false )
| ( ( SV250 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV250 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1906]) ).
thf(2101,plain,
! [SV279: set_a > $o,SV35: set_a] :
( ( ( ~ ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
| ~ ( SV279 @ SV35 ) )
= $false )
| ( ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1908]) ).
thf(2102,plain,
! [SV279: set_a > $o,SV35: set_a] :
( ( ( ~ ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
| ~ ( SV279 @ SV35 ) )
= $false )
| ( ( SV279 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1909]) ).
thf(2103,plain,
! [SV280: a > $o,SV36: a] :
( ( ( ~ ( member_a @ SV36 @ ( collect_a @ SV280 ) )
| ~ ( SV280 @ SV36 ) )
= $false )
| ( ( member_a @ SV36 @ ( collect_a @ SV280 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1910]) ).
thf(2104,plain,
! [SV280: a > $o,SV36: a] :
( ( ( ~ ( member_a @ SV36 @ ( collect_a @ SV280 ) )
| ~ ( SV280 @ SV36 ) )
= $false )
| ( ( SV280 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1911]) ).
thf(2105,plain,
! [SV281: a > $o,SV39: a > $o] :
( ( ( ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) )
| ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) ) )
= $true )
| ( ( ( collect_a @ SV39 )
= ( collect_a @ SV281 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1912]) ).
thf(2106,plain,
! [SV281: a > $o,SV39: a > $o] :
( ( ( ~ ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) )
| ~ ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) ) )
= $true )
| ( ( ( collect_a @ SV39 )
= ( collect_a @ SV281 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1913]) ).
thf(2107,plain,
! [SV40: a,SV282: a] :
( ( ( ( less_eq @ SV282 @ SV40 )
| ( SV282 = SV40 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV282 @ SV40 )
| ( SV282 != SV40 ) ) )
= $true )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1914]) ).
thf(2108,plain,
! [SV284: a,SV42: a,SV495: a] :
( ( ( less_eq @ SV495 @ SV42 )
= $false )
| ( ( less_eq @ SV495 @ SV284 )
= $true )
| ( ( less_eq @ SV42 @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1916]) ).
thf(2109,plain,
! [SV44: a,SV496: a,SV286: a] :
( ( ( less_eq @ SV286 @ SV496 )
= $false )
| ( ( less_eq @ SV44 @ SV496 )
= $true )
| ( ( SV44 = SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1917]) ).
thf(2110,plain,
! [SV45: a,SV497: a,SV287: a] :
( ( ( SV287 = SV497 )
= $false )
| ( ( less_eq @ SV45 @ SV497 )
= $true )
| ( ( less_eq @ SV45 @ SV287 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1918]) ).
thf(2111,plain,
! [SV47: a,SV498: a,SV289: a] :
( ( ( less_eq @ SV289 @ SV498 )
= $false )
| ( ( less_eq @ SV47 @ SV498 )
= $true )
| ( ( less_eq @ SV47 @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1920]) ).
thf(2112,plain,
! [SV48: a,SV499: a,SV290: a] :
( ( ( less_eq @ SV290 @ SV499 )
= $false )
| ( ( less_eq @ SV48 @ SV499 )
= $true )
| ( ( less_eq @ SV48 @ SV290 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1921]) ).
thf(2113,plain,
! [SV293: a,SV502: a,SV51: a] :
( ( ( less_eq @ SV51 @ SV502 )
= $false )
| ( ( less_eq @ SV51 @ ( inf @ SV293 @ SV502 ) )
= $true )
| ( ( less_eq @ SV51 @ SV293 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1922]) ).
thf(2114,plain,
! [SV294: a,SV52: a] :
( ( ( ~ ( less_eq @ SV52 @ SV294 )
| ( ( inf @ SV52 @ SV294 )
!= SV52 ) )
= $false )
| ( ( less_eq @ SV52 @ SV294 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1923]) ).
thf(2115,plain,
! [SV294: a,SV52: a] :
( ( ( ~ ( less_eq @ SV52 @ SV294 )
| ( ( inf @ SV52 @ SV294 )
!= SV52 ) )
= $false )
| ( ( ( inf @ SV52 @ SV294 )
= SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1924]) ).
thf(2116,plain,
! [SV295: a,SV53: a,SV556: a,SV503: a] :
( ( ( ~ ( less_eq @ SV503 @ SV556 ) )
= $true )
| ( ( less_eq @ ( inf @ SV53 @ SV503 ) @ ( inf @ SV295 @ SV556 ) )
= $true )
| ( ( less_eq @ SV53 @ SV295 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1925]) ).
thf(2117,plain,
! [SV298: a,SV504: a,SV56: a] :
( ( ( less_eq @ SV56 @ SV504 )
= $false )
| ( ( less_eq @ SV56 @ ( inf @ SV298 @ SV504 ) )
= $true )
| ( ( less_eq @ SV56 @ SV298 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1926]) ).
thf(2118,plain,
! [SV301: a,SV59: a] :
( ( ( ~ ( less_eq @ SV59 @ SV301 )
| ( SV59
!= ( inf @ SV59 @ SV301 ) ) )
= $false )
| ( ( less_eq @ SV59 @ SV301 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1927]) ).
thf(2119,plain,
! [SV301: a,SV59: a] :
( ( ( ~ ( less_eq @ SV59 @ SV301 )
| ( SV59
!= ( inf @ SV59 @ SV301 ) ) )
= $false )
| ( ( SV59
= ( inf @ SV59 @ SV301 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1928]) ).
thf(2120,plain,
! [SV308: a,SV507: a,SV66: a] :
( ( ( less_eq @ SV66 @ SV507 )
= $false )
| ( ( less_eq @ SV66 @ ( inf @ SV308 @ SV507 ) )
= $true )
| ( ( less_eq @ SV66 @ SV308 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1929]) ).
thf(2121,plain,
! [SV309: a,SV67: a] :
( ( ( ~ ( less_eq @ SV67 @ SV309 )
| ( ( inf @ SV309 @ SV67 )
!= SV67 ) )
= $false )
| ( ( less_eq @ SV67 @ SV309 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1930]) ).
thf(2122,plain,
! [SV309: a,SV67: a] :
( ( ( ~ ( less_eq @ SV67 @ SV309 )
| ( ( inf @ SV309 @ SV67 )
!= SV67 ) )
= $false )
| ( ( ( inf @ SV309 @ SV67 )
= SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1931]) ).
thf(2123,plain,
! [SV310: a,SV68: a] :
( ( ( ~ ( less_eq @ SV68 @ SV310 )
| ( ( inf @ SV68 @ SV310 )
!= SV68 ) )
= $false )
| ( ( less_eq @ SV68 @ SV310 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1932]) ).
thf(2124,plain,
! [SV310: a,SV68: a] :
( ( ( ~ ( less_eq @ SV68 @ SV310 )
| ( ( inf @ SV68 @ SV310 )
!= SV68 ) )
= $false )
| ( ( ( inf @ SV68 @ SV310 )
= SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1933]) ).
thf(2125,plain,
! [SV313: a,SV71: a,SV557: a,SV508: a] :
( ( ( ~ ( less_eq @ SV508 @ SV557 ) )
= $true )
| ( ( less_eq @ ( sup @ SV71 @ SV508 ) @ ( sup @ SV313 @ SV557 ) )
= $true )
| ( ( less_eq @ SV71 @ SV313 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1934]) ).
thf(2126,plain,
! [SV72: a,SV314: a,SV509: a] :
( ( ( less_eq @ SV509 @ SV314 )
= $false )
| ( ( less_eq @ ( sup @ SV72 @ SV509 ) @ SV314 )
= $true )
| ( ( less_eq @ SV72 @ SV314 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1935]) ).
thf(2127,plain,
! [SV319: a,SV77: a] :
( ( ( ~ ( less_eq @ SV77 @ SV319 )
| ( SV319
!= ( sup @ SV319 @ SV77 ) ) )
= $false )
| ( ( less_eq @ SV77 @ SV319 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1936]) ).
thf(2128,plain,
! [SV319: a,SV77: a] :
( ( ( ~ ( less_eq @ SV77 @ SV319 )
| ( SV319
!= ( sup @ SV319 @ SV77 ) ) )
= $false )
| ( ( SV319
= ( sup @ SV319 @ SV77 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1937]) ).
thf(2129,plain,
! [SV322: a,SV80: a,SV558: a,SV510: a] :
( ( ( ~ ( less_eq @ SV510 @ SV558 ) )
= $true )
| ( ( less_eq @ ( sup @ SV80 @ SV510 ) @ ( sup @ SV322 @ SV558 ) )
= $true )
| ( ( less_eq @ SV80 @ SV322 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1938]) ).
thf(2130,plain,
! [SV85: a,SV327: a,SV513: a] :
( ( ( less_eq @ SV513 @ SV327 )
= $false )
| ( ( less_eq @ ( sup @ SV85 @ SV513 ) @ SV327 )
= $true )
| ( ( less_eq @ SV85 @ SV327 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1939]) ).
thf(2131,plain,
! [SV328: a,SV86: a] :
( ( ( ~ ( less_eq @ SV86 @ SV328 )
| ( ( sup @ SV86 @ SV328 )
!= SV328 ) )
= $false )
| ( ( less_eq @ SV86 @ SV328 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1940]) ).
thf(2132,plain,
! [SV328: a,SV86: a] :
( ( ( ~ ( less_eq @ SV86 @ SV328 )
| ( ( sup @ SV86 @ SV328 )
!= SV328 ) )
= $false )
| ( ( ( sup @ SV86 @ SV328 )
= SV328 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1941]) ).
thf(2133,plain,
! [SV329: a,SV87: a] :
( ( ( ~ ( less_eq @ SV87 @ SV329 )
| ( ( sup @ SV329 @ SV87 )
!= SV329 ) )
= $false )
| ( ( less_eq @ SV87 @ SV329 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1942]) ).
thf(2134,plain,
! [SV329: a,SV87: a] :
( ( ( ~ ( less_eq @ SV87 @ SV329 )
| ( ( sup @ SV329 @ SV87 )
!= SV329 ) )
= $false )
| ( ( ( sup @ SV329 @ SV87 )
= SV329 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1943]) ).
thf(2135,plain,
! [SV92: a,SV334: a,SV516: a] :
( ( ( less_eq @ SV516 @ SV334 )
= $false )
| ( ( less_eq @ ( sup @ SV92 @ SV516 ) @ SV334 )
= $true )
| ( ( less_eq @ SV92 @ SV334 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1944]) ).
thf(2136,plain,
! [SV335: a,SV93: a] :
( ( ( ~ ( less_eq @ SV93 @ SV335 )
| ( ( sup @ SV93 @ SV335 )
!= SV335 ) )
= $false )
| ( ( less_eq @ SV93 @ SV335 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1945]) ).
thf(2137,plain,
! [SV335: a,SV93: a] :
( ( ( ~ ( less_eq @ SV93 @ SV335 )
| ( ( sup @ SV93 @ SV335 )
!= SV335 ) )
= $false )
| ( ( ( sup @ SV93 @ SV335 )
= SV335 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1946]) ).
thf(2138,plain,
! [SV336: a > a > a] :
( ( ( ~ ( lattic1885654924_set_a @ SV336 )
| ~ ( semilattice_a @ SV336 ) )
= $false )
| ( ( lattic1885654924_set_a @ SV336 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1947]) ).
thf(2139,plain,
! [SV336: a > a > a] :
( ( ( ~ ( lattic1885654924_set_a @ SV336 )
| ~ ( semilattice_a @ SV336 ) )
= $false )
| ( ( semilattice_a @ SV336 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1948]) ).
thf(2140,plain,
! [SV339: a > a > a] :
( ( ( ~ ( semigroup_a @ SV339 )
| ~ ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) )
= $false )
| ( ( semigroup_a @ SV339 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1951]) ).
thf(2141,plain,
! [SV339: a > a > a] :
( ( ( ! [SY1235: a,SY1236: a] :
( ( SV339 @ ( SV339 @ ( sK63_SY1133 @ SV339 ) @ SY1235 ) @ SY1236 )
= ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( SV339 @ SY1235 @ SY1236 ) ) ) )
= $false )
| ( ( ~ ( ~ ( semigroup_a @ SV339 )
| ~ ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1952]) ).
thf(2142,plain,
! [SV113: a > set_a,SV522: a,SV454: a] :
( ( ( less_eq @ SV454 @ SV522 )
= $false )
| ( ( ord_less_eq_set_a @ ( SV113 @ SV522 ) @ ( SV113 @ SV454 ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1955]) ).
thf(2143,plain,
! [SV114: a > set_a,SV523: a,SV455: a] :
( ( ( less_eq @ SV455 @ SV523 )
= $false )
| ( ( ord_less_eq_set_a @ ( SV114 @ SV523 ) @ ( SV114 @ SV455 ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1956]) ).
thf(2144,plain,
! [SV115: a > set_a,SV524: a,SV456: a] :
( ( ( less_eq @ SV456 @ SV524 )
= $false )
| ( ( ord_less_eq_set_a @ ( SV115 @ SV456 ) @ ( SV115 @ SV524 ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1957]) ).
thf(2145,plain,
! [SV116: a > set_a,SV525: a,SV457: a] :
( ( ( less_eq @ SV457 @ SV525 )
= $false )
| ( ( ord_less_eq_set_a @ ( SV116 @ SV457 ) @ ( SV116 @ SV525 ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1958]) ).
thf(2146,plain,
! [SV124: set_a,SV340: set_a] :
( ( ( finite_finite_a @ SV340 )
= $false )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV124 ) @ ( lattic1781219155_fin_a @ sup @ SV340 ) )
= $true )
| ( ( SV124 = bot_bot_set_a )
= $true )
| ( ( ord_less_eq_set_a @ SV124 @ SV340 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1965]) ).
thf(2147,plain,
! [SV125: set_a,SV341: set_a] :
( ( ( finite_finite_a @ SV341 )
= $false )
| ( ( less_eq @ ( lattic247676691_fin_a @ inf @ SV341 ) @ ( lattic247676691_fin_a @ inf @ SV125 ) )
= $true )
| ( ( SV125 = bot_bot_set_a )
= $true )
| ( ( ord_less_eq_set_a @ SV125 @ SV341 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1966]) ).
thf(2148,plain,
! [SV126: set_a,SV464: set_a] :
( ( ( ord_less_eq_set_a @ SV464 @ SV126 )
= $false )
| ( ( ( inf @ ( lattic247676691_fin_a @ inf @ SV464 ) @ ( lattic247676691_fin_a @ inf @ SV126 ) )
= ( lattic247676691_fin_a @ inf @ SV126 ) )
= $true )
| ( ( SV464 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1967]) ).
thf(2149,plain,
! [SV127: set_a,SV465: set_a] :
( ( ( ord_less_eq_set_a @ SV465 @ SV127 )
= $false )
| ( ( ( sup @ ( lattic1781219155_fin_a @ sup @ SV465 ) @ ( lattic1781219155_fin_a @ sup @ SV127 ) )
= ( lattic1781219155_fin_a @ sup @ SV127 ) )
= $true )
| ( ( SV465 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1968]) ).
thf(2150,plain,
! [SV128: set_a,SV526: a] :
( ( ( less_eq @ SV526 @ ( lattic247676691_fin_a @ inf @ SV128 ) )
= $false )
| ( ( ! [SY1221: a] :
( ~ ( member_a @ SY1221 @ SV128 )
| ( less_eq @ SV526 @ SY1221 ) ) )
= $true )
| ( ( SV128 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1969]) ).
thf(2151,plain,
! [SV527: a,SV129: set_a] :
( ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV129 ) @ SV527 )
= $false )
| ( ( ! [SY1222: a] :
( ~ ( member_a @ SY1222 @ SV129 )
| ( less_eq @ SY1222 @ SV527 ) ) )
= $true )
| ( ( SV129 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1970]) ).
thf(2152,plain,
! [SV132: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a ) )
= $false )
| ( ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1971]) ).
thf(2153,plain,
! [SV132: set_a] :
( ( ( ( SV132 != bot_bot_set_a ) )
= $false )
| ( ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1971]) ).
thf(2154,plain,
! [SV132: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a ) )
= $false )
| ( ( SV132 = bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1972]) ).
thf(2155,plain,
! [SV132: set_a] :
( ( ( ( SV132 != bot_bot_set_a ) )
= $false )
| ( ( SV132 = bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1972]) ).
thf(2156,plain,
! [SV133: a > $o] :
( ( ( ( bot_bot_set_a
!= ( collect_a @ SV133 ) ) )
= $false )
| ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1973]) ).
thf(2157,plain,
! [SV133: a > $o] :
( ( ( ~ ! [SY924: a] :
~ ( SV133 @ SY924 ) )
= $false )
| ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1973]) ).
thf(2158,plain,
! [SV133: a > $o] :
( ( ( SV133 @ ( sK57_SY924 @ SV133 ) )
= $true )
| ( ( ~ ( ( bot_bot_set_a
!= ( collect_a @ SV133 ) )
| ~ ! [SY924: a] :
~ ( SV133 @ SY924 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1974]) ).
thf(2159,plain,
! [SV134: a > $o] :
( ( ( ( ( collect_a @ SV134 )
!= bot_bot_set_a ) )
= $false )
| ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1975]) ).
thf(2160,plain,
! [SV134: a > $o] :
( ( ( ~ ! [SY925: a] :
~ ( SV134 @ SY925 ) )
= $false )
| ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1975]) ).
thf(2161,plain,
! [SV134: a > $o] :
( ( ( SV134 @ ( sK58_SY925 @ SV134 ) )
= $true )
| ( ( ~ ( ( ( collect_a @ SV134 )
!= bot_bot_set_a )
| ~ ! [SY925: a] :
~ ( SV134 @ SY925 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1976]) ).
thf(2162,plain,
! [SV135: set_set_a] :
( ( ( member_set_a @ ( sK59_SY926 @ SV135 ) @ SV135 )
= $true )
| ( ( ~ ( ~ ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 )
| ( SV135 != bot_bot_set_set_a ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1977]) ).
thf(2163,plain,
! [SV135: set_set_a] :
( ( ( ~ ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 ) )
= $false )
| ( ( SV135 = bot_bot_set_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1978]) ).
thf(2164,plain,
! [SV135: set_set_a] :
( ( ( ( SV135 != bot_bot_set_set_a ) )
= $false )
| ( ( SV135 = bot_bot_set_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1978]) ).
thf(2165,plain,
! [SV136: set_a] :
( ( ( member_a @ ( sK60_SY927 @ SV136 ) @ SV136 )
= $true )
| ( ( ~ ( ~ ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 )
| ( SV136 != bot_bot_set_a ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1979]) ).
thf(2166,plain,
! [SV136: set_a] :
( ( ( ~ ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 ) )
= $false )
| ( ( SV136 = bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1980]) ).
thf(2167,plain,
! [SV136: set_a] :
( ( ( ( SV136 != bot_bot_set_a ) )
= $false )
| ( ( SV136 = bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1980]) ).
thf(2168,plain,
! [SV343: a,SV141: a] :
( ( ( ~ ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
| ~ ( less_eq @ SV343 @ SV141 ) )
= $false )
| ( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1982]) ).
thf(2169,plain,
! [SV343: a,SV141: a] :
( ( ( ~ ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
| ~ ( less_eq @ SV343 @ SV141 ) )
= $false )
| ( ( less_eq @ SV343 @ SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1983]) ).
thf(2170,plain,
! [SV344: a,SV142: a] :
( ( ( ~ ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
| ~ ( less_eq @ SV142 @ SV344 ) )
= $false )
| ( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1984]) ).
thf(2171,plain,
! [SV344: a,SV142: a] :
( ( ( ~ ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
| ~ ( less_eq @ SV142 @ SV344 ) )
= $false )
| ( ( less_eq @ SV142 @ SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1985]) ).
thf(2172,plain,
! [SV151: set_a,SV528: set_a,SV345: set_a] :
( ( ( ord_less_eq_set_a @ SV345 @ SV528 )
= $false )
| ( ( ord_less_eq_set_a @ SV151 @ SV528 )
= $true )
| ( ( ord_less_eq_set_a @ SV151 @ SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1986]) ).
thf(2173,plain,
! [SV348: set_set_a,SV155: set_set_a,SV529: set_a] :
( ( ( member_set_a @ SV529 @ SV155 )
= $false )
| ( ( member_set_a @ SV529 @ SV348 )
= $true )
| ( ( ord_le318720350_set_a @ SV155 @ SV348 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1987]) ).
thf(2174,plain,
! [SV349: set_a,SV156: set_a,SV530: a] :
( ( ( member_a @ SV530 @ SV156 )
= $false )
| ( ( member_a @ SV530 @ SV349 )
= $true )
| ( ( ord_less_eq_set_a @ SV156 @ SV349 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1988]) ).
thf(2175,plain,
! [SV350: set_set_a,SV157: set_set_a,SV531: set_a] :
( ( ( member_set_a @ SV531 @ SV157 )
= $false )
| ( ( member_set_a @ SV531 @ SV350 )
= $true )
| ( ( ord_le318720350_set_a @ SV157 @ SV350 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1989]) ).
thf(2176,plain,
! [SV351: set_a,SV158: set_a,SV532: a] :
( ( ( member_a @ SV532 @ SV158 )
= $false )
| ( ( member_a @ SV532 @ SV351 )
= $true )
| ( ( ord_less_eq_set_a @ SV158 @ SV351 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1990]) ).
thf(2177,plain,
! [SV352: set_a,SV165: a] :
( ( ( ~ ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
| ~ ( condit1627435690bove_a @ less_eq @ SV352 ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1995]) ).
thf(2178,plain,
! [SV352: set_a,SV165: a] :
( ( ( ~ ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
| ~ ( condit1627435690bove_a @ less_eq @ SV352 ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV352 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1996]) ).
thf(2179,plain,
! [SV353: set_a,SV166: a] :
( ( ( ~ ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
| ~ ( condit1001553558elow_a @ less_eq @ SV353 ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1997]) ).
thf(2180,plain,
! [SV353: set_a,SV166: a] :
( ( ( ~ ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
| ~ ( condit1001553558elow_a @ less_eq @ SV353 ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV353 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1998]) ).
thf(2181,plain,
! [SV355: a,SV172: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
| ~ ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1999]) ).
thf(2182,plain,
! [SV355: a,SV172: set_a] :
( ( ( SV172 = bot_bot_set_a )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
| ~ ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2183,plain,
! [SV355: a,SV172: set_a] :
( ( ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
| ~ ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2184,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( ~ ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
| ( SV175 != SV358 ) )
= $false )
| ( ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2001]) ).
thf(2185,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( ~ ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
| ( SV175 != SV358 ) )
= $false )
| ( ( SV175 = SV358 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2002]) ).
thf(2186,plain,
! [SV359: a,SV176: a] :
( ( ( ~ ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
| ( SV176 != SV359 ) )
= $false )
| ( ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2003]) ).
thf(2187,plain,
! [SV359: a,SV176: a] :
( ( ( ~ ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
| ( SV176 != SV359 ) )
= $false )
| ( ( SV176 = SV359 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2004]) ).
thf(2188,plain,
! [SV470: set_set_a,SV181: set_a,SV364: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
| ( ord_le318720350_set_a @ SV364 @ SV470 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
| ~ ( ord_le318720350_set_a @ SV364 @ SV470 ) ) )
= $true )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2005]) ).
thf(2189,plain,
! [SV471: set_a,SV182: a,SV365: set_a] :
( ( ( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
| ( ord_less_eq_set_a @ SV365 @ SV471 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
| ~ ( ord_less_eq_set_a @ SV365 @ SV471 ) ) )
= $true )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2006]) ).
thf(2190,plain,
! [SV368: set_set_a,SV185: set_a] :
( ( ( ~ ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
| ~ ( finite_finite_set_a @ SV368 ) )
= $false )
| ( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2007]) ).
thf(2191,plain,
! [SV368: set_set_a,SV185: set_a] :
( ( ( ~ ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
| ~ ( finite_finite_set_a @ SV368 ) )
= $false )
| ( ( finite_finite_set_a @ SV368 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2008]) ).
thf(2192,plain,
! [SV369: set_a,SV186: a] :
( ( ( ~ ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
| ~ ( finite_finite_a @ SV369 ) )
= $false )
| ( ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2009]) ).
thf(2193,plain,
! [SV369: set_a,SV186: a] :
( ( ( ~ ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
| ~ ( finite_finite_a @ SV369 ) )
= $false )
| ( ( finite_finite_a @ SV369 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2010]) ).
thf(2194,plain,
! [SV370: a,SV187: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
!= bot_bot_set_a )
| ~ ~ ( less_eq @ SV187 @ SV370 ) )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2011]) ).
thf(2195,plain,
! [SV370: a,SV187: a] :
( ( ( less_eq @ SV187 @ SV370 )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
!= bot_bot_set_a )
| ~ ~ ( less_eq @ SV187 @ SV370 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2012]) ).
thf(2196,plain,
! [SV371: a,SV188: a] :
( ( ( ( bot_bot_set_a
!= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
| ~ ~ ( less_eq @ SV188 @ SV371 ) )
= $false )
| ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2013]) ).
thf(2197,plain,
! [SV371: a,SV188: a] :
( ( ( less_eq @ SV188 @ SV371 )
= $true )
| ( ( ~ ( ( bot_bot_set_a
!= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
| ~ ~ ( less_eq @ SV188 @ SV371 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2014]) ).
thf(2198,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2015]) ).
thf(2199,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2015]) ).
thf(2200,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2016]) ).
thf(2201,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2016]) ).
thf(2202,plain,
! [SV538: a,SV195: set_a] :
( ( ( ~ ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) ) )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2017]) ).
thf(2203,plain,
! [SV376: a,SV196: a > $o] :
( ( ( ~ ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) ) )
= $false )
| ( ( ! [SY1147: a > $o] :
( ~ ( ~ ( SV196 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1148: a] :
( ~ ( SV196 @ SY1148 )
| ( less_eq @ SY1148 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) )
| ~ ~ ( SY1147 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) ) )
| ( SY1147 @ ( greatest_a @ less_eq @ SV196 ) ) ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2019]) ).
thf(2204,plain,
! [SV196: a > $o,SV376: a] :
( ( ( ~ ~ ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 ) )
= $false )
| ( ( ! [SY1147: a > $o] :
( ~ ( ~ ( SV196 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1148: a] :
( ~ ( SV196 @ SY1148 )
| ( less_eq @ SY1148 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) )
| ~ ~ ( SY1147 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) ) )
| ( SY1147 @ ( greatest_a @ less_eq @ SV196 ) ) ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2019]) ).
thf(2205,plain,
! [SV197: set_a,SV539: a] :
( ( ( ~ ( member_a @ ( sK11_A4 @ SV539 @ SV197 ) @ SV197 )
| ~ ~ ( less_eq @ ( sK11_A4 @ SV539 @ SV197 ) @ SV539 ) )
= $false )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV197 ) @ SV539 )
= $true )
| ( ( SV197 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV197 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2020]) ).
thf(2206,plain,
! [SV198: set_a] :
( ( ( ~ ( condit1627435690bove_a @ less_eq @ SV198 ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2021]) ).
thf(2207,plain,
! [SV198: set_a] :
( ( ( ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2021]) ).
thf(2208,plain,
! [SV567: a,SV198: set_a] :
( ( ( ~ ! [SY1237: a] :
( ~ ( member_a @ SY1237 @ SV198 )
| ( less_eq @ SY1237 @ SV567 ) ) )
= $true )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2022]) ).
thf(2209,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2023]) ).
thf(2210,plain,
! [SV561: a,SV540: a,SV200: a] :
( ( ( ~ ( less_eq @ ( sup @ SV200 @ SV540 ) @ SV561 ) )
= $true )
| ( ( less_eq @ SV200 @ SV561 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2024]) ).
thf(2211,plain,
! [SV562: a,SV541: a,SV200: a] :
( ( ( ~ ( less_eq @ ( sup @ SV200 @ SV541 ) @ SV562 ) )
= $true )
| ( ( less_eq @ SV541 @ SV562 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2025]) ).
thf(2212,plain,
! [SV422: a,SV378: set_a,SV201: a] :
( ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV201 @ SV378 )
!= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2026]) ).
thf(2213,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV201 @ SV378 )
!= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2026]) ).
thf(2214,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ( ord_less_eq_set_a @ SV379 @ SV474 )
| ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 )
| ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2027]) ).
thf(2215,plain,
! [SV424: set_set_a,SV380: set_set_a,SV203: set_a] :
( ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2028]) ).
thf(2216,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2028]) ).
thf(2217,plain,
! [SV425: a,SV381: a,SV204: a] :
( ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2029]) ).
thf(2218,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2029]) ).
thf(2219,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV382 @ SV475 )
| ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 )
| ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2030]) ).
thf(2220,plain,
! [SV206: a > set_a] :
( ( ( ~ ( antimono_a_set_a @ less_eq @ SV206 ) )
= $false )
| ( ( antimono_a_set_a @ less_eq @ SV206 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2031]) ).
thf(2221,plain,
! [SV206: a > set_a] :
( ( ( ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) )
= $false )
| ( ( antimono_a_set_a @ less_eq @ SV206 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2031]) ).
thf(2222,plain,
! [SV206: a > set_a] :
( ( ( ~ ( less_eq @ ( sK61_SY1006 @ SV206 ) @ ( sK64_SY1233 @ SV206 ) )
| ( ord_less_eq_set_a @ ( SV206 @ ( sK64_SY1233 @ SV206 ) ) @ ( SV206 @ ( sK61_SY1006 @ SV206 ) ) ) )
= $false )
| ( ( ~ ( ~ ( antimono_a_set_a @ less_eq @ SV206 )
| ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2032]) ).
thf(2223,plain,
! [SV383: a,SV207: a > $o] :
( ( ( ~ ( SV207 @ ( sK26_Y2 @ SV383 @ SV207 ) ) )
= $false )
| ( ( ( least_a @ less_eq @ SV207 )
= SV383 )
= $true )
| ( ( SV207 @ SV383 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2033]) ).
thf(2224,plain,
! [SV207: a > $o,SV383: a] :
( ( ( ~ ~ ( less_eq @ SV383 @ ( sK26_Y2 @ SV383 @ SV207 ) ) )
= $false )
| ( ( ( least_a @ less_eq @ SV207 )
= SV383 )
= $true )
| ( ( SV207 @ SV383 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2033]) ).
thf(2225,plain,
! [SV384: a,SV208: a > $o] :
( ( ( ~ ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) ) )
= $false )
| ( ( ! [SY1158: a > $o] :
( ~ ( ~ ( SV208 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1159: a] :
( ~ ( SV208 @ SY1159 )
| ( less_eq @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) @ SY1159 ) )
| ~ ~ ( SY1158 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) ) ) )
| ( SY1158 @ ( least_a @ less_eq @ SV208 ) ) ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2034]) ).
thf(2226,plain,
! [SV208: a > $o,SV384: a] :
( ( ( ~ ~ ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) ) )
= $false )
| ( ( ! [SY1158: a > $o] :
( ~ ( ~ ( SV208 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1159: a] :
( ~ ( SV208 @ SY1159 )
| ( less_eq @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) @ SY1159 ) )
| ~ ~ ( SY1158 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) ) ) )
| ( SY1158 @ ( least_a @ less_eq @ SV208 ) ) ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2034]) ).
thf(2227,plain,
! [SV476: a,SV385: a] :
( ( ( ( SV385 = SV476 )
| ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) )
= $false )
| ( ( ~ ( ( SV385 != SV476 )
| ~ ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2035]) ).
thf(2228,plain,
! [SV428: a,SV386: a,SV210: a] :
( ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2036]) ).
thf(2229,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2036]) ).
thf(2230,plain,
! [SV387: a,SV211: a > $o] :
( ( ( ~ ( SV211 @ ( sK33_Y2 @ SV387 @ SV211 ) ) )
= $false )
| ( ( ( greatest_a @ less_eq @ SV211 )
= SV387 )
= $true )
| ( ( SV211 @ SV387 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2037]) ).
thf(2231,plain,
! [SV211: a > $o,SV387: a] :
( ( ( ~ ~ ( less_eq @ ( sK33_Y2 @ SV387 @ SV211 ) @ SV387 ) )
= $false )
| ( ( ( greatest_a @ less_eq @ SV211 )
= SV387 )
= $true )
| ( ( SV211 @ SV387 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2037]) ).
thf(2232,plain,
! [SV542: a,SV477: a] :
( ( ( less_eq @ SV477 @ SV542 )
= $false )
| ( ( ( max_a @ less_eq @ SV477 @ SV542 )
= SV542 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2038]) ).
thf(2233,plain,
! [SV429: a,SV388: a,SV212: a] :
( ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2040]) ).
thf(2234,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2040]) ).
thf(2235,plain,
! [SV213: a > a > a] :
( ( ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK44_SY743 @ SV213 ) )
| ~ ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) )
| ~ ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) ) ) )
= $false )
| ( ( ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2041]) ).
thf(2236,plain,
! [SV214: set_a,SV430: a] :
( ( ( less_eq @ SV430 @ ( sK25_X2 @ SV430 @ SV214 ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV214 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2043]) ).
thf(2237,plain,
! [SV479: a,SV389: a] :
( ( ( ( SV389 = SV479 )
| ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) )
= $false )
| ( ( ~ ( ( SV389 != SV479 )
| ~ ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2044]) ).
thf(2238,plain,
! [SV568: a,SV544: a,SV216: a] :
( ( ( ~ ( less_eq @ SV216 @ ( inf @ SV544 @ SV568 ) ) )
= $true )
| ( ( less_eq @ SV216 @ SV544 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2045]) ).
thf(2239,plain,
! [SV563: a,SV545: a,SV216: a] :
( ( ( ~ ( less_eq @ SV216 @ ( inf @ SV545 @ SV563 ) ) )
= $true )
| ( ( less_eq @ SV216 @ SV563 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2046]) ).
thf(2240,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ( ~ ! [SY1187: a] :
( ~ ( SV217 @ SY1187 )
| ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SY1187 ) )
| ~ ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2047]) ).
thf(2241,plain,
! [SV217: a > $o,SV432: a] :
( ( ( ( ( sK30_Y2 @ SV432 @ SV217 )
!= SV432 ) )
= $true )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2048]) ).
thf(2242,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ( ~ ! [SY1188: a] :
( ~ ( SV218 @ SY1188 )
| ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SY1188 ) )
| ~ ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2049]) ).
thf(2243,plain,
! [SV218: a > $o,SV433: a] :
( ( ( ( ( sK32_Y2 @ SV433 @ SV218 )
!= SV433 ) )
= $true )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2050]) ).
thf(2244,plain,
! [SV219: set_a] :
( ( ( ! [SY1033: a] :
( ~ ( member_a @ SY1033 @ SV219 )
| ~ ( less_eq @ SY1033 @ ( sK14_X2 @ SV219 ) )
| ( ( sK14_X2 @ SV219 )
= SY1033 ) ) )
= $true )
| ( ( SV219 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV219 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2051]) ).
thf(2245,plain,
! [SV219: set_a] :
( ( ( member_a @ ( sK14_X2 @ SV219 ) @ SV219 )
= $true )
| ( ( SV219 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV219 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2052]) ).
thf(2246,plain,
! [SV564: a,SV546: a,SV220: a] :
( ( ( ~ ( less_eq @ ( sup @ SV220 @ SV546 ) @ SV564 ) )
= $true )
| ( ( less_eq @ SV220 @ SV564 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2053]) ).
thf(2247,plain,
! [SV565: a,SV547: a,SV220: a] :
( ( ( ~ ( less_eq @ ( sup @ SV220 @ SV547 ) @ SV565 ) )
= $true )
| ( ( less_eq @ SV547 @ SV565 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2054]) ).
thf(2248,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2055]) ).
thf(2249,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ~ ( SV221 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
| ( SV390 @ ( sK65_SY1166 @ SV390 @ SV221 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2056]) ).
thf(2250,plain,
! [SV480: a,SV222: set_a] :
( ( ( ~ ! [SY1207: a] :
( ~ ( member_a @ SY1207 @ SV222 )
| ~ ( less_eq @ SY1207 @ ( sK19_X2 @ SV480 @ SV222 ) )
| ( ( sK19_X2 @ SV480 @ SV222 )
= SY1207 ) )
| ~ ~ ( ~ ( less_eq @ ( sK19_X2 @ SV480 @ SV222 ) @ SV480 )
| ~ ( member_a @ ( sK19_X2 @ SV480 @ SV222 ) @ SV222 ) ) )
= $false )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2057]) ).
thf(2251,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2058]) ).
thf(2252,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2058]) ).
thf(2253,plain,
! [SV481: a,SV392: a] :
( ( ( ( SV392 = SV481 )
| ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) )
= $false )
| ( ( ~ ( ( SV392 != SV481 )
| ~ ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2059]) ).
thf(2254,plain,
! [SV225: a > set_a] :
( ( ( ~ ( mono_a_set_a @ less_eq @ SV225 ) )
= $false )
| ( ( mono_a_set_a @ less_eq @ SV225 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2060]) ).
thf(2255,plain,
! [SV225: a > set_a] :
( ( ( ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) )
= $false )
| ( ( mono_a_set_a @ less_eq @ SV225 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2060]) ).
thf(2256,plain,
! [SV225: a > set_a] :
( ( ( ~ ( less_eq @ ( sK62_SY1046 @ SV225 ) @ ( sK66_SY1234 @ SV225 ) )
| ( ord_less_eq_set_a @ ( SV225 @ ( sK62_SY1046 @ SV225 ) ) @ ( SV225 @ ( sK66_SY1234 @ SV225 ) ) ) )
= $false )
| ( ( ~ ( ~ ( mono_a_set_a @ less_eq @ SV225 )
| ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2061]) ).
thf(2257,plain,
! [SV226: set_set_a,SV393: set_set_a] :
( ( ( member_set_a @ ( sK10_X2 @ SV393 @ SV226 ) @ SV393 )
= $false )
| ( ( ord_le318720350_set_a @ SV226 @ SV393 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2063]) ).
thf(2258,plain,
! [SV482: a,SV227: set_a] :
( ( ( ~ ! [SY1208: a] :
( ~ ( member_a @ SY1208 @ SV227 )
| ~ ( less_eq @ ( sK20_X2 @ SV482 @ SV227 ) @ SY1208 )
| ( ( sK20_X2 @ SV482 @ SV227 )
= SY1208 ) )
| ~ ~ ( ~ ( less_eq @ SV482 @ ( sK20_X2 @ SV482 @ SV227 ) )
| ~ ( member_a @ ( sK20_X2 @ SV482 @ SV227 ) @ SV227 ) ) )
= $false )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2064]) ).
thf(2259,plain,
! [SV228: set_set_a,SV569: set_a] :
( ( ( ~ ( member_set_a @ SV569 @ SV228 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ~ ( ( SV228 != bot_bot_set_set_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2065]) ).
thf(2260,plain,
! [SV228: set_set_a] :
( ( ( ~ ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ~ ( ( SV228 != bot_bot_set_set_a ) ) )
= $false )
| ( ( SV228 = bot_bot_set_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2066]) ).
thf(2261,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ( SV394 = SV483 )
| ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) )
= $false )
| ( ( ~ ( ( SV394 != SV483 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2068]) ).
thf(2262,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV395 @ SV484 )
| ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 )
| ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2069]) ).
thf(2263,plain,
! [SV232: a > a > a] :
( ( ( ~ ( less_eq @ ( sK37_SY738 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( ~ ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) ) ) )
= $false )
| ( ( ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2070]) ).
thf(2264,plain,
! [SV233: set_a,SV438: a] :
( ( ( less_eq @ ( sK24_X2 @ SV438 @ SV233 ) @ SV438 )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV233 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2072]) ).
thf(2265,plain,
! [SV570: a,SV548: a,SV234: a] :
( ( ( ~ ( less_eq @ SV234 @ ( inf @ SV548 @ SV570 ) ) )
= $true )
| ( ( less_eq @ SV234 @ SV548 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2073]) ).
thf(2266,plain,
! [SV566: a,SV549: a,SV234: a] :
( ( ( ~ ( less_eq @ SV234 @ ( inf @ SV549 @ SV566 ) ) )
= $true )
| ( ( less_eq @ SV234 @ SV566 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2074]) ).
thf(2267,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2076]) ).
thf(2268,plain,
! [SV440: set_a,SV397: set_a,SV237: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2077]) ).
thf(2269,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2077]) ).
thf(2270,plain,
! [SV441: set_a,SV398: a,SV238: a] :
( ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV238 @ bot_bot_set_a )
!= ( insert_a @ SV398 @ SV441 ) )
| ~ ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2078]) ).
thf(2271,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV238 @ bot_bot_set_a )
!= ( insert_a @ SV398 @ SV441 ) )
| ~ ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2078]) ).
thf(2272,plain,
! [SV550: set_a,SV486: set_a] :
( ( ( SV486 = SV550 )
= $false )
| ( ( ord_less_eq_set_a @ SV486 @ SV550 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2079]) ).
thf(2273,plain,
! [SV551: set_a,SV487: set_a] :
( ( ( SV487 = SV551 )
= $false )
| ( ( ord_less_eq_set_a @ SV551 @ SV487 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2080]) ).
thf(2274,plain,
! [SV239: set_a,SV552: a] :
( ( ( ~ ( member_a @ ( sK12_A4 @ SV552 @ SV239 ) @ SV239 )
| ~ ~ ( less_eq @ SV552 @ ( sK12_A4 @ SV552 @ SV239 ) ) )
= $false )
| ( ( less_eq @ SV552 @ ( lattic247676691_fin_a @ inf @ SV239 ) )
= $true )
| ( ( SV239 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV239 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2081]) ).
thf(2275,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= $false )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
!= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2082]) ).
thf(2276,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) )
= $false )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
!= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2082]) ).
thf(2277,plain,
! [SV488: set_a,SV241: set_set_a] :
( ( ( ~ ! [SY1212: set_a] :
( ~ ( member_set_a @ SY1212 @ SV241 )
| ~ ( ord_less_eq_set_a @ SY1212 @ ( sK1_X2 @ SV488 @ SV241 ) )
| ( ( sK1_X2 @ SV488 @ SV241 )
= SY1212 ) )
| ~ ~ ( ~ ( member_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV241 )
| ~ ( ord_less_eq_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV488 ) ) )
= $false )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2083]) ).
thf(2278,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2084]) ).
thf(2279,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2084]) ).
thf(2280,plain,
! [SV243: set_a,SV401: set_a] :
( ( ( member_a @ ( sK9_X2 @ SV401 @ SV243 ) @ SV401 )
= $false )
| ( ( ord_less_eq_set_a @ SV243 @ SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2086]) ).
thf(2281,plain,
! [SV553: a,SV489: a] :
( ( ( less_eq @ SV489 @ SV553 )
= $false )
| ( ( ( min_a @ less_eq @ SV489 @ SV553 )
= SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2087]) ).
thf(2282,plain,
! [SV244: set_a,SV555: a] :
( ( ( ~ ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) ) )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2089]) ).
thf(2283,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $false )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2091]) ).
thf(2284,plain,
! [SV246: set_a,SV571: a] :
( ( ( ~ ( member_a @ SV571 @ SV246 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ~ ( ( SV246 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2092]) ).
thf(2285,plain,
! [SV246: set_a] :
( ( ( ~ ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ~ ( ( SV246 != bot_bot_set_a ) ) )
= $false )
| ( ( SV246 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2093]) ).
thf(2286,plain,
! [SV247: set_a] :
( ( ( ~ ( condit1001553558elow_a @ less_eq @ SV247 ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2094]) ).
thf(2287,plain,
! [SV247: set_a] :
( ( ( ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2094]) ).
thf(2288,plain,
! [SV572: a,SV247: set_a] :
( ( ( ~ ! [SY1238: a] :
( ~ ( member_a @ SY1238 @ SV247 )
| ( less_eq @ SV572 @ SY1238 ) ) )
= $true )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2095]) ).
thf(2289,plain,
! [SV248: a > $o,SV403: a > $o] :
( ( ( SV403 @ ( sK6_X2 @ SV403 @ SV248 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV248 ) @ ( collect_a @ SV403 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2097]) ).
thf(2290,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ( ord_less_eq_set_a @ SV404 @ SV492 )
| ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 )
| ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2098]) ).
thf(2291,plain,
! [SV250: set_a] :
( ( ( ! [SY1089: a] :
( ~ ( member_a @ SY1089 @ SV250 )
| ~ ( less_eq @ ( sK13_X2 @ SV250 ) @ SY1089 )
| ( ( sK13_X2 @ SV250 )
= SY1089 ) ) )
= $true )
| ( ( SV250 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV250 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2099]) ).
thf(2292,plain,
! [SV250: set_a] :
( ( ( member_a @ ( sK13_X2 @ SV250 ) @ SV250 )
= $true )
| ( ( SV250 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV250 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2100]) ).
thf(2293,plain,
! [SV279: set_a > $o,SV35: set_a] :
( ( ( ~ ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) ) )
= $false )
| ( ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2294,plain,
! [SV35: set_a,SV279: set_a > $o] :
( ( ( ~ ( SV279 @ SV35 ) )
= $false )
| ( ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2295,plain,
! [SV279: set_a > $o,SV35: set_a] :
( ( ( ~ ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) ) )
= $false )
| ( ( SV279 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2102]) ).
thf(2296,plain,
! [SV35: set_a,SV279: set_a > $o] :
( ( ( ~ ( SV279 @ SV35 ) )
= $false )
| ( ( SV279 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2102]) ).
thf(2297,plain,
! [SV280: a > $o,SV36: a] :
( ( ( ~ ( member_a @ SV36 @ ( collect_a @ SV280 ) ) )
= $false )
| ( ( member_a @ SV36 @ ( collect_a @ SV280 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2103]) ).
thf(2298,plain,
! [SV36: a,SV280: a > $o] :
( ( ( ~ ( SV280 @ SV36 ) )
= $false )
| ( ( member_a @ SV36 @ ( collect_a @ SV280 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2103]) ).
thf(2299,plain,
! [SV280: a > $o,SV36: a] :
( ( ( ~ ( member_a @ SV36 @ ( collect_a @ SV280 ) ) )
= $false )
| ( ( SV280 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2104]) ).
thf(2300,plain,
! [SV36: a,SV280: a > $o] :
( ( ( ~ ( SV280 @ SV36 ) )
= $false )
| ( ( SV280 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2104]) ).
thf(2301,plain,
! [SV281: a > $o,SV39: a > $o] :
( ( ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) )
= $true )
| ( ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) )
= $true )
| ( ( ( collect_a @ SV39 )
= ( collect_a @ SV281 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2105]) ).
thf(2302,plain,
! [SV281: a > $o,SV39: a > $o] :
( ( ( ~ ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) ) )
= $true )
| ( ( ~ ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) ) )
= $true )
| ( ( ( collect_a @ SV39 )
= ( collect_a @ SV281 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2106]) ).
thf(2303,plain,
! [SV40: a,SV282: a] :
( ( ( less_eq @ SV282 @ SV40 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV282 @ SV40 )
| ( SV282 != SV40 ) ) )
= $true )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2107]) ).
thf(2304,plain,
! [SV40: a,SV282: a] :
( ( ( SV282 = SV40 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV282 @ SV40 )
| ( SV282 != SV40 ) ) )
= $true )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2107]) ).
thf(2305,plain,
! [SV294: a,SV52: a] :
( ( ( ~ ( less_eq @ SV52 @ SV294 ) )
= $false )
| ( ( less_eq @ SV52 @ SV294 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2114]) ).
thf(2306,plain,
! [SV294: a,SV52: a] :
( ( ( ( ( inf @ SV52 @ SV294 )
!= SV52 ) )
= $false )
| ( ( less_eq @ SV52 @ SV294 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2114]) ).
thf(2307,plain,
! [SV294: a,SV52: a] :
( ( ( ~ ( less_eq @ SV52 @ SV294 ) )
= $false )
| ( ( ( inf @ SV52 @ SV294 )
= SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2115]) ).
thf(2308,plain,
! [SV294: a,SV52: a] :
( ( ( ( ( inf @ SV52 @ SV294 )
!= SV52 ) )
= $false )
| ( ( ( inf @ SV52 @ SV294 )
= SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2115]) ).
thf(2309,plain,
! [SV295: a,SV53: a,SV556: a,SV503: a] :
( ( ( less_eq @ SV503 @ SV556 )
= $false )
| ( ( less_eq @ ( inf @ SV53 @ SV503 ) @ ( inf @ SV295 @ SV556 ) )
= $true )
| ( ( less_eq @ SV53 @ SV295 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2116]) ).
thf(2310,plain,
! [SV301: a,SV59: a] :
( ( ( ~ ( less_eq @ SV59 @ SV301 ) )
= $false )
| ( ( less_eq @ SV59 @ SV301 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2118]) ).
thf(2311,plain,
! [SV301: a,SV59: a] :
( ( ( ( SV59
!= ( inf @ SV59 @ SV301 ) ) )
= $false )
| ( ( less_eq @ SV59 @ SV301 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2118]) ).
thf(2312,plain,
! [SV301: a,SV59: a] :
( ( ( ~ ( less_eq @ SV59 @ SV301 ) )
= $false )
| ( ( SV59
= ( inf @ SV59 @ SV301 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2119]) ).
thf(2313,plain,
! [SV301: a,SV59: a] :
( ( ( ( SV59
!= ( inf @ SV59 @ SV301 ) ) )
= $false )
| ( ( SV59
= ( inf @ SV59 @ SV301 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2119]) ).
thf(2314,plain,
! [SV309: a,SV67: a] :
( ( ( ~ ( less_eq @ SV67 @ SV309 ) )
= $false )
| ( ( less_eq @ SV67 @ SV309 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2121]) ).
thf(2315,plain,
! [SV67: a,SV309: a] :
( ( ( ( ( inf @ SV309 @ SV67 )
!= SV67 ) )
= $false )
| ( ( less_eq @ SV67 @ SV309 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2121]) ).
thf(2316,plain,
! [SV309: a,SV67: a] :
( ( ( ~ ( less_eq @ SV67 @ SV309 ) )
= $false )
| ( ( ( inf @ SV309 @ SV67 )
= SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2122]) ).
thf(2317,plain,
! [SV67: a,SV309: a] :
( ( ( ( ( inf @ SV309 @ SV67 )
!= SV67 ) )
= $false )
| ( ( ( inf @ SV309 @ SV67 )
= SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2122]) ).
thf(2318,plain,
! [SV310: a,SV68: a] :
( ( ( ~ ( less_eq @ SV68 @ SV310 ) )
= $false )
| ( ( less_eq @ SV68 @ SV310 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2123]) ).
thf(2319,plain,
! [SV310: a,SV68: a] :
( ( ( ( ( inf @ SV68 @ SV310 )
!= SV68 ) )
= $false )
| ( ( less_eq @ SV68 @ SV310 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2123]) ).
thf(2320,plain,
! [SV310: a,SV68: a] :
( ( ( ~ ( less_eq @ SV68 @ SV310 ) )
= $false )
| ( ( ( inf @ SV68 @ SV310 )
= SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2124]) ).
thf(2321,plain,
! [SV310: a,SV68: a] :
( ( ( ( ( inf @ SV68 @ SV310 )
!= SV68 ) )
= $false )
| ( ( ( inf @ SV68 @ SV310 )
= SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2124]) ).
thf(2322,plain,
! [SV313: a,SV71: a,SV557: a,SV508: a] :
( ( ( less_eq @ SV508 @ SV557 )
= $false )
| ( ( less_eq @ ( sup @ SV71 @ SV508 ) @ ( sup @ SV313 @ SV557 ) )
= $true )
| ( ( less_eq @ SV71 @ SV313 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2125]) ).
thf(2323,plain,
! [SV319: a,SV77: a] :
( ( ( ~ ( less_eq @ SV77 @ SV319 ) )
= $false )
| ( ( less_eq @ SV77 @ SV319 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2127]) ).
thf(2324,plain,
! [SV77: a,SV319: a] :
( ( ( ( SV319
!= ( sup @ SV319 @ SV77 ) ) )
= $false )
| ( ( less_eq @ SV77 @ SV319 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2127]) ).
thf(2325,plain,
! [SV319: a,SV77: a] :
( ( ( ~ ( less_eq @ SV77 @ SV319 ) )
= $false )
| ( ( SV319
= ( sup @ SV319 @ SV77 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2128]) ).
thf(2326,plain,
! [SV77: a,SV319: a] :
( ( ( ( SV319
!= ( sup @ SV319 @ SV77 ) ) )
= $false )
| ( ( SV319
= ( sup @ SV319 @ SV77 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2128]) ).
thf(2327,plain,
! [SV322: a,SV80: a,SV558: a,SV510: a] :
( ( ( less_eq @ SV510 @ SV558 )
= $false )
| ( ( less_eq @ ( sup @ SV80 @ SV510 ) @ ( sup @ SV322 @ SV558 ) )
= $true )
| ( ( less_eq @ SV80 @ SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2129]) ).
thf(2328,plain,
! [SV328: a,SV86: a] :
( ( ( ~ ( less_eq @ SV86 @ SV328 ) )
= $false )
| ( ( less_eq @ SV86 @ SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2131]) ).
thf(2329,plain,
! [SV328: a,SV86: a] :
( ( ( ( ( sup @ SV86 @ SV328 )
!= SV328 ) )
= $false )
| ( ( less_eq @ SV86 @ SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2131]) ).
thf(2330,plain,
! [SV328: a,SV86: a] :
( ( ( ~ ( less_eq @ SV86 @ SV328 ) )
= $false )
| ( ( ( sup @ SV86 @ SV328 )
= SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2331,plain,
! [SV328: a,SV86: a] :
( ( ( ( ( sup @ SV86 @ SV328 )
!= SV328 ) )
= $false )
| ( ( ( sup @ SV86 @ SV328 )
= SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2332,plain,
! [SV329: a,SV87: a] :
( ( ( ~ ( less_eq @ SV87 @ SV329 ) )
= $false )
| ( ( less_eq @ SV87 @ SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2133]) ).
thf(2333,plain,
! [SV87: a,SV329: a] :
( ( ( ( ( sup @ SV329 @ SV87 )
!= SV329 ) )
= $false )
| ( ( less_eq @ SV87 @ SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2133]) ).
thf(2334,plain,
! [SV329: a,SV87: a] :
( ( ( ~ ( less_eq @ SV87 @ SV329 ) )
= $false )
| ( ( ( sup @ SV329 @ SV87 )
= SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2134]) ).
thf(2335,plain,
! [SV87: a,SV329: a] :
( ( ( ( ( sup @ SV329 @ SV87 )
!= SV329 ) )
= $false )
| ( ( ( sup @ SV329 @ SV87 )
= SV329 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2134]) ).
thf(2336,plain,
! [SV335: a,SV93: a] :
( ( ( ~ ( less_eq @ SV93 @ SV335 ) )
= $false )
| ( ( less_eq @ SV93 @ SV335 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2136]) ).
thf(2337,plain,
! [SV335: a,SV93: a] :
( ( ( ( ( sup @ SV93 @ SV335 )
!= SV335 ) )
= $false )
| ( ( less_eq @ SV93 @ SV335 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2136]) ).
thf(2338,plain,
! [SV335: a,SV93: a] :
( ( ( ~ ( less_eq @ SV93 @ SV335 ) )
= $false )
| ( ( ( sup @ SV93 @ SV335 )
= SV335 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2137]) ).
thf(2339,plain,
! [SV335: a,SV93: a] :
( ( ( ( ( sup @ SV93 @ SV335 )
!= SV335 ) )
= $false )
| ( ( ( sup @ SV93 @ SV335 )
= SV335 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2137]) ).
thf(2340,plain,
! [SV336: a > a > a] :
( ( ( ~ ( lattic1885654924_set_a @ SV336 ) )
= $false )
| ( ( lattic1885654924_set_a @ SV336 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2138]) ).
thf(2341,plain,
! [SV336: a > a > a] :
( ( ( ~ ( semilattice_a @ SV336 ) )
= $false )
| ( ( lattic1885654924_set_a @ SV336 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2138]) ).
thf(2342,plain,
! [SV336: a > a > a] :
( ( ( ~ ( lattic1885654924_set_a @ SV336 ) )
= $false )
| ( ( semilattice_a @ SV336 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2139]) ).
thf(2343,plain,
! [SV336: a > a > a] :
( ( ( ~ ( semilattice_a @ SV336 ) )
= $false )
| ( ( semilattice_a @ SV336 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2139]) ).
thf(2344,plain,
! [SV339: a > a > a] :
( ( ( ~ ( semigroup_a @ SV339 ) )
= $false )
| ( ( semigroup_a @ SV339 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2140]) ).
thf(2345,plain,
! [SV339: a > a > a] :
( ( ( ~ ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) )
= $false )
| ( ( semigroup_a @ SV339 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2140]) ).
thf(2346,plain,
! [SV339: a > a > a] :
( ( ( ! [SY1239: a] :
( ( SV339 @ ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( sK67_SY1235 @ SV339 ) ) @ SY1239 )
= ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( SV339 @ ( sK67_SY1235 @ SV339 ) @ SY1239 ) ) ) )
= $false )
| ( ( ~ ( ~ ( semigroup_a @ SV339 )
| ~ ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2141]) ).
thf(2347,plain,
! [SV526: a,SV128: set_a,SV573: a] :
( ( ( ~ ( member_a @ SV573 @ SV128 )
| ( less_eq @ SV526 @ SV573 ) )
= $true )
| ( ( less_eq @ SV526 @ ( lattic247676691_fin_a @ inf @ SV128 ) )
= $false )
| ( ( SV128 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV128 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2150]) ).
thf(2348,plain,
! [SV527: a,SV129: set_a,SV574: a] :
( ( ( ~ ( member_a @ SV574 @ SV129 )
| ( less_eq @ SV574 @ SV527 ) )
= $true )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV129 ) @ SV527 )
= $false )
| ( ( SV129 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV129 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2151]) ).
thf(2349,plain,
! [SV132: set_a] :
( ( ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
= $true )
| ( ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2152]) ).
thf(2350,plain,
! [SV132: set_a] :
( ( ( SV132 = bot_bot_set_a )
= $true )
| ( ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2153]) ).
thf(2351,plain,
! [SV132: set_a] :
( ( ( ord_less_eq_set_a @ SV132 @ bot_bot_set_a )
= $true )
| ( ( SV132 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2154]) ).
thf(2352,plain,
! [SV132: set_a] :
( ( ( SV132 = bot_bot_set_a )
= $true )
| ( ( SV132 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2155]) ).
thf(2353,plain,
! [SV133: a > $o] :
( ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
= $true )
| ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2156]) ).
thf(2354,plain,
! [SV133: a > $o] :
( ( ( ! [SY924: a] :
~ ( SV133 @ SY924 ) )
= $true )
| ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2157]) ).
thf(2355,plain,
! [SV133: a > $o] :
( ( ( ( bot_bot_set_a
!= ( collect_a @ SV133 ) )
| ~ ! [SY924: a] :
~ ( SV133 @ SY924 ) )
= $false )
| ( ( SV133 @ ( sK57_SY924 @ SV133 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2158]) ).
thf(2356,plain,
! [SV134: a > $o] :
( ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
= $true )
| ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2159]) ).
thf(2357,plain,
! [SV134: a > $o] :
( ( ( ! [SY925: a] :
~ ( SV134 @ SY925 ) )
= $true )
| ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2160]) ).
thf(2358,plain,
! [SV134: a > $o] :
( ( ( ( ( collect_a @ SV134 )
!= bot_bot_set_a )
| ~ ! [SY925: a] :
~ ( SV134 @ SY925 ) )
= $false )
| ( ( SV134 @ ( sK58_SY925 @ SV134 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2161]) ).
thf(2359,plain,
! [SV135: set_set_a] :
( ( ( ~ ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 )
| ( SV135 != bot_bot_set_set_a ) )
= $false )
| ( ( member_set_a @ ( sK59_SY926 @ SV135 ) @ SV135 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2162]) ).
thf(2360,plain,
! [SV135: set_set_a] :
( ( ( ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 ) )
= $true )
| ( ( SV135 = bot_bot_set_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2163]) ).
thf(2361,plain,
! [SV135: set_set_a] :
( ( ( SV135 = bot_bot_set_set_a )
= $true )
| ( ( SV135 = bot_bot_set_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2164]) ).
thf(2362,plain,
! [SV136: set_a] :
( ( ( ~ ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 )
| ( SV136 != bot_bot_set_a ) )
= $false )
| ( ( member_a @ ( sK60_SY927 @ SV136 ) @ SV136 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2165]) ).
thf(2363,plain,
! [SV136: set_a] :
( ( ( ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 ) )
= $true )
| ( ( SV136 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2166]) ).
thf(2364,plain,
! [SV136: set_a] :
( ( ( SV136 = bot_bot_set_a )
= $true )
| ( ( SV136 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2167]) ).
thf(2365,plain,
! [SV343: a,SV141: a] :
( ( ( ~ ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) ) )
= $false )
| ( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2168]) ).
thf(2366,plain,
! [SV141: a,SV343: a] :
( ( ( ~ ( less_eq @ SV343 @ SV141 ) )
= $false )
| ( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2168]) ).
thf(2367,plain,
! [SV343: a,SV141: a] :
( ( ( ~ ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) ) )
= $false )
| ( ( less_eq @ SV343 @ SV141 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2169]) ).
thf(2368,plain,
! [SV141: a,SV343: a] :
( ( ( ~ ( less_eq @ SV343 @ SV141 ) )
= $false )
| ( ( less_eq @ SV343 @ SV141 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2169]) ).
thf(2369,plain,
! [SV344: a,SV142: a] :
( ( ( ~ ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) ) )
= $false )
| ( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2170]) ).
thf(2370,plain,
! [SV344: a,SV142: a] :
( ( ( ~ ( less_eq @ SV142 @ SV344 ) )
= $false )
| ( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2170]) ).
thf(2371,plain,
! [SV344: a,SV142: a] :
( ( ( ~ ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) ) )
= $false )
| ( ( less_eq @ SV142 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2171]) ).
thf(2372,plain,
! [SV344: a,SV142: a] :
( ( ( ~ ( less_eq @ SV142 @ SV344 ) )
= $false )
| ( ( less_eq @ SV142 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2171]) ).
thf(2373,plain,
! [SV352: set_a,SV165: a] :
( ( ( ~ ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2177]) ).
thf(2374,plain,
! [SV165: a,SV352: set_a] :
( ( ( ~ ( condit1627435690bove_a @ less_eq @ SV352 ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2177]) ).
thf(2375,plain,
! [SV352: set_a,SV165: a] :
( ( ( ~ ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV352 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2178]) ).
thf(2376,plain,
! [SV352: set_a] :
( ( ( ~ ( condit1627435690bove_a @ less_eq @ SV352 ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV352 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2178]) ).
thf(2377,plain,
! [SV353: set_a,SV166: a] :
( ( ( ~ ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2179]) ).
thf(2378,plain,
! [SV166: a,SV353: set_a] :
( ( ( ~ ( condit1001553558elow_a @ less_eq @ SV353 ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2179]) ).
thf(2379,plain,
! [SV353: set_a,SV166: a] :
( ( ( ~ ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV353 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2180]) ).
thf(2380,plain,
! [SV353: set_a] :
( ( ( ~ ( condit1001553558elow_a @ less_eq @ SV353 ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV353 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2180]) ).
thf(2381,plain,
! [SV355: a,SV172: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2181]) ).
thf(2382,plain,
! [SV355: a,SV172: set_a] :
( ( ( ~ ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2181]) ).
thf(2383,plain,
! [SV355: a,SV172: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
| ~ ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( SV172 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2182]) ).
thf(2384,plain,
! [SV355: a,SV172: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
| ~ ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2183]) ).
thf(2385,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( ~ ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) ) )
= $false )
| ( ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2184]) ).
thf(2386,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( ( SV175 != SV358 ) )
= $false )
| ( ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2184]) ).
thf(2387,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( ~ ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) ) )
= $false )
| ( ( SV175 = SV358 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2185]) ).
thf(2388,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( ( SV175 != SV358 ) )
= $false )
| ( ( SV175 = SV358 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2185]) ).
thf(2389,plain,
! [SV359: a,SV176: a] :
( ( ( ~ ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) ) )
= $false )
| ( ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2186]) ).
thf(2390,plain,
! [SV359: a,SV176: a] :
( ( ( ( SV176 != SV359 ) )
= $false )
| ( ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2186]) ).
thf(2391,plain,
! [SV359: a,SV176: a] :
( ( ( ~ ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) ) )
= $false )
| ( ( SV176 = SV359 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2187]) ).
thf(2392,plain,
! [SV359: a,SV176: a] :
( ( ( ( SV176 != SV359 ) )
= $false )
| ( ( SV176 = SV359 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2187]) ).
thf(2393,plain,
! [SV470: set_set_a,SV181: set_a,SV364: set_set_a] :
( ( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
| ~ ( ord_le318720350_set_a @ SV364 @ SV470 ) ) )
= $true )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2188]) ).
thf(2394,plain,
! [SV181: set_a,SV470: set_set_a,SV364: set_set_a] :
( ( ( ord_le318720350_set_a @ SV364 @ SV470 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
| ~ ( ord_le318720350_set_a @ SV364 @ SV470 ) ) )
= $true )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2188]) ).
thf(2395,plain,
! [SV471: set_a,SV182: a,SV365: set_a] :
( ( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
| ~ ( ord_less_eq_set_a @ SV365 @ SV471 ) ) )
= $true )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2189]) ).
thf(2396,plain,
! [SV182: a,SV471: set_a,SV365: set_a] :
( ( ( ord_less_eq_set_a @ SV365 @ SV471 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
| ~ ( ord_less_eq_set_a @ SV365 @ SV471 ) ) )
= $true )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2189]) ).
thf(2397,plain,
! [SV368: set_set_a,SV185: set_a] :
( ( ( ~ ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) ) )
= $false )
| ( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2190]) ).
thf(2398,plain,
! [SV185: set_a,SV368: set_set_a] :
( ( ( ~ ( finite_finite_set_a @ SV368 ) )
= $false )
| ( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2190]) ).
thf(2399,plain,
! [SV368: set_set_a,SV185: set_a] :
( ( ( ~ ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) ) )
= $false )
| ( ( finite_finite_set_a @ SV368 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2191]) ).
thf(2400,plain,
! [SV368: set_set_a] :
( ( ( ~ ( finite_finite_set_a @ SV368 ) )
= $false )
| ( ( finite_finite_set_a @ SV368 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2191]) ).
thf(2401,plain,
! [SV369: set_a,SV186: a] :
( ( ( ~ ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) ) )
= $false )
| ( ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2192]) ).
thf(2402,plain,
! [SV186: a,SV369: set_a] :
( ( ( ~ ( finite_finite_a @ SV369 ) )
= $false )
| ( ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2192]) ).
thf(2403,plain,
! [SV369: set_a,SV186: a] :
( ( ( ~ ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) ) )
= $false )
| ( ( finite_finite_a @ SV369 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2193]) ).
thf(2404,plain,
! [SV369: set_a] :
( ( ( ~ ( finite_finite_a @ SV369 ) )
= $false )
| ( ( finite_finite_a @ SV369 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2193]) ).
thf(2405,plain,
! [SV370: a,SV187: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
!= bot_bot_set_a ) )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2194]) ).
thf(2406,plain,
! [SV370: a,SV187: a] :
( ( ( ~ ~ ( less_eq @ SV187 @ SV370 ) )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2194]) ).
thf(2407,plain,
! [SV370: a,SV187: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
!= bot_bot_set_a )
| ~ ~ ( less_eq @ SV187 @ SV370 ) )
= $false )
| ( ( less_eq @ SV187 @ SV370 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2195]) ).
thf(2408,plain,
! [SV371: a,SV188: a] :
( ( ( ( bot_bot_set_a
!= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) ) )
= $false )
| ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2196]) ).
thf(2409,plain,
! [SV371: a,SV188: a] :
( ( ( ~ ~ ( less_eq @ SV188 @ SV371 ) )
= $false )
| ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2196]) ).
thf(2410,plain,
! [SV371: a,SV188: a] :
( ( ( ( bot_bot_set_a
!= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
| ~ ~ ( less_eq @ SV188 @ SV371 ) )
= $false )
| ( ( less_eq @ SV188 @ SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2197]) ).
thf(2411,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2198]) ).
thf(2412,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( less_eq @ SV192 @ SV374 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2199]) ).
thf(2413,plain,
! [SV374: a,SV192: a,SV419: a] :
( ( ( less_eq @ SV419 @ SV192 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2199]) ).
thf(2414,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2200]) ).
thf(2415,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( less_eq @ SV193 @ SV375 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2201]) ).
thf(2416,plain,
! [SV193: a,SV420: a,SV375: a] :
( ( ( less_eq @ SV375 @ SV420 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2201]) ).
thf(2417,plain,
! [SV538: a,SV195: set_a] :
( ( ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) ) )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2202]) ).
thf(2418,plain,
! [SV376: a,SV196: a > $o] :
( ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( ! [SY1147: a > $o] :
( ~ ( ~ ( SV196 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1148: a] :
( ~ ( SV196 @ SY1148 )
| ( less_eq @ SY1148 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) )
| ~ ~ ( SY1147 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) ) )
| ( SY1147 @ ( greatest_a @ less_eq @ SV196 ) ) ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2203]) ).
thf(2419,plain,
! [SV196: a > $o,SV376: a] :
( ( ( ~ ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 ) )
= $true )
| ( ( ! [SY1147: a > $o] :
( ~ ( ~ ( SV196 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1148: a] :
( ~ ( SV196 @ SY1148 )
| ( less_eq @ SY1148 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) )
| ~ ~ ( SY1147 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) ) )
| ( SY1147 @ ( greatest_a @ less_eq @ SV196 ) ) ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2204]) ).
thf(2420,plain,
! [SV197: set_a,SV539: a] :
( ( ( ~ ( member_a @ ( sK11_A4 @ SV539 @ SV197 ) @ SV197 ) )
= $false )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV197 ) @ SV539 )
= $true )
| ( ( SV197 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV197 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2205]) ).
thf(2421,plain,
! [SV197: set_a,SV539: a] :
( ( ( ~ ~ ( less_eq @ ( sK11_A4 @ SV539 @ SV197 ) @ SV539 ) )
= $false )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV197 ) @ SV539 )
= $true )
| ( ( SV197 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV197 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2205]) ).
thf(2422,plain,
! [SV198: set_a] :
( ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2206]) ).
thf(2423,plain,
! [SV198: set_a] :
( ( ( ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2207]) ).
thf(2424,plain,
! [SV567: a,SV198: set_a] :
( ( ( ! [SY1237: a] :
( ~ ( member_a @ SY1237 @ SV198 )
| ( less_eq @ SY1237 @ SV567 ) ) )
= $false )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2208]) ).
thf(2425,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2209]) ).
thf(2426,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2209]) ).
thf(2427,plain,
! [SV561: a,SV540: a,SV200: a] :
( ( ( less_eq @ ( sup @ SV200 @ SV540 ) @ SV561 )
= $false )
| ( ( less_eq @ SV200 @ SV561 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2210]) ).
thf(2428,plain,
! [SV562: a,SV541: a,SV200: a] :
( ( ( less_eq @ ( sup @ SV200 @ SV541 ) @ SV562 )
= $false )
| ( ( less_eq @ SV541 @ SV562 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2211]) ).
thf(2429,plain,
! [SV422: a,SV378: set_a,SV201: a] :
( ( ( ( ( insert_a @ SV201 @ SV378 )
!= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2212]) ).
thf(2430,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV201 @ SV378 )
!= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2213]) ).
thf(2431,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 )
| ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2214]) ).
thf(2432,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 )
| ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2214]) ).
thf(2433,plain,
! [SV424: set_set_a,SV380: set_set_a,SV203: set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2215]) ).
thf(2434,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2216]) ).
thf(2435,plain,
! [SV425: a,SV381: a,SV204: a] :
( ( ( ~ ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) )
= $false )
| ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2217]) ).
thf(2436,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2218]) ).
thf(2437,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 )
| ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2219]) ).
thf(2438,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 )
| ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2219]) ).
thf(2439,plain,
! [SV206: a > set_a] :
( ( ( antimono_a_set_a @ less_eq @ SV206 )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV206 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2220]) ).
thf(2440,plain,
! [SV206: a > set_a] :
( ( ( ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV206 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2221]) ).
thf(2441,plain,
! [SV206: a > set_a] :
( ( ( ~ ( less_eq @ ( sK61_SY1006 @ SV206 ) @ ( sK64_SY1233 @ SV206 ) ) )
= $false )
| ( ( ~ ( ~ ( antimono_a_set_a @ less_eq @ SV206 )
| ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2222]) ).
thf(2442,plain,
! [SV206: a > set_a] :
( ( ( ord_less_eq_set_a @ ( SV206 @ ( sK64_SY1233 @ SV206 ) ) @ ( SV206 @ ( sK61_SY1006 @ SV206 ) ) )
= $false )
| ( ( ~ ( ~ ( antimono_a_set_a @ less_eq @ SV206 )
| ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2222]) ).
thf(2443,plain,
! [SV383: a,SV207: a > $o] :
( ( ( SV207 @ ( sK26_Y2 @ SV383 @ SV207 ) )
= $true )
| ( ( ( least_a @ less_eq @ SV207 )
= SV383 )
= $true )
| ( ( SV207 @ SV383 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2223]) ).
thf(2444,plain,
! [SV207: a > $o,SV383: a] :
( ( ( ~ ( less_eq @ SV383 @ ( sK26_Y2 @ SV383 @ SV207 ) ) )
= $true )
| ( ( ( least_a @ less_eq @ SV207 )
= SV383 )
= $true )
| ( ( SV207 @ SV383 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2224]) ).
thf(2445,plain,
! [SV384: a,SV208: a > $o] :
( ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( ! [SY1158: a > $o] :
( ~ ( ~ ( SV208 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1159: a] :
( ~ ( SV208 @ SY1159 )
| ( less_eq @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) @ SY1159 ) )
| ~ ~ ( SY1158 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) ) ) )
| ( SY1158 @ ( least_a @ less_eq @ SV208 ) ) ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2225]) ).
thf(2446,plain,
! [SV208: a > $o,SV384: a] :
( ( ( ~ ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) ) )
= $true )
| ( ( ! [SY1158: a > $o] :
( ~ ( ~ ( SV208 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1159: a] :
( ~ ( SV208 @ SY1159 )
| ( less_eq @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) @ SY1159 ) )
| ~ ~ ( SY1158 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) ) ) )
| ( SY1158 @ ( least_a @ less_eq @ SV208 ) ) ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2226]) ).
thf(2447,plain,
! [SV476: a,SV385: a] :
( ( ( SV385 = SV476 )
= $false )
| ( ( ~ ( ( SV385 != SV476 )
| ~ ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2227]) ).
thf(2448,plain,
! [SV476: a,SV385: a] :
( ( ( ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) )
= $false )
| ( ( ~ ( ( SV385 != SV476 )
| ~ ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2227]) ).
thf(2449,plain,
! [SV428: a,SV386: a,SV210: a] :
( ( ( ~ ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) )
= $false )
| ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2228]) ).
thf(2450,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2229]) ).
thf(2451,plain,
! [SV387: a,SV211: a > $o] :
( ( ( SV211 @ ( sK33_Y2 @ SV387 @ SV211 ) )
= $true )
| ( ( ( greatest_a @ less_eq @ SV211 )
= SV387 )
= $true )
| ( ( SV211 @ SV387 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2230]) ).
thf(2452,plain,
! [SV211: a > $o,SV387: a] :
( ( ( ~ ( less_eq @ ( sK33_Y2 @ SV387 @ SV211 ) @ SV387 ) )
= $true )
| ( ( ( greatest_a @ less_eq @ SV211 )
= SV387 )
= $true )
| ( ( SV211 @ SV387 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2231]) ).
thf(2453,plain,
! [SV429: a,SV388: a,SV212: a] :
( ( ( ~ ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) )
= $false )
| ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2233]) ).
thf(2454,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2234]) ).
thf(2455,plain,
! [SV213: a > a > a] :
( ( ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK44_SY743 @ SV213 ) ) )
= $false )
| ( ( ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2235]) ).
thf(2456,plain,
! [SV213: a > a > a] :
( ( ( ~ ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) )
| ~ ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) ) ) )
= $false )
| ( ( ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2235]) ).
thf(2457,plain,
! [SV479: a,SV389: a] :
( ( ( SV389 = SV479 )
= $false )
| ( ( ~ ( ( SV389 != SV479 )
| ~ ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2237]) ).
thf(2458,plain,
! [SV479: a,SV389: a] :
( ( ( ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) )
= $false )
| ( ( ~ ( ( SV389 != SV479 )
| ~ ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2237]) ).
thf(2459,plain,
! [SV568: a,SV544: a,SV216: a] :
( ( ( less_eq @ SV216 @ ( inf @ SV544 @ SV568 ) )
= $false )
| ( ( less_eq @ SV216 @ SV544 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2238]) ).
thf(2460,plain,
! [SV563: a,SV545: a,SV216: a] :
( ( ( less_eq @ SV216 @ ( inf @ SV545 @ SV563 ) )
= $false )
| ( ( less_eq @ SV216 @ SV563 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2239]) ).
thf(2461,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ! [SY1187: a] :
( ~ ( SV217 @ SY1187 )
| ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SY1187 ) )
| ~ ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) ) )
= $false )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2240]) ).
thf(2462,plain,
! [SV217: a > $o,SV432: a] :
( ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2241]) ).
thf(2463,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ! [SY1188: a] :
( ~ ( SV218 @ SY1188 )
| ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SY1188 ) )
| ~ ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) ) )
= $false )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2242]) ).
thf(2464,plain,
! [SV218: a > $o,SV433: a] :
( ( ( ( sK32_Y2 @ SV433 @ SV218 )
= SV433 )
= $false )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2243]) ).
thf(2465,plain,
! [SV219: set_a,SV575: a] :
( ( ( ~ ( member_a @ SV575 @ SV219 )
| ~ ( less_eq @ SV575 @ ( sK14_X2 @ SV219 ) )
| ( ( sK14_X2 @ SV219 )
= SV575 ) )
= $true )
| ( ( SV219 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV219 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2244]) ).
thf(2466,plain,
! [SV564: a,SV546: a,SV220: a] :
( ( ( less_eq @ ( sup @ SV220 @ SV546 ) @ SV564 )
= $false )
| ( ( less_eq @ SV220 @ SV564 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2246]) ).
thf(2467,plain,
! [SV565: a,SV547: a,SV220: a] :
( ( ( less_eq @ ( sup @ SV220 @ SV547 ) @ SV565 )
= $false )
| ( ( less_eq @ SV547 @ SV565 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2247]) ).
thf(2468,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2248]) ).
thf(2469,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2248]) ).
thf(2470,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ~ ( SV221 @ ( sK65_SY1166 @ SV390 @ SV221 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2471,plain,
! [SV221: a > $o,SV390: a > $o] :
( ( ( SV390 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2472,plain,
! [SV480: a,SV222: set_a] :
( ( ( ~ ! [SY1207: a] :
( ~ ( member_a @ SY1207 @ SV222 )
| ~ ( less_eq @ SY1207 @ ( sK19_X2 @ SV480 @ SV222 ) )
| ( ( sK19_X2 @ SV480 @ SV222 )
= SY1207 ) ) )
= $false )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2250]) ).
thf(2473,plain,
! [SV222: set_a,SV480: a] :
( ( ( ~ ~ ( ~ ( less_eq @ ( sK19_X2 @ SV480 @ SV222 ) @ SV480 )
| ~ ( member_a @ ( sK19_X2 @ SV480 @ SV222 ) @ SV222 ) ) )
= $false )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2250]) ).
thf(2474,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) )
= $false )
| ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2251]) ).
thf(2475,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2252]) ).
thf(2476,plain,
! [SV481: a,SV392: a] :
( ( ( SV392 = SV481 )
= $false )
| ( ( ~ ( ( SV392 != SV481 )
| ~ ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2253]) ).
thf(2477,plain,
! [SV392: a,SV481: a] :
( ( ( ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) )
= $false )
| ( ( ~ ( ( SV392 != SV481 )
| ~ ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2253]) ).
thf(2478,plain,
! [SV225: a > set_a] :
( ( ( mono_a_set_a @ less_eq @ SV225 )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV225 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2254]) ).
thf(2479,plain,
! [SV225: a > set_a] :
( ( ( ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV225 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2255]) ).
thf(2480,plain,
! [SV225: a > set_a] :
( ( ( ~ ( less_eq @ ( sK62_SY1046 @ SV225 ) @ ( sK66_SY1234 @ SV225 ) ) )
= $false )
| ( ( ~ ( ~ ( mono_a_set_a @ less_eq @ SV225 )
| ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2256]) ).
thf(2481,plain,
! [SV225: a > set_a] :
( ( ( ord_less_eq_set_a @ ( SV225 @ ( sK62_SY1046 @ SV225 ) ) @ ( SV225 @ ( sK66_SY1234 @ SV225 ) ) )
= $false )
| ( ( ~ ( ~ ( mono_a_set_a @ less_eq @ SV225 )
| ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2256]) ).
thf(2482,plain,
! [SV482: a,SV227: set_a] :
( ( ( ~ ! [SY1208: a] :
( ~ ( member_a @ SY1208 @ SV227 )
| ~ ( less_eq @ ( sK20_X2 @ SV482 @ SV227 ) @ SY1208 )
| ( ( sK20_X2 @ SV482 @ SV227 )
= SY1208 ) ) )
= $false )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2258]) ).
thf(2483,plain,
! [SV227: set_a,SV482: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV482 @ ( sK20_X2 @ SV482 @ SV227 ) )
| ~ ( member_a @ ( sK20_X2 @ SV482 @ SV227 ) @ SV227 ) ) )
= $false )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2258]) ).
thf(2484,plain,
! [SV228: set_set_a,SV569: set_a] :
( ( ( member_set_a @ SV569 @ SV228 )
= $false )
| ( ( ~ ( ~ ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ~ ( ( SV228 != bot_bot_set_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2259]) ).
thf(2485,plain,
! [SV228: set_set_a] :
( ( ( ~ ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 ) )
= $false )
| ( ( SV228 = bot_bot_set_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2260]) ).
thf(2486,plain,
! [SV228: set_set_a] :
( ( ( ~ ( ( SV228 != bot_bot_set_set_a ) ) )
= $false )
| ( ( SV228 = bot_bot_set_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2260]) ).
thf(2487,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( SV394 = SV483 )
= $false )
| ( ( ~ ( ( SV394 != SV483 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2261]) ).
thf(2488,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) )
= $false )
| ( ( ~ ( ( SV394 != SV483 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2261]) ).
thf(2489,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 )
| ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2262]) ).
thf(2490,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 )
| ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2262]) ).
thf(2491,plain,
! [SV232: a > a > a] :
( ( ( ~ ( less_eq @ ( sK37_SY738 @ SV232 ) @ ( sK36_X2 @ SV232 ) ) )
= $false )
| ( ( ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2263]) ).
thf(2492,plain,
! [SV232: a > a > a] :
( ( ( ~ ~ ( ~ ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) ) ) )
= $false )
| ( ( ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2263]) ).
thf(2493,plain,
! [SV570: a,SV548: a,SV234: a] :
( ( ( less_eq @ SV234 @ ( inf @ SV548 @ SV570 ) )
= $false )
| ( ( less_eq @ SV234 @ SV548 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2265]) ).
thf(2494,plain,
! [SV566: a,SV549: a,SV234: a] :
( ( ( less_eq @ SV234 @ ( inf @ SV549 @ SV566 ) )
= $false )
| ( ( less_eq @ SV234 @ SV566 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2266]) ).
thf(2495,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2267]) ).
thf(2496,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2267]) ).
thf(2497,plain,
! [SV440: set_a,SV397: set_a,SV237: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2268]) ).
thf(2498,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2269]) ).
thf(2499,plain,
! [SV441: set_a,SV398: a,SV238: a] :
( ( ( ( ( insert_a @ SV238 @ bot_bot_set_a )
!= ( insert_a @ SV398 @ SV441 ) )
| ~ ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2270]) ).
thf(2500,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV238 @ bot_bot_set_a )
!= ( insert_a @ SV398 @ SV441 ) )
| ~ ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2271]) ).
thf(2501,plain,
! [SV239: set_a,SV552: a] :
( ( ( ~ ( member_a @ ( sK12_A4 @ SV552 @ SV239 ) @ SV239 ) )
= $false )
| ( ( less_eq @ SV552 @ ( lattic247676691_fin_a @ inf @ SV239 ) )
= $true )
| ( ( SV239 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV239 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2274]) ).
thf(2502,plain,
! [SV239: set_a,SV552: a] :
( ( ( ~ ~ ( less_eq @ SV552 @ ( sK12_A4 @ SV552 @ SV239 ) ) )
= $false )
| ( ( less_eq @ SV552 @ ( lattic247676691_fin_a @ inf @ SV239 ) )
= $true )
| ( ( SV239 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV239 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2274]) ).
thf(2503,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
!= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2275]) ).
thf(2504,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( SV240 != SV399 )
| ( SV399 != SV442 ) )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
!= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2276]) ).
thf(2505,plain,
! [SV488: set_a,SV241: set_set_a] :
( ( ( ~ ! [SY1212: set_a] :
( ~ ( member_set_a @ SY1212 @ SV241 )
| ~ ( ord_less_eq_set_a @ SY1212 @ ( sK1_X2 @ SV488 @ SV241 ) )
| ( ( sK1_X2 @ SV488 @ SV241 )
= SY1212 ) ) )
= $false )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2277]) ).
thf(2506,plain,
! [SV241: set_set_a,SV488: set_a] :
( ( ( ~ ~ ( ~ ( member_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV241 )
| ~ ( ord_less_eq_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV488 ) ) )
= $false )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2277]) ).
thf(2507,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) )
= $false )
| ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2278]) ).
thf(2508,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2279]) ).
thf(2509,plain,
! [SV244: set_a,SV555: a] :
( ( ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) ) )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2282]) ).
thf(2510,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2283]) ).
thf(2511,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $false )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2283]) ).
thf(2512,plain,
! [SV246: set_a,SV571: a] :
( ( ( member_a @ SV571 @ SV246 )
= $false )
| ( ( ~ ( ~ ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ~ ( ( SV246 != bot_bot_set_a ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2284]) ).
thf(2513,plain,
! [SV246: set_a] :
( ( ( ~ ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 ) )
= $false )
| ( ( SV246 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2285]) ).
thf(2514,plain,
! [SV246: set_a] :
( ( ( ~ ( ( SV246 != bot_bot_set_a ) ) )
= $false )
| ( ( SV246 = bot_bot_set_a )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2285]) ).
thf(2515,plain,
! [SV247: set_a] :
( ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2286]) ).
thf(2516,plain,
! [SV247: set_a] :
( ( ( ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2287]) ).
thf(2517,plain,
! [SV572: a,SV247: set_a] :
( ( ( ! [SY1238: a] :
( ~ ( member_a @ SY1238 @ SV247 )
| ( less_eq @ SV572 @ SY1238 ) ) )
= $false )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2288]) ).
thf(2518,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 )
| ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2290]) ).
thf(2519,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 )
| ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2290]) ).
thf(2520,plain,
! [SV250: set_a,SV576: a] :
( ( ( ~ ( member_a @ SV576 @ SV250 )
| ~ ( less_eq @ ( sK13_X2 @ SV250 ) @ SV576 )
| ( ( sK13_X2 @ SV250 )
= SV576 ) )
= $true )
| ( ( SV250 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV250 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2291]) ).
thf(2521,plain,
! [SV279: set_a > $o,SV35: set_a] :
( ( ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
= $true )
| ( ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2293]) ).
thf(2522,plain,
! [SV35: set_a,SV279: set_a > $o] :
( ( ( SV279 @ SV35 )
= $true )
| ( ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2294]) ).
thf(2523,plain,
! [SV279: set_a > $o,SV35: set_a] :
( ( ( member_set_a @ SV35 @ ( collect_set_a @ SV279 ) )
= $true )
| ( ( SV279 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2295]) ).
thf(2524,plain,
! [SV35: set_a,SV279: set_a > $o] :
( ( ( SV279 @ SV35 )
= $true )
| ( ( SV279 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2296]) ).
thf(2525,plain,
! [SV280: a > $o,SV36: a] :
( ( ( member_a @ SV36 @ ( collect_a @ SV280 ) )
= $true )
| ( ( member_a @ SV36 @ ( collect_a @ SV280 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2297]) ).
thf(2526,plain,
! [SV36: a,SV280: a > $o] :
( ( ( SV280 @ SV36 )
= $true )
| ( ( member_a @ SV36 @ ( collect_a @ SV280 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2298]) ).
thf(2527,plain,
! [SV280: a > $o,SV36: a] :
( ( ( member_a @ SV36 @ ( collect_a @ SV280 ) )
= $true )
| ( ( SV280 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2299]) ).
thf(2528,plain,
! [SV36: a,SV280: a > $o] :
( ( ( SV280 @ SV36 )
= $true )
| ( ( SV280 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2300]) ).
thf(2529,plain,
! [SV281: a > $o,SV39: a > $o] :
( ( ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) )
= $false )
| ( ( ~ ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) ) )
= $true )
| ( ( ( collect_a @ SV39 )
= ( collect_a @ SV281 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2530,plain,
! [SV40: a,SV282: a] :
( ( ( ~ ( less_eq @ SV282 @ SV40 )
| ( SV282 != SV40 ) )
= $false )
| ( ( less_eq @ SV282 @ SV40 )
= $false )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2303]) ).
thf(2531,plain,
! [SV40: a,SV282: a] :
( ( ( ~ ( less_eq @ SV282 @ SV40 )
| ( SV282 != SV40 ) )
= $false )
| ( ( SV282 = SV40 )
= $false )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2304]) ).
thf(2532,plain,
! [SV294: a,SV52: a] :
( ( ( less_eq @ SV52 @ SV294 )
= $true )
| ( ( less_eq @ SV52 @ SV294 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2305]) ).
thf(2533,plain,
! [SV294: a,SV52: a] :
( ( ( ( inf @ SV52 @ SV294 )
= SV52 )
= $true )
| ( ( less_eq @ SV52 @ SV294 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2306]) ).
thf(2534,plain,
! [SV294: a,SV52: a] :
( ( ( less_eq @ SV52 @ SV294 )
= $true )
| ( ( ( inf @ SV52 @ SV294 )
= SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2307]) ).
thf(2535,plain,
! [SV294: a,SV52: a] :
( ( ( ( inf @ SV52 @ SV294 )
= SV52 )
= $true )
| ( ( ( inf @ SV52 @ SV294 )
= SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2308]) ).
thf(2536,plain,
! [SV301: a,SV59: a] :
( ( ( less_eq @ SV59 @ SV301 )
= $true )
| ( ( less_eq @ SV59 @ SV301 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2310]) ).
thf(2537,plain,
! [SV301: a,SV59: a] :
( ( ( SV59
= ( inf @ SV59 @ SV301 ) )
= $true )
| ( ( less_eq @ SV59 @ SV301 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2311]) ).
thf(2538,plain,
! [SV301: a,SV59: a] :
( ( ( less_eq @ SV59 @ SV301 )
= $true )
| ( ( SV59
= ( inf @ SV59 @ SV301 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2312]) ).
thf(2539,plain,
! [SV301: a,SV59: a] :
( ( ( SV59
= ( inf @ SV59 @ SV301 ) )
= $true )
| ( ( SV59
= ( inf @ SV59 @ SV301 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2313]) ).
thf(2540,plain,
! [SV309: a,SV67: a] :
( ( ( less_eq @ SV67 @ SV309 )
= $true )
| ( ( less_eq @ SV67 @ SV309 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2314]) ).
thf(2541,plain,
! [SV67: a,SV309: a] :
( ( ( ( inf @ SV309 @ SV67 )
= SV67 )
= $true )
| ( ( less_eq @ SV67 @ SV309 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2315]) ).
thf(2542,plain,
! [SV309: a,SV67: a] :
( ( ( less_eq @ SV67 @ SV309 )
= $true )
| ( ( ( inf @ SV309 @ SV67 )
= SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2316]) ).
thf(2543,plain,
! [SV67: a,SV309: a] :
( ( ( ( inf @ SV309 @ SV67 )
= SV67 )
= $true )
| ( ( ( inf @ SV309 @ SV67 )
= SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2317]) ).
thf(2544,plain,
! [SV310: a,SV68: a] :
( ( ( less_eq @ SV68 @ SV310 )
= $true )
| ( ( less_eq @ SV68 @ SV310 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2318]) ).
thf(2545,plain,
! [SV310: a,SV68: a] :
( ( ( ( inf @ SV68 @ SV310 )
= SV68 )
= $true )
| ( ( less_eq @ SV68 @ SV310 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2319]) ).
thf(2546,plain,
! [SV310: a,SV68: a] :
( ( ( less_eq @ SV68 @ SV310 )
= $true )
| ( ( ( inf @ SV68 @ SV310 )
= SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2320]) ).
thf(2547,plain,
! [SV310: a,SV68: a] :
( ( ( ( inf @ SV68 @ SV310 )
= SV68 )
= $true )
| ( ( ( inf @ SV68 @ SV310 )
= SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2321]) ).
thf(2548,plain,
! [SV319: a,SV77: a] :
( ( ( less_eq @ SV77 @ SV319 )
= $true )
| ( ( less_eq @ SV77 @ SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2323]) ).
thf(2549,plain,
! [SV77: a,SV319: a] :
( ( ( SV319
= ( sup @ SV319 @ SV77 ) )
= $true )
| ( ( less_eq @ SV77 @ SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2324]) ).
thf(2550,plain,
! [SV319: a,SV77: a] :
( ( ( less_eq @ SV77 @ SV319 )
= $true )
| ( ( SV319
= ( sup @ SV319 @ SV77 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2325]) ).
thf(2551,plain,
! [SV77: a,SV319: a] :
( ( ( SV319
= ( sup @ SV319 @ SV77 ) )
= $true )
| ( ( SV319
= ( sup @ SV319 @ SV77 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2326]) ).
thf(2552,plain,
! [SV328: a,SV86: a] :
( ( ( less_eq @ SV86 @ SV328 )
= $true )
| ( ( less_eq @ SV86 @ SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2328]) ).
thf(2553,plain,
! [SV328: a,SV86: a] :
( ( ( ( sup @ SV86 @ SV328 )
= SV328 )
= $true )
| ( ( less_eq @ SV86 @ SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2329]) ).
thf(2554,plain,
! [SV328: a,SV86: a] :
( ( ( less_eq @ SV86 @ SV328 )
= $true )
| ( ( ( sup @ SV86 @ SV328 )
= SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2330]) ).
thf(2555,plain,
! [SV328: a,SV86: a] :
( ( ( ( sup @ SV86 @ SV328 )
= SV328 )
= $true )
| ( ( ( sup @ SV86 @ SV328 )
= SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2331]) ).
thf(2556,plain,
! [SV329: a,SV87: a] :
( ( ( less_eq @ SV87 @ SV329 )
= $true )
| ( ( less_eq @ SV87 @ SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2332]) ).
thf(2557,plain,
! [SV87: a,SV329: a] :
( ( ( ( sup @ SV329 @ SV87 )
= SV329 )
= $true )
| ( ( less_eq @ SV87 @ SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2333]) ).
thf(2558,plain,
! [SV329: a,SV87: a] :
( ( ( less_eq @ SV87 @ SV329 )
= $true )
| ( ( ( sup @ SV329 @ SV87 )
= SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2334]) ).
thf(2559,plain,
! [SV87: a,SV329: a] :
( ( ( ( sup @ SV329 @ SV87 )
= SV329 )
= $true )
| ( ( ( sup @ SV329 @ SV87 )
= SV329 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2335]) ).
thf(2560,plain,
! [SV335: a,SV93: a] :
( ( ( less_eq @ SV93 @ SV335 )
= $true )
| ( ( less_eq @ SV93 @ SV335 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2336]) ).
thf(2561,plain,
! [SV335: a,SV93: a] :
( ( ( ( sup @ SV93 @ SV335 )
= SV335 )
= $true )
| ( ( less_eq @ SV93 @ SV335 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2337]) ).
thf(2562,plain,
! [SV335: a,SV93: a] :
( ( ( less_eq @ SV93 @ SV335 )
= $true )
| ( ( ( sup @ SV93 @ SV335 )
= SV335 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2338]) ).
thf(2563,plain,
! [SV335: a,SV93: a] :
( ( ( ( sup @ SV93 @ SV335 )
= SV335 )
= $true )
| ( ( ( sup @ SV93 @ SV335 )
= SV335 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2339]) ).
thf(2564,plain,
! [SV336: a > a > a] :
( ( ( lattic1885654924_set_a @ SV336 )
= $true )
| ( ( lattic1885654924_set_a @ SV336 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2340]) ).
thf(2565,plain,
! [SV336: a > a > a] :
( ( ( semilattice_a @ SV336 )
= $true )
| ( ( lattic1885654924_set_a @ SV336 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2341]) ).
thf(2566,plain,
! [SV336: a > a > a] :
( ( ( lattic1885654924_set_a @ SV336 )
= $true )
| ( ( semilattice_a @ SV336 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2342]) ).
thf(2567,plain,
! [SV336: a > a > a] :
( ( ( semilattice_a @ SV336 )
= $true )
| ( ( semilattice_a @ SV336 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2343]) ).
thf(2568,plain,
! [SV339: a > a > a] :
( ( ( semigroup_a @ SV339 )
= $true )
| ( ( semigroup_a @ SV339 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2344]) ).
thf(2569,plain,
! [SV339: a > a > a] :
( ( ( ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) )
= $true )
| ( ( semigroup_a @ SV339 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2345]) ).
thf(2570,plain,
! [SV339: a > a > a] :
( ( ( ( SV339 @ ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( sK67_SY1235 @ SV339 ) ) @ ( sK68_SY1239 @ SV339 ) )
= ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( SV339 @ ( sK67_SY1235 @ SV339 ) @ ( sK68_SY1239 @ SV339 ) ) ) )
= $false )
| ( ( ~ ( ~ ( semigroup_a @ SV339 )
| ~ ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2346]) ).
thf(2571,plain,
! [SV526: a,SV128: set_a,SV573: a] :
( ( ( ~ ( member_a @ SV573 @ SV128 ) )
= $true )
| ( ( less_eq @ SV526 @ SV573 )
= $true )
| ( ( less_eq @ SV526 @ ( lattic247676691_fin_a @ inf @ SV128 ) )
= $false )
| ( ( SV128 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2347]) ).
thf(2572,plain,
! [SV527: a,SV129: set_a,SV574: a] :
( ( ( ~ ( member_a @ SV574 @ SV129 ) )
= $true )
| ( ( less_eq @ SV574 @ SV527 )
= $true )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV129 ) @ SV527 )
= $false )
| ( ( SV129 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2348]) ).
thf(2573,plain,
! [SV577: a,SV133: a > $o] :
( ( ( ~ ( SV133 @ SV577 ) )
= $true )
| ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2354]) ).
thf(2574,plain,
! [SV133: a > $o] :
( ( ( ( bot_bot_set_a
!= ( collect_a @ SV133 ) ) )
= $false )
| ( ( SV133 @ ( sK57_SY924 @ SV133 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2355]) ).
thf(2575,plain,
! [SV133: a > $o] :
( ( ( ~ ! [SY924: a] :
~ ( SV133 @ SY924 ) )
= $false )
| ( ( SV133 @ ( sK57_SY924 @ SV133 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2355]) ).
thf(2576,plain,
! [SV578: a,SV134: a > $o] :
( ( ( ~ ( SV134 @ SV578 ) )
= $true )
| ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2357]) ).
thf(2577,plain,
! [SV134: a > $o] :
( ( ( ( ( collect_a @ SV134 )
!= bot_bot_set_a ) )
= $false )
| ( ( SV134 @ ( sK58_SY925 @ SV134 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2358]) ).
thf(2578,plain,
! [SV134: a > $o] :
( ( ( ~ ! [SY925: a] :
~ ( SV134 @ SY925 ) )
= $false )
| ( ( SV134 @ ( sK58_SY925 @ SV134 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2358]) ).
thf(2579,plain,
! [SV135: set_set_a] :
( ( ( ~ ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 ) )
= $false )
| ( ( member_set_a @ ( sK59_SY926 @ SV135 ) @ SV135 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2359]) ).
thf(2580,plain,
! [SV135: set_set_a] :
( ( ( ( SV135 != bot_bot_set_set_a ) )
= $false )
| ( ( member_set_a @ ( sK59_SY926 @ SV135 ) @ SV135 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2359]) ).
thf(2581,plain,
! [SV135: set_set_a,SV579: set_a] :
( ( ( ~ ( member_set_a @ SV579 @ SV135 ) )
= $true )
| ( ( SV135 = bot_bot_set_set_a )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2360]) ).
thf(2582,plain,
! [SV136: set_a] :
( ( ( ~ ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 ) )
= $false )
| ( ( member_a @ ( sK60_SY927 @ SV136 ) @ SV136 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2362]) ).
thf(2583,plain,
! [SV136: set_a] :
( ( ( ( SV136 != bot_bot_set_a ) )
= $false )
| ( ( member_a @ ( sK60_SY927 @ SV136 ) @ SV136 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2362]) ).
thf(2584,plain,
! [SV136: set_a,SV580: a] :
( ( ( ~ ( member_a @ SV580 @ SV136 ) )
= $true )
| ( ( SV136 = bot_bot_set_a )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2363]) ).
thf(2585,plain,
! [SV343: a,SV141: a] :
( ( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
= $true )
| ( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2365]) ).
thf(2586,plain,
! [SV141: a,SV343: a] :
( ( ( less_eq @ SV343 @ SV141 )
= $true )
| ( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2366]) ).
thf(2587,plain,
! [SV343: a,SV141: a] :
( ( ( member_a @ SV141 @ ( set_atLeast_a @ less_eq @ SV343 ) )
= $true )
| ( ( less_eq @ SV343 @ SV141 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2367]) ).
thf(2588,plain,
! [SV141: a,SV343: a] :
( ( ( less_eq @ SV343 @ SV141 )
= $true )
| ( ( less_eq @ SV343 @ SV141 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2368]) ).
thf(2589,plain,
! [SV344: a,SV142: a] :
( ( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
= $true )
| ( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2369]) ).
thf(2590,plain,
! [SV344: a,SV142: a] :
( ( ( less_eq @ SV142 @ SV344 )
= $true )
| ( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2370]) ).
thf(2591,plain,
! [SV344: a,SV142: a] :
( ( ( member_a @ SV142 @ ( set_atMost_a @ less_eq @ SV344 ) )
= $true )
| ( ( less_eq @ SV142 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2371]) ).
thf(2592,plain,
! [SV344: a,SV142: a] :
( ( ( less_eq @ SV142 @ SV344 )
= $true )
| ( ( less_eq @ SV142 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2372]) ).
thf(2593,plain,
! [SV352: set_a,SV165: a] :
( ( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2373]) ).
thf(2594,plain,
! [SV165: a,SV352: set_a] :
( ( ( condit1627435690bove_a @ less_eq @ SV352 )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2374]) ).
thf(2595,plain,
! [SV352: set_a,SV165: a] :
( ( ( condit1627435690bove_a @ less_eq @ ( insert_a @ SV165 @ SV352 ) )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV352 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2375]) ).
thf(2596,plain,
! [SV352: set_a] :
( ( ( condit1627435690bove_a @ less_eq @ SV352 )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV352 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2376]) ).
thf(2597,plain,
! [SV353: set_a,SV166: a] :
( ( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2377]) ).
thf(2598,plain,
! [SV166: a,SV353: set_a] :
( ( ( condit1001553558elow_a @ less_eq @ SV353 )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2378]) ).
thf(2599,plain,
! [SV353: set_a,SV166: a] :
( ( ( condit1001553558elow_a @ less_eq @ ( insert_a @ SV166 @ SV353 ) )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV353 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2379]) ).
thf(2600,plain,
! [SV353: set_a] :
( ( ( condit1001553558elow_a @ less_eq @ SV353 )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV353 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2380]) ).
thf(2601,plain,
! [SV355: a,SV172: set_a] :
( ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
= $true )
| ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2381]) ).
thf(2602,plain,
! [SV355: a,SV172: set_a] :
( ( ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2382]) ).
thf(2603,plain,
! [SV355: a,SV172: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) ) )
= $false )
| ( ( SV172 = bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2383]) ).
thf(2604,plain,
! [SV355: a,SV172: set_a] :
( ( ( ~ ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( SV172 = bot_bot_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2383]) ).
thf(2605,plain,
! [SV355: a,SV172: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) ) )
= $false )
| ( ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2384]) ).
thf(2606,plain,
! [SV355: a,SV172: set_a] :
( ( ( ~ ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2384]) ).
thf(2607,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
= $true )
| ( ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2385]) ).
thf(2608,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( SV175 = SV358 )
= $true )
| ( ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2386]) ).
thf(2609,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( member_set_a @ SV175 @ ( insert_set_a @ SV358 @ bot_bot_set_set_a ) )
= $true )
| ( ( SV175 = SV358 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2387]) ).
thf(2610,plain,
! [SV358: set_a,SV175: set_a] :
( ( ( SV175 = SV358 )
= $true )
| ( ( SV175 = SV358 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2388]) ).
thf(2611,plain,
! [SV359: a,SV176: a] :
( ( ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
= $true )
| ( ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2389]) ).
thf(2612,plain,
! [SV359: a,SV176: a] :
( ( ( SV176 = SV359 )
= $true )
| ( ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2390]) ).
thf(2613,plain,
! [SV359: a,SV176: a] :
( ( ( member_a @ SV176 @ ( insert_a @ SV359 @ bot_bot_set_a ) )
= $true )
| ( ( SV176 = SV359 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2391]) ).
thf(2614,plain,
! [SV359: a,SV176: a] :
( ( ( SV176 = SV359 )
= $true )
| ( ( SV176 = SV359 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2392]) ).
thf(2615,plain,
! [SV470: set_set_a,SV181: set_a,SV364: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
| ~ ( ord_le318720350_set_a @ SV364 @ SV470 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
= $false )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2393]) ).
thf(2616,plain,
! [SV470: set_set_a,SV181: set_a,SV364: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
| ~ ( ord_le318720350_set_a @ SV364 @ SV470 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV364 @ SV470 )
= $false )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2394]) ).
thf(2617,plain,
! [SV471: set_a,SV182: a,SV365: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
| ~ ( ord_less_eq_set_a @ SV365 @ SV471 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
= $false )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2395]) ).
thf(2618,plain,
! [SV471: set_a,SV182: a,SV365: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
| ~ ( ord_less_eq_set_a @ SV365 @ SV471 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV365 @ SV471 )
= $false )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2396]) ).
thf(2619,plain,
! [SV368: set_set_a,SV185: set_a] :
( ( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
= $true )
| ( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2397]) ).
thf(2620,plain,
! [SV185: set_a,SV368: set_set_a] :
( ( ( finite_finite_set_a @ SV368 )
= $true )
| ( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2398]) ).
thf(2621,plain,
! [SV368: set_set_a,SV185: set_a] :
( ( ( finite_finite_set_a @ ( insert_set_a @ SV185 @ SV368 ) )
= $true )
| ( ( finite_finite_set_a @ SV368 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2399]) ).
thf(2622,plain,
! [SV368: set_set_a] :
( ( ( finite_finite_set_a @ SV368 )
= $true )
| ( ( finite_finite_set_a @ SV368 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2400]) ).
thf(2623,plain,
! [SV369: set_a,SV186: a] :
( ( ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
= $true )
| ( ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2401]) ).
thf(2624,plain,
! [SV186: a,SV369: set_a] :
( ( ( finite_finite_a @ SV369 )
= $true )
| ( ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2402]) ).
thf(2625,plain,
! [SV369: set_a,SV186: a] :
( ( ( finite_finite_a @ ( insert_a @ SV186 @ SV369 ) )
= $true )
| ( ( finite_finite_a @ SV369 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2403]) ).
thf(2626,plain,
! [SV369: set_a] :
( ( ( finite_finite_a @ SV369 )
= $true )
| ( ( finite_finite_a @ SV369 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2404]) ).
thf(2627,plain,
! [SV370: a,SV187: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2405]) ).
thf(2628,plain,
! [SV370: a,SV187: a] :
( ( ( ~ ( less_eq @ SV187 @ SV370 ) )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2406]) ).
thf(2629,plain,
! [SV370: a,SV187: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
!= bot_bot_set_a ) )
= $false )
| ( ( less_eq @ SV187 @ SV370 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2407]) ).
thf(2630,plain,
! [SV370: a,SV187: a] :
( ( ( ~ ~ ( less_eq @ SV187 @ SV370 ) )
= $false )
| ( ( less_eq @ SV187 @ SV370 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2407]) ).
thf(2631,plain,
! [SV371: a,SV188: a] :
( ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
= $true )
| ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2408]) ).
thf(2632,plain,
! [SV371: a,SV188: a] :
( ( ( ~ ( less_eq @ SV188 @ SV371 ) )
= $true )
| ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2409]) ).
thf(2633,plain,
! [SV371: a,SV188: a] :
( ( ( ( bot_bot_set_a
!= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) ) )
= $false )
| ( ( less_eq @ SV188 @ SV371 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2410]) ).
thf(2634,plain,
! [SV371: a,SV188: a] :
( ( ( ~ ~ ( less_eq @ SV188 @ SV371 ) )
= $false )
| ( ( less_eq @ SV188 @ SV371 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2410]) ).
thf(2635,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2411]) ).
thf(2636,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2411]) ).
thf(2637,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( less_eq @ SV192 @ SV374 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2412]) ).
thf(2638,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) )
= $false )
| ( ( less_eq @ SV419 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2413]) ).
thf(2639,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2414]) ).
thf(2640,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2414]) ).
thf(2641,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( less_eq @ SV193 @ SV375 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2415]) ).
thf(2642,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) )
= $false )
| ( ( less_eq @ SV375 @ SV420 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2416]) ).
thf(2643,plain,
! [SV538: a,SV195: set_a] :
( ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) ) )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2417]) ).
thf(2644,plain,
! [SV538: a,SV195: set_a] :
( ( ( ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) ) )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2417]) ).
thf(2645,plain,
! [SV376: a,SV581: a > $o,SV196: a > $o] :
( ( ( ~ ( ~ ( SV196 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1240: a] :
( ~ ( SV196 @ SY1240 )
| ( less_eq @ SY1240 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) )
| ~ ~ ( SV581 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) ) )
| ( SV581 @ ( greatest_a @ less_eq @ SV196 ) ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2418]) ).
thf(2646,plain,
! [SV196: a > $o,SV376: a] :
( ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( ! [SY1147: a > $o] :
( ~ ( ~ ( SV196 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1148: a] :
( ~ ( SV196 @ SY1148 )
| ( less_eq @ SY1148 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) )
| ~ ~ ( SY1147 @ ( sK34_X2 @ SY1147 @ SV376 @ SV196 ) ) ) )
| ( SY1147 @ ( greatest_a @ less_eq @ SV196 ) ) ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2419]) ).
thf(2647,plain,
! [SV197: set_a,SV539: a] :
( ( ( member_a @ ( sK11_A4 @ SV539 @ SV197 ) @ SV197 )
= $true )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV197 ) @ SV539 )
= $true )
| ( ( SV197 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV197 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2420]) ).
thf(2648,plain,
! [SV197: set_a,SV539: a] :
( ( ( ~ ( less_eq @ ( sK11_A4 @ SV539 @ SV197 ) @ SV539 ) )
= $true )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV197 ) @ SV539 )
= $true )
| ( ( SV197 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV197 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2421]) ).
thf(2649,plain,
! [SV198: set_a] :
( ( ( ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2423]) ).
thf(2650,plain,
! [SV198: set_a,SV567: a] :
( ( ( ~ ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 )
| ( less_eq @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV567 ) )
= $false )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2424]) ).
thf(2651,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2425]) ).
thf(2652,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( less_eq @ SV199 @ SV377 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2653,plain,
! [SV473: a,SV377: a,SV199: a,SV421: a] :
( ( ( ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2654,plain,
! [SV422: a,SV378: set_a,SV201: a] :
( ( ( ( ( insert_a @ SV201 @ SV378 )
!= ( insert_a @ SV422 @ bot_bot_set_a ) ) )
= $false )
| ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2429]) ).
thf(2655,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( ~ ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2429]) ).
thf(2656,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( ( SV201 != SV422 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV201 @ SV378 )
!= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2430]) ).
thf(2657,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 )
| ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2431]) ).
thf(2658,plain,
! [SV379: set_a,SV474: set_a] :
( ( ( ~ ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV379 )
| ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV474 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 )
| ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2432]) ).
thf(2659,plain,
! [SV424: set_set_a,SV380: set_set_a,SV203: set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 ) )
= $false )
| ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2433]) ).
thf(2660,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( ~ ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2433]) ).
thf(2661,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( ~ ( member_set_a @ SV203 @ SV424 ) )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2434]) ).
thf(2662,plain,
! [SV425: a,SV381: a,SV204: a] :
( ( ( ~ ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) ) )
= $false )
| ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2435]) ).
thf(2663,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) )
= $false )
| ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2435]) ).
thf(2664,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( ~ ( less_eq @ SV381 @ SV204 ) )
= $true )
| ( ( ~ ( less_eq @ SV204 @ SV425 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2436]) ).
thf(2665,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 )
| ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2437]) ).
thf(2666,plain,
! [SV382: set_set_a,SV475: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV382 )
| ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV475 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 )
| ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2438]) ).
thf(2667,plain,
! [SV206: a > set_a,SV582: a] :
( ( ( ! [SY1241: a] :
( ~ ( less_eq @ SV582 @ SY1241 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1241 ) @ ( SV206 @ SV582 ) ) ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV206 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2440]) ).
thf(2668,plain,
! [SV206: a > set_a] :
( ( ( less_eq @ ( sK61_SY1006 @ SV206 ) @ ( sK64_SY1233 @ SV206 ) )
= $true )
| ( ( ~ ( ~ ( antimono_a_set_a @ less_eq @ SV206 )
| ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2441]) ).
thf(2669,plain,
! [SV206: a > set_a] :
( ( ( ~ ( antimono_a_set_a @ less_eq @ SV206 )
| ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV206 @ ( sK64_SY1233 @ SV206 ) ) @ ( SV206 @ ( sK61_SY1006 @ SV206 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2442]) ).
thf(2670,plain,
! [SV207: a > $o,SV383: a] :
( ( ( less_eq @ SV383 @ ( sK26_Y2 @ SV383 @ SV207 ) )
= $false )
| ( ( ( least_a @ less_eq @ SV207 )
= SV383 )
= $true )
| ( ( SV207 @ SV383 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2444]) ).
thf(2671,plain,
! [SV384: a,SV583: a > $o,SV208: a > $o] :
( ( ( ~ ( ~ ( SV208 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1242: a] :
( ~ ( SV208 @ SY1242 )
| ( less_eq @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) @ SY1242 ) )
| ~ ~ ( SV583 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) ) ) )
| ( SV583 @ ( least_a @ less_eq @ SV208 ) ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2445]) ).
thf(2672,plain,
! [SV208: a > $o,SV384: a] :
( ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( ! [SY1158: a > $o] :
( ~ ( ~ ( SV208 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1159: a] :
( ~ ( SV208 @ SY1159 )
| ( less_eq @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) @ SY1159 ) )
| ~ ~ ( SY1158 @ ( sK27_X2 @ SY1158 @ SV384 @ SV208 ) ) ) )
| ( SY1158 @ ( least_a @ less_eq @ SV208 ) ) ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2446]) ).
thf(2673,plain,
! [SV476: a,SV385: a] :
( ( ( ( SV385 != SV476 )
| ~ ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) )
= $false )
| ( ( SV385 = SV476 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2447]) ).
thf(2674,plain,
! [SV476: a,SV385: a] :
( ( ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) )
= $true )
| ( ( ~ ( ( SV385 != SV476 )
| ~ ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2448]) ).
thf(2675,plain,
! [SV428: a,SV386: a,SV210: a] :
( ( ( ~ ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 ) )
= $false )
| ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2449]) ).
thf(2676,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) )
= $false )
| ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2449]) ).
thf(2677,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( ~ ( less_eq @ SV210 @ SV428 ) )
= $true )
| ( ( ~ ( less_eq @ SV386 @ SV428 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2450]) ).
thf(2678,plain,
! [SV211: a > $o,SV387: a] :
( ( ( less_eq @ ( sK33_Y2 @ SV387 @ SV211 ) @ SV387 )
= $false )
| ( ( ( greatest_a @ less_eq @ SV211 )
= SV387 )
= $true )
| ( ( SV211 @ SV387 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2452]) ).
thf(2679,plain,
! [SV429: a,SV388: a,SV212: a] :
( ( ( ~ ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 ) )
= $false )
| ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2453]) ).
thf(2680,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) )
= $false )
| ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2453]) ).
thf(2681,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( ~ ( less_eq @ SV212 @ SV429 ) )
= $true )
| ( ( ~ ( less_eq @ SV388 @ SV429 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2454]) ).
thf(2682,plain,
! [SV213: a > a > a] :
( ( ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK44_SY743 @ SV213 ) )
= $true )
| ( ( ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2455]) ).
thf(2683,plain,
! [SV213: a > a > a] :
( ( ( ~ ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) )
| ~ ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) ) ) )
= $true )
| ( ( ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2456]) ).
thf(2684,plain,
! [SV479: a,SV389: a] :
( ( ( ( SV389 != SV479 )
| ~ ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) )
= $false )
| ( ( SV389 = SV479 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2457]) ).
thf(2685,plain,
! [SV479: a,SV389: a] :
( ( ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) )
= $true )
| ( ( ~ ( ( SV389 != SV479 )
| ~ ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2458]) ).
thf(2686,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ! [SY1187: a] :
( ~ ( SV217 @ SY1187 )
| ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SY1187 ) ) )
= $false )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2461]) ).
thf(2687,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) ) )
= $false )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2461]) ).
thf(2688,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) ) )
= $true )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2462]) ).
thf(2689,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ! [SY1188: a] :
( ~ ( SV218 @ SY1188 )
| ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SY1188 ) ) )
= $false )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2463]) ).
thf(2690,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) ) )
= $false )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2463]) ).
thf(2691,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) ) )
= $true )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( ( sK32_Y2 @ SV433 @ SV218 )
= SV433 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2464]) ).
thf(2692,plain,
! [SV219: set_a,SV575: a] :
( ( ( ~ ( member_a @ SV575 @ SV219 ) )
= $true )
| ( ( ~ ( less_eq @ SV575 @ ( sK14_X2 @ SV219 ) )
| ( ( sK14_X2 @ SV219 )
= SV575 ) )
= $true )
| ( ( SV219 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV219 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2465]) ).
thf(2693,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2468]) ).
thf(2694,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2469]) ).
thf(2695,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( SV221 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2470]) ).
thf(2696,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) )
= $false )
| ( ( SV390 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2471]) ).
thf(2697,plain,
! [SV480: a,SV222: set_a] :
( ( ( ! [SY1207: a] :
( ~ ( member_a @ SY1207 @ SV222 )
| ~ ( less_eq @ SY1207 @ ( sK19_X2 @ SV480 @ SV222 ) )
| ( ( sK19_X2 @ SV480 @ SV222 )
= SY1207 ) ) )
= $true )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2472]) ).
thf(2698,plain,
! [SV222: set_a,SV480: a] :
( ( ( ~ ( ~ ( less_eq @ ( sK19_X2 @ SV480 @ SV222 ) @ SV480 )
| ~ ( member_a @ ( sK19_X2 @ SV480 @ SV222 ) @ SV222 ) ) )
= $true )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2473]) ).
thf(2699,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) ) )
= $false )
| ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2474]) ).
thf(2700,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) )
= $false )
| ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2474]) ).
thf(2701,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( less_eq @ SV223 @ SV391 ) )
= $true )
| ( ( ~ ( less_eq @ SV223 @ SV434 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2475]) ).
thf(2702,plain,
! [SV481: a,SV392: a] :
( ( ( ( SV392 != SV481 )
| ~ ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) )
= $false )
| ( ( SV392 = SV481 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2476]) ).
thf(2703,plain,
! [SV392: a,SV481: a] :
( ( ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) )
= $true )
| ( ( ~ ( ( SV392 != SV481 )
| ~ ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2477]) ).
thf(2704,plain,
! [SV225: a > set_a,SV584: a] :
( ( ( ! [SY1243: a] :
( ~ ( less_eq @ SV584 @ SY1243 )
| ( ord_less_eq_set_a @ ( SV225 @ SV584 ) @ ( SV225 @ SY1243 ) ) ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV225 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2479]) ).
thf(2705,plain,
! [SV225: a > set_a] :
( ( ( less_eq @ ( sK62_SY1046 @ SV225 ) @ ( sK66_SY1234 @ SV225 ) )
= $true )
| ( ( ~ ( ~ ( mono_a_set_a @ less_eq @ SV225 )
| ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2480]) ).
thf(2706,plain,
! [SV225: a > set_a] :
( ( ( ~ ( mono_a_set_a @ less_eq @ SV225 )
| ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV225 @ ( sK62_SY1046 @ SV225 ) ) @ ( SV225 @ ( sK66_SY1234 @ SV225 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2481]) ).
thf(2707,plain,
! [SV482: a,SV227: set_a] :
( ( ( ! [SY1208: a] :
( ~ ( member_a @ SY1208 @ SV227 )
| ~ ( less_eq @ ( sK20_X2 @ SV482 @ SV227 ) @ SY1208 )
| ( ( sK20_X2 @ SV482 @ SV227 )
= SY1208 ) ) )
= $true )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2482]) ).
thf(2708,plain,
! [SV227: set_a,SV482: a] :
( ( ( ~ ( ~ ( less_eq @ SV482 @ ( sK20_X2 @ SV482 @ SV227 ) )
| ~ ( member_a @ ( sK20_X2 @ SV482 @ SV227 ) @ SV227 ) ) )
= $true )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2483]) ).
thf(2709,plain,
! [SV569: set_a,SV228: set_set_a] :
( ( ( ~ ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 )
| ~ ( ( SV228 != bot_bot_set_set_a ) ) )
= $false )
| ( ( member_set_a @ SV569 @ SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2484]) ).
thf(2710,plain,
! [SV228: set_set_a] :
( ( ( ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 ) )
= $true )
| ( ( SV228 = bot_bot_set_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2485]) ).
thf(2711,plain,
! [SV228: set_set_a] :
( ( ( ( SV228 != bot_bot_set_set_a ) )
= $true )
| ( ( SV228 = bot_bot_set_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2486]) ).
thf(2712,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ( SV394 != SV483 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) )
= $false )
| ( ( SV394 = SV483 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2487]) ).
thf(2713,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) )
= $true )
| ( ( ~ ( ( SV394 != SV483 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2488]) ).
thf(2714,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 )
| ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2489]) ).
thf(2715,plain,
! [SV395: set_set_a,SV484: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV395 )
| ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV484 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 )
| ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2490]) ).
thf(2716,plain,
! [SV232: a > a > a] :
( ( ( less_eq @ ( sK37_SY738 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
= $true )
| ( ( ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2491]) ).
thf(2717,plain,
! [SV232: a > a > a] :
( ( ( ~ ( ~ ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) ) ) )
= $true )
| ( ( ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2492]) ).
thf(2718,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) )
= $false )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2495]) ).
thf(2719,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2496]) ).
thf(2720,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $false )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2496]) ).
thf(2721,plain,
! [SV440: set_a,SV397: set_a,SV237: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2497]) ).
thf(2722,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2497]) ).
thf(2723,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( ~ ( member_a @ SV237 @ SV440 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2498]) ).
thf(2724,plain,
! [SV441: set_a,SV398: a,SV238: a] :
( ( ( ( ( insert_a @ SV238 @ bot_bot_set_a )
!= ( insert_a @ SV398 @ SV441 ) ) )
= $false )
| ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2499]) ).
thf(2725,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( ~ ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2499]) ).
thf(2726,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( ( SV398 != SV238 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV238 @ bot_bot_set_a )
!= ( insert_a @ SV398 @ SV441 ) )
| ~ ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2500]) ).
thf(2727,plain,
! [SV239: set_a,SV552: a] :
( ( ( member_a @ ( sK12_A4 @ SV552 @ SV239 ) @ SV239 )
= $true )
| ( ( less_eq @ SV552 @ ( lattic247676691_fin_a @ inf @ SV239 ) )
= $true )
| ( ( SV239 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV239 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2501]) ).
thf(2728,plain,
! [SV239: set_a,SV552: a] :
( ( ( ~ ( less_eq @ SV552 @ ( sK12_A4 @ SV552 @ SV239 ) ) )
= $true )
| ( ( less_eq @ SV552 @ ( lattic247676691_fin_a @ inf @ SV239 ) )
= $true )
| ( ( SV239 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV239 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2502]) ).
thf(2729,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
!= ( insert_a @ SV442 @ bot_bot_set_a ) ) )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2503]) ).
thf(2730,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ~ ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2503]) ).
thf(2731,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( SV240 != SV399 ) )
= $true )
| ( ( ( SV399 != SV442 ) )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
!= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2504]) ).
thf(2732,plain,
! [SV488: set_a,SV241: set_set_a] :
( ( ( ! [SY1212: set_a] :
( ~ ( member_set_a @ SY1212 @ SV241 )
| ~ ( ord_less_eq_set_a @ SY1212 @ ( sK1_X2 @ SV488 @ SV241 ) )
| ( ( sK1_X2 @ SV488 @ SV241 )
= SY1212 ) ) )
= $true )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2505]) ).
thf(2733,plain,
! [SV241: set_set_a,SV488: set_a] :
( ( ( ~ ( ~ ( member_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV241 )
| ~ ( ord_less_eq_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV488 ) ) )
= $true )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2506]) ).
thf(2734,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) ) )
= $false )
| ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2507]) ).
thf(2735,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) )
= $false )
| ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2507]) ).
thf(2736,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( less_eq @ SV242 @ SV400 ) )
= $true )
| ( ( ~ ( less_eq @ SV242 @ SV443 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2508]) ).
thf(2737,plain,
! [SV244: set_a,SV555: a] :
( ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) ) )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2509]) ).
thf(2738,plain,
! [SV555: a,SV244: set_a] :
( ( ( ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) ) )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2509]) ).
thf(2739,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2510]) ).
thf(2740,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) ) )
= $false )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2511]) ).
thf(2741,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $false )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2511]) ).
thf(2742,plain,
! [SV571: a,SV246: set_a] :
( ( ( ~ ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 )
| ~ ( ( SV246 != bot_bot_set_a ) ) )
= $false )
| ( ( member_a @ SV571 @ SV246 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2512]) ).
thf(2743,plain,
! [SV246: set_a] :
( ( ( ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 ) )
= $true )
| ( ( SV246 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2513]) ).
thf(2744,plain,
! [SV246: set_a] :
( ( ( ( SV246 != bot_bot_set_a ) )
= $true )
| ( ( SV246 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2514]) ).
thf(2745,plain,
! [SV247: set_a] :
( ( ( ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2516]) ).
thf(2746,plain,
! [SV247: set_a,SV572: a] :
( ( ( ~ ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 )
| ( less_eq @ SV572 @ ( sK73_SY1238 @ SV572 @ SV247 ) ) )
= $false )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2517]) ).
thf(2747,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 )
| ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2518]) ).
thf(2748,plain,
! [SV404: set_a,SV492: set_a] :
( ( ( ~ ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV404 )
| ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV492 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 )
| ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2519]) ).
thf(2749,plain,
! [SV250: set_a,SV576: a] :
( ( ( ~ ( member_a @ SV576 @ SV250 ) )
= $true )
| ( ( ~ ( less_eq @ ( sK13_X2 @ SV250 ) @ SV576 )
| ( ( sK13_X2 @ SV250 )
= SV576 ) )
= $true )
| ( ( SV250 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2520]) ).
thf(2750,plain,
! [SV39: a > $o,SV281: a > $o] :
( ( ( SV281 @ ( sK50_X2 @ SV281 @ SV39 ) )
= $false )
| ( ( SV39 @ ( sK50_X2 @ SV281 @ SV39 ) )
= $false )
| ( ( ( collect_a @ SV39 )
= ( collect_a @ SV281 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2529]) ).
thf(2751,plain,
! [SV40: a,SV282: a] :
( ( ( ~ ( less_eq @ SV282 @ SV40 ) )
= $false )
| ( ( less_eq @ SV282 @ SV40 )
= $false )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2530]) ).
thf(2752,plain,
! [SV40: a,SV282: a] :
( ( ( ( SV282 != SV40 ) )
= $false )
| ( ( less_eq @ SV282 @ SV40 )
= $false )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2530]) ).
thf(2753,plain,
! [SV40: a,SV282: a] :
( ( ( ~ ( less_eq @ SV282 @ SV40 ) )
= $false )
| ( ( SV282 = SV40 )
= $false )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2531]) ).
thf(2754,plain,
! [SV40: a,SV282: a] :
( ( ( ( SV282 != SV40 ) )
= $false )
| ( ( SV282 = SV40 )
= $false )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2531]) ).
thf(2755,plain,
! [SV585: a,SV339: a > a > a] :
( ( ( ! [SY1244: a,SY1245: a] :
( ( SV339 @ ( SV339 @ SV585 @ SY1244 ) @ SY1245 )
= ( SV339 @ SV585 @ ( SV339 @ SY1244 @ SY1245 ) ) ) )
= $true )
| ( ( semigroup_a @ SV339 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2569]) ).
thf(2756,plain,
! [SV339: a > a > a] :
( ( ( ~ ( semigroup_a @ SV339 )
| ~ ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) )
= $false )
| ( ( ( SV339 @ ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( sK67_SY1235 @ SV339 ) ) @ ( sK68_SY1239 @ SV339 ) )
= ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( SV339 @ ( sK67_SY1235 @ SV339 ) @ ( sK68_SY1239 @ SV339 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2570]) ).
thf(2757,plain,
! [SV526: a,SV128: set_a,SV573: a] :
( ( ( member_a @ SV573 @ SV128 )
= $false )
| ( ( less_eq @ SV526 @ SV573 )
= $true )
| ( ( less_eq @ SV526 @ ( lattic247676691_fin_a @ inf @ SV128 ) )
= $false )
| ( ( SV128 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2571]) ).
thf(2758,plain,
! [SV527: a,SV129: set_a,SV574: a] :
( ( ( member_a @ SV574 @ SV129 )
= $false )
| ( ( less_eq @ SV574 @ SV527 )
= $true )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV129 ) @ SV527 )
= $false )
| ( ( SV129 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2572]) ).
thf(2759,plain,
! [SV577: a,SV133: a > $o] :
( ( ( SV133 @ SV577 )
= $false )
| ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2573]) ).
thf(2760,plain,
! [SV133: a > $o] :
( ( ( bot_bot_set_a
= ( collect_a @ SV133 ) )
= $true )
| ( ( SV133 @ ( sK57_SY924 @ SV133 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2574]) ).
thf(2761,plain,
! [SV133: a > $o] :
( ( ( ! [SY924: a] :
~ ( SV133 @ SY924 ) )
= $true )
| ( ( SV133 @ ( sK57_SY924 @ SV133 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2575]) ).
thf(2762,plain,
! [SV578: a,SV134: a > $o] :
( ( ( SV134 @ SV578 )
= $false )
| ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2576]) ).
thf(2763,plain,
! [SV134: a > $o] :
( ( ( ( collect_a @ SV134 )
= bot_bot_set_a )
= $true )
| ( ( SV134 @ ( sK58_SY925 @ SV134 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2577]) ).
thf(2764,plain,
! [SV134: a > $o] :
( ( ( ! [SY925: a] :
~ ( SV134 @ SY925 ) )
= $true )
| ( ( SV134 @ ( sK58_SY925 @ SV134 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2578]) ).
thf(2765,plain,
! [SV135: set_set_a] :
( ( ( ! [SY926: set_a] :
~ ( member_set_a @ SY926 @ SV135 ) )
= $true )
| ( ( member_set_a @ ( sK59_SY926 @ SV135 ) @ SV135 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2579]) ).
thf(2766,plain,
! [SV135: set_set_a] :
( ( ( SV135 = bot_bot_set_set_a )
= $true )
| ( ( member_set_a @ ( sK59_SY926 @ SV135 ) @ SV135 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2580]) ).
thf(2767,plain,
! [SV135: set_set_a,SV579: set_a] :
( ( ( member_set_a @ SV579 @ SV135 )
= $false )
| ( ( SV135 = bot_bot_set_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2581]) ).
thf(2768,plain,
! [SV136: set_a] :
( ( ( ! [SY927: a] :
~ ( member_a @ SY927 @ SV136 ) )
= $true )
| ( ( member_a @ ( sK60_SY927 @ SV136 ) @ SV136 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2582]) ).
thf(2769,plain,
! [SV136: set_a] :
( ( ( SV136 = bot_bot_set_a )
= $true )
| ( ( member_a @ ( sK60_SY927 @ SV136 ) @ SV136 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2583]) ).
thf(2770,plain,
! [SV136: set_a,SV580: a] :
( ( ( member_a @ SV580 @ SV136 )
= $false )
| ( ( SV136 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2584]) ).
thf(2771,plain,
! [SV355: a,SV172: set_a] :
( ( ( SV172 = bot_bot_set_a )
= $true )
| ( ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) )
= $true )
| ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2602]) ).
thf(2772,plain,
! [SV355: a,SV172: set_a] :
( ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
= $true )
| ( ( SV172 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2603]) ).
thf(2773,plain,
! [SV355: a,SV172: set_a] :
( ( ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) )
= $true )
| ( ( SV172 = bot_bot_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2604]) ).
thf(2774,plain,
! [SV355: a,SV172: set_a] :
( ( ( ord_less_eq_set_a @ SV172 @ ( insert_a @ SV355 @ bot_bot_set_a ) )
= $true )
| ( ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2605]) ).
thf(2775,plain,
! [SV355: a,SV172: set_a] :
( ( ( ( SV172 = bot_bot_set_a )
| ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) ) )
= $true )
| ( ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2606]) ).
thf(2776,plain,
! [SV470: set_set_a,SV181: set_a,SV364: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
= $false )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2615]) ).
thf(2777,plain,
! [SV181: set_a,SV470: set_set_a,SV364: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV364 @ SV470 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
= $false )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2615]) ).
thf(2778,plain,
! [SV470: set_set_a,SV181: set_a,SV364: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV364 @ SV470 )
= $false )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2616]) ).
thf(2779,plain,
! [SV181: set_a,SV470: set_set_a,SV364: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV364 @ SV470 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV364 @ SV470 )
= $false )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2616]) ).
thf(2780,plain,
! [SV471: set_a,SV182: a,SV365: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
= $false )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2617]) ).
thf(2781,plain,
! [SV182: a,SV471: set_a,SV365: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV365 @ SV471 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
= $false )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2617]) ).
thf(2782,plain,
! [SV471: set_a,SV182: a,SV365: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV365 @ SV471 )
= $false )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2618]) ).
thf(2783,plain,
! [SV182: a,SV471: set_a,SV365: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV365 @ SV471 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV365 @ SV471 )
= $false )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2618]) ).
thf(2784,plain,
! [SV370: a,SV187: a] :
( ( ( less_eq @ SV187 @ SV370 )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2628]) ).
thf(2785,plain,
! [SV370: a,SV187: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV187 @ SV370 )
= bot_bot_set_a )
= $true )
| ( ( less_eq @ SV187 @ SV370 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2629]) ).
thf(2786,plain,
! [SV370: a,SV187: a] :
( ( ( ~ ( less_eq @ SV187 @ SV370 ) )
= $true )
| ( ( less_eq @ SV187 @ SV370 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2630]) ).
thf(2787,plain,
! [SV371: a,SV188: a] :
( ( ( less_eq @ SV188 @ SV371 )
= $false )
| ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2632]) ).
thf(2788,plain,
! [SV371: a,SV188: a] :
( ( ( bot_bot_set_a
= ( set_atLeastAtMost_a @ less_eq @ SV188 @ SV371 ) )
= $true )
| ( ( less_eq @ SV188 @ SV371 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2633]) ).
thf(2789,plain,
! [SV371: a,SV188: a] :
( ( ( ~ ( less_eq @ SV188 @ SV371 ) )
= $true )
| ( ( less_eq @ SV188 @ SV371 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2634]) ).
thf(2790,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2635]) ).
thf(2791,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2636]) ).
thf(2792,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
| ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) )
= $false )
| ( ( less_eq @ SV192 @ SV374 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2637]) ).
thf(2793,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) ) )
= $false )
| ( ( less_eq @ SV419 @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2638]) ).
thf(2794,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) )
= $false )
| ( ( less_eq @ SV419 @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2638]) ).
thf(2795,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2639]) ).
thf(2796,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2640]) ).
thf(2797,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
| ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) )
= $false )
| ( ( less_eq @ SV193 @ SV375 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2641]) ).
thf(2798,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) ) )
= $false )
| ( ( less_eq @ SV375 @ SV420 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2642]) ).
thf(2799,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) )
= $false )
| ( ( less_eq @ SV375 @ SV420 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2642]) ).
thf(2800,plain,
! [SV538: a,SV195: set_a] :
( ( ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) )
= $false )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2643]) ).
thf(2801,plain,
! [SV195: set_a,SV538: a] :
( ( ( ~ ( member_a @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV195 )
| ( less_eq @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV538 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) ) )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2644]) ).
thf(2802,plain,
! [SV376: a,SV581: a > $o,SV196: a > $o] :
( ( ( ~ ( ~ ( SV196 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1240: a] :
( ~ ( SV196 @ SY1240 )
| ( less_eq @ SY1240 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) )
| ~ ~ ( SV581 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) ) ) )
= $true )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2645]) ).
thf(2803,plain,
! [SV376: a,SV586: a > $o,SV196: a > $o] :
( ( ( ~ ( ~ ( SV196 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1246: a] :
( ~ ( SV196 @ SY1246 )
| ( less_eq @ SY1246 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) )
| ~ ~ ( SV586 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) ) )
| ( SV586 @ ( greatest_a @ less_eq @ SV196 ) ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2646]) ).
thf(2804,plain,
! [SV197: set_a,SV539: a] :
( ( ( less_eq @ ( sK11_A4 @ SV539 @ SV197 ) @ SV539 )
= $false )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV197 ) @ SV539 )
= $true )
| ( ( SV197 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV197 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2648]) ).
thf(2805,plain,
! [SV198: set_a] :
( ( ( ~ ! [SY1247: a] :
( ~ ( member_a @ SY1247 @ SV198 )
| ( less_eq @ SY1247 @ ( sK76_SY987 @ SV198 ) ) ) )
= $false )
| ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2649]) ).
thf(2806,plain,
! [SV198: set_a,SV567: a] :
( ( ( ~ ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 ) )
= $false )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2650]) ).
thf(2807,plain,
! [SV198: set_a,SV567: a] :
( ( ( less_eq @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV567 )
= $false )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2650]) ).
thf(2808,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2651]) ).
thf(2809,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2651]) ).
thf(2810,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( less_eq @ SV199 @ SV377 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2652]) ).
thf(2811,plain,
! [SV473: a,SV377: a,SV199: a,SV421: a] :
( ( ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2653]) ).
thf(2812,plain,
! [SV422: a,SV378: set_a,SV201: a] :
( ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= $true )
| ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2654]) ).
thf(2813,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) )
= $true )
| ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2655]) ).
thf(2814,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( SV201 = SV422 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV201 @ SV378 )
!= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2656]) ).
thf(2815,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2657]) ).
thf(2816,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2657]) ).
thf(2817,plain,
! [SV379: set_a,SV474: set_a] :
( ( ( ~ ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV379 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 )
| ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2658]) ).
thf(2818,plain,
! [SV379: set_a,SV474: set_a] :
( ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV474 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 )
| ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2658]) ).
thf(2819,plain,
! [SV424: set_set_a,SV380: set_set_a,SV203: set_a] :
( ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= $true )
| ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2659]) ).
thf(2820,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2660]) ).
thf(2821,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( member_set_a @ SV203 @ SV424 )
= $false )
| ( ( ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2661]) ).
thf(2822,plain,
! [SV425: a,SV381: a,SV204: a] :
( ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= $true )
| ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2662]) ).
thf(2823,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) )
= $true )
| ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2663]) ).
thf(2824,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( less_eq @ SV381 @ SV204 )
= $false )
| ( ( ~ ( less_eq @ SV204 @ SV425 ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2664]) ).
thf(2825,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2665]) ).
thf(2826,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2665]) ).
thf(2827,plain,
! [SV382: set_set_a,SV475: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV382 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 )
| ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2828,plain,
! [SV382: set_set_a,SV475: set_set_a] :
( ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV475 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 )
| ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2829,plain,
! [SV206: a > set_a,SV587: a,SV582: a] :
( ( ( ~ ( less_eq @ SV582 @ SV587 )
| ( ord_less_eq_set_a @ ( SV206 @ SV587 ) @ ( SV206 @ SV582 ) ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV206 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2667]) ).
thf(2830,plain,
! [SV206: a > set_a] :
( ( ( ~ ( antimono_a_set_a @ less_eq @ SV206 )
| ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) )
= $false )
| ( ( less_eq @ ( sK61_SY1006 @ SV206 ) @ ( sK64_SY1233 @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2668]) ).
thf(2831,plain,
! [SV206: a > set_a] :
( ( ( ~ ( antimono_a_set_a @ less_eq @ SV206 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV206 @ ( sK64_SY1233 @ SV206 ) ) @ ( SV206 @ ( sK61_SY1006 @ SV206 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2669]) ).
thf(2832,plain,
! [SV206: a > set_a] :
( ( ( ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV206 @ ( sK64_SY1233 @ SV206 ) ) @ ( SV206 @ ( sK61_SY1006 @ SV206 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2669]) ).
thf(2833,plain,
! [SV384: a,SV583: a > $o,SV208: a > $o] :
( ( ( ~ ( ~ ( SV208 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1242: a] :
( ~ ( SV208 @ SY1242 )
| ( less_eq @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) @ SY1242 ) )
| ~ ~ ( SV583 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) ) ) ) )
= $true )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2671]) ).
thf(2834,plain,
! [SV384: a,SV588: a > $o,SV208: a > $o] :
( ( ( ~ ( ~ ( SV208 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1248: a] :
( ~ ( SV208 @ SY1248 )
| ( less_eq @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) @ SY1248 ) )
| ~ ~ ( SV588 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) ) ) )
| ( SV588 @ ( least_a @ less_eq @ SV208 ) ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2672]) ).
thf(2835,plain,
! [SV476: a,SV385: a] :
( ( ( ( SV385 != SV476 ) )
= $false )
| ( ( SV385 = SV476 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2673]) ).
thf(2836,plain,
! [SV476: a,SV385: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) )
= $false )
| ( ( SV385 = SV476 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2673]) ).
thf(2837,plain,
! [SV476: a,SV385: a] :
( ( ( ~ ( less_eq @ SV385 @ SV476 ) )
= $true )
| ( ( ~ ( less_eq @ SV476 @ SV385 ) )
= $true )
| ( ( ~ ( ( SV385 != SV476 )
| ~ ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2674]) ).
thf(2838,plain,
! [SV428: a,SV386: a,SV210: a] :
( ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= $true )
| ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2675]) ).
thf(2839,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) )
= $true )
| ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2676]) ).
thf(2840,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( less_eq @ SV210 @ SV428 )
= $false )
| ( ( ~ ( less_eq @ SV386 @ SV428 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2677]) ).
thf(2841,plain,
! [SV429: a,SV388: a,SV212: a] :
( ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= $true )
| ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2679]) ).
thf(2842,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) )
= $true )
| ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2680]) ).
thf(2843,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( less_eq @ SV212 @ SV429 )
= $false )
| ( ( ~ ( less_eq @ SV388 @ SV429 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2681]) ).
thf(2844,plain,
! [SV213: a > a > a,SV589: a] :
( ( ( ! [SY1249: a] :
( ( inf @ SV589 @ SY1249 )
= ( SV213 @ SV589 @ SY1249 ) ) )
= $true )
| ( ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK44_SY743 @ SV213 ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2682]) ).
thf(2845,plain,
! [SV213: a > a > a] :
( ( ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) )
| ~ ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) ) )
= $false )
| ( ( ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2683]) ).
thf(2846,plain,
! [SV479: a,SV389: a] :
( ( ( ( SV389 != SV479 ) )
= $false )
| ( ( SV389 = SV479 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2684]) ).
thf(2847,plain,
! [SV479: a,SV389: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) )
= $false )
| ( ( SV389 = SV479 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2684]) ).
thf(2848,plain,
! [SV479: a,SV389: a] :
( ( ( ~ ( less_eq @ SV389 @ SV479 ) )
= $true )
| ( ( ~ ( less_eq @ SV479 @ SV389 ) )
= $true )
| ( ( ~ ( ( SV389 != SV479 )
| ~ ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2685]) ).
thf(2849,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ! [SY1187: a] :
( ~ ( SV217 @ SY1187 )
| ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SY1187 ) ) )
= $true )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2686]) ).
thf(2850,plain,
! [SV432: a,SV217: a > $o] :
( ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2687]) ).
thf(2851,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
= $false )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2688]) ).
thf(2852,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ! [SY1188: a] :
( ~ ( SV218 @ SY1188 )
| ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SY1188 ) ) )
= $true )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2689]) ).
thf(2853,plain,
! [SV433: a,SV218: a > $o] :
( ( ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2690]) ).
thf(2854,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
= $false )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( ( sK32_Y2 @ SV433 @ SV218 )
= SV433 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2691]) ).
thf(2855,plain,
! [SV219: set_a,SV575: a] :
( ( ( member_a @ SV575 @ SV219 )
= $false )
| ( ( ~ ( less_eq @ SV575 @ ( sK14_X2 @ SV219 ) )
| ( ( sK14_X2 @ SV219 )
= SV575 ) )
= $true )
| ( ( SV219 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV219 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2692]) ).
thf(2856,plain,
! [SV390: a > $o,SV590: a,SV221: a > $o] :
( ( ( ~ ( SV221 @ SV590 )
| ( SV390 @ SV590 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2694]) ).
thf(2857,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
| ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) )
= $false )
| ( ( SV221 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2695]) ).
thf(2858,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) ) )
= $false )
| ( ( SV390 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2696]) ).
thf(2859,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) )
= $false )
| ( ( SV390 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2696]) ).
thf(2860,plain,
! [SV480: a,SV222: set_a,SV591: a] :
( ( ( ~ ( member_a @ SV591 @ SV222 )
| ~ ( less_eq @ SV591 @ ( sK19_X2 @ SV480 @ SV222 ) )
| ( ( sK19_X2 @ SV480 @ SV222 )
= SV591 ) )
= $true )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2697]) ).
thf(2861,plain,
! [SV222: set_a,SV480: a] :
( ( ( ~ ( less_eq @ ( sK19_X2 @ SV480 @ SV222 ) @ SV480 )
| ~ ( member_a @ ( sK19_X2 @ SV480 @ SV222 ) @ SV222 ) )
= $false )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2698]) ).
thf(2862,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= $true )
| ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2699]) ).
thf(2863,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) )
= $true )
| ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2700]) ).
thf(2864,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( less_eq @ SV223 @ SV391 )
= $false )
| ( ( ~ ( less_eq @ SV223 @ SV434 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2701]) ).
thf(2865,plain,
! [SV481: a,SV392: a] :
( ( ( ( SV392 != SV481 ) )
= $false )
| ( ( SV392 = SV481 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2702]) ).
thf(2866,plain,
! [SV392: a,SV481: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) )
= $false )
| ( ( SV392 = SV481 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2702]) ).
thf(2867,plain,
! [SV392: a,SV481: a] :
( ( ( ~ ( less_eq @ SV481 @ SV392 ) )
= $true )
| ( ( ~ ( less_eq @ SV392 @ SV481 ) )
= $true )
| ( ( ~ ( ( SV392 != SV481 )
| ~ ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2703]) ).
thf(2868,plain,
! [SV225: a > set_a,SV592: a,SV584: a] :
( ( ( ~ ( less_eq @ SV584 @ SV592 )
| ( ord_less_eq_set_a @ ( SV225 @ SV584 ) @ ( SV225 @ SV592 ) ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV225 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2704]) ).
thf(2869,plain,
! [SV225: a > set_a] :
( ( ( ~ ( mono_a_set_a @ less_eq @ SV225 )
| ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) )
= $false )
| ( ( less_eq @ ( sK62_SY1046 @ SV225 ) @ ( sK66_SY1234 @ SV225 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2705]) ).
thf(2870,plain,
! [SV225: a > set_a] :
( ( ( ~ ( mono_a_set_a @ less_eq @ SV225 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV225 @ ( sK62_SY1046 @ SV225 ) ) @ ( SV225 @ ( sK66_SY1234 @ SV225 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2706]) ).
thf(2871,plain,
! [SV225: a > set_a] :
( ( ( ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV225 @ ( sK62_SY1046 @ SV225 ) ) @ ( SV225 @ ( sK66_SY1234 @ SV225 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2706]) ).
thf(2872,plain,
! [SV482: a,SV227: set_a,SV593: a] :
( ( ( ~ ( member_a @ SV593 @ SV227 )
| ~ ( less_eq @ ( sK20_X2 @ SV482 @ SV227 ) @ SV593 )
| ( ( sK20_X2 @ SV482 @ SV227 )
= SV593 ) )
= $true )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2707]) ).
thf(2873,plain,
! [SV227: set_a,SV482: a] :
( ( ( ~ ( less_eq @ SV482 @ ( sK20_X2 @ SV482 @ SV227 ) )
| ~ ( member_a @ ( sK20_X2 @ SV482 @ SV227 ) @ SV227 ) )
= $false )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2708]) ).
thf(2874,plain,
! [SV569: set_a,SV228: set_set_a] :
( ( ( ~ ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 ) )
= $false )
| ( ( member_set_a @ SV569 @ SV228 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2709]) ).
thf(2875,plain,
! [SV569: set_a,SV228: set_set_a] :
( ( ( ~ ( ( SV228 != bot_bot_set_set_a ) ) )
= $false )
| ( ( member_set_a @ SV569 @ SV228 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2709]) ).
thf(2876,plain,
! [SV228: set_set_a] :
( ( ( ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 ) )
= $false )
| ( ( SV228 = bot_bot_set_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2710]) ).
thf(2877,plain,
! [SV228: set_set_a] :
( ( ( SV228 = bot_bot_set_set_a )
= $false )
| ( ( SV228 = bot_bot_set_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2711]) ).
thf(2878,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ( SV394 != SV483 ) )
= $false )
| ( ( SV394 = SV483 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2712]) ).
thf(2879,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) )
= $false )
| ( ( SV394 = SV483 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2712]) ).
thf(2880,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) )
= $true )
| ( ( ~ ( ( SV394 != SV483 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2713]) ).
thf(2881,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2714]) ).
thf(2882,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2714]) ).
thf(2883,plain,
! [SV395: set_set_a,SV484: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV395 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 )
| ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2715]) ).
thf(2884,plain,
! [SV395: set_set_a,SV484: set_set_a] :
( ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV484 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 )
| ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2715]) ).
thf(2885,plain,
! [SV232: a > a > a,SV594: a] :
( ( ( ! [SY1250: a] :
( ( sup @ SV594 @ SY1250 )
= ( SV232 @ SV594 @ SY1250 ) ) )
= $true )
| ( ( less_eq @ ( sK37_SY738 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2716]) ).
thf(2886,plain,
! [SV232: a > a > a] :
( ( ( ~ ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
| ~ ~ ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) ) )
= $false )
| ( ( ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2717]) ).
thf(2887,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2718]) ).
thf(2888,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) )
= $false )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2718]) ).
thf(2889,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2719]) ).
thf(2890,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 )
| ( SV396 != SV439 ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2720]) ).
thf(2891,plain,
! [SV440: set_a,SV397: set_a,SV237: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2721]) ).
thf(2892,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2722]) ).
thf(2893,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( member_a @ SV237 @ SV440 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2723]) ).
thf(2894,plain,
! [SV441: set_a,SV398: a,SV238: a] :
( ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= $true )
| ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2724]) ).
thf(2895,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) )
= $true )
| ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2725]) ).
thf(2896,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( SV398 = SV238 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV238 @ bot_bot_set_a )
!= ( insert_a @ SV398 @ SV441 ) )
| ~ ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2726]) ).
thf(2897,plain,
! [SV239: set_a,SV552: a] :
( ( ( less_eq @ SV552 @ ( sK12_A4 @ SV552 @ SV239 ) )
= $false )
| ( ( less_eq @ SV552 @ ( lattic247676691_fin_a @ inf @ SV239 ) )
= $true )
| ( ( SV239 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV239 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2728]) ).
thf(2898,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2729]) ).
thf(2899,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2730]) ).
thf(2900,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( SV240 = SV399 )
= $false )
| ( ( ( SV399 != SV442 ) )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
!= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2731]) ).
thf(2901,plain,
! [SV488: set_a,SV241: set_set_a,SV595: set_a] :
( ( ( ~ ( member_set_a @ SV595 @ SV241 )
| ~ ( ord_less_eq_set_a @ SV595 @ ( sK1_X2 @ SV488 @ SV241 ) )
| ( ( sK1_X2 @ SV488 @ SV241 )
= SV595 ) )
= $true )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2732]) ).
thf(2902,plain,
! [SV241: set_set_a,SV488: set_a] :
( ( ( ~ ( member_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV241 )
| ~ ( ord_less_eq_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV488 ) )
= $false )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2733]) ).
thf(2903,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= $true )
| ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2734]) ).
thf(2904,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) )
= $true )
| ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2735]) ).
thf(2905,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( less_eq @ SV242 @ SV400 )
= $false )
| ( ( ~ ( less_eq @ SV242 @ SV443 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2736]) ).
thf(2906,plain,
! [SV244: set_a,SV555: a] :
( ( ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) )
= $false )
| ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2737]) ).
thf(2907,plain,
! [SV244: set_a,SV555: a] :
( ( ( ~ ( member_a @ ( sK77_SY1232 @ SV555 @ SV244 ) @ SV244 )
| ( less_eq @ SV555 @ ( sK77_SY1232 @ SV555 @ SV244 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) ) )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2738]) ).
thf(2908,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) ) )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2739]) ).
thf(2909,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2739]) ).
thf(2910,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2740]) ).
thf(2911,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2741]) ).
thf(2912,plain,
! [SV571: a,SV246: set_a] :
( ( ( ~ ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 ) )
= $false )
| ( ( member_a @ SV571 @ SV246 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2742]) ).
thf(2913,plain,
! [SV571: a,SV246: set_a] :
( ( ( ~ ( ( SV246 != bot_bot_set_a ) ) )
= $false )
| ( ( member_a @ SV571 @ SV246 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2742]) ).
thf(2914,plain,
! [SV246: set_a] :
( ( ( ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 ) )
= $false )
| ( ( SV246 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2743]) ).
thf(2915,plain,
! [SV246: set_a] :
( ( ( SV246 = bot_bot_set_a )
= $false )
| ( ( SV246 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2744]) ).
thf(2916,plain,
! [SV247: set_a] :
( ( ( ~ ! [SY1251: a] :
( ~ ( member_a @ SY1251 @ SV247 )
| ( less_eq @ ( sK78_SY1084 @ SV247 ) @ SY1251 ) ) )
= $false )
| ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2745]) ).
thf(2917,plain,
! [SV247: set_a,SV572: a] :
( ( ( ~ ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 ) )
= $false )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2746]) ).
thf(2918,plain,
! [SV247: set_a,SV572: a] :
( ( ( less_eq @ SV572 @ ( sK73_SY1238 @ SV572 @ SV247 ) )
= $false )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2746]) ).
thf(2919,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2747]) ).
thf(2920,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2747]) ).
thf(2921,plain,
! [SV404: set_a,SV492: set_a] :
( ( ( ~ ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV404 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 )
| ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2748]) ).
thf(2922,plain,
! [SV404: set_a,SV492: set_a] :
( ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV492 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 )
| ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2748]) ).
thf(2923,plain,
! [SV250: set_a,SV576: a] :
( ( ( member_a @ SV576 @ SV250 )
= $false )
| ( ( ~ ( less_eq @ ( sK13_X2 @ SV250 ) @ SV576 )
| ( ( sK13_X2 @ SV250 )
= SV576 ) )
= $true )
| ( ( SV250 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2749]) ).
thf(2924,plain,
! [SV40: a,SV282: a] :
( ( ( less_eq @ SV282 @ SV40 )
= $true )
| ( ( less_eq @ SV282 @ SV40 )
= $false )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2751]) ).
thf(2925,plain,
! [SV40: a,SV282: a] :
( ( ( SV282 = SV40 )
= $true )
| ( ( less_eq @ SV282 @ SV40 )
= $false )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2752]) ).
thf(2926,plain,
! [SV40: a,SV282: a] :
( ( ( less_eq @ SV282 @ SV40 )
= $true )
| ( ( SV282 = SV40 )
= $false )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2753]) ).
thf(2927,plain,
! [SV40: a,SV282: a] :
( ( ( SV282 = SV40 )
= $true )
| ( ( SV282 = SV40 )
= $false )
| ( ( less_eq @ SV40 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2754]) ).
thf(2928,plain,
! [SV596: a,SV585: a,SV339: a > a > a] :
( ( ( ! [SY1252: a] :
( ( SV339 @ ( SV339 @ SV585 @ SV596 ) @ SY1252 )
= ( SV339 @ SV585 @ ( SV339 @ SV596 @ SY1252 ) ) ) )
= $true )
| ( ( semigroup_a @ SV339 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2755]) ).
thf(2929,plain,
! [SV339: a > a > a] :
( ( ( ~ ( semigroup_a @ SV339 ) )
= $false )
| ( ( ( SV339 @ ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( sK67_SY1235 @ SV339 ) ) @ ( sK68_SY1239 @ SV339 ) )
= ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( SV339 @ ( sK67_SY1235 @ SV339 ) @ ( sK68_SY1239 @ SV339 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2756]) ).
thf(2930,plain,
! [SV339: a > a > a] :
( ( ( ~ ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) )
= $false )
| ( ( ( SV339 @ ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( sK67_SY1235 @ SV339 ) ) @ ( sK68_SY1239 @ SV339 ) )
= ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( SV339 @ ( sK67_SY1235 @ SV339 ) @ ( sK68_SY1239 @ SV339 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2756]) ).
thf(2931,plain,
! [SV597: a,SV133: a > $o] :
( ( ( ~ ( SV133 @ SV597 ) )
= $true )
| ( ( SV133 @ ( sK57_SY924 @ SV133 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2761]) ).
thf(2932,plain,
! [SV598: a,SV134: a > $o] :
( ( ( ~ ( SV134 @ SV598 ) )
= $true )
| ( ( SV134 @ ( sK58_SY925 @ SV134 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2764]) ).
thf(2933,plain,
! [SV135: set_set_a,SV599: set_a] :
( ( ( ~ ( member_set_a @ SV599 @ SV135 ) )
= $true )
| ( ( member_set_a @ ( sK59_SY926 @ SV135 ) @ SV135 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2765]) ).
thf(2934,plain,
! [SV136: set_a,SV600: a] :
( ( ( ~ ( member_a @ SV600 @ SV136 ) )
= $true )
| ( ( member_a @ ( sK60_SY927 @ SV136 ) @ SV136 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2768]) ).
thf(2935,plain,
! [SV355: a,SV172: set_a] :
( ( ( SV172 = bot_bot_set_a )
= $true )
| ( ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) )
= $true )
| ( ( SV172 = bot_bot_set_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2773]) ).
thf(2936,plain,
! [SV355: a,SV172: set_a] :
( ( ( SV172 = bot_bot_set_a )
= $true )
| ( ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) )
= $true )
| ( ( SV172
= ( insert_a @ SV355 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2775]) ).
thf(2937,plain,
! [SV470: set_set_a,SV181: set_a,SV364: set_set_a] :
( ( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
= $false )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2776]) ).
thf(2938,plain,
! [SV181: set_a,SV470: set_set_a,SV364: set_set_a] :
( ( ( ord_le318720350_set_a @ SV364 @ SV470 )
= $true )
| ( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
= $false )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2777]) ).
thf(2939,plain,
! [SV470: set_set_a,SV181: set_a,SV364: set_set_a] :
( ( ( ord_le318720350_set_a @ SV364 @ ( insert_set_a @ SV181 @ SV470 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV364 @ SV470 )
= $false )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2778]) ).
thf(2940,plain,
! [SV181: set_a,SV470: set_set_a,SV364: set_set_a] :
( ( ( ord_le318720350_set_a @ SV364 @ SV470 )
= $true )
| ( ( ord_le318720350_set_a @ SV364 @ SV470 )
= $false )
| ( ( member_set_a @ SV181 @ SV364 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2779]) ).
thf(2941,plain,
! [SV471: set_a,SV182: a,SV365: set_a] :
( ( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
= $false )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2780]) ).
thf(2942,plain,
! [SV182: a,SV471: set_a,SV365: set_a] :
( ( ( ord_less_eq_set_a @ SV365 @ SV471 )
= $true )
| ( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
= $false )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2781]) ).
thf(2943,plain,
! [SV471: set_a,SV182: a,SV365: set_a] :
( ( ( ord_less_eq_set_a @ SV365 @ ( insert_a @ SV182 @ SV471 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV365 @ SV471 )
= $false )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2782]) ).
thf(2944,plain,
! [SV182: a,SV471: set_a,SV365: set_a] :
( ( ( ord_less_eq_set_a @ SV365 @ SV471 )
= $true )
| ( ( ord_less_eq_set_a @ SV365 @ SV471 )
= $false )
| ( ( member_a @ SV182 @ SV365 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2783]) ).
thf(2945,plain,
! [SV370: a,SV187: a] :
( ( ( less_eq @ SV187 @ SV370 )
= $false )
| ( ( less_eq @ SV187 @ SV370 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2786]) ).
thf(2946,plain,
! [SV371: a,SV188: a] :
( ( ( less_eq @ SV188 @ SV371 )
= $false )
| ( ( less_eq @ SV188 @ SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2789]) ).
thf(2947,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( less_eq @ SV192 @ SV374 ) )
= $true )
| ( ( less_eq @ SV419 @ SV192 )
= $true )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2791]) ).
thf(2948,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) ) )
= $false )
| ( ( less_eq @ SV192 @ SV374 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2792]) ).
thf(2949,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) ) )
= $false )
| ( ( less_eq @ SV192 @ SV374 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2792]) ).
thf(2950,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
= $true )
| ( ( less_eq @ SV419 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2793]) ).
thf(2951,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) )
= $true )
| ( ( less_eq @ SV419 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2794]) ).
thf(2952,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( less_eq @ SV193 @ SV375 ) )
= $true )
| ( ( less_eq @ SV375 @ SV420 )
= $true )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2796]) ).
thf(2953,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) ) )
= $false )
| ( ( less_eq @ SV193 @ SV375 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2797]) ).
thf(2954,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) ) )
= $false )
| ( ( less_eq @ SV193 @ SV375 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2797]) ).
thf(2955,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
= $true )
| ( ( less_eq @ SV375 @ SV420 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2798]) ).
thf(2956,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) )
= $true )
| ( ( less_eq @ SV375 @ SV420 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2799]) ).
thf(2957,plain,
! [SV538: a,SV195: set_a] :
( ( ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 ) )
= $false )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2800]) ).
thf(2958,plain,
! [SV538: a,SV195: set_a] :
( ( ( ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) )
= $false )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2800]) ).
thf(2959,plain,
! [SV195: set_a,SV538: a] :
( ( ( ~ ( member_a @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV195 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) ) )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2801]) ).
thf(2960,plain,
! [SV195: set_a,SV538: a] :
( ( ( less_eq @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV538 )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) ) )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2801]) ).
thf(2961,plain,
! [SV376: a,SV581: a > $o,SV196: a > $o] :
( ( ( ~ ( SV196 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1240: a] :
( ~ ( SV196 @ SY1240 )
| ( less_eq @ SY1240 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) )
| ~ ~ ( SV581 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) ) )
= $false )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2802]) ).
thf(2962,plain,
! [SV376: a,SV586: a > $o,SV196: a > $o] :
( ( ( ~ ( ~ ( SV196 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1246: a] :
( ~ ( SV196 @ SY1246 )
| ( less_eq @ SY1246 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) )
| ~ ~ ( SV586 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) ) ) )
= $true )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2803]) ).
thf(2963,plain,
! [SV198: set_a] :
( ( ( ! [SY1247: a] :
( ~ ( member_a @ SY1247 @ SV198 )
| ( less_eq @ SY1247 @ ( sK76_SY987 @ SV198 ) ) ) )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2805]) ).
thf(2964,plain,
! [SV198: set_a,SV567: a] :
( ( ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 )
= $true )
| ( ( ~ ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2806]) ).
thf(2965,plain,
! [SV567: a,SV198: set_a] :
( ( ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $false )
| ( ( less_eq @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV567 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2807]) ).
thf(2966,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2808]) ).
thf(2967,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2809]) ).
thf(2968,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2810]) ).
thf(2969,plain,
! [SV473: a,SV377: a,SV199: a,SV421: a] :
( ( ( ~ ( less_eq @ SV421 @ SV199 ) )
= $true )
| ( ( ~ ( less_eq @ SV377 @ SV473 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2811]) ).
thf(2970,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) )
= $false )
| ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2813]) ).
thf(2971,plain,
! [SV201: a,SV422: a,SV378: set_a] :
( ( ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false )
| ( ( SV201 = SV422 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV201 @ SV378 )
!= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2814]) ).
thf(2972,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= $true )
| ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2815]) ).
thf(2973,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2816]) ).
thf(2974,plain,
! [SV379: set_a,SV474: set_a] :
( ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV379 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 )
| ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2817]) ).
thf(2975,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 )
| ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) )
= $false )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV474 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2818]) ).
thf(2976,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) )
= $false )
| ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2820]) ).
thf(2977,plain,
! [SV203: set_a,SV424: set_set_a,SV380: set_set_a] :
( ( ( ord_le318720350_set_a @ SV380 @ SV424 )
= $false )
| ( ( member_set_a @ SV203 @ SV424 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2821]) ).
thf(2978,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) )
= $false )
| ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2823]) ).
thf(2979,plain,
! [SV381: a,SV425: a,SV204: a] :
( ( ( less_eq @ SV204 @ SV425 )
= $false )
| ( ( less_eq @ SV381 @ SV204 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2824]) ).
thf(2980,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= $true )
| ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2825]) ).
thf(2981,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2826]) ).
thf(2982,plain,
! [SV382: set_set_a,SV475: set_set_a] :
( ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV382 )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 )
| ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2827]) ).
thf(2983,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 )
| ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) )
= $false )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV475 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2828]) ).
thf(2984,plain,
! [SV206: a > set_a,SV587: a,SV582: a] :
( ( ( ~ ( less_eq @ SV582 @ SV587 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV206 @ SV587 ) @ ( SV206 @ SV582 ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV206 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2829]) ).
thf(2985,plain,
! [SV206: a > set_a] :
( ( ( ~ ( antimono_a_set_a @ less_eq @ SV206 ) )
= $false )
| ( ( less_eq @ ( sK61_SY1006 @ SV206 ) @ ( sK64_SY1233 @ SV206 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2830]) ).
thf(2986,plain,
! [SV206: a > set_a] :
( ( ( ~ ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) )
= $false )
| ( ( less_eq @ ( sK61_SY1006 @ SV206 ) @ ( sK64_SY1233 @ SV206 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2830]) ).
thf(2987,plain,
! [SV206: a > set_a] :
( ( ( antimono_a_set_a @ less_eq @ SV206 )
= $true )
| ( ( ord_less_eq_set_a @ ( SV206 @ ( sK64_SY1233 @ SV206 ) ) @ ( SV206 @ ( sK61_SY1006 @ SV206 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2831]) ).
thf(2988,plain,
! [SV206: a > set_a] :
( ( ( ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV206 @ ( sK64_SY1233 @ SV206 ) ) @ ( SV206 @ ( sK61_SY1006 @ SV206 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2832]) ).
thf(2989,plain,
! [SV384: a,SV583: a > $o,SV208: a > $o] :
( ( ( ~ ( SV208 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1242: a] :
( ~ ( SV208 @ SY1242 )
| ( less_eq @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) @ SY1242 ) )
| ~ ~ ( SV583 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) ) ) )
= $false )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2833]) ).
thf(2990,plain,
! [SV384: a,SV588: a > $o,SV208: a > $o] :
( ( ( ~ ( ~ ( SV208 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1248: a] :
( ~ ( SV208 @ SY1248 )
| ( less_eq @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) @ SY1248 ) )
| ~ ~ ( SV588 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) ) ) ) )
= $true )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2834]) ).
thf(2991,plain,
! [SV476: a,SV385: a] :
( ( ( SV385 = SV476 )
= $true )
| ( ( SV385 = SV476 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2835]) ).
thf(2992,plain,
! [SV476: a,SV385: a] :
( ( ( ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) )
= $true )
| ( ( SV385 = SV476 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2836]) ).
thf(2993,plain,
! [SV476: a,SV385: a] :
( ( ( less_eq @ SV385 @ SV476 )
= $false )
| ( ( ~ ( less_eq @ SV476 @ SV385 ) )
= $true )
| ( ( ~ ( ( SV385 != SV476 )
| ~ ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2837]) ).
thf(2994,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) )
= $false )
| ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2839]) ).
thf(2995,plain,
! [SV210: a,SV428: a,SV386: a] :
( ( ( less_eq @ SV386 @ SV428 )
= $false )
| ( ( less_eq @ SV210 @ SV428 )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2840]) ).
thf(2996,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) )
= $false )
| ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2842]) ).
thf(2997,plain,
! [SV212: a,SV429: a,SV388: a] :
( ( ( less_eq @ SV388 @ SV429 )
= $false )
| ( ( less_eq @ SV212 @ SV429 )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2843]) ).
thf(2998,plain,
! [SV213: a > a > a,SV601: a,SV589: a] :
( ( ( ( inf @ SV589 @ SV601 )
= ( SV213 @ SV589 @ SV601 ) )
= $true )
| ( ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK44_SY743 @ SV213 ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2844]) ).
thf(2999,plain,
! [SV213: a > a > a] :
( ( ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) )
= $false )
| ( ( ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2845]) ).
thf(3000,plain,
! [SV213: a > a > a] :
( ( ( ~ ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) ) )
= $false )
| ( ( ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2845]) ).
thf(3001,plain,
! [SV479: a,SV389: a] :
( ( ( SV389 = SV479 )
= $true )
| ( ( SV389 = SV479 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2846]) ).
thf(3002,plain,
! [SV479: a,SV389: a] :
( ( ( ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) )
= $true )
| ( ( SV389 = SV479 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2847]) ).
thf(3003,plain,
! [SV479: a,SV389: a] :
( ( ( less_eq @ SV389 @ SV479 )
= $false )
| ( ( ~ ( less_eq @ SV479 @ SV389 ) )
= $true )
| ( ( ~ ( ( SV389 != SV479 )
| ~ ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2848]) ).
thf(3004,plain,
! [SV432: a,SV602: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV602 )
| ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 ) )
= $true )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2849]) ).
thf(3005,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) ) )
= $true )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2850]) ).
thf(3006,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
= $false )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2851]) ).
thf(3007,plain,
! [SV217: a > $o,SV432: a] :
( ( ( ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
= $false )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2851]) ).
thf(3008,plain,
! [SV433: a,SV603: a,SV218: a > $o] :
( ( ( ~ ( SV218 @ SV603 )
| ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SV603 ) )
= $true )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2852]) ).
thf(3009,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) ) )
= $true )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2853]) ).
thf(3010,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
= $false )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( ( sK32_Y2 @ SV433 @ SV218 )
= SV433 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2854]) ).
thf(3011,plain,
! [SV218: a > $o,SV433: a] :
( ( ( ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
= $false )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( ( sK32_Y2 @ SV433 @ SV218 )
= SV433 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2854]) ).
thf(3012,plain,
! [SV219: set_a,SV575: a] :
( ( ( ~ ( less_eq @ SV575 @ ( sK14_X2 @ SV219 ) ) )
= $true )
| ( ( ( sK14_X2 @ SV219 )
= SV575 )
= $true )
| ( ( member_a @ SV575 @ SV219 )
= $false )
| ( ( SV219 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV219 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2855]) ).
thf(3013,plain,
! [SV390: a > $o,SV590: a,SV221: a > $o] :
( ( ( ~ ( SV221 @ SV590 ) )
= $true )
| ( ( SV390 @ SV590 )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2856]) ).
thf(3014,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) ) )
= $false )
| ( ( SV221 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2857]) ).
thf(3015,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ~ ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) )
= $false )
| ( ( SV221 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2857]) ).
thf(3016,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= $true )
| ( ( SV390 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2858]) ).
thf(3017,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) )
= $true )
| ( ( SV390 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2859]) ).
thf(3018,plain,
! [SV480: a,SV222: set_a,SV591: a] :
( ( ( ~ ( member_a @ SV591 @ SV222 ) )
= $true )
| ( ( ~ ( less_eq @ SV591 @ ( sK19_X2 @ SV480 @ SV222 ) )
| ( ( sK19_X2 @ SV480 @ SV222 )
= SV591 ) )
= $true )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2860]) ).
thf(3019,plain,
! [SV222: set_a,SV480: a] :
( ( ( ~ ( less_eq @ ( sK19_X2 @ SV480 @ SV222 ) @ SV480 ) )
= $false )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2861]) ).
thf(3020,plain,
! [SV222: set_a,SV480: a] :
( ( ( ~ ( member_a @ ( sK19_X2 @ SV480 @ SV222 ) @ SV222 ) )
= $false )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2861]) ).
thf(3021,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) )
= $false )
| ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2863]) ).
thf(3022,plain,
! [SV391: a,SV434: a,SV223: a] :
( ( ( less_eq @ SV223 @ SV434 )
= $false )
| ( ( less_eq @ SV223 @ SV391 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2864]) ).
thf(3023,plain,
! [SV481: a,SV392: a] :
( ( ( SV392 = SV481 )
= $true )
| ( ( SV392 = SV481 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2865]) ).
thf(3024,plain,
! [SV392: a,SV481: a] :
( ( ( ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) )
= $true )
| ( ( SV392 = SV481 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2866]) ).
thf(3025,plain,
! [SV392: a,SV481: a] :
( ( ( less_eq @ SV481 @ SV392 )
= $false )
| ( ( ~ ( less_eq @ SV392 @ SV481 ) )
= $true )
| ( ( ~ ( ( SV392 != SV481 )
| ~ ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2867]) ).
thf(3026,plain,
! [SV225: a > set_a,SV592: a,SV584: a] :
( ( ( ~ ( less_eq @ SV584 @ SV592 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV225 @ SV584 ) @ ( SV225 @ SV592 ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV225 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2868]) ).
thf(3027,plain,
! [SV225: a > set_a] :
( ( ( ~ ( mono_a_set_a @ less_eq @ SV225 ) )
= $false )
| ( ( less_eq @ ( sK62_SY1046 @ SV225 ) @ ( sK66_SY1234 @ SV225 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2869]) ).
thf(3028,plain,
! [SV225: a > set_a] :
( ( ( ~ ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) )
= $false )
| ( ( less_eq @ ( sK62_SY1046 @ SV225 ) @ ( sK66_SY1234 @ SV225 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2869]) ).
thf(3029,plain,
! [SV225: a > set_a] :
( ( ( mono_a_set_a @ less_eq @ SV225 )
= $true )
| ( ( ord_less_eq_set_a @ ( SV225 @ ( sK62_SY1046 @ SV225 ) ) @ ( SV225 @ ( sK66_SY1234 @ SV225 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2870]) ).
thf(3030,plain,
! [SV225: a > set_a] :
( ( ( ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV225 @ ( sK62_SY1046 @ SV225 ) ) @ ( SV225 @ ( sK66_SY1234 @ SV225 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2871]) ).
thf(3031,plain,
! [SV482: a,SV227: set_a,SV593: a] :
( ( ( ~ ( member_a @ SV593 @ SV227 ) )
= $true )
| ( ( ~ ( less_eq @ ( sK20_X2 @ SV482 @ SV227 ) @ SV593 )
| ( ( sK20_X2 @ SV482 @ SV227 )
= SV593 ) )
= $true )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2872]) ).
thf(3032,plain,
! [SV227: set_a,SV482: a] :
( ( ( ~ ( less_eq @ SV482 @ ( sK20_X2 @ SV482 @ SV227 ) ) )
= $false )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2873]) ).
thf(3033,plain,
! [SV227: set_a,SV482: a] :
( ( ( ~ ( member_a @ ( sK20_X2 @ SV482 @ SV227 ) @ SV227 ) )
= $false )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2873]) ).
thf(3034,plain,
! [SV569: set_a,SV228: set_set_a] :
( ( ( ~ ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 ) )
= $true )
| ( ( member_set_a @ SV569 @ SV228 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2874]) ).
thf(3035,plain,
! [SV569: set_a,SV228: set_set_a] :
( ( ( ( SV228 != bot_bot_set_set_a ) )
= $true )
| ( ( member_set_a @ SV569 @ SV228 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2875]) ).
thf(3036,plain,
! [SV228: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK79_SY1051 @ SV228 ) @ SV228 ) )
= $false )
| ( ( SV228 = bot_bot_set_set_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2876]) ).
thf(3037,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( SV394 = SV483 )
= $true )
| ( ( SV394 = SV483 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2878]) ).
thf(3038,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) )
= $true )
| ( ( SV394 = SV483 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2879]) ).
thf(3039,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) )
= $true )
| ( ( ~ ( ( SV394 != SV483 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2880]) ).
thf(3040,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= $true )
| ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2881]) ).
thf(3041,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2882]) ).
thf(3042,plain,
! [SV395: set_set_a,SV484: set_set_a] :
( ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV395 )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 )
| ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2883]) ).
thf(3043,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 )
| ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) )
= $false )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV484 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2884]) ).
thf(3044,plain,
! [SV232: a > a > a,SV604: a,SV594: a] :
( ( ( ( sup @ SV594 @ SV604 )
= ( SV232 @ SV594 @ SV604 ) )
= $true )
| ( ( less_eq @ ( sK37_SY738 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2885]) ).
thf(3045,plain,
! [SV232: a > a > a] :
( ( ( ~ ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) ) )
= $false )
| ( ( ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2886]) ).
thf(3046,plain,
! [SV232: a > a > a] :
( ( ( ~ ~ ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) ) )
= $false )
| ( ( ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2886]) ).
thf(3047,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2887]) ).
thf(3048,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2888]) ).
thf(3049,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ( SV236 != SV439 ) )
= $true )
| ( ( ( SV396 != SV485 ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2889]) ).
thf(3050,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 ) )
= $true )
| ( ( ( SV396 != SV439 ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2890]) ).
thf(3051,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2892]) ).
thf(3052,plain,
! [SV237: a,SV440: set_a,SV397: set_a] :
( ( ( ord_less_eq_set_a @ SV397 @ SV440 )
= $false )
| ( ( member_a @ SV237 @ SV440 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2893]) ).
thf(3053,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) )
= $false )
| ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2895]) ).
thf(3054,plain,
! [SV398: a,SV238: a,SV441: set_a] :
( ( ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) )
= $false )
| ( ( SV398 = SV238 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV238 @ bot_bot_set_a )
!= ( insert_a @ SV398 @ SV441 ) )
| ~ ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2896]) ).
thf(3055,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( SV240 != SV399 )
| ( SV399 != SV442 ) )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2899]) ).
thf(3056,plain,
! [SV240: a,SV442: a,SV399: a] :
( ( ( SV399 = SV442 )
= $false )
| ( ( SV240 = SV399 )
= $false )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
!= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2900]) ).
thf(3057,plain,
! [SV488: set_a,SV241: set_set_a,SV595: set_a] :
( ( ( ~ ( member_set_a @ SV595 @ SV241 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV595 @ ( sK1_X2 @ SV488 @ SV241 ) )
| ( ( sK1_X2 @ SV488 @ SV241 )
= SV595 ) )
= $true )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2901]) ).
thf(3058,plain,
! [SV241: set_set_a,SV488: set_a] :
( ( ( ~ ( member_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV241 ) )
= $false )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2902]) ).
thf(3059,plain,
! [SV241: set_set_a,SV488: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV488 ) )
= $false )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2902]) ).
thf(3060,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) )
= $false )
| ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2904]) ).
thf(3061,plain,
! [SV400: a,SV443: a,SV242: a] :
( ( ( less_eq @ SV242 @ SV443 )
= $false )
| ( ( less_eq @ SV242 @ SV400 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2905]) ).
thf(3062,plain,
! [SV244: set_a,SV555: a] :
( ( ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) ) )
= $false )
| ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2906]) ).
thf(3063,plain,
! [SV555: a,SV244: set_a] :
( ( ( ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) )
= $false )
| ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2906]) ).
thf(3064,plain,
! [SV244: set_a,SV555: a] :
( ( ( ~ ( member_a @ ( sK77_SY1232 @ SV555 @ SV244 ) @ SV244 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) ) )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2907]) ).
thf(3065,plain,
! [SV244: set_a,SV555: a] :
( ( ( less_eq @ SV555 @ ( sK77_SY1232 @ SV555 @ SV244 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) ) )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2907]) ).
thf(3066,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2908]) ).
thf(3067,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2909]) ).
thf(3068,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ( SV245 != SV444 ) )
= $true )
| ( ( ( SV402 != SV491 ) )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2910]) ).
thf(3069,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 ) )
= $true )
| ( ( ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2911]) ).
thf(3070,plain,
! [SV571: a,SV246: set_a] :
( ( ( ~ ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 ) )
= $true )
| ( ( member_a @ SV571 @ SV246 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2912]) ).
thf(3071,plain,
! [SV571: a,SV246: set_a] :
( ( ( ( SV246 != bot_bot_set_a ) )
= $true )
| ( ( member_a @ SV571 @ SV246 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2913]) ).
thf(3072,plain,
! [SV246: set_a] :
( ( ( ~ ( member_a @ ( sK80_SY1083 @ SV246 ) @ SV246 ) )
= $false )
| ( ( SV246 = bot_bot_set_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2914]) ).
thf(3073,plain,
! [SV247: set_a] :
( ( ( ! [SY1251: a] :
( ~ ( member_a @ SY1251 @ SV247 )
| ( less_eq @ ( sK78_SY1084 @ SV247 ) @ SY1251 ) ) )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2916]) ).
thf(3074,plain,
! [SV247: set_a,SV572: a] :
( ( ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 )
= $true )
| ( ( ~ ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2917]) ).
thf(3075,plain,
! [SV572: a,SV247: set_a] :
( ( ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $false )
| ( ( less_eq @ SV572 @ ( sK73_SY1238 @ SV572 @ SV247 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2918]) ).
thf(3076,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= $true )
| ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2919]) ).
thf(3077,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2920]) ).
thf(3078,plain,
! [SV404: set_a,SV492: set_a] :
( ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV404 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 )
| ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2921]) ).
thf(3079,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 )
| ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) )
= $false )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV492 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2922]) ).
thf(3080,plain,
! [SV576: a,SV250: set_a] :
( ( ( ~ ( less_eq @ ( sK13_X2 @ SV250 ) @ SV576 ) )
= $true )
| ( ( ( sK13_X2 @ SV250 )
= SV576 )
= $true )
| ( ( member_a @ SV576 @ SV250 )
= $false )
| ( ( SV250 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2923]) ).
thf(3081,plain,
! [SV605: a,SV596: a,SV585: a,SV339: a > a > a] :
( ( ( ( SV339 @ ( SV339 @ SV585 @ SV596 ) @ SV605 )
= ( SV339 @ SV585 @ ( SV339 @ SV596 @ SV605 ) ) )
= $true )
| ( ( semigroup_a @ SV339 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2928]) ).
thf(3082,plain,
! [SV339: a > a > a] :
( ( ( semigroup_a @ SV339 )
= $true )
| ( ( ( SV339 @ ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( sK67_SY1235 @ SV339 ) ) @ ( sK68_SY1239 @ SV339 ) )
= ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( SV339 @ ( sK67_SY1235 @ SV339 ) @ ( sK68_SY1239 @ SV339 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2929]) ).
thf(3083,plain,
! [SV339: a > a > a] :
( ( ( ! [SY1133: a,SY1134: a,SY1135: a] :
( ( SV339 @ ( SV339 @ SY1133 @ SY1134 ) @ SY1135 )
= ( SV339 @ SY1133 @ ( SV339 @ SY1134 @ SY1135 ) ) ) )
= $true )
| ( ( ( SV339 @ ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( sK67_SY1235 @ SV339 ) ) @ ( sK68_SY1239 @ SV339 ) )
= ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( SV339 @ ( sK67_SY1235 @ SV339 ) @ ( sK68_SY1239 @ SV339 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2930]) ).
thf(3084,plain,
! [SV597: a,SV133: a > $o] :
( ( ( SV133 @ SV597 )
= $false )
| ( ( SV133 @ ( sK57_SY924 @ SV133 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2931]) ).
thf(3085,plain,
! [SV598: a,SV134: a > $o] :
( ( ( SV134 @ SV598 )
= $false )
| ( ( SV134 @ ( sK58_SY925 @ SV134 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2932]) ).
thf(3086,plain,
! [SV135: set_set_a,SV599: set_a] :
( ( ( member_set_a @ SV599 @ SV135 )
= $false )
| ( ( member_set_a @ ( sK59_SY926 @ SV135 ) @ SV135 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2933]) ).
thf(3087,plain,
! [SV136: set_a,SV600: a] :
( ( ( member_a @ SV600 @ SV136 )
= $false )
| ( ( member_a @ ( sK60_SY927 @ SV136 ) @ SV136 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2934]) ).
thf(3088,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( less_eq @ SV192 @ SV374 )
= $false )
| ( ( less_eq @ SV419 @ SV192 )
= $true )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2947]) ).
thf(3089,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV192 @ SV374 ) @ ( set_atLeast_a @ less_eq @ SV419 ) )
= $true )
| ( ( less_eq @ SV192 @ SV374 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2948]) ).
thf(3090,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( less_eq @ SV192 @ SV374 )
| ( less_eq @ SV419 @ SV192 ) )
= $true )
| ( ( less_eq @ SV192 @ SV374 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2949]) ).
thf(3091,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( less_eq @ SV192 @ SV374 ) )
= $true )
| ( ( less_eq @ SV419 @ SV192 )
= $true )
| ( ( less_eq @ SV419 @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2951]) ).
thf(3092,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( less_eq @ SV193 @ SV375 )
= $false )
| ( ( less_eq @ SV375 @ SV420 )
= $true )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2952]) ).
thf(3093,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV193 @ SV375 ) @ ( set_atMost_a @ less_eq @ SV420 ) )
= $true )
| ( ( less_eq @ SV193 @ SV375 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2953]) ).
thf(3094,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( less_eq @ SV193 @ SV375 )
| ( less_eq @ SV375 @ SV420 ) )
= $true )
| ( ( less_eq @ SV193 @ SV375 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2954]) ).
thf(3095,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( less_eq @ SV193 @ SV375 ) )
= $true )
| ( ( less_eq @ SV375 @ SV420 )
= $true )
| ( ( less_eq @ SV375 @ SV420 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2956]) ).
thf(3096,plain,
! [SV538: a,SV195: set_a] :
( ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= $true )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2957]) ).
thf(3097,plain,
! [SV538: a,SV195: set_a] :
( ( ( ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) )
= $true )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2958]) ).
thf(3098,plain,
! [SV195: set_a,SV538: a] :
( ( ( member_a @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV195 )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) ) )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2959]) ).
thf(3099,plain,
! [SV538: a,SV195: set_a] :
( ( ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) )
= $false )
| ( ( less_eq @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2960]) ).
thf(3100,plain,
! [SV376: a,SV581: a > $o,SV196: a > $o] :
( ( ( ~ ( SV196 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) )
= $false )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2961]) ).
thf(3101,plain,
! [SV376: a,SV581: a > $o,SV196: a > $o] :
( ( ( ~ ~ ( ~ ! [SY1240: a] :
( ~ ( SV196 @ SY1240 )
| ( less_eq @ SY1240 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) )
| ~ ~ ( SV581 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) ) )
= $false )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2961]) ).
thf(3102,plain,
! [SV376: a,SV586: a > $o,SV196: a > $o] :
( ( ( ~ ( SV196 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) )
| ~ ~ ( ~ ! [SY1246: a] :
( ~ ( SV196 @ SY1246 )
| ( less_eq @ SY1246 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) )
| ~ ~ ( SV586 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) ) )
= $false )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2962]) ).
thf(3103,plain,
! [SV198: set_a,SV606: a] :
( ( ( ~ ( member_a @ SV606 @ SV198 )
| ( less_eq @ SV606 @ ( sK76_SY987 @ SV198 ) ) )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2963]) ).
thf(3104,plain,
! [SV567: a,SV198: set_a] :
( ( ( ~ ( condit1627435690bove_a @ less_eq @ SV198 )
| ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $false )
| ( ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2964]) ).
thf(3105,plain,
! [SV567: a,SV198: set_a] :
( ( ( ~ ( condit1627435690bove_a @ less_eq @ SV198 ) )
= $false )
| ( ( less_eq @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV567 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2965]) ).
thf(3106,plain,
! [SV567: a,SV198: set_a] :
( ( ( ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $false )
| ( ( less_eq @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV567 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2965]) ).
thf(3107,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( less_eq @ SV199 @ SV377 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2967]) ).
thf(3108,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) ) )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2968]) ).
thf(3109,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2968]) ).
thf(3110,plain,
! [SV473: a,SV377: a,SV199: a,SV421: a] :
( ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( ~ ( less_eq @ SV377 @ SV473 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2969]) ).
thf(3111,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( ( SV201 != SV422 ) )
= $false )
| ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2970]) ).
thf(3112,plain,
! [SV201: a,SV422: a,SV378: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) )
= $false )
| ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2970]) ).
thf(3113,plain,
! [SV422: a,SV378: set_a,SV201: a] :
( ( ( ( ( insert_a @ SV201 @ SV378 )
!= ( insert_a @ SV422 @ bot_bot_set_a ) )
| ~ ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( SV201 = SV422 )
= $false )
| ( ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2971]) ).
thf(3114,plain,
! [SV474: set_a,SV379: set_a,SV607: a] :
( ( ( ~ ( member_a @ SV607 @ SV379 )
| ( member_a @ SV607 @ SV474 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2973]) ).
thf(3115,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 )
| ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) )
= $false )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV379 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2974]) ).
thf(3116,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 ) )
= $false )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV474 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2975]) ).
thf(3117,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) )
= $false )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV474 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2975]) ).
thf(3118,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( ~ ( member_set_a @ SV203 @ SV424 ) )
= $false )
| ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2976]) ).
thf(3119,plain,
! [SV203: set_a,SV424: set_set_a,SV380: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) )
= $false )
| ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2976]) ).
thf(3120,plain,
! [SV424: set_set_a,SV380: set_set_a,SV203: set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
| ~ ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) )
= $false )
| ( ( member_set_a @ SV203 @ SV424 )
= $false )
| ( ( ord_le318720350_set_a @ SV380 @ SV424 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2977]) ).
thf(3121,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( ~ ( less_eq @ SV381 @ SV204 ) )
= $false )
| ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2978]) ).
thf(3122,plain,
! [SV381: a,SV425: a,SV204: a] :
( ( ( ~ ( less_eq @ SV204 @ SV425 ) )
= $false )
| ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2978]) ).
thf(3123,plain,
! [SV425: a,SV381: a,SV204: a] :
( ( ( ~ ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
| ~ ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) )
= $false )
| ( ( less_eq @ SV381 @ SV204 )
= $false )
| ( ( less_eq @ SV204 @ SV425 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2979]) ).
thf(3124,plain,
! [SV475: set_set_a,SV382: set_set_a,SV608: set_a] :
( ( ( ~ ( member_set_a @ SV608 @ SV382 )
| ( member_set_a @ SV608 @ SV475 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2981]) ).
thf(3125,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 )
| ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) )
= $false )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV382 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2982]) ).
thf(3126,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 ) )
= $false )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV475 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2983]) ).
thf(3127,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) )
= $false )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV475 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2983]) ).
thf(3128,plain,
! [SV206: a > set_a,SV587: a,SV582: a] :
( ( ( less_eq @ SV582 @ SV587 )
= $false )
| ( ( ord_less_eq_set_a @ ( SV206 @ SV587 ) @ ( SV206 @ SV582 ) )
= $true )
| ( ( antimono_a_set_a @ less_eq @ SV206 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2984]) ).
thf(3129,plain,
! [SV206: a > set_a] :
( ( ( antimono_a_set_a @ less_eq @ SV206 )
= $true )
| ( ( less_eq @ ( sK61_SY1006 @ SV206 ) @ ( sK64_SY1233 @ SV206 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2985]) ).
thf(3130,plain,
! [SV206: a > set_a] :
( ( ( ! [SY1006: a,SY1007: a] :
( ~ ( less_eq @ SY1006 @ SY1007 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1007 ) @ ( SV206 @ SY1006 ) ) ) )
= $true )
| ( ( less_eq @ ( sK61_SY1006 @ SV206 ) @ ( sK64_SY1233 @ SV206 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2986]) ).
thf(3131,plain,
! [SV206: a > set_a,SV609: a] :
( ( ( ! [SY1253: a] :
( ~ ( less_eq @ SV609 @ SY1253 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1253 ) @ ( SV206 @ SV609 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV206 @ ( sK64_SY1233 @ SV206 ) ) @ ( SV206 @ ( sK61_SY1006 @ SV206 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2988]) ).
thf(3132,plain,
! [SV384: a,SV583: a > $o,SV208: a > $o] :
( ( ( ~ ( SV208 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) ) )
= $false )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2989]) ).
thf(3133,plain,
! [SV384: a,SV583: a > $o,SV208: a > $o] :
( ( ( ~ ~ ( ~ ! [SY1242: a] :
( ~ ( SV208 @ SY1242 )
| ( less_eq @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) @ SY1242 ) )
| ~ ~ ( SV583 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) ) ) )
= $false )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2989]) ).
thf(3134,plain,
! [SV384: a,SV588: a > $o,SV208: a > $o] :
( ( ( ~ ( SV208 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) )
| ~ ~ ( ~ ! [SY1248: a] :
( ~ ( SV208 @ SY1248 )
| ( less_eq @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) @ SY1248 ) )
| ~ ~ ( SV588 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) ) ) )
= $false )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2990]) ).
thf(3135,plain,
! [SV476: a,SV385: a] :
( ( ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) )
= $false )
| ( ( SV385 = SV476 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2992]) ).
thf(3136,plain,
! [SV385: a,SV476: a] :
( ( ( less_eq @ SV476 @ SV385 )
= $false )
| ( ( less_eq @ SV385 @ SV476 )
= $false )
| ( ( ~ ( ( SV385 != SV476 )
| ~ ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2993]) ).
thf(3137,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( ~ ( less_eq @ SV210 @ SV428 ) )
= $false )
| ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2994]) ).
thf(3138,plain,
! [SV210: a,SV428: a,SV386: a] :
( ( ( ~ ( less_eq @ SV386 @ SV428 ) )
= $false )
| ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2994]) ).
thf(3139,plain,
! [SV428: a,SV386: a,SV210: a] :
( ( ( ~ ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
| ~ ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) )
= $false )
| ( ( less_eq @ SV210 @ SV428 )
= $false )
| ( ( less_eq @ SV386 @ SV428 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2995]) ).
thf(3140,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( ~ ( less_eq @ SV212 @ SV429 ) )
= $false )
| ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2996]) ).
thf(3141,plain,
! [SV212: a,SV429: a,SV388: a] :
( ( ( ~ ( less_eq @ SV388 @ SV429 ) )
= $false )
| ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2996]) ).
thf(3142,plain,
! [SV429: a,SV388: a,SV212: a] :
( ( ( ~ ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
| ~ ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) )
= $false )
| ( ( less_eq @ SV212 @ SV429 )
= $false )
| ( ( less_eq @ SV388 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2997]) ).
thf(3143,plain,
! [SV213: a > a > a] :
( ( ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) )
= $true )
| ( ( ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2999]) ).
thf(3144,plain,
! [SV213: a > a > a] :
( ( ( ~ ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) ) )
= $true )
| ( ( ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3000]) ).
thf(3145,plain,
! [SV479: a,SV389: a] :
( ( ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) )
= $false )
| ( ( SV389 = SV479 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3002]) ).
thf(3146,plain,
! [SV389: a,SV479: a] :
( ( ( less_eq @ SV479 @ SV389 )
= $false )
| ( ( less_eq @ SV389 @ SV479 )
= $false )
| ( ( ~ ( ( SV389 != SV479 )
| ~ ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3003]) ).
thf(3147,plain,
! [SV432: a,SV602: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV602 ) )
= $true )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3004]) ).
thf(3148,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
= $false )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3005]) ).
thf(3149,plain,
! [SV432: a,SV217: a > $o] :
( ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3006]) ).
thf(3150,plain,
! [SV217: a > $o,SV432: a] :
( ( ( ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
= $true )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3007]) ).
thf(3151,plain,
! [SV433: a,SV603: a,SV218: a > $o] :
( ( ( ~ ( SV218 @ SV603 ) )
= $true )
| ( ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SV603 )
= $true )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3008]) ).
thf(3152,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
= $false )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3009]) ).
thf(3153,plain,
! [SV433: a,SV218: a > $o] :
( ( ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( ( sK32_Y2 @ SV433 @ SV218 )
= SV433 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3010]) ).
thf(3154,plain,
! [SV218: a > $o,SV433: a] :
( ( ( ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
= $true )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( ( sK32_Y2 @ SV433 @ SV218 )
= SV433 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3011]) ).
thf(3155,plain,
! [SV219: set_a,SV575: a] :
( ( ( less_eq @ SV575 @ ( sK14_X2 @ SV219 ) )
= $false )
| ( ( ( sK14_X2 @ SV219 )
= SV575 )
= $true )
| ( ( member_a @ SV575 @ SV219 )
= $false )
| ( ( SV219 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV219 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3012]) ).
thf(3156,plain,
! [SV390: a > $o,SV590: a,SV221: a > $o] :
( ( ( SV221 @ SV590 )
= $false )
| ( ( SV390 @ SV590 )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3013]) ).
thf(3157,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV221 ) @ ( collect_a @ SV390 ) )
= $true )
| ( ( SV221 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3014]) ).
thf(3158,plain,
! [SV390: a > $o,SV221: a > $o] :
( ( ( ! [SY1166: a] :
( ~ ( SV221 @ SY1166 )
| ( SV390 @ SY1166 ) ) )
= $true )
| ( ( SV221 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3015]) ).
thf(3159,plain,
! [SV390: a > $o,SV610: a,SV221: a > $o] :
( ( ( ~ ( SV221 @ SV610 )
| ( SV390 @ SV610 ) )
= $true )
| ( ( SV390 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3017]) ).
thf(3160,plain,
! [SV480: a,SV222: set_a,SV591: a] :
( ( ( member_a @ SV591 @ SV222 )
= $false )
| ( ( ~ ( less_eq @ SV591 @ ( sK19_X2 @ SV480 @ SV222 ) )
| ( ( sK19_X2 @ SV480 @ SV222 )
= SV591 ) )
= $true )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3018]) ).
thf(3161,plain,
! [SV222: set_a,SV480: a] :
( ( ( less_eq @ ( sK19_X2 @ SV480 @ SV222 ) @ SV480 )
= $true )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3019]) ).
thf(3162,plain,
! [SV222: set_a,SV480: a] :
( ( ( member_a @ ( sK19_X2 @ SV480 @ SV222 ) @ SV222 )
= $true )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3020]) ).
thf(3163,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( less_eq @ SV223 @ SV391 ) )
= $false )
| ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3021]) ).
thf(3164,plain,
! [SV391: a,SV434: a,SV223: a] :
( ( ( ~ ( less_eq @ SV223 @ SV434 ) )
= $false )
| ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3021]) ).
thf(3165,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
| ~ ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) )
= $false )
| ( ( less_eq @ SV223 @ SV391 )
= $false )
| ( ( less_eq @ SV223 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3022]) ).
thf(3166,plain,
! [SV392: a,SV481: a] :
( ( ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) )
= $false )
| ( ( SV392 = SV481 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3024]) ).
thf(3167,plain,
! [SV481: a,SV392: a] :
( ( ( less_eq @ SV392 @ SV481 )
= $false )
| ( ( less_eq @ SV481 @ SV392 )
= $false )
| ( ( ~ ( ( SV392 != SV481 )
| ~ ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3025]) ).
thf(3168,plain,
! [SV225: a > set_a,SV592: a,SV584: a] :
( ( ( less_eq @ SV584 @ SV592 )
= $false )
| ( ( ord_less_eq_set_a @ ( SV225 @ SV584 ) @ ( SV225 @ SV592 ) )
= $true )
| ( ( mono_a_set_a @ less_eq @ SV225 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3026]) ).
thf(3169,plain,
! [SV225: a > set_a] :
( ( ( mono_a_set_a @ less_eq @ SV225 )
= $true )
| ( ( less_eq @ ( sK62_SY1046 @ SV225 ) @ ( sK66_SY1234 @ SV225 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3027]) ).
thf(3170,plain,
! [SV225: a > set_a] :
( ( ( ! [SY1046: a,SY1047: a] :
( ~ ( less_eq @ SY1046 @ SY1047 )
| ( ord_less_eq_set_a @ ( SV225 @ SY1046 ) @ ( SV225 @ SY1047 ) ) ) )
= $true )
| ( ( less_eq @ ( sK62_SY1046 @ SV225 ) @ ( sK66_SY1234 @ SV225 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3028]) ).
thf(3171,plain,
! [SV225: a > set_a,SV611: a] :
( ( ( ! [SY1254: a] :
( ~ ( less_eq @ SV611 @ SY1254 )
| ( ord_less_eq_set_a @ ( SV225 @ SV611 ) @ ( SV225 @ SY1254 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV225 @ ( sK62_SY1046 @ SV225 ) ) @ ( SV225 @ ( sK66_SY1234 @ SV225 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3030]) ).
thf(3172,plain,
! [SV482: a,SV227: set_a,SV593: a] :
( ( ( member_a @ SV593 @ SV227 )
= $false )
| ( ( ~ ( less_eq @ ( sK20_X2 @ SV482 @ SV227 ) @ SV593 )
| ( ( sK20_X2 @ SV482 @ SV227 )
= SV593 ) )
= $true )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3031]) ).
thf(3173,plain,
! [SV227: set_a,SV482: a] :
( ( ( less_eq @ SV482 @ ( sK20_X2 @ SV482 @ SV227 ) )
= $true )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3032]) ).
thf(3174,plain,
! [SV227: set_a,SV482: a] :
( ( ( member_a @ ( sK20_X2 @ SV482 @ SV227 ) @ SV227 )
= $true )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3033]) ).
thf(3175,plain,
! [SV569: set_a,SV228: set_set_a] :
( ( ( ! [SY1051: set_a] :
~ ( member_set_a @ SY1051 @ SV228 ) )
= $false )
| ( ( member_set_a @ SV569 @ SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3034]) ).
thf(3176,plain,
! [SV569: set_a,SV228: set_set_a] :
( ( ( SV228 = bot_bot_set_set_a )
= $false )
| ( ( member_set_a @ SV569 @ SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3035]) ).
thf(3177,plain,
! [SV228: set_set_a] :
( ( ( member_set_a @ ( sK79_SY1051 @ SV228 ) @ SV228 )
= $true )
| ( ( SV228 = bot_bot_set_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3036]) ).
thf(3178,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) )
= $false )
| ( ( SV394 = SV483 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3038]) ).
thf(3179,plain,
! [SV394: set_a,SV483: set_a] :
( ( ( ord_less_eq_set_a @ SV483 @ SV394 )
= $false )
| ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $false )
| ( ( ~ ( ( SV394 != SV483 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3039]) ).
thf(3180,plain,
! [SV484: set_set_a,SV395: set_set_a,SV612: set_a] :
( ( ( ~ ( member_set_a @ SV612 @ SV395 )
| ( member_set_a @ SV612 @ SV484 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3041]) ).
thf(3181,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 )
| ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) )
= $false )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV395 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3042]) ).
thf(3182,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 ) )
= $false )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV484 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3043]) ).
thf(3183,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) )
= $false )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV484 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3043]) ).
thf(3184,plain,
! [SV232: a > a > a] :
( ( ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
= $true )
| ( ( ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3045]) ).
thf(3185,plain,
! [SV232: a > a > a] :
( ( ( ~ ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) ) )
= $true )
| ( ( ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3046]) ).
thf(3186,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) ) )
= $true )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3048]) ).
thf(3187,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( SV236 = SV439 )
= $false )
| ( ( ( SV396 != SV485 ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3049]) ).
thf(3188,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( SV236 = SV485 )
= $false )
| ( ( ( SV396 != SV439 ) )
= $true )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3050]) ).
thf(3189,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( ~ ( member_a @ SV237 @ SV440 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3051]) ).
thf(3190,plain,
! [SV237: a,SV440: set_a,SV397: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3051]) ).
thf(3191,plain,
! [SV440: set_a,SV397: set_a,SV237: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
| ~ ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) )
= $false )
| ( ( member_a @ SV237 @ SV440 )
= $false )
| ( ( ord_less_eq_set_a @ SV397 @ SV440 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3052]) ).
thf(3192,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( ( SV398 != SV238 ) )
= $false )
| ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3193,plain,
! [SV398: a,SV238: a,SV441: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) )
= $false )
| ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3194,plain,
! [SV441: set_a,SV398: a,SV238: a] :
( ( ( ( ( insert_a @ SV238 @ bot_bot_set_a )
!= ( insert_a @ SV398 @ SV441 ) )
| ~ ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( SV398 = SV238 )
= $false )
| ( ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3054]) ).
thf(3195,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( SV240 != SV399 ) )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3055]) ).
thf(3196,plain,
! [SV240: a,SV442: a,SV399: a] :
( ( ( ( SV399 != SV442 ) )
= $false )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3055]) ).
thf(3197,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
!= ( insert_a @ SV442 @ bot_bot_set_a ) )
| ~ ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) )
= $false )
| ( ( SV240 = SV399 )
= $false )
| ( ( SV399 = SV442 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3056]) ).
thf(3198,plain,
! [SV488: set_a,SV241: set_set_a,SV595: set_a] :
( ( ( member_set_a @ SV595 @ SV241 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV595 @ ( sK1_X2 @ SV488 @ SV241 ) )
| ( ( sK1_X2 @ SV488 @ SV241 )
= SV595 ) )
= $true )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3057]) ).
thf(3199,plain,
! [SV241: set_set_a,SV488: set_a] :
( ( ( member_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV241 )
= $true )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3058]) ).
thf(3200,plain,
! [SV241: set_set_a,SV488: set_a] :
( ( ( ord_less_eq_set_a @ ( sK1_X2 @ SV488 @ SV241 ) @ SV488 )
= $true )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3059]) ).
thf(3201,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( less_eq @ SV242 @ SV400 ) )
= $false )
| ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3060]) ).
thf(3202,plain,
! [SV400: a,SV443: a,SV242: a] :
( ( ( ~ ( less_eq @ SV242 @ SV443 ) )
= $false )
| ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3060]) ).
thf(3203,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
| ~ ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) )
= $false )
| ( ( less_eq @ SV242 @ SV400 )
= $false )
| ( ( less_eq @ SV242 @ SV443 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3061]) ).
thf(3204,plain,
! [SV244: set_a,SV555: a] :
( ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= $true )
| ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3062]) ).
thf(3205,plain,
! [SV555: a,SV244: set_a] :
( ( ( ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) )
= $true )
| ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3063]) ).
thf(3206,plain,
! [SV244: set_a,SV555: a] :
( ( ( member_a @ ( sK77_SY1232 @ SV555 @ SV244 ) @ SV244 )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) ) )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3064]) ).
thf(3207,plain,
! [SV244: set_a,SV555: a] :
( ( ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) )
= $false )
| ( ( less_eq @ SV555 @ ( sK77_SY1232 @ SV555 @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3065]) ).
thf(3208,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3067]) ).
thf(3209,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( SV245 = SV444 )
= $false )
| ( ( ( SV402 != SV491 ) )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3068]) ).
thf(3210,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ( less_eq @ SV245 @ SV402 ) )
= $false )
| ( ( ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3069]) ).
thf(3211,plain,
! [SV571: a,SV246: set_a] :
( ( ( ! [SY1083: a] :
~ ( member_a @ SY1083 @ SV246 ) )
= $false )
| ( ( member_a @ SV571 @ SV246 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3070]) ).
thf(3212,plain,
! [SV571: a,SV246: set_a] :
( ( ( SV246 = bot_bot_set_a )
= $false )
| ( ( member_a @ SV571 @ SV246 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3071]) ).
thf(3213,plain,
! [SV246: set_a] :
( ( ( member_a @ ( sK80_SY1083 @ SV246 ) @ SV246 )
= $true )
| ( ( SV246 = bot_bot_set_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3072]) ).
thf(3214,plain,
! [SV247: set_a,SV613: a] :
( ( ( ~ ( member_a @ SV613 @ SV247 )
| ( less_eq @ ( sK78_SY1084 @ SV247 ) @ SV613 ) )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3073]) ).
thf(3215,plain,
! [SV572: a,SV247: set_a] :
( ( ( ~ ( condit1001553558elow_a @ less_eq @ SV247 )
| ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $false )
| ( ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3074]) ).
thf(3216,plain,
! [SV572: a,SV247: set_a] :
( ( ( ~ ( condit1001553558elow_a @ less_eq @ SV247 ) )
= $false )
| ( ( less_eq @ SV572 @ ( sK73_SY1238 @ SV572 @ SV247 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3075]) ).
thf(3217,plain,
! [SV572: a,SV247: set_a] :
( ( ( ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $false )
| ( ( less_eq @ SV572 @ ( sK73_SY1238 @ SV572 @ SV247 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3075]) ).
thf(3218,plain,
! [SV492: set_a,SV404: set_a,SV614: a] :
( ( ( ~ ( member_a @ SV614 @ SV404 )
| ( member_a @ SV614 @ SV492 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3077]) ).
thf(3219,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 )
| ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) )
= $false )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV404 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3078]) ).
thf(3220,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 ) )
= $false )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV492 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3079]) ).
thf(3221,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) )
= $false )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV492 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3079]) ).
thf(3222,plain,
! [SV576: a,SV250: set_a] :
( ( ( less_eq @ ( sK13_X2 @ SV250 ) @ SV576 )
= $false )
| ( ( ( sK13_X2 @ SV250 )
= SV576 )
= $true )
| ( ( member_a @ SV576 @ SV250 )
= $false )
| ( ( SV250 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3080]) ).
thf(3223,plain,
! [SV615: a,SV339: a > a > a] :
( ( ( ! [SY1255: a,SY1256: a] :
( ( SV339 @ ( SV339 @ SV615 @ SY1255 ) @ SY1256 )
= ( SV339 @ SV615 @ ( SV339 @ SY1255 @ SY1256 ) ) ) )
= $true )
| ( ( ( SV339 @ ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( sK67_SY1235 @ SV339 ) ) @ ( sK68_SY1239 @ SV339 ) )
= ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( SV339 @ ( sK67_SY1235 @ SV339 ) @ ( sK68_SY1239 @ SV339 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3083]) ).
thf(3224,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( ~ ( less_eq @ SV192 @ SV374 ) )
= $true )
| ( ( less_eq @ SV419 @ SV192 )
= $true )
| ( ( less_eq @ SV192 @ SV374 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3090]) ).
thf(3225,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( less_eq @ SV192 @ SV374 )
= $false )
| ( ( less_eq @ SV419 @ SV192 )
= $true )
| ( ( less_eq @ SV419 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3091]) ).
thf(3226,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( ~ ( less_eq @ SV193 @ SV375 ) )
= $true )
| ( ( less_eq @ SV375 @ SV420 )
= $true )
| ( ( less_eq @ SV193 @ SV375 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3094]) ).
thf(3227,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( less_eq @ SV193 @ SV375 )
= $false )
| ( ( less_eq @ SV375 @ SV420 )
= $true )
| ( ( less_eq @ SV375 @ SV420 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3095]) ).
thf(3228,plain,
! [SV538: a,SV195: set_a,SV616: a] :
( ( ( ~ ( member_a @ SV616 @ SV195 )
| ( less_eq @ SV616 @ SV538 ) )
= $true )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3097]) ).
thf(3229,plain,
! [SV538: a,SV195: set_a] :
( ( ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
| ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) )
= $false )
| ( ( member_a @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV195 )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3098]) ).
thf(3230,plain,
! [SV538: a,SV195: set_a] :
( ( ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 ) )
= $false )
| ( ( less_eq @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3099]) ).
thf(3231,plain,
! [SV538: a,SV195: set_a] :
( ( ( ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) )
= $false )
| ( ( less_eq @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3099]) ).
thf(3232,plain,
! [SV376: a,SV581: a > $o,SV196: a > $o] :
( ( ( SV196 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) )
= $true )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3100]) ).
thf(3233,plain,
! [SV376: a,SV581: a > $o,SV196: a > $o] :
( ( ( ~ ( ~ ! [SY1240: a] :
( ~ ( SV196 @ SY1240 )
| ( less_eq @ SY1240 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) )
| ~ ~ ( SV581 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) ) )
= $true )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3101]) ).
thf(3234,plain,
! [SV376: a,SV586: a > $o,SV196: a > $o] :
( ( ( ~ ( SV196 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) )
= $false )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3102]) ).
thf(3235,plain,
! [SV376: a,SV586: a > $o,SV196: a > $o] :
( ( ( ~ ~ ( ~ ! [SY1246: a] :
( ~ ( SV196 @ SY1246 )
| ( less_eq @ SY1246 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) )
| ~ ~ ( SV586 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) ) )
= $false )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3102]) ).
thf(3236,plain,
! [SV198: set_a,SV606: a] :
( ( ( ~ ( member_a @ SV606 @ SV198 ) )
= $true )
| ( ( less_eq @ SV606 @ ( sK76_SY987 @ SV198 ) )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3103]) ).
thf(3237,plain,
! [SV567: a,SV198: set_a] :
( ( ( ~ ( condit1627435690bove_a @ less_eq @ SV198 ) )
= $false )
| ( ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3104]) ).
thf(3238,plain,
! [SV567: a,SV198: set_a] :
( ( ( ~ ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $false )
| ( ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3104]) ).
thf(3239,plain,
! [SV567: a,SV198: set_a] :
( ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $true )
| ( ( less_eq @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV567 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3105]) ).
thf(3240,plain,
! [SV567: a,SV198: set_a] :
( ( ( ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $true )
| ( ( less_eq @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV567 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3106]) ).
thf(3241,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3107]) ).
thf(3242,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $true )
| ( ( less_eq @ SV199 @ SV377 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3108]) ).
thf(3243,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) )
= $true )
| ( ( less_eq @ SV199 @ SV377 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3109]) ).
thf(3244,plain,
! [SV199: a,SV421: a,SV473: a,SV377: a] :
( ( ( less_eq @ SV377 @ SV473 )
= $false )
| ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3110]) ).
thf(3245,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( SV201 = SV422 )
= $true )
| ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3111]) ).
thf(3246,plain,
! [SV201: a,SV422: a,SV378: set_a] :
( ( ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) )
= $true )
| ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3112]) ).
thf(3247,plain,
! [SV422: a,SV378: set_a,SV201: a] :
( ( ( ( ( insert_a @ SV201 @ SV378 )
!= ( insert_a @ SV422 @ bot_bot_set_a ) ) )
= $false )
| ( ( SV201 = SV422 )
= $false )
| ( ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3113]) ).
thf(3248,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( ~ ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( SV201 = SV422 )
= $false )
| ( ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3113]) ).
thf(3249,plain,
! [SV474: set_a,SV379: set_a,SV607: a] :
( ( ( ~ ( member_a @ SV607 @ SV379 ) )
= $true )
| ( ( member_a @ SV607 @ SV474 )
= $true )
| ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3114]) ).
thf(3250,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV379 @ SV474 ) )
= $false )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV379 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3115]) ).
thf(3251,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ~ ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) )
= $false )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV379 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3115]) ).
thf(3252,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= $true )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV474 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3116]) ).
thf(3253,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) )
= $true )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV474 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3117]) ).
thf(3254,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( member_set_a @ SV203 @ SV424 )
= $true )
| ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3118]) ).
thf(3255,plain,
! [SV203: set_a,SV424: set_set_a,SV380: set_set_a] :
( ( ( ord_le318720350_set_a @ SV380 @ SV424 )
= $true )
| ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3119]) ).
thf(3256,plain,
! [SV424: set_set_a,SV380: set_set_a,SV203: set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 ) )
= $false )
| ( ( member_set_a @ SV203 @ SV424 )
= $false )
| ( ( ord_le318720350_set_a @ SV380 @ SV424 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3120]) ).
thf(3257,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( ~ ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) )
= $false )
| ( ( member_set_a @ SV203 @ SV424 )
= $false )
| ( ( ord_le318720350_set_a @ SV380 @ SV424 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3120]) ).
thf(3258,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( less_eq @ SV381 @ SV204 )
= $true )
| ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3121]) ).
thf(3259,plain,
! [SV381: a,SV425: a,SV204: a] :
( ( ( less_eq @ SV204 @ SV425 )
= $true )
| ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3122]) ).
thf(3260,plain,
! [SV425: a,SV381: a,SV204: a] :
( ( ( ~ ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) ) )
= $false )
| ( ( less_eq @ SV381 @ SV204 )
= $false )
| ( ( less_eq @ SV204 @ SV425 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3123]) ).
thf(3261,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) )
= $false )
| ( ( less_eq @ SV381 @ SV204 )
= $false )
| ( ( less_eq @ SV204 @ SV425 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3123]) ).
thf(3262,plain,
! [SV475: set_set_a,SV382: set_set_a,SV608: set_a] :
( ( ( ~ ( member_set_a @ SV608 @ SV382 ) )
= $true )
| ( ( member_set_a @ SV608 @ SV475 )
= $true )
| ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3124]) ).
thf(3263,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV382 @ SV475 ) )
= $false )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV382 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3125]) ).
thf(3264,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ~ ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) )
= $false )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV382 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3125]) ).
thf(3265,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= $true )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV475 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3126]) ).
thf(3266,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) )
= $true )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV475 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3127]) ).
thf(3267,plain,
! [SV206: a > set_a,SV617: a] :
( ( ( ! [SY1257: a] :
( ~ ( less_eq @ SV617 @ SY1257 )
| ( ord_less_eq_set_a @ ( SV206 @ SY1257 ) @ ( SV206 @ SV617 ) ) ) )
= $true )
| ( ( less_eq @ ( sK61_SY1006 @ SV206 ) @ ( sK64_SY1233 @ SV206 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3130]) ).
thf(3268,plain,
! [SV206: a > set_a,SV618: a,SV609: a] :
( ( ( ~ ( less_eq @ SV609 @ SV618 )
| ( ord_less_eq_set_a @ ( SV206 @ SV618 ) @ ( SV206 @ SV609 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV206 @ ( sK64_SY1233 @ SV206 ) ) @ ( SV206 @ ( sK61_SY1006 @ SV206 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3131]) ).
thf(3269,plain,
! [SV384: a,SV583: a > $o,SV208: a > $o] :
( ( ( SV208 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) )
= $true )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3132]) ).
thf(3270,plain,
! [SV384: a,SV583: a > $o,SV208: a > $o] :
( ( ( ~ ( ~ ! [SY1242: a] :
( ~ ( SV208 @ SY1242 )
| ( less_eq @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) @ SY1242 ) )
| ~ ~ ( SV583 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) ) ) )
= $true )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3133]) ).
thf(3271,plain,
! [SV384: a,SV588: a > $o,SV208: a > $o] :
( ( ( ~ ( SV208 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) ) )
= $false )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3134]) ).
thf(3272,plain,
! [SV384: a,SV588: a > $o,SV208: a > $o] :
( ( ( ~ ~ ( ~ ! [SY1248: a] :
( ~ ( SV208 @ SY1248 )
| ( less_eq @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) @ SY1248 ) )
| ~ ~ ( SV588 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) ) ) )
= $false )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3134]) ).
thf(3273,plain,
! [SV476: a,SV385: a] :
( ( ( ~ ( less_eq @ SV385 @ SV476 ) )
= $false )
| ( ( SV385 = SV476 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3135]) ).
thf(3274,plain,
! [SV385: a,SV476: a] :
( ( ( ~ ( less_eq @ SV476 @ SV385 ) )
= $false )
| ( ( SV385 = SV476 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3135]) ).
thf(3275,plain,
! [SV476: a,SV385: a] :
( ( ( ( SV385 != SV476 )
| ~ ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) )
= $false )
| ( ( less_eq @ SV385 @ SV476 )
= $false )
| ( ( less_eq @ SV476 @ SV385 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3136]) ).
thf(3276,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( less_eq @ SV210 @ SV428 )
= $true )
| ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3137]) ).
thf(3277,plain,
! [SV210: a,SV428: a,SV386: a] :
( ( ( less_eq @ SV386 @ SV428 )
= $true )
| ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3138]) ).
thf(3278,plain,
! [SV428: a,SV386: a,SV210: a] :
( ( ( ~ ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 ) )
= $false )
| ( ( less_eq @ SV210 @ SV428 )
= $false )
| ( ( less_eq @ SV386 @ SV428 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3139]) ).
thf(3279,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) )
= $false )
| ( ( less_eq @ SV210 @ SV428 )
= $false )
| ( ( less_eq @ SV386 @ SV428 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3139]) ).
thf(3280,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( less_eq @ SV212 @ SV429 )
= $true )
| ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3140]) ).
thf(3281,plain,
! [SV212: a,SV429: a,SV388: a] :
( ( ( less_eq @ SV388 @ SV429 )
= $true )
| ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3141]) ).
thf(3282,plain,
! [SV429: a,SV388: a,SV212: a] :
( ( ( ~ ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 ) )
= $false )
| ( ( less_eq @ SV212 @ SV429 )
= $false )
| ( ( less_eq @ SV388 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3142]) ).
thf(3283,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) )
= $false )
| ( ( less_eq @ SV212 @ SV429 )
= $false )
| ( ( less_eq @ SV388 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3142]) ).
thf(3284,plain,
! [SV213: a > a > a,SV619: a] :
( ( ( ! [SY1258: a] :
( ( inf @ SV619 @ SY1258 )
= ( SV213 @ SV619 @ SY1258 ) ) )
= $true )
| ( ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3143]) ).
thf(3285,plain,
! [SV213: a > a > a] :
( ( ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) )
= $false )
| ( ( ! [SY1019: a,SY1020: a] :
( ( inf @ SY1019 @ SY1020 )
= ( SV213 @ SY1019 @ SY1020 ) ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3144]) ).
thf(3286,plain,
! [SV479: a,SV389: a] :
( ( ( ~ ( less_eq @ SV389 @ SV479 ) )
= $false )
| ( ( SV389 = SV479 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3145]) ).
thf(3287,plain,
! [SV389: a,SV479: a] :
( ( ( ~ ( less_eq @ SV479 @ SV389 ) )
= $false )
| ( ( SV389 = SV479 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3145]) ).
thf(3288,plain,
! [SV479: a,SV389: a] :
( ( ( ( SV389 != SV479 )
| ~ ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) )
= $false )
| ( ( less_eq @ SV389 @ SV479 )
= $false )
| ( ( less_eq @ SV479 @ SV389 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3146]) ).
thf(3289,plain,
! [SV432: a,SV602: a,SV217: a > $o] :
( ( ( SV217 @ SV602 )
= $false )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
| ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3147]) ).
thf(3290,plain,
! [SV432: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
= $false )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3148]) ).
thf(3291,plain,
! [SV217: a > $o,SV432: a] :
( ( ( ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
= $false )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3148]) ).
thf(3292,plain,
! [SV432: a,SV217: a > $o] :
( ( ( SV217 @ SV432 )
= $false )
| ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3149]) ).
thf(3293,plain,
! [SV217: a > $o,SV432: a] :
( ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3150]) ).
thf(3294,plain,
! [SV433: a,SV603: a,SV218: a > $o] :
( ( ( SV218 @ SV603 )
= $false )
| ( ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SV603 )
= $true )
| ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
| ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3151]) ).
thf(3295,plain,
! [SV433: a,SV218: a > $o] :
( ( ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
= $false )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3152]) ).
thf(3296,plain,
! [SV218: a > $o,SV433: a] :
( ( ( ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
= $false )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3152]) ).
thf(3297,plain,
! [SV433: a,SV218: a > $o] :
( ( ( SV218 @ SV433 )
= $false )
| ( ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( ( sK32_Y2 @ SV433 @ SV218 )
= SV433 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3153]) ).
thf(3298,plain,
! [SV218: a > $o,SV433: a] :
( ( ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) )
= $false )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( ( sK32_Y2 @ SV433 @ SV218 )
= SV433 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3154]) ).
thf(3299,plain,
! [SV390: a > $o,SV620: a,SV221: a > $o] :
( ( ( ~ ( SV221 @ SV620 )
| ( SV390 @ SV620 ) )
= $true )
| ( ( SV221 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3158]) ).
thf(3300,plain,
! [SV390: a > $o,SV610: a,SV221: a > $o] :
( ( ( ~ ( SV221 @ SV610 ) )
= $true )
| ( ( SV390 @ SV610 )
= $true )
| ( ( SV390 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3159]) ).
thf(3301,plain,
! [SV222: set_a,SV480: a,SV591: a] :
( ( ( ~ ( less_eq @ SV591 @ ( sK19_X2 @ SV480 @ SV222 ) ) )
= $true )
| ( ( ( sK19_X2 @ SV480 @ SV222 )
= SV591 )
= $true )
| ( ( member_a @ SV591 @ SV222 )
= $false )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3160]) ).
thf(3302,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( less_eq @ SV223 @ SV391 )
= $true )
| ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3163]) ).
thf(3303,plain,
! [SV391: a,SV434: a,SV223: a] :
( ( ( less_eq @ SV223 @ SV434 )
= $true )
| ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3164]) ).
thf(3304,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) ) )
= $false )
| ( ( less_eq @ SV223 @ SV391 )
= $false )
| ( ( less_eq @ SV223 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3165]) ).
thf(3305,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) )
= $false )
| ( ( less_eq @ SV223 @ SV391 )
= $false )
| ( ( less_eq @ SV223 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3165]) ).
thf(3306,plain,
! [SV392: a,SV481: a] :
( ( ( ~ ( less_eq @ SV481 @ SV392 ) )
= $false )
| ( ( SV392 = SV481 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3166]) ).
thf(3307,plain,
! [SV481: a,SV392: a] :
( ( ( ~ ( less_eq @ SV392 @ SV481 ) )
= $false )
| ( ( SV392 = SV481 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3166]) ).
thf(3308,plain,
! [SV481: a,SV392: a] :
( ( ( ( SV392 != SV481 )
| ~ ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) )
= $false )
| ( ( less_eq @ SV481 @ SV392 )
= $false )
| ( ( less_eq @ SV392 @ SV481 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3167]) ).
thf(3309,plain,
! [SV225: a > set_a,SV621: a] :
( ( ( ! [SY1259: a] :
( ~ ( less_eq @ SV621 @ SY1259 )
| ( ord_less_eq_set_a @ ( SV225 @ SV621 ) @ ( SV225 @ SY1259 ) ) ) )
= $true )
| ( ( less_eq @ ( sK62_SY1046 @ SV225 ) @ ( sK66_SY1234 @ SV225 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3170]) ).
thf(3310,plain,
! [SV225: a > set_a,SV622: a,SV611: a] :
( ( ( ~ ( less_eq @ SV611 @ SV622 )
| ( ord_less_eq_set_a @ ( SV225 @ SV611 ) @ ( SV225 @ SV622 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV225 @ ( sK62_SY1046 @ SV225 ) ) @ ( SV225 @ ( sK66_SY1234 @ SV225 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3171]) ).
thf(3311,plain,
! [SV593: a,SV227: set_a,SV482: a] :
( ( ( ~ ( less_eq @ ( sK20_X2 @ SV482 @ SV227 ) @ SV593 ) )
= $true )
| ( ( ( sK20_X2 @ SV482 @ SV227 )
= SV593 )
= $true )
| ( ( member_a @ SV593 @ SV227 )
= $false )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3172]) ).
thf(3312,plain,
! [SV228: set_set_a,SV569: set_a] :
( ( ( ~ ( member_set_a @ ( sK81_SY1051 @ SV569 @ SV228 ) @ SV228 ) )
= $false )
| ( ( member_set_a @ SV569 @ SV228 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3175]) ).
thf(3313,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 ) )
= $false )
| ( ( SV394 = SV483 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3178]) ).
thf(3314,plain,
! [SV394: set_a,SV483: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) )
= $false )
| ( ( SV394 = SV483 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3178]) ).
thf(3315,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ( SV394 != SV483 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $false )
| ( ( ord_less_eq_set_a @ SV483 @ SV394 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3179]) ).
thf(3316,plain,
! [SV484: set_set_a,SV395: set_set_a,SV612: set_a] :
( ( ( ~ ( member_set_a @ SV612 @ SV395 ) )
= $true )
| ( ( member_set_a @ SV612 @ SV484 )
= $true )
| ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3180]) ).
thf(3317,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV395 @ SV484 ) )
= $false )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV395 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3181]) ).
thf(3318,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ~ ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) )
= $false )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV395 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3181]) ).
thf(3319,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= $true )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV484 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3182]) ).
thf(3320,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) )
= $true )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV484 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3183]) ).
thf(3321,plain,
! [SV232: a > a > a,SV623: a] :
( ( ( ! [SY1260: a] :
( ( sup @ SV623 @ SY1260 )
= ( SV232 @ SV623 @ SY1260 ) ) )
= $true )
| ( ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3184]) ).
thf(3322,plain,
! [SV232: a > a > a] :
( ( ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) )
= $false )
| ( ( ! [SY1056: a,SY1057: a] :
( ( sup @ SY1056 @ SY1057 )
= ( SV232 @ SY1056 @ SY1057 ) ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3185]) ).
thf(3323,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
= $false )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3186]) ).
thf(3324,plain,
! [SV439: a,SV236: a,SV485: a,SV396: a] :
( ( ( SV396 = SV485 )
= $false )
| ( ( SV236 = SV439 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3187]) ).
thf(3325,plain,
! [SV485: a,SV236: a,SV439: a,SV396: a] :
( ( ( SV396 = SV439 )
= $false )
| ( ( SV236 = SV485 )
= $false )
| ( ( ~ ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3188]) ).
thf(3326,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( member_a @ SV237 @ SV440 )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3189]) ).
thf(3327,plain,
! [SV237: a,SV440: set_a,SV397: set_a] :
( ( ( ord_less_eq_set_a @ SV397 @ SV440 )
= $true )
| ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3190]) ).
thf(3328,plain,
! [SV440: set_a,SV397: set_a,SV237: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 ) )
= $false )
| ( ( member_a @ SV237 @ SV440 )
= $false )
| ( ( ord_less_eq_set_a @ SV397 @ SV440 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3191]) ).
thf(3329,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( ~ ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) )
= $false )
| ( ( member_a @ SV237 @ SV440 )
= $false )
| ( ( ord_less_eq_set_a @ SV397 @ SV440 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3191]) ).
thf(3330,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( SV398 = SV238 )
= $true )
| ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3192]) ).
thf(3331,plain,
! [SV398: a,SV238: a,SV441: set_a] :
( ( ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) )
= $true )
| ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3193]) ).
thf(3332,plain,
! [SV441: set_a,SV398: a,SV238: a] :
( ( ( ( ( insert_a @ SV238 @ bot_bot_set_a )
!= ( insert_a @ SV398 @ SV441 ) ) )
= $false )
| ( ( SV398 = SV238 )
= $false )
| ( ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3194]) ).
thf(3333,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( ~ ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( SV398 = SV238 )
= $false )
| ( ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3194]) ).
thf(3334,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( SV240 = SV399 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3195]) ).
thf(3335,plain,
! [SV240: a,SV442: a,SV399: a] :
( ( ( SV399 = SV442 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3196]) ).
thf(3336,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
!= ( insert_a @ SV442 @ bot_bot_set_a ) ) )
= $false )
| ( ( SV240 = SV399 )
= $false )
| ( ( SV399 = SV442 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3197]) ).
thf(3337,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ~ ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) )
= $false )
| ( ( SV240 = SV399 )
= $false )
| ( ( SV399 = SV442 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3197]) ).
thf(3338,plain,
! [SV241: set_set_a,SV488: set_a,SV595: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV595 @ ( sK1_X2 @ SV488 @ SV241 ) ) )
= $true )
| ( ( ( sK1_X2 @ SV488 @ SV241 )
= SV595 )
= $true )
| ( ( member_set_a @ SV595 @ SV241 )
= $false )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3198]) ).
thf(3339,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( less_eq @ SV242 @ SV400 )
= $true )
| ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3201]) ).
thf(3340,plain,
! [SV400: a,SV443: a,SV242: a] :
( ( ( less_eq @ SV242 @ SV443 )
= $true )
| ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3202]) ).
thf(3341,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) ) )
= $false )
| ( ( less_eq @ SV242 @ SV400 )
= $false )
| ( ( less_eq @ SV242 @ SV443 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3203]) ).
thf(3342,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) )
= $false )
| ( ( less_eq @ SV242 @ SV400 )
= $false )
| ( ( less_eq @ SV242 @ SV443 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3203]) ).
thf(3343,plain,
! [SV555: a,SV244: set_a,SV624: a] :
( ( ( ~ ( member_a @ SV624 @ SV244 )
| ( less_eq @ SV555 @ SV624 ) )
= $true )
| ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3205]) ).
thf(3344,plain,
! [SV244: set_a,SV555: a] :
( ( ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
| ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) )
= $false )
| ( ( member_a @ ( sK77_SY1232 @ SV555 @ SV244 ) @ SV244 )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3206]) ).
thf(3345,plain,
! [SV244: set_a,SV555: a] :
( ( ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) ) )
= $false )
| ( ( less_eq @ SV555 @ ( sK77_SY1232 @ SV555 @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3207]) ).
thf(3346,plain,
! [SV555: a,SV244: set_a] :
( ( ( ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) )
= $false )
| ( ( less_eq @ SV555 @ ( sK77_SY1232 @ SV555 @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3207]) ).
thf(3347,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
= $false )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3208]) ).
thf(3348,plain,
! [SV444: a,SV245: a,SV491: a,SV402: a] :
( ( ( SV402 = SV491 )
= $false )
| ( ( SV245 = SV444 )
= $false )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3209]) ).
thf(3349,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3210]) ).
thf(3350,plain,
! [SV246: set_a,SV571: a] :
( ( ( ~ ( member_a @ ( sK82_SY1083 @ SV571 @ SV246 ) @ SV246 ) )
= $false )
| ( ( member_a @ SV571 @ SV246 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3211]) ).
thf(3351,plain,
! [SV247: set_a,SV613: a] :
( ( ( ~ ( member_a @ SV613 @ SV247 ) )
= $true )
| ( ( less_eq @ ( sK78_SY1084 @ SV247 ) @ SV613 )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3214]) ).
thf(3352,plain,
! [SV572: a,SV247: set_a] :
( ( ( ~ ( condit1001553558elow_a @ less_eq @ SV247 ) )
= $false )
| ( ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3215]) ).
thf(3353,plain,
! [SV572: a,SV247: set_a] :
( ( ( ~ ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $false )
| ( ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3215]) ).
thf(3354,plain,
! [SV572: a,SV247: set_a] :
( ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $true )
| ( ( less_eq @ SV572 @ ( sK73_SY1238 @ SV572 @ SV247 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3216]) ).
thf(3355,plain,
! [SV572: a,SV247: set_a] :
( ( ( ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $true )
| ( ( less_eq @ SV572 @ ( sK73_SY1238 @ SV572 @ SV247 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3217]) ).
thf(3356,plain,
! [SV492: set_a,SV404: set_a,SV614: a] :
( ( ( ~ ( member_a @ SV614 @ SV404 ) )
= $true )
| ( ( member_a @ SV614 @ SV492 )
= $true )
| ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3218]) ).
thf(3357,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV404 @ SV492 ) )
= $false )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV404 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3219]) ).
thf(3358,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ~ ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) )
= $false )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV404 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3219]) ).
thf(3359,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= $true )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV492 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3220]) ).
thf(3360,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) )
= $true )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV492 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3221]) ).
thf(3361,plain,
! [SV625: a,SV615: a,SV339: a > a > a] :
( ( ( ! [SY1261: a] :
( ( SV339 @ ( SV339 @ SV615 @ SV625 ) @ SY1261 )
= ( SV339 @ SV615 @ ( SV339 @ SV625 @ SY1261 ) ) ) )
= $true )
| ( ( ( SV339 @ ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( sK67_SY1235 @ SV339 ) ) @ ( sK68_SY1239 @ SV339 ) )
= ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( SV339 @ ( sK67_SY1235 @ SV339 ) @ ( sK68_SY1239 @ SV339 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3223]) ).
thf(3362,plain,
! [SV419: a,SV374: a,SV192: a] :
( ( ( less_eq @ SV192 @ SV374 )
= $false )
| ( ( less_eq @ SV419 @ SV192 )
= $true )
| ( ( less_eq @ SV192 @ SV374 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3224]) ).
thf(3363,plain,
! [SV420: a,SV375: a,SV193: a] :
( ( ( less_eq @ SV193 @ SV375 )
= $false )
| ( ( less_eq @ SV375 @ SV420 )
= $true )
| ( ( less_eq @ SV193 @ SV375 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3226]) ).
thf(3364,plain,
! [SV538: a,SV195: set_a,SV616: a] :
( ( ( ~ ( member_a @ SV616 @ SV195 ) )
= $true )
| ( ( less_eq @ SV616 @ SV538 )
= $true )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3228]) ).
thf(3365,plain,
! [SV538: a,SV195: set_a] :
( ( ( ~ ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 ) )
= $false )
| ( ( member_a @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV195 )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3229]) ).
thf(3366,plain,
! [SV538: a,SV195: set_a] :
( ( ( ~ ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) )
= $false )
| ( ( member_a @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV195 )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3229]) ).
thf(3367,plain,
! [SV538: a,SV195: set_a] :
( ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= $true )
| ( ( less_eq @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3230]) ).
thf(3368,plain,
! [SV538: a,SV195: set_a] :
( ( ( ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) )
= $true )
| ( ( less_eq @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3231]) ).
thf(3369,plain,
! [SV376: a,SV581: a > $o,SV196: a > $o] :
( ( ( ~ ! [SY1240: a] :
( ~ ( SV196 @ SY1240 )
| ( less_eq @ SY1240 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) )
| ~ ~ ( SV581 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) )
= $false )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3233]) ).
thf(3370,plain,
! [SV376: a,SV586: a > $o,SV196: a > $o] :
( ( ( SV196 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) )
= $true )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3234]) ).
thf(3371,plain,
! [SV376: a,SV586: a > $o,SV196: a > $o] :
( ( ( ~ ( ~ ! [SY1246: a] :
( ~ ( SV196 @ SY1246 )
| ( less_eq @ SY1246 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) )
| ~ ~ ( SV586 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) ) )
= $true )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3235]) ).
thf(3372,plain,
! [SV198: set_a,SV606: a] :
( ( ( member_a @ SV606 @ SV198 )
= $false )
| ( ( less_eq @ SV606 @ ( sK76_SY987 @ SV198 ) )
= $true )
| ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3236]) ).
thf(3373,plain,
! [SV567: a,SV198: set_a] :
( ( ( condit1627435690bove_a @ less_eq @ SV198 )
= $true )
| ( ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3237]) ).
thf(3374,plain,
! [SV567: a,SV198: set_a] :
( ( ( ~ ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $true )
| ( ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3238]) ).
thf(3375,plain,
! [SV567: a,SV198: set_a] :
( ( ( ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $false )
| ( ( less_eq @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV567 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3240]) ).
thf(3376,plain,
! [SV473: a,SV377: a,SV199: a,SV421: a] :
( ( ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3241]) ).
thf(3377,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( less_eq @ SV199 @ SV377 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) )
= $true )
| ( ( less_eq @ SV199 @ SV377 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3243]) ).
thf(3378,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
| ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) )
= $false )
| ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( less_eq @ SV377 @ SV473 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3244]) ).
thf(3379,plain,
! [SV422: a,SV378: set_a,SV201: a] :
( ( ( ( insert_a @ SV201 @ SV378 )
= ( insert_a @ SV422 @ bot_bot_set_a ) )
= $true )
| ( ( SV201 = SV422 )
= $false )
| ( ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3247]) ).
thf(3380,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( ~ ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) ) )
= $true )
| ( ( SV201 = SV422 )
= $false )
| ( ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3248]) ).
thf(3381,plain,
! [SV474: set_a,SV379: set_a,SV607: a] :
( ( ( member_a @ SV607 @ SV379 )
= $false )
| ( ( member_a @ SV607 @ SV474 )
= $true )
| ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3249]) ).
thf(3382,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ord_less_eq_set_a @ SV379 @ SV474 )
= $true )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV379 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3250]) ).
thf(3383,plain,
! [SV474: set_a,SV379: set_a] :
( ( ( ! [SY1203: a] :
( ~ ( member_a @ SY1203 @ SV379 )
| ( member_a @ SY1203 @ SV474 ) ) )
= $true )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV379 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3251]) ).
thf(3384,plain,
! [SV474: set_a,SV379: set_a,SV626: a] :
( ( ( ~ ( member_a @ SV626 @ SV379 )
| ( member_a @ SV626 @ SV474 ) )
= $true )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV474 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3253]) ).
thf(3385,plain,
! [SV424: set_set_a,SV380: set_set_a,SV203: set_a] :
( ( ( ord_le318720350_set_a @ ( insert_set_a @ SV203 @ SV380 ) @ SV424 )
= $true )
| ( ( member_set_a @ SV203 @ SV424 )
= $false )
| ( ( ord_le318720350_set_a @ SV380 @ SV424 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3256]) ).
thf(3386,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( ~ ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) ) )
= $true )
| ( ( member_set_a @ SV203 @ SV424 )
= $false )
| ( ( ord_le318720350_set_a @ SV380 @ SV424 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3257]) ).
thf(3387,plain,
! [SV425: a,SV381: a,SV204: a] :
( ( ( member_a @ SV204 @ ( set_atLeastAtMost_a @ less_eq @ SV381 @ SV425 ) )
= $true )
| ( ( less_eq @ SV381 @ SV204 )
= $false )
| ( ( less_eq @ SV204 @ SV425 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3260]) ).
thf(3388,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( ~ ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) ) )
= $true )
| ( ( less_eq @ SV381 @ SV204 )
= $false )
| ( ( less_eq @ SV204 @ SV425 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3261]) ).
thf(3389,plain,
! [SV475: set_set_a,SV382: set_set_a,SV608: set_a] :
( ( ( member_set_a @ SV608 @ SV382 )
= $false )
| ( ( member_set_a @ SV608 @ SV475 )
= $true )
| ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3262]) ).
thf(3390,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ord_le318720350_set_a @ SV382 @ SV475 )
= $true )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV382 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3263]) ).
thf(3391,plain,
! [SV475: set_set_a,SV382: set_set_a] :
( ( ( ! [SY1204: set_a] :
( ~ ( member_set_a @ SY1204 @ SV382 )
| ( member_set_a @ SY1204 @ SV475 ) ) )
= $true )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV382 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3264]) ).
thf(3392,plain,
! [SV475: set_set_a,SV382: set_set_a,SV627: set_a] :
( ( ( ~ ( member_set_a @ SV627 @ SV382 )
| ( member_set_a @ SV627 @ SV475 ) )
= $true )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV475 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3266]) ).
thf(3393,plain,
! [SV206: a > set_a,SV628: a,SV617: a] :
( ( ( ~ ( less_eq @ SV617 @ SV628 )
| ( ord_less_eq_set_a @ ( SV206 @ SV628 ) @ ( SV206 @ SV617 ) ) )
= $true )
| ( ( less_eq @ ( sK61_SY1006 @ SV206 ) @ ( sK64_SY1233 @ SV206 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3267]) ).
thf(3394,plain,
! [SV206: a > set_a,SV618: a,SV609: a] :
( ( ( ~ ( less_eq @ SV609 @ SV618 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV206 @ SV618 ) @ ( SV206 @ SV609 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV206 @ ( sK64_SY1233 @ SV206 ) ) @ ( SV206 @ ( sK61_SY1006 @ SV206 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3268]) ).
thf(3395,plain,
! [SV384: a,SV583: a > $o,SV208: a > $o] :
( ( ( ~ ! [SY1242: a] :
( ~ ( SV208 @ SY1242 )
| ( less_eq @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) @ SY1242 ) )
| ~ ~ ( SV583 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) ) )
= $false )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3270]) ).
thf(3396,plain,
! [SV384: a,SV588: a > $o,SV208: a > $o] :
( ( ( SV208 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) )
= $true )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3271]) ).
thf(3397,plain,
! [SV384: a,SV588: a > $o,SV208: a > $o] :
( ( ( ~ ( ~ ! [SY1248: a] :
( ~ ( SV208 @ SY1248 )
| ( less_eq @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) @ SY1248 ) )
| ~ ~ ( SV588 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) ) ) )
= $true )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3272]) ).
thf(3398,plain,
! [SV476: a,SV385: a] :
( ( ( less_eq @ SV385 @ SV476 )
= $true )
| ( ( SV385 = SV476 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3273]) ).
thf(3399,plain,
! [SV385: a,SV476: a] :
( ( ( less_eq @ SV476 @ SV385 )
= $true )
| ( ( SV385 = SV476 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3274]) ).
thf(3400,plain,
! [SV476: a,SV385: a] :
( ( ( ( SV385 != SV476 ) )
= $false )
| ( ( less_eq @ SV385 @ SV476 )
= $false )
| ( ( less_eq @ SV476 @ SV385 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3275]) ).
thf(3401,plain,
! [SV476: a,SV385: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) )
= $false )
| ( ( less_eq @ SV385 @ SV476 )
= $false )
| ( ( less_eq @ SV476 @ SV385 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3275]) ).
thf(3402,plain,
! [SV428: a,SV386: a,SV210: a] :
( ( ( less_eq @ ( sup @ SV210 @ SV386 ) @ SV428 )
= $true )
| ( ( less_eq @ SV210 @ SV428 )
= $false )
| ( ( less_eq @ SV386 @ SV428 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3278]) ).
thf(3403,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( ~ ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) ) )
= $true )
| ( ( less_eq @ SV210 @ SV428 )
= $false )
| ( ( less_eq @ SV386 @ SV428 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3279]) ).
thf(3404,plain,
! [SV429: a,SV388: a,SV212: a] :
( ( ( less_eq @ ( sup @ SV212 @ SV388 ) @ SV429 )
= $true )
| ( ( less_eq @ SV212 @ SV429 )
= $false )
| ( ( less_eq @ SV388 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3282]) ).
thf(3405,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( ~ ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) ) )
= $true )
| ( ( less_eq @ SV212 @ SV429 )
= $false )
| ( ( less_eq @ SV388 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3283]) ).
thf(3406,plain,
! [SV213: a > a > a,SV629: a,SV619: a] :
( ( ( ( inf @ SV619 @ SV629 )
= ( SV213 @ SV619 @ SV629 ) )
= $true )
| ( ( less_eq @ ( sK43_X2 @ SV213 ) @ ( sK45_SY745 @ SV213 ) )
= $true )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3284]) ).
thf(3407,plain,
! [SV213: a > a > a,SV630: a] :
( ( ( ! [SY1262: a] :
( ( inf @ SV630 @ SY1262 )
= ( SV213 @ SV630 @ SY1262 ) ) )
= $true )
| ( ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3285]) ).
thf(3408,plain,
! [SV479: a,SV389: a] :
( ( ( less_eq @ SV389 @ SV479 )
= $true )
| ( ( SV389 = SV479 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3286]) ).
thf(3409,plain,
! [SV389: a,SV479: a] :
( ( ( less_eq @ SV479 @ SV389 )
= $true )
| ( ( SV389 = SV479 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3287]) ).
thf(3410,plain,
! [SV479: a,SV389: a] :
( ( ( ( SV389 != SV479 ) )
= $false )
| ( ( less_eq @ SV389 @ SV479 )
= $false )
| ( ( less_eq @ SV479 @ SV389 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3288]) ).
thf(3411,plain,
! [SV479: a,SV389: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) )
= $false )
| ( ( less_eq @ SV389 @ SV479 )
= $false )
| ( ( less_eq @ SV479 @ SV389 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3288]) ).
thf(3412,plain,
! [SV602: a,SV432: a,SV217: a > $o] :
( ( ( ~ ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) ) )
= $true )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3289]) ).
thf(3413,plain,
! [SV432: a,SV217: a > $o] :
( ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3290]) ).
thf(3414,plain,
! [SV217: a > $o,SV432: a] :
( ( ( ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
= $true )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3291]) ).
thf(3415,plain,
! [SV432: a,SV631: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV631 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV631 ) )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3292]) ).
thf(3416,plain,
! [SV432: a,SV217: a > $o] :
( ( ( SV217 @ SV432 )
= $false )
| ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3293]) ).
thf(3417,plain,
! [SV603: a,SV433: a,SV218: a > $o] :
( ( ( ~ ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) ) )
= $true )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SV603 )
= $true )
| ( ( SV218 @ SV603 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3294]) ).
thf(3418,plain,
! [SV433: a,SV218: a > $o] :
( ( ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3295]) ).
thf(3419,plain,
! [SV218: a > $o,SV433: a] :
( ( ( ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
= $true )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3296]) ).
thf(3420,plain,
! [SV433: a,SV218: a > $o] :
( ( ( SV218 @ SV433 )
= $false )
| ( ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) )
= $false )
| ( ( ( sK32_Y2 @ SV433 @ SV218 )
= SV433 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3298]) ).
thf(3421,plain,
! [SV390: a > $o,SV620: a,SV221: a > $o] :
( ( ( ~ ( SV221 @ SV620 ) )
= $true )
| ( ( SV390 @ SV620 )
= $true )
| ( ( SV221 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3299]) ).
thf(3422,plain,
! [SV390: a > $o,SV610: a,SV221: a > $o] :
( ( ( SV221 @ SV610 )
= $false )
| ( ( SV390 @ SV610 )
= $true )
| ( ( SV390 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3300]) ).
thf(3423,plain,
! [SV222: set_a,SV480: a,SV591: a] :
( ( ( less_eq @ SV591 @ ( sK19_X2 @ SV480 @ SV222 ) )
= $false )
| ( ( ( sK19_X2 @ SV480 @ SV222 )
= SV591 )
= $true )
| ( ( member_a @ SV591 @ SV222 )
= $false )
| ( ( member_a @ SV480 @ SV222 )
= $false )
| ( ( finite_finite_a @ SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3301]) ).
thf(3424,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( less_eq @ SV223 @ ( inf @ SV391 @ SV434 ) )
= $true )
| ( ( less_eq @ SV223 @ SV391 )
= $false )
| ( ( less_eq @ SV223 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3304]) ).
thf(3425,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) ) )
= $true )
| ( ( less_eq @ SV223 @ SV391 )
= $false )
| ( ( less_eq @ SV223 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3305]) ).
thf(3426,plain,
! [SV392: a,SV481: a] :
( ( ( less_eq @ SV481 @ SV392 )
= $true )
| ( ( SV392 = SV481 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3306]) ).
thf(3427,plain,
! [SV481: a,SV392: a] :
( ( ( less_eq @ SV392 @ SV481 )
= $true )
| ( ( SV392 = SV481 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3307]) ).
thf(3428,plain,
! [SV481: a,SV392: a] :
( ( ( ( SV392 != SV481 ) )
= $false )
| ( ( less_eq @ SV481 @ SV392 )
= $false )
| ( ( less_eq @ SV392 @ SV481 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3308]) ).
thf(3429,plain,
! [SV392: a,SV481: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) )
= $false )
| ( ( less_eq @ SV481 @ SV392 )
= $false )
| ( ( less_eq @ SV392 @ SV481 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3308]) ).
thf(3430,plain,
! [SV225: a > set_a,SV632: a,SV621: a] :
( ( ( ~ ( less_eq @ SV621 @ SV632 )
| ( ord_less_eq_set_a @ ( SV225 @ SV621 ) @ ( SV225 @ SV632 ) ) )
= $true )
| ( ( less_eq @ ( sK62_SY1046 @ SV225 ) @ ( sK66_SY1234 @ SV225 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3309]) ).
thf(3431,plain,
! [SV225: a > set_a,SV622: a,SV611: a] :
( ( ( ~ ( less_eq @ SV611 @ SV622 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV225 @ SV611 ) @ ( SV225 @ SV622 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV225 @ ( sK62_SY1046 @ SV225 ) ) @ ( SV225 @ ( sK66_SY1234 @ SV225 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3310]) ).
thf(3432,plain,
! [SV593: a,SV227: set_a,SV482: a] :
( ( ( less_eq @ ( sK20_X2 @ SV482 @ SV227 ) @ SV593 )
= $false )
| ( ( ( sK20_X2 @ SV482 @ SV227 )
= SV593 )
= $true )
| ( ( member_a @ SV593 @ SV227 )
= $false )
| ( ( member_a @ SV482 @ SV227 )
= $false )
| ( ( finite_finite_a @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3311]) ).
thf(3433,plain,
! [SV228: set_set_a,SV569: set_a] :
( ( ( member_set_a @ ( sK81_SY1051 @ SV569 @ SV228 ) @ SV228 )
= $true )
| ( ( member_set_a @ SV569 @ SV228 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3312]) ).
thf(3434,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $true )
| ( ( SV394 = SV483 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3313]) ).
thf(3435,plain,
! [SV394: set_a,SV483: set_a] :
( ( ( ord_less_eq_set_a @ SV483 @ SV394 )
= $true )
| ( ( SV394 = SV483 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3314]) ).
thf(3436,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ( SV394 != SV483 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $false )
| ( ( ord_less_eq_set_a @ SV483 @ SV394 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3315]) ).
thf(3437,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $false )
| ( ( ord_less_eq_set_a @ SV483 @ SV394 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3315]) ).
thf(3438,plain,
! [SV484: set_set_a,SV395: set_set_a,SV612: set_a] :
( ( ( member_set_a @ SV612 @ SV395 )
= $false )
| ( ( member_set_a @ SV612 @ SV484 )
= $true )
| ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3316]) ).
thf(3439,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ord_le318720350_set_a @ SV395 @ SV484 )
= $true )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV395 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3317]) ).
thf(3440,plain,
! [SV484: set_set_a,SV395: set_set_a] :
( ( ( ! [SY1209: set_a] :
( ~ ( member_set_a @ SY1209 @ SV395 )
| ( member_set_a @ SY1209 @ SV484 ) ) )
= $true )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV395 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3318]) ).
thf(3441,plain,
! [SV484: set_set_a,SV395: set_set_a,SV633: set_a] :
( ( ( ~ ( member_set_a @ SV633 @ SV395 )
| ( member_set_a @ SV633 @ SV484 ) )
= $true )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV484 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3320]) ).
thf(3442,plain,
! [SV232: a > a > a,SV634: a,SV623: a] :
( ( ( ( sup @ SV623 @ SV634 )
= ( SV232 @ SV623 @ SV634 ) )
= $true )
| ( ( less_eq @ ( sK38_SY740 @ SV232 ) @ ( sK36_X2 @ SV232 ) )
= $true )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3321]) ).
thf(3443,plain,
! [SV232: a > a > a,SV635: a] :
( ( ( ! [SY1263: a] :
( ( sup @ SV635 @ SY1263 )
= ( SV232 @ SV635 @ SY1263 ) ) )
= $true )
| ( ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) )
= $false )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3322]) ).
thf(3444,plain,
! [SV396: a,SV485: a,SV439: a,SV236: a] :
( ( ( ( SV236 != SV439 ) )
= $false )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3323]) ).
thf(3445,plain,
! [SV439: a,SV236: a,SV485: a,SV396: a] :
( ( ( ( SV396 != SV485 ) )
= $false )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3323]) ).
thf(3446,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) )
= $false )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3324]) ).
thf(3447,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
| ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) )
= $false )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3325]) ).
thf(3448,plain,
! [SV440: set_a,SV397: set_a,SV237: a] :
( ( ( ord_less_eq_set_a @ ( insert_a @ SV237 @ SV397 ) @ SV440 )
= $true )
| ( ( member_a @ SV237 @ SV440 )
= $false )
| ( ( ord_less_eq_set_a @ SV397 @ SV440 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3328]) ).
thf(3449,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( ~ ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) ) )
= $true )
| ( ( member_a @ SV237 @ SV440 )
= $false )
| ( ( ord_less_eq_set_a @ SV397 @ SV440 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3329]) ).
thf(3450,plain,
! [SV441: set_a,SV398: a,SV238: a] :
( ( ( ( insert_a @ SV238 @ bot_bot_set_a )
= ( insert_a @ SV398 @ SV441 ) )
= $true )
| ( ( SV398 = SV238 )
= $false )
| ( ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3332]) ).
thf(3451,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( ~ ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) ) )
= $true )
| ( ( SV398 = SV238 )
= $false )
| ( ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3333]) ).
thf(3452,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV240 @ SV399 )
= ( insert_a @ SV442 @ bot_bot_set_a ) )
= $true )
| ( ( SV240 = SV399 )
= $false )
| ( ( SV399 = SV442 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3336]) ).
thf(3453,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ~ ( ( SV240 != SV399 )
| ( SV399 != SV442 ) ) )
= $true )
| ( ( SV240 = SV399 )
= $false )
| ( ( SV399 = SV442 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3337]) ).
thf(3454,plain,
! [SV241: set_set_a,SV488: set_a,SV595: set_a] :
( ( ( ord_less_eq_set_a @ SV595 @ ( sK1_X2 @ SV488 @ SV241 ) )
= $false )
| ( ( ( sK1_X2 @ SV488 @ SV241 )
= SV595 )
= $true )
| ( ( member_set_a @ SV595 @ SV241 )
= $false )
| ( ( member_set_a @ SV488 @ SV241 )
= $false )
| ( ( finite_finite_set_a @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3338]) ).
thf(3455,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( less_eq @ SV242 @ ( inf @ SV400 @ SV443 ) )
= $true )
| ( ( less_eq @ SV242 @ SV400 )
= $false )
| ( ( less_eq @ SV242 @ SV443 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3341]) ).
thf(3456,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) ) )
= $true )
| ( ( less_eq @ SV242 @ SV400 )
= $false )
| ( ( less_eq @ SV242 @ SV443 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3342]) ).
thf(3457,plain,
! [SV555: a,SV244: set_a,SV624: a] :
( ( ( ~ ( member_a @ SV624 @ SV244 ) )
= $true )
| ( ( less_eq @ SV555 @ SV624 )
= $true )
| ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3343]) ).
thf(3458,plain,
! [SV244: set_a,SV555: a] :
( ( ( ~ ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) ) )
= $false )
| ( ( member_a @ ( sK77_SY1232 @ SV555 @ SV244 ) @ SV244 )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3344]) ).
thf(3459,plain,
! [SV555: a,SV244: set_a] :
( ( ( ~ ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) )
= $false )
| ( ( member_a @ ( sK77_SY1232 @ SV555 @ SV244 ) @ SV244 )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3344]) ).
thf(3460,plain,
! [SV244: set_a,SV555: a] :
( ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= $true )
| ( ( less_eq @ SV555 @ ( sK77_SY1232 @ SV555 @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3345]) ).
thf(3461,plain,
! [SV555: a,SV244: set_a] :
( ( ( ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) )
= $true )
| ( ( less_eq @ SV555 @ ( sK77_SY1232 @ SV555 @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3346]) ).
thf(3462,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ( SV245 != SV444 ) )
= $false )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3347]) ).
thf(3463,plain,
! [SV444: a,SV245: a,SV491: a,SV402: a] :
( ( ( ( SV402 != SV491 ) )
= $false )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3347]) ).
thf(3464,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) )
= $false )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3348]) ).
thf(3465,plain,
! [SV402: a,SV245: a,SV491: a,SV444: a] :
( ( ( ~ ( less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3349]) ).
thf(3466,plain,
! [SV246: set_a,SV571: a] :
( ( ( member_a @ ( sK82_SY1083 @ SV571 @ SV246 ) @ SV246 )
= $true )
| ( ( member_a @ SV571 @ SV246 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3350]) ).
thf(3467,plain,
! [SV247: set_a,SV613: a] :
( ( ( member_a @ SV613 @ SV247 )
= $false )
| ( ( less_eq @ ( sK78_SY1084 @ SV247 ) @ SV613 )
= $true )
| ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3351]) ).
thf(3468,plain,
! [SV572: a,SV247: set_a] :
( ( ( condit1001553558elow_a @ less_eq @ SV247 )
= $true )
| ( ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3352]) ).
thf(3469,plain,
! [SV572: a,SV247: set_a] :
( ( ( ~ ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $true )
| ( ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3353]) ).
thf(3470,plain,
! [SV572: a,SV247: set_a] :
( ( ( ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $false )
| ( ( less_eq @ SV572 @ ( sK73_SY1238 @ SV572 @ SV247 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3355]) ).
thf(3471,plain,
! [SV492: set_a,SV404: set_a,SV614: a] :
( ( ( member_a @ SV614 @ SV404 )
= $false )
| ( ( member_a @ SV614 @ SV492 )
= $true )
| ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3356]) ).
thf(3472,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ord_less_eq_set_a @ SV404 @ SV492 )
= $true )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV404 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3357]) ).
thf(3473,plain,
! [SV492: set_a,SV404: set_a] :
( ( ( ! [SY1215: a] :
( ~ ( member_a @ SY1215 @ SV404 )
| ( member_a @ SY1215 @ SV492 ) ) )
= $true )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV404 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3358]) ).
thf(3474,plain,
! [SV492: set_a,SV404: set_a,SV636: a] :
( ( ( ~ ( member_a @ SV636 @ SV404 )
| ( member_a @ SV636 @ SV492 ) )
= $true )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV492 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3360]) ).
thf(3475,plain,
! [SV637: a,SV625: a,SV615: a,SV339: a > a > a] :
( ( ( ( SV339 @ ( SV339 @ SV615 @ SV625 ) @ SV637 )
= ( SV339 @ SV615 @ ( SV339 @ SV625 @ SV637 ) ) )
= $true )
| ( ( ( SV339 @ ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( sK67_SY1235 @ SV339 ) ) @ ( sK68_SY1239 @ SV339 ) )
= ( SV339 @ ( sK63_SY1133 @ SV339 ) @ ( SV339 @ ( sK67_SY1235 @ SV339 ) @ ( sK68_SY1239 @ SV339 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3361]) ).
thf(3476,plain,
! [SV538: a,SV195: set_a,SV616: a] :
( ( ( member_a @ SV616 @ SV195 )
= $false )
| ( ( less_eq @ SV616 @ SV538 )
= $true )
| ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3364]) ).
thf(3477,plain,
! [SV538: a,SV195: set_a] :
( ( ( less_eq @ ( lattic1781219155_fin_a @ sup @ SV195 ) @ SV538 )
= $true )
| ( ( member_a @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV195 )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3365]) ).
thf(3478,plain,
! [SV538: a,SV195: set_a] :
( ( ( ! [SY1223: a] :
( ~ ( member_a @ SY1223 @ SV195 )
| ( less_eq @ SY1223 @ SV538 ) ) )
= $true )
| ( ( member_a @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV195 )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3366]) ).
thf(3479,plain,
! [SV538: a,SV195: set_a,SV638: a] :
( ( ( ~ ( member_a @ SV638 @ SV195 )
| ( less_eq @ SV638 @ SV538 ) )
= $true )
| ( ( less_eq @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3368]) ).
thf(3480,plain,
! [SV376: a,SV581: a > $o,SV196: a > $o] :
( ( ( ~ ! [SY1240: a] :
( ~ ( SV196 @ SY1240 )
| ( less_eq @ SY1240 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) ) )
= $false )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3369]) ).
thf(3481,plain,
! [SV196: a > $o,SV376: a,SV581: a > $o] :
( ( ( ~ ~ ( SV581 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) )
= $false )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3369]) ).
thf(3482,plain,
! [SV376: a,SV586: a > $o,SV196: a > $o] :
( ( ( ~ ! [SY1246: a] :
( ~ ( SV196 @ SY1246 )
| ( less_eq @ SY1246 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) )
| ~ ~ ( SV586 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) )
= $false )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3371]) ).
thf(3483,plain,
! [SV567: a,SV198: set_a] :
( ( ( ! [SY987: a] :
~ ! [SY988: a] :
( ~ ( member_a @ SY988 @ SV198 )
| ( less_eq @ SY988 @ SY987 ) ) )
= $false )
| ( ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3374]) ).
thf(3484,plain,
! [SV567: a,SV198: set_a] :
( ( ( ~ ! [SY1264: a] :
( ~ ( member_a @ SY1264 @ SV198 )
| ( less_eq @ SY1264 @ ( sK83_SY987 @ SV567 @ SV198 ) ) ) )
= $false )
| ( ( less_eq @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV567 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3375]) ).
thf(3485,plain,
! [SV473: a,SV377: a,SV199: a,SV421: a] :
( ( ( ~ ( less_eq @ SV421 @ SV199 ) )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3376]) ).
thf(3486,plain,
! [SV421: a,SV199: a,SV473: a,SV377: a] :
( ( ( ~ ( less_eq @ SV377 @ SV473 ) )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3376]) ).
thf(3487,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) )
= $true )
| ( ( less_eq @ SV199 @ SV377 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3377]) ).
thf(3488,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) ) )
= $false )
| ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( less_eq @ SV377 @ SV473 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3378]) ).
thf(3489,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) ) )
= $false )
| ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( less_eq @ SV377 @ SV473 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3378]) ).
thf(3490,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( ( SV201 != SV422 )
| ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) )
= $false )
| ( ( SV201 = SV422 )
= $false )
| ( ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3380]) ).
thf(3491,plain,
! [SV474: set_a,SV379: set_a,SV639: a] :
( ( ( ~ ( member_a @ SV639 @ SV379 )
| ( member_a @ SV639 @ SV474 ) )
= $true )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV379 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3383]) ).
thf(3492,plain,
! [SV474: set_a,SV379: set_a,SV626: a] :
( ( ( ~ ( member_a @ SV626 @ SV379 ) )
= $true )
| ( ( member_a @ SV626 @ SV474 )
= $true )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV474 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3384]) ).
thf(3493,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( ~ ( member_set_a @ SV203 @ SV424 )
| ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) )
= $false )
| ( ( member_set_a @ SV203 @ SV424 )
= $false )
| ( ( ord_le318720350_set_a @ SV380 @ SV424 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3386]) ).
thf(3494,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( ~ ( less_eq @ SV381 @ SV204 )
| ~ ( less_eq @ SV204 @ SV425 ) )
= $false )
| ( ( less_eq @ SV381 @ SV204 )
= $false )
| ( ( less_eq @ SV204 @ SV425 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3388]) ).
thf(3495,plain,
! [SV475: set_set_a,SV382: set_set_a,SV640: set_a] :
( ( ( ~ ( member_set_a @ SV640 @ SV382 )
| ( member_set_a @ SV640 @ SV475 ) )
= $true )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV382 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3391]) ).
thf(3496,plain,
! [SV475: set_set_a,SV382: set_set_a,SV627: set_a] :
( ( ( ~ ( member_set_a @ SV627 @ SV382 ) )
= $true )
| ( ( member_set_a @ SV627 @ SV475 )
= $true )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV475 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3392]) ).
thf(3497,plain,
! [SV206: a > set_a,SV628: a,SV617: a] :
( ( ( ~ ( less_eq @ SV617 @ SV628 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV206 @ SV628 ) @ ( SV206 @ SV617 ) )
= $true )
| ( ( less_eq @ ( sK61_SY1006 @ SV206 ) @ ( sK64_SY1233 @ SV206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3393]) ).
thf(3498,plain,
! [SV206: a > set_a,SV618: a,SV609: a] :
( ( ( less_eq @ SV609 @ SV618 )
= $false )
| ( ( ord_less_eq_set_a @ ( SV206 @ SV618 ) @ ( SV206 @ SV609 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV206 @ ( sK64_SY1233 @ SV206 ) ) @ ( SV206 @ ( sK61_SY1006 @ SV206 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3394]) ).
thf(3499,plain,
! [SV384: a,SV583: a > $o,SV208: a > $o] :
( ( ( ~ ! [SY1242: a] :
( ~ ( SV208 @ SY1242 )
| ( less_eq @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) @ SY1242 ) ) )
= $false )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3395]) ).
thf(3500,plain,
! [SV208: a > $o,SV384: a,SV583: a > $o] :
( ( ( ~ ~ ( SV583 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) ) )
= $false )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3395]) ).
thf(3501,plain,
! [SV384: a,SV588: a > $o,SV208: a > $o] :
( ( ( ~ ! [SY1248: a] :
( ~ ( SV208 @ SY1248 )
| ( less_eq @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) @ SY1248 ) )
| ~ ~ ( SV588 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) ) )
= $false )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3397]) ).
thf(3502,plain,
! [SV476: a,SV385: a] :
( ( ( SV385 = SV476 )
= $true )
| ( ( less_eq @ SV385 @ SV476 )
= $false )
| ( ( less_eq @ SV476 @ SV385 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3400]) ).
thf(3503,plain,
! [SV476: a,SV385: a] :
( ( ( ~ ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) ) )
= $true )
| ( ( less_eq @ SV385 @ SV476 )
= $false )
| ( ( less_eq @ SV476 @ SV385 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3401]) ).
thf(3504,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( ~ ( less_eq @ SV210 @ SV428 )
| ~ ( less_eq @ SV386 @ SV428 ) )
= $false )
| ( ( less_eq @ SV210 @ SV428 )
= $false )
| ( ( less_eq @ SV386 @ SV428 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3403]) ).
thf(3505,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( ~ ( less_eq @ SV212 @ SV429 )
| ~ ( less_eq @ SV388 @ SV429 ) )
= $false )
| ( ( less_eq @ SV212 @ SV429 )
= $false )
| ( ( less_eq @ SV388 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3405]) ).
thf(3506,plain,
! [SV213: a > a > a,SV641: a,SV630: a] :
( ( ( ( inf @ SV630 @ SV641 )
= ( SV213 @ SV630 @ SV641 ) )
= $true )
| ( ( less_eq @ ( sK43_X2 @ SV213 ) @ ( SV213 @ ( sK44_SY743 @ SV213 ) @ ( sK45_SY745 @ SV213 ) ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK46_X2 @ SV213 ) @ ( sK47_SY746 @ SV213 ) ) @ ( sK47_SY746 @ SV213 ) )
= $false )
| ( ( less_eq @ ( SV213 @ ( sK48_X2 @ SV213 ) @ ( sK49_SY747 @ SV213 ) ) @ ( sK48_X2 @ SV213 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3407]) ).
thf(3507,plain,
! [SV479: a,SV389: a] :
( ( ( SV389 = SV479 )
= $true )
| ( ( less_eq @ SV389 @ SV479 )
= $false )
| ( ( less_eq @ SV479 @ SV389 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3410]) ).
thf(3508,plain,
! [SV479: a,SV389: a] :
( ( ( ~ ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) ) )
= $true )
| ( ( less_eq @ SV389 @ SV479 )
= $false )
| ( ( less_eq @ SV479 @ SV389 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3411]) ).
thf(3509,plain,
! [SV602: a,SV432: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
| ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
= $false )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3412]) ).
thf(3510,plain,
! [SV432: a,SV217: a > $o] :
( ( ( SV217 @ SV432 )
= $false )
| ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3413]) ).
thf(3511,plain,
! [SV217: a > $o,SV432: a] :
( ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3414]) ).
thf(3512,plain,
! [SV432: a,SV631: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV631 ) )
= $true )
| ( ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV631 )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3415]) ).
thf(3513,plain,
! [SV432: a,SV642: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV642 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV642 ) )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3416]) ).
thf(3514,plain,
! [SV603: a,SV433: a,SV218: a > $o] :
( ( ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
| ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
= $false )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SV603 )
= $true )
| ( ( SV218 @ SV603 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3417]) ).
thf(3515,plain,
! [SV433: a,SV218: a > $o] :
( ( ( SV218 @ SV433 )
= $false )
| ( ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3418]) ).
thf(3516,plain,
! [SV218: a > $o,SV433: a] :
( ( ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) )
= $false )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3419]) ).
thf(3517,plain,
! [SV390: a > $o,SV620: a,SV221: a > $o] :
( ( ( SV221 @ SV620 )
= $false )
| ( ( SV390 @ SV620 )
= $true )
| ( ( SV221 @ ( sK65_SY1166 @ SV390 @ SV221 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3421]) ).
thf(3518,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( less_eq @ SV223 @ SV391 )
| ~ ( less_eq @ SV223 @ SV434 ) )
= $false )
| ( ( less_eq @ SV223 @ SV391 )
= $false )
| ( ( less_eq @ SV223 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3425]) ).
thf(3519,plain,
! [SV481: a,SV392: a] :
( ( ( SV392 = SV481 )
= $true )
| ( ( less_eq @ SV481 @ SV392 )
= $false )
| ( ( less_eq @ SV392 @ SV481 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3428]) ).
thf(3520,plain,
! [SV392: a,SV481: a] :
( ( ( ~ ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) ) )
= $true )
| ( ( less_eq @ SV481 @ SV392 )
= $false )
| ( ( less_eq @ SV392 @ SV481 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3429]) ).
thf(3521,plain,
! [SV225: a > set_a,SV632: a,SV621: a] :
( ( ( ~ ( less_eq @ SV621 @ SV632 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV225 @ SV621 ) @ ( SV225 @ SV632 ) )
= $true )
| ( ( less_eq @ ( sK62_SY1046 @ SV225 ) @ ( sK66_SY1234 @ SV225 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3430]) ).
thf(3522,plain,
! [SV225: a > set_a,SV622: a,SV611: a] :
( ( ( less_eq @ SV611 @ SV622 )
= $false )
| ( ( ord_less_eq_set_a @ ( SV225 @ SV611 ) @ ( SV225 @ SV622 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV225 @ ( sK62_SY1046 @ SV225 ) ) @ ( SV225 @ ( sK66_SY1234 @ SV225 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3431]) ).
thf(3523,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( SV394 = SV483 )
= $true )
| ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $false )
| ( ( ord_less_eq_set_a @ SV483 @ SV394 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3436]) ).
thf(3524,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $false )
| ( ( ord_less_eq_set_a @ SV483 @ SV394 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3437]) ).
thf(3525,plain,
! [SV484: set_set_a,SV395: set_set_a,SV643: set_a] :
( ( ( ~ ( member_set_a @ SV643 @ SV395 )
| ( member_set_a @ SV643 @ SV484 ) )
= $true )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV395 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3440]) ).
thf(3526,plain,
! [SV484: set_set_a,SV395: set_set_a,SV633: set_a] :
( ( ( ~ ( member_set_a @ SV633 @ SV395 ) )
= $true )
| ( ( member_set_a @ SV633 @ SV484 )
= $true )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV484 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3441]) ).
thf(3527,plain,
! [SV232: a > a > a,SV644: a,SV635: a] :
( ( ( ( sup @ SV635 @ SV644 )
= ( SV232 @ SV635 @ SV644 ) )
= $true )
| ( ( less_eq @ ( SV232 @ ( sK37_SY738 @ SV232 ) @ ( sK38_SY740 @ SV232 ) ) @ ( sK36_X2 @ SV232 ) )
= $false )
| ( ( less_eq @ ( sK40_SY741 @ SV232 ) @ ( SV232 @ ( sK39_X2 @ SV232 ) @ ( sK40_SY741 @ SV232 ) ) )
= $false )
| ( ( less_eq @ ( sK41_X2 @ SV232 ) @ ( SV232 @ ( sK41_X2 @ SV232 ) @ ( sK42_SY742 @ SV232 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3443]) ).
thf(3528,plain,
! [SV396: a,SV485: a,SV439: a,SV236: a] :
( ( ( SV236 = SV439 )
= $true )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3444]) ).
thf(3529,plain,
! [SV439: a,SV236: a,SV485: a,SV396: a] :
( ( ( SV396 = SV485 )
= $true )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3445]) ).
thf(3530,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3446]) ).
thf(3531,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) )
= $false )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3446]) ).
thf(3532,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
!= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) ) )
= $false )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3447]) ).
thf(3533,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ~ ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) ) )
= $false )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3447]) ).
thf(3534,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( ~ ( member_a @ SV237 @ SV440 )
| ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) )
= $false )
| ( ( member_a @ SV237 @ SV440 )
= $false )
| ( ( ord_less_eq_set_a @ SV397 @ SV440 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3449]) ).
thf(3535,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( ( SV398 != SV238 )
| ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) )
= $false )
| ( ( SV398 = SV238 )
= $false )
| ( ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3451]) ).
thf(3536,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( SV240 != SV399 )
| ( SV399 != SV442 ) )
= $false )
| ( ( SV240 = SV399 )
= $false )
| ( ( SV399 = SV442 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3453]) ).
thf(3537,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( less_eq @ SV242 @ SV400 )
| ~ ( less_eq @ SV242 @ SV443 ) )
= $false )
| ( ( less_eq @ SV242 @ SV400 )
= $false )
| ( ( less_eq @ SV242 @ SV443 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3456]) ).
thf(3538,plain,
! [SV555: a,SV244: set_a,SV624: a] :
( ( ( member_a @ SV624 @ SV244 )
= $false )
| ( ( less_eq @ SV555 @ SV624 )
= $true )
| ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3457]) ).
thf(3539,plain,
! [SV244: set_a,SV555: a] :
( ( ( less_eq @ SV555 @ ( lattic247676691_fin_a @ inf @ SV244 ) )
= $true )
| ( ( member_a @ ( sK77_SY1232 @ SV555 @ SV244 ) @ SV244 )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3458]) ).
thf(3540,plain,
! [SV555: a,SV244: set_a] :
( ( ( ! [SY1232: a] :
( ~ ( member_a @ SY1232 @ SV244 )
| ( less_eq @ SV555 @ SY1232 ) ) )
= $true )
| ( ( member_a @ ( sK77_SY1232 @ SV555 @ SV244 ) @ SV244 )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3459]) ).
thf(3541,plain,
! [SV555: a,SV244: set_a,SV645: a] :
( ( ( ~ ( member_a @ SV645 @ SV244 )
| ( less_eq @ SV555 @ SV645 ) )
= $true )
| ( ( less_eq @ SV555 @ ( sK77_SY1232 @ SV555 @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3461]) ).
thf(3542,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( SV245 = SV444 )
= $true )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3462]) ).
thf(3543,plain,
! [SV444: a,SV245: a,SV491: a,SV402: a] :
( ( ( SV402 = SV491 )
= $true )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3463]) ).
thf(3544,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) ) )
= $false )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3464]) ).
thf(3545,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) )
= $false )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3464]) ).
thf(3546,plain,
! [SV402: a,SV245: a,SV491: a,SV444: a] :
( ( ( less_eq @ SV444 @ SV491 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( ~ ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3465]) ).
thf(3547,plain,
! [SV572: a,SV247: set_a] :
( ( ( ! [SY1084: a] :
~ ! [SY1085: a] :
( ~ ( member_a @ SY1085 @ SV247 )
| ( less_eq @ SY1084 @ SY1085 ) ) )
= $false )
| ( ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3469]) ).
thf(3548,plain,
! [SV572: a,SV247: set_a] :
( ( ( ~ ! [SY1265: a] :
( ~ ( member_a @ SY1265 @ SV247 )
| ( less_eq @ ( sK84_SY1084 @ SV572 @ SV247 ) @ SY1265 ) ) )
= $false )
| ( ( less_eq @ SV572 @ ( sK73_SY1238 @ SV572 @ SV247 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3470]) ).
thf(3549,plain,
! [SV492: set_a,SV404: set_a,SV646: a] :
( ( ( ~ ( member_a @ SV646 @ SV404 )
| ( member_a @ SV646 @ SV492 ) )
= $true )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV404 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3473]) ).
thf(3550,plain,
! [SV492: set_a,SV404: set_a,SV636: a] :
( ( ( ~ ( member_a @ SV636 @ SV404 ) )
= $true )
| ( ( member_a @ SV636 @ SV492 )
= $true )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV492 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3474]) ).
thf(3551,plain,
! [SV538: a,SV195: set_a,SV647: a] :
( ( ( ~ ( member_a @ SV647 @ SV195 )
| ( less_eq @ SV647 @ SV538 ) )
= $true )
| ( ( member_a @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV195 )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3478]) ).
thf(3552,plain,
! [SV538: a,SV195: set_a,SV638: a] :
( ( ( ~ ( member_a @ SV638 @ SV195 ) )
= $true )
| ( ( less_eq @ SV638 @ SV538 )
= $true )
| ( ( less_eq @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3479]) ).
thf(3553,plain,
! [SV376: a,SV581: a > $o,SV196: a > $o] :
( ( ( ! [SY1240: a] :
( ~ ( SV196 @ SY1240 )
| ( less_eq @ SY1240 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) ) )
= $true )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3480]) ).
thf(3554,plain,
! [SV196: a > $o,SV376: a,SV581: a > $o] :
( ( ( ~ ( SV581 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) )
= $true )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3481]) ).
thf(3555,plain,
! [SV376: a,SV586: a > $o,SV196: a > $o] :
( ( ( ~ ! [SY1246: a] :
( ~ ( SV196 @ SY1246 )
| ( less_eq @ SY1246 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) ) )
= $false )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3482]) ).
thf(3556,plain,
! [SV196: a > $o,SV376: a,SV586: a > $o] :
( ( ( ~ ~ ( SV586 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) )
= $false )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3482]) ).
thf(3557,plain,
! [SV567: a,SV198: set_a] :
( ( ( ~ ! [SY1266: a] :
( ~ ( member_a @ SY1266 @ SV198 )
| ( less_eq @ SY1266 @ ( sK85_SY987 @ SV567 @ SV198 ) ) ) )
= $false )
| ( ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3483]) ).
thf(3558,plain,
! [SV567: a,SV198: set_a] :
( ( ( ! [SY1264: a] :
( ~ ( member_a @ SY1264 @ SV198 )
| ( less_eq @ SY1264 @ ( sK83_SY987 @ SV567 @ SV198 ) ) ) )
= $true )
| ( ( less_eq @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV567 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3484]) ).
thf(3559,plain,
! [SV473: a,SV377: a,SV199: a,SV421: a] :
( ( ( less_eq @ SV421 @ SV199 )
= $true )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3485]) ).
thf(3560,plain,
! [SV421: a,SV199: a,SV473: a,SV377: a] :
( ( ( less_eq @ SV377 @ SV473 )
= $true )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3486]) ).
thf(3561,plain,
! [SV473: a,SV377: a,SV199: a,SV421: a] :
( ( ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3487]) ).
thf(3562,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ord_less_eq_set_a @ ( set_atLeastAtMost_a @ less_eq @ SV199 @ SV377 ) @ ( set_atLeastAtMost_a @ less_eq @ SV421 @ SV473 ) )
= $true )
| ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( less_eq @ SV377 @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3488]) ).
thf(3563,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( less_eq @ SV199 @ SV377 )
| ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) )
= $true )
| ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( less_eq @ SV377 @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3489]) ).
thf(3564,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( ( SV201 != SV422 ) )
= $false )
| ( ( SV201 = SV422 )
= $false )
| ( ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3490]) ).
thf(3565,plain,
! [SV201: a,SV422: a,SV378: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) ) )
= $false )
| ( ( SV201 = SV422 )
= $false )
| ( ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3490]) ).
thf(3566,plain,
! [SV474: set_a,SV379: set_a,SV639: a] :
( ( ( ~ ( member_a @ SV639 @ SV379 ) )
= $true )
| ( ( member_a @ SV639 @ SV474 )
= $true )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV379 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3491]) ).
thf(3567,plain,
! [SV474: set_a,SV379: set_a,SV626: a] :
( ( ( member_a @ SV626 @ SV379 )
= $false )
| ( ( member_a @ SV626 @ SV474 )
= $true )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV474 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3492]) ).
thf(3568,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( ~ ( member_set_a @ SV203 @ SV424 ) )
= $false )
| ( ( member_set_a @ SV203 @ SV424 )
= $false )
| ( ( ord_le318720350_set_a @ SV380 @ SV424 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3493]) ).
thf(3569,plain,
! [SV203: set_a,SV424: set_set_a,SV380: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV380 @ SV424 ) )
= $false )
| ( ( member_set_a @ SV203 @ SV424 )
= $false )
| ( ( ord_le318720350_set_a @ SV380 @ SV424 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3493]) ).
thf(3570,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( ~ ( less_eq @ SV381 @ SV204 ) )
= $false )
| ( ( less_eq @ SV381 @ SV204 )
= $false )
| ( ( less_eq @ SV204 @ SV425 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3494]) ).
thf(3571,plain,
! [SV381: a,SV425: a,SV204: a] :
( ( ( ~ ( less_eq @ SV204 @ SV425 ) )
= $false )
| ( ( less_eq @ SV381 @ SV204 )
= $false )
| ( ( less_eq @ SV204 @ SV425 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3494]) ).
thf(3572,plain,
! [SV475: set_set_a,SV382: set_set_a,SV640: set_a] :
( ( ( ~ ( member_set_a @ SV640 @ SV382 ) )
= $true )
| ( ( member_set_a @ SV640 @ SV475 )
= $true )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV382 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3495]) ).
thf(3573,plain,
! [SV475: set_set_a,SV382: set_set_a,SV627: set_a] :
( ( ( member_set_a @ SV627 @ SV382 )
= $false )
| ( ( member_set_a @ SV627 @ SV475 )
= $true )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV475 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3496]) ).
thf(3574,plain,
! [SV206: a > set_a,SV628: a,SV617: a] :
( ( ( less_eq @ SV617 @ SV628 )
= $false )
| ( ( ord_less_eq_set_a @ ( SV206 @ SV628 ) @ ( SV206 @ SV617 ) )
= $true )
| ( ( less_eq @ ( sK61_SY1006 @ SV206 ) @ ( sK64_SY1233 @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3497]) ).
thf(3575,plain,
! [SV384: a,SV583: a > $o,SV208: a > $o] :
( ( ( ! [SY1242: a] :
( ~ ( SV208 @ SY1242 )
| ( less_eq @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) @ SY1242 ) ) )
= $true )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3499]) ).
thf(3576,plain,
! [SV208: a > $o,SV384: a,SV583: a > $o] :
( ( ( ~ ( SV583 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) ) )
= $true )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3500]) ).
thf(3577,plain,
! [SV384: a,SV588: a > $o,SV208: a > $o] :
( ( ( ~ ! [SY1248: a] :
( ~ ( SV208 @ SY1248 )
| ( less_eq @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) @ SY1248 ) ) )
= $false )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3501]) ).
thf(3578,plain,
! [SV208: a > $o,SV384: a,SV588: a > $o] :
( ( ( ~ ~ ( SV588 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) ) )
= $false )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3501]) ).
thf(3579,plain,
! [SV476: a,SV385: a] :
( ( ( ~ ( less_eq @ SV385 @ SV476 )
| ~ ( less_eq @ SV476 @ SV385 ) )
= $false )
| ( ( less_eq @ SV385 @ SV476 )
= $false )
| ( ( less_eq @ SV476 @ SV385 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3503]) ).
thf(3580,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( ~ ( less_eq @ SV210 @ SV428 ) )
= $false )
| ( ( less_eq @ SV210 @ SV428 )
= $false )
| ( ( less_eq @ SV386 @ SV428 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3504]) ).
thf(3581,plain,
! [SV210: a,SV428: a,SV386: a] :
( ( ( ~ ( less_eq @ SV386 @ SV428 ) )
= $false )
| ( ( less_eq @ SV210 @ SV428 )
= $false )
| ( ( less_eq @ SV386 @ SV428 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3504]) ).
thf(3582,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( ~ ( less_eq @ SV212 @ SV429 ) )
= $false )
| ( ( less_eq @ SV212 @ SV429 )
= $false )
| ( ( less_eq @ SV388 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3505]) ).
thf(3583,plain,
! [SV212: a,SV429: a,SV388: a] :
( ( ( ~ ( less_eq @ SV388 @ SV429 ) )
= $false )
| ( ( less_eq @ SV212 @ SV429 )
= $false )
| ( ( less_eq @ SV388 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3505]) ).
thf(3584,plain,
! [SV479: a,SV389: a] :
( ( ( ~ ( less_eq @ SV389 @ SV479 )
| ~ ( less_eq @ SV479 @ SV389 ) )
= $false )
| ( ( less_eq @ SV389 @ SV479 )
= $false )
| ( ( less_eq @ SV479 @ SV389 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3508]) ).
thf(3585,plain,
! [SV602: a,SV432: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
= $false )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3509]) ).
thf(3586,plain,
! [SV602: a,SV217: a > $o,SV432: a] :
( ( ( ~ ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
= $false )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3509]) ).
thf(3587,plain,
! [SV432: a,SV648: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV648 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV648 ) )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3510]) ).
thf(3588,plain,
! [SV432: a,SV217: a > $o] :
( ( ( SV217 @ SV432 )
= $false )
| ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3511]) ).
thf(3589,plain,
! [SV432: a,SV631: a,SV217: a > $o] :
( ( ( SV217 @ SV631 )
= $false )
| ( ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV631 )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3512]) ).
thf(3590,plain,
! [SV432: a,SV642: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV642 ) )
= $true )
| ( ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV642 )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3513]) ).
thf(3591,plain,
! [SV603: a,SV433: a,SV218: a > $o] :
( ( ( ~ ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
= $false )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SV603 )
= $true )
| ( ( SV218 @ SV603 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3514]) ).
thf(3592,plain,
! [SV603: a,SV218: a > $o,SV433: a] :
( ( ( ~ ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
= $false )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SV603 )
= $true )
| ( ( SV218 @ SV603 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3514]) ).
thf(3593,plain,
! [SV433: a,SV218: a > $o] :
( ( ( SV218 @ SV433 )
= $false )
| ( ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) )
= $false )
| ( ( SV218 @ ( sK32_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3516]) ).
thf(3594,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( ~ ( less_eq @ SV223 @ SV391 ) )
= $false )
| ( ( less_eq @ SV223 @ SV391 )
= $false )
| ( ( less_eq @ SV223 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3518]) ).
thf(3595,plain,
! [SV391: a,SV434: a,SV223: a] :
( ( ( ~ ( less_eq @ SV223 @ SV434 ) )
= $false )
| ( ( less_eq @ SV223 @ SV391 )
= $false )
| ( ( less_eq @ SV223 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3518]) ).
thf(3596,plain,
! [SV392: a,SV481: a] :
( ( ( ~ ( less_eq @ SV481 @ SV392 )
| ~ ( less_eq @ SV392 @ SV481 ) )
= $false )
| ( ( less_eq @ SV481 @ SV392 )
= $false )
| ( ( less_eq @ SV392 @ SV481 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3520]) ).
thf(3597,plain,
! [SV225: a > set_a,SV632: a,SV621: a] :
( ( ( less_eq @ SV621 @ SV632 )
= $false )
| ( ( ord_less_eq_set_a @ ( SV225 @ SV621 ) @ ( SV225 @ SV632 ) )
= $true )
| ( ( less_eq @ ( sK62_SY1046 @ SV225 ) @ ( sK66_SY1234 @ SV225 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3521]) ).
thf(3598,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 )
| ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $false )
| ( ( ord_less_eq_set_a @ SV483 @ SV394 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3524]) ).
thf(3599,plain,
! [SV484: set_set_a,SV395: set_set_a,SV643: set_a] :
( ( ( ~ ( member_set_a @ SV643 @ SV395 ) )
= $true )
| ( ( member_set_a @ SV643 @ SV484 )
= $true )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV395 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3525]) ).
thf(3600,plain,
! [SV484: set_set_a,SV395: set_set_a,SV633: set_a] :
( ( ( member_set_a @ SV633 @ SV395 )
= $false )
| ( ( member_set_a @ SV633 @ SV484 )
= $true )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV484 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3526]) ).
thf(3601,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 )
| ( SV396 != SV439 ) )
= $false )
| ( ( SV236 = SV439 )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3528]) ).
thf(3602,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 )
| ( SV396 != SV439 ) )
= $false )
| ( ( SV396 = SV485 )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3529]) ).
thf(3603,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3530]) ).
thf(3604,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3531]) ).
thf(3605,plain,
! [SV485: a,SV439: a,SV396: a,SV236: a] :
( ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3532]) ).
thf(3606,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
| ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3533]) ).
thf(3607,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( ~ ( member_a @ SV237 @ SV440 ) )
= $false )
| ( ( member_a @ SV237 @ SV440 )
= $false )
| ( ( ord_less_eq_set_a @ SV397 @ SV440 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3534]) ).
thf(3608,plain,
! [SV237: a,SV440: set_a,SV397: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV397 @ SV440 ) )
= $false )
| ( ( member_a @ SV237 @ SV440 )
= $false )
| ( ( ord_less_eq_set_a @ SV397 @ SV440 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3534]) ).
thf(3609,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( ( SV398 != SV238 ) )
= $false )
| ( ( SV398 = SV238 )
= $false )
| ( ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3535]) ).
thf(3610,plain,
! [SV398: a,SV238: a,SV441: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) ) )
= $false )
| ( ( SV398 = SV238 )
= $false )
| ( ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3535]) ).
thf(3611,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( ( SV240 != SV399 ) )
= $false )
| ( ( SV240 = SV399 )
= $false )
| ( ( SV399 = SV442 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3536]) ).
thf(3612,plain,
! [SV240: a,SV442: a,SV399: a] :
( ( ( ( SV399 != SV442 ) )
= $false )
| ( ( SV240 = SV399 )
= $false )
| ( ( SV399 = SV442 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3536]) ).
thf(3613,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( ~ ( less_eq @ SV242 @ SV400 ) )
= $false )
| ( ( less_eq @ SV242 @ SV400 )
= $false )
| ( ( less_eq @ SV242 @ SV443 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3537]) ).
thf(3614,plain,
! [SV400: a,SV443: a,SV242: a] :
( ( ( ~ ( less_eq @ SV242 @ SV443 ) )
= $false )
| ( ( less_eq @ SV242 @ SV400 )
= $false )
| ( ( less_eq @ SV242 @ SV443 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3537]) ).
thf(3615,plain,
! [SV555: a,SV244: set_a,SV649: a] :
( ( ( ~ ( member_a @ SV649 @ SV244 )
| ( less_eq @ SV555 @ SV649 ) )
= $true )
| ( ( member_a @ ( sK77_SY1232 @ SV555 @ SV244 ) @ SV244 )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3540]) ).
thf(3616,plain,
! [SV555: a,SV244: set_a,SV645: a] :
( ( ( ~ ( member_a @ SV645 @ SV244 ) )
= $true )
| ( ( less_eq @ SV555 @ SV645 )
= $true )
| ( ( less_eq @ SV555 @ ( sK77_SY1232 @ SV555 @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3541]) ).
thf(3617,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3542]) ).
thf(3618,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3543]) ).
thf(3619,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3544]) ).
thf(3620,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3545]) ).
thf(3621,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
| ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) )
= $false )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3546]) ).
thf(3622,plain,
! [SV572: a,SV247: set_a] :
( ( ( ~ ! [SY1267: a] :
( ~ ( member_a @ SY1267 @ SV247 )
| ( less_eq @ ( sK86_SY1084 @ SV572 @ SV247 ) @ SY1267 ) ) )
= $false )
| ( ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3547]) ).
thf(3623,plain,
! [SV572: a,SV247: set_a] :
( ( ( ! [SY1265: a] :
( ~ ( member_a @ SY1265 @ SV247 )
| ( less_eq @ ( sK84_SY1084 @ SV572 @ SV247 ) @ SY1265 ) ) )
= $true )
| ( ( less_eq @ SV572 @ ( sK73_SY1238 @ SV572 @ SV247 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3548]) ).
thf(3624,plain,
! [SV492: set_a,SV404: set_a,SV646: a] :
( ( ( ~ ( member_a @ SV646 @ SV404 ) )
= $true )
| ( ( member_a @ SV646 @ SV492 )
= $true )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV404 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3549]) ).
thf(3625,plain,
! [SV492: set_a,SV404: set_a,SV636: a] :
( ( ( member_a @ SV636 @ SV404 )
= $false )
| ( ( member_a @ SV636 @ SV492 )
= $true )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV492 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3550]) ).
thf(3626,plain,
! [SV538: a,SV195: set_a,SV647: a] :
( ( ( ~ ( member_a @ SV647 @ SV195 ) )
= $true )
| ( ( less_eq @ SV647 @ SV538 )
= $true )
| ( ( member_a @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV195 )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3551]) ).
thf(3627,plain,
! [SV538: a,SV195: set_a,SV638: a] :
( ( ( member_a @ SV638 @ SV195 )
= $false )
| ( ( less_eq @ SV638 @ SV538 )
= $true )
| ( ( less_eq @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV538 )
= $false )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3552]) ).
thf(3628,plain,
! [SV376: a,SV581: a > $o,SV650: a,SV196: a > $o] :
( ( ( ~ ( SV196 @ SV650 )
| ( less_eq @ SV650 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) ) )
= $true )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3553]) ).
thf(3629,plain,
! [SV196: a > $o,SV376: a,SV581: a > $o] :
( ( ( SV581 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) )
= $false )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3554]) ).
thf(3630,plain,
! [SV376: a,SV586: a > $o,SV196: a > $o] :
( ( ( ! [SY1246: a] :
( ~ ( SV196 @ SY1246 )
| ( less_eq @ SY1246 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) ) )
= $true )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3555]) ).
thf(3631,plain,
! [SV196: a > $o,SV376: a,SV586: a > $o] :
( ( ( ~ ( SV586 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) )
= $true )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3556]) ).
thf(3632,plain,
! [SV567: a,SV198: set_a] :
( ( ( ! [SY1266: a] :
( ~ ( member_a @ SY1266 @ SV198 )
| ( less_eq @ SY1266 @ ( sK85_SY987 @ SV567 @ SV198 ) ) ) )
= $true )
| ( ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3557]) ).
thf(3633,plain,
! [SV567: a,SV198: set_a,SV651: a] :
( ( ( ~ ( member_a @ SV651 @ SV198 )
| ( less_eq @ SV651 @ ( sK83_SY987 @ SV567 @ SV198 ) ) )
= $true )
| ( ( less_eq @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV567 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3558]) ).
thf(3634,plain,
! [SV377: a,SV199: a,SV421: a] :
( ( ( ~ ( less_eq @ SV421 @ SV199 ) )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3561]) ).
thf(3635,plain,
! [SV199: a,SV473: a,SV377: a] :
( ( ( ~ ( less_eq @ SV377 @ SV473 ) )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3561]) ).
thf(3636,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( ~ ( less_eq @ SV199 @ SV377 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) )
= $true )
| ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( less_eq @ SV377 @ SV473 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3563]) ).
thf(3637,plain,
! [SV378: set_a,SV422: a,SV201: a] :
( ( ( SV201 = SV422 )
= $true )
| ( ( SV201 = SV422 )
= $false )
| ( ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3564]) ).
thf(3638,plain,
! [SV201: a,SV422: a,SV378: set_a] :
( ( ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) )
= $true )
| ( ( SV201 = SV422 )
= $false )
| ( ( ord_less_eq_set_a @ SV378 @ ( insert_a @ SV422 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3565]) ).
thf(3639,plain,
! [SV474: set_a,SV379: set_a,SV639: a] :
( ( ( member_a @ SV639 @ SV379 )
= $false )
| ( ( member_a @ SV639 @ SV474 )
= $true )
| ( ( member_a @ ( sK70_SY1203 @ SV474 @ SV379 ) @ SV379 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3566]) ).
thf(3640,plain,
! [SV380: set_set_a,SV424: set_set_a,SV203: set_a] :
( ( ( member_set_a @ SV203 @ SV424 )
= $true )
| ( ( member_set_a @ SV203 @ SV424 )
= $false )
| ( ( ord_le318720350_set_a @ SV380 @ SV424 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3568]) ).
thf(3641,plain,
! [SV203: set_a,SV424: set_set_a,SV380: set_set_a] :
( ( ( ord_le318720350_set_a @ SV380 @ SV424 )
= $true )
| ( ( member_set_a @ SV203 @ SV424 )
= $false )
| ( ( ord_le318720350_set_a @ SV380 @ SV424 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3569]) ).
thf(3642,plain,
! [SV425: a,SV204: a,SV381: a] :
( ( ( less_eq @ SV381 @ SV204 )
= $true )
| ( ( less_eq @ SV381 @ SV204 )
= $false )
| ( ( less_eq @ SV204 @ SV425 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3570]) ).
thf(3643,plain,
! [SV381: a,SV425: a,SV204: a] :
( ( ( less_eq @ SV204 @ SV425 )
= $true )
| ( ( less_eq @ SV381 @ SV204 )
= $false )
| ( ( less_eq @ SV204 @ SV425 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3571]) ).
thf(3644,plain,
! [SV475: set_set_a,SV382: set_set_a,SV640: set_a] :
( ( ( member_set_a @ SV640 @ SV382 )
= $false )
| ( ( member_set_a @ SV640 @ SV475 )
= $true )
| ( ( member_set_a @ ( sK71_SY1204 @ SV475 @ SV382 ) @ SV382 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3572]) ).
thf(3645,plain,
! [SV384: a,SV583: a > $o,SV652: a,SV208: a > $o] :
( ( ( ~ ( SV208 @ SV652 )
| ( less_eq @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) @ SV652 ) )
= $true )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3575]) ).
thf(3646,plain,
! [SV208: a > $o,SV384: a,SV583: a > $o] :
( ( ( SV583 @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) )
= $false )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3576]) ).
thf(3647,plain,
! [SV384: a,SV588: a > $o,SV208: a > $o] :
( ( ( ! [SY1248: a] :
( ~ ( SV208 @ SY1248 )
| ( less_eq @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) @ SY1248 ) ) )
= $true )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3577]) ).
thf(3648,plain,
! [SV208: a > $o,SV384: a,SV588: a > $o] :
( ( ( ~ ( SV588 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) ) )
= $true )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3578]) ).
thf(3649,plain,
! [SV476: a,SV385: a] :
( ( ( ~ ( less_eq @ SV385 @ SV476 ) )
= $false )
| ( ( less_eq @ SV385 @ SV476 )
= $false )
| ( ( less_eq @ SV476 @ SV385 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3579]) ).
thf(3650,plain,
! [SV385: a,SV476: a] :
( ( ( ~ ( less_eq @ SV476 @ SV385 ) )
= $false )
| ( ( less_eq @ SV385 @ SV476 )
= $false )
| ( ( less_eq @ SV476 @ SV385 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3579]) ).
thf(3651,plain,
! [SV386: a,SV428: a,SV210: a] :
( ( ( less_eq @ SV210 @ SV428 )
= $true )
| ( ( less_eq @ SV210 @ SV428 )
= $false )
| ( ( less_eq @ SV386 @ SV428 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3580]) ).
thf(3652,plain,
! [SV210: a,SV428: a,SV386: a] :
( ( ( less_eq @ SV386 @ SV428 )
= $true )
| ( ( less_eq @ SV210 @ SV428 )
= $false )
| ( ( less_eq @ SV386 @ SV428 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3581]) ).
thf(3653,plain,
! [SV388: a,SV429: a,SV212: a] :
( ( ( less_eq @ SV212 @ SV429 )
= $true )
| ( ( less_eq @ SV212 @ SV429 )
= $false )
| ( ( less_eq @ SV388 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3582]) ).
thf(3654,plain,
! [SV212: a,SV429: a,SV388: a] :
( ( ( less_eq @ SV388 @ SV429 )
= $true )
| ( ( less_eq @ SV212 @ SV429 )
= $false )
| ( ( less_eq @ SV388 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3583]) ).
thf(3655,plain,
! [SV479: a,SV389: a] :
( ( ( ~ ( less_eq @ SV389 @ SV479 ) )
= $false )
| ( ( less_eq @ SV389 @ SV479 )
= $false )
| ( ( less_eq @ SV479 @ SV389 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3584]) ).
thf(3656,plain,
! [SV389: a,SV479: a] :
( ( ( ~ ( less_eq @ SV479 @ SV389 ) )
= $false )
| ( ( less_eq @ SV389 @ SV479 )
= $false )
| ( ( less_eq @ SV479 @ SV389 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3584]) ).
thf(3657,plain,
! [SV602: a,SV432: a,SV217: a > $o] :
( ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3585]) ).
thf(3658,plain,
! [SV602: a,SV217: a > $o,SV432: a] :
( ( ( ~ ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) ) )
= $true )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3586]) ).
thf(3659,plain,
! [SV432: a,SV648: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV648 ) )
= $true )
| ( ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV648 )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3587]) ).
thf(3660,plain,
! [SV432: a,SV653: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV653 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV653 ) )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3588]) ).
thf(3661,plain,
! [SV432: a,SV642: a,SV217: a > $o] :
( ( ( SV217 @ SV642 )
= $false )
| ( ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV642 )
= $true )
| ( ( ( sK30_Y2 @ SV432 @ SV217 )
= SV432 )
= $false )
| ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3590]) ).
thf(3662,plain,
! [SV603: a,SV433: a,SV218: a > $o] :
( ( ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SV603 )
= $true )
| ( ( SV218 @ SV603 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3591]) ).
thf(3663,plain,
! [SV603: a,SV218: a > $o,SV433: a] :
( ( ( ~ ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) ) )
= $true )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SV603 )
= $true )
| ( ( SV218 @ SV603 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3592]) ).
thf(3664,plain,
! [SV434: a,SV391: a,SV223: a] :
( ( ( less_eq @ SV223 @ SV391 )
= $true )
| ( ( less_eq @ SV223 @ SV391 )
= $false )
| ( ( less_eq @ SV223 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3594]) ).
thf(3665,plain,
! [SV391: a,SV434: a,SV223: a] :
( ( ( less_eq @ SV223 @ SV434 )
= $true )
| ( ( less_eq @ SV223 @ SV391 )
= $false )
| ( ( less_eq @ SV223 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3595]) ).
thf(3666,plain,
! [SV392: a,SV481: a] :
( ( ( ~ ( less_eq @ SV481 @ SV392 ) )
= $false )
| ( ( less_eq @ SV481 @ SV392 )
= $false )
| ( ( less_eq @ SV392 @ SV481 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3596]) ).
thf(3667,plain,
! [SV481: a,SV392: a] :
( ( ( ~ ( less_eq @ SV392 @ SV481 ) )
= $false )
| ( ( less_eq @ SV481 @ SV392 )
= $false )
| ( ( less_eq @ SV392 @ SV481 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3596]) ).
thf(3668,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV394 @ SV483 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $false )
| ( ( ord_less_eq_set_a @ SV483 @ SV394 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3598]) ).
thf(3669,plain,
! [SV394: set_a,SV483: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV483 @ SV394 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $false )
| ( ( ord_less_eq_set_a @ SV483 @ SV394 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3598]) ).
thf(3670,plain,
! [SV484: set_set_a,SV395: set_set_a,SV643: set_a] :
( ( ( member_set_a @ SV643 @ SV395 )
= $false )
| ( ( member_set_a @ SV643 @ SV484 )
= $true )
| ( ( member_set_a @ ( sK72_SY1209 @ SV484 @ SV395 ) @ SV395 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3599]) ).
thf(3671,plain,
! [SV396: a,SV439: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 ) )
= $false )
| ( ( SV236 = SV439 )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3601]) ).
thf(3672,plain,
! [SV485: a,SV236: a,SV439: a,SV396: a] :
( ( ( ( SV396 != SV439 ) )
= $false )
| ( ( SV236 = SV439 )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3601]) ).
thf(3673,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 ) )
= $false )
| ( ( SV396 = SV485 )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3602]) ).
thf(3674,plain,
! [SV236: a,SV485: a,SV439: a,SV396: a] :
( ( ( ( SV396 != SV439 ) )
= $false )
| ( ( SV396 = SV485 )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3602]) ).
thf(3675,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) ) )
= $true )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3604]) ).
thf(3676,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ~ ( ( SV236 != SV439 )
| ( SV396 != SV485 ) ) )
= $true )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3606]) ).
thf(3677,plain,
! [SV397: set_a,SV440: set_a,SV237: a] :
( ( ( member_a @ SV237 @ SV440 )
= $true )
| ( ( member_a @ SV237 @ SV440 )
= $false )
| ( ( ord_less_eq_set_a @ SV397 @ SV440 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3607]) ).
thf(3678,plain,
! [SV237: a,SV440: set_a,SV397: set_a] :
( ( ( ord_less_eq_set_a @ SV397 @ SV440 )
= $true )
| ( ( member_a @ SV237 @ SV440 )
= $false )
| ( ( ord_less_eq_set_a @ SV397 @ SV440 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3608]) ).
thf(3679,plain,
! [SV441: set_a,SV238: a,SV398: a] :
( ( ( SV398 = SV238 )
= $true )
| ( ( SV398 = SV238 )
= $false )
| ( ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3609]) ).
thf(3680,plain,
! [SV398: a,SV238: a,SV441: set_a] :
( ( ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) )
= $true )
| ( ( SV398 = SV238 )
= $false )
| ( ( ord_less_eq_set_a @ SV441 @ ( insert_a @ SV238 @ bot_bot_set_a ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3610]) ).
thf(3681,plain,
! [SV442: a,SV399: a,SV240: a] :
( ( ( SV240 = SV399 )
= $true )
| ( ( SV240 = SV399 )
= $false )
| ( ( SV399 = SV442 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3611]) ).
thf(3682,plain,
! [SV240: a,SV442: a,SV399: a] :
( ( ( SV399 = SV442 )
= $true )
| ( ( SV240 = SV399 )
= $false )
| ( ( SV399 = SV442 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3612]) ).
thf(3683,plain,
! [SV443: a,SV400: a,SV242: a] :
( ( ( less_eq @ SV242 @ SV400 )
= $true )
| ( ( less_eq @ SV242 @ SV400 )
= $false )
| ( ( less_eq @ SV242 @ SV443 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3613]) ).
thf(3684,plain,
! [SV400: a,SV443: a,SV242: a] :
( ( ( less_eq @ SV242 @ SV443 )
= $true )
| ( ( less_eq @ SV242 @ SV400 )
= $false )
| ( ( less_eq @ SV242 @ SV443 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3614]) ).
thf(3685,plain,
! [SV555: a,SV244: set_a,SV649: a] :
( ( ( ~ ( member_a @ SV649 @ SV244 ) )
= $true )
| ( ( less_eq @ SV555 @ SV649 )
= $true )
| ( ( member_a @ ( sK77_SY1232 @ SV555 @ SV244 ) @ SV244 )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3615]) ).
thf(3686,plain,
! [SV555: a,SV244: set_a,SV645: a] :
( ( ( member_a @ SV645 @ SV244 )
= $false )
| ( ( less_eq @ SV555 @ SV645 )
= $true )
| ( ( less_eq @ SV555 @ ( sK77_SY1232 @ SV555 @ SV244 ) )
= $false )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3616]) ).
thf(3687,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 ) )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3617]) ).
thf(3688,plain,
! [SV402: a,SV245: a,SV491: a,SV444: a] :
( ( ( ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3617]) ).
thf(3689,plain,
! [SV444: a,SV491: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 ) )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3618]) ).
thf(3690,plain,
! [SV245: a,SV402: a,SV491: a,SV444: a] :
( ( ( ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3618]) ).
thf(3691,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3620]) ).
thf(3692,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
!= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) ) )
= $false )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3621]) ).
thf(3693,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ~ ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) ) )
= $false )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3621]) ).
thf(3694,plain,
! [SV572: a,SV247: set_a] :
( ( ( ! [SY1267: a] :
( ~ ( member_a @ SY1267 @ SV247 )
| ( less_eq @ ( sK86_SY1084 @ SV572 @ SV247 ) @ SY1267 ) ) )
= $true )
| ( ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3622]) ).
thf(3695,plain,
! [SV572: a,SV247: set_a,SV654: a] :
( ( ( ~ ( member_a @ SV654 @ SV247 )
| ( less_eq @ ( sK84_SY1084 @ SV572 @ SV247 ) @ SV654 ) )
= $true )
| ( ( less_eq @ SV572 @ ( sK73_SY1238 @ SV572 @ SV247 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3623]) ).
thf(3696,plain,
! [SV492: set_a,SV404: set_a,SV646: a] :
( ( ( member_a @ SV646 @ SV404 )
= $false )
| ( ( member_a @ SV646 @ SV492 )
= $true )
| ( ( member_a @ ( sK74_SY1215 @ SV492 @ SV404 ) @ SV404 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3624]) ).
thf(3697,plain,
! [SV538: a,SV195: set_a,SV647: a] :
( ( ( member_a @ SV647 @ SV195 )
= $false )
| ( ( less_eq @ SV647 @ SV538 )
= $true )
| ( ( member_a @ ( sK75_SY1223 @ SV538 @ SV195 ) @ SV195 )
= $true )
| ( ( SV195 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3626]) ).
thf(3698,plain,
! [SV376: a,SV581: a > $o,SV650: a,SV196: a > $o] :
( ( ( ~ ( SV196 @ SV650 ) )
= $true )
| ( ( less_eq @ SV650 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) )
= $true )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3628]) ).
thf(3699,plain,
! [SV376: a,SV586: a > $o,SV655: a,SV196: a > $o] :
( ( ( ~ ( SV196 @ SV655 )
| ( less_eq @ SV655 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) ) )
= $true )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3630]) ).
thf(3700,plain,
! [SV196: a > $o,SV376: a,SV586: a > $o] :
( ( ( SV586 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) )
= $false )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3631]) ).
thf(3701,plain,
! [SV567: a,SV198: set_a,SV656: a] :
( ( ( ~ ( member_a @ SV656 @ SV198 )
| ( less_eq @ SV656 @ ( sK85_SY987 @ SV567 @ SV198 ) ) )
= $true )
| ( ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3632]) ).
thf(3702,plain,
! [SV567: a,SV198: set_a,SV651: a] :
( ( ( ~ ( member_a @ SV651 @ SV198 ) )
= $true )
| ( ( less_eq @ SV651 @ ( sK83_SY987 @ SV567 @ SV198 ) )
= $true )
| ( ( less_eq @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV567 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3633]) ).
thf(3703,plain,
! [SV377: a,SV199: a,SV421: a] :
( ( ( less_eq @ SV421 @ SV199 )
= $true )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3634]) ).
thf(3704,plain,
! [SV199: a,SV473: a,SV377: a] :
( ( ( less_eq @ SV377 @ SV473 )
= $true )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3635]) ).
thf(3705,plain,
! [SV473: a,SV421: a,SV377: a,SV199: a] :
( ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) ) )
= $true )
| ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( less_eq @ SV377 @ SV473 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3636]) ).
thf(3706,plain,
! [SV384: a,SV583: a > $o,SV652: a,SV208: a > $o] :
( ( ( ~ ( SV208 @ SV652 ) )
= $true )
| ( ( less_eq @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) @ SV652 )
= $true )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3645]) ).
thf(3707,plain,
! [SV384: a,SV588: a > $o,SV657: a,SV208: a > $o] :
( ( ( ~ ( SV208 @ SV657 )
| ( less_eq @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) @ SV657 ) )
= $true )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3647]) ).
thf(3708,plain,
! [SV208: a > $o,SV384: a,SV588: a > $o] :
( ( ( SV588 @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) )
= $false )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3648]) ).
thf(3709,plain,
! [SV476: a,SV385: a] :
( ( ( less_eq @ SV385 @ SV476 )
= $true )
| ( ( less_eq @ SV385 @ SV476 )
= $false )
| ( ( less_eq @ SV476 @ SV385 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3649]) ).
thf(3710,plain,
! [SV385: a,SV476: a] :
( ( ( less_eq @ SV476 @ SV385 )
= $true )
| ( ( less_eq @ SV385 @ SV476 )
= $false )
| ( ( less_eq @ SV476 @ SV385 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3650]) ).
thf(3711,plain,
! [SV479: a,SV389: a] :
( ( ( less_eq @ SV389 @ SV479 )
= $true )
| ( ( less_eq @ SV389 @ SV479 )
= $false )
| ( ( less_eq @ SV479 @ SV389 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3655]) ).
thf(3712,plain,
! [SV389: a,SV479: a] :
( ( ( less_eq @ SV479 @ SV389 )
= $true )
| ( ( less_eq @ SV389 @ SV479 )
= $false )
| ( ( less_eq @ SV479 @ SV389 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3656]) ).
thf(3713,plain,
! [SV602: a,SV432: a,SV217: a > $o] :
( ( ( SV217 @ SV432 )
= $false )
| ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3657]) ).
thf(3714,plain,
! [SV602: a,SV217: a > $o,SV432: a] :
( ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( ~ ( SV217 @ SV432 ) )
= $true )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3658]) ).
thf(3715,plain,
! [SV432: a,SV648: a,SV217: a > $o] :
( ( ( SV217 @ SV648 )
= $false )
| ( ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV648 )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3659]) ).
thf(3716,plain,
! [SV432: a,SV653: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV653 ) )
= $true )
| ( ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV653 )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3660]) ).
thf(3717,plain,
! [SV603: a,SV433: a,SV218: a > $o] :
( ( ( SV218 @ SV433 )
= $false )
| ( ( SV218 @ ( sK31_Y2 @ SV433 @ SV218 ) )
= $true )
| ( ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SV603 )
= $true )
| ( ( SV218 @ SV603 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3662]) ).
thf(3718,plain,
! [SV603: a,SV218: a > $o,SV433: a] :
( ( ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) )
= $false )
| ( ( ~ ( SV218 @ SV433 ) )
= $true )
| ( ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SV603 )
= $true )
| ( ( SV218 @ SV603 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3663]) ).
thf(3719,plain,
! [SV392: a,SV481: a] :
( ( ( less_eq @ SV481 @ SV392 )
= $true )
| ( ( less_eq @ SV481 @ SV392 )
= $false )
| ( ( less_eq @ SV392 @ SV481 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3666]) ).
thf(3720,plain,
! [SV481: a,SV392: a] :
( ( ( less_eq @ SV392 @ SV481 )
= $true )
| ( ( less_eq @ SV481 @ SV392 )
= $false )
| ( ( less_eq @ SV392 @ SV481 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3667]) ).
thf(3721,plain,
! [SV483: set_a,SV394: set_a] :
( ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $true )
| ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $false )
| ( ( ord_less_eq_set_a @ SV483 @ SV394 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3668]) ).
thf(3722,plain,
! [SV394: set_a,SV483: set_a] :
( ( ( ord_less_eq_set_a @ SV483 @ SV394 )
= $true )
| ( ( ord_less_eq_set_a @ SV394 @ SV483 )
= $false )
| ( ( ord_less_eq_set_a @ SV483 @ SV394 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3669]) ).
thf(3723,plain,
! [SV396: a,SV439: a,SV485: a,SV236: a] :
( ( ( SV236 = SV485 )
= $true )
| ( ( SV236 = SV439 )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3671]) ).
thf(3724,plain,
! [SV485: a,SV236: a,SV439: a,SV396: a] :
( ( ( SV396 = SV439 )
= $true )
| ( ( SV236 = SV439 )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3672]) ).
thf(3725,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( SV236 = SV485 )
= $true )
| ( ( SV396 = SV485 )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3673]) ).
thf(3726,plain,
! [SV236: a,SV485: a,SV439: a,SV396: a] :
( ( ( SV396 = SV439 )
= $true )
| ( ( SV396 = SV485 )
= $true )
| ( ( ( insert_a @ SV236 @ ( insert_a @ SV396 @ bot_bot_set_a ) )
= ( insert_a @ SV439 @ ( insert_a @ SV485 @ bot_bot_set_a ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3674]) ).
thf(3727,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
= $false )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3675]) ).
thf(3728,plain,
! [SV485: a,SV396: a,SV439: a,SV236: a] :
( ( ( ( SV236 != SV439 )
| ( SV396 != SV485 ) )
= $false )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3676]) ).
thf(3729,plain,
! [SV555: a,SV244: set_a,SV649: a] :
( ( ( member_a @ SV649 @ SV244 )
= $false )
| ( ( less_eq @ SV555 @ SV649 )
= $true )
| ( ( member_a @ ( sK77_SY1232 @ SV555 @ SV244 ) @ SV244 )
= $true )
| ( ( SV244 = bot_bot_set_a )
= $true )
| ( ( finite_finite_a @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3685]) ).
thf(3730,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ( less_eq @ SV245 @ SV402 ) )
= $true )
| ( ( SV245 = SV444 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3687]) ).
thf(3731,plain,
! [SV402: a,SV245: a,SV491: a,SV444: a] :
( ( ( ~ ( less_eq @ SV444 @ SV491 ) )
= $true )
| ( ( SV245 = SV444 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3688]) ).
thf(3732,plain,
! [SV444: a,SV491: a,SV402: a,SV245: a] :
( ( ( ~ ( less_eq @ SV245 @ SV402 ) )
= $true )
| ( ( SV402 = SV491 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3689]) ).
thf(3733,plain,
! [SV245: a,SV402: a,SV491: a,SV444: a] :
( ( ( ~ ( less_eq @ SV444 @ SV491 ) )
= $true )
| ( ( SV402 = SV491 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3690]) ).
thf(3734,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
= $false )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3691]) ).
thf(3735,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3692]) ).
thf(3736,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
| ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3693]) ).
thf(3737,plain,
! [SV572: a,SV247: set_a,SV658: a] :
( ( ( ~ ( member_a @ SV658 @ SV247 )
| ( less_eq @ ( sK86_SY1084 @ SV572 @ SV247 ) @ SV658 ) )
= $true )
| ( ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3694]) ).
thf(3738,plain,
! [SV572: a,SV247: set_a,SV654: a] :
( ( ( ~ ( member_a @ SV654 @ SV247 ) )
= $true )
| ( ( less_eq @ ( sK84_SY1084 @ SV572 @ SV247 ) @ SV654 )
= $true )
| ( ( less_eq @ SV572 @ ( sK73_SY1238 @ SV572 @ SV247 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3695]) ).
thf(3739,plain,
! [SV376: a,SV581: a > $o,SV650: a,SV196: a > $o] :
( ( ( SV196 @ SV650 )
= $false )
| ( ( less_eq @ SV650 @ ( sK34_X2 @ SV581 @ SV376 @ SV196 ) )
= $true )
| ( ( SV581 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( SV196 @ ( sK35_Y2 @ SV376 @ SV196 ) )
= $true )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3698]) ).
thf(3740,plain,
! [SV376: a,SV586: a > $o,SV655: a,SV196: a > $o] :
( ( ( ~ ( SV196 @ SV655 ) )
= $true )
| ( ( less_eq @ SV655 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) )
= $true )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3699]) ).
thf(3741,plain,
! [SV567: a,SV198: set_a,SV656: a] :
( ( ( ~ ( member_a @ SV656 @ SV198 ) )
= $true )
| ( ( less_eq @ SV656 @ ( sK85_SY987 @ SV567 @ SV198 ) )
= $true )
| ( ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3701]) ).
thf(3742,plain,
! [SV567: a,SV198: set_a,SV651: a] :
( ( ( member_a @ SV651 @ SV198 )
= $false )
| ( ( less_eq @ SV651 @ ( sK83_SY987 @ SV567 @ SV198 ) )
= $true )
| ( ( less_eq @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV567 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3702]) ).
thf(3743,plain,
! [SV473: a,SV377: a,SV199: a,SV421: a] :
( ( ( ~ ( less_eq @ SV421 @ SV199 )
| ~ ( less_eq @ SV377 @ SV473 ) )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( less_eq @ SV377 @ SV473 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3705]) ).
thf(3744,plain,
! [SV384: a,SV583: a > $o,SV652: a,SV208: a > $o] :
( ( ( SV208 @ SV652 )
= $false )
| ( ( less_eq @ ( sK27_X2 @ SV583 @ SV384 @ SV208 ) @ SV652 )
= $true )
| ( ( SV583 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( SV208 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $true )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3706]) ).
thf(3745,plain,
! [SV384: a,SV588: a > $o,SV657: a,SV208: a > $o] :
( ( ( ~ ( SV208 @ SV657 ) )
= $true )
| ( ( less_eq @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) @ SV657 )
= $true )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3707]) ).
thf(3746,plain,
! [SV432: a,SV602: a,SV659: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV659 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV659 ) )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3713]) ).
thf(3747,plain,
! [SV602: a,SV432: a,SV217: a > $o] :
( ( ( SV217 @ SV432 )
= $false )
| ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( ! [SY1030: a] :
( ~ ( SV217 @ SY1030 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SY1030 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3714]) ).
thf(3748,plain,
! [SV432: a,SV653: a,SV217: a > $o] :
( ( ( SV217 @ SV653 )
= $false )
| ( ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV653 )
= $true )
| ( ( SV217 @ ( sK30_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3716]) ).
thf(3749,plain,
! [SV603: a,SV433: a,SV218: a > $o] :
( ( ( SV218 @ SV433 )
= $false )
| ( ( less_eq @ SV433 @ ( sK31_Y2 @ SV433 @ SV218 ) )
= $false )
| ( ( less_eq @ ( sK32_Y2 @ SV433 @ SV218 ) @ SV603 )
= $true )
| ( ( SV218 @ SV603 )
= $false )
| ( ( SV218 @ ( least_a @ less_eq @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3718]) ).
thf(3750,plain,
! [SV396: a,SV485: a,SV439: a,SV236: a] :
( ( ( ( SV236 != SV439 ) )
= $false )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3727]) ).
thf(3751,plain,
! [SV439: a,SV236: a,SV485: a,SV396: a] :
( ( ( ( SV396 != SV485 ) )
= $false )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3727]) ).
thf(3752,plain,
! [SV396: a,SV485: a,SV439: a,SV236: a] :
( ( ( ( SV236 != SV439 ) )
= $false )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3728]) ).
thf(3753,plain,
! [SV439: a,SV236: a,SV485: a,SV396: a] :
( ( ( ( SV396 != SV485 ) )
= $false )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3728]) ).
thf(3754,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( less_eq @ SV245 @ SV402 )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3730]) ).
thf(3755,plain,
! [SV402: a,SV245: a,SV491: a,SV444: a] :
( ( ( less_eq @ SV444 @ SV491 )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3731]) ).
thf(3756,plain,
! [SV444: a,SV491: a,SV402: a,SV245: a] :
( ( ( less_eq @ SV245 @ SV402 )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3732]) ).
thf(3757,plain,
! [SV245: a,SV402: a,SV491: a,SV444: a] :
( ( ( less_eq @ SV444 @ SV491 )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( ( set_atLeastAtMost_a @ less_eq @ SV245 @ SV402 )
= ( set_atLeastAtMost_a @ less_eq @ SV444 @ SV491 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3733]) ).
thf(3758,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ( SV245 != SV444 ) )
= $false )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3734]) ).
thf(3759,plain,
! [SV444: a,SV245: a,SV491: a,SV402: a] :
( ( ( ( SV402 != SV491 ) )
= $false )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3734]) ).
thf(3760,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ~ ( ( SV245 != SV444 )
| ( SV402 != SV491 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3736]) ).
thf(3761,plain,
! [SV572: a,SV247: set_a,SV658: a] :
( ( ( ~ ( member_a @ SV658 @ SV247 ) )
= $true )
| ( ( less_eq @ ( sK86_SY1084 @ SV572 @ SV247 ) @ SV658 )
= $true )
| ( ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3737]) ).
thf(3762,plain,
! [SV572: a,SV247: set_a,SV654: a] :
( ( ( member_a @ SV654 @ SV247 )
= $false )
| ( ( less_eq @ ( sK84_SY1084 @ SV572 @ SV247 ) @ SV654 )
= $true )
| ( ( less_eq @ SV572 @ ( sK73_SY1238 @ SV572 @ SV247 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3738]) ).
thf(3763,plain,
! [SV376: a,SV586: a > $o,SV655: a,SV196: a > $o] :
( ( ( SV196 @ SV655 )
= $false )
| ( ( less_eq @ SV655 @ ( sK34_X2 @ SV586 @ SV376 @ SV196 ) )
= $true )
| ( ( SV586 @ ( greatest_a @ less_eq @ SV196 ) )
= $true )
| ( ( less_eq @ ( sK35_Y2 @ SV376 @ SV196 ) @ SV376 )
= $false )
| ( ( SV196 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3740]) ).
thf(3764,plain,
! [SV567: a,SV198: set_a,SV656: a] :
( ( ( member_a @ SV656 @ SV198 )
= $false )
| ( ( less_eq @ SV656 @ ( sK85_SY987 @ SV567 @ SV198 ) )
= $true )
| ( ( member_a @ ( sK69_SY1237 @ SV567 @ SV198 ) @ SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3741]) ).
thf(3765,plain,
! [SV473: a,SV377: a,SV199: a,SV421: a] :
( ( ( ~ ( less_eq @ SV421 @ SV199 ) )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( less_eq @ SV377 @ SV473 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3743]) ).
thf(3766,plain,
! [SV421: a,SV199: a,SV473: a,SV377: a] :
( ( ( ~ ( less_eq @ SV377 @ SV473 ) )
= $false )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( less_eq @ SV377 @ SV473 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3743]) ).
thf(3767,plain,
! [SV384: a,SV588: a > $o,SV657: a,SV208: a > $o] :
( ( ( SV208 @ SV657 )
= $false )
| ( ( less_eq @ ( sK27_X2 @ SV588 @ SV384 @ SV208 ) @ SV657 )
= $true )
| ( ( SV588 @ ( least_a @ less_eq @ SV208 ) )
= $true )
| ( ( less_eq @ SV384 @ ( sK28_Y2 @ SV384 @ SV208 ) )
= $false )
| ( ( SV208 @ SV384 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3745]) ).
thf(3768,plain,
! [SV432: a,SV602: a,SV659: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV659 ) )
= $true )
| ( ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV659 )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3746]) ).
thf(3769,plain,
! [SV432: a,SV602: a,SV660: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV660 )
| ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV660 ) )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3747]) ).
thf(3770,plain,
! [SV396: a,SV485: a,SV439: a,SV236: a] :
( ( ( SV236 = SV439 )
= $true )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3750]) ).
thf(3771,plain,
! [SV439: a,SV236: a,SV485: a,SV396: a] :
( ( ( SV396 = SV485 )
= $true )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3751]) ).
thf(3772,plain,
! [SV396: a,SV485: a,SV439: a,SV236: a] :
( ( ( SV236 = SV439 )
= $true )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3752]) ).
thf(3773,plain,
! [SV439: a,SV236: a,SV485: a,SV396: a] :
( ( ( SV396 = SV485 )
= $true )
| ( ( ~ ( ( SV236 != SV485 )
| ( SV396 != SV439 ) ) )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3753]) ).
thf(3774,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( SV245 = SV444 )
= $true )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3758]) ).
thf(3775,plain,
! [SV444: a,SV245: a,SV491: a,SV402: a] :
( ( ( SV402 = SV491 )
= $true )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3759]) ).
thf(3776,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ( SV245 != SV444 )
| ( SV402 != SV491 ) )
= $false )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3760]) ).
thf(3777,plain,
! [SV572: a,SV247: set_a,SV658: a] :
( ( ( member_a @ SV658 @ SV247 )
= $false )
| ( ( less_eq @ ( sK86_SY1084 @ SV572 @ SV247 ) @ SV658 )
= $true )
| ( ( member_a @ ( sK73_SY1238 @ SV572 @ SV247 ) @ SV247 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3761]) ).
thf(3778,plain,
! [SV473: a,SV377: a,SV199: a,SV421: a] :
( ( ( less_eq @ SV421 @ SV199 )
= $true )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( less_eq @ SV377 @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3765]) ).
thf(3779,plain,
! [SV421: a,SV199: a,SV473: a,SV377: a] :
( ( ( less_eq @ SV377 @ SV473 )
= $true )
| ( ( less_eq @ SV199 @ SV377 )
= $false )
| ( ( less_eq @ SV421 @ SV199 )
= $false )
| ( ( less_eq @ SV377 @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3766]) ).
thf(3780,plain,
! [SV432: a,SV602: a,SV659: a,SV217: a > $o] :
( ( ( SV217 @ SV659 )
= $false )
| ( ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV659 )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( SV217 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $true )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3768]) ).
thf(3781,plain,
! [SV432: a,SV602: a,SV660: a,SV217: a > $o] :
( ( ( ~ ( SV217 @ SV660 ) )
= $true )
| ( ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV660 )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3769]) ).
thf(3782,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 )
| ( SV396 != SV439 ) )
= $false )
| ( ( SV236 = SV439 )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3770]) ).
thf(3783,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 )
| ( SV396 != SV439 ) )
= $false )
| ( ( SV396 = SV485 )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3771]) ).
thf(3784,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 )
| ( SV396 != SV439 ) )
= $false )
| ( ( SV236 = SV439 )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3772]) ).
thf(3785,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 )
| ( SV396 != SV439 ) )
= $false )
| ( ( SV396 = SV485 )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3773]) ).
thf(3786,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3774]) ).
thf(3787,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3775]) ).
thf(3788,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( ( SV245 != SV444 ) )
= $false )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3776]) ).
thf(3789,plain,
! [SV444: a,SV245: a,SV491: a,SV402: a] :
( ( ( ( SV402 != SV491 ) )
= $false )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3776]) ).
thf(3790,plain,
! [SV432: a,SV602: a,SV660: a,SV217: a > $o] :
( ( ( SV217 @ SV660 )
= $false )
| ( ( less_eq @ ( least_a @ less_eq @ SV217 ) @ SV660 )
= $true )
| ( ( SV217 @ SV602 )
= $false )
| ( ( less_eq @ ( sK30_Y2 @ SV432 @ SV217 ) @ SV602 )
= $true )
| ( ( less_eq @ SV432 @ ( sK29_Y2 @ SV432 @ SV217 ) )
= $false )
| ( ( SV217 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3781]) ).
thf(3791,plain,
! [SV396: a,SV439: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 ) )
= $false )
| ( ( SV236 = SV439 )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3782]) ).
thf(3792,plain,
! [SV485: a,SV236: a,SV439: a,SV396: a] :
( ( ( ( SV396 != SV439 ) )
= $false )
| ( ( SV236 = SV439 )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3782]) ).
thf(3793,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 ) )
= $false )
| ( ( SV396 = SV485 )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3783]) ).
thf(3794,plain,
! [SV236: a,SV485: a,SV439: a,SV396: a] :
( ( ( ( SV396 != SV439 ) )
= $false )
| ( ( SV396 = SV485 )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3783]) ).
thf(3795,plain,
! [SV396: a,SV439: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 ) )
= $false )
| ( ( SV236 = SV439 )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3784]) ).
thf(3796,plain,
! [SV485: a,SV236: a,SV439: a,SV396: a] :
( ( ( ( SV396 != SV439 ) )
= $false )
| ( ( SV236 = SV439 )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3784]) ).
thf(3797,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( ( SV236 != SV485 ) )
= $false )
| ( ( SV396 = SV485 )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3785]) ).
thf(3798,plain,
! [SV236: a,SV485: a,SV439: a,SV396: a] :
( ( ( ( SV396 != SV439 ) )
= $false )
| ( ( SV396 = SV485 )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3785]) ).
thf(3799,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 ) )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3786]) ).
thf(3800,plain,
! [SV402: a,SV245: a,SV491: a,SV444: a] :
( ( ( ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3786]) ).
thf(3801,plain,
! [SV444: a,SV491: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 ) )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3787]) ).
thf(3802,plain,
! [SV245: a,SV402: a,SV491: a,SV444: a] :
( ( ( ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3787]) ).
thf(3803,plain,
! [SV491: a,SV402: a,SV444: a,SV245: a] :
( ( ( SV245 = SV444 )
= $true )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3788]) ).
thf(3804,plain,
! [SV444: a,SV245: a,SV491: a,SV402: a] :
( ( ( SV402 = SV491 )
= $true )
| ( ( ~ ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) ) )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3789]) ).
thf(3805,plain,
! [SV396: a,SV439: a,SV485: a,SV236: a] :
( ( ( SV236 = SV485 )
= $true )
| ( ( SV236 = SV439 )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3791]) ).
thf(3806,plain,
! [SV485: a,SV236: a,SV439: a,SV396: a] :
( ( ( SV396 = SV439 )
= $true )
| ( ( SV236 = SV439 )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3792]) ).
thf(3807,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( SV236 = SV485 )
= $true )
| ( ( SV396 = SV485 )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3793]) ).
thf(3808,plain,
! [SV236: a,SV485: a,SV439: a,SV396: a] :
( ( ( SV396 = SV439 )
= $true )
| ( ( SV396 = SV485 )
= $true )
| ( ( SV236 = SV439 )
= $false )
| ( ( SV396 = SV485 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3794]) ).
thf(3809,plain,
! [SV396: a,SV439: a,SV485: a,SV236: a] :
( ( ( SV236 = SV485 )
= $true )
| ( ( SV236 = SV439 )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3795]) ).
thf(3810,plain,
! [SV485: a,SV236: a,SV439: a,SV396: a] :
( ( ( SV396 = SV439 )
= $true )
| ( ( SV236 = SV439 )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3796]) ).
thf(3811,plain,
! [SV439: a,SV396: a,SV485: a,SV236: a] :
( ( ( SV236 = SV485 )
= $true )
| ( ( SV396 = SV485 )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3797]) ).
thf(3812,plain,
! [SV236: a,SV485: a,SV439: a,SV396: a] :
( ( ( SV396 = SV439 )
= $true )
| ( ( SV396 = SV485 )
= $true )
| ( ( SV236 = SV485 )
= $false )
| ( ( SV396 = SV439 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3798]) ).
thf(3813,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ( less_eq @ SV245 @ SV402 ) )
= $true )
| ( ( SV245 = SV444 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3799]) ).
thf(3814,plain,
! [SV402: a,SV245: a,SV491: a,SV444: a] :
( ( ( ~ ( less_eq @ SV444 @ SV491 ) )
= $true )
| ( ( SV245 = SV444 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3800]) ).
thf(3815,plain,
! [SV444: a,SV491: a,SV402: a,SV245: a] :
( ( ( ~ ( less_eq @ SV245 @ SV402 ) )
= $true )
| ( ( SV402 = SV491 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3801]) ).
thf(3816,plain,
! [SV245: a,SV402: a,SV491: a,SV444: a] :
( ( ( ~ ( less_eq @ SV444 @ SV491 ) )
= $true )
| ( ( SV402 = SV491 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3802]) ).
thf(3817,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3803]) ).
thf(3818,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 )
| ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3804]) ).
thf(3819,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( less_eq @ SV245 @ SV402 )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3813]) ).
thf(3820,plain,
! [SV402: a,SV245: a,SV491: a,SV444: a] :
( ( ( less_eq @ SV444 @ SV491 )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3814]) ).
thf(3821,plain,
! [SV444: a,SV491: a,SV402: a,SV245: a] :
( ( ( less_eq @ SV245 @ SV402 )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3815]) ).
thf(3822,plain,
! [SV245: a,SV402: a,SV491: a,SV444: a] :
( ( ( less_eq @ SV444 @ SV491 )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( SV245 = SV444 )
= $false )
| ( ( SV402 = SV491 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3816]) ).
thf(3823,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 ) )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3817]) ).
thf(3824,plain,
! [SV402: a,SV245: a,SV491: a,SV444: a] :
( ( ( ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3817]) ).
thf(3825,plain,
! [SV444: a,SV491: a,SV402: a,SV245: a] :
( ( ( ~ ~ ( less_eq @ SV245 @ SV402 ) )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3818]) ).
thf(3826,plain,
! [SV245: a,SV402: a,SV491: a,SV444: a] :
( ( ( ~ ~ ( less_eq @ SV444 @ SV491 ) )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3818]) ).
thf(3827,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( ~ ( less_eq @ SV245 @ SV402 ) )
= $true )
| ( ( SV245 = SV444 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3823]) ).
thf(3828,plain,
! [SV402: a,SV245: a,SV491: a,SV444: a] :
( ( ( ~ ( less_eq @ SV444 @ SV491 ) )
= $true )
| ( ( SV245 = SV444 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3824]) ).
thf(3829,plain,
! [SV444: a,SV491: a,SV402: a,SV245: a] :
( ( ( ~ ( less_eq @ SV245 @ SV402 ) )
= $true )
| ( ( SV402 = SV491 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3825]) ).
thf(3830,plain,
! [SV245: a,SV402: a,SV491: a,SV444: a] :
( ( ( ~ ( less_eq @ SV444 @ SV491 ) )
= $true )
| ( ( SV402 = SV491 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3826]) ).
thf(3831,plain,
! [SV491: a,SV444: a,SV402: a,SV245: a] :
( ( ( less_eq @ SV245 @ SV402 )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3827]) ).
thf(3832,plain,
! [SV402: a,SV245: a,SV491: a,SV444: a] :
( ( ( less_eq @ SV444 @ SV491 )
= $false )
| ( ( SV245 = SV444 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3828]) ).
thf(3833,plain,
! [SV444: a,SV491: a,SV402: a,SV245: a] :
( ( ( less_eq @ SV245 @ SV402 )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3829]) ).
thf(3834,plain,
! [SV245: a,SV402: a,SV491: a,SV444: a] :
( ( ( less_eq @ SV444 @ SV491 )
= $false )
| ( ( SV402 = SV491 )
= $true )
| ( ( less_eq @ SV245 @ SV402 )
= $true )
| ( ( less_eq @ SV444 @ SV491 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3830]) ).
thf(3835,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[447,3834,3833,3832,3831,3822,3821,3820,3819,3812,3811,3810,3809,3808,3807,3806,3805,3790,3780,3779,3778,3777,3767,3764,3763,3762,3757,3756,3755,3754,3749,3748,3744,3742,3739,3735,3729,3726,3725,3724,3723,3722,3721,3720,3719,3717,3715,3712,3711,3710,3709,3708,3704,3703,3700,3697,3696,3686,3684,3683,3682,3681,3680,3679,3678,3677,3670,3665,3664,3661,3654,3653,3652,3651,3646,3644,3643,3642,3641,3640,3639,3638,3637,3629,3627,3625,3619,3605,3603,3600,3597,3593,3589,3574,3573,3567,3562,3560,3559,3539,3538,3527,3523,3522,3519,3517,3515,3507,3506,3502,3498,3477,3476,3475,3472,3471,3468,3467,3466,3460,3455,3454,3452,3450,3448,3442,3439,3438,3435,3434,3433,3432,3427,3426,3424,3423,3422,3420,3409,3408,3406,3404,3402,3399,3398,3396,3390,3389,3387,3385,3382,3381,3379,3373,3372,3370,3367,3363,3362,3359,3354,3340,3339,3335,3334,3331,3330,3327,3326,3319,3303,3302,3297,3281,3280,3277,3276,3269,3265,3259,3258,3255,3254,3252,3246,3245,3242,3239,3232,3227,3225,3222,3213,3212,3204,3200,3199,3177,3176,3174,3173,3169,3168,3162,3161,3157,3156,3155,3129,3128,3096,3093,3092,3089,3088,3087,3086,3085,3084,3082,3081,3076,3066,3047,3044,3040,3037,3029,3023,3016,3001,2998,2991,2987,2980,2972,2966,2955,2950,2946,2945,2944,2943,2942,2941,2940,2939,2938,2937,2936,2935,2927,2926,2925,2924,2915,2903,2898,2897,2894,2891,2877,2862,2841,2838,2822,2819,2812,2804,2795,2790,2788,2787,2785,2784,2774,2772,2771,2770,2769,2767,2766,2763,2762,2760,2759,2758,2757,2750,2727,2693,2678,2670,2647,2631,2627,2626,2625,2624,2623,2622,2621,2620,2619,2614,2613,2612,2611,2610,2609,2608,2607,2601,2600,2599,2598,2597,2596,2595,2594,2593,2592,2591,2590,2589,2588,2587,2586,2585,2568,2567,2566,2565,2564,2563,2562,2561,2560,2559,2558,2557,2556,2555,2554,2553,2552,2551,2550,2549,2548,2547,2546,2545,2544,2543,2542,2541,2540,2539,2538,2537,2536,2535,2534,2533,2532,2528,2527,2526,2525,2524,2523,2522,2521,2515,2494,2493,2478,2467,2466,2460,2459,2451,2443,2439,2428,2427,2422,2364,2361,2356,2353,2352,2351,2350,2349,2327,2322,2309,2301,2292,2289,2281,2280,2273,2272,2264,2257,2245,2236,2232,2176,2175,2174,2173,2172,2149,2148,2147,2146,2145,2144,2143,2142,2135,2130,2126,2120,2117,2113,2112,2111,2110,2109,2108,2096,2090,2088,2085,2075,2071,2067,2062,2042,2039,2018,1994,1993,1992,1991,1981,1964,1963,1962,1961,1960,1959,1954,1953,1950,1949,1919,1915,1907,1905,1897,1882,1879,1873,1871,1868,1860,1848,1838,1832,1828,1823,1816,1809,1808,1806,1804,1800,1799,1798,1786,1785,1751,1750,1749,1744,1743,1739,1738,1730,1729,1723,1722,1714,1712,1707,1706,1695,1692,1687,1685,1667,1653,1648,1641,1639,1636,1626,1624,1618,1613,1610,1609,1594,1593,1575,1560,1550,1549,1542,1541,1539,1538,1535,1534,1528,1527,1525,1524,1512,1501,1477,1475,1468,1464,1455,1446,1441,1437,1424,1422,1420,1418,1410,1409,1407,1403,1398,1396,1381,1379,1354,1353,1350,1347,1341,1340,1339,1338,1336,1335,1328,1326,1318,1310,1308,1301,1295,1280,1278,1275,1274,1273,1272,1271,1270,1267,1266,1265,1264,1263,1262,1261,1260,1256,1254,1231,1227,1205,1196,1188,1187,1178,1153,1152,1149,1148,1144,1143,1142,1140,1138,1136,1134,1132,1131,1087,1086,1077,1076,1068,1067,1058,1057,1033,1032,1031,1030,1029,1028,1027,1026,1025,1020,1017,1014,1011,1008,987,985,978,968,960,955,951,942,938,915,914,911,910,899,891,890,887,855,843,840,839,783,782,770,767,764,761,598,597,583,582,551,543,457,456,455,454,453,452,451,450,449,448]) ).
thf(3836,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP124^1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Thu Jun 2 16:59:36 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.42 .......
% 0.20/0.51
% 0.20/0.51 No.of.Axioms: 270
% 0.20/0.51
% 0.20/0.51 Length.of.Defs: 0
% 0.20/0.51
% 0.20/0.51 Contains.Choice.Funs: false
% 0.20/0.57 ..............
% 0.45/0.62 (rf:2,axioms:139,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:272,loop_count:0,foatp_calls:0,translation:fof_full)......................................................................................eprover: CPU time limit exceeded, terminating
% 25.85/26.08 .....................................................eprover: CPU time limit exceeded, terminating
% 83.38/83.62 ignored arguments false
% 83.46/83.65 .......
% 83.50/83.72 (rf:0,axioms:270,ps:0,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:272,loop_count:0,foatp_calls:0,translation:fof_full)...............................................................................................................................................................................
% 92.64/92.81
% 92.64/92.81 ********************************
% 92.64/92.81 * All subproblems solved! *
% 92.64/92.81 ********************************
% 92.64/92.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:270,ps:0,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3835,loop_count:0,foatp_calls:1,translation:fof_full)
% 96.94/97.14
% 96.94/97.14 %**** Beginning of derivation protocol ****
% 96.94/97.14 % SZS output start CNFRefutation
% See solution above
% 96.97/97.16
% 96.97/97.16 %**** End of derivation protocol ****
% 96.97/97.16 %**** no. of clauses in derivation: 3836 ****
% 96.97/97.16 %**** clause counter: 3835 ****
% 96.97/97.16
% 96.97/97.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:270,ps:0,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3835,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------