%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP124^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:24:12 AM UTC 2026
% Result : Theorem 134.58s 22.97s
% Output : CNFRefutation 134.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 100
% Syntax : Number of formulae : 979 ( 566 unt; 0 typ; 0 def)
% Number of atoms : 5165 (2037 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 10510 (1162 ~;1088 |; 12 &;8074 @)
% ( 0 <=>; 174 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 154 ( 154 >; 0 *; 0 +; 0 <<)
% Number of symbols : 62 ( 59 usr; 7 con; 0-5 aty)
% Number of variables : 2704 ( 0 ^;2704 !; 0 ?;2704 :)
% 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_SY484,type,
sK10_SY484: a > a > a > a ).
thf(tp_sK11_SY318,type,
sK11_SY318: a > a > ( a > a > a ) > a ).
thf(tp_sK12_SY330,type,
sK12_SY330: a > a > ( a > a > a ) > a ).
thf(tp_sK13_SY485,type,
sK13_SY485: a > a > ( a > a > a ) > a ).
thf(tp_sK14_SY486,type,
sK14_SY486: a > a > ( a > a > a ) > a ).
thf(tp_sK15_SY320,type,
sK15_SY320: a > a > ( a > a > a ) > a ).
thf(tp_sK16_SY332,type,
sK16_SY332: a > a > ( a > a > a ) > a ).
thf(tp_sK17_SY487,type,
sK17_SY487: ( a > a > a ) > a > a > a ).
thf(tp_sK18_SY489,type,
sK18_SY489: ( a > a > a ) > a > a > a ).
thf(tp_sK19_SY491,type,
sK19_SY491: a > a > ( a > a > a ) > a ).
thf(tp_sK1_SY316,type,
sK1_SY316: a > a > ( a > a > a ) > a ).
thf(tp_sK20_SY492,type,
sK20_SY492: ( a > a > a ) > a > a > a ).
thf(tp_sK2_SY328,type,
sK2_SY328: a > a > ( a > a > a ) > a ).
thf(tp_sK3_SX3,type,
sK3_SX3: a > a > a > a ).
thf(tp_sK4_SX3,type,
sK4_SX3: a > a > a > a ).
thf(tp_sK5_SY477,type,
sK5_SY477: ( a > a > a ) > a > a > a ).
thf(tp_sK6_SY478,type,
sK6_SY478: a > a > ( a > a > a ) > a ).
thf(tp_sK7_SY479,type,
sK7_SY479: a > a > a > a ).
thf(tp_sK8_SY481,type,
sK8_SY481: a > a > a > a ).
thf(tp_sK9_SY483,type,
sK9_SY483: a > a > 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(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(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(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 ) )
= $false ),
inference(unfold_def,[status(thm)],[272]) ).
thf(274,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( less_eq @ ( sup @ X @ Y ) @ Z )
= ( ( less_eq @ X @ Z )
& ( less_eq @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(275,plain,
( ( ! [B: a,C: a,A: a] :
( ( less_eq @ ( sup @ B @ C ) @ A )
= ( ( less_eq @ B @ A )
& ( less_eq @ C @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(276,plain,
( ( ! [A: a,B: a,C: a] :
( ( less_eq @ A @ ( inf @ B @ C ) )
= ( ( less_eq @ A @ B )
& ( less_eq @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(277,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( less_eq @ X @ ( inf @ Y @ Z ) )
= ( ( less_eq @ X @ Y )
& ( less_eq @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(278,plain,
( ( ! [X: a,Y: a] :
( ( less_eq @ X @ Y )
= ( ( sup @ X @ Y )
= Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(279,plain,
( ( ! [A: a,B: a,X: a] :
( ( less_eq @ ( sup @ A @ B ) @ X )
=> ~ ( ( less_eq @ A @ X )
=> ~ ( less_eq @ B @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(280,plain,
( ( ! [A: a,X: a,B: a] :
( ( less_eq @ A @ X )
=> ( ( less_eq @ B @ X )
=> ( less_eq @ ( sup @ A @ B ) @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(281,plain,
( ( ! [X: a,A: a,B: a] :
( ( less_eq @ X @ A )
=> ( less_eq @ X @ ( sup @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(282,plain,
( ( ! [X: a,B: a,A: a] :
( ( less_eq @ X @ B )
=> ( less_eq @ X @ ( sup @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(283,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
=> ( ( sup @ A @ B )
= A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(284,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
=> ( ( sup @ A @ B )
= B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(285,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
= ( ( sup @ A @ B )
= A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(286,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
= ( ( sup @ A @ B )
= B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(287,plain,
( ( ! [B: a,C: a,A: a] :
( ( less_eq @ ( sup @ B @ C ) @ A )
=> ~ ( ( less_eq @ B @ A )
=> ~ ( less_eq @ C @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(288,plain,
( ( ! [B: a,A: a,C: a] :
( ( less_eq @ B @ A )
=> ( ( less_eq @ C @ A )
=> ( less_eq @ ( sup @ B @ C ) @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(289,plain,
( ( ! [A: a,B: a] : ( less_eq @ A @ ( sup @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(290,plain,
( ( ! [B: a,A: a] : ( less_eq @ B @ ( sup @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(291,plain,
( ( ! [C: a,A: a,B: a] :
( ( less_eq @ C @ A )
=> ( less_eq @ C @ ( sup @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(292,plain,
( ( ! [C: a,B: a,A: a] :
( ( less_eq @ C @ B )
=> ( less_eq @ C @ ( sup @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(293,plain,
( ( ! [C: a,A: a,D: a,B: a] :
( ( less_eq @ C @ A )
=> ( ( less_eq @ D @ B )
=> ( less_eq @ ( sup @ C @ D ) @ ( sup @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(294,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
=> ( A
= ( sup @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(295,plain,
( ( ! [A: a,B: a] :
( ( A
= ( sup @ A @ B ) )
=> ( less_eq @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(296,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
= ( A
= ( sup @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(297,plain,
( ( ! [Y: a,X: a] :
( ( less_eq @ Y @ X )
=> ( ( sup @ X @ Y )
= X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(298,plain,
( ( ! [X: a,Y: a] :
( ( less_eq @ X @ Y )
=> ( ( sup @ X @ Y )
= Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(299,plain,
( ( ! [X: a,Y: a] : ( less_eq @ X @ ( sup @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(300,plain,
( ( ! [Y: a,X: a] : ( less_eq @ Y @ ( sup @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(301,plain,
( ( ! [Y: a,X: a,Z: a] :
( ( less_eq @ Y @ X )
=> ( ( less_eq @ Z @ X )
=> ( less_eq @ ( sup @ Y @ Z ) @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(302,plain,
( ( ! [A: a,C: a,B: a,D: a] :
( ( less_eq @ A @ C )
=> ( ( less_eq @ B @ D )
=> ( less_eq @ ( sup @ A @ B ) @ ( sup @ C @ D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(303,plain,
( ( ! [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 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(304,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
=> ( ( inf @ A @ B )
= A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(305,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
=> ( ( inf @ A @ B )
= B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(306,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
= ( ( inf @ A @ B )
= A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(307,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
= ( ( inf @ A @ B )
= B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(308,plain,
( ( ! [A: a,B: a,C: a] :
( ( less_eq @ A @ ( inf @ B @ C ) )
=> ~ ( ( less_eq @ A @ B )
=> ~ ( less_eq @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(309,plain,
( ( ! [A: a,B: a,C: a] :
( ( less_eq @ A @ B )
=> ( ( less_eq @ A @ C )
=> ( less_eq @ A @ ( inf @ B @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(310,plain,
( ( ! [A: a,B: a] : ( less_eq @ ( inf @ A @ B ) @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(311,plain,
( ( ! [A: a,B: a] : ( less_eq @ ( inf @ A @ B ) @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(312,plain,
( ( ! [A: a,C: a,B: a] :
( ( less_eq @ A @ C )
=> ( less_eq @ ( inf @ A @ B ) @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(313,plain,
( ( ! [B: a,C: a,A: a] :
( ( less_eq @ B @ C )
=> ( less_eq @ ( inf @ A @ B ) @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(314,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
=> ( A
= ( inf @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(315,plain,
( ( ! [A: a,B: a] :
( ( A
= ( inf @ A @ B ) )
=> ( less_eq @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(316,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
= ( A
= ( inf @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(317,plain,
( ( ! [X: a,Y: a] :
( ( less_eq @ X @ Y )
=> ( ( inf @ X @ Y )
= X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(318,plain,
( ( ! [Y: a,X: a] :
( ( less_eq @ Y @ X )
=> ( ( inf @ X @ Y )
= Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(319,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( less_eq @ X @ Y )
=> ( ( less_eq @ X @ Z )
=> ( less_eq @ X @ ( inf @ Y @ Z ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(320,plain,
( ( ! [X: a,Y: a] : ( less_eq @ ( inf @ X @ Y ) @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(321,plain,
( ( ! [X: a,Y: a] : ( less_eq @ ( inf @ X @ Y ) @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(322,plain,
( ( ! [A: a,C: a,B: a,D: a] :
( ( less_eq @ A @ C )
=> ( ( less_eq @ B @ D )
=> ( less_eq @ ( inf @ A @ B ) @ ( inf @ C @ D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(323,plain,
( ( ! [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 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(324,plain,
( ( ! [X: a,Y: a] :
( ( less_eq @ X @ Y )
= ( ( inf @ X @ Y )
= X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(325,plain,
( ( ! [X: a,A: a,B: a] :
( ( less_eq @ X @ ( inf @ A @ B ) )
=> ~ ( ( less_eq @ X @ A )
=> ~ ( less_eq @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(326,plain,
( ( ! [X: a,A: a,B: a] :
( ( less_eq @ X @ A )
=> ( ( less_eq @ X @ B )
=> ( less_eq @ X @ ( inf @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(327,plain,
( ( ! [A: a,X: a,B: a] :
( ( less_eq @ A @ X )
=> ( less_eq @ ( inf @ A @ B ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(328,plain,
( ( ! [B: a,X: a,A: a] :
( ( less_eq @ B @ X )
=> ( less_eq @ ( inf @ A @ B ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(329,plain,
( ( ! [X: a,Y: a,Z: a] : ( less_eq @ ( sup @ X @ ( inf @ Y @ Z ) ) @ ( inf @ ( sup @ X @ Y ) @ ( sup @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(330,plain,
( ( ! [X: a,Y: a,Z: a] : ( less_eq @ ( sup @ ( inf @ X @ Y ) @ ( inf @ X @ Z ) ) @ ( inf @ X @ ( sup @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[228]) ).
thf(331,plain,
( ( lattic1885654924_set_a @ inf )
= $true ),
inference(unfold_def,[status(thm)],[229]) ).
thf(332,plain,
( ( lattic1885654924_set_a @ sup )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(333,plain,
( ( abel_semigroup_a @ inf )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(334,plain,
( ( abel_semigroup_a @ sup )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(335,plain,
( ( semilattice_a @ inf )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(336,plain,
( ( semilattice_a @ sup )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(337,plain,
( ( semigroup_a @ inf )
= $true ),
inference(unfold_def,[status(thm)],[235]) ).
thf(338,plain,
( ( semigroup_a @ sup )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(339,plain,
( ( finite40241356em_a_a @ inf )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(340,plain,
( ( finite40241356em_a_a @ sup )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(341,plain,
( ( modula1144073633_aux_a = modula1144073633_aux_a )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(342,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(unfold_def,[status(thm)],[240]) ).
thf(343,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(unfold_def,[status(thm)],[241]) ).
thf(344,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(unfold_def,[status(thm)],[242]) ).
thf(345,plain,
( ( ! [X: a,Y: a] :
( ( sup @ X @ ( inf @ X @ Y ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(346,plain,
( ( ! [X: a,Y: a] :
( ( inf @ X @ ( sup @ X @ Y ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(347,plain,
( ( ! [X: a,Y: a] :
( ( sup @ X @ ( sup @ X @ Y ) )
= ( sup @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(348,plain,
( ( ! [X: a] :
( ( sup @ X @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[246]) ).
thf(349,plain,
( ( ! [A: a,B: a] :
( ( sup @ ( sup @ A @ B ) @ B )
= ( sup @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247]) ).
thf(350,plain,
( ( ! [A: a,B: a] :
( ( sup @ A @ ( sup @ A @ B ) )
= ( sup @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(351,plain,
( ( ! [A: a] :
( ( sup @ A @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(352,plain,
( ( ! [X: a,Y: a] :
( ( inf @ ( inf @ X @ Y ) @ Y )
= ( inf @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(353,plain,
( ( ! [X: a,Y: a] :
( ( inf @ X @ ( inf @ X @ Y ) )
= ( inf @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(354,plain,
( ( ! [X: a] :
( ( inf @ X @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(355,plain,
( ( ! [A: a,B: a] :
( ( inf @ ( inf @ A @ B ) @ B )
= ( inf @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(356,plain,
( ( ! [A: a,B: a] :
( ( inf @ A @ ( inf @ A @ B ) )
= ( inf @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(357,plain,
( ( ! [A: a] :
( ( inf @ A @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(358,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(unfold_def,[status(thm)],[256]) ).
thf(359,plain,
( ( ! [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 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(360,plain,
( ( ! [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 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(361,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( sup @ X @ ( sup @ Y @ Z ) )
= ( sup @ Y @ ( sup @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(362,plain,
( ( ! [X: a,Y: a] :
( ( sup @ X @ Y )
= ( sup @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(363,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( sup @ ( sup @ X @ Y ) @ Z )
= ( sup @ X @ ( sup @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(364,plain,
( ( ! [B: a,A: a,C: a] :
( ( sup @ B @ ( sup @ A @ C ) )
= ( sup @ A @ ( sup @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(365,plain,
( ( ! [A: a,B: a] :
( ( sup @ A @ B )
= ( sup @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(366,plain,
( ( ! [A: a,B: a,C: a] :
( ( sup @ ( sup @ A @ B ) @ C )
= ( sup @ A @ ( sup @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(367,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( inf @ X @ ( inf @ Y @ Z ) )
= ( inf @ Y @ ( inf @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(368,plain,
( ( ! [X: a,Y: a] :
( ( inf @ X @ Y )
= ( inf @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(369,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( inf @ ( inf @ X @ Y ) @ Z )
= ( inf @ X @ ( inf @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(370,plain,
( ( ! [B: a,A: a,C: a] :
( ( inf @ B @ ( inf @ A @ C ) )
= ( inf @ A @ ( inf @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(371,plain,
( ( ! [A: a,B: a] :
( ( inf @ A @ B )
= ( inf @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(372,plain,
( ( ! [A: a,B: a,C: a] :
( ( inf @ ( inf @ A @ B ) @ C )
= ( inf @ A @ ( inf @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(373,plain,
( ( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
!= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) )
= $true ),
inference(polarity_switch,[status(thm)],[273]) ).
thf(374,plain,
( ( ! [A: a,B: a,C: a] :
( ( inf @ ( inf @ A @ B ) @ C )
= ( inf @ A @ ( inf @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(375,plain,
( ( ! [A: a,B: a] :
( ( inf @ A @ B )
= ( inf @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(376,plain,
( ( ! [B: a,A: a,C: a] :
( ( inf @ B @ ( inf @ A @ C ) )
= ( inf @ A @ ( inf @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(377,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( inf @ ( inf @ X @ Y ) @ Z )
= ( inf @ X @ ( inf @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(378,plain,
( ( ! [X: a,Y: a] :
( ( inf @ X @ Y )
= ( inf @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(379,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( inf @ X @ ( inf @ Y @ Z ) )
= ( inf @ Y @ ( inf @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(380,plain,
( ( ! [A: a,B: a,C: a] :
( ( sup @ ( sup @ A @ B ) @ C )
= ( sup @ A @ ( sup @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(381,plain,
( ( ! [A: a,B: a] :
( ( sup @ A @ B )
= ( sup @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(382,plain,
( ( ! [B: a,A: a,C: a] :
( ( sup @ B @ ( sup @ A @ C ) )
= ( sup @ A @ ( sup @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(383,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( sup @ ( sup @ X @ Y ) @ Z )
= ( sup @ X @ ( sup @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(384,plain,
( ( ! [X: a,Y: a] :
( ( sup @ X @ Y )
= ( sup @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(385,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( sup @ X @ ( sup @ Y @ Z ) )
= ( sup @ Y @ ( sup @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(386,plain,
( ( ! [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 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(387,plain,
( ( ! [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 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(388,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)],[358]) ).
thf(389,plain,
( ( ! [A: a] :
( ( inf @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(390,plain,
( ( ! [A: a,B: a] :
( ( inf @ A @ ( inf @ A @ B ) )
= ( inf @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(391,plain,
( ( ! [A: a,B: a] :
( ( inf @ ( inf @ A @ B ) @ B )
= ( inf @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(392,plain,
( ( ! [X: a] :
( ( inf @ X @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(393,plain,
( ( ! [X: a,Y: a] :
( ( inf @ X @ ( inf @ X @ Y ) )
= ( inf @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(394,plain,
( ( ! [X: a,Y: a] :
( ( inf @ ( inf @ X @ Y ) @ Y )
= ( inf @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(395,plain,
( ( ! [A: a] :
( ( sup @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[351]) ).
thf(396,plain,
( ( ! [A: a,B: a] :
( ( sup @ A @ ( sup @ A @ B ) )
= ( sup @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(397,plain,
( ( ! [A: a,B: a] :
( ( sup @ ( sup @ A @ B ) @ B )
= ( sup @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(398,plain,
( ( ! [X: a] :
( ( sup @ X @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(399,plain,
( ( ! [X: a,Y: a] :
( ( sup @ X @ ( sup @ X @ Y ) )
= ( sup @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[347]) ).
thf(400,plain,
( ( ! [X: a,Y: a] :
( ( inf @ X @ ( sup @ X @ Y ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[346]) ).
thf(401,plain,
( ( ! [X: a,Y: a] :
( ( sup @ X @ ( inf @ X @ Y ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[345]) ).
thf(402,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)],[344]) ).
thf(403,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)],[343]) ).
thf(404,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)],[342]) ).
thf(405,plain,
( ( modula1144073633_aux_a = modula1144073633_aux_a )
= $true ),
inference(copy,[status(thm)],[341]) ).
thf(406,plain,
( ( finite40241356em_a_a @ sup )
= $true ),
inference(copy,[status(thm)],[340]) ).
thf(407,plain,
( ( finite40241356em_a_a @ inf )
= $true ),
inference(copy,[status(thm)],[339]) ).
thf(408,plain,
( ( semigroup_a @ sup )
= $true ),
inference(copy,[status(thm)],[338]) ).
thf(409,plain,
( ( semigroup_a @ inf )
= $true ),
inference(copy,[status(thm)],[337]) ).
thf(410,plain,
( ( semilattice_a @ sup )
= $true ),
inference(copy,[status(thm)],[336]) ).
thf(411,plain,
( ( semilattice_a @ inf )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(412,plain,
( ( abel_semigroup_a @ sup )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(413,plain,
( ( abel_semigroup_a @ inf )
= $true ),
inference(copy,[status(thm)],[333]) ).
thf(414,plain,
( ( lattic1885654924_set_a @ sup )
= $true ),
inference(copy,[status(thm)],[332]) ).
thf(415,plain,
( ( lattic1885654924_set_a @ inf )
= $true ),
inference(copy,[status(thm)],[331]) ).
thf(416,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)],[330]) ).
thf(417,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)],[329]) ).
thf(418,plain,
( ( ! [B: a,X: a,A: a] :
( ( less_eq @ B @ X )
=> ( less_eq @ ( inf @ A @ B ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[328]) ).
thf(419,plain,
( ( ! [A: a,X: a,B: a] :
( ( less_eq @ A @ X )
=> ( less_eq @ ( inf @ A @ B ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[327]) ).
thf(420,plain,
( ( ! [X: a,A: a,B: a] :
( ( less_eq @ X @ A )
=> ( ( less_eq @ X @ B )
=> ( less_eq @ X @ ( inf @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[326]) ).
thf(421,plain,
( ( ! [X: a,A: a,B: a] :
( ( less_eq @ X @ ( inf @ A @ B ) )
=> ~ ( ( less_eq @ X @ A )
=> ~ ( less_eq @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[325]) ).
thf(422,plain,
( ( ! [X: a,Y: a] :
( ( less_eq @ X @ Y )
= ( ( inf @ X @ Y )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[324]) ).
thf(423,plain,
( ( ! [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 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[323]) ).
thf(424,plain,
( ( ! [A: a,C: a,B: a,D: a] :
( ( less_eq @ A @ C )
=> ( ( less_eq @ B @ D )
=> ( less_eq @ ( inf @ A @ B ) @ ( inf @ C @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[322]) ).
thf(425,plain,
( ( ! [X: a,Y: a] : ( less_eq @ ( inf @ X @ Y ) @ Y ) )
= $true ),
inference(copy,[status(thm)],[321]) ).
thf(426,plain,
( ( ! [X: a,Y: a] : ( less_eq @ ( inf @ X @ Y ) @ X ) )
= $true ),
inference(copy,[status(thm)],[320]) ).
thf(427,plain,
( ( ! [X: a,Y: a,Z: a] :
( ( less_eq @ X @ Y )
=> ( ( less_eq @ X @ Z )
=> ( less_eq @ X @ ( inf @ Y @ Z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[319]) ).
thf(428,plain,
( ( ! [Y: a,X: a] :
( ( less_eq @ Y @ X )
=> ( ( inf @ X @ Y )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[318]) ).
thf(429,plain,
( ( ! [X: a,Y: a] :
( ( less_eq @ X @ Y )
=> ( ( inf @ X @ Y )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[317]) ).
thf(430,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
= ( A
= ( inf @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[316]) ).
thf(431,plain,
( ( ! [A: a,B: a] :
( ( A
= ( inf @ A @ B ) )
=> ( less_eq @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[315]) ).
thf(432,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
=> ( A
= ( inf @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[314]) ).
thf(433,plain,
( ( ! [B: a,C: a,A: a] :
( ( less_eq @ B @ C )
=> ( less_eq @ ( inf @ A @ B ) @ C ) ) )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(434,plain,
( ( ! [A: a,C: a,B: a] :
( ( less_eq @ A @ C )
=> ( less_eq @ ( inf @ A @ B ) @ C ) ) )
= $true ),
inference(copy,[status(thm)],[312]) ).
thf(435,plain,
( ( ! [A: a,B: a] : ( less_eq @ ( inf @ A @ B ) @ B ) )
= $true ),
inference(copy,[status(thm)],[311]) ).
thf(436,plain,
( ( ! [A: a,B: a] : ( less_eq @ ( inf @ A @ B ) @ A ) )
= $true ),
inference(copy,[status(thm)],[310]) ).
thf(437,plain,
( ( ! [A: a,B: a,C: a] :
( ( less_eq @ A @ B )
=> ( ( less_eq @ A @ C )
=> ( less_eq @ A @ ( inf @ B @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[309]) ).
thf(438,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)],[308]) ).
thf(439,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
= ( ( inf @ A @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[307]) ).
thf(440,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
= ( ( inf @ A @ B )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[306]) ).
thf(441,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
=> ( ( inf @ A @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[305]) ).
thf(442,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
=> ( ( inf @ A @ B )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[304]) ).
thf(443,plain,
( ( ! [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 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[303]) ).
thf(444,plain,
( ( ! [A: a,C: a,B: a,D: a] :
( ( less_eq @ A @ C )
=> ( ( less_eq @ B @ D )
=> ( less_eq @ ( sup @ A @ B ) @ ( sup @ C @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[302]) ).
thf(445,plain,
( ( ! [Y: a,X: a,Z: a] :
( ( less_eq @ Y @ X )
=> ( ( less_eq @ Z @ X )
=> ( less_eq @ ( sup @ Y @ Z ) @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[301]) ).
thf(446,plain,
( ( ! [Y: a,X: a] : ( less_eq @ Y @ ( sup @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[300]) ).
thf(447,plain,
( ( ! [X: a,Y: a] : ( less_eq @ X @ ( sup @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[299]) ).
thf(448,plain,
( ( ! [X: a,Y: a] :
( ( less_eq @ X @ Y )
=> ( ( sup @ X @ Y )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[298]) ).
thf(449,plain,
( ( ! [Y: a,X: a] :
( ( less_eq @ Y @ X )
=> ( ( sup @ X @ Y )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[297]) ).
thf(450,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
= ( A
= ( sup @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[296]) ).
thf(451,plain,
( ( ! [A: a,B: a] :
( ( A
= ( sup @ A @ B ) )
=> ( less_eq @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[295]) ).
thf(452,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
=> ( A
= ( sup @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[294]) ).
thf(453,plain,
( ( ! [C: a,A: a,D: a,B: a] :
( ( less_eq @ C @ A )
=> ( ( less_eq @ D @ B )
=> ( less_eq @ ( sup @ C @ D ) @ ( sup @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[293]) ).
thf(454,plain,
( ( ! [C: a,B: a,A: a] :
( ( less_eq @ C @ B )
=> ( less_eq @ C @ ( sup @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[292]) ).
thf(455,plain,
( ( ! [C: a,A: a,B: a] :
( ( less_eq @ C @ A )
=> ( less_eq @ C @ ( sup @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[291]) ).
thf(456,plain,
( ( ! [B: a,A: a] : ( less_eq @ B @ ( sup @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[290]) ).
thf(457,plain,
( ( ! [A: a,B: a] : ( less_eq @ A @ ( sup @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[289]) ).
thf(458,plain,
( ( ! [B: a,A: a,C: a] :
( ( less_eq @ B @ A )
=> ( ( less_eq @ C @ A )
=> ( less_eq @ ( sup @ B @ C ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[288]) ).
thf(459,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)],[287]) ).
thf(460,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
= ( ( sup @ A @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[286]) ).
thf(461,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
= ( ( sup @ A @ B )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[285]) ).
thf(462,plain,
( ( ! [A: a,B: a] :
( ( less_eq @ A @ B )
=> ( ( sup @ A @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[284]) ).
thf(463,plain,
( ( ! [B: a,A: a] :
( ( less_eq @ B @ A )
=> ( ( sup @ A @ B )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[283]) ).
thf(464,plain,
( ( ! [X: a,B: a,A: a] :
( ( less_eq @ X @ B )
=> ( less_eq @ X @ ( sup @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[282]) ).
thf(465,plain,
( ( ! [X: a,A: a,B: a] :
( ( less_eq @ X @ A )
=> ( less_eq @ X @ ( sup @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[281]) ).
thf(466,plain,
( ( ! [A: a,X: a,B: a] :
( ( less_eq @ A @ X )
=> ( ( less_eq @ B @ X )
=> ( less_eq @ ( sup @ A @ B ) @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[280]) ).
thf(467,plain,
( ( ! [A: a,B: a,X: a] :
( ( less_eq @ ( sup @ A @ B ) @ X )
=> ~ ( ( less_eq @ A @ X )
=> ~ ( less_eq @ B @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[279]) ).
thf(468,plain,
( ( ! [X: a,Y: a] :
( ( less_eq @ X @ Y )
= ( ( sup @ X @ Y )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[278]) ).
thf(469,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)],[277]) ).
thf(470,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)],[276]) ).
thf(471,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)],[275]) ).
thf(472,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)],[274]) ).
thf(473,plain,
( ( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
!= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(474,plain,
( ( ! [SX0: a,SX1: a] :
( ( SX0
!= ( sup @ SX0 @ SX1 ) )
| ( less_eq @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(475,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)],[469]) ).
thf(476,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( less_eq @ SX0 @ ( sup @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[455]) ).
thf(477,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( inf @ SX0 @ SX1 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(478,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( sup @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(479,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)],[471]) ).
thf(480,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)],[472]) ).
thf(481,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)],[467]) ).
thf(482,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)],[438]) ).
thf(483,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX2 @ SX1 )
| ( less_eq @ ( sup @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(484,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX2 @ SX1 )
| ( less_eq @ ( sup @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(485,plain,
( ( ! [SX0: a > a > a,SX1: a,SX2: a] :
( ~ ! [SX3: a,SX4: a] : ( less_eq @ SX3 @ ( SX0 @ SX3 @ SX4 ) )
| ~ ! [SX3: a,SX4: a] : ( less_eq @ SX4 @ ( SX0 @ SX3 @ SX4 ) )
| ~ ! [SX3: a,SX4: a,SX5: a] :
( ~ ( less_eq @ SX4 @ SX3 )
| ~ ( less_eq @ SX5 @ SX3 )
| ( less_eq @ ( SX0 @ SX4 @ SX5 ) @ SX3 ) )
| ( ( sup @ SX1 @ SX2 )
= ( SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(486,plain,
( ( ! [SX0: a,SX1: a,SX2: a,SX3: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX2 @ SX3 )
| ( less_eq @ ( inf @ SX0 @ SX2 ) @ ( inf @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[424]) ).
thf(487,plain,
( ( ! [SX0: a > a > a,SX1: a,SX2: a] :
( ~ ! [SX3: a,SX4: a] : ( less_eq @ ( SX0 @ SX3 @ SX4 ) @ SX3 )
| ~ ! [SX3: a,SX4: a] : ( less_eq @ ( SX0 @ SX3 @ SX4 ) @ SX4 )
| ~ ! [SX3: a,SX4: a,SX5: a] :
( ~ ( less_eq @ SX3 @ SX4 )
| ~ ( less_eq @ SX3 @ SX5 )
| ( less_eq @ SX3 @ ( SX0 @ SX4 @ SX5 ) ) )
| ( ( inf @ SX1 @ SX2 )
= ( SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[423]) ).
thf(488,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( less_eq @ ( inf @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[418]) ).
thf(489,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( less_eq @ SX0 @ ( sup @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(490,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( sup @ SX1 @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(491,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( less_eq @ ( inf @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[419]) ).
thf(492,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( sup @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(493,plain,
( ( ! [SX0: a,SX1: a] :
( ( SX0
!= ( inf @ SX0 @ SX1 ) )
| ( less_eq @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[431]) ).
thf(494,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( inf @ SX1 @ SX0 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[428]) ).
thf(495,plain,
( ( ! [SX0: a,SX1: a,SX2: a,SX3: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX2 @ SX3 )
| ( less_eq @ ( sup @ SX0 @ SX2 ) @ ( sup @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(496,plain,
( ( ! [SX0: a,SX1: a,SX2: a,SX3: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX2 @ SX3 )
| ( less_eq @ ( sup @ SX0 @ SX2 ) @ ( sup @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(497,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( SX1
= ( sup @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(498,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( less_eq @ SX0 @ ( sup @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(499,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX0 @ SX2 )
| ( less_eq @ SX0 @ ( inf @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[420]) ).
thf(500,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)],[421]) ).
thf(501,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)],[470]) ).
thf(502,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ! [SX3: a,SX4: a,SX5: a] :
( ( sup @ SX3 @ ( inf @ SX4 @ SX5 ) )
= ( inf @ ( sup @ SX3 @ SX4 ) @ ( sup @ SX3 @ SX5 ) ) )
| ( ( inf @ SX0 @ ( sup @ SX1 @ SX2 ) )
= ( sup @ ( inf @ SX0 @ SX1 ) @ ( inf @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(503,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( inf @ SX1 @ SX0 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(504,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX2 @ SX1 )
| ( less_eq @ ( sup @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(505,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( SX0
= ( inf @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432]) ).
thf(506,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( less_eq @ ( inf @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(507,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( less_eq @ ( inf @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[433]) ).
thf(508,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( sup @ SX1 @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(509,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX0 @ SX2 )
| ( less_eq @ SX0 @ ( inf @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[437]) ).
thf(510,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( ( inf @ SX0 @ SX1 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[429]) ).
thf(511,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ( less_eq @ SX0 @ ( sup @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(512,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)],[459]) ).
thf(513,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( less_eq @ SX0 @ SX1 )
| ~ ( less_eq @ SX0 @ SX2 )
| ( less_eq @ SX0 @ ( inf @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[427]) ).
thf(514,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ! [SX3: a,SX4: a,SX5: a] :
( ( inf @ SX3 @ ( sup @ SX4 @ SX5 ) )
= ( sup @ ( inf @ SX3 @ SX4 ) @ ( inf @ SX3 @ SX5 ) ) )
| ( ( sup @ SX0 @ ( inf @ SX1 @ SX2 ) )
= ( inf @ ( sup @ SX0 @ SX1 ) @ ( sup @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(515,plain,
! [SV1: a] :
( ( ! [SY238: a,SY239: a] :
( ( inf @ ( inf @ SV1 @ SY238 ) @ SY239 )
= ( inf @ SV1 @ ( inf @ SY238 @ SY239 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(516,plain,
! [SV2: a] :
( ( ! [SY240: a] :
( ( inf @ SV2 @ SY240 )
= ( inf @ SY240 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(517,plain,
! [SV3: a] :
( ( ! [SY241: a,SY242: a] :
( ( inf @ SV3 @ ( inf @ SY241 @ SY242 ) )
= ( inf @ SY241 @ ( inf @ SV3 @ SY242 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(518,plain,
! [SV4: a] :
( ( ! [SY243: a,SY244: a] :
( ( inf @ ( inf @ SV4 @ SY243 ) @ SY244 )
= ( inf @ SV4 @ ( inf @ SY243 @ SY244 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(519,plain,
! [SV5: a] :
( ( ! [SY245: a] :
( ( inf @ SV5 @ SY245 )
= ( inf @ SY245 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(520,plain,
! [SV6: a] :
( ( ! [SY246: a,SY247: a] :
( ( inf @ SV6 @ ( inf @ SY246 @ SY247 ) )
= ( inf @ SY246 @ ( inf @ SV6 @ SY247 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(521,plain,
! [SV7: a] :
( ( ! [SY248: a,SY249: a] :
( ( sup @ ( sup @ SV7 @ SY248 ) @ SY249 )
= ( sup @ SV7 @ ( sup @ SY248 @ SY249 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(522,plain,
! [SV8: a] :
( ( ! [SY250: a] :
( ( sup @ SV8 @ SY250 )
= ( sup @ SY250 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(523,plain,
! [SV9: a] :
( ( ! [SY251: a,SY252: a] :
( ( sup @ SV9 @ ( sup @ SY251 @ SY252 ) )
= ( sup @ SY251 @ ( sup @ SV9 @ SY252 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(524,plain,
! [SV10: a] :
( ( ! [SY253: a,SY254: a] :
( ( sup @ ( sup @ SV10 @ SY253 ) @ SY254 )
= ( sup @ SV10 @ ( sup @ SY253 @ SY254 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(525,plain,
! [SV11: a] :
( ( ! [SY255: a] :
( ( sup @ SV11 @ SY255 )
= ( sup @ SY255 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(526,plain,
! [SV12: a] :
( ( ! [SY256: a,SY257: a] :
( ( sup @ SV12 @ ( sup @ SY256 @ SY257 ) )
= ( sup @ SY256 @ ( sup @ SV12 @ SY257 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(527,plain,
! [SV13: a] :
( ( ! [SY258: a,SY259: a] :
( ( modula1144073633_aux_a @ inf @ sup @ SV13 @ SY258 @ SY259 )
= ( inf @ ( inf @ ( sup @ SV13 @ SY258 ) @ ( sup @ SY258 @ SY259 ) ) @ ( sup @ SY259 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(528,plain,
! [SV14: a] :
( ( ( inf @ SV14 @ SV14 )
= SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(529,plain,
! [SV15: a] :
( ( ! [SY260: a] :
( ( inf @ SV15 @ ( inf @ SV15 @ SY260 ) )
= ( inf @ SV15 @ SY260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(530,plain,
! [SV16: a] :
( ( ! [SY261: a] :
( ( inf @ ( inf @ SV16 @ SY261 ) @ SY261 )
= ( inf @ SV16 @ SY261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(531,plain,
! [SV17: a] :
( ( ( inf @ SV17 @ SV17 )
= SV17 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(532,plain,
! [SV18: a] :
( ( ! [SY262: a] :
( ( inf @ SV18 @ ( inf @ SV18 @ SY262 ) )
= ( inf @ SV18 @ SY262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(533,plain,
! [SV19: a] :
( ( ! [SY263: a] :
( ( inf @ ( inf @ SV19 @ SY263 ) @ SY263 )
= ( inf @ SV19 @ SY263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(534,plain,
! [SV20: a] :
( ( ( sup @ SV20 @ SV20 )
= SV20 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(535,plain,
! [SV21: a] :
( ( ! [SY264: a] :
( ( sup @ SV21 @ ( sup @ SV21 @ SY264 ) )
= ( sup @ SV21 @ SY264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(536,plain,
! [SV22: a] :
( ( ! [SY265: a] :
( ( sup @ ( sup @ SV22 @ SY265 ) @ SY265 )
= ( sup @ SV22 @ SY265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(537,plain,
! [SV23: a] :
( ( ( sup @ SV23 @ SV23 )
= SV23 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(538,plain,
! [SV24: a] :
( ( ! [SY266: a] :
( ( sup @ SV24 @ ( sup @ SV24 @ SY266 ) )
= ( sup @ SV24 @ SY266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(539,plain,
! [SV25: a] :
( ( ! [SY267: a] :
( ( inf @ SV25 @ ( sup @ SV25 @ SY267 ) )
= SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(540,plain,
! [SV26: a] :
( ( ! [SY268: a] :
( ( sup @ SV26 @ ( inf @ SV26 @ SY268 ) )
= SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(541,plain,
! [SV27: a] :
( ( ! [SY269: a,SY270: a] :
( ( modula1936294176_aux_a @ inf @ sup @ SV27 @ SY269 @ SY270 )
= ( sup @ ( sup @ ( inf @ SV27 @ SY269 ) @ ( inf @ SY269 @ SY270 ) ) @ ( inf @ SY270 @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(542,plain,
! [SV28: a] :
( ( ! [SY271: a,SY272: a] :
( ( modula1936294176_aux_a @ inf @ sup @ SV28 @ SY271 @ SY272 )
= ( modula1936294176_aux_a @ inf @ sup @ SY272 @ SV28 @ SY271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(543,plain,
! [SV29: a] :
( ( ! [SY273: a,SY274: a] :
( ( modula1936294176_aux_a @ inf @ sup @ SV29 @ SY273 @ SY274 )
= ( modula1936294176_aux_a @ inf @ sup @ SY273 @ SY274 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(544,plain,
( ( ! [SV30: a > a > a] :
( ( modula1144073633_aux_a @ SV30 )
= ( modula1144073633_aux_a @ SV30 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[405]) ).
thf(545,plain,
( ( modula1144073633_aux_a = modula1144073633_aux_a )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[405]) ).
thf(546,plain,
! [SV31: a] :
( ( ! [SY275: a,SY276: a] : ( less_eq @ ( sup @ ( inf @ SV31 @ SY275 ) @ ( inf @ SV31 @ SY276 ) ) @ ( inf @ SV31 @ ( sup @ SY275 @ SY276 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(547,plain,
! [SV32: a] :
( ( ! [SY277: a,SY278: a] : ( less_eq @ ( sup @ SV32 @ ( inf @ SY277 @ SY278 ) ) @ ( inf @ ( sup @ SV32 @ SY277 ) @ ( sup @ SV32 @ SY278 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(548,plain,
! [SV33: a] :
( ( ! [SY279: a] :
( ( less_eq @ SV33 @ SY279 )
= ( ( inf @ SV33 @ SY279 )
= SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(549,plain,
! [SV34: a] :
( ( ! [SY280: a] : ( less_eq @ ( inf @ SV34 @ SY280 ) @ SY280 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(550,plain,
! [SV35: a] :
( ( ! [SY281: a] : ( less_eq @ ( inf @ SV35 @ SY281 ) @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(551,plain,
! [SV36: a] :
( ( ! [SY282: a] :
( ( less_eq @ SV36 @ SY282 )
= ( SV36
= ( inf @ SV36 @ SY282 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(552,plain,
! [SV37: a] :
( ( ! [SY283: a] : ( less_eq @ ( inf @ SV37 @ SY283 ) @ SY283 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(553,plain,
! [SV38: a] :
( ( ! [SY284: a] : ( less_eq @ ( inf @ SV38 @ SY284 ) @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(554,plain,
! [SV39: a] :
( ( ! [SY285: a] :
( ( less_eq @ SV39 @ SY285 )
= ( ( inf @ SY285 @ SV39 )
= SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(555,plain,
! [SV40: a] :
( ( ! [SY286: a] :
( ( less_eq @ SV40 @ SY286 )
= ( ( inf @ SV40 @ SY286 )
= SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(556,plain,
! [SV41: a] :
( ( ! [SY287: a] : ( less_eq @ SV41 @ ( sup @ SY287 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(557,plain,
! [SV42: a] :
( ( ! [SY288: a] : ( less_eq @ SV42 @ ( sup @ SV42 @ SY288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(558,plain,
! [SV43: a] :
( ( ! [SY289: a] :
( ( less_eq @ SV43 @ SY289 )
= ( SY289
= ( sup @ SY289 @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(559,plain,
! [SV44: a] :
( ( ! [SY290: a] : ( less_eq @ SV44 @ ( sup @ SY290 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(560,plain,
! [SV45: a] :
( ( ! [SY291: a] : ( less_eq @ SV45 @ ( sup @ SV45 @ SY291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(561,plain,
! [SV46: a] :
( ( ! [SY292: a] :
( ( less_eq @ SV46 @ SY292 )
= ( ( sup @ SV46 @ SY292 )
= SY292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(562,plain,
! [SV47: a] :
( ( ! [SY293: a] :
( ( less_eq @ SV47 @ SY293 )
= ( ( sup @ SY293 @ SV47 )
= SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(563,plain,
! [SV48: a] :
( ( ! [SY294: a] :
( ( less_eq @ SV48 @ SY294 )
= ( ( sup @ SV48 @ SY294 )
= SY294 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(564,plain,
( ( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
= ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(565,plain,
! [SV49: a] :
( ( ! [SY295: a] :
( ( SV49
!= ( sup @ SV49 @ SY295 ) )
| ( less_eq @ SY295 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(566,plain,
! [SV50: a] :
( ( ! [SY296: a,SY297: a] :
( ( less_eq @ SV50 @ ( inf @ SY296 @ SY297 ) )
= ( ~ ( ~ ( less_eq @ SV50 @ SY296 )
| ~ ( less_eq @ SV50 @ SY297 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(567,plain,
! [SV51: a] :
( ( ! [SY298: a,SY299: a] :
( ~ ( less_eq @ SV51 @ SY298 )
| ( less_eq @ SV51 @ ( sup @ SY298 @ SY299 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(568,plain,
! [SV52: a] :
( ( ! [SY300: a] :
( ~ ( less_eq @ SV52 @ SY300 )
| ( ( inf @ SV52 @ SY300 )
= SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(569,plain,
! [SV53: a] :
( ( ! [SY301: a] :
( ~ ( less_eq @ SV53 @ SY301 )
| ( ( sup @ SV53 @ SY301 )
= SY301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(570,plain,
! [SV54: a] :
( ( ! [SY302: a,SY303: a] :
( ( less_eq @ ( sup @ SV54 @ SY302 ) @ SY303 )
= ( ~ ( ~ ( less_eq @ SV54 @ SY303 )
| ~ ( less_eq @ SY302 @ SY303 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(571,plain,
! [SV55: a] :
( ( ! [SY304: a,SY305: a] :
( ( less_eq @ ( sup @ SV55 @ SY304 ) @ SY305 )
= ( ~ ( ~ ( less_eq @ SV55 @ SY305 )
| ~ ( less_eq @ SY304 @ SY305 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(572,plain,
! [SV56: a] :
( ( ! [SY306: a,SY307: a] :
( ~ ( less_eq @ ( sup @ SV56 @ SY306 ) @ SY307 )
| ~ ( ~ ( less_eq @ SV56 @ SY307 )
| ~ ( less_eq @ SY306 @ SY307 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(573,plain,
! [SV57: a] :
( ( ! [SY308: a,SY309: a] :
( ~ ( less_eq @ SV57 @ ( inf @ SY308 @ SY309 ) )
| ~ ( ~ ( less_eq @ SV57 @ SY308 )
| ~ ( less_eq @ SV57 @ SY309 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(574,plain,
! [SV58: a] :
( ( ! [SY310: a,SY311: a] :
( ~ ( less_eq @ SV58 @ SY310 )
| ~ ( less_eq @ SY311 @ SY310 )
| ( less_eq @ ( sup @ SV58 @ SY311 ) @ SY310 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(575,plain,
! [SV59: a] :
( ( ! [SY312: a,SY313: a] :
( ~ ( less_eq @ SV59 @ SY312 )
| ~ ( less_eq @ SY313 @ SY312 )
| ( less_eq @ ( sup @ SV59 @ SY313 ) @ SY312 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(576,plain,
! [SV60: a > a > a] :
( ( ! [SY314: a,SY315: a] :
( ~ ! [SY316: a,SY317: a] : ( less_eq @ SY316 @ ( SV60 @ SY316 @ SY317 ) )
| ~ ! [SY318: a,SY319: a] : ( less_eq @ SY319 @ ( SV60 @ SY318 @ SY319 ) )
| ~ ! [SY320: a,SY321: a,SY322: a] :
( ~ ( less_eq @ SY321 @ SY320 )
| ~ ( less_eq @ SY322 @ SY320 )
| ( less_eq @ ( SV60 @ SY321 @ SY322 ) @ SY320 ) )
| ( ( sup @ SY314 @ SY315 )
= ( SV60 @ SY314 @ SY315 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(577,plain,
! [SV61: a] :
( ( ! [SY323: a,SY324: a,SY325: a] :
( ~ ( less_eq @ SV61 @ SY323 )
| ~ ( less_eq @ SY324 @ SY325 )
| ( less_eq @ ( inf @ SV61 @ SY324 ) @ ( inf @ SY323 @ SY325 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(578,plain,
! [SV62: a > a > a] :
( ( ! [SY326: a,SY327: a] :
( ~ ! [SY328: a,SY329: a] : ( less_eq @ ( SV62 @ SY328 @ SY329 ) @ SY328 )
| ~ ! [SY330: a,SY331: a] : ( less_eq @ ( SV62 @ SY330 @ SY331 ) @ SY331 )
| ~ ! [SY332: a,SY333: a,SY334: a] :
( ~ ( less_eq @ SY332 @ SY333 )
| ~ ( less_eq @ SY332 @ SY334 )
| ( less_eq @ SY332 @ ( SV62 @ SY333 @ SY334 ) ) )
| ( ( inf @ SY326 @ SY327 )
= ( SV62 @ SY326 @ SY327 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(579,plain,
! [SV63: a] :
( ( ! [SY335: a,SY336: a] :
( ~ ( less_eq @ SV63 @ SY335 )
| ( less_eq @ ( inf @ SY336 @ SV63 ) @ SY335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(580,plain,
! [SV64: a] :
( ( ! [SY337: a,SY338: a] :
( ~ ( less_eq @ SV64 @ SY337 )
| ( less_eq @ SV64 @ ( sup @ SY338 @ SY337 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(581,plain,
! [SV65: a] :
( ( ! [SY339: a] :
( ~ ( less_eq @ SV65 @ SY339 )
| ( ( sup @ SY339 @ SV65 )
= SY339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(582,plain,
! [SV66: a] :
( ( ! [SY340: a,SY341: a] :
( ~ ( less_eq @ SV66 @ SY340 )
| ( less_eq @ ( inf @ SV66 @ SY341 ) @ SY340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(583,plain,
! [SV67: a] :
( ( ! [SY342: a] :
( ~ ( less_eq @ SV67 @ SY342 )
| ( ( sup @ SV67 @ SY342 )
= SY342 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(584,plain,
! [SV68: a] :
( ( ! [SY343: a] :
( ( SV68
!= ( inf @ SV68 @ SY343 ) )
| ( less_eq @ SV68 @ SY343 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(585,plain,
! [SV69: a] :
( ( ! [SY344: a] :
( ~ ( less_eq @ SV69 @ SY344 )
| ( ( inf @ SY344 @ SV69 )
= SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(586,plain,
! [SV70: a] :
( ( ! [SY345: a,SY346: a,SY347: a] :
( ~ ( less_eq @ SV70 @ SY345 )
| ~ ( less_eq @ SY346 @ SY347 )
| ( less_eq @ ( sup @ SV70 @ SY346 ) @ ( sup @ SY345 @ SY347 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(587,plain,
! [SV71: a] :
( ( ! [SY348: a,SY349: a,SY350: a] :
( ~ ( less_eq @ SV71 @ SY348 )
| ~ ( less_eq @ SY349 @ SY350 )
| ( less_eq @ ( sup @ SV71 @ SY349 ) @ ( sup @ SY348 @ SY350 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(588,plain,
! [SV72: a] :
( ( ! [SY351: a] :
( ~ ( less_eq @ SV72 @ SY351 )
| ( SY351
= ( sup @ SY351 @ SV72 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(589,plain,
! [SV73: a] :
( ( ! [SY352: a,SY353: a] :
( ~ ( less_eq @ SV73 @ SY352 )
| ( less_eq @ SV73 @ ( sup @ SY353 @ SY352 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(590,plain,
! [SV74: a] :
( ( ! [SY354: a,SY355: a] :
( ~ ( less_eq @ SV74 @ SY354 )
| ~ ( less_eq @ SV74 @ SY355 )
| ( less_eq @ SV74 @ ( inf @ SY354 @ SY355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(591,plain,
! [SV75: a] :
( ( ! [SY356: a,SY357: a] :
( ~ ( less_eq @ SV75 @ ( inf @ SY356 @ SY357 ) )
| ~ ( ~ ( less_eq @ SV75 @ SY356 )
| ~ ( less_eq @ SV75 @ SY357 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(592,plain,
! [SV76: a] :
( ( ! [SY358: a,SY359: a] :
( ( less_eq @ SV76 @ ( inf @ SY358 @ SY359 ) )
= ( ~ ( ~ ( less_eq @ SV76 @ SY358 )
| ~ ( less_eq @ SV76 @ SY359 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(593,plain,
! [SV77: a] :
( ( ! [SY360: a,SY361: a] :
( ~ ! [SX3: a,SX4: a,SX5: a] :
( ( sup @ SX3 @ ( inf @ SX4 @ SX5 ) )
= ( inf @ ( sup @ SX3 @ SX4 ) @ ( sup @ SX3 @ SX5 ) ) )
| ( ( inf @ SV77 @ ( sup @ SY360 @ SY361 ) )
= ( sup @ ( inf @ SV77 @ SY360 ) @ ( inf @ SV77 @ SY361 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(594,plain,
! [SV78: a] :
( ( ! [SY365: a] :
( ~ ( less_eq @ SV78 @ SY365 )
| ( ( inf @ SY365 @ SV78 )
= SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(595,plain,
! [SV79: a] :
( ( ! [SY366: a,SY367: a] :
( ~ ( less_eq @ SV79 @ SY366 )
| ~ ( less_eq @ SY367 @ SY366 )
| ( less_eq @ ( sup @ SV79 @ SY367 ) @ SY366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(596,plain,
! [SV80: a] :
( ( ! [SY368: a] :
( ~ ( less_eq @ SV80 @ SY368 )
| ( SV80
= ( inf @ SV80 @ SY368 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(597,plain,
! [SV81: a] :
( ( ! [SY369: a,SY370: a] :
( ~ ( less_eq @ SV81 @ SY369 )
| ( less_eq @ ( inf @ SV81 @ SY370 ) @ SY369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(598,plain,
! [SV82: a] :
( ( ! [SY371: a,SY372: a] :
( ~ ( less_eq @ SV82 @ SY371 )
| ( less_eq @ ( inf @ SY372 @ SV82 ) @ SY371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(599,plain,
! [SV83: a] :
( ( ! [SY373: a] :
( ~ ( less_eq @ SV83 @ SY373 )
| ( ( sup @ SY373 @ SV83 )
= SY373 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(600,plain,
! [SV84: a] :
( ( ! [SY374: a,SY375: a] :
( ~ ( less_eq @ SV84 @ SY374 )
| ~ ( less_eq @ SV84 @ SY375 )
| ( less_eq @ SV84 @ ( inf @ SY374 @ SY375 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(601,plain,
! [SV85: a] :
( ( ! [SY376: a] :
( ~ ( less_eq @ SV85 @ SY376 )
| ( ( inf @ SV85 @ SY376 )
= SV85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(602,plain,
! [SV86: a] :
( ( ! [SY377: a,SY378: a] :
( ~ ( less_eq @ SV86 @ SY377 )
| ( less_eq @ SV86 @ ( sup @ SY377 @ SY378 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(603,plain,
! [SV87: a] :
( ( ! [SY379: a,SY380: a] :
( ~ ( less_eq @ ( sup @ SV87 @ SY379 ) @ SY380 )
| ~ ( ~ ( less_eq @ SV87 @ SY380 )
| ~ ( less_eq @ SY379 @ SY380 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(604,plain,
! [SV88: a] :
( ( ! [SY381: a,SY382: a] :
( ~ ( less_eq @ SV88 @ SY381 )
| ~ ( less_eq @ SV88 @ SY382 )
| ( less_eq @ SV88 @ ( inf @ SY381 @ SY382 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(605,plain,
! [SV89: a] :
( ( ! [SY383: a,SY384: a] :
( ~ ! [SX3: a,SX4: a,SX5: a] :
( ( inf @ SX3 @ ( sup @ SX4 @ SX5 ) )
= ( sup @ ( inf @ SX3 @ SX4 ) @ ( inf @ SX3 @ SX5 ) ) )
| ( ( sup @ SV89 @ ( inf @ SY383 @ SY384 ) )
= ( inf @ ( sup @ SV89 @ SY383 ) @ ( sup @ SV89 @ SY384 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(606,plain,
! [SV90: a,SV1: a] :
( ( ! [SY388: a] :
( ( inf @ ( inf @ SV1 @ SV90 ) @ SY388 )
= ( inf @ SV1 @ ( inf @ SV90 @ SY388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(607,plain,
! [SV91: a,SV2: a] :
( ( ( inf @ SV2 @ SV91 )
= ( inf @ SV91 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(608,plain,
! [SV92: a,SV3: a] :
( ( ! [SY389: a] :
( ( inf @ SV3 @ ( inf @ SV92 @ SY389 ) )
= ( inf @ SV92 @ ( inf @ SV3 @ SY389 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(609,plain,
! [SV93: a,SV4: a] :
( ( ! [SY390: a] :
( ( inf @ ( inf @ SV4 @ SV93 ) @ SY390 )
= ( inf @ SV4 @ ( inf @ SV93 @ SY390 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(610,plain,
! [SV94: a,SV5: a] :
( ( ( inf @ SV5 @ SV94 )
= ( inf @ SV94 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(611,plain,
! [SV95: a,SV6: a] :
( ( ! [SY391: a] :
( ( inf @ SV6 @ ( inf @ SV95 @ SY391 ) )
= ( inf @ SV95 @ ( inf @ SV6 @ SY391 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(612,plain,
! [SV96: a,SV7: a] :
( ( ! [SY392: a] :
( ( sup @ ( sup @ SV7 @ SV96 ) @ SY392 )
= ( sup @ SV7 @ ( sup @ SV96 @ SY392 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(613,plain,
! [SV97: a,SV8: a] :
( ( ( sup @ SV8 @ SV97 )
= ( sup @ SV97 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(614,plain,
! [SV98: a,SV9: a] :
( ( ! [SY393: a] :
( ( sup @ SV9 @ ( sup @ SV98 @ SY393 ) )
= ( sup @ SV98 @ ( sup @ SV9 @ SY393 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(615,plain,
! [SV99: a,SV10: a] :
( ( ! [SY394: a] :
( ( sup @ ( sup @ SV10 @ SV99 ) @ SY394 )
= ( sup @ SV10 @ ( sup @ SV99 @ SY394 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(616,plain,
! [SV100: a,SV11: a] :
( ( ( sup @ SV11 @ SV100 )
= ( sup @ SV100 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(617,plain,
! [SV101: a,SV12: a] :
( ( ! [SY395: a] :
( ( sup @ SV12 @ ( sup @ SV101 @ SY395 ) )
= ( sup @ SV101 @ ( sup @ SV12 @ SY395 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(618,plain,
! [SV102: a,SV13: a] :
( ( ! [SY396: a] :
( ( modula1144073633_aux_a @ inf @ sup @ SV13 @ SV102 @ SY396 )
= ( inf @ ( inf @ ( sup @ SV13 @ SV102 ) @ ( sup @ SV102 @ SY396 ) ) @ ( sup @ SY396 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(619,plain,
! [SV103: a,SV15: a] :
( ( ( inf @ SV15 @ ( inf @ SV15 @ SV103 ) )
= ( inf @ SV15 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(620,plain,
! [SV104: a,SV16: a] :
( ( ( inf @ ( inf @ SV16 @ SV104 ) @ SV104 )
= ( inf @ SV16 @ SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(621,plain,
! [SV105: a,SV18: a] :
( ( ( inf @ SV18 @ ( inf @ SV18 @ SV105 ) )
= ( inf @ SV18 @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(622,plain,
! [SV106: a,SV19: a] :
( ( ( inf @ ( inf @ SV19 @ SV106 ) @ SV106 )
= ( inf @ SV19 @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(623,plain,
! [SV107: a,SV21: a] :
( ( ( sup @ SV21 @ ( sup @ SV21 @ SV107 ) )
= ( sup @ SV21 @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(624,plain,
! [SV108: a,SV22: a] :
( ( ( sup @ ( sup @ SV22 @ SV108 ) @ SV108 )
= ( sup @ SV22 @ SV108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(625,plain,
! [SV109: a,SV24: a] :
( ( ( sup @ SV24 @ ( sup @ SV24 @ SV109 ) )
= ( sup @ SV24 @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(626,plain,
! [SV110: a,SV25: a] :
( ( ( inf @ SV25 @ ( sup @ SV25 @ SV110 ) )
= SV25 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(627,plain,
! [SV111: a,SV26: a] :
( ( ( sup @ SV26 @ ( inf @ SV26 @ SV111 ) )
= SV26 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(628,plain,
! [SV112: a,SV27: a] :
( ( ! [SY397: a] :
( ( modula1936294176_aux_a @ inf @ sup @ SV27 @ SV112 @ SY397 )
= ( sup @ ( sup @ ( inf @ SV27 @ SV112 ) @ ( inf @ SV112 @ SY397 ) ) @ ( inf @ SY397 @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(629,plain,
! [SV113: a,SV28: a] :
( ( ! [SY398: a] :
( ( modula1936294176_aux_a @ inf @ sup @ SV28 @ SV113 @ SY398 )
= ( modula1936294176_aux_a @ inf @ sup @ SY398 @ SV28 @ SV113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(630,plain,
! [SV114: a,SV29: a] :
( ( ! [SY399: a] :
( ( modula1936294176_aux_a @ inf @ sup @ SV29 @ SV114 @ SY399 )
= ( modula1936294176_aux_a @ inf @ sup @ SV114 @ SY399 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(631,plain,
! [SV115: a > a > a] :
( ( ( modula1144073633_aux_a @ SV115 )
= ( modula1144073633_aux_a @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(632,plain,
! [SV116: a,SV31: a] :
( ( ! [SY400: a] : ( less_eq @ ( sup @ ( inf @ SV31 @ SV116 ) @ ( inf @ SV31 @ SY400 ) ) @ ( inf @ SV31 @ ( sup @ SV116 @ SY400 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(633,plain,
! [SV117: a,SV32: a] :
( ( ! [SY401: a] : ( less_eq @ ( sup @ SV32 @ ( inf @ SV117 @ SY401 ) ) @ ( inf @ ( sup @ SV32 @ SV117 ) @ ( sup @ SV32 @ SY401 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(634,plain,
! [SV118: a,SV33: a] :
( ( ( less_eq @ SV33 @ SV118 )
= ( ( inf @ SV33 @ SV118 )
= SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(635,plain,
! [SV119: a,SV34: a] :
( ( less_eq @ ( inf @ SV34 @ SV119 ) @ SV119 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(636,plain,
! [SV120: a,SV35: a] :
( ( less_eq @ ( inf @ SV35 @ SV120 ) @ SV35 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(637,plain,
! [SV121: a,SV36: a] :
( ( ( less_eq @ SV36 @ SV121 )
= ( SV36
= ( inf @ SV36 @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(638,plain,
! [SV122: a,SV37: a] :
( ( less_eq @ ( inf @ SV37 @ SV122 ) @ SV122 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(639,plain,
! [SV123: a,SV38: a] :
( ( less_eq @ ( inf @ SV38 @ SV123 ) @ SV38 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(640,plain,
! [SV124: a,SV39: a] :
( ( ( less_eq @ SV39 @ SV124 )
= ( ( inf @ SV124 @ SV39 )
= SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(641,plain,
! [SV125: a,SV40: a] :
( ( ( less_eq @ SV40 @ SV125 )
= ( ( inf @ SV40 @ SV125 )
= SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(642,plain,
! [SV126: a,SV41: a] :
( ( less_eq @ SV41 @ ( sup @ SV126 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(643,plain,
! [SV127: a,SV42: a] :
( ( less_eq @ SV42 @ ( sup @ SV42 @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(644,plain,
! [SV128: a,SV43: a] :
( ( ( less_eq @ SV43 @ SV128 )
= ( SV128
= ( sup @ SV128 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(645,plain,
! [SV129: a,SV44: a] :
( ( less_eq @ SV44 @ ( sup @ SV129 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(646,plain,
! [SV130: a,SV45: a] :
( ( less_eq @ SV45 @ ( sup @ SV45 @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(647,plain,
! [SV131: a,SV46: a] :
( ( ( less_eq @ SV46 @ SV131 )
= ( ( sup @ SV46 @ SV131 )
= SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(648,plain,
! [SV132: a,SV47: a] :
( ( ( less_eq @ SV47 @ SV132 )
= ( ( sup @ SV132 @ SV47 )
= SV132 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(649,plain,
! [SV133: a,SV48: a] :
( ( ( less_eq @ SV48 @ SV133 )
= ( ( sup @ SV48 @ SV133 )
= SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(650,plain,
! [SV134: a,SV49: a] :
( ( ( SV49
!= ( sup @ SV49 @ SV134 ) )
| ( less_eq @ SV134 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(651,plain,
! [SV135: a,SV50: a] :
( ( ! [SY402: a] :
( ( less_eq @ SV50 @ ( inf @ SV135 @ SY402 ) )
= ( ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SY402 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(652,plain,
! [SV136: a,SV51: a] :
( ( ! [SY403: a] :
( ~ ( less_eq @ SV51 @ SV136 )
| ( less_eq @ SV51 @ ( sup @ SV136 @ SY403 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(653,plain,
! [SV137: a,SV52: a] :
( ( ~ ( less_eq @ SV52 @ SV137 )
| ( ( inf @ SV52 @ SV137 )
= SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(654,plain,
! [SV138: a,SV53: a] :
( ( ~ ( less_eq @ SV53 @ SV138 )
| ( ( sup @ SV53 @ SV138 )
= SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(655,plain,
! [SV139: a,SV54: a] :
( ( ! [SY404: a] :
( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SY404 )
= ( ~ ( ~ ( less_eq @ SV54 @ SY404 )
| ~ ( less_eq @ SV139 @ SY404 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(656,plain,
! [SV140: a,SV55: a] :
( ( ! [SY405: a] :
( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SY405 )
= ( ~ ( ~ ( less_eq @ SV55 @ SY405 )
| ~ ( less_eq @ SV140 @ SY405 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(657,plain,
! [SV141: a,SV56: a] :
( ( ! [SY406: a] :
( ~ ( less_eq @ ( sup @ SV56 @ SV141 ) @ SY406 )
| ~ ( ~ ( less_eq @ SV56 @ SY406 )
| ~ ( less_eq @ SV141 @ SY406 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(658,plain,
! [SV142: a,SV57: a] :
( ( ! [SY407: a] :
( ~ ( less_eq @ SV57 @ ( inf @ SV142 @ SY407 ) )
| ~ ( ~ ( less_eq @ SV57 @ SV142 )
| ~ ( less_eq @ SV57 @ SY407 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(659,plain,
! [SV143: a,SV58: a] :
( ( ! [SY408: a] :
( ~ ( less_eq @ SV58 @ SV143 )
| ~ ( less_eq @ SY408 @ SV143 )
| ( less_eq @ ( sup @ SV58 @ SY408 ) @ SV143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(660,plain,
! [SV144: a,SV59: a] :
( ( ! [SY409: a] :
( ~ ( less_eq @ SV59 @ SV144 )
| ~ ( less_eq @ SY409 @ SV144 )
| ( less_eq @ ( sup @ SV59 @ SY409 ) @ SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(661,plain,
! [SV145: a,SV60: a > a > a] :
( ( ! [SY410: a] :
( ~ ! [SY316: a,SY317: a] : ( less_eq @ SY316 @ ( SV60 @ SY316 @ SY317 ) )
| ~ ! [SY318: a,SY319: a] : ( less_eq @ SY319 @ ( SV60 @ SY318 @ SY319 ) )
| ~ ! [SY320: a,SY321: a,SY322: a] :
( ~ ( less_eq @ SY321 @ SY320 )
| ~ ( less_eq @ SY322 @ SY320 )
| ( less_eq @ ( SV60 @ SY321 @ SY322 ) @ SY320 ) )
| ( ( sup @ SV145 @ SY410 )
= ( SV60 @ SV145 @ SY410 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(662,plain,
! [SV146: a,SV61: a] :
( ( ! [SY418: a,SY419: a] :
( ~ ( less_eq @ SV61 @ SV146 )
| ~ ( less_eq @ SY418 @ SY419 )
| ( less_eq @ ( inf @ SV61 @ SY418 ) @ ( inf @ SV146 @ SY419 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(663,plain,
! [SV147: a,SV62: a > a > a] :
( ( ! [SY420: a] :
( ~ ! [SY328: a,SY329: a] : ( less_eq @ ( SV62 @ SY328 @ SY329 ) @ SY328 )
| ~ ! [SY330: a,SY331: a] : ( less_eq @ ( SV62 @ SY330 @ SY331 ) @ SY331 )
| ~ ! [SY332: a,SY333: a,SY334: a] :
( ~ ( less_eq @ SY332 @ SY333 )
| ~ ( less_eq @ SY332 @ SY334 )
| ( less_eq @ SY332 @ ( SV62 @ SY333 @ SY334 ) ) )
| ( ( inf @ SV147 @ SY420 )
= ( SV62 @ SV147 @ SY420 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(664,plain,
! [SV148: a,SV63: a] :
( ( ! [SY428: a] :
( ~ ( less_eq @ SV63 @ SV148 )
| ( less_eq @ ( inf @ SY428 @ SV63 ) @ SV148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(665,plain,
! [SV149: a,SV64: a] :
( ( ! [SY429: a] :
( ~ ( less_eq @ SV64 @ SV149 )
| ( less_eq @ SV64 @ ( sup @ SY429 @ SV149 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(666,plain,
! [SV150: a,SV65: a] :
( ( ~ ( less_eq @ SV65 @ SV150 )
| ( ( sup @ SV150 @ SV65 )
= SV150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(667,plain,
! [SV151: a,SV66: a] :
( ( ! [SY430: a] :
( ~ ( less_eq @ SV66 @ SV151 )
| ( less_eq @ ( inf @ SV66 @ SY430 ) @ SV151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(668,plain,
! [SV152: a,SV67: a] :
( ( ~ ( less_eq @ SV67 @ SV152 )
| ( ( sup @ SV67 @ SV152 )
= SV152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(669,plain,
! [SV153: a,SV68: a] :
( ( ( SV68
!= ( inf @ SV68 @ SV153 ) )
| ( less_eq @ SV68 @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(670,plain,
! [SV154: a,SV69: a] :
( ( ~ ( less_eq @ SV69 @ SV154 )
| ( ( inf @ SV154 @ SV69 )
= SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(671,plain,
! [SV155: a,SV70: a] :
( ( ! [SY431: a,SY432: a] :
( ~ ( less_eq @ SV70 @ SV155 )
| ~ ( less_eq @ SY431 @ SY432 )
| ( less_eq @ ( sup @ SV70 @ SY431 ) @ ( sup @ SV155 @ SY432 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(672,plain,
! [SV156: a,SV71: a] :
( ( ! [SY433: a,SY434: a] :
( ~ ( less_eq @ SV71 @ SV156 )
| ~ ( less_eq @ SY433 @ SY434 )
| ( less_eq @ ( sup @ SV71 @ SY433 ) @ ( sup @ SV156 @ SY434 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(673,plain,
! [SV157: a,SV72: a] :
( ( ~ ( less_eq @ SV72 @ SV157 )
| ( SV157
= ( sup @ SV157 @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(674,plain,
! [SV158: a,SV73: a] :
( ( ! [SY435: a] :
( ~ ( less_eq @ SV73 @ SV158 )
| ( less_eq @ SV73 @ ( sup @ SY435 @ SV158 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(675,plain,
! [SV159: a,SV74: a] :
( ( ! [SY436: a] :
( ~ ( less_eq @ SV74 @ SV159 )
| ~ ( less_eq @ SV74 @ SY436 )
| ( less_eq @ SV74 @ ( inf @ SV159 @ SY436 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(676,plain,
! [SV160: a,SV75: a] :
( ( ! [SY437: a] :
( ~ ( less_eq @ SV75 @ ( inf @ SV160 @ SY437 ) )
| ~ ( ~ ( less_eq @ SV75 @ SV160 )
| ~ ( less_eq @ SV75 @ SY437 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(677,plain,
! [SV161: a,SV76: a] :
( ( ! [SY438: a] :
( ( less_eq @ SV76 @ ( inf @ SV161 @ SY438 ) )
= ( ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SY438 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(678,plain,
! [SV162: a,SV77: a] :
( ( ! [SY439: a] :
( ~ ! [SX3: a,SX4: a,SX5: a] :
( ( sup @ SX3 @ ( inf @ SX4 @ SX5 ) )
= ( inf @ ( sup @ SX3 @ SX4 ) @ ( sup @ SX3 @ SX5 ) ) )
| ( ( inf @ SV77 @ ( sup @ SV162 @ SY439 ) )
= ( sup @ ( inf @ SV77 @ SV162 ) @ ( inf @ SV77 @ SY439 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(679,plain,
! [SV163: a,SV78: a] :
( ( ~ ( less_eq @ SV78 @ SV163 )
| ( ( inf @ SV163 @ SV78 )
= SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(680,plain,
! [SV164: a,SV79: a] :
( ( ! [SY443: a] :
( ~ ( less_eq @ SV79 @ SV164 )
| ~ ( less_eq @ SY443 @ SV164 )
| ( less_eq @ ( sup @ SV79 @ SY443 ) @ SV164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(681,plain,
! [SV165: a,SV80: a] :
( ( ~ ( less_eq @ SV80 @ SV165 )
| ( SV80
= ( inf @ SV80 @ SV165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(682,plain,
! [SV166: a,SV81: a] :
( ( ! [SY444: a] :
( ~ ( less_eq @ SV81 @ SV166 )
| ( less_eq @ ( inf @ SV81 @ SY444 ) @ SV166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(683,plain,
! [SV167: a,SV82: a] :
( ( ! [SY445: a] :
( ~ ( less_eq @ SV82 @ SV167 )
| ( less_eq @ ( inf @ SY445 @ SV82 ) @ SV167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(684,plain,
! [SV168: a,SV83: a] :
( ( ~ ( less_eq @ SV83 @ SV168 )
| ( ( sup @ SV168 @ SV83 )
= SV168 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(685,plain,
! [SV169: a,SV84: a] :
( ( ! [SY446: a] :
( ~ ( less_eq @ SV84 @ SV169 )
| ~ ( less_eq @ SV84 @ SY446 )
| ( less_eq @ SV84 @ ( inf @ SV169 @ SY446 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(686,plain,
! [SV170: a,SV85: a] :
( ( ~ ( less_eq @ SV85 @ SV170 )
| ( ( inf @ SV85 @ SV170 )
= SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(687,plain,
! [SV171: a,SV86: a] :
( ( ! [SY447: a] :
( ~ ( less_eq @ SV86 @ SV171 )
| ( less_eq @ SV86 @ ( sup @ SV171 @ SY447 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(688,plain,
! [SV172: a,SV87: a] :
( ( ! [SY448: a] :
( ~ ( less_eq @ ( sup @ SV87 @ SV172 ) @ SY448 )
| ~ ( ~ ( less_eq @ SV87 @ SY448 )
| ~ ( less_eq @ SV172 @ SY448 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(689,plain,
! [SV173: a,SV88: a] :
( ( ! [SY449: a] :
( ~ ( less_eq @ SV88 @ SV173 )
| ~ ( less_eq @ SV88 @ SY449 )
| ( less_eq @ SV88 @ ( inf @ SV173 @ SY449 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(690,plain,
! [SV174: a,SV89: a] :
( ( ! [SY450: a] :
( ~ ! [SX3: a,SX4: a,SX5: a] :
( ( inf @ SX3 @ ( sup @ SX4 @ SX5 ) )
= ( sup @ ( inf @ SX3 @ SX4 ) @ ( inf @ SX3 @ SX5 ) ) )
| ( ( sup @ SV89 @ ( inf @ SV174 @ SY450 ) )
= ( inf @ ( sup @ SV89 @ SV174 ) @ ( sup @ SV89 @ SY450 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(691,plain,
! [SV175: a,SV90: a,SV1: a] :
( ( ( inf @ ( inf @ SV1 @ SV90 ) @ SV175 )
= ( inf @ SV1 @ ( inf @ SV90 @ SV175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(692,plain,
! [SV176: a,SV92: a,SV3: a] :
( ( ( inf @ SV3 @ ( inf @ SV92 @ SV176 ) )
= ( inf @ SV92 @ ( inf @ SV3 @ SV176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(693,plain,
! [SV177: a,SV93: a,SV4: a] :
( ( ( inf @ ( inf @ SV4 @ SV93 ) @ SV177 )
= ( inf @ SV4 @ ( inf @ SV93 @ SV177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(694,plain,
! [SV178: a,SV95: a,SV6: a] :
( ( ( inf @ SV6 @ ( inf @ SV95 @ SV178 ) )
= ( inf @ SV95 @ ( inf @ SV6 @ SV178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(695,plain,
! [SV179: a,SV96: a,SV7: a] :
( ( ( sup @ ( sup @ SV7 @ SV96 ) @ SV179 )
= ( sup @ SV7 @ ( sup @ SV96 @ SV179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(696,plain,
! [SV180: a,SV98: a,SV9: a] :
( ( ( sup @ SV9 @ ( sup @ SV98 @ SV180 ) )
= ( sup @ SV98 @ ( sup @ SV9 @ SV180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(697,plain,
! [SV181: a,SV99: a,SV10: a] :
( ( ( sup @ ( sup @ SV10 @ SV99 ) @ SV181 )
= ( sup @ SV10 @ ( sup @ SV99 @ SV181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(698,plain,
! [SV182: a,SV101: a,SV12: a] :
( ( ( sup @ SV12 @ ( sup @ SV101 @ SV182 ) )
= ( sup @ SV101 @ ( sup @ SV12 @ SV182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(699,plain,
! [SV183: a,SV102: a,SV13: a] :
( ( ( modula1144073633_aux_a @ inf @ sup @ SV13 @ SV102 @ SV183 )
= ( inf @ ( inf @ ( sup @ SV13 @ SV102 ) @ ( sup @ SV102 @ SV183 ) ) @ ( sup @ SV183 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(700,plain,
! [SV184: a,SV112: a,SV27: a] :
( ( ( modula1936294176_aux_a @ inf @ sup @ SV27 @ SV112 @ SV184 )
= ( sup @ ( sup @ ( inf @ SV27 @ SV112 ) @ ( inf @ SV112 @ SV184 ) ) @ ( inf @ SV184 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(701,plain,
! [SV185: a,SV113: a,SV28: a] :
( ( ( modula1936294176_aux_a @ inf @ sup @ SV28 @ SV113 @ SV185 )
= ( modula1936294176_aux_a @ inf @ sup @ SV185 @ SV28 @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(702,plain,
! [SV186: a,SV114: a,SV29: a] :
( ( ( modula1936294176_aux_a @ inf @ sup @ SV29 @ SV114 @ SV186 )
= ( modula1936294176_aux_a @ inf @ sup @ SV114 @ SV186 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(703,plain,
! [SV115: a > a > a] :
( ( ! [SV187: a > a > a] :
( ( modula1144073633_aux_a @ SV115 @ SV187 )
= ( modula1144073633_aux_a @ SV115 @ SV187 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[631]) ).
thf(704,plain,
! [SV115: a > a > a] :
( ( ( modula1144073633_aux_a @ SV115 )
= ( modula1144073633_aux_a @ SV115 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[631]) ).
thf(705,plain,
! [SV188: a,SV116: a,SV31: a] :
( ( less_eq @ ( sup @ ( inf @ SV31 @ SV116 ) @ ( inf @ SV31 @ SV188 ) ) @ ( inf @ SV31 @ ( sup @ SV116 @ SV188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(706,plain,
! [SV189: a,SV117: a,SV32: a] :
( ( less_eq @ ( sup @ SV32 @ ( inf @ SV117 @ SV189 ) ) @ ( inf @ ( sup @ SV32 @ SV117 ) @ ( sup @ SV32 @ SV189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(707,plain,
! [SV118: a,SV33: a] :
( ( ~ ( ( less_eq @ SV33 @ SV118 )
| ( ( inf @ SV33 @ SV118 )
= SV33 ) )
| ~ ( ~ ( less_eq @ SV33 @ SV118 )
| ( ( inf @ SV33 @ SV118 )
!= SV33 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[634]) ).
thf(708,plain,
! [SV118: a,SV33: a] :
( ( ( less_eq @ SV33 @ SV118 )
= ( ( inf @ SV33 @ SV118 )
= SV33 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[634]) ).
thf(709,plain,
! [SV121: a,SV36: a] :
( ( ~ ( ( less_eq @ SV36 @ SV121 )
| ( SV36
= ( inf @ SV36 @ SV121 ) ) )
| ~ ( ~ ( less_eq @ SV36 @ SV121 )
| ( SV36
!= ( inf @ SV36 @ SV121 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[637]) ).
thf(710,plain,
! [SV121: a,SV36: a] :
( ( ( less_eq @ SV36 @ SV121 )
= ( SV36
= ( inf @ SV36 @ SV121 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[637]) ).
thf(711,plain,
! [SV124: a,SV39: a] :
( ( ~ ( ( less_eq @ SV39 @ SV124 )
| ( ( inf @ SV124 @ SV39 )
= SV39 ) )
| ~ ( ~ ( less_eq @ SV39 @ SV124 )
| ( ( inf @ SV124 @ SV39 )
!= SV39 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[640]) ).
thf(712,plain,
! [SV124: a,SV39: a] :
( ( ( less_eq @ SV39 @ SV124 )
= ( ( inf @ SV124 @ SV39 )
= SV39 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[640]) ).
thf(713,plain,
! [SV125: a,SV40: a] :
( ( ~ ( ( less_eq @ SV40 @ SV125 )
| ( ( inf @ SV40 @ SV125 )
= SV40 ) )
| ~ ( ~ ( less_eq @ SV40 @ SV125 )
| ( ( inf @ SV40 @ SV125 )
!= SV40 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[641]) ).
thf(714,plain,
! [SV125: a,SV40: a] :
( ( ( less_eq @ SV40 @ SV125 )
= ( ( inf @ SV40 @ SV125 )
= SV40 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[641]) ).
thf(715,plain,
! [SV128: a,SV43: a] :
( ( ~ ( ( less_eq @ SV43 @ SV128 )
| ( SV128
= ( sup @ SV128 @ SV43 ) ) )
| ~ ( ~ ( less_eq @ SV43 @ SV128 )
| ( SV128
!= ( sup @ SV128 @ SV43 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[644]) ).
thf(716,plain,
! [SV128: a,SV43: a] :
( ( ( less_eq @ SV43 @ SV128 )
= ( SV128
= ( sup @ SV128 @ SV43 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[644]) ).
thf(717,plain,
! [SV131: a,SV46: a] :
( ( ~ ( ( less_eq @ SV46 @ SV131 )
| ( ( sup @ SV46 @ SV131 )
= SV131 ) )
| ~ ( ~ ( less_eq @ SV46 @ SV131 )
| ( ( sup @ SV46 @ SV131 )
!= SV131 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(718,plain,
! [SV131: a,SV46: a] :
( ( ( less_eq @ SV46 @ SV131 )
= ( ( sup @ SV46 @ SV131 )
= SV131 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(719,plain,
! [SV132: a,SV47: a] :
( ( ~ ( ( less_eq @ SV47 @ SV132 )
| ( ( sup @ SV132 @ SV47 )
= SV132 ) )
| ~ ( ~ ( less_eq @ SV47 @ SV132 )
| ( ( sup @ SV132 @ SV47 )
!= SV132 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[648]) ).
thf(720,plain,
! [SV132: a,SV47: a] :
( ( ( less_eq @ SV47 @ SV132 )
= ( ( sup @ SV132 @ SV47 )
= SV132 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[648]) ).
thf(721,plain,
! [SV133: a,SV48: a] :
( ( ~ ( ( less_eq @ SV48 @ SV133 )
| ( ( sup @ SV48 @ SV133 )
= SV133 ) )
| ~ ( ~ ( less_eq @ SV48 @ SV133 )
| ( ( sup @ SV48 @ SV133 )
!= SV133 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[649]) ).
thf(722,plain,
! [SV133: a,SV48: a] :
( ( ( less_eq @ SV48 @ SV133 )
= ( ( sup @ SV48 @ SV133 )
= SV133 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[649]) ).
thf(723,plain,
! [SV134: a,SV49: a] :
( ( ( SV49
!= ( sup @ SV49 @ SV134 ) )
= $true )
| ( ( less_eq @ SV134 @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(724,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= ( ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(725,plain,
! [SV191: a,SV136: a,SV51: a] :
( ( ~ ( less_eq @ SV51 @ SV136 )
| ( less_eq @ SV51 @ ( sup @ SV136 @ SV191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(726,plain,
! [SV137: a,SV52: a] :
( ( ( ~ ( less_eq @ SV52 @ SV137 ) )
= $true )
| ( ( ( inf @ SV52 @ SV137 )
= SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(727,plain,
! [SV138: a,SV53: a] :
( ( ( ~ ( less_eq @ SV53 @ SV138 ) )
= $true )
| ( ( ( sup @ SV53 @ SV138 )
= SV138 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(728,plain,
! [SV192: a,SV139: a,SV54: a] :
( ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= ( ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(729,plain,
! [SV193: a,SV140: a,SV55: a] :
( ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= ( ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(730,plain,
! [SV194: a,SV141: a,SV56: a] :
( ( ~ ( less_eq @ ( sup @ SV56 @ SV141 ) @ SV194 )
| ~ ( ~ ( less_eq @ SV56 @ SV194 )
| ~ ( less_eq @ SV141 @ SV194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(731,plain,
! [SV195: a,SV142: a,SV57: a] :
( ( ~ ( less_eq @ SV57 @ ( inf @ SV142 @ SV195 ) )
| ~ ( ~ ( less_eq @ SV57 @ SV142 )
| ~ ( less_eq @ SV57 @ SV195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(732,plain,
! [SV196: a,SV143: a,SV58: a] :
( ( ~ ( less_eq @ SV58 @ SV143 )
| ~ ( less_eq @ SV196 @ SV143 )
| ( less_eq @ ( sup @ SV58 @ SV196 ) @ SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(733,plain,
! [SV197: a,SV144: a,SV59: a] :
( ( ~ ( less_eq @ SV59 @ SV144 )
| ~ ( less_eq @ SV197 @ SV144 )
| ( less_eq @ ( sup @ SV59 @ SV197 ) @ SV144 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(734,plain,
! [SV198: a,SV145: a,SV60: a > a > a] :
( ( ~ ! [SY316: a,SY317: a] : ( less_eq @ SY316 @ ( SV60 @ SY316 @ SY317 ) )
| ~ ! [SY318: a,SY319: a] : ( less_eq @ SY319 @ ( SV60 @ SY318 @ SY319 ) )
| ~ ! [SY320: a,SY321: a,SY322: a] :
( ~ ( less_eq @ SY321 @ SY320 )
| ~ ( less_eq @ SY322 @ SY320 )
| ( less_eq @ ( SV60 @ SY321 @ SY322 ) @ SY320 ) )
| ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(735,plain,
! [SV199: a,SV146: a,SV61: a] :
( ( ! [SY461: a] :
( ~ ( less_eq @ SV61 @ SV146 )
| ~ ( less_eq @ SV199 @ SY461 )
| ( less_eq @ ( inf @ SV61 @ SV199 ) @ ( inf @ SV146 @ SY461 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(736,plain,
! [SV200: a,SV147: a,SV62: a > a > a] :
( ( ~ ! [SY328: a,SY329: a] : ( less_eq @ ( SV62 @ SY328 @ SY329 ) @ SY328 )
| ~ ! [SY330: a,SY331: a] : ( less_eq @ ( SV62 @ SY330 @ SY331 ) @ SY331 )
| ~ ! [SY332: a,SY333: a,SY334: a] :
( ~ ( less_eq @ SY332 @ SY333 )
| ~ ( less_eq @ SY332 @ SY334 )
| ( less_eq @ SY332 @ ( SV62 @ SY333 @ SY334 ) ) )
| ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(737,plain,
! [SV201: a,SV148: a,SV63: a] :
( ( ~ ( less_eq @ SV63 @ SV148 )
| ( less_eq @ ( inf @ SV201 @ SV63 ) @ SV148 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(738,plain,
! [SV202: a,SV149: a,SV64: a] :
( ( ~ ( less_eq @ SV64 @ SV149 )
| ( less_eq @ SV64 @ ( sup @ SV202 @ SV149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(739,plain,
! [SV150: a,SV65: a] :
( ( ( ~ ( less_eq @ SV65 @ SV150 ) )
= $true )
| ( ( ( sup @ SV150 @ SV65 )
= SV150 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(740,plain,
! [SV203: a,SV151: a,SV66: a] :
( ( ~ ( less_eq @ SV66 @ SV151 )
| ( less_eq @ ( inf @ SV66 @ SV203 ) @ SV151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(741,plain,
! [SV152: a,SV67: a] :
( ( ( ~ ( less_eq @ SV67 @ SV152 ) )
= $true )
| ( ( ( sup @ SV67 @ SV152 )
= SV152 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(742,plain,
! [SV153: a,SV68: a] :
( ( ( SV68
!= ( inf @ SV68 @ SV153 ) )
= $true )
| ( ( less_eq @ SV68 @ SV153 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(743,plain,
! [SV154: a,SV69: a] :
( ( ( ~ ( less_eq @ SV69 @ SV154 ) )
= $true )
| ( ( ( inf @ SV154 @ SV69 )
= SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(744,plain,
! [SV204: a,SV155: a,SV70: a] :
( ( ! [SY469: a] :
( ~ ( less_eq @ SV70 @ SV155 )
| ~ ( less_eq @ SV204 @ SY469 )
| ( less_eq @ ( sup @ SV70 @ SV204 ) @ ( sup @ SV155 @ SY469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(745,plain,
! [SV205: a,SV156: a,SV71: a] :
( ( ! [SY470: a] :
( ~ ( less_eq @ SV71 @ SV156 )
| ~ ( less_eq @ SV205 @ SY470 )
| ( less_eq @ ( sup @ SV71 @ SV205 ) @ ( sup @ SV156 @ SY470 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(746,plain,
! [SV157: a,SV72: a] :
( ( ( ~ ( less_eq @ SV72 @ SV157 ) )
= $true )
| ( ( SV157
= ( sup @ SV157 @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(747,plain,
! [SV206: a,SV158: a,SV73: a] :
( ( ~ ( less_eq @ SV73 @ SV158 )
| ( less_eq @ SV73 @ ( sup @ SV206 @ SV158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(748,plain,
! [SV207: a,SV159: a,SV74: a] :
( ( ~ ( less_eq @ SV74 @ SV159 )
| ~ ( less_eq @ SV74 @ SV207 )
| ( less_eq @ SV74 @ ( inf @ SV159 @ SV207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(749,plain,
! [SV208: a,SV160: a,SV75: a] :
( ( ~ ( less_eq @ SV75 @ ( inf @ SV160 @ SV208 ) )
| ~ ( ~ ( less_eq @ SV75 @ SV160 )
| ~ ( less_eq @ SV75 @ SV208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(750,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= ( ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(751,plain,
! [SV210: a,SV162: a,SV77: a] :
( ( ~ ! [SX3: a,SX4: a,SX5: a] :
( ( sup @ SX3 @ ( inf @ SX4 @ SX5 ) )
= ( inf @ ( sup @ SX3 @ SX4 ) @ ( sup @ SX3 @ SX5 ) ) )
| ( ( inf @ SV77 @ ( sup @ SV162 @ SV210 ) )
= ( sup @ ( inf @ SV77 @ SV162 ) @ ( inf @ SV77 @ SV210 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(752,plain,
! [SV163: a,SV78: a] :
( ( ( ~ ( less_eq @ SV78 @ SV163 ) )
= $true )
| ( ( ( inf @ SV163 @ SV78 )
= SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(753,plain,
! [SV211: a,SV164: a,SV79: a] :
( ( ~ ( less_eq @ SV79 @ SV164 )
| ~ ( less_eq @ SV211 @ SV164 )
| ( less_eq @ ( sup @ SV79 @ SV211 ) @ SV164 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(754,plain,
! [SV165: a,SV80: a] :
( ( ( ~ ( less_eq @ SV80 @ SV165 ) )
= $true )
| ( ( SV80
= ( inf @ SV80 @ SV165 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(755,plain,
! [SV212: a,SV166: a,SV81: a] :
( ( ~ ( less_eq @ SV81 @ SV166 )
| ( less_eq @ ( inf @ SV81 @ SV212 ) @ SV166 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(756,plain,
! [SV213: a,SV167: a,SV82: a] :
( ( ~ ( less_eq @ SV82 @ SV167 )
| ( less_eq @ ( inf @ SV213 @ SV82 ) @ SV167 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(757,plain,
! [SV168: a,SV83: a] :
( ( ( ~ ( less_eq @ SV83 @ SV168 ) )
= $true )
| ( ( ( sup @ SV168 @ SV83 )
= SV168 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(758,plain,
! [SV214: a,SV169: a,SV84: a] :
( ( ~ ( less_eq @ SV84 @ SV169 )
| ~ ( less_eq @ SV84 @ SV214 )
| ( less_eq @ SV84 @ ( inf @ SV169 @ SV214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(759,plain,
! [SV170: a,SV85: a] :
( ( ( ~ ( less_eq @ SV85 @ SV170 ) )
= $true )
| ( ( ( inf @ SV85 @ SV170 )
= SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(760,plain,
! [SV215: a,SV171: a,SV86: a] :
( ( ~ ( less_eq @ SV86 @ SV171 )
| ( less_eq @ SV86 @ ( sup @ SV171 @ SV215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(761,plain,
! [SV216: a,SV172: a,SV87: a] :
( ( ~ ( less_eq @ ( sup @ SV87 @ SV172 ) @ SV216 )
| ~ ( ~ ( less_eq @ SV87 @ SV216 )
| ~ ( less_eq @ SV172 @ SV216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(762,plain,
! [SV217: a,SV173: a,SV88: a] :
( ( ~ ( less_eq @ SV88 @ SV173 )
| ~ ( less_eq @ SV88 @ SV217 )
| ( less_eq @ SV88 @ ( inf @ SV173 @ SV217 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(763,plain,
! [SV218: a,SV174: a,SV89: a] :
( ( ~ ! [SX3: a,SX4: a,SX5: a] :
( ( inf @ SX3 @ ( sup @ SX4 @ SX5 ) )
= ( sup @ ( inf @ SX3 @ SX4 ) @ ( inf @ SX3 @ SX5 ) ) )
| ( ( sup @ SV89 @ ( inf @ SV174 @ SV218 ) )
= ( inf @ ( sup @ SV89 @ SV174 ) @ ( sup @ SV89 @ SV218 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(764,plain,
! [SV219: a > a > a,SV115: a > a > a] :
( ( ( modula1144073633_aux_a @ SV115 @ SV219 )
= ( modula1144073633_aux_a @ SV115 @ SV219 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(765,plain,
! [SV118: a,SV33: a] :
( ( ( ~ ( ( less_eq @ SV33 @ SV118 )
| ( ( inf @ SV33 @ SV118 )
= SV33 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV33 @ SV118 )
| ( ( inf @ SV33 @ SV118 )
!= SV33 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(766,plain,
! [SV121: a,SV36: a] :
( ( ( ~ ( ( less_eq @ SV36 @ SV121 )
| ( SV36
= ( inf @ SV36 @ SV121 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV36 @ SV121 )
| ( SV36
!= ( inf @ SV36 @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(767,plain,
! [SV124: a,SV39: a] :
( ( ( ~ ( ( less_eq @ SV39 @ SV124 )
| ( ( inf @ SV124 @ SV39 )
= SV39 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV39 @ SV124 )
| ( ( inf @ SV124 @ SV39 )
!= SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(768,plain,
! [SV125: a,SV40: a] :
( ( ( ~ ( ( less_eq @ SV40 @ SV125 )
| ( ( inf @ SV40 @ SV125 )
= SV40 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV40 @ SV125 )
| ( ( inf @ SV40 @ SV125 )
!= SV40 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(769,plain,
! [SV128: a,SV43: a] :
( ( ( ~ ( ( less_eq @ SV43 @ SV128 )
| ( SV128
= ( sup @ SV128 @ SV43 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV43 @ SV128 )
| ( SV128
!= ( sup @ SV128 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(770,plain,
! [SV131: a,SV46: a] :
( ( ( ~ ( ( less_eq @ SV46 @ SV131 )
| ( ( sup @ SV46 @ SV131 )
= SV131 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV46 @ SV131 )
| ( ( sup @ SV46 @ SV131 )
!= SV131 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(771,plain,
! [SV132: a,SV47: a] :
( ( ( ~ ( ( less_eq @ SV47 @ SV132 )
| ( ( sup @ SV132 @ SV47 )
= SV132 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV47 @ SV132 )
| ( ( sup @ SV132 @ SV47 )
!= SV132 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(772,plain,
! [SV133: a,SV48: a] :
( ( ( ~ ( ( less_eq @ SV48 @ SV133 )
| ( ( sup @ SV48 @ SV133 )
= SV133 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV48 @ SV133 )
| ( ( sup @ SV48 @ SV133 )
!= SV133 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(773,plain,
! [SV134: a,SV49: a] :
( ( ( SV49
= ( sup @ SV49 @ SV134 ) )
= $false )
| ( ( less_eq @ SV134 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(774,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ~ ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) )
| ~ ( ~ ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[724]) ).
thf(775,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= ( ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[724]) ).
thf(776,plain,
! [SV191: a,SV136: a,SV51: a] :
( ( ( ~ ( less_eq @ SV51 @ SV136 ) )
= $true )
| ( ( less_eq @ SV51 @ ( sup @ SV136 @ SV191 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(777,plain,
! [SV137: a,SV52: a] :
( ( ( less_eq @ SV52 @ SV137 )
= $false )
| ( ( ( inf @ SV52 @ SV137 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(778,plain,
! [SV138: a,SV53: a] :
( ( ( less_eq @ SV53 @ SV138 )
= $false )
| ( ( ( sup @ SV53 @ SV138 )
= SV138 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(779,plain,
! [SV192: a,SV139: a,SV54: a] :
( ( ~ ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) )
| ~ ( ~ ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[728]) ).
thf(780,plain,
! [SV192: a,SV139: a,SV54: a] :
( ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= ( ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[728]) ).
thf(781,plain,
! [SV193: a,SV140: a,SV55: a] :
( ( ~ ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) )
| ~ ( ~ ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[729]) ).
thf(782,plain,
! [SV193: a,SV140: a,SV55: a] :
( ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= ( ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[729]) ).
thf(783,plain,
! [SV194: a,SV141: a,SV56: a] :
( ( ( ~ ( less_eq @ ( sup @ SV56 @ SV141 ) @ SV194 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV56 @ SV194 )
| ~ ( less_eq @ SV141 @ SV194 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(784,plain,
! [SV195: a,SV142: a,SV57: a] :
( ( ( ~ ( less_eq @ SV57 @ ( inf @ SV142 @ SV195 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV57 @ SV142 )
| ~ ( less_eq @ SV57 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(785,plain,
! [SV196: a,SV143: a,SV58: a] :
( ( ( ~ ( less_eq @ SV58 @ SV143 ) )
= $true )
| ( ( ~ ( less_eq @ SV196 @ SV143 )
| ( less_eq @ ( sup @ SV58 @ SV196 ) @ SV143 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[732]) ).
thf(786,plain,
! [SV197: a,SV144: a,SV59: a] :
( ( ( ~ ( less_eq @ SV59 @ SV144 ) )
= $true )
| ( ( ~ ( less_eq @ SV197 @ SV144 )
| ( less_eq @ ( sup @ SV59 @ SV197 ) @ SV144 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(787,plain,
! [SV198: a,SV145: a,SV60: a > a > a] :
( ( ( ~ ! [SY316: a,SY317: a] : ( less_eq @ SY316 @ ( SV60 @ SY316 @ SY317 ) ) )
= $true )
| ( ( ~ ! [SY318: a,SY319: a] : ( less_eq @ SY319 @ ( SV60 @ SY318 @ SY319 ) )
| ~ ! [SY320: a,SY321: a,SY322: a] :
( ~ ( less_eq @ SY321 @ SY320 )
| ~ ( less_eq @ SY322 @ SY320 )
| ( less_eq @ ( SV60 @ SY321 @ SY322 ) @ SY320 ) )
| ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(788,plain,
! [SV220: a,SV199: a,SV146: a,SV61: a] :
( ( ~ ( less_eq @ SV61 @ SV146 )
| ~ ( less_eq @ SV199 @ SV220 )
| ( less_eq @ ( inf @ SV61 @ SV199 ) @ ( inf @ SV146 @ SV220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(789,plain,
! [SV200: a,SV147: a,SV62: a > a > a] :
( ( ( ~ ! [SY328: a,SY329: a] : ( less_eq @ ( SV62 @ SY328 @ SY329 ) @ SY328 ) )
= $true )
| ( ( ~ ! [SY330: a,SY331: a] : ( less_eq @ ( SV62 @ SY330 @ SY331 ) @ SY331 )
| ~ ! [SY332: a,SY333: a,SY334: a] :
( ~ ( less_eq @ SY332 @ SY333 )
| ~ ( less_eq @ SY332 @ SY334 )
| ( less_eq @ SY332 @ ( SV62 @ SY333 @ SY334 ) ) )
| ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(790,plain,
! [SV201: a,SV148: a,SV63: a] :
( ( ( ~ ( less_eq @ SV63 @ SV148 ) )
= $true )
| ( ( less_eq @ ( inf @ SV201 @ SV63 ) @ SV148 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(791,plain,
! [SV202: a,SV149: a,SV64: a] :
( ( ( ~ ( less_eq @ SV64 @ SV149 ) )
= $true )
| ( ( less_eq @ SV64 @ ( sup @ SV202 @ SV149 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[738]) ).
thf(792,plain,
! [SV150: a,SV65: a] :
( ( ( less_eq @ SV65 @ SV150 )
= $false )
| ( ( ( sup @ SV150 @ SV65 )
= SV150 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(793,plain,
! [SV203: a,SV151: a,SV66: a] :
( ( ( ~ ( less_eq @ SV66 @ SV151 ) )
= $true )
| ( ( less_eq @ ( inf @ SV66 @ SV203 ) @ SV151 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(794,plain,
! [SV152: a,SV67: a] :
( ( ( less_eq @ SV67 @ SV152 )
= $false )
| ( ( ( sup @ SV67 @ SV152 )
= SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(795,plain,
! [SV153: a,SV68: a] :
( ( ( SV68
= ( inf @ SV68 @ SV153 ) )
= $false )
| ( ( less_eq @ SV68 @ SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(796,plain,
! [SV154: a,SV69: a] :
( ( ( less_eq @ SV69 @ SV154 )
= $false )
| ( ( ( inf @ SV154 @ SV69 )
= SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(797,plain,
! [SV221: a,SV204: a,SV155: a,SV70: a] :
( ( ~ ( less_eq @ SV70 @ SV155 )
| ~ ( less_eq @ SV204 @ SV221 )
| ( less_eq @ ( sup @ SV70 @ SV204 ) @ ( sup @ SV155 @ SV221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(798,plain,
! [SV222: a,SV205: a,SV156: a,SV71: a] :
( ( ~ ( less_eq @ SV71 @ SV156 )
| ~ ( less_eq @ SV205 @ SV222 )
| ( less_eq @ ( sup @ SV71 @ SV205 ) @ ( sup @ SV156 @ SV222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(799,plain,
! [SV157: a,SV72: a] :
( ( ( less_eq @ SV72 @ SV157 )
= $false )
| ( ( SV157
= ( sup @ SV157 @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(800,plain,
! [SV206: a,SV158: a,SV73: a] :
( ( ( ~ ( less_eq @ SV73 @ SV158 ) )
= $true )
| ( ( less_eq @ SV73 @ ( sup @ SV206 @ SV158 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[747]) ).
thf(801,plain,
! [SV207: a,SV159: a,SV74: a] :
( ( ( ~ ( less_eq @ SV74 @ SV159 ) )
= $true )
| ( ( ~ ( less_eq @ SV74 @ SV207 )
| ( less_eq @ SV74 @ ( inf @ SV159 @ SV207 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(802,plain,
! [SV208: a,SV160: a,SV75: a] :
( ( ( ~ ( less_eq @ SV75 @ ( inf @ SV160 @ SV208 ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV75 @ SV160 )
| ~ ( less_eq @ SV75 @ SV208 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(803,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ~ ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) )
| ~ ( ~ ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[750]) ).
thf(804,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= ( ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[750]) ).
thf(805,plain,
! [SV210: a,SV162: a,SV77: a] :
( ( ( ~ ! [SX3: a,SX4: a,SX5: a] :
( ( sup @ SX3 @ ( inf @ SX4 @ SX5 ) )
= ( inf @ ( sup @ SX3 @ SX4 ) @ ( sup @ SX3 @ SX5 ) ) ) )
= $true )
| ( ( ( inf @ SV77 @ ( sup @ SV162 @ SV210 ) )
= ( sup @ ( inf @ SV77 @ SV162 ) @ ( inf @ SV77 @ SV210 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[751]) ).
thf(806,plain,
! [SV163: a,SV78: a] :
( ( ( less_eq @ SV78 @ SV163 )
= $false )
| ( ( ( inf @ SV163 @ SV78 )
= SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(807,plain,
! [SV211: a,SV164: a,SV79: a] :
( ( ( ~ ( less_eq @ SV79 @ SV164 ) )
= $true )
| ( ( ~ ( less_eq @ SV211 @ SV164 )
| ( less_eq @ ( sup @ SV79 @ SV211 ) @ SV164 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(808,plain,
! [SV165: a,SV80: a] :
( ( ( less_eq @ SV80 @ SV165 )
= $false )
| ( ( SV80
= ( inf @ SV80 @ SV165 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(809,plain,
! [SV212: a,SV166: a,SV81: a] :
( ( ( ~ ( less_eq @ SV81 @ SV166 ) )
= $true )
| ( ( less_eq @ ( inf @ SV81 @ SV212 ) @ SV166 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[755]) ).
thf(810,plain,
! [SV213: a,SV167: a,SV82: a] :
( ( ( ~ ( less_eq @ SV82 @ SV167 ) )
= $true )
| ( ( less_eq @ ( inf @ SV213 @ SV82 ) @ SV167 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(811,plain,
! [SV168: a,SV83: a] :
( ( ( less_eq @ SV83 @ SV168 )
= $false )
| ( ( ( sup @ SV168 @ SV83 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(812,plain,
! [SV214: a,SV169: a,SV84: a] :
( ( ( ~ ( less_eq @ SV84 @ SV169 ) )
= $true )
| ( ( ~ ( less_eq @ SV84 @ SV214 )
| ( less_eq @ SV84 @ ( inf @ SV169 @ SV214 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(813,plain,
! [SV170: a,SV85: a] :
( ( ( less_eq @ SV85 @ SV170 )
= $false )
| ( ( ( inf @ SV85 @ SV170 )
= SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(814,plain,
! [SV215: a,SV171: a,SV86: a] :
( ( ( ~ ( less_eq @ SV86 @ SV171 ) )
= $true )
| ( ( less_eq @ SV86 @ ( sup @ SV171 @ SV215 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[760]) ).
thf(815,plain,
! [SV216: a,SV172: a,SV87: a] :
( ( ( ~ ( less_eq @ ( sup @ SV87 @ SV172 ) @ SV216 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV87 @ SV216 )
| ~ ( less_eq @ SV172 @ SV216 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(816,plain,
! [SV217: a,SV173: a,SV88: a] :
( ( ( ~ ( less_eq @ SV88 @ SV173 ) )
= $true )
| ( ( ~ ( less_eq @ SV88 @ SV217 )
| ( less_eq @ SV88 @ ( inf @ SV173 @ SV217 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(817,plain,
! [SV218: a,SV174: a,SV89: a] :
( ( ( ~ ! [SX3: a,SX4: a,SX5: a] :
( ( inf @ SX3 @ ( sup @ SX4 @ SX5 ) )
= ( sup @ ( inf @ SX3 @ SX4 ) @ ( inf @ SX3 @ SX5 ) ) ) )
= $true )
| ( ( ( sup @ SV89 @ ( inf @ SV174 @ SV218 ) )
= ( inf @ ( sup @ SV89 @ SV174 ) @ ( sup @ SV89 @ SV218 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(818,plain,
! [SV219: a > a > a,SV115: a > a > a] :
( ( ! [SV223: a] :
( ( modula1144073633_aux_a @ SV115 @ SV219 @ SV223 )
= ( modula1144073633_aux_a @ SV115 @ SV219 @ SV223 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[764]) ).
thf(819,plain,
! [SV219: a > a > a,SV115: a > a > a] :
( ( ( modula1144073633_aux_a @ SV115 @ SV219 )
= ( modula1144073633_aux_a @ SV115 @ SV219 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[764]) ).
thf(820,plain,
! [SV118: a,SV33: a] :
( ( ( ( less_eq @ SV33 @ SV118 )
| ( ( inf @ SV33 @ SV118 )
= SV33 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV33 @ SV118 )
| ( ( inf @ SV33 @ SV118 )
!= SV33 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(821,plain,
! [SV121: a,SV36: a] :
( ( ( ( less_eq @ SV36 @ SV121 )
| ( SV36
= ( inf @ SV36 @ SV121 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV36 @ SV121 )
| ( SV36
!= ( inf @ SV36 @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(822,plain,
! [SV124: a,SV39: a] :
( ( ( ( less_eq @ SV39 @ SV124 )
| ( ( inf @ SV124 @ SV39 )
= SV39 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV39 @ SV124 )
| ( ( inf @ SV124 @ SV39 )
!= SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(823,plain,
! [SV125: a,SV40: a] :
( ( ( ( less_eq @ SV40 @ SV125 )
| ( ( inf @ SV40 @ SV125 )
= SV40 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV40 @ SV125 )
| ( ( inf @ SV40 @ SV125 )
!= SV40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(824,plain,
! [SV128: a,SV43: a] :
( ( ( ( less_eq @ SV43 @ SV128 )
| ( SV128
= ( sup @ SV128 @ SV43 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV43 @ SV128 )
| ( SV128
!= ( sup @ SV128 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(825,plain,
! [SV131: a,SV46: a] :
( ( ( ( less_eq @ SV46 @ SV131 )
| ( ( sup @ SV46 @ SV131 )
= SV131 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV46 @ SV131 )
| ( ( sup @ SV46 @ SV131 )
!= SV131 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(826,plain,
! [SV132: a,SV47: a] :
( ( ( ( less_eq @ SV47 @ SV132 )
| ( ( sup @ SV132 @ SV47 )
= SV132 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV47 @ SV132 )
| ( ( sup @ SV132 @ SV47 )
!= SV132 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(827,plain,
! [SV133: a,SV48: a] :
( ( ( ( less_eq @ SV48 @ SV133 )
| ( ( sup @ SV48 @ SV133 )
= SV133 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV48 @ SV133 )
| ( ( sup @ SV48 @ SV133 )
!= SV133 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(828,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(829,plain,
! [SV191: a,SV136: a,SV51: a] :
( ( ( less_eq @ SV51 @ SV136 )
= $false )
| ( ( less_eq @ SV51 @ ( sup @ SV136 @ SV191 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(830,plain,
! [SV192: a,SV139: a,SV54: a] :
( ( ( ~ ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(831,plain,
! [SV193: a,SV140: a,SV55: a] :
( ( ( ~ ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(832,plain,
! [SV194: a,SV141: a,SV56: a] :
( ( ( less_eq @ ( sup @ SV56 @ SV141 ) @ SV194 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV56 @ SV194 )
| ~ ( less_eq @ SV141 @ SV194 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(833,plain,
! [SV195: a,SV142: a,SV57: a] :
( ( ( less_eq @ SV57 @ ( inf @ SV142 @ SV195 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV57 @ SV142 )
| ~ ( less_eq @ SV57 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(834,plain,
! [SV196: a,SV143: a,SV58: a] :
( ( ( less_eq @ SV58 @ SV143 )
= $false )
| ( ( ~ ( less_eq @ SV196 @ SV143 )
| ( less_eq @ ( sup @ SV58 @ SV196 ) @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(835,plain,
! [SV197: a,SV144: a,SV59: a] :
( ( ( less_eq @ SV59 @ SV144 )
= $false )
| ( ( ~ ( less_eq @ SV197 @ SV144 )
| ( less_eq @ ( sup @ SV59 @ SV197 ) @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(836,plain,
! [SV198: a,SV145: a,SV60: a > a > a] :
( ( ( ! [SY316: a,SY317: a] : ( less_eq @ SY316 @ ( SV60 @ SY316 @ SY317 ) ) )
= $false )
| ( ( ~ ! [SY318: a,SY319: a] : ( less_eq @ SY319 @ ( SV60 @ SY318 @ SY319 ) )
| ~ ! [SY320: a,SY321: a,SY322: a] :
( ~ ( less_eq @ SY321 @ SY320 )
| ~ ( less_eq @ SY322 @ SY320 )
| ( less_eq @ ( SV60 @ SY321 @ SY322 ) @ SY320 ) )
| ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(837,plain,
! [SV220: a,SV199: a,SV146: a,SV61: a] :
( ( ( ~ ( less_eq @ SV61 @ SV146 ) )
= $true )
| ( ( ~ ( less_eq @ SV199 @ SV220 )
| ( less_eq @ ( inf @ SV61 @ SV199 ) @ ( inf @ SV146 @ SV220 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[788]) ).
thf(838,plain,
! [SV200: a,SV147: a,SV62: a > a > a] :
( ( ( ! [SY328: a,SY329: a] : ( less_eq @ ( SV62 @ SY328 @ SY329 ) @ SY328 ) )
= $false )
| ( ( ~ ! [SY330: a,SY331: a] : ( less_eq @ ( SV62 @ SY330 @ SY331 ) @ SY331 )
| ~ ! [SY332: a,SY333: a,SY334: a] :
( ~ ( less_eq @ SY332 @ SY333 )
| ~ ( less_eq @ SY332 @ SY334 )
| ( less_eq @ SY332 @ ( SV62 @ SY333 @ SY334 ) ) )
| ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(839,plain,
! [SV201: a,SV148: a,SV63: a] :
( ( ( less_eq @ SV63 @ SV148 )
= $false )
| ( ( less_eq @ ( inf @ SV201 @ SV63 ) @ SV148 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(840,plain,
! [SV202: a,SV149: a,SV64: a] :
( ( ( less_eq @ SV64 @ SV149 )
= $false )
| ( ( less_eq @ SV64 @ ( sup @ SV202 @ SV149 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(841,plain,
! [SV203: a,SV151: a,SV66: a] :
( ( ( less_eq @ SV66 @ SV151 )
= $false )
| ( ( less_eq @ ( inf @ SV66 @ SV203 ) @ SV151 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(842,plain,
! [SV221: a,SV204: a,SV155: a,SV70: a] :
( ( ( ~ ( less_eq @ SV70 @ SV155 ) )
= $true )
| ( ( ~ ( less_eq @ SV204 @ SV221 )
| ( less_eq @ ( sup @ SV70 @ SV204 ) @ ( sup @ SV155 @ SV221 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(843,plain,
! [SV222: a,SV205: a,SV156: a,SV71: a] :
( ( ( ~ ( less_eq @ SV71 @ SV156 ) )
= $true )
| ( ( ~ ( less_eq @ SV205 @ SV222 )
| ( less_eq @ ( sup @ SV71 @ SV205 ) @ ( sup @ SV156 @ SV222 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(844,plain,
! [SV206: a,SV158: a,SV73: a] :
( ( ( less_eq @ SV73 @ SV158 )
= $false )
| ( ( less_eq @ SV73 @ ( sup @ SV206 @ SV158 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(845,plain,
! [SV207: a,SV159: a,SV74: a] :
( ( ( less_eq @ SV74 @ SV159 )
= $false )
| ( ( ~ ( less_eq @ SV74 @ SV207 )
| ( less_eq @ SV74 @ ( inf @ SV159 @ SV207 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(846,plain,
! [SV208: a,SV160: a,SV75: a] :
( ( ( less_eq @ SV75 @ ( inf @ SV160 @ SV208 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV75 @ SV160 )
| ~ ( less_eq @ SV75 @ SV208 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(847,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[803]) ).
thf(848,plain,
! [SV210: a,SV162: a,SV77: a] :
( ( ( ! [SX3: a,SX4: a,SX5: a] :
( ( sup @ SX3 @ ( inf @ SX4 @ SX5 ) )
= ( inf @ ( sup @ SX3 @ SX4 ) @ ( sup @ SX3 @ SX5 ) ) ) )
= $false )
| ( ( ( inf @ SV77 @ ( sup @ SV162 @ SV210 ) )
= ( sup @ ( inf @ SV77 @ SV162 ) @ ( inf @ SV77 @ SV210 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(849,plain,
! [SV211: a,SV164: a,SV79: a] :
( ( ( less_eq @ SV79 @ SV164 )
= $false )
| ( ( ~ ( less_eq @ SV211 @ SV164 )
| ( less_eq @ ( sup @ SV79 @ SV211 ) @ SV164 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(850,plain,
! [SV212: a,SV166: a,SV81: a] :
( ( ( less_eq @ SV81 @ SV166 )
= $false )
| ( ( less_eq @ ( inf @ SV81 @ SV212 ) @ SV166 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(851,plain,
! [SV213: a,SV167: a,SV82: a] :
( ( ( less_eq @ SV82 @ SV167 )
= $false )
| ( ( less_eq @ ( inf @ SV213 @ SV82 ) @ SV167 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(852,plain,
! [SV214: a,SV169: a,SV84: a] :
( ( ( less_eq @ SV84 @ SV169 )
= $false )
| ( ( ~ ( less_eq @ SV84 @ SV214 )
| ( less_eq @ SV84 @ ( inf @ SV169 @ SV214 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(853,plain,
! [SV215: a,SV171: a,SV86: a] :
( ( ( less_eq @ SV86 @ SV171 )
= $false )
| ( ( less_eq @ SV86 @ ( sup @ SV171 @ SV215 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(854,plain,
! [SV216: a,SV172: a,SV87: a] :
( ( ( less_eq @ ( sup @ SV87 @ SV172 ) @ SV216 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV87 @ SV216 )
| ~ ( less_eq @ SV172 @ SV216 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(855,plain,
! [SV217: a,SV173: a,SV88: a] :
( ( ( less_eq @ SV88 @ SV173 )
= $false )
| ( ( ~ ( less_eq @ SV88 @ SV217 )
| ( less_eq @ SV88 @ ( inf @ SV173 @ SV217 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(856,plain,
! [SV218: a,SV174: a,SV89: a] :
( ( ( ! [SX3: a,SX4: a,SX5: a] :
( ( inf @ SX3 @ ( sup @ SX4 @ SX5 ) )
= ( sup @ ( inf @ SX3 @ SX4 ) @ ( inf @ SX3 @ SX5 ) ) ) )
= $false )
| ( ( ( sup @ SV89 @ ( inf @ SV174 @ SV218 ) )
= ( inf @ ( sup @ SV89 @ SV174 ) @ ( sup @ SV89 @ SV218 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(857,plain,
! [SV224: a,SV219: a > a > a,SV115: a > a > a] :
( ( ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 )
= ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(858,plain,
! [SV118: a,SV33: a] :
( ( ( less_eq @ SV33 @ SV118 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV33 @ SV118 )
| ( ( inf @ SV33 @ SV118 )
!= SV33 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(859,plain,
! [SV118: a,SV33: a] :
( ( ( ( inf @ SV33 @ SV118 )
= SV33 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV33 @ SV118 )
| ( ( inf @ SV33 @ SV118 )
!= SV33 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(860,plain,
! [SV121: a,SV36: a] :
( ( ( less_eq @ SV36 @ SV121 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV36 @ SV121 )
| ( SV36
!= ( inf @ SV36 @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[821]) ).
thf(861,plain,
! [SV121: a,SV36: a] :
( ( ( SV36
= ( inf @ SV36 @ SV121 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV36 @ SV121 )
| ( SV36
!= ( inf @ SV36 @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[821]) ).
thf(862,plain,
! [SV124: a,SV39: a] :
( ( ( less_eq @ SV39 @ SV124 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV39 @ SV124 )
| ( ( inf @ SV124 @ SV39 )
!= SV39 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[822]) ).
thf(863,plain,
! [SV39: a,SV124: a] :
( ( ( ( inf @ SV124 @ SV39 )
= SV39 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV39 @ SV124 )
| ( ( inf @ SV124 @ SV39 )
!= SV39 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[822]) ).
thf(864,plain,
! [SV125: a,SV40: a] :
( ( ( less_eq @ SV40 @ SV125 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV40 @ SV125 )
| ( ( inf @ SV40 @ SV125 )
!= SV40 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(865,plain,
! [SV125: a,SV40: a] :
( ( ( ( inf @ SV40 @ SV125 )
= SV40 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV40 @ SV125 )
| ( ( inf @ SV40 @ SV125 )
!= SV40 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(866,plain,
! [SV128: a,SV43: a] :
( ( ( less_eq @ SV43 @ SV128 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV43 @ SV128 )
| ( SV128
!= ( sup @ SV128 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[824]) ).
thf(867,plain,
! [SV43: a,SV128: a] :
( ( ( SV128
= ( sup @ SV128 @ SV43 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV43 @ SV128 )
| ( SV128
!= ( sup @ SV128 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[824]) ).
thf(868,plain,
! [SV131: a,SV46: a] :
( ( ( less_eq @ SV46 @ SV131 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV46 @ SV131 )
| ( ( sup @ SV46 @ SV131 )
!= SV131 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(869,plain,
! [SV131: a,SV46: a] :
( ( ( ( sup @ SV46 @ SV131 )
= SV131 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV46 @ SV131 )
| ( ( sup @ SV46 @ SV131 )
!= SV131 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(870,plain,
! [SV132: a,SV47: a] :
( ( ( less_eq @ SV47 @ SV132 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV47 @ SV132 )
| ( ( sup @ SV132 @ SV47 )
!= SV132 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[826]) ).
thf(871,plain,
! [SV47: a,SV132: a] :
( ( ( ( sup @ SV132 @ SV47 )
= SV132 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV47 @ SV132 )
| ( ( sup @ SV132 @ SV47 )
!= SV132 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[826]) ).
thf(872,plain,
! [SV133: a,SV48: a] :
( ( ( less_eq @ SV48 @ SV133 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV48 @ SV133 )
| ( ( sup @ SV48 @ SV133 )
!= SV133 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(873,plain,
! [SV133: a,SV48: a] :
( ( ( ( sup @ SV48 @ SV133 )
= SV133 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV48 @ SV133 )
| ( ( sup @ SV48 @ SV133 )
!= SV133 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(874,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(875,plain,
! [SV192: a,SV139: a,SV54: a] :
( ( ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(876,plain,
! [SV193: a,SV140: a,SV55: a] :
( ( ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(877,plain,
! [SV141: a,SV194: a,SV56: a] :
( ( ( ~ ( less_eq @ SV56 @ SV194 )
| ~ ( less_eq @ SV141 @ SV194 ) )
= $false )
| ( ( less_eq @ ( sup @ SV56 @ SV141 ) @ SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(878,plain,
! [SV195: a,SV142: a,SV57: a] :
( ( ( ~ ( less_eq @ SV57 @ SV142 )
| ~ ( less_eq @ SV57 @ SV195 ) )
= $false )
| ( ( less_eq @ SV57 @ ( inf @ SV142 @ SV195 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(879,plain,
! [SV58: a,SV143: a,SV196: a] :
( ( ( ~ ( less_eq @ SV196 @ SV143 ) )
= $true )
| ( ( less_eq @ ( sup @ SV58 @ SV196 ) @ SV143 )
= $true )
| ( ( less_eq @ SV58 @ SV143 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(880,plain,
! [SV59: a,SV144: a,SV197: a] :
( ( ( ~ ( less_eq @ SV197 @ SV144 ) )
= $true )
| ( ( less_eq @ ( sup @ SV59 @ SV197 ) @ SV144 )
= $true )
| ( ( less_eq @ SV59 @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[835]) ).
thf(881,plain,
! [SV60: a > a > a,SV145: a,SV198: a] :
( ( ( ! [SY477: a] : ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ SY477 ) ) )
= $false )
| ( ( ~ ! [SY318: a,SY319: a] : ( less_eq @ SY319 @ ( SV60 @ SY318 @ SY319 ) )
| ~ ! [SY320: a,SY321: a,SY322: a] :
( ~ ( less_eq @ SY321 @ SY320 )
| ~ ( less_eq @ SY322 @ SY320 )
| ( less_eq @ ( SV60 @ SY321 @ SY322 ) @ SY320 ) )
| ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[836]) ).
thf(882,plain,
! [SV220: a,SV199: a,SV146: a,SV61: a] :
( ( ( less_eq @ SV61 @ SV146 )
= $false )
| ( ( ~ ( less_eq @ SV199 @ SV220 )
| ( less_eq @ ( inf @ SV61 @ SV199 ) @ ( inf @ SV146 @ SV220 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(883,plain,
! [SV147: a,SV200: a,SV62: a > a > a] :
( ( ( ! [SY478: a] : ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ SY478 ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) ) )
= $false )
| ( ( ~ ! [SY330: a,SY331: a] : ( less_eq @ ( SV62 @ SY330 @ SY331 ) @ SY331 )
| ~ ! [SY332: a,SY333: a,SY334: a] :
( ~ ( less_eq @ SY332 @ SY333 )
| ~ ( less_eq @ SY332 @ SY334 )
| ( less_eq @ SY332 @ ( SV62 @ SY333 @ SY334 ) ) )
| ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[838]) ).
thf(884,plain,
! [SV221: a,SV204: a,SV155: a,SV70: a] :
( ( ( less_eq @ SV70 @ SV155 )
= $false )
| ( ( ~ ( less_eq @ SV204 @ SV221 )
| ( less_eq @ ( sup @ SV70 @ SV204 ) @ ( sup @ SV155 @ SV221 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(885,plain,
! [SV222: a,SV205: a,SV156: a,SV71: a] :
( ( ( less_eq @ SV71 @ SV156 )
= $false )
| ( ( ~ ( less_eq @ SV205 @ SV222 )
| ( less_eq @ ( sup @ SV71 @ SV205 ) @ ( sup @ SV156 @ SV222 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(886,plain,
! [SV159: a,SV207: a,SV74: a] :
( ( ( ~ ( less_eq @ SV74 @ SV207 ) )
= $true )
| ( ( less_eq @ SV74 @ ( inf @ SV159 @ SV207 ) )
= $true )
| ( ( less_eq @ SV74 @ SV159 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(887,plain,
! [SV208: a,SV160: a,SV75: a] :
( ( ( ~ ( less_eq @ SV75 @ SV160 )
| ~ ( less_eq @ SV75 @ SV208 ) )
= $false )
| ( ( less_eq @ SV75 @ ( inf @ SV160 @ SV208 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(888,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(889,plain,
! [SV77: a,SV162: a,SV210: a] :
( ( ( ! [SY479: a,SY480: a] :
( ( sup @ ( sK3_SX3 @ SV210 @ SV162 @ SV77 ) @ ( inf @ SY479 @ SY480 ) )
= ( inf @ ( sup @ ( sK3_SX3 @ SV210 @ SV162 @ SV77 ) @ SY479 ) @ ( sup @ ( sK3_SX3 @ SV210 @ SV162 @ SV77 ) @ SY480 ) ) ) )
= $false )
| ( ( ( inf @ SV77 @ ( sup @ SV162 @ SV210 ) )
= ( sup @ ( inf @ SV77 @ SV162 ) @ ( inf @ SV77 @ SV210 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[848]) ).
thf(890,plain,
! [SV79: a,SV164: a,SV211: a] :
( ( ( ~ ( less_eq @ SV211 @ SV164 ) )
= $true )
| ( ( less_eq @ ( sup @ SV79 @ SV211 ) @ SV164 )
= $true )
| ( ( less_eq @ SV79 @ SV164 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(891,plain,
! [SV169: a,SV214: a,SV84: a] :
( ( ( ~ ( less_eq @ SV84 @ SV214 ) )
= $true )
| ( ( less_eq @ SV84 @ ( inf @ SV169 @ SV214 ) )
= $true )
| ( ( less_eq @ SV84 @ SV169 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[852]) ).
thf(892,plain,
! [SV172: a,SV216: a,SV87: a] :
( ( ( ~ ( less_eq @ SV87 @ SV216 )
| ~ ( less_eq @ SV172 @ SV216 ) )
= $false )
| ( ( less_eq @ ( sup @ SV87 @ SV172 ) @ SV216 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(893,plain,
! [SV173: a,SV217: a,SV88: a] :
( ( ( ~ ( less_eq @ SV88 @ SV217 ) )
= $true )
| ( ( less_eq @ SV88 @ ( inf @ SV173 @ SV217 ) )
= $true )
| ( ( less_eq @ SV88 @ SV173 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(894,plain,
! [SV89: a,SV174: a,SV218: a] :
( ( ( ! [SY481: a,SY482: a] :
( ( inf @ ( sK4_SX3 @ SV218 @ SV174 @ SV89 ) @ ( sup @ SY481 @ SY482 ) )
= ( sup @ ( inf @ ( sK4_SX3 @ SV218 @ SV174 @ SV89 ) @ SY481 ) @ ( inf @ ( sK4_SX3 @ SV218 @ SV174 @ SV89 ) @ SY482 ) ) ) )
= $false )
| ( ( ( sup @ SV89 @ ( inf @ SV174 @ SV218 ) )
= ( inf @ ( sup @ SV89 @ SV174 ) @ ( sup @ SV89 @ SV218 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[856]) ).
thf(895,plain,
! [SV224: a,SV219: a > a > a,SV115: a > a > a] :
( ( ! [SV225: a] :
( ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 @ SV225 )
= ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 @ SV225 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[857]) ).
thf(896,plain,
! [SV224: a,SV219: a > a > a,SV115: a > a > a] :
( ( ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 )
= ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[857]) ).
thf(897,plain,
! [SV118: a,SV33: a] :
( ( ( ~ ( less_eq @ SV33 @ SV118 )
| ( ( inf @ SV33 @ SV118 )
!= SV33 ) )
= $false )
| ( ( less_eq @ SV33 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(898,plain,
! [SV118: a,SV33: a] :
( ( ( ~ ( less_eq @ SV33 @ SV118 )
| ( ( inf @ SV33 @ SV118 )
!= SV33 ) )
= $false )
| ( ( ( inf @ SV33 @ SV118 )
= SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(899,plain,
! [SV121: a,SV36: a] :
( ( ( ~ ( less_eq @ SV36 @ SV121 )
| ( SV36
!= ( inf @ SV36 @ SV121 ) ) )
= $false )
| ( ( less_eq @ SV36 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(900,plain,
! [SV121: a,SV36: a] :
( ( ( ~ ( less_eq @ SV36 @ SV121 )
| ( SV36
!= ( inf @ SV36 @ SV121 ) ) )
= $false )
| ( ( SV36
= ( inf @ SV36 @ SV121 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(901,plain,
! [SV124: a,SV39: a] :
( ( ( ~ ( less_eq @ SV39 @ SV124 )
| ( ( inf @ SV124 @ SV39 )
!= SV39 ) )
= $false )
| ( ( less_eq @ SV39 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(902,plain,
! [SV124: a,SV39: a] :
( ( ( ~ ( less_eq @ SV39 @ SV124 )
| ( ( inf @ SV124 @ SV39 )
!= SV39 ) )
= $false )
| ( ( ( inf @ SV124 @ SV39 )
= SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(903,plain,
! [SV125: a,SV40: a] :
( ( ( ~ ( less_eq @ SV40 @ SV125 )
| ( ( inf @ SV40 @ SV125 )
!= SV40 ) )
= $false )
| ( ( less_eq @ SV40 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(904,plain,
! [SV125: a,SV40: a] :
( ( ( ~ ( less_eq @ SV40 @ SV125 )
| ( ( inf @ SV40 @ SV125 )
!= SV40 ) )
= $false )
| ( ( ( inf @ SV40 @ SV125 )
= SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(905,plain,
! [SV128: a,SV43: a] :
( ( ( ~ ( less_eq @ SV43 @ SV128 )
| ( SV128
!= ( sup @ SV128 @ SV43 ) ) )
= $false )
| ( ( less_eq @ SV43 @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(906,plain,
! [SV128: a,SV43: a] :
( ( ( ~ ( less_eq @ SV43 @ SV128 )
| ( SV128
!= ( sup @ SV128 @ SV43 ) ) )
= $false )
| ( ( SV128
= ( sup @ SV128 @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(907,plain,
! [SV131: a,SV46: a] :
( ( ( ~ ( less_eq @ SV46 @ SV131 )
| ( ( sup @ SV46 @ SV131 )
!= SV131 ) )
= $false )
| ( ( less_eq @ SV46 @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(908,plain,
! [SV131: a,SV46: a] :
( ( ( ~ ( less_eq @ SV46 @ SV131 )
| ( ( sup @ SV46 @ SV131 )
!= SV131 ) )
= $false )
| ( ( ( sup @ SV46 @ SV131 )
= SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(909,plain,
! [SV132: a,SV47: a] :
( ( ( ~ ( less_eq @ SV47 @ SV132 )
| ( ( sup @ SV132 @ SV47 )
!= SV132 ) )
= $false )
| ( ( less_eq @ SV47 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(910,plain,
! [SV132: a,SV47: a] :
( ( ( ~ ( less_eq @ SV47 @ SV132 )
| ( ( sup @ SV132 @ SV47 )
!= SV132 ) )
= $false )
| ( ( ( sup @ SV132 @ SV47 )
= SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(911,plain,
! [SV133: a,SV48: a] :
( ( ( ~ ( less_eq @ SV48 @ SV133 )
| ( ( sup @ SV48 @ SV133 )
!= SV133 ) )
= $false )
| ( ( less_eq @ SV48 @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(912,plain,
! [SV133: a,SV48: a] :
( ( ( ~ ( less_eq @ SV48 @ SV133 )
| ( ( sup @ SV48 @ SV133 )
!= SV133 ) )
= $false )
| ( ( ( sup @ SV48 @ SV133 )
= SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(913,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(914,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(915,plain,
! [SV192: a,SV139: a,SV54: a] :
( ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(916,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(917,plain,
! [SV193: a,SV140: a,SV55: a] :
( ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[876]) ).
thf(918,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[876]) ).
thf(919,plain,
! [SV141: a,SV194: a,SV56: a] :
( ( ( ~ ( less_eq @ SV56 @ SV194 ) )
= $false )
| ( ( less_eq @ ( sup @ SV56 @ SV141 ) @ SV194 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(920,plain,
! [SV56: a,SV194: a,SV141: a] :
( ( ( ~ ( less_eq @ SV141 @ SV194 ) )
= $false )
| ( ( less_eq @ ( sup @ SV56 @ SV141 ) @ SV194 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(921,plain,
! [SV195: a,SV142: a,SV57: a] :
( ( ( ~ ( less_eq @ SV57 @ SV142 ) )
= $false )
| ( ( less_eq @ SV57 @ ( inf @ SV142 @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(922,plain,
! [SV142: a,SV195: a,SV57: a] :
( ( ( ~ ( less_eq @ SV57 @ SV195 ) )
= $false )
| ( ( less_eq @ SV57 @ ( inf @ SV142 @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(923,plain,
! [SV58: a,SV143: a,SV196: a] :
( ( ( less_eq @ SV196 @ SV143 )
= $false )
| ( ( less_eq @ ( sup @ SV58 @ SV196 ) @ SV143 )
= $true )
| ( ( less_eq @ SV58 @ SV143 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(924,plain,
! [SV59: a,SV144: a,SV197: a] :
( ( ( less_eq @ SV197 @ SV144 )
= $false )
| ( ( less_eq @ ( sup @ SV59 @ SV197 ) @ SV144 )
= $true )
| ( ( less_eq @ SV59 @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(925,plain,
! [SV60: a > a > a,SV145: a,SV198: a] :
( ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false )
| ( ( ~ ! [SY318: a,SY319: a] : ( less_eq @ SY319 @ ( SV60 @ SY318 @ SY319 ) )
| ~ ! [SY320: a,SY321: a,SY322: a] :
( ~ ( less_eq @ SY321 @ SY320 )
| ~ ( less_eq @ SY322 @ SY320 )
| ( less_eq @ ( SV60 @ SY321 @ SY322 ) @ SY320 ) )
| ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[881]) ).
thf(926,plain,
! [SV146: a,SV61: a,SV220: a,SV199: a] :
( ( ( ~ ( less_eq @ SV199 @ SV220 ) )
= $true )
| ( ( less_eq @ ( inf @ SV61 @ SV199 ) @ ( inf @ SV146 @ SV220 ) )
= $true )
| ( ( less_eq @ SV61 @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(927,plain,
! [SV147: a,SV200: a,SV62: a > a > a] :
( ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false )
| ( ( ~ ! [SY330: a,SY331: a] : ( less_eq @ ( SV62 @ SY330 @ SY331 ) @ SY331 )
| ~ ! [SY332: a,SY333: a,SY334: a] :
( ~ ( less_eq @ SY332 @ SY333 )
| ~ ( less_eq @ SY332 @ SY334 )
| ( less_eq @ SY332 @ ( SV62 @ SY333 @ SY334 ) ) )
| ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[883]) ).
thf(928,plain,
! [SV155: a,SV70: a,SV221: a,SV204: a] :
( ( ( ~ ( less_eq @ SV204 @ SV221 ) )
= $true )
| ( ( less_eq @ ( sup @ SV70 @ SV204 ) @ ( sup @ SV155 @ SV221 ) )
= $true )
| ( ( less_eq @ SV70 @ SV155 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[884]) ).
thf(929,plain,
! [SV156: a,SV71: a,SV222: a,SV205: a] :
( ( ( ~ ( less_eq @ SV205 @ SV222 ) )
= $true )
| ( ( less_eq @ ( sup @ SV71 @ SV205 ) @ ( sup @ SV156 @ SV222 ) )
= $true )
| ( ( less_eq @ SV71 @ SV156 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(930,plain,
! [SV159: a,SV207: a,SV74: a] :
( ( ( less_eq @ SV74 @ SV207 )
= $false )
| ( ( less_eq @ SV74 @ ( inf @ SV159 @ SV207 ) )
= $true )
| ( ( less_eq @ SV74 @ SV159 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(931,plain,
! [SV208: a,SV160: a,SV75: a] :
( ( ( ~ ( less_eq @ SV75 @ SV160 ) )
= $false )
| ( ( less_eq @ SV75 @ ( inf @ SV160 @ SV208 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(932,plain,
! [SV160: a,SV208: a,SV75: a] :
( ( ( ~ ( less_eq @ SV75 @ SV208 ) )
= $false )
| ( ( less_eq @ SV75 @ ( inf @ SV160 @ SV208 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(933,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[888]) ).
thf(934,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[888]) ).
thf(935,plain,
! [SV77: a,SV162: a,SV210: a] :
( ( ( ! [SY483: a] :
( ( sup @ ( sK3_SX3 @ SV210 @ SV162 @ SV77 ) @ ( inf @ ( sK7_SY479 @ SV77 @ SV162 @ SV210 ) @ SY483 ) )
= ( inf @ ( sup @ ( sK3_SX3 @ SV210 @ SV162 @ SV77 ) @ ( sK7_SY479 @ SV77 @ SV162 @ SV210 ) ) @ ( sup @ ( sK3_SX3 @ SV210 @ SV162 @ SV77 ) @ SY483 ) ) ) )
= $false )
| ( ( ( inf @ SV77 @ ( sup @ SV162 @ SV210 ) )
= ( sup @ ( inf @ SV77 @ SV162 ) @ ( inf @ SV77 @ SV210 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[889]) ).
thf(936,plain,
! [SV79: a,SV164: a,SV211: a] :
( ( ( less_eq @ SV211 @ SV164 )
= $false )
| ( ( less_eq @ ( sup @ SV79 @ SV211 ) @ SV164 )
= $true )
| ( ( less_eq @ SV79 @ SV164 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(937,plain,
! [SV169: a,SV214: a,SV84: a] :
( ( ( less_eq @ SV84 @ SV214 )
= $false )
| ( ( less_eq @ SV84 @ ( inf @ SV169 @ SV214 ) )
= $true )
| ( ( less_eq @ SV84 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(938,plain,
! [SV172: a,SV216: a,SV87: a] :
( ( ( ~ ( less_eq @ SV87 @ SV216 ) )
= $false )
| ( ( less_eq @ ( sup @ SV87 @ SV172 ) @ SV216 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(939,plain,
! [SV87: a,SV216: a,SV172: a] :
( ( ( ~ ( less_eq @ SV172 @ SV216 ) )
= $false )
| ( ( less_eq @ ( sup @ SV87 @ SV172 ) @ SV216 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(940,plain,
! [SV173: a,SV217: a,SV88: a] :
( ( ( less_eq @ SV88 @ SV217 )
= $false )
| ( ( less_eq @ SV88 @ ( inf @ SV173 @ SV217 ) )
= $true )
| ( ( less_eq @ SV88 @ SV173 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(941,plain,
! [SV89: a,SV174: a,SV218: a] :
( ( ( ! [SY484: a] :
( ( inf @ ( sK4_SX3 @ SV218 @ SV174 @ SV89 ) @ ( sup @ ( sK8_SY481 @ SV89 @ SV174 @ SV218 ) @ SY484 ) )
= ( sup @ ( inf @ ( sK4_SX3 @ SV218 @ SV174 @ SV89 ) @ ( sK8_SY481 @ SV89 @ SV174 @ SV218 ) ) @ ( inf @ ( sK4_SX3 @ SV218 @ SV174 @ SV89 ) @ SY484 ) ) ) )
= $false )
| ( ( ( sup @ SV89 @ ( inf @ SV174 @ SV218 ) )
= ( inf @ ( sup @ SV89 @ SV174 ) @ ( sup @ SV89 @ SV218 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[894]) ).
thf(942,plain,
! [SV226: a,SV224: a,SV219: a > a > a,SV115: a > a > a] :
( ( ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 @ SV226 )
= ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 @ SV226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(943,plain,
! [SV118: a,SV33: a] :
( ( ( ~ ( less_eq @ SV33 @ SV118 ) )
= $false )
| ( ( less_eq @ SV33 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(944,plain,
! [SV118: a,SV33: a] :
( ( ( ( inf @ SV33 @ SV118 )
!= SV33 )
= $false )
| ( ( less_eq @ SV33 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(945,plain,
! [SV118: a,SV33: a] :
( ( ( ~ ( less_eq @ SV33 @ SV118 ) )
= $false )
| ( ( ( inf @ SV33 @ SV118 )
= SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(946,plain,
! [SV118: a,SV33: a] :
( ( ( ( inf @ SV33 @ SV118 )
!= SV33 )
= $false )
| ( ( ( inf @ SV33 @ SV118 )
= SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(947,plain,
! [SV121: a,SV36: a] :
( ( ( ~ ( less_eq @ SV36 @ SV121 ) )
= $false )
| ( ( less_eq @ SV36 @ SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(948,plain,
! [SV121: a,SV36: a] :
( ( ( SV36
!= ( inf @ SV36 @ SV121 ) )
= $false )
| ( ( less_eq @ SV36 @ SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(949,plain,
! [SV121: a,SV36: a] :
( ( ( ~ ( less_eq @ SV36 @ SV121 ) )
= $false )
| ( ( SV36
= ( inf @ SV36 @ SV121 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(950,plain,
! [SV121: a,SV36: a] :
( ( ( SV36
!= ( inf @ SV36 @ SV121 ) )
= $false )
| ( ( SV36
= ( inf @ SV36 @ SV121 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(951,plain,
! [SV124: a,SV39: a] :
( ( ( ~ ( less_eq @ SV39 @ SV124 ) )
= $false )
| ( ( less_eq @ SV39 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[901]) ).
thf(952,plain,
! [SV39: a,SV124: a] :
( ( ( ( inf @ SV124 @ SV39 )
!= SV39 )
= $false )
| ( ( less_eq @ SV39 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[901]) ).
thf(953,plain,
! [SV124: a,SV39: a] :
( ( ( ~ ( less_eq @ SV39 @ SV124 ) )
= $false )
| ( ( ( inf @ SV124 @ SV39 )
= SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(954,plain,
! [SV39: a,SV124: a] :
( ( ( ( inf @ SV124 @ SV39 )
!= SV39 )
= $false )
| ( ( ( inf @ SV124 @ SV39 )
= SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(955,plain,
! [SV125: a,SV40: a] :
( ( ( ~ ( less_eq @ SV40 @ SV125 ) )
= $false )
| ( ( less_eq @ SV40 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(956,plain,
! [SV125: a,SV40: a] :
( ( ( ( inf @ SV40 @ SV125 )
!= SV40 )
= $false )
| ( ( less_eq @ SV40 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(957,plain,
! [SV125: a,SV40: a] :
( ( ( ~ ( less_eq @ SV40 @ SV125 ) )
= $false )
| ( ( ( inf @ SV40 @ SV125 )
= SV40 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(958,plain,
! [SV125: a,SV40: a] :
( ( ( ( inf @ SV40 @ SV125 )
!= SV40 )
= $false )
| ( ( ( inf @ SV40 @ SV125 )
= SV40 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(959,plain,
! [SV128: a,SV43: a] :
( ( ( ~ ( less_eq @ SV43 @ SV128 ) )
= $false )
| ( ( less_eq @ SV43 @ SV128 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(960,plain,
! [SV43: a,SV128: a] :
( ( ( SV128
!= ( sup @ SV128 @ SV43 ) )
= $false )
| ( ( less_eq @ SV43 @ SV128 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(961,plain,
! [SV128: a,SV43: a] :
( ( ( ~ ( less_eq @ SV43 @ SV128 ) )
= $false )
| ( ( SV128
= ( sup @ SV128 @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[906]) ).
thf(962,plain,
! [SV43: a,SV128: a] :
( ( ( SV128
!= ( sup @ SV128 @ SV43 ) )
= $false )
| ( ( SV128
= ( sup @ SV128 @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[906]) ).
thf(963,plain,
! [SV131: a,SV46: a] :
( ( ( ~ ( less_eq @ SV46 @ SV131 ) )
= $false )
| ( ( less_eq @ SV46 @ SV131 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[907]) ).
thf(964,plain,
! [SV131: a,SV46: a] :
( ( ( ( sup @ SV46 @ SV131 )
!= SV131 )
= $false )
| ( ( less_eq @ SV46 @ SV131 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[907]) ).
thf(965,plain,
! [SV131: a,SV46: a] :
( ( ( ~ ( less_eq @ SV46 @ SV131 ) )
= $false )
| ( ( ( sup @ SV46 @ SV131 )
= SV131 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[908]) ).
thf(966,plain,
! [SV131: a,SV46: a] :
( ( ( ( sup @ SV46 @ SV131 )
!= SV131 )
= $false )
| ( ( ( sup @ SV46 @ SV131 )
= SV131 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[908]) ).
thf(967,plain,
! [SV132: a,SV47: a] :
( ( ( ~ ( less_eq @ SV47 @ SV132 ) )
= $false )
| ( ( less_eq @ SV47 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(968,plain,
! [SV47: a,SV132: a] :
( ( ( ( sup @ SV132 @ SV47 )
!= SV132 )
= $false )
| ( ( less_eq @ SV47 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(969,plain,
! [SV132: a,SV47: a] :
( ( ( ~ ( less_eq @ SV47 @ SV132 ) )
= $false )
| ( ( ( sup @ SV132 @ SV47 )
= SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(970,plain,
! [SV47: a,SV132: a] :
( ( ( ( sup @ SV132 @ SV47 )
!= SV132 )
= $false )
| ( ( ( sup @ SV132 @ SV47 )
= SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(971,plain,
! [SV133: a,SV48: a] :
( ( ( ~ ( less_eq @ SV48 @ SV133 ) )
= $false )
| ( ( less_eq @ SV48 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[911]) ).
thf(972,plain,
! [SV133: a,SV48: a] :
( ( ( ( sup @ SV48 @ SV133 )
!= SV133 )
= $false )
| ( ( less_eq @ SV48 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[911]) ).
thf(973,plain,
! [SV133: a,SV48: a] :
( ( ( ~ ( less_eq @ SV48 @ SV133 ) )
= $false )
| ( ( ( sup @ SV48 @ SV133 )
= SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(974,plain,
! [SV133: a,SV48: a] :
( ( ( ( sup @ SV48 @ SV133 )
!= SV133 )
= $false )
| ( ( ( sup @ SV48 @ SV133 )
= SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(975,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) )
= $false )
| ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(976,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[914]) ).
thf(977,plain,
! [SV192: a,SV139: a,SV54: a] :
( ( ( ~ ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) )
= $false )
| ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(978,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[916]) ).
thf(979,plain,
! [SV193: a,SV140: a,SV55: a] :
( ( ( ~ ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) )
= $false )
| ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(980,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[918]) ).
thf(981,plain,
! [SV141: a,SV194: a,SV56: a] :
( ( ( less_eq @ SV56 @ SV194 )
= $true )
| ( ( less_eq @ ( sup @ SV56 @ SV141 ) @ SV194 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[919]) ).
thf(982,plain,
! [SV56: a,SV194: a,SV141: a] :
( ( ( less_eq @ SV141 @ SV194 )
= $true )
| ( ( less_eq @ ( sup @ SV56 @ SV141 ) @ SV194 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[920]) ).
thf(983,plain,
! [SV195: a,SV142: a,SV57: a] :
( ( ( less_eq @ SV57 @ SV142 )
= $true )
| ( ( less_eq @ SV57 @ ( inf @ SV142 @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[921]) ).
thf(984,plain,
! [SV142: a,SV195: a,SV57: a] :
( ( ( less_eq @ SV57 @ SV195 )
= $true )
| ( ( less_eq @ SV57 @ ( inf @ SV142 @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[922]) ).
thf(985,plain,
! [SV198: a,SV145: a,SV60: a > a > a] :
( ( ( ~ ! [SY318: a,SY319: a] : ( less_eq @ SY319 @ ( SV60 @ SY318 @ SY319 ) ) )
= $true )
| ( ( ~ ! [SY320: a,SY321: a,SY322: a] :
( ~ ( less_eq @ SY321 @ SY320 )
| ~ ( less_eq @ SY322 @ SY320 )
| ( less_eq @ ( SV60 @ SY321 @ SY322 ) @ SY320 ) )
| ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) ) )
= $true )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(986,plain,
! [SV146: a,SV61: a,SV220: a,SV199: a] :
( ( ( less_eq @ SV199 @ SV220 )
= $false )
| ( ( less_eq @ ( inf @ SV61 @ SV199 ) @ ( inf @ SV146 @ SV220 ) )
= $true )
| ( ( less_eq @ SV61 @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(987,plain,
! [SV200: a,SV147: a,SV62: a > a > a] :
( ( ( ~ ! [SY330: a,SY331: a] : ( less_eq @ ( SV62 @ SY330 @ SY331 ) @ SY331 ) )
= $true )
| ( ( ~ ! [SY332: a,SY333: a,SY334: a] :
( ~ ( less_eq @ SY332 @ SY333 )
| ~ ( less_eq @ SY332 @ SY334 )
| ( less_eq @ SY332 @ ( SV62 @ SY333 @ SY334 ) ) )
| ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(988,plain,
! [SV155: a,SV70: a,SV221: a,SV204: a] :
( ( ( less_eq @ SV204 @ SV221 )
= $false )
| ( ( less_eq @ ( sup @ SV70 @ SV204 ) @ ( sup @ SV155 @ SV221 ) )
= $true )
| ( ( less_eq @ SV70 @ SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(989,plain,
! [SV156: a,SV71: a,SV222: a,SV205: a] :
( ( ( less_eq @ SV205 @ SV222 )
= $false )
| ( ( less_eq @ ( sup @ SV71 @ SV205 ) @ ( sup @ SV156 @ SV222 ) )
= $true )
| ( ( less_eq @ SV71 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(990,plain,
! [SV208: a,SV160: a,SV75: a] :
( ( ( less_eq @ SV75 @ SV160 )
= $true )
| ( ( less_eq @ SV75 @ ( inf @ SV160 @ SV208 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[931]) ).
thf(991,plain,
! [SV160: a,SV208: a,SV75: a] :
( ( ( less_eq @ SV75 @ SV208 )
= $true )
| ( ( less_eq @ SV75 @ ( inf @ SV160 @ SV208 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(992,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) )
= $false )
| ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(993,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(994,plain,
! [SV77: a,SV162: a,SV210: a] :
( ( ( ( sup @ ( sK3_SX3 @ SV210 @ SV162 @ SV77 ) @ ( inf @ ( sK7_SY479 @ SV77 @ SV162 @ SV210 ) @ ( sK9_SY483 @ SV77 @ SV162 @ SV210 ) ) )
= ( inf @ ( sup @ ( sK3_SX3 @ SV210 @ SV162 @ SV77 ) @ ( sK7_SY479 @ SV77 @ SV162 @ SV210 ) ) @ ( sup @ ( sK3_SX3 @ SV210 @ SV162 @ SV77 ) @ ( sK9_SY483 @ SV77 @ SV162 @ SV210 ) ) ) )
= $false )
| ( ( ( inf @ SV77 @ ( sup @ SV162 @ SV210 ) )
= ( sup @ ( inf @ SV77 @ SV162 ) @ ( inf @ SV77 @ SV210 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[935]) ).
thf(995,plain,
! [SV172: a,SV216: a,SV87: a] :
( ( ( less_eq @ SV87 @ SV216 )
= $true )
| ( ( less_eq @ ( sup @ SV87 @ SV172 ) @ SV216 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[938]) ).
thf(996,plain,
! [SV87: a,SV216: a,SV172: a] :
( ( ( less_eq @ SV172 @ SV216 )
= $true )
| ( ( less_eq @ ( sup @ SV87 @ SV172 ) @ SV216 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[939]) ).
thf(997,plain,
! [SV89: a,SV174: a,SV218: a] :
( ( ( ( inf @ ( sK4_SX3 @ SV218 @ SV174 @ SV89 ) @ ( sup @ ( sK8_SY481 @ SV89 @ SV174 @ SV218 ) @ ( sK10_SY484 @ SV89 @ SV174 @ SV218 ) ) )
= ( sup @ ( inf @ ( sK4_SX3 @ SV218 @ SV174 @ SV89 ) @ ( sK8_SY481 @ SV89 @ SV174 @ SV218 ) ) @ ( inf @ ( sK4_SX3 @ SV218 @ SV174 @ SV89 ) @ ( sK10_SY484 @ SV89 @ SV174 @ SV218 ) ) ) )
= $false )
| ( ( ( sup @ SV89 @ ( inf @ SV174 @ SV218 ) )
= ( inf @ ( sup @ SV89 @ SV174 ) @ ( sup @ SV89 @ SV218 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[941]) ).
thf(998,plain,
! [SV226: a,SV224: a,SV219: a > a > a,SV115: a > a > a] :
( ( ! [SV227: a] :
( ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 @ SV226 @ SV227 )
= ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 @ SV226 @ SV227 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[942]) ).
thf(999,plain,
! [SV226: a,SV224: a,SV219: a > a > a,SV115: a > a > a] :
( ( ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 @ SV226 )
= ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 @ SV226 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[942]) ).
thf(1000,plain,
! [SV118: a,SV33: a] :
( ( ( less_eq @ SV33 @ SV118 )
= $true )
| ( ( less_eq @ SV33 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[943]) ).
thf(1001,plain,
! [SV118: a,SV33: a] :
( ( ( ( inf @ SV33 @ SV118 )
= SV33 )
= $true )
| ( ( less_eq @ SV33 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[944]) ).
thf(1002,plain,
! [SV118: a,SV33: a] :
( ( ( less_eq @ SV33 @ SV118 )
= $true )
| ( ( ( inf @ SV33 @ SV118 )
= SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[945]) ).
thf(1003,plain,
! [SV118: a,SV33: a] :
( ( ( ( inf @ SV33 @ SV118 )
= SV33 )
= $true )
| ( ( ( inf @ SV33 @ SV118 )
= SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[946]) ).
thf(1004,plain,
! [SV121: a,SV36: a] :
( ( ( less_eq @ SV36 @ SV121 )
= $true )
| ( ( less_eq @ SV36 @ SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[947]) ).
thf(1005,plain,
! [SV121: a,SV36: a] :
( ( ( SV36
= ( inf @ SV36 @ SV121 ) )
= $true )
| ( ( less_eq @ SV36 @ SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[948]) ).
thf(1006,plain,
! [SV121: a,SV36: a] :
( ( ( less_eq @ SV36 @ SV121 )
= $true )
| ( ( SV36
= ( inf @ SV36 @ SV121 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[949]) ).
thf(1007,plain,
! [SV121: a,SV36: a] :
( ( ( SV36
= ( inf @ SV36 @ SV121 ) )
= $true )
| ( ( SV36
= ( inf @ SV36 @ SV121 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[950]) ).
thf(1008,plain,
! [SV124: a,SV39: a] :
( ( ( less_eq @ SV39 @ SV124 )
= $true )
| ( ( less_eq @ SV39 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(1009,plain,
! [SV39: a,SV124: a] :
( ( ( ( inf @ SV124 @ SV39 )
= SV39 )
= $true )
| ( ( less_eq @ SV39 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(1010,plain,
! [SV124: a,SV39: a] :
( ( ( less_eq @ SV39 @ SV124 )
= $true )
| ( ( ( inf @ SV124 @ SV39 )
= SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[953]) ).
thf(1011,plain,
! [SV39: a,SV124: a] :
( ( ( ( inf @ SV124 @ SV39 )
= SV39 )
= $true )
| ( ( ( inf @ SV124 @ SV39 )
= SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[954]) ).
thf(1012,plain,
! [SV125: a,SV40: a] :
( ( ( less_eq @ SV40 @ SV125 )
= $true )
| ( ( less_eq @ SV40 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[955]) ).
thf(1013,plain,
! [SV125: a,SV40: a] :
( ( ( ( inf @ SV40 @ SV125 )
= SV40 )
= $true )
| ( ( less_eq @ SV40 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[956]) ).
thf(1014,plain,
! [SV125: a,SV40: a] :
( ( ( less_eq @ SV40 @ SV125 )
= $true )
| ( ( ( inf @ SV40 @ SV125 )
= SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[957]) ).
thf(1015,plain,
! [SV125: a,SV40: a] :
( ( ( ( inf @ SV40 @ SV125 )
= SV40 )
= $true )
| ( ( ( inf @ SV40 @ SV125 )
= SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[958]) ).
thf(1016,plain,
! [SV128: a,SV43: a] :
( ( ( less_eq @ SV43 @ SV128 )
= $true )
| ( ( less_eq @ SV43 @ SV128 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[959]) ).
thf(1017,plain,
! [SV43: a,SV128: a] :
( ( ( SV128
= ( sup @ SV128 @ SV43 ) )
= $true )
| ( ( less_eq @ SV43 @ SV128 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[960]) ).
thf(1018,plain,
! [SV128: a,SV43: a] :
( ( ( less_eq @ SV43 @ SV128 )
= $true )
| ( ( SV128
= ( sup @ SV128 @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(1019,plain,
! [SV43: a,SV128: a] :
( ( ( SV128
= ( sup @ SV128 @ SV43 ) )
= $true )
| ( ( SV128
= ( sup @ SV128 @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(1020,plain,
! [SV131: a,SV46: a] :
( ( ( less_eq @ SV46 @ SV131 )
= $true )
| ( ( less_eq @ SV46 @ SV131 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[963]) ).
thf(1021,plain,
! [SV131: a,SV46: a] :
( ( ( ( sup @ SV46 @ SV131 )
= SV131 )
= $true )
| ( ( less_eq @ SV46 @ SV131 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(1022,plain,
! [SV131: a,SV46: a] :
( ( ( less_eq @ SV46 @ SV131 )
= $true )
| ( ( ( sup @ SV46 @ SV131 )
= SV131 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(1023,plain,
! [SV131: a,SV46: a] :
( ( ( ( sup @ SV46 @ SV131 )
= SV131 )
= $true )
| ( ( ( sup @ SV46 @ SV131 )
= SV131 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(1024,plain,
! [SV132: a,SV47: a] :
( ( ( less_eq @ SV47 @ SV132 )
= $true )
| ( ( less_eq @ SV47 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[967]) ).
thf(1025,plain,
! [SV47: a,SV132: a] :
( ( ( ( sup @ SV132 @ SV47 )
= SV132 )
= $true )
| ( ( less_eq @ SV47 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1026,plain,
! [SV132: a,SV47: a] :
( ( ( less_eq @ SV47 @ SV132 )
= $true )
| ( ( ( sup @ SV132 @ SV47 )
= SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(1027,plain,
! [SV47: a,SV132: a] :
( ( ( ( sup @ SV132 @ SV47 )
= SV132 )
= $true )
| ( ( ( sup @ SV132 @ SV47 )
= SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[970]) ).
thf(1028,plain,
! [SV133: a,SV48: a] :
( ( ( less_eq @ SV48 @ SV133 )
= $true )
| ( ( less_eq @ SV48 @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1029,plain,
! [SV133: a,SV48: a] :
( ( ( ( sup @ SV48 @ SV133 )
= SV133 )
= $true )
| ( ( less_eq @ SV48 @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[972]) ).
thf(1030,plain,
! [SV133: a,SV48: a] :
( ( ( less_eq @ SV48 @ SV133 )
= $true )
| ( ( ( sup @ SV48 @ SV133 )
= SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[973]) ).
thf(1031,plain,
! [SV133: a,SV48: a] :
( ( ( ( sup @ SV48 @ SV133 )
= SV133 )
= $true )
| ( ( ( sup @ SV48 @ SV133 )
= SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[974]) ).
thf(1032,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) ) )
= $false )
| ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[975]) ).
thf(1033,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) )
= $false )
| ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[975]) ).
thf(1034,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( less_eq @ SV50 @ SV135 ) )
= $true )
| ( ( ~ ( less_eq @ SV50 @ SV190 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(1035,plain,
! [SV192: a,SV139: a,SV54: a] :
( ( ( ~ ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 ) )
= $false )
| ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[977]) ).
thf(1036,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) )
= $false )
| ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[977]) ).
thf(1037,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( ~ ( less_eq @ SV54 @ SV192 ) )
= $true )
| ( ( ~ ( less_eq @ SV139 @ SV192 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[978]) ).
thf(1038,plain,
! [SV193: a,SV140: a,SV55: a] :
( ( ( ~ ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 ) )
= $false )
| ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[979]) ).
thf(1039,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) )
= $false )
| ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[979]) ).
thf(1040,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( ~ ( less_eq @ SV55 @ SV193 ) )
= $true )
| ( ( ~ ( less_eq @ SV140 @ SV193 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[980]) ).
thf(1041,plain,
! [SV198: a,SV145: a,SV60: a > a > a] :
( ( ( ! [SY318: a,SY319: a] : ( less_eq @ SY319 @ ( SV60 @ SY318 @ SY319 ) ) )
= $false )
| ( ( ~ ! [SY320: a,SY321: a,SY322: a] :
( ~ ( less_eq @ SY321 @ SY320 )
| ~ ( less_eq @ SY322 @ SY320 )
| ( less_eq @ ( SV60 @ SY321 @ SY322 ) @ SY320 ) )
| ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) ) )
= $true )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1042,plain,
! [SV200: a,SV147: a,SV62: a > a > a] :
( ( ( ! [SY330: a,SY331: a] : ( less_eq @ ( SV62 @ SY330 @ SY331 ) @ SY331 ) )
= $false )
| ( ( ~ ! [SY332: a,SY333: a,SY334: a] :
( ~ ( less_eq @ SY332 @ SY333 )
| ~ ( less_eq @ SY332 @ SY334 )
| ( less_eq @ SY332 @ ( SV62 @ SY333 @ SY334 ) ) )
| ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1043,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) ) )
= $false )
| ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[992]) ).
thf(1044,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) )
= $false )
| ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[992]) ).
thf(1045,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( less_eq @ SV76 @ SV161 ) )
= $true )
| ( ( ~ ( less_eq @ SV76 @ SV209 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[993]) ).
thf(1046,plain,
! [SV228: a,SV226: a,SV224: a,SV219: a > a > a,SV115: a > a > a] :
( ( ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 @ SV226 @ SV228 )
= ( modula1144073633_aux_a @ SV115 @ SV219 @ SV224 @ SV226 @ SV228 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1047,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= $true )
| ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1032]) ).
thf(1048,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) )
= $true )
| ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1033]) ).
thf(1049,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( less_eq @ SV50 @ SV135 )
= $false )
| ( ( ~ ( less_eq @ SV50 @ SV190 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1034]) ).
thf(1050,plain,
! [SV192: a,SV139: a,SV54: a] :
( ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= $true )
| ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1051,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) )
= $true )
| ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1052,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( less_eq @ SV54 @ SV192 )
= $false )
| ( ( ~ ( less_eq @ SV139 @ SV192 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1053,plain,
! [SV193: a,SV140: a,SV55: a] :
( ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= $true )
| ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1038]) ).
thf(1054,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) )
= $true )
| ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1039]) ).
thf(1055,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( less_eq @ SV55 @ SV193 )
= $false )
| ( ( ~ ( less_eq @ SV140 @ SV193 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1056,plain,
! [SV145: a,SV198: a,SV60: a > a > a] :
( ( ( ! [SY485: a] : ( less_eq @ SY485 @ ( SV60 @ ( sK11_SY318 @ SV198 @ SV145 @ SV60 ) @ SY485 ) ) )
= $false )
| ( ( ~ ! [SY320: a,SY321: a,SY322: a] :
( ~ ( less_eq @ SY321 @ SY320 )
| ~ ( less_eq @ SY322 @ SY320 )
| ( less_eq @ ( SV60 @ SY321 @ SY322 ) @ SY320 ) )
| ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) ) )
= $true )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1041]) ).
thf(1057,plain,
! [SV147: a,SV200: a,SV62: a > a > a] :
( ( ( ! [SY486: a] : ( less_eq @ ( SV62 @ ( sK12_SY330 @ SV200 @ SV147 @ SV62 ) @ SY486 ) @ SY486 ) )
= $false )
| ( ( ~ ! [SY332: a,SY333: a,SY334: a] :
( ~ ( less_eq @ SY332 @ SY333 )
| ~ ( less_eq @ SY332 @ SY334 )
| ( less_eq @ SY332 @ ( SV62 @ SY333 @ SY334 ) ) )
| ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1042]) ).
thf(1058,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= $true )
| ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1043]) ).
thf(1059,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) )
= $true )
| ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1044]) ).
thf(1060,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( less_eq @ SV76 @ SV161 )
= $false )
| ( ( ~ ( less_eq @ SV76 @ SV209 ) )
= $true )
| ( ( ~ ( ~ ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1061,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) )
= $false )
| ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1062,plain,
! [SV135: a,SV190: a,SV50: a] :
( ( ( less_eq @ SV50 @ SV190 )
= $false )
| ( ( less_eq @ SV50 @ SV135 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1049]) ).
thf(1063,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) )
= $false )
| ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1051]) ).
thf(1064,plain,
! [SV54: a,SV192: a,SV139: a] :
( ( ( less_eq @ SV139 @ SV192 )
= $false )
| ( ( less_eq @ SV54 @ SV192 )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1065,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) )
= $false )
| ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1066,plain,
! [SV55: a,SV193: a,SV140: a] :
( ( ( less_eq @ SV140 @ SV193 )
= $false )
| ( ( less_eq @ SV55 @ SV193 )
= $false )
| ( ( ~ ( ~ ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1067,plain,
! [SV60: a > a > a,SV198: a,SV145: a] :
( ( ( less_eq @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) @ ( SV60 @ ( sK11_SY318 @ SV198 @ SV145 @ SV60 ) @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) ) )
= $false )
| ( ( ~ ! [SY320: a,SY321: a,SY322: a] :
( ~ ( less_eq @ SY321 @ SY320 )
| ~ ( less_eq @ SY322 @ SY320 )
| ( less_eq @ ( SV60 @ SY321 @ SY322 ) @ SY320 ) )
| ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) ) )
= $true )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1056]) ).
thf(1068,plain,
! [SV147: a,SV200: a,SV62: a > a > a] :
( ( ( less_eq @ ( SV62 @ ( sK12_SY330 @ SV200 @ SV147 @ SV62 ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) )
= $false )
| ( ( ~ ! [SY332: a,SY333: a,SY334: a] :
( ~ ( less_eq @ SY332 @ SY333 )
| ~ ( less_eq @ SY332 @ SY334 )
| ( less_eq @ SY332 @ ( SV62 @ SY333 @ SY334 ) ) )
| ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1057]) ).
thf(1069,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) )
= $false )
| ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1070,plain,
! [SV161: a,SV209: a,SV76: a] :
( ( ( less_eq @ SV76 @ SV209 )
= $false )
| ( ( less_eq @ SV76 @ SV161 )
= $false )
| ( ( ~ ( ~ ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1071,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( less_eq @ SV50 @ SV135 ) )
= $false )
| ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1072,plain,
! [SV135: a,SV190: a,SV50: a] :
( ( ( ~ ( less_eq @ SV50 @ SV190 ) )
= $false )
| ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1073,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
| ~ ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) )
= $false )
| ( ( less_eq @ SV50 @ SV135 )
= $false )
| ( ( less_eq @ SV50 @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1074,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( ~ ( less_eq @ SV54 @ SV192 ) )
= $false )
| ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1075,plain,
! [SV54: a,SV192: a,SV139: a] :
( ( ( ~ ( less_eq @ SV139 @ SV192 ) )
= $false )
| ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1076,plain,
! [SV192: a,SV139: a,SV54: a] :
( ( ( ~ ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
| ~ ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) )
= $false )
| ( ( less_eq @ SV54 @ SV192 )
= $false )
| ( ( less_eq @ SV139 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1077,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( ~ ( less_eq @ SV55 @ SV193 ) )
= $false )
| ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1078,plain,
! [SV55: a,SV193: a,SV140: a] :
( ( ( ~ ( less_eq @ SV140 @ SV193 ) )
= $false )
| ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1079,plain,
! [SV193: a,SV140: a,SV55: a] :
( ( ( ~ ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
| ~ ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) )
= $false )
| ( ( less_eq @ SV55 @ SV193 )
= $false )
| ( ( less_eq @ SV140 @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1080,plain,
! [SV198: a,SV145: a,SV60: a > a > a] :
( ( ( ~ ! [SY320: a,SY321: a,SY322: a] :
( ~ ( less_eq @ SY321 @ SY320 )
| ~ ( less_eq @ SY322 @ SY320 )
| ( less_eq @ ( SV60 @ SY321 @ SY322 ) @ SY320 ) ) )
= $true )
| ( ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) )
= $true )
| ( ( less_eq @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) @ ( SV60 @ ( sK11_SY318 @ SV198 @ SV145 @ SV60 ) @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) ) )
= $false )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1081,plain,
! [SV200: a,SV147: a,SV62: a > a > a] :
( ( ( ~ ! [SY332: a,SY333: a,SY334: a] :
( ~ ( less_eq @ SY332 @ SY333 )
| ~ ( less_eq @ SY332 @ SY334 )
| ( less_eq @ SY332 @ ( SV62 @ SY333 @ SY334 ) ) ) )
= $true )
| ( ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK12_SY330 @ SV200 @ SV147 @ SV62 ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) )
= $false )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1068]) ).
thf(1082,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( less_eq @ SV76 @ SV161 ) )
= $false )
| ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1069]) ).
thf(1083,plain,
! [SV161: a,SV209: a,SV76: a] :
( ( ( ~ ( less_eq @ SV76 @ SV209 ) )
= $false )
| ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1069]) ).
thf(1084,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
| ~ ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) )
= $false )
| ( ( less_eq @ SV76 @ SV161 )
= $false )
| ( ( less_eq @ SV76 @ SV209 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1085,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( less_eq @ SV50 @ SV135 )
= $true )
| ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1086,plain,
! [SV135: a,SV190: a,SV50: a] :
( ( ( less_eq @ SV50 @ SV190 )
= $true )
| ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1072]) ).
thf(1087,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) ) )
= $false )
| ( ( less_eq @ SV50 @ SV135 )
= $false )
| ( ( less_eq @ SV50 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1073]) ).
thf(1088,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) )
= $false )
| ( ( less_eq @ SV50 @ SV135 )
= $false )
| ( ( less_eq @ SV50 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1073]) ).
thf(1089,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( less_eq @ SV54 @ SV192 )
= $true )
| ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1090,plain,
! [SV54: a,SV192: a,SV139: a] :
( ( ( less_eq @ SV139 @ SV192 )
= $true )
| ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1091,plain,
! [SV192: a,SV139: a,SV54: a] :
( ( ( ~ ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 ) )
= $false )
| ( ( less_eq @ SV54 @ SV192 )
= $false )
| ( ( less_eq @ SV139 @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1076]) ).
thf(1092,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) )
= $false )
| ( ( less_eq @ SV54 @ SV192 )
= $false )
| ( ( less_eq @ SV139 @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1076]) ).
thf(1093,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( less_eq @ SV55 @ SV193 )
= $true )
| ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1077]) ).
thf(1094,plain,
! [SV55: a,SV193: a,SV140: a] :
( ( ( less_eq @ SV140 @ SV193 )
= $true )
| ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1095,plain,
! [SV193: a,SV140: a,SV55: a] :
( ( ( ~ ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 ) )
= $false )
| ( ( less_eq @ SV55 @ SV193 )
= $false )
| ( ( less_eq @ SV140 @ SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1079]) ).
thf(1096,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) )
= $false )
| ( ( less_eq @ SV55 @ SV193 )
= $false )
| ( ( less_eq @ SV140 @ SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1079]) ).
thf(1097,plain,
! [SV198: a,SV145: a,SV60: a > a > a] :
( ( ( ! [SY320: a,SY321: a,SY322: a] :
( ~ ( less_eq @ SY321 @ SY320 )
| ~ ( less_eq @ SY322 @ SY320 )
| ( less_eq @ ( SV60 @ SY321 @ SY322 ) @ SY320 ) ) )
= $false )
| ( ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) )
= $true )
| ( ( less_eq @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) @ ( SV60 @ ( sK11_SY318 @ SV198 @ SV145 @ SV60 ) @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) ) )
= $false )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1098,plain,
! [SV200: a,SV147: a,SV62: a > a > a] :
( ( ( ! [SY332: a,SY333: a,SY334: a] :
( ~ ( less_eq @ SY332 @ SY333 )
| ~ ( less_eq @ SY332 @ SY334 )
| ( less_eq @ SY332 @ ( SV62 @ SY333 @ SY334 ) ) ) )
= $false )
| ( ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK12_SY330 @ SV200 @ SV147 @ SV62 ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) )
= $false )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1099,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( less_eq @ SV76 @ SV161 )
= $true )
| ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1100,plain,
! [SV161: a,SV209: a,SV76: a] :
( ( ( less_eq @ SV76 @ SV209 )
= $true )
| ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1083]) ).
thf(1101,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) ) )
= $false )
| ( ( less_eq @ SV76 @ SV161 )
= $false )
| ( ( less_eq @ SV76 @ SV209 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1102,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) )
= $false )
| ( ( less_eq @ SV76 @ SV161 )
= $false )
| ( ( less_eq @ SV76 @ SV209 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1103,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( less_eq @ SV50 @ ( inf @ SV135 @ SV190 ) )
= $true )
| ( ( less_eq @ SV50 @ SV135 )
= $false )
| ( ( less_eq @ SV50 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1087]) ).
thf(1104,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) ) )
= $true )
| ( ( less_eq @ SV50 @ SV135 )
= $false )
| ( ( less_eq @ SV50 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1088]) ).
thf(1105,plain,
! [SV192: a,SV139: a,SV54: a] :
( ( ( less_eq @ ( sup @ SV54 @ SV139 ) @ SV192 )
= $true )
| ( ( less_eq @ SV54 @ SV192 )
= $false )
| ( ( less_eq @ SV139 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1091]) ).
thf(1106,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( ~ ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) ) )
= $true )
| ( ( less_eq @ SV54 @ SV192 )
= $false )
| ( ( less_eq @ SV139 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1092]) ).
thf(1107,plain,
! [SV193: a,SV140: a,SV55: a] :
( ( ( less_eq @ ( sup @ SV55 @ SV140 ) @ SV193 )
= $true )
| ( ( less_eq @ SV55 @ SV193 )
= $false )
| ( ( less_eq @ SV140 @ SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1095]) ).
thf(1108,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( ~ ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) ) )
= $true )
| ( ( less_eq @ SV55 @ SV193 )
= $false )
| ( ( less_eq @ SV140 @ SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1096]) ).
thf(1109,plain,
! [SV60: a > a > a,SV145: a,SV198: a] :
( ( ( ! [SY487: a,SY488: a] :
( ~ ( less_eq @ SY487 @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) )
| ~ ( less_eq @ SY488 @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) )
| ( less_eq @ ( SV60 @ SY487 @ SY488 ) @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) ) ) )
= $false )
| ( ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) )
= $true )
| ( ( less_eq @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) @ ( SV60 @ ( sK11_SY318 @ SV198 @ SV145 @ SV60 ) @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) ) )
= $false )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1097]) ).
thf(1110,plain,
! [SV62: a > a > a,SV147: a,SV200: a] :
( ( ( ! [SY489: a,SY490: a] :
( ~ ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ SY489 )
| ~ ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ SY490 )
| ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ ( SV62 @ SY489 @ SY490 ) ) ) )
= $false )
| ( ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK12_SY330 @ SV200 @ SV147 @ SV62 ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) )
= $false )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1098]) ).
thf(1111,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( less_eq @ SV76 @ ( inf @ SV161 @ SV209 ) )
= $true )
| ( ( less_eq @ SV76 @ SV161 )
= $false )
| ( ( less_eq @ SV76 @ SV209 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1101]) ).
thf(1112,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) ) )
= $true )
| ( ( less_eq @ SV76 @ SV161 )
= $false )
| ( ( less_eq @ SV76 @ SV209 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1102]) ).
thf(1113,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( less_eq @ SV50 @ SV135 )
| ~ ( less_eq @ SV50 @ SV190 ) )
= $false )
| ( ( less_eq @ SV50 @ SV135 )
= $false )
| ( ( less_eq @ SV50 @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1114,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( ~ ( less_eq @ SV54 @ SV192 )
| ~ ( less_eq @ SV139 @ SV192 ) )
= $false )
| ( ( less_eq @ SV54 @ SV192 )
= $false )
| ( ( less_eq @ SV139 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1115,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( ~ ( less_eq @ SV55 @ SV193 )
| ~ ( less_eq @ SV140 @ SV193 ) )
= $false )
| ( ( less_eq @ SV55 @ SV193 )
= $false )
| ( ( less_eq @ SV140 @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1116,plain,
! [SV198: a,SV145: a,SV60: a > a > a] :
( ( ( ! [SY491: a] :
( ~ ( less_eq @ ( sK17_SY487 @ SV60 @ SV145 @ SV198 ) @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) )
| ~ ( less_eq @ SY491 @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) )
| ( less_eq @ ( SV60 @ ( sK17_SY487 @ SV60 @ SV145 @ SV198 ) @ SY491 ) @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) ) ) )
= $false )
| ( ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) )
= $true )
| ( ( less_eq @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) @ ( SV60 @ ( sK11_SY318 @ SV198 @ SV145 @ SV60 ) @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) ) )
= $false )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1109]) ).
thf(1117,plain,
! [SV62: a > a > a,SV147: a,SV200: a] :
( ( ( ! [SY492: a] :
( ~ ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ ( sK18_SY489 @ SV62 @ SV147 @ SV200 ) )
| ~ ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ SY492 )
| ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ ( SV62 @ ( sK18_SY489 @ SV62 @ SV147 @ SV200 ) @ SY492 ) ) ) )
= $false )
| ( ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK12_SY330 @ SV200 @ SV147 @ SV62 ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) )
= $false )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1110]) ).
thf(1118,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( less_eq @ SV76 @ SV161 )
| ~ ( less_eq @ SV76 @ SV209 ) )
= $false )
| ( ( less_eq @ SV76 @ SV161 )
= $false )
| ( ( less_eq @ SV76 @ SV209 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1112]) ).
thf(1119,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( ~ ( less_eq @ SV50 @ SV135 ) )
= $false )
| ( ( less_eq @ SV50 @ SV135 )
= $false )
| ( ( less_eq @ SV50 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1120,plain,
! [SV135: a,SV190: a,SV50: a] :
( ( ( ~ ( less_eq @ SV50 @ SV190 ) )
= $false )
| ( ( less_eq @ SV50 @ SV135 )
= $false )
| ( ( less_eq @ SV50 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1121,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( ~ ( less_eq @ SV54 @ SV192 ) )
= $false )
| ( ( less_eq @ SV54 @ SV192 )
= $false )
| ( ( less_eq @ SV139 @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1122,plain,
! [SV54: a,SV192: a,SV139: a] :
( ( ( ~ ( less_eq @ SV139 @ SV192 ) )
= $false )
| ( ( less_eq @ SV54 @ SV192 )
= $false )
| ( ( less_eq @ SV139 @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1123,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( ~ ( less_eq @ SV55 @ SV193 ) )
= $false )
| ( ( less_eq @ SV55 @ SV193 )
= $false )
| ( ( less_eq @ SV140 @ SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1124,plain,
! [SV55: a,SV193: a,SV140: a] :
( ( ( ~ ( less_eq @ SV140 @ SV193 ) )
= $false )
| ( ( less_eq @ SV55 @ SV193 )
= $false )
| ( ( less_eq @ SV140 @ SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1125,plain,
! [SV198: a,SV145: a,SV60: a > a > a] :
( ( ( ~ ( less_eq @ ( sK17_SY487 @ SV60 @ SV145 @ SV198 ) @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) )
| ~ ( less_eq @ ( sK19_SY491 @ SV198 @ SV145 @ SV60 ) @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) )
| ( less_eq @ ( SV60 @ ( sK17_SY487 @ SV60 @ SV145 @ SV198 ) @ ( sK19_SY491 @ SV198 @ SV145 @ SV60 ) ) @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) ) )
= $false )
| ( ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) )
= $true )
| ( ( less_eq @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) @ ( SV60 @ ( sK11_SY318 @ SV198 @ SV145 @ SV60 ) @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) ) )
= $false )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1116]) ).
thf(1126,plain,
! [SV62: a > a > a,SV147: a,SV200: a] :
( ( ( ~ ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ ( sK18_SY489 @ SV62 @ SV147 @ SV200 ) )
| ~ ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ ( sK20_SY492 @ SV62 @ SV147 @ SV200 ) )
| ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ ( SV62 @ ( sK18_SY489 @ SV62 @ SV147 @ SV200 ) @ ( sK20_SY492 @ SV62 @ SV147 @ SV200 ) ) ) )
= $false )
| ( ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK12_SY330 @ SV200 @ SV147 @ SV62 ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) )
= $false )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1117]) ).
thf(1127,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( ~ ( less_eq @ SV76 @ SV161 ) )
= $false )
| ( ( less_eq @ SV76 @ SV161 )
= $false )
| ( ( less_eq @ SV76 @ SV209 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1128,plain,
! [SV161: a,SV209: a,SV76: a] :
( ( ( ~ ( less_eq @ SV76 @ SV209 ) )
= $false )
| ( ( less_eq @ SV76 @ SV161 )
= $false )
| ( ( less_eq @ SV76 @ SV209 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1129,plain,
! [SV190: a,SV135: a,SV50: a] :
( ( ( less_eq @ SV50 @ SV135 )
= $true )
| ( ( less_eq @ SV50 @ SV135 )
= $false )
| ( ( less_eq @ SV50 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1119]) ).
thf(1130,plain,
! [SV135: a,SV190: a,SV50: a] :
( ( ( less_eq @ SV50 @ SV190 )
= $true )
| ( ( less_eq @ SV50 @ SV135 )
= $false )
| ( ( less_eq @ SV50 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1120]) ).
thf(1131,plain,
! [SV139: a,SV192: a,SV54: a] :
( ( ( less_eq @ SV54 @ SV192 )
= $true )
| ( ( less_eq @ SV54 @ SV192 )
= $false )
| ( ( less_eq @ SV139 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1121]) ).
thf(1132,plain,
! [SV54: a,SV192: a,SV139: a] :
( ( ( less_eq @ SV139 @ SV192 )
= $true )
| ( ( less_eq @ SV54 @ SV192 )
= $false )
| ( ( less_eq @ SV139 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1122]) ).
thf(1133,plain,
! [SV140: a,SV193: a,SV55: a] :
( ( ( less_eq @ SV55 @ SV193 )
= $true )
| ( ( less_eq @ SV55 @ SV193 )
= $false )
| ( ( less_eq @ SV140 @ SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1134,plain,
! [SV55: a,SV193: a,SV140: a] :
( ( ( less_eq @ SV140 @ SV193 )
= $true )
| ( ( less_eq @ SV55 @ SV193 )
= $false )
| ( ( less_eq @ SV140 @ SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1135,plain,
! [SV198: a,SV145: a,SV60: a > a > a] :
( ( ( ~ ( less_eq @ ( sK17_SY487 @ SV60 @ SV145 @ SV198 ) @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) ) )
= $false )
| ( ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) )
= $true )
| ( ( less_eq @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) @ ( SV60 @ ( sK11_SY318 @ SV198 @ SV145 @ SV60 ) @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) ) )
= $false )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1136,plain,
! [SV60: a > a > a,SV145: a,SV198: a] :
( ( ( ~ ( less_eq @ ( sK19_SY491 @ SV198 @ SV145 @ SV60 ) @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) )
| ( less_eq @ ( SV60 @ ( sK17_SY487 @ SV60 @ SV145 @ SV198 ) @ ( sK19_SY491 @ SV198 @ SV145 @ SV60 ) ) @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) ) )
= $false )
| ( ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) )
= $true )
| ( ( less_eq @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) @ ( SV60 @ ( sK11_SY318 @ SV198 @ SV145 @ SV60 ) @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) ) )
= $false )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1137,plain,
! [SV62: a > a > a,SV147: a,SV200: a] :
( ( ( ~ ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ ( sK18_SY489 @ SV62 @ SV147 @ SV200 ) ) )
= $false )
| ( ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK12_SY330 @ SV200 @ SV147 @ SV62 ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) )
= $false )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1126]) ).
thf(1138,plain,
! [SV62: a > a > a,SV147: a,SV200: a] :
( ( ( ~ ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ ( sK20_SY492 @ SV62 @ SV147 @ SV200 ) )
| ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ ( SV62 @ ( sK18_SY489 @ SV62 @ SV147 @ SV200 ) @ ( sK20_SY492 @ SV62 @ SV147 @ SV200 ) ) ) )
= $false )
| ( ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK12_SY330 @ SV200 @ SV147 @ SV62 ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) )
= $false )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1126]) ).
thf(1139,plain,
! [SV209: a,SV161: a,SV76: a] :
( ( ( less_eq @ SV76 @ SV161 )
= $true )
| ( ( less_eq @ SV76 @ SV161 )
= $false )
| ( ( less_eq @ SV76 @ SV209 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1127]) ).
thf(1140,plain,
! [SV161: a,SV209: a,SV76: a] :
( ( ( less_eq @ SV76 @ SV209 )
= $true )
| ( ( less_eq @ SV76 @ SV161 )
= $false )
| ( ( less_eq @ SV76 @ SV209 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1128]) ).
thf(1141,plain,
! [SV198: a,SV145: a,SV60: a > a > a] :
( ( ( less_eq @ ( sK17_SY487 @ SV60 @ SV145 @ SV198 ) @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) )
= $true )
| ( ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) )
= $true )
| ( ( less_eq @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) @ ( SV60 @ ( sK11_SY318 @ SV198 @ SV145 @ SV60 ) @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) ) )
= $false )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1135]) ).
thf(1142,plain,
! [SV60: a > a > a,SV145: a,SV198: a] :
( ( ( ~ ( less_eq @ ( sK19_SY491 @ SV198 @ SV145 @ SV60 ) @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) ) )
= $false )
| ( ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) )
= $true )
| ( ( less_eq @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) @ ( SV60 @ ( sK11_SY318 @ SV198 @ SV145 @ SV60 ) @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) ) )
= $false )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1136]) ).
thf(1143,plain,
! [SV198: a,SV145: a,SV60: a > a > a] :
( ( ( less_eq @ ( SV60 @ ( sK17_SY487 @ SV60 @ SV145 @ SV198 ) @ ( sK19_SY491 @ SV198 @ SV145 @ SV60 ) ) @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) )
= $false )
| ( ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) )
= $true )
| ( ( less_eq @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) @ ( SV60 @ ( sK11_SY318 @ SV198 @ SV145 @ SV60 ) @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) ) )
= $false )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1136]) ).
thf(1144,plain,
! [SV62: a > a > a,SV147: a,SV200: a] :
( ( ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ ( sK18_SY489 @ SV62 @ SV147 @ SV200 ) )
= $true )
| ( ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK12_SY330 @ SV200 @ SV147 @ SV62 ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) )
= $false )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1137]) ).
thf(1145,plain,
! [SV62: a > a > a,SV147: a,SV200: a] :
( ( ( ~ ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ ( sK20_SY492 @ SV62 @ SV147 @ SV200 ) ) )
= $false )
| ( ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK12_SY330 @ SV200 @ SV147 @ SV62 ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) )
= $false )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1138]) ).
thf(1146,plain,
! [SV62: a > a > a,SV147: a,SV200: a] :
( ( ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ ( SV62 @ ( sK18_SY489 @ SV62 @ SV147 @ SV200 ) @ ( sK20_SY492 @ SV62 @ SV147 @ SV200 ) ) )
= $false )
| ( ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK12_SY330 @ SV200 @ SV147 @ SV62 ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) )
= $false )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1138]) ).
thf(1147,plain,
! [SV60: a > a > a,SV145: a,SV198: a] :
( ( ( less_eq @ ( sK19_SY491 @ SV198 @ SV145 @ SV60 ) @ ( sK15_SY320 @ SV198 @ SV145 @ SV60 ) )
= $true )
| ( ( ( sup @ SV145 @ SV198 )
= ( SV60 @ SV145 @ SV198 ) )
= $true )
| ( ( less_eq @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) @ ( SV60 @ ( sK11_SY318 @ SV198 @ SV145 @ SV60 ) @ ( sK13_SY485 @ SV145 @ SV198 @ SV60 ) ) )
= $false )
| ( ( less_eq @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( SV60 @ ( sK1_SY316 @ SV198 @ SV145 @ SV60 ) @ ( sK5_SY477 @ SV60 @ SV145 @ SV198 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1148,plain,
! [SV62: a > a > a,SV147: a,SV200: a] :
( ( ( less_eq @ ( sK16_SY332 @ SV200 @ SV147 @ SV62 ) @ ( sK20_SY492 @ SV62 @ SV147 @ SV200 ) )
= $true )
| ( ( ( inf @ SV147 @ SV200 )
= ( SV62 @ SV147 @ SV200 ) )
= $true )
| ( ( less_eq @ ( SV62 @ ( sK12_SY330 @ SV200 @ SV147 @ SV62 ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) ) @ ( sK14_SY486 @ SV147 @ SV200 @ SV62 ) )
= $false )
| ( ( less_eq @ ( SV62 @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) @ ( sK6_SY478 @ SV147 @ SV200 @ SV62 ) ) @ ( sK2_SY328 @ SV200 @ SV147 @ SV62 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1149,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[406,1148,1147,1146,1144,1143,1141,1140,1139,1134,1133,1132,1131,1130,1129,1111,1107,1105,1103,1100,1099,1094,1093,1090,1089,1086,1085,1058,1053,1050,1047,1046,1031,1030,1029,1028,1027,1026,1025,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,997,996,995,994,991,990,989,988,986,984,983,982,981,940,937,936,930,924,923,896,853,851,850,844,841,840,839,829,819,813,811,808,806,804,799,796,795,794,792,782,780,778,777,775,773,722,720,718,716,714,712,710,708,706,705,704,702,701,700,699,698,697,696,695,694,693,692,691,646,645,643,642,639,638,636,635,627,626,625,624,623,622,621,620,619,616,613,610,607,564,545,537,534,531,528,415,414,413,412,411,410,409,408,407]) ).
thf(1150,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP124^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n008.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 11:18:54 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 134.58/22.97 ..
% 134.58/22.97
% 134.58/22.97 No.of.Axioms: 99
% 134.58/22.97
% 134.58/22.97 Length.of.Defs: 0
% 134.58/22.97
% 134.58/22.97 Contains.Choice.Funs: false
% 134.58/22.97 ............................
% 134.58/22.97
% 134.58/22.97 ********************************
% 134.58/22.97 * All subproblems solved! *
% 134.58/22.97 ********************************
% 134.58/22.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:99,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1149,loop_count:0,foatp_calls:1,translation:fof_full)
% 134.58/22.97
% 134.58/22.97 %**** Beginning of derivation protocol ****
% 134.58/22.97 % SZS output start CNFRefutation
% See solution above
% 134.58/22.98
% 134.58/22.98 %**** End of derivation protocol ****
% 134.58/22.98 %**** no. of clauses in derivation: 979 ****
% 134.58/22.98 %**** clause counter: 1149 ****
% 134.58/22.98
% 134.58/22.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:99,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1149,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------