%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP194^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 10:24:46 AM UTC 2026
% Result : Theorem 37.75s 7.82s
% Output : CNFRefutation 37.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 92
% Syntax : Number of formulae : 2376 ( 579 unt; 0 typ; 0 def)
% Number of atoms : 22416 (7985 equ; 0 cnn)
% Maximal formula atoms : 7 ( 9 avg)
% Number of connectives : 38514 (7352 ~;7303 |; 54 &;23391 @)
% ( 0 <=>; 414 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 410 ( 410 >; 0 *; 0 +; 0 <<)
% Number of symbols : 122 ( 119 usr; 17 con; 0-6 aty)
% Number of variables : 7376 ( 48 ^;7310 !; 18 ?;7376 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_nat,type,
nat: $tType ).
thf(tp_poly_nat,type,
poly_nat: $tType ).
thf(tp_poly_poly_nat,type,
poly_poly_nat: $tType ).
thf(tp_poly_poly_poly_real,type,
poly_poly_poly_real: $tType ).
thf(tp_poly_poly_real,type,
poly_poly_real: $tType ).
thf(tp_poly_real,type,
poly_real: $tType ).
thf(tp_real,type,
real: $tType ).
thf(tp_set_real,type,
set_real: $tType ).
thf(tp_collect_real,type,
collect_real: ( real > $o ) > set_real ).
thf(tp_divide1142363123y_real,type,
divide1142363123y_real: poly_real > poly_poly_real > poly_poly_real > poly_poly_real > nat > nat > poly_poly_real ).
thf(tp_divide1561404011n_real,type,
divide1561404011n_real: real > poly_real > poly_real > poly_real > nat > nat > poly_real ).
thf(tp_divide924636027y_real,type,
divide924636027y_real: poly_poly_real > poly_poly_poly_real > poly_poly_poly_real > poly_poly_poly_real > nat > nat > poly_poly_poly_real ).
thf(tp_if_nat,type,
if_nat: $o > nat > nat > nat ).
thf(tp_if_real,type,
if_real: $o > real > real > real ).
thf(tp_is_zero_nat,type,
is_zero_nat: poly_nat > $o ).
thf(tp_is_zero_poly_real,type,
is_zero_poly_real: poly_poly_real > $o ).
thf(tp_is_zero_real,type,
is_zero_real: poly_real > $o ).
thf(tp_lb,type,
lb: real ).
thf(tp_lb1,type,
lb1: real ).
thf(tp_lb2,type,
lb2: real ).
thf(tp_member_real,type,
member_real: real > set_real > $o ).
thf(tp_ord_le1180086932y_real,type,
ord_le1180086932y_real: poly_real > poly_real > $o ).
thf(tp_ord_le38482960y_real,type,
ord_le38482960y_real: poly_poly_real > poly_poly_real > $o ).
thf(tp_ord_le893774876y_real,type,
ord_le893774876y_real: poly_poly_real > poly_poly_real > $o ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_ord_less_eq_real,type,
ord_less_eq_real: real > real > $o ).
thf(tp_ord_less_nat,type,
ord_less_nat: nat > nat > $o ).
thf(tp_ord_less_poly_real,type,
ord_less_poly_real: poly_real > poly_real > $o ).
thf(tp_ord_less_real,type,
ord_less_real: real > real > $o ).
thf(tp_ord_min_nat,type,
ord_min_nat: nat > nat > nat ).
thf(tp_ord_min_real,type,
ord_min_real: real > real > real ).
thf(tp_order_poly_poly_real,type,
order_poly_poly_real: poly_poly_real > poly_poly_poly_real > nat ).
thf(tp_order_poly_real,type,
order_poly_real: poly_real > poly_poly_real > nat ).
thf(tp_order_real,type,
order_real: real > poly_real > nat ).
thf(tp_p,type,
p: poly_real ).
thf(tp_poly_c1404107022y_real,type,
poly_c1404107022y_real: nat > poly_poly_real > poly_poly_real ).
thf(tp_poly_cutoff_nat,type,
poly_cutoff_nat: nat > poly_nat > poly_nat ).
thf(tp_poly_cutoff_real,type,
poly_cutoff_real: nat > poly_real > poly_real ).
thf(tp_poly_nat2,type,
poly_nat2: poly_nat > nat > nat ).
thf(tp_poly_poly_nat2,type,
poly_poly_nat2: poly_poly_nat > poly_nat > poly_nat ).
thf(tp_poly_poly_poly_real2,type,
poly_poly_poly_real2: poly_poly_poly_real > poly_poly_real > poly_poly_real ).
thf(tp_poly_poly_real2,type,
poly_poly_real2: poly_poly_real > poly_real > poly_real ).
thf(tp_poly_real2,type,
poly_real2: poly_real > real > real ).
thf(tp_poly_shift_nat,type,
poly_shift_nat: nat > poly_nat > poly_nat ).
thf(tp_poly_shift_poly_real,type,
poly_shift_poly_real: nat > poly_poly_real > poly_poly_real ).
thf(tp_poly_shift_real,type,
poly_shift_real: nat > poly_real > poly_real ).
thf(tp_reflec144234502y_real,type,
reflec144234502y_real: poly_poly_poly_real > poly_poly_poly_real ).
thf(tp_reflec1522834046y_real,type,
reflec1522834046y_real: poly_poly_real > poly_poly_real ).
thf(tp_reflec781175074ly_nat,type,
reflec781175074ly_nat: poly_poly_nat > poly_poly_nat ).
thf(tp_reflect_poly_nat,type,
reflect_poly_nat: poly_nat > poly_nat ).
thf(tp_reflect_poly_real,type,
reflect_poly_real: poly_real > poly_real ).
thf(tp_sK10_SY663,type,
sK10_SY663: ( real > real > $o ) > real > real > real ).
thf(tp_sK11_SY553,type,
sK11_SY553: poly_real > real > real ).
thf(tp_sK12_SV214,type,
sK12_SV214: poly_real > poly_real > real ).
thf(tp_sK13_SY569,type,
sK13_SY569: poly_real > real > real > real ).
thf(tp_sK14_SY585,type,
sK14_SY585: poly_real > real > real > real ).
thf(tp_sK15_SY515,type,
sK15_SY515: real > real > real ).
thf(tp_sK16_SY570,type,
sK16_SY570: poly_real > real > real > real ).
thf(tp_sK17_SY571,type,
sK17_SY571: poly_real > real > real > real ).
thf(tp_sK18_SY586,type,
sK18_SY586: poly_real > real > real > real ).
thf(tp_sK19_SY587,type,
sK19_SY587: poly_real > real > real > real ).
thf(tp_sK1_X3,type,
sK1_X3: real ).
thf(tp_sK20_SY451,type,
sK20_SY451: real > real > real > ( real > real ) > real ).
thf(tp_sK21_SY457,type,
sK21_SY457: real > real > nat > ( real > nat ) > real ).
thf(tp_sK22_SY461,type,
sK22_SY461: real > real > real > ( real > real ) > real ).
thf(tp_sK23_SY573,type,
sK23_SY573: real > real > real > ( real > real ) > real ).
thf(tp_sK24_SY475,type,
sK24_SY475: nat > nat > real > ( nat > real ) > nat ).
thf(tp_sK25_SY578,type,
sK25_SY578: poly_real > real > real > real ).
thf(tp_sK26_SY481,type,
sK26_SY481: real > real > nat > ( real > nat ) > real ).
thf(tp_sK27_SY583,type,
sK27_SY583: real > real > real > ( real > real ) > real ).
thf(tp_sK28_SY589,type,
sK28_SY589: nat > real > nat > ( nat > real ) > nat ).
thf(tp_sK29_SY592,type,
sK29_SY592: real > nat > real > ( real > nat ) > real ).
thf(tp_sK2_SX0,type,
sK2_SX0: real ).
thf(tp_sK30_SY507,type,
sK30_SY507: nat > nat > real > ( nat > real ) > nat ).
thf(tp_sK31_SY513,type,
sK31_SY513: nat > nat > real > ( nat > real ) > nat ).
thf(tp_sK32_SY601,type,
sK32_SY601: nat > real > nat > ( nat > real ) > nat ).
thf(tp_sK33_SY603,type,
sK33_SY603: poly_real > real > real > real ).
thf(tp_sK34_SY605,type,
sK34_SY605: real > nat > real > ( real > nat ) > real ).
thf(tp_sK35_SY409,type,
sK35_SY409: real > real > ( real > real > $o ) > real ).
thf(tp_sK36_SY613,type,
sK36_SY613: nat > real > nat > ( nat > real ) > nat ).
thf(tp_sK37_SY616,type,
sK37_SY616: real > real > real > ( real > real ) > real ).
thf(tp_sK38_SY546,type,
sK38_SY546: real > real > nat > ( real > nat ) > real ).
thf(tp_sK39_SY550,type,
sK39_SY550: real > real > real > ( real > real ) > real ).
thf(tp_sK3_SX0,type,
sK3_SX0: real ).
thf(tp_sK40_SY557,type,
sK40_SY557: nat > nat > real > ( nat > real ) > nat ).
thf(tp_sK41_SY666,type,
sK41_SY666: ( real > real ) > real > real > real > real ).
thf(tp_sK42_SY667,type,
sK42_SY667: ( real > nat ) > nat > real > real > real ).
thf(tp_sK43_SY668,type,
sK43_SY668: ( real > real ) > real > real > real > real ).
thf(tp_sK44_SY669,type,
sK44_SY669: ( real > real ) > real > real > real > real ).
thf(tp_sK45_SY670,type,
sK45_SY670: ( nat > real ) > real > nat > nat > nat ).
thf(tp_sK46_SY671,type,
sK46_SY671: ( real > nat ) > nat > real > real > real ).
thf(tp_sK47_SY672,type,
sK47_SY672: ( real > real ) > real > real > real > real ).
thf(tp_sK48_SY673,type,
sK48_SY673: ( nat > real ) > nat > real > nat > nat ).
thf(tp_sK49_SY674,type,
sK49_SY674: ( real > nat ) > real > nat > real > real ).
thf(tp_sK4_SY349,type,
sK4_SY349: real > real ).
thf(tp_sK50_SY675,type,
sK50_SY675: ( nat > real ) > real > nat > nat > nat ).
thf(tp_sK51_SY676,type,
sK51_SY676: ( nat > real ) > real > nat > nat > nat ).
thf(tp_sK52_SY677,type,
sK52_SY677: ( nat > real ) > nat > real > nat > nat ).
thf(tp_sK53_SY678,type,
sK53_SY678: ( real > nat ) > real > nat > real > real ).
thf(tp_sK54_SY409,type,
sK54_SY409: real > real > ( real > real > $o ) > real ).
thf(tp_sK55_SY679,type,
sK55_SY679: ( nat > real ) > nat > real > nat > nat ).
thf(tp_sK56_SY680,type,
sK56_SY680: ( real > real ) > real > real > real > real ).
thf(tp_sK57_SY681,type,
sK57_SY681: ( real > nat ) > nat > real > real > real ).
thf(tp_sK58_SY682,type,
sK58_SY682: ( real > real ) > real > real > real > real ).
thf(tp_sK59_SY683,type,
sK59_SY683: ( nat > real ) > real > nat > nat > nat ).
thf(tp_sK5_SY357,type,
sK5_SY357: real > real ).
thf(tp_sK60_SY410,type,
sK60_SY410: real > real > ( real > real > $o ) > real ).
thf(tp_sK61_SY410,type,
sK61_SY410: real > real > ( real > real > $o ) > real ).
thf(tp_sK62_SY684,type,
sK62_SY684: real > real > ( real > real > $o ) > real ).
thf(tp_sK63_SY685,type,
sK63_SY685: real > real > ( real > real > $o ) > real ).
thf(tp_sK6_SY266,type,
sK6_SY266: poly_real > real ).
thf(tp_sK7_SY516,type,
sK7_SY516: real > real > real ).
thf(tp_sK8_SY407,type,
sK8_SY407: real > real > ( real > real > $o ) > real ).
thf(tp_sK9_SY509,type,
sK9_SY509: poly_real > real > real ).
thf(tp_sgn_sg2128174761y_real,type,
sgn_sg2128174761y_real: poly_poly_real > poly_poly_real ).
thf(tp_sgn_sgn_poly_real,type,
sgn_sgn_poly_real: poly_real > poly_real ).
thf(tp_sgn_sgn_real,type,
sgn_sgn_real: real > real ).
thf(tp_sturm_1076696862f_real,type,
sturm_1076696862f_real: poly_real > real ).
thf(tp_sturm_1308388506f_real,type,
sturm_1308388506f_real: poly_real > real ).
thf(tp_thesis,type,
thesis: $o ).
thf(tp_zero_z1059985641ly_nat,type,
zero_z1059985641ly_nat: poly_poly_nat ).
thf(tp_zero_z1423781445y_real,type,
zero_z1423781445y_real: poly_poly_real ).
thf(tp_zero_z935034829y_real,type,
zero_z935034829y_real: poly_poly_poly_real ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(tp_zero_zero_poly_nat,type,
zero_zero_poly_nat: poly_nat ).
thf(tp_zero_zero_poly_real,type,
zero_zero_poly_real: poly_real ).
thf(tp_zero_zero_real,type,
zero_zero_real: real ).
thf(3,axiom,
! [P3: $o] :
( ( P3 = $true )
| ( P3 = $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Real__Oreal_T) ).
thf(7,axiom,
! [A: real,F: nat > real,B: nat,C: nat] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_eq_nat @ X3 @ Y2 )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_343_order__less__le__subst1) ).
thf(10,axiom,
! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_eq_nat @ X3 @ Y2 )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_340_order__le__less__subst2) ).
thf(12,axiom,
! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_eq_real @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_eq_real @ X3 @ Y2 )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_338_order__le__less__subst2) ).
thf(14,axiom,
! [A: nat,F: real > nat,B: real,C: real] :
( ( ord_less_eq_nat @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_336_order__le__less__subst1) ).
thf(15,axiom,
! [A: real,F: nat > real,B: nat,C: nat] :
( ( ord_less_eq_real @ A @ ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_335_order__le__less__subst1) ).
thf(16,axiom,
! [A: real,F: real > real,B: real,C: real] :
( ( ord_less_eq_real @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_334_order__le__less__subst1) ).
thf(18,axiom,
( ord_less_real
= ( ^ [X4: real,Y3: real] :
( ( ord_less_eq_real @ X4 @ Y3 )
& ( X4 != Y3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_332_less__le) ).
thf(20,axiom,
( ord_less_eq_real
= ( ^ [X4: real,Y3: real] :
( ( ord_less_real @ X4 @ Y3 )
| ( X4 = Y3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_330_le__less) ).
thf(22,axiom,
! [X2: real,Y: real] :
( ~ ( ord_less_real @ X2 @ Y )
=> ( ord_less_eq_real @ Y @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_328_leI) ).
thf(24,axiom,
! [Y: real,X2: real] :
( ( ord_less_eq_real @ Y @ X2 )
=> ~ ( ord_less_real @ X2 @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_326_leD) ).
thf(26,axiom,
! [B: real,A: real] :
( ( ord_less_real @ B @ A )
=> ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_dual__order_Ostrict__implies__not__eq) ).
thf(28,axiom,
! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_order_Ostrict__implies__not__eq) ).
thf(30,axiom,
! [X2: real,Y: real] :
( ( ~ ( ord_less_real @ X2 @ Y ) )
= ( ( ord_less_real @ Y @ X2 )
| ( X2 = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_320_not__less__iff__gr__or__eq) ).
thf(32,axiom,
! [B: real,A: real,C: real] :
( ( ord_less_real @ B @ A )
=> ( ( ord_less_real @ C @ B )
=> ( ord_less_real @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_318_dual__order_Ostrict__trans) ).
thf(34,axiom,
! [P3: real > real > $o,A: real,B: real] :
( ! [A4: real,B3: real] :
( ( ord_less_real @ A4 @ B3 )
=> ( P3 @ A4 @ B3 ) )
=> ( ! [A4: real] : ( P3 @ A4 @ A4 )
=> ( ! [A4: real,B3: real] :
( ( P3 @ B3 @ A4 )
=> ( P3 @ A4 @ B3 ) )
=> ( P3 @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_316_linorder__less__wlog) ).
thf(37,axiom,
! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ~ ( ord_less_real @ Y @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_less__imp__not__less) ).
thf(39,axiom,
! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ B @ C )
=> ( ord_less_real @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_order_Ostrict__trans) ).
thf(41,axiom,
! [A: real] :
~ ( ord_less_real @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_dual__order_Oirrefl) ).
thf(43,axiom,
! [X2: real,Y: real] :
( ~ ( ord_less_real @ X2 @ Y )
=> ( ( X2 != Y )
=> ( ord_less_real @ Y @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307_linorder__cases) ).
thf(45,axiom,
! [X2: real,Y: real,P3: $o] :
( ( ord_less_real @ X2 @ Y )
=> ( ( ord_less_real @ Y @ X2 )
=> P3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_305_less__imp__triv) ).
thf(47,axiom,
! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( Y != X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_303_less__imp__not__eq2) ).
thf(49,axiom,
! [Y: real,X2: real] :
( ~ ( ord_less_real @ Y @ X2 )
=> ( ( ~ ( ord_less_real @ X2 @ Y ) )
= ( X2 = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_301_antisym__conv3) ).
thf(52,axiom,
! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ~ ( ord_less_real @ Y @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_less__not__sym) ).
thf(54,axiom,
! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( X2 != Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_296_less__imp__not__eq) ).
thf(56,axiom,
! [B: real,A: real] :
( ( ord_less_real @ B @ A )
=> ~ ( ord_less_real @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_dual__order_Oasym) ).
thf(58,axiom,
! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( B = C )
=> ( ord_less_real @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_292_ord__less__eq__trans) ).
thf(60,axiom,
! [A: real,B: real,C: real] :
( ( A = B )
=> ( ( ord_less_real @ B @ C )
=> ( ord_less_real @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_290_ord__eq__less__trans) ).
thf(62,axiom,
! [X2: real] :
~ ( ord_less_real @ X2 @ X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_less__irrefl) ).
thf(64,axiom,
! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
| ( X2 = Y )
| ( ord_less_real @ Y @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_286_less__linear) ).
thf(66,axiom,
! [X2: real,Y: real,Z: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ( ord_less_real @ Y @ Z )
=> ( ord_less_real @ X2 @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_less__trans) ).
thf(68,axiom,
! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_282_less__asym_H) ).
thf(70,axiom,
! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ~ ( ord_less_real @ Y @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_less__asym) ).
thf(72,axiom,
! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( X2 != Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_278_less__imp__neq) ).
thf(73,axiom,
! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ? [Z5: real] :
( ( ord_less_real @ X2 @ Z5 )
& ( ord_less_real @ Z5 @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_277_dense) ).
thf(75,axiom,
! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_275_order_Oasym) ).
thf(77,axiom,
! [X2: real,Y: real] :
( ( X2 != Y )
= ( ( ord_less_real @ X2 @ Y )
| ( ord_less_real @ Y @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_neq__iff) ).
thf(79,axiom,
! [X2: real,Y: real] :
( ( X2 != Y )
=> ( ~ ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ Y @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_271_neqE) ).
thf(81,axiom,
! [X2: real] :
? [X_1: real] : ( ord_less_real @ X2 @ X_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_269_gt__ex) ).
thf(82,axiom,
! [X2: real] :
? [Y2: real] : ( ord_less_real @ Y2 @ X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_268_lt__ex) ).
thf(84,axiom,
! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_nat @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_266_order__less__subst2) ).
thf(85,axiom,
! [A: real,B: real,F: real > nat,C: nat] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_nat @ ( F @ B ) @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_265_order__less__subst2) ).
thf(86,axiom,
! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_order__less__subst2) ).
thf(88,axiom,
! [A: nat,F: real > nat,B: real,C: real] :
( ( ord_less_nat @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_262_order__less__subst1) ).
thf(89,axiom,
! [A: real,F: nat > real,B: nat,C: nat] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_order__less__subst1) ).
thf(90,axiom,
! [A: real,F: real > real,B: real,C: real] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_260_order__less__subst1) ).
thf(92,axiom,
! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_nat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_258_ord__less__eq__subst) ).
thf(93,axiom,
! [A: real,B: real,F: real > nat,C: nat] :
( ( ord_less_real @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_257_ord__less__eq__subst) ).
thf(94,axiom,
! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_256_ord__less__eq__subst) ).
thf(96,axiom,
! [A: real,F: nat > real,B: nat,C: nat] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_254_ord__eq__less__subst) ).
thf(97,axiom,
! [A: nat,F: real > nat,B: real,C: real] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_253_ord__eq__less__subst) ).
thf(98,axiom,
! [A: real,F: real > real,B: real,C: real] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_252_ord__eq__less__subst) ).
thf(199,axiom,
! [X2: real] :
( ( ( sgn_sgn_real @ X2 )
= zero_zero_real )
= ( X2 = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_sgn__zero__iff) ).
thf(202,axiom,
! [A: real] :
( ( ( sgn_sgn_real @ A )
= zero_zero_real )
= ( A = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_148_sgn__0__0) ).
thf(205,axiom,
! [A: real] :
( ( ( sgn_sgn_real @ A )
= zero_zero_real )
= ( A = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_sgn__eq__0__iff) ).
thf(206,axiom,
! [X2: real,Y: real] :
( ( X2 != Y )
=> ( ~ ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ Y @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_linorder__neqE__linordered__idom) ).
thf(208,axiom,
( ( sgn_sgn_real @ zero_zero_real )
= zero_zero_real ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_142_sgn__zero) ).
thf(211,axiom,
( ( sgn_sgn_real @ zero_zero_real )
= zero_zero_real ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_139_sgn__0) ).
thf(213,axiom,
! [A: real] :
( ( ord_less_real @ ( sgn_sgn_real @ A ) @ zero_zero_real )
= ( ord_less_real @ A @ zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_sgn__less) ).
thf(216,axiom,
! [A: real] :
( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ A ) )
= ( ord_less_real @ zero_zero_real @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_sgn__greater) ).
thf(219,axiom,
! [X2: real] :
( ( ord_less_eq_real @ ( sgn_sgn_real @ X2 ) @ zero_zero_real )
= ( ord_less_eq_real @ X2 @ zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_sgn__le__0__iff) ).
thf(220,axiom,
! [X2: real] :
( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ X2 ) )
= ( ord_less_eq_real @ zero_zero_real @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_zero__le__sgn__iff) ).
thf(221,axiom,
! [Lb2: real,Ub: real,P: poly_real] :
( ( ! [Z3: real] :
( ( ( ord_less_eq_real @ Lb2 @ Z3 )
& ( ord_less_real @ Z3 @ Ub ) )
=> ( ( poly_real2 @ P @ Z3 )
!= zero_zero_real ) ) )
= ( ! [Z3: real] :
( ( ( ord_less_eq_real @ Lb2 @ Z3 )
& ( ord_less_real @ Z3 @ Ub ) )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ Z3 ) ) )
| ! [Z3: real] :
( ( ( ord_less_eq_real @ Lb2 @ Z3 )
& ( ord_less_real @ Z3 @ Ub ) )
=> ( ord_less_real @ ( poly_real2 @ P @ Z3 ) @ zero_zero_real ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_not__eq__pos__or__neg__iff__2) ).
thf(224,axiom,
! [P: poly_real,A: real] :
( ( ( poly_real2 @ P @ A )
!= zero_zero_real )
=> ( ( order_real @ A @ P )
= zero_zero_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_order__0I) ).
thf(255,axiom,
( ord_less_eq_real
= ( ^ [X4: real,Y3: real] :
( ( ord_less_real @ X4 @ Y3 )
| ( X4 = Y3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_less__eq__real__def) ).
thf(257,axiom,
ord_less_eq_real @ zero_zero_real @ zero_zero_real,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_le__numeral__extra_I3_J) ).
thf(271,axiom,
~ ! [Lb22: real] :
~ ! [X: real] :
( ( ord_less_eq_real @ X @ Lb22 )
=> ( ( sgn_sgn_real @ ( poly_real2 @ p @ X ) )
= ( sturm_1076696862f_real @ p ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lb2_O_A_092_060forall_062x_092_060le_062lb2_O_Asgn_A_Ipoly_Ap_Ax_J_A_061_Asgn__neg__inf_Ap_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062) ).
thf(272,axiom,
! [Lb2: real,Ub: real,P: poly_real] :
( ( ! [Z3: real] :
( ( ( ord_less_real @ Lb2 @ Z3 )
& ( ord_less_eq_real @ Z3 @ Ub ) )
=> ( ( poly_real2 @ P @ Z3 )
!= zero_zero_real ) ) )
= ( ! [Z3: real] :
( ( ( ord_less_real @ Lb2 @ Z3 )
& ( ord_less_eq_real @ Z3 @ Ub ) )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ Z3 ) ) )
| ! [Z3: real] :
( ( ( ord_less_real @ Lb2 @ Z3 )
& ( ord_less_eq_real @ Z3 @ Ub ) )
=> ( ord_less_real @ ( poly_real2 @ P @ Z3 ) @ zero_zero_real ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_not__eq__pos__or__neg__iff__1) ).
thf(275,axiom,
! [R: poly_real,D: poly_real,Dr: nat,N: nat] :
( ( divide1561404011n_real @ zero_zero_real @ zero_zero_poly_real @ R @ D @ Dr @ N )
= zero_zero_poly_real ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_divide__poly__main__0) ).
thf(278,axiom,
! [P: poly_real,A: real] :
( ( ( poly_real2 @ P @ A )
= zero_zero_real )
= ( ( P = zero_zero_poly_real )
| ( ( order_real @ A @ P )
!= zero_zero_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_order__root) ).
thf(287,axiom,
! [P: poly_real] :
( ( ( poly_real2 @ ( reflect_poly_real @ P ) @ zero_zero_real )
= zero_zero_real )
= ( P = zero_zero_poly_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_reflect__poly__at__0__eq__0__iff) ).
thf(288,axiom,
! [P: poly_real,Lb2: real] :
( ( P != zero_zero_poly_real )
=> ~ ! [Ub2: real] :
( ( ord_less_real @ Lb2 @ Ub2 )
=> ~ ! [Z2: real] :
( ( ( ord_less_real @ Lb2 @ Z2 )
& ( ord_less_eq_real @ Z2 @ Ub2 ) )
=> ( ( poly_real2 @ P @ Z2 )
!= zero_zero_real ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_next__non__root__interval) ).
thf(289,axiom,
! [P: poly_real,Ub: real] :
( ( P != zero_zero_poly_real )
=> ~ ! [Lb: real] :
( ( ord_less_real @ Lb @ Ub )
=> ~ ! [Z2: real] :
( ( ( ord_less_eq_real @ Lb @ Z2 )
& ( ord_less_real @ Z2 @ Ub ) )
=> ( ( poly_real2 @ P @ Z2 )
!= zero_zero_real ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_last__non__root__interval) ).
thf(303,axiom,
! [X2: real,Y: real,Z: real] :
( ( ord_less_real @ ( ord_min_real @ X2 @ Y ) @ Z )
= ( ( ord_less_real @ X2 @ Z )
| ( ord_less_real @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_min__less__iff__disj) ).
thf(305,axiom,
! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ ( ord_min_real @ B @ C ) )
=> ~ ( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_min_Ostrict__boundedE) ).
thf(307,axiom,
( ord_less_real
= ( ^ [A2: real,B2: real] :
( ( A2
= ( ord_min_real @ A2 @ B2 ) )
& ( A2 != B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_min_Ostrict__order__iff) ).
thf(309,axiom,
! [A: real,C: real,B: real] :
( ( ord_less_real @ A @ C )
=> ( ord_less_real @ ( ord_min_real @ A @ B ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_min_Ostrict__coboundedI1) ).
thf(311,axiom,
! [B: real,C: real,A: real] :
( ( ord_less_real @ B @ C )
=> ( ord_less_real @ ( ord_min_real @ A @ B ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_min_Ostrict__coboundedI2) ).
thf(319,axiom,
! [Z: real,X2: real,Y: real] :
( ( ord_less_real @ Z @ ( ord_min_real @ X2 @ Y ) )
= ( ( ord_less_real @ Z @ X2 )
& ( ord_less_real @ Z @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_min__less__iff__conj) ).
thf(321,axiom,
! [P: poly_real,Q: poly_real] :
( ( ( poly_real2 @ P )
= ( poly_real2 @ Q ) )
= ( P = Q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_poly__eq__poly__eq__iff) ).
thf(326,axiom,
! [X2: real] :
( ( zero_zero_real = X2 )
= ( X2 = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_zero__reorient) ).
thf(331,axiom,
! [D1: real,D2: real] :
( ( ord_less_real @ zero_zero_real @ D1 )
=> ( ( ord_less_real @ zero_zero_real @ D2 )
=> ? [E: real] :
( ( ord_less_real @ zero_zero_real @ E )
& ( ord_less_real @ E @ D1 )
& ( ord_less_real @ E @ D2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_field__lbound__gt__zero) ).
thf(333,axiom,
~ ( ord_less_real @ zero_zero_real @ zero_zero_real ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_less__numeral__extra_I3_J) ).
thf(337,axiom,
! [P: poly_real] :
( ( ! [X4: real] :
( ( poly_real2 @ P @ X4 )
= zero_zero_real ) )
= ( P = zero_zero_poly_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_poly__all__0__iff__0) ).
thf(339,axiom,
! [A: real,B: real,P: poly_real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ ( poly_real2 @ P @ A ) @ zero_zero_real )
=> ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ B ) )
=> ? [X3: real] :
( ( ord_less_real @ A @ X3 )
& ( ord_less_real @ X3 @ B )
& ( ( poly_real2 @ P @ X3 )
= zero_zero_real ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_poly__IVT__pos) ).
thf(340,axiom,
! [A: real,B: real,P: poly_real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ A ) )
=> ( ( ord_less_real @ ( poly_real2 @ P @ B ) @ zero_zero_real )
=> ? [X3: real] :
( ( ord_less_real @ A @ X3 )
& ( ord_less_real @ X3 @ B )
& ( ( poly_real2 @ P @ X3 )
= zero_zero_real ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_poly__IVT__neg) ).
thf(342,axiom,
! [X2: real] :
( ( poly_real2 @ zero_zero_poly_real @ X2 )
= zero_zero_real ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_poly__0) ).
thf(347,axiom,
p != zero_zero_poly_real,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_assms) ).
thf(348,axiom,
~ ! [Lb1: real] :
~ ! [X: real] :
( ( ( poly_real2 @ p @ X )
= zero_zero_real )
=> ( ord_less_real @ Lb1 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lb1_O_A_092_060forall_062x_O_Apoly_Ap_Ax_A_061_A0_A_092_060longrightarrow_062_Alb1_A_060_Ax_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062) ).
thf(349,axiom,
( lb
= ( ord_min_real @ lb1 @ lb2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_lb__def) ).
thf(350,axiom,
! [X: real] :
( ( ( poly_real2 @ p @ X )
= zero_zero_real )
=> ( ord_less_real @ lb1 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_lb1) ).
thf(351,conjecture,
! [X3: real] :
( ( ( poly_real2 @ p @ X3 )
!= zero_zero_real )
| ( ord_less_real @ lb @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(352,negated_conjecture,
( ( ! [X3: real] :
( ( ( poly_real2 @ p @ X3 )
!= zero_zero_real )
| ( ord_less_real @ lb @ X3 ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[351]) ).
thf(353,plain,
( ( ! [X3: real] :
( ( ( poly_real2 @ p @ X3 )
!= zero_zero_real )
| ( ord_less_real @ lb @ X3 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[352]) ).
thf(354,plain,
( ( ! [P3: $o] :
( ( P3 = $true )
| ( P3 = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(355,plain,
( ( ! [A: real,F: nat > real,B: nat,C: nat] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_eq_nat @ X3 @ Y2 )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(356,plain,
( ( ! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_eq_nat @ X3 @ Y2 )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(357,plain,
( ( ! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_eq_real @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_eq_real @ X3 @ Y2 )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(358,plain,
( ( ! [A: nat,F: real > nat,B: real,C: real] :
( ( ord_less_eq_nat @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(359,plain,
( ( ! [A: real,F: nat > real,B: nat,C: nat] :
( ( ord_less_eq_real @ A @ ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(360,plain,
( ( ! [A: real,F: real > real,B: real,C: real] :
( ( ord_less_eq_real @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(361,plain,
( ( ord_less_real
= ( ^ [X4: real,Y3: real] :
( ( ord_less_eq_real @ X4 @ Y3 )
& ( X4 != Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(362,plain,
( ( ord_less_eq_real
= ( ^ [X4: real,Y3: real] :
( ( ord_less_real @ X4 @ Y3 )
| ( X4 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(363,plain,
( ( ! [X2: real,Y: real] :
( ~ ( ord_less_real @ X2 @ Y )
=> ( ord_less_eq_real @ Y @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(364,plain,
( ( ! [Y: real,X2: real] :
( ( ord_less_eq_real @ Y @ X2 )
=> ~ ( ord_less_real @ X2 @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(365,plain,
( ( ! [B: real,A: real] :
( ( ord_less_real @ B @ A )
=> ( A != B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(366,plain,
( ( ! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ( A != B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(367,plain,
( ( ! [X2: real,Y: real] :
( ( ~ ( ord_less_real @ X2 @ Y ) )
= ( ( ord_less_real @ Y @ X2 )
| ( X2 = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(368,plain,
( ( ! [B: real,A: real,C: real] :
( ( ord_less_real @ B @ A )
=> ( ( ord_less_real @ C @ B )
=> ( ord_less_real @ C @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(369,plain,
( ( ! [P3: real > real > $o,A: real,B: real] :
( ! [A4: real,B3: real] :
( ( ord_less_real @ A4 @ B3 )
=> ( P3 @ A4 @ B3 ) )
=> ( ! [A4: real] : ( P3 @ A4 @ A4 )
=> ( ! [A4: real,B3: real] :
( ( P3 @ B3 @ A4 )
=> ( P3 @ A4 @ B3 ) )
=> ( P3 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(370,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ~ ( ord_less_real @ Y @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(371,plain,
( ( ! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ B @ C )
=> ( ord_less_real @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(372,plain,
( ( ! [A: real] :
~ ( ord_less_real @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(373,plain,
( ( ! [X2: real,Y: real] :
( ~ ( ord_less_real @ X2 @ Y )
=> ( ( X2 != Y )
=> ( ord_less_real @ Y @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(374,plain,
( ( ! [X2: real,Y: real,P3: $o] :
( ( ord_less_real @ X2 @ Y )
=> ( ( ord_less_real @ Y @ X2 )
=> P3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(375,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( Y != X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(376,plain,
( ( ! [Y: real,X2: real] :
( ~ ( ord_less_real @ Y @ X2 )
=> ( ( ~ ( ord_less_real @ X2 @ Y ) )
= ( X2 = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(377,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ~ ( ord_less_real @ Y @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(378,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( X2 != Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(379,plain,
( ( ! [B: real,A: real] :
( ( ord_less_real @ B @ A )
=> ~ ( ord_less_real @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(380,plain,
( ( ! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( B = C )
=> ( ord_less_real @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(381,plain,
( ( ! [A: real,B: real,C: real] :
( ( A = B )
=> ( ( ord_less_real @ B @ C )
=> ( ord_less_real @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(382,plain,
( ( ! [X2: real] :
~ ( ord_less_real @ X2 @ X2 ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(383,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
| ( X2 = Y )
| ( ord_less_real @ Y @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(384,plain,
( ( ! [X2: real,Y: real,Z: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ( ord_less_real @ Y @ Z )
=> ( ord_less_real @ X2 @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(385,plain,
( ( ! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(386,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ~ ( ord_less_real @ Y @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(387,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( X2 != Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(388,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ? [Z5: real] :
( ( ord_less_real @ X2 @ Z5 )
& ( ord_less_real @ Z5 @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(389,plain,
( ( ! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(390,plain,
( ( ! [X2: real,Y: real] :
( ( X2 != Y )
= ( ( ord_less_real @ X2 @ Y )
| ( ord_less_real @ Y @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(391,plain,
( ( ! [X2: real,Y: real] :
( ( X2 != Y )
=> ( ~ ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ Y @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(392,plain,
( ( ! [X2: real] :
? [X_1: real] : ( ord_less_real @ X2 @ X_1 ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(393,plain,
( ( ! [X2: real] :
? [Y2: real] : ( ord_less_real @ Y2 @ X2 ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(394,plain,
( ( ! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_nat @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(395,plain,
( ( ! [A: real,B: real,F: real > nat,C: nat] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_nat @ ( F @ B ) @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(396,plain,
( ( ! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(397,plain,
( ( ! [A: nat,F: real > nat,B: real,C: real] :
( ( ord_less_nat @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(398,plain,
( ( ! [A: real,F: nat > real,B: nat,C: nat] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(399,plain,
( ( ! [A: real,F: real > real,B: real,C: real] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(400,plain,
( ( ! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_nat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(401,plain,
( ( ! [A: real,B: real,F: real > nat,C: nat] :
( ( ord_less_real @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(402,plain,
( ( ! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(403,plain,
( ( ! [A: real,F: nat > real,B: nat,C: nat] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(404,plain,
( ( ! [A: nat,F: real > nat,B: real,C: real] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(405,plain,
( ( ! [A: real,F: real > real,B: real,C: real] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(406,plain,
( ( ! [X2: real] :
( ( ( sgn_sgn_real @ X2 )
= zero_zero_real )
= ( X2 = zero_zero_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(407,plain,
( ( ! [A: real] :
( ( ( sgn_sgn_real @ A )
= zero_zero_real )
= ( A = zero_zero_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(408,plain,
( ( ! [A: real] :
( ( ( sgn_sgn_real @ A )
= zero_zero_real )
= ( A = zero_zero_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(409,plain,
( ( ! [X2: real,Y: real] :
( ( X2 != Y )
=> ( ~ ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ Y @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(410,plain,
( ( ( sgn_sgn_real @ zero_zero_real )
= zero_zero_real )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(411,plain,
( ( ( sgn_sgn_real @ zero_zero_real )
= zero_zero_real )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(412,plain,
( ( ! [A: real] :
( ( ord_less_real @ ( sgn_sgn_real @ A ) @ zero_zero_real )
= ( ord_less_real @ A @ zero_zero_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(413,plain,
( ( ! [A: real] :
( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ A ) )
= ( ord_less_real @ zero_zero_real @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[216]) ).
thf(414,plain,
( ( ! [X2: real] :
( ( ord_less_eq_real @ ( sgn_sgn_real @ X2 ) @ zero_zero_real )
= ( ord_less_eq_real @ X2 @ zero_zero_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[219]) ).
thf(415,plain,
( ( ! [X2: real] :
( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ X2 ) )
= ( ord_less_eq_real @ zero_zero_real @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[220]) ).
thf(416,plain,
( ( ! [Lb2: real,Ub: real,P: poly_real] :
( ( ! [Z3: real] :
( ( ( ord_less_eq_real @ Lb2 @ Z3 )
& ( ord_less_real @ Z3 @ Ub ) )
=> ( ( poly_real2 @ P @ Z3 )
!= zero_zero_real ) ) )
= ( ! [Z3: real] :
( ( ( ord_less_eq_real @ Lb2 @ Z3 )
& ( ord_less_real @ Z3 @ Ub ) )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ Z3 ) ) )
| ! [Z3: real] :
( ( ( ord_less_eq_real @ Lb2 @ Z3 )
& ( ord_less_real @ Z3 @ Ub ) )
=> ( ord_less_real @ ( poly_real2 @ P @ Z3 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(417,plain,
( ( ! [P: poly_real,A: real] :
( ( ( poly_real2 @ P @ A )
!= zero_zero_real )
=> ( ( order_real @ A @ P )
= zero_zero_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(418,plain,
( ( ord_less_eq_real
= ( ^ [X4: real,Y3: real] :
( ( ord_less_real @ X4 @ Y3 )
| ( X4 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(419,plain,
( ( ord_less_eq_real @ zero_zero_real @ zero_zero_real )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(420,plain,
( ( ~ ! [Lb22: real] :
~ ! [X: real] :
( ( ord_less_eq_real @ X @ Lb22 )
=> ( ( sgn_sgn_real @ ( poly_real2 @ p @ X ) )
= ( sturm_1076696862f_real @ p ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(421,plain,
( ( ! [Lb2: real,Ub: real,P: poly_real] :
( ( ! [Z3: real] :
( ( ( ord_less_real @ Lb2 @ Z3 )
& ( ord_less_eq_real @ Z3 @ Ub ) )
=> ( ( poly_real2 @ P @ Z3 )
!= zero_zero_real ) ) )
= ( ! [Z3: real] :
( ( ( ord_less_real @ Lb2 @ Z3 )
& ( ord_less_eq_real @ Z3 @ Ub ) )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ Z3 ) ) )
| ! [Z3: real] :
( ( ( ord_less_real @ Lb2 @ Z3 )
& ( ord_less_eq_real @ Z3 @ Ub ) )
=> ( ord_less_real @ ( poly_real2 @ P @ Z3 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(422,plain,
( ( ! [R: poly_real,D: poly_real,Dr: nat,N: nat] :
( ( divide1561404011n_real @ zero_zero_real @ zero_zero_poly_real @ R @ D @ Dr @ N )
= zero_zero_poly_real ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(423,plain,
( ( ! [P: poly_real,A: real] :
( ( ( poly_real2 @ P @ A )
= zero_zero_real )
= ( ( P = zero_zero_poly_real )
| ( ( order_real @ A @ P )
!= zero_zero_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(424,plain,
( ( ! [P: poly_real] :
( ( ( poly_real2 @ ( reflect_poly_real @ P ) @ zero_zero_real )
= zero_zero_real )
= ( P = zero_zero_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(425,plain,
( ( ! [P: poly_real,Lb2: real] :
( ( P != zero_zero_poly_real )
=> ~ ! [Ub2: real] :
( ( ord_less_real @ Lb2 @ Ub2 )
=> ~ ! [Z2: real] :
( ( ( ord_less_real @ Lb2 @ Z2 )
& ( ord_less_eq_real @ Z2 @ Ub2 ) )
=> ( ( poly_real2 @ P @ Z2 )
!= zero_zero_real ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(426,plain,
( ( ! [P: poly_real,Ub: real] :
( ( P != zero_zero_poly_real )
=> ~ ! [Lb: real] :
( ( ord_less_real @ Lb @ Ub )
=> ~ ! [Z2: real] :
( ( ( ord_less_eq_real @ Lb @ Z2 )
& ( ord_less_real @ Z2 @ Ub ) )
=> ( ( poly_real2 @ P @ Z2 )
!= zero_zero_real ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(427,plain,
( ( ! [X2: real,Y: real,Z: real] :
( ( ord_less_real @ ( ord_min_real @ X2 @ Y ) @ Z )
= ( ( ord_less_real @ X2 @ Z )
| ( ord_less_real @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(428,plain,
( ( ! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ ( ord_min_real @ B @ C ) )
=> ~ ( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(429,plain,
( ( ord_less_real
= ( ^ [A2: real,B2: real] :
( ( A2
= ( ord_min_real @ A2 @ B2 ) )
& ( A2 != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(430,plain,
( ( ! [A: real,C: real,B: real] :
( ( ord_less_real @ A @ C )
=> ( ord_less_real @ ( ord_min_real @ A @ B ) @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(431,plain,
( ( ! [B: real,C: real,A: real] :
( ( ord_less_real @ B @ C )
=> ( ord_less_real @ ( ord_min_real @ A @ B ) @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(432,plain,
( ( ! [Z: real,X2: real,Y: real] :
( ( ord_less_real @ Z @ ( ord_min_real @ X2 @ Y ) )
= ( ( ord_less_real @ Z @ X2 )
& ( ord_less_real @ Z @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(433,plain,
( ( ! [P: poly_real,Q: poly_real] :
( ( ( poly_real2 @ P )
= ( poly_real2 @ Q ) )
= ( P = Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(434,plain,
( ( ! [X2: real] :
( ( zero_zero_real = X2 )
= ( X2 = zero_zero_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(435,plain,
( ( ! [D1: real,D2: real] :
( ( ord_less_real @ zero_zero_real @ D1 )
=> ( ( ord_less_real @ zero_zero_real @ D2 )
=> ? [E: real] :
( ( ord_less_real @ zero_zero_real @ E )
& ( ord_less_real @ E @ D1 )
& ( ord_less_real @ E @ D2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(436,plain,
( ( ~ ( ord_less_real @ zero_zero_real @ zero_zero_real ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(437,plain,
( ( ! [P: poly_real] :
( ( ! [X4: real] :
( ( poly_real2 @ P @ X4 )
= zero_zero_real ) )
= ( P = zero_zero_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(438,plain,
( ( ! [A: real,B: real,P: poly_real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ ( poly_real2 @ P @ A ) @ zero_zero_real )
=> ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ B ) )
=> ? [X3: real] :
( ( ord_less_real @ A @ X3 )
& ( ord_less_real @ X3 @ B )
& ( ( poly_real2 @ P @ X3 )
= zero_zero_real ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(439,plain,
( ( ! [A: real,B: real,P: poly_real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ A ) )
=> ( ( ord_less_real @ ( poly_real2 @ P @ B ) @ zero_zero_real )
=> ? [X3: real] :
( ( ord_less_real @ A @ X3 )
& ( ord_less_real @ X3 @ B )
& ( ( poly_real2 @ P @ X3 )
= zero_zero_real ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(440,plain,
( ( ! [X2: real] :
( ( poly_real2 @ zero_zero_poly_real @ X2 )
= zero_zero_real ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(441,plain,
( ( p != zero_zero_poly_real )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(442,plain,
( ( ~ ! [Lb1: real] :
~ ! [X: real] :
( ( ( poly_real2 @ p @ X )
= zero_zero_real )
=> ( ord_less_real @ Lb1 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(443,plain,
( ( lb
= ( ord_min_real @ lb1 @ lb2 ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(444,plain,
( ( ! [X: real] :
( ( ( poly_real2 @ p @ X )
= zero_zero_real )
=> ( ord_less_real @ lb1 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(445,plain,
( ( ( ( poly_real2 @ p @ sK1_X3 )
!= zero_zero_real )
| ( ord_less_real @ lb @ sK1_X3 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[353]) ).
thf(446,plain,
( ( ~ ( ( ( poly_real2 @ p @ sK1_X3 )
!= zero_zero_real )
| ( ord_less_real @ lb @ sK1_X3 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[445]) ).
thf(447,plain,
( ( ! [X: real] :
( ( ( poly_real2 @ p @ X )
= zero_zero_real )
=> ( ord_less_real @ lb1 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(448,plain,
( ( lb
= ( ord_min_real @ lb1 @ lb2 ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(449,plain,
( ( ~ ! [Lb1: real] :
~ ! [X: real] :
( ( ( poly_real2 @ p @ X )
= zero_zero_real )
=> ( ord_less_real @ Lb1 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(450,plain,
( ( p != zero_zero_poly_real )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(451,plain,
( ( ! [X2: real] :
( ( poly_real2 @ zero_zero_poly_real @ X2 )
= zero_zero_real ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(452,plain,
( ( ! [A: real,B: real,P: poly_real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ A ) )
=> ( ( ord_less_real @ ( poly_real2 @ P @ B ) @ zero_zero_real )
=> ? [X3: real] :
( ( ord_less_real @ A @ X3 )
& ( ord_less_real @ X3 @ B )
& ( ( poly_real2 @ P @ X3 )
= zero_zero_real ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(453,plain,
( ( ! [A: real,B: real,P: poly_real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ ( poly_real2 @ P @ A ) @ zero_zero_real )
=> ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ B ) )
=> ? [X3: real] :
( ( ord_less_real @ A @ X3 )
& ( ord_less_real @ X3 @ B )
& ( ( poly_real2 @ P @ X3 )
= zero_zero_real ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(454,plain,
( ( ! [P: poly_real] :
( ( ! [X4: real] :
( ( poly_real2 @ P @ X4 )
= zero_zero_real ) )
= ( P = zero_zero_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(455,plain,
( ( ~ ( ord_less_real @ zero_zero_real @ zero_zero_real ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(456,plain,
( ( ! [D1: real,D2: real] :
( ( ord_less_real @ zero_zero_real @ D1 )
=> ( ( ord_less_real @ zero_zero_real @ D2 )
=> ? [E: real] :
( ( ord_less_real @ zero_zero_real @ E )
& ( ord_less_real @ E @ D1 )
& ( ord_less_real @ E @ D2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(457,plain,
( ( ! [X2: real] :
( ( zero_zero_real = X2 )
= ( X2 = zero_zero_real ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(458,plain,
( ( ! [P: poly_real,Q: poly_real] :
( ( ( poly_real2 @ P )
= ( poly_real2 @ Q ) )
= ( P = Q ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(459,plain,
( ( ! [Z: real,X2: real,Y: real] :
( ( ord_less_real @ Z @ ( ord_min_real @ X2 @ Y ) )
= ( ( ord_less_real @ Z @ X2 )
& ( ord_less_real @ Z @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(460,plain,
( ( ! [B: real,C: real,A: real] :
( ( ord_less_real @ B @ C )
=> ( ord_less_real @ ( ord_min_real @ A @ B ) @ C ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(461,plain,
( ( ! [A: real,C: real,B: real] :
( ( ord_less_real @ A @ C )
=> ( ord_less_real @ ( ord_min_real @ A @ B ) @ C ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(462,plain,
( ( ord_less_real
= ( ^ [A2: real,B2: real] :
( ( A2
= ( ord_min_real @ A2 @ B2 ) )
& ( A2 != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(463,plain,
( ( ! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ ( ord_min_real @ B @ C ) )
=> ~ ( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(464,plain,
( ( ! [X2: real,Y: real,Z: real] :
( ( ord_less_real @ ( ord_min_real @ X2 @ Y ) @ Z )
= ( ( ord_less_real @ X2 @ Z )
| ( ord_less_real @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(465,plain,
( ( ! [P: poly_real,Ub: real] :
( ( P != zero_zero_poly_real )
=> ~ ! [Lb: real] :
( ( ord_less_real @ Lb @ Ub )
=> ~ ! [Z2: real] :
( ( ( ord_less_eq_real @ Lb @ Z2 )
& ( ord_less_real @ Z2 @ Ub ) )
=> ( ( poly_real2 @ P @ Z2 )
!= zero_zero_real ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(466,plain,
( ( ! [P: poly_real,Lb2: real] :
( ( P != zero_zero_poly_real )
=> ~ ! [Ub2: real] :
( ( ord_less_real @ Lb2 @ Ub2 )
=> ~ ! [Z2: real] :
( ( ( ord_less_real @ Lb2 @ Z2 )
& ( ord_less_eq_real @ Z2 @ Ub2 ) )
=> ( ( poly_real2 @ P @ Z2 )
!= zero_zero_real ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(467,plain,
( ( ! [P: poly_real] :
( ( ( poly_real2 @ ( reflect_poly_real @ P ) @ zero_zero_real )
= zero_zero_real )
= ( P = zero_zero_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(468,plain,
( ( ! [P: poly_real,A: real] :
( ( ( poly_real2 @ P @ A )
= zero_zero_real )
= ( ( P = zero_zero_poly_real )
| ( ( order_real @ A @ P )
!= zero_zero_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(469,plain,
( ( ! [R: poly_real,D: poly_real,Dr: nat,N: nat] :
( ( divide1561404011n_real @ zero_zero_real @ zero_zero_poly_real @ R @ D @ Dr @ N )
= zero_zero_poly_real ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(470,plain,
( ( ! [Lb2: real,Ub: real,P: poly_real] :
( ( ! [Z3: real] :
( ( ( ord_less_real @ Lb2 @ Z3 )
& ( ord_less_eq_real @ Z3 @ Ub ) )
=> ( ( poly_real2 @ P @ Z3 )
!= zero_zero_real ) ) )
= ( ! [Z3: real] :
( ( ( ord_less_real @ Lb2 @ Z3 )
& ( ord_less_eq_real @ Z3 @ Ub ) )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ Z3 ) ) )
| ! [Z3: real] :
( ( ( ord_less_real @ Lb2 @ Z3 )
& ( ord_less_eq_real @ Z3 @ Ub ) )
=> ( ord_less_real @ ( poly_real2 @ P @ Z3 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(471,plain,
( ( ~ ! [Lb22: real] :
~ ! [X: real] :
( ( ord_less_eq_real @ X @ Lb22 )
=> ( ( sgn_sgn_real @ ( poly_real2 @ p @ X ) )
= ( sturm_1076696862f_real @ p ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(472,plain,
( ( ord_less_eq_real @ zero_zero_real @ zero_zero_real )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(473,plain,
( ( ord_less_eq_real
= ( ^ [X4: real,Y3: real] :
( ( ord_less_real @ X4 @ Y3 )
| ( X4 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(474,plain,
( ( ! [P: poly_real,A: real] :
( ( ( poly_real2 @ P @ A )
!= zero_zero_real )
=> ( ( order_real @ A @ P )
= zero_zero_nat ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(475,plain,
( ( ! [Lb2: real,Ub: real,P: poly_real] :
( ( ! [Z3: real] :
( ( ( ord_less_eq_real @ Lb2 @ Z3 )
& ( ord_less_real @ Z3 @ Ub ) )
=> ( ( poly_real2 @ P @ Z3 )
!= zero_zero_real ) ) )
= ( ! [Z3: real] :
( ( ( ord_less_eq_real @ Lb2 @ Z3 )
& ( ord_less_real @ Z3 @ Ub ) )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ Z3 ) ) )
| ! [Z3: real] :
( ( ( ord_less_eq_real @ Lb2 @ Z3 )
& ( ord_less_real @ Z3 @ Ub ) )
=> ( ord_less_real @ ( poly_real2 @ P @ Z3 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(476,plain,
( ( ! [X2: real] :
( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ X2 ) )
= ( ord_less_eq_real @ zero_zero_real @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(477,plain,
( ( ! [X2: real] :
( ( ord_less_eq_real @ ( sgn_sgn_real @ X2 ) @ zero_zero_real )
= ( ord_less_eq_real @ X2 @ zero_zero_real ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(478,plain,
( ( ! [A: real] :
( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ A ) )
= ( ord_less_real @ zero_zero_real @ A ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(479,plain,
( ( ! [A: real] :
( ( ord_less_real @ ( sgn_sgn_real @ A ) @ zero_zero_real )
= ( ord_less_real @ A @ zero_zero_real ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(480,plain,
( ( ( sgn_sgn_real @ zero_zero_real )
= zero_zero_real )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(481,plain,
( ( ( sgn_sgn_real @ zero_zero_real )
= zero_zero_real )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(482,plain,
( ( ! [X2: real,Y: real] :
( ( X2 != Y )
=> ( ~ ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ Y @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(483,plain,
( ( ! [A: real] :
( ( ( sgn_sgn_real @ A )
= zero_zero_real )
= ( A = zero_zero_real ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(484,plain,
( ( ! [A: real] :
( ( ( sgn_sgn_real @ A )
= zero_zero_real )
= ( A = zero_zero_real ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(485,plain,
( ( ! [X2: real] :
( ( ( sgn_sgn_real @ X2 )
= zero_zero_real )
= ( X2 = zero_zero_real ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(486,plain,
( ( ! [A: real,F: real > real,B: real,C: real] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(487,plain,
( ( ! [A: nat,F: real > nat,B: real,C: real] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(488,plain,
( ( ! [A: real,F: nat > real,B: nat,C: nat] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(489,plain,
( ( ! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(490,plain,
( ( ! [A: real,B: real,F: real > nat,C: nat] :
( ( ord_less_real @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(491,plain,
( ( ! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_nat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(492,plain,
( ( ! [A: real,F: real > real,B: real,C: real] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(493,plain,
( ( ! [A: real,F: nat > real,B: nat,C: nat] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(494,plain,
( ( ! [A: nat,F: real > nat,B: real,C: real] :
( ( ord_less_nat @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(495,plain,
( ( ! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(496,plain,
( ( ! [A: real,B: real,F: real > nat,C: nat] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_nat @ ( F @ B ) @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(497,plain,
( ( ! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_nat @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(498,plain,
( ( ! [X2: real] :
? [Y2: real] : ( ord_less_real @ Y2 @ X2 ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(499,plain,
( ( ! [X2: real] :
? [X_1: real] : ( ord_less_real @ X2 @ X_1 ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(500,plain,
( ( ! [X2: real,Y: real] :
( ( X2 != Y )
=> ( ~ ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ Y @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(501,plain,
( ( ! [X2: real,Y: real] :
( ( X2 != Y )
= ( ( ord_less_real @ X2 @ Y )
| ( ord_less_real @ Y @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(502,plain,
( ( ! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(503,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ? [Z5: real] :
( ( ord_less_real @ X2 @ Z5 )
& ( ord_less_real @ Z5 @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(504,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( X2 != Y ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(505,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ~ ( ord_less_real @ Y @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(506,plain,
( ( ! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(507,plain,
( ( ! [X2: real,Y: real,Z: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ( ord_less_real @ Y @ Z )
=> ( ord_less_real @ X2 @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(508,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
| ( X2 = Y )
| ( ord_less_real @ Y @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(509,plain,
( ( ! [X2: real] :
~ ( ord_less_real @ X2 @ X2 ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(510,plain,
( ( ! [A: real,B: real,C: real] :
( ( A = B )
=> ( ( ord_less_real @ B @ C )
=> ( ord_less_real @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(511,plain,
( ( ! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( B = C )
=> ( ord_less_real @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(512,plain,
( ( ! [B: real,A: real] :
( ( ord_less_real @ B @ A )
=> ~ ( ord_less_real @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(513,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( X2 != Y ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(514,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ~ ( ord_less_real @ Y @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(515,plain,
( ( ! [Y: real,X2: real] :
( ~ ( ord_less_real @ Y @ X2 )
=> ( ( ~ ( ord_less_real @ X2 @ Y ) )
= ( X2 = Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(516,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( Y != X2 ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(517,plain,
( ( ! [X2: real,Y: real,P3: $o] :
( ( ord_less_real @ X2 @ Y )
=> ( ( ord_less_real @ Y @ X2 )
=> P3 ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(518,plain,
( ( ! [X2: real,Y: real] :
( ~ ( ord_less_real @ X2 @ Y )
=> ( ( X2 != Y )
=> ( ord_less_real @ Y @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(519,plain,
( ( ! [A: real] :
~ ( ord_less_real @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(520,plain,
( ( ! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ B @ C )
=> ( ord_less_real @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(521,plain,
( ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ~ ( ord_less_real @ Y @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(522,plain,
( ( ! [P3: real > real > $o,A: real,B: real] :
( ! [A4: real,B3: real] :
( ( ord_less_real @ A4 @ B3 )
=> ( P3 @ A4 @ B3 ) )
=> ( ! [A4: real] : ( P3 @ A4 @ A4 )
=> ( ! [A4: real,B3: real] :
( ( P3 @ B3 @ A4 )
=> ( P3 @ A4 @ B3 ) )
=> ( P3 @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(523,plain,
( ( ! [B: real,A: real,C: real] :
( ( ord_less_real @ B @ A )
=> ( ( ord_less_real @ C @ B )
=> ( ord_less_real @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(524,plain,
( ( ! [X2: real,Y: real] :
( ( ~ ( ord_less_real @ X2 @ Y ) )
= ( ( ord_less_real @ Y @ X2 )
| ( X2 = Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(525,plain,
( ( ! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ( A != B ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(526,plain,
( ( ! [B: real,A: real] :
( ( ord_less_real @ B @ A )
=> ( A != B ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(527,plain,
( ( ! [Y: real,X2: real] :
( ( ord_less_eq_real @ Y @ X2 )
=> ~ ( ord_less_real @ X2 @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(528,plain,
( ( ! [X2: real,Y: real] :
( ~ ( ord_less_real @ X2 @ Y )
=> ( ord_less_eq_real @ Y @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(529,plain,
( ( ord_less_eq_real
= ( ^ [X4: real,Y3: real] :
( ( ord_less_real @ X4 @ Y3 )
| ( X4 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(530,plain,
( ( ord_less_real
= ( ^ [X4: real,Y3: real] :
( ( ord_less_eq_real @ X4 @ Y3 )
& ( X4 != Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(531,plain,
( ( ! [A: real,F: real > real,B: real,C: real] :
( ( ord_less_eq_real @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(532,plain,
( ( ! [A: real,F: nat > real,B: nat,C: nat] :
( ( ord_less_eq_real @ A @ ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_nat @ X3 @ Y2 )
=> ( ord_less_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(533,plain,
( ( ! [A: nat,F: real > nat,B: real,C: real] :
( ( ord_less_eq_nat @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
=> ( ord_less_nat @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(534,plain,
( ( ! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_eq_real @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X3: real,Y2: real] :
( ( ord_less_eq_real @ X3 @ Y2 )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(535,plain,
( ( ! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_eq_nat @ X3 @ Y2 )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(536,plain,
( ( ! [A: real,F: nat > real,B: nat,C: nat] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X3: nat,Y2: nat] :
( ( ord_less_eq_nat @ X3 @ Y2 )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y2 ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(537,plain,
( ( ! [P3: $o] :
( ( P3 = $true )
| ( P3 = $false ) ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(538,plain,
( ( ~ ( ( ( poly_real2 @ p @ sK1_X3 )
!= zero_zero_real )
| ( ord_less_real @ lb @ sK1_X3 ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(539,plain,
( ( ! [SX0: real,SX1: real > real,SX2: real,SX3: real] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_real @ SX2 @ SX3 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_real @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[486]) ).
thf(540,plain,
( ( ! [SX0: real,SX1: real,SX2: real] :
( ( SX0 != SX1 )
| ~ ( ord_less_real @ SX1 @ SX2 )
| ( ord_less_real @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[510]) ).
thf(541,plain,
( ( ord_less_real
= ( ^ [SX0: real,SX1: real] :
~ ( ( SX0
!= ( ord_min_real @ SX0 @ SX1 ) )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(542,plain,
( ( ! [SX0: nat,SX1: real > nat,SX2: real,SX3: real] :
( ~ ( ord_less_nat @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_real @ SX2 @ SX3 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_nat @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[494]) ).
thf(543,plain,
( ( ! [SX0: real,SX1: real > real,SX2: real,SX3: real] :
( ~ ( ord_less_eq_real @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_real @ SX2 @ SX3 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_real @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[531]) ).
thf(544,plain,
( ( ~ ! [SX0: real] :
~ ! [SX1: real] :
( ~ ( ord_less_eq_real @ SX1 @ SX0 )
| ( ( sgn_sgn_real @ ( poly_real2 @ p @ SX1 ) )
= ( sturm_1076696862f_real @ p ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[471]) ).
thf(545,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_eq_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[527]) ).
thf(546,plain,
( ( p != zero_zero_poly_real )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(547,plain,
( ( ! [SX0: real,SX1: real] :
( ( SX0 != SX1 )
= ( ( ord_less_real @ SX0 @ SX1 )
| ( ord_less_real @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[501]) ).
thf(548,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[525]) ).
thf(549,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ~ ( ord_less_real @ SX0 @ SX1 )
| ( ( ~ ( ord_less_real @ SX1 @ SX0 ) )
= ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(550,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[506]) ).
thf(551,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[504]) ).
thf(552,plain,
( ( ! [SX0: real,SX1: real,SX2: poly_real] :
( ( ! [SX3: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SX0 @ SX3 )
| ~ ( ord_less_real @ SX3 @ SX1 ) )
| ( ( poly_real2 @ SX2 @ SX3 )
!= zero_zero_real ) ) )
= ( ! [SX3: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SX0 @ SX3 )
| ~ ( ord_less_real @ SX3 @ SX1 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SX2 @ SX3 ) ) )
| ! [SX3: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SX0 @ SX3 )
| ~ ( ord_less_real @ SX3 @ SX1 ) )
| ( ord_less_real @ ( poly_real2 @ SX2 @ SX3 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(553,plain,
( ( ! [SX0: real,SX1: real,SX2: real > real,SX3: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_real @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[489]) ).
thf(554,plain,
( ( ! [SX0: real,SX1: real,SX2: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX2 )
| ( ord_less_real @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[520]) ).
thf(555,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ~ ( ord_less_real @ SX0 @ SX1 )
| ( ord_less_eq_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[528]) ).
thf(556,plain,
( ( ! [SX0: real,SX1: nat > real,SX2: nat,SX3: nat] :
( ~ ( ord_less_eq_real @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_nat @ SX2 @ SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_real @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[532]) ).
thf(557,plain,
( ( ! [SX0: real,SX1: real,SX2: poly_real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SX2 @ SX0 ) )
| ~ ( ord_less_real @ ( poly_real2 @ SX2 @ SX1 ) @ zero_zero_real )
| ~ ! [SX3: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SX0 @ SX3 )
| ~ ( ord_less_real @ SX3 @ SX1 ) )
| ( ( poly_real2 @ SX2 @ SX3 )
!= zero_zero_real ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(558,plain,
( ( ! [SX0: real] :
( ( ( poly_real2 @ p @ SX0 )
!= zero_zero_real )
| ( ord_less_real @ lb1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(559,plain,
( ( ! [SX0: nat,SX1: real > nat,SX2: real,SX3: real] :
( ~ ( ord_less_eq_nat @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_real @ SX2 @ SX3 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_nat @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[533]) ).
thf(560,plain,
( ( ~ ( ( ( poly_real2 @ p @ sK1_X3 )
!= zero_zero_real )
| ( ord_less_real @ lb @ sK1_X3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[538]) ).
thf(561,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[505]) ).
thf(562,plain,
( ( ! [SX0: real,SX1: real,SX2: real > real,SX3: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_real @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[495]) ).
thf(563,plain,
( ( ord_less_real
= ( ^ [SX0: real,SX1: real] :
~ ( ~ ( ord_less_eq_real @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[530]) ).
thf(564,plain,
( ( ! [SX0: real,SX1: real,SX2: $o] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 )
| SX2 ) )
= $true ),
inference(unfold_def,[status(thm)],[517]) ).
thf(565,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) )
| ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[518]) ).
thf(566,plain,
( ( ! [SX0: real,SX1: real,SX2: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX2 )
| ( ord_less_real @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[507]) ).
thf(567,plain,
( ( ! [SX0: real,SX1: real,SX2: poly_real] :
( ( ! [SX3: real] :
( ~ ~ ( ~ ( ord_less_real @ SX0 @ SX3 )
| ~ ( ord_less_eq_real @ SX3 @ SX1 ) )
| ( ( poly_real2 @ SX2 @ SX3 )
!= zero_zero_real ) ) )
= ( ! [SX3: real] :
( ~ ~ ( ~ ( ord_less_real @ SX0 @ SX3 )
| ~ ( ord_less_eq_real @ SX3 @ SX1 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SX2 @ SX3 ) ) )
| ! [SX3: real] :
( ~ ~ ( ~ ( ord_less_real @ SX0 @ SX3 )
| ~ ( ord_less_eq_real @ SX3 @ SX1 ) )
| ( ord_less_real @ ( poly_real2 @ SX2 @ SX3 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(568,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat > real,SX3: real] :
( ~ ( ord_less_nat @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_real @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[491]) ).
thf(569,plain,
( ( ! [SX0: real] :
~ ! [SX1: real] :
~ ( ord_less_real @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[498]) ).
thf(570,plain,
( ( ! [SX0: real,SX1: real,SX2: real > nat,SX3: nat] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_nat @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[490]) ).
thf(571,plain,
( ( ! [SX0: real,SX1: real,SX2: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( SX1 != SX2 )
| ( ord_less_real @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[511]) ).
thf(572,plain,
( ( ! [SX0: real] :
~ ! [SX1: real] :
~ ( ord_less_real @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[499]) ).
thf(573,plain,
( ( ~ ! [SX0: real] :
~ ! [SX1: real] :
( ( ( poly_real2 @ p @ SX1 )
!= zero_zero_real )
| ( ord_less_real @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(574,plain,
( ( ! [SX0: real,SX1: real,SX2: real] :
( ( ord_less_real @ SX0 @ ( ord_min_real @ SX1 @ SX2 ) )
= ( ~ ( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(575,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( SX1 != SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[516]) ).
thf(576,plain,
( ( ! [SX0: real,SX1: nat > real,SX2: nat,SX3: nat] :
( ~ ( ord_less_real @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_nat @ SX2 @ SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_real @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[536]) ).
thf(577,plain,
( ( ! [SX0: poly_real,SX1: real] :
( ( ( poly_real2 @ SX0 @ SX1 )
= zero_zero_real )
= ( ( SX0 = zero_zero_poly_real )
| ( ( order_real @ SX1 @ SX0 )
!= zero_zero_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(578,plain,
( ( ! [SX0: poly_real,SX1: real] :
( ~ ( ( SX0 != zero_zero_poly_real ) )
| ~ ! [SX2: real] :
( ~ ( ord_less_real @ SX1 @ SX2 )
| ~ ! [SX3: real] :
( ~ ~ ( ~ ( ord_less_real @ SX1 @ SX3 )
| ~ ( ord_less_eq_real @ SX3 @ SX2 ) )
| ( ( poly_real2 @ SX0 @ SX3 )
!= zero_zero_real ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(579,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ( SX0 != SX1 ) )
| ~ ~ ( ord_less_real @ SX0 @ SX1 )
| ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[500]) ).
thf(580,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( SX1 != SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[526]) ).
thf(581,plain,
( ( ! [SX0: real,SX1: nat > real,SX2: nat,SX3: nat] :
( ~ ( ord_less_real @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_nat @ SX2 @ SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_real @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[493]) ).
thf(582,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ zero_zero_real @ SX0 )
| ~ ( ord_less_real @ zero_zero_real @ SX1 )
| ~ ! [SX2: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SX2 )
| ~ ( ord_less_real @ SX2 @ SX0 ) )
| ~ ( ord_less_real @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(583,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ! [SX2: real] :
~ ~ ( ~ ( ord_less_real @ SX0 @ SX2 )
| ~ ( ord_less_real @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[503]) ).
thf(584,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[514]) ).
thf(585,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat > real,SX3: real] :
( ~ ( ord_less_nat @ SX0 @ SX1 )
| ~ ( ord_less_real @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_real @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[497]) ).
thf(586,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[513]) ).
thf(587,plain,
( ( ! [SX0: real,SX1: real,SX2: real] :
( ~ ( ord_less_real @ SX0 @ ( ord_min_real @ SX1 @ SX2 ) )
| ~ ( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(588,plain,
( ( ! [SX0: poly_real,SX1: real] :
( ~ ( ( ( poly_real2 @ SX0 @ SX1 )
!= zero_zero_real ) )
| ( ( order_real @ SX1 @ SX0 )
= zero_zero_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[474]) ).
thf(589,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[502]) ).
thf(590,plain,
( ( ! [SX0: real,SX1: real,SX2: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX2 @ SX0 )
| ( ord_less_real @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[523]) ).
thf(591,plain,
( ( ! [SX0: real,SX1: real,SX2: poly_real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ ( poly_real2 @ SX2 @ SX0 ) @ zero_zero_real )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SX2 @ SX1 ) )
| ~ ! [SX3: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SX0 @ SX3 )
| ~ ( ord_less_real @ SX3 @ SX1 ) )
| ( ( poly_real2 @ SX2 @ SX3 )
!= zero_zero_real ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(592,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[512]) ).
thf(593,plain,
( ( ! [SX0: real,SX1: real,SX2: real > nat,SX3: nat] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_nat @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_nat @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[496]) ).
thf(594,plain,
( ( ! [SX0: real,SX1: real,SX2: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( ord_less_real @ ( ord_min_real @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(595,plain,
( ( ! [SX0: real > real > $o,SX1: real,SX2: real] :
( ~ ! [SX3: real,SX4: real] :
( ~ ( ord_less_real @ SX3 @ SX4 )
| ( SX0 @ SX3 @ SX4 ) )
| ~ ! [SX3: real] : ( SX0 @ SX3 @ SX3 )
| ~ ! [SX3: real,SX4: real] :
( ~ ( SX0 @ SX4 @ SX3 )
| ( SX0 @ SX3 @ SX4 ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[522]) ).
thf(596,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat > real,SX3: real] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ~ ( ord_less_real @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_real @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[535]) ).
thf(597,plain,
( ( ! [SX0: real,SX1: real,SX2: real > real,SX3: real] :
( ~ ( ord_less_eq_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_eq_real @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_real @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[534]) ).
thf(598,plain,
( ( ! [SX0: nat,SX1: real > nat,SX2: real,SX3: real] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_real @ SX2 @ SX3 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_nat @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[487]) ).
thf(599,plain,
( ( ! [SX0: real,SX1: real > real,SX2: real,SX3: real] :
( ~ ( ord_less_real @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_real @ SX2 @ SX3 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_real @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[492]) ).
thf(600,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ( SX0 != SX1 ) )
| ~ ~ ( ord_less_real @ SX0 @ SX1 )
| ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[482]) ).
thf(601,plain,
( ( ! [SX0: real,SX1: real,SX2: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( ord_less_real @ ( ord_min_real @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(602,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[521]) ).
thf(603,plain,
( ( ! [SX0: poly_real,SX1: real] :
( ~ ( ( SX0 != zero_zero_poly_real ) )
| ~ ! [SX2: real] :
( ~ ( ord_less_real @ SX2 @ SX1 )
| ~ ! [SX3: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SX2 @ SX3 )
| ~ ( ord_less_real @ SX3 @ SX1 ) )
| ( ( poly_real2 @ SX0 @ SX3 )
!= zero_zero_real ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(604,plain,
( ( ! [SX0: real,SX1: nat > real,SX2: nat,SX3: nat] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_nat @ SX2 @ SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_real @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[488]) ).
thf(605,plain,
! [SV1: real] :
( ( ( poly_real2 @ zero_zero_poly_real @ SV1 )
= zero_zero_real )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(606,plain,
! [SV2: poly_real] :
( ( ( ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real ) )
= ( SV2 = zero_zero_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(607,plain,
( ( ord_less_real @ zero_zero_real @ zero_zero_real )
= $false ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(608,plain,
! [SV3: real] :
( ( ( zero_zero_real = SV3 )
= ( SV3 = zero_zero_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(609,plain,
! [SV4: poly_real] :
( ( ! [SY267: poly_real] :
( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SY267 ) )
= ( SV4 = SY267 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(610,plain,
! [SV5: real] :
( ( ! [SY268: real,SY269: real] :
( ( ord_less_real @ ( ord_min_real @ SV5 @ SY268 ) @ SY269 )
= ( ( ord_less_real @ SV5 @ SY269 )
| ( ord_less_real @ SY268 @ SY269 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(611,plain,
! [SV6: poly_real] :
( ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
= zero_zero_real )
= ( SV6 = zero_zero_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(612,plain,
! [SV7: poly_real] :
( ( ! [SY270: poly_real,SY271: nat,SY272: nat] :
( ( divide1561404011n_real @ zero_zero_real @ zero_zero_poly_real @ SV7 @ SY270 @ SY271 @ SY272 )
= zero_zero_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(613,plain,
( ( ! [SV8: real] :
( ( ord_less_eq_real @ SV8 )
= ( ^ [SY273: real] :
( ( ord_less_real @ SV8 @ SY273 )
| ( SV8 = SY273 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[473]) ).
thf(614,plain,
( ( ord_less_eq_real
= ( ^ [X4: real,Y3: real] :
( ( ord_less_real @ X4 @ Y3 )
| ( X4 = Y3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[473]) ).
thf(615,plain,
! [SV9: real] :
( ( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
= ( ord_less_eq_real @ zero_zero_real @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(616,plain,
! [SV10: real] :
( ( ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
= ( ord_less_eq_real @ SV10 @ zero_zero_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(617,plain,
! [SV11: real] :
( ( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
= ( ord_less_real @ zero_zero_real @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(618,plain,
! [SV12: real] :
( ( ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
= ( ord_less_real @ SV12 @ zero_zero_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(619,plain,
! [SV13: real] :
( ( ( ( sgn_sgn_real @ SV13 )
= zero_zero_real )
= ( SV13 = zero_zero_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(620,plain,
! [SV14: real] :
( ( ( ( sgn_sgn_real @ SV14 )
= zero_zero_real )
= ( SV14 = zero_zero_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(621,plain,
! [SV15: real] :
( ( ( ( sgn_sgn_real @ SV15 )
= zero_zero_real )
= ( SV15 = zero_zero_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(622,plain,
! [SV16: real] :
( ( ! [SY274: real] :
( ( ord_less_real @ SV16 @ SY274 )
| ( SV16 = SY274 )
| ( ord_less_real @ SY274 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(623,plain,
! [SV17: real] :
( ( ~ ( ord_less_real @ SV17 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(624,plain,
! [SV18: real] :
( ( ~ ( ord_less_real @ SV18 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(625,plain,
! [SV19: real] :
( ( ! [SY275: real] :
( ( ~ ( ord_less_real @ SV19 @ SY275 ) )
= ( ( ord_less_real @ SY275 @ SV19 )
| ( SV19 = SY275 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(626,plain,
( ( ! [SV20: real] :
( ( ord_less_eq_real @ SV20 )
= ( ^ [SY276: real] :
( ( ord_less_real @ SV20 @ SY276 )
| ( SV20 = SY276 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[529]) ).
thf(627,plain,
( ( ord_less_eq_real
= ( ^ [X4: real,Y3: real] :
( ( ord_less_real @ X4 @ Y3 )
| ( X4 = Y3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[529]) ).
thf(628,plain,
! [SV21: $o] :
( ( ( SV21 = $true )
| ( SV21 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[537]) ).
thf(629,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[537]) ).
thf(630,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[537]) ).
thf(631,plain,
! [SV22: real] :
( ( ! [SY277: real > real,SY278: real,SY279: real] :
( ( SV22
!= ( SY277 @ SY278 ) )
| ~ ( ord_less_real @ SY278 @ SY279 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SY277 @ SX4 ) @ ( SY277 @ SX5 ) ) )
| ( ord_less_real @ SV22 @ ( SY277 @ SY279 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(632,plain,
! [SV23: real] :
( ( ! [SY282: real,SY283: real] :
( ( SV23 != SY282 )
| ~ ( ord_less_real @ SY282 @ SY283 )
| ( ord_less_real @ SV23 @ SY283 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(633,plain,
( ( ! [SV24: real] :
( ( ord_less_real @ SV24 )
= ( ^ [SY284: real] :
~ ( ( SV24
!= ( ord_min_real @ SV24 @ SY284 ) )
| ~ ( ( SV24 != SY284 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[541]) ).
thf(634,plain,
( ( ord_less_real
= ( ^ [SX0: real,SX1: real] :
~ ( ( SX0
!= ( ord_min_real @ SX0 @ SX1 ) )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[541]) ).
thf(635,plain,
! [SV25: nat] :
( ( ! [SY285: real > nat,SY286: real,SY287: real] :
( ~ ( ord_less_nat @ SV25 @ ( SY285 @ SY286 ) )
| ~ ( ord_less_real @ SY286 @ SY287 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SY285 @ SX4 ) @ ( SY285 @ SX5 ) ) )
| ( ord_less_nat @ SV25 @ ( SY285 @ SY287 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(636,plain,
! [SV26: real] :
( ( ! [SY290: real > real,SY291: real,SY292: real] :
( ~ ( ord_less_eq_real @ SV26 @ ( SY290 @ SY291 ) )
| ~ ( ord_less_real @ SY291 @ SY292 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SY290 @ SX4 ) @ ( SY290 @ SX5 ) ) )
| ( ord_less_real @ SV26 @ ( SY290 @ SY292 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(637,plain,
( ( ! [SX0: real] :
~ ! [SX1: real] :
( ~ ( ord_less_eq_real @ SX1 @ SX0 )
| ( ( sgn_sgn_real @ ( poly_real2 @ p @ SX1 ) )
= ( sturm_1076696862f_real @ p ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(638,plain,
! [SV27: real] :
( ( ! [SY295: real] :
( ~ ( ord_less_eq_real @ SV27 @ SY295 )
| ~ ( ord_less_real @ SY295 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(639,plain,
( ( p = zero_zero_poly_real )
= $false ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(640,plain,
! [SV28: real] :
( ( ! [SY296: real] :
( ( SV28 != SY296 )
= ( ( ord_less_real @ SV28 @ SY296 )
| ( ord_less_real @ SY296 @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(641,plain,
! [SV29: real] :
( ( ! [SY297: real] :
( ~ ( ord_less_real @ SV29 @ SY297 )
| ( SV29 != SY297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(642,plain,
! [SV30: real] :
( ( ! [SY298: real] :
( ~ ~ ( ord_less_real @ SV30 @ SY298 )
| ( ( ~ ( ord_less_real @ SY298 @ SV30 ) )
= ( SY298 = SV30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(643,plain,
! [SV31: real] :
( ( ! [SY299: real] :
( ~ ( ord_less_real @ SV31 @ SY299 )
| ~ ( ord_less_real @ SY299 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(644,plain,
! [SV32: real] :
( ( ! [SY300: real] :
( ~ ( ord_less_real @ SV32 @ SY300 )
| ( SV32 != SY300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(645,plain,
! [SV33: real] :
( ( ! [SY301: real,SY302: poly_real] :
( ( ! [SY303: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY303 )
| ~ ( ord_less_real @ SY303 @ SY301 ) )
| ( ( poly_real2 @ SY302 @ SY303 )
!= zero_zero_real ) ) )
= ( ! [SY304: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY304 )
| ~ ( ord_less_real @ SY304 @ SY301 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY302 @ SY304 ) ) )
| ! [SY305: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY305 )
| ~ ( ord_less_real @ SY305 @ SY301 ) )
| ( ord_less_real @ ( poly_real2 @ SY302 @ SY305 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(646,plain,
! [SV34: real] :
( ( ! [SY306: real,SY307: real > real,SY308: real] :
( ~ ( ord_less_real @ SV34 @ SY306 )
| ( ( SY307 @ SY306 )
!= SY308 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SY307 @ SX4 ) @ ( SY307 @ SX5 ) ) )
| ( ord_less_real @ ( SY307 @ SV34 ) @ SY308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(647,plain,
! [SV35: real] :
( ( ! [SY311: real,SY312: real] :
( ~ ( ord_less_real @ SV35 @ SY311 )
| ~ ( ord_less_real @ SY311 @ SY312 )
| ( ord_less_real @ SV35 @ SY312 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(648,plain,
! [SV36: real] :
( ( ! [SY313: real] :
( ~ ~ ( ord_less_real @ SV36 @ SY313 )
| ( ord_less_eq_real @ SY313 @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(649,plain,
! [SV37: real] :
( ( ! [SY314: nat > real,SY315: nat,SY316: nat] :
( ~ ( ord_less_eq_real @ SV37 @ ( SY314 @ SY315 ) )
| ~ ( ord_less_nat @ SY315 @ SY316 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SY314 @ SX4 ) @ ( SY314 @ SX5 ) ) )
| ( ord_less_real @ SV37 @ ( SY314 @ SY316 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(650,plain,
! [SV38: real] :
( ( ! [SY319: real,SY320: poly_real] :
( ~ ( ord_less_real @ SV38 @ SY319 )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY320 @ SV38 ) )
| ~ ( ord_less_real @ ( poly_real2 @ SY320 @ SY319 ) @ zero_zero_real )
| ~ ! [SY321: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV38 @ SY321 )
| ~ ( ord_less_real @ SY321 @ SY319 ) )
| ( ( poly_real2 @ SY320 @ SY321 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(651,plain,
! [SV39: real] :
( ( ( ( poly_real2 @ p @ SV39 )
!= zero_zero_real )
| ( ord_less_real @ lb1 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(652,plain,
! [SV40: nat] :
( ( ! [SY322: real > nat,SY323: real,SY324: real] :
( ~ ( ord_less_eq_nat @ SV40 @ ( SY322 @ SY323 ) )
| ~ ( ord_less_real @ SY323 @ SY324 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SY322 @ SX4 ) @ ( SY322 @ SX5 ) ) )
| ( ord_less_nat @ SV40 @ ( SY322 @ SY324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(653,plain,
( ( ( ( poly_real2 @ p @ sK1_X3 )
!= zero_zero_real )
| ( ord_less_real @ lb @ sK1_X3 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(654,plain,
! [SV41: real] :
( ( ! [SY327: real] :
( ~ ( ord_less_real @ SV41 @ SY327 )
| ~ ( ord_less_real @ SY327 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(655,plain,
! [SV42: real] :
( ( ! [SY328: real,SY329: real > real,SY330: real] :
( ~ ( ord_less_real @ SV42 @ SY328 )
| ~ ( ord_less_real @ ( SY329 @ SY328 ) @ SY330 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SY329 @ SX4 ) @ ( SY329 @ SX5 ) ) )
| ( ord_less_real @ ( SY329 @ SV42 ) @ SY330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(656,plain,
( ( ! [SV43: real] :
( ( ord_less_real @ SV43 )
= ( ^ [SY333: real] :
~ ( ~ ( ord_less_eq_real @ SV43 @ SY333 )
| ~ ( ( SV43 != SY333 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[563]) ).
thf(657,plain,
( ( ord_less_real
= ( ^ [SX0: real,SX1: real] :
~ ( ~ ( ord_less_eq_real @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[563]) ).
thf(658,plain,
! [SV44: real] :
( ( ! [SY334: real,SY335: $o] :
( ~ ( ord_less_real @ SV44 @ SY334 )
| ~ ( ord_less_real @ SY334 @ SV44 )
| SY335 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(659,plain,
! [SV45: real] :
( ( ! [SY336: real] :
( ~ ~ ( ord_less_real @ SV45 @ SY336 )
| ~ ( ( SV45 != SY336 ) )
| ( ord_less_real @ SY336 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(660,plain,
! [SV46: real] :
( ( ! [SY337: real,SY338: real] :
( ~ ( ord_less_real @ SV46 @ SY337 )
| ~ ( ord_less_real @ SY337 @ SY338 )
| ( ord_less_real @ SV46 @ SY338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(661,plain,
! [SV47: real] :
( ( ! [SY339: real,SY340: poly_real] :
( ( ! [SY341: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY341 )
| ~ ( ord_less_eq_real @ SY341 @ SY339 ) )
| ( ( poly_real2 @ SY340 @ SY341 )
!= zero_zero_real ) ) )
= ( ! [SY342: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY342 )
| ~ ( ord_less_eq_real @ SY342 @ SY339 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY340 @ SY342 ) ) )
| ! [SY343: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY343 )
| ~ ( ord_less_eq_real @ SY343 @ SY339 ) )
| ( ord_less_real @ ( poly_real2 @ SY340 @ SY343 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(662,plain,
! [SV48: nat] :
( ( ! [SY344: nat,SY345: nat > real,SY346: real] :
( ~ ( ord_less_nat @ SV48 @ SY344 )
| ( ( SY345 @ SY344 )
!= SY346 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SY345 @ SX4 ) @ ( SY345 @ SX5 ) ) )
| ( ord_less_real @ ( SY345 @ SV48 ) @ SY346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(663,plain,
! [SV49: real] :
( ( ~ ! [SY349: real] :
~ ( ord_less_real @ SY349 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(664,plain,
! [SV50: real] :
( ( ! [SY350: real,SY351: real > nat,SY352: nat] :
( ~ ( ord_less_real @ SV50 @ SY350 )
| ( ( SY351 @ SY350 )
!= SY352 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SY351 @ SX4 ) @ ( SY351 @ SX5 ) ) )
| ( ord_less_nat @ ( SY351 @ SV50 ) @ SY352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(665,plain,
! [SV51: real] :
( ( ! [SY355: real,SY356: real] :
( ~ ( ord_less_real @ SV51 @ SY355 )
| ( SY355 != SY356 )
| ( ord_less_real @ SV51 @ SY356 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(666,plain,
! [SV52: real] :
( ( ~ ! [SY357: real] :
~ ( ord_less_real @ SV52 @ SY357 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(667,plain,
( ( ! [SX0: real] :
~ ! [SX1: real] :
( ( ( poly_real2 @ p @ SX1 )
!= zero_zero_real )
| ( ord_less_real @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(668,plain,
! [SV53: real] :
( ( ! [SY358: real,SY359: real] :
( ( ord_less_real @ SV53 @ ( ord_min_real @ SY358 @ SY359 ) )
= ( ~ ( ~ ( ord_less_real @ SV53 @ SY358 )
| ~ ( ord_less_real @ SV53 @ SY359 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(669,plain,
! [SV54: real] :
( ( ! [SY360: real] :
( ~ ( ord_less_real @ SV54 @ SY360 )
| ( SY360 != SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(670,plain,
! [SV55: real] :
( ( ! [SY361: nat > real,SY362: nat,SY363: nat] :
( ~ ( ord_less_real @ SV55 @ ( SY361 @ SY362 ) )
| ~ ( ord_less_eq_nat @ SY362 @ SY363 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SY361 @ SX4 ) @ ( SY361 @ SX5 ) ) )
| ( ord_less_real @ SV55 @ ( SY361 @ SY363 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(671,plain,
! [SV56: poly_real] :
( ( ! [SY366: real] :
( ( ( poly_real2 @ SV56 @ SY366 )
= zero_zero_real )
= ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SY366 @ SV56 )
!= zero_zero_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(672,plain,
! [SV57: poly_real] :
( ( ! [SY367: real] :
( ~ ( ( SV57 != zero_zero_poly_real ) )
| ~ ! [SY368: real] :
( ~ ( ord_less_real @ SY367 @ SY368 )
| ~ ! [SY369: real] :
( ~ ~ ( ~ ( ord_less_real @ SY367 @ SY369 )
| ~ ( ord_less_eq_real @ SY369 @ SY368 ) )
| ( ( poly_real2 @ SV57 @ SY369 )
!= zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(673,plain,
! [SV58: real] :
( ( ! [SY370: real] :
( ~ ( ( SV58 != SY370 ) )
| ~ ~ ( ord_less_real @ SV58 @ SY370 )
| ( ord_less_real @ SY370 @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(674,plain,
! [SV59: real] :
( ( ! [SY371: real] :
( ~ ( ord_less_real @ SV59 @ SY371 )
| ( SY371 != SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(675,plain,
! [SV60: real] :
( ( ! [SY372: nat > real,SY373: nat,SY374: nat] :
( ~ ( ord_less_real @ SV60 @ ( SY372 @ SY373 ) )
| ~ ( ord_less_nat @ SY373 @ SY374 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SY372 @ SX4 ) @ ( SY372 @ SX5 ) ) )
| ( ord_less_real @ SV60 @ ( SY372 @ SY374 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(676,plain,
! [SV61: real] :
( ( ! [SY377: real] :
( ~ ( ord_less_real @ zero_zero_real @ SV61 )
| ~ ( ord_less_real @ zero_zero_real @ SY377 )
| ~ ! [SY378: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY378 )
| ~ ( ord_less_real @ SY378 @ SV61 ) )
| ~ ( ord_less_real @ SY378 @ SY377 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(677,plain,
! [SV62: real] :
( ( ! [SY379: real] :
( ~ ( ord_less_real @ SV62 @ SY379 )
| ~ ! [SY380: real] :
~ ~ ( ~ ( ord_less_real @ SV62 @ SY380 )
| ~ ( ord_less_real @ SY380 @ SY379 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(678,plain,
! [SV63: real] :
( ( ! [SY381: real] :
( ~ ( ord_less_real @ SV63 @ SY381 )
| ~ ( ord_less_real @ SY381 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(679,plain,
! [SV64: nat] :
( ( ! [SY382: nat,SY383: nat > real,SY384: real] :
( ~ ( ord_less_nat @ SV64 @ SY382 )
| ~ ( ord_less_real @ ( SY383 @ SY382 ) @ SY384 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SY383 @ SX4 ) @ ( SY383 @ SX5 ) ) )
| ( ord_less_real @ ( SY383 @ SV64 ) @ SY384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(680,plain,
! [SV65: real] :
( ( ! [SY387: real] :
( ~ ( ord_less_real @ SV65 @ SY387 )
| ( SV65 != SY387 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(681,plain,
! [SV66: real] :
( ( ! [SY388: real,SY389: real] :
( ~ ( ord_less_real @ SV66 @ ( ord_min_real @ SY388 @ SY389 ) )
| ~ ( ~ ( ord_less_real @ SV66 @ SY388 )
| ~ ( ord_less_real @ SV66 @ SY389 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(682,plain,
! [SV67: poly_real] :
( ( ! [SY390: real] :
( ~ ( ( ( poly_real2 @ SV67 @ SY390 )
!= zero_zero_real ) )
| ( ( order_real @ SY390 @ SV67 )
= zero_zero_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(683,plain,
! [SV68: real] :
( ( ! [SY391: real] :
( ~ ( ord_less_real @ SV68 @ SY391 )
| ~ ( ord_less_real @ SY391 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(684,plain,
! [SV69: real] :
( ( ! [SY392: real,SY393: real] :
( ~ ( ord_less_real @ SV69 @ SY392 )
| ~ ( ord_less_real @ SY393 @ SV69 )
| ( ord_less_real @ SY393 @ SY392 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(685,plain,
! [SV70: real] :
( ( ! [SY394: real,SY395: poly_real] :
( ~ ( ord_less_real @ SV70 @ SY394 )
| ~ ( ord_less_real @ ( poly_real2 @ SY395 @ SV70 ) @ zero_zero_real )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY395 @ SY394 ) )
| ~ ! [SY396: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV70 @ SY396 )
| ~ ( ord_less_real @ SY396 @ SY394 ) )
| ( ( poly_real2 @ SY395 @ SY396 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(686,plain,
! [SV71: real] :
( ( ! [SY397: real] :
( ~ ( ord_less_real @ SV71 @ SY397 )
| ~ ( ord_less_real @ SY397 @ SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(687,plain,
! [SV72: real] :
( ( ! [SY398: real,SY399: real > nat,SY400: nat] :
( ~ ( ord_less_real @ SV72 @ SY398 )
| ~ ( ord_less_nat @ ( SY399 @ SY398 ) @ SY400 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SY399 @ SX4 ) @ ( SY399 @ SX5 ) ) )
| ( ord_less_nat @ ( SY399 @ SV72 ) @ SY400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(688,plain,
! [SV73: real] :
( ( ! [SY403: real,SY404: real] :
( ~ ( ord_less_real @ SV73 @ SY403 )
| ( ord_less_real @ ( ord_min_real @ SV73 @ SY404 ) @ SY403 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(689,plain,
! [SV74: real > real > $o] :
( ( ! [SY405: real,SY406: real] :
( ~ ! [SY407: real,SY408: real] :
( ~ ( ord_less_real @ SY407 @ SY408 )
| ( SV74 @ SY407 @ SY408 ) )
| ~ ! [SY409: real] : ( SV74 @ SY409 @ SY409 )
| ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SY405 @ SY406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(690,plain,
! [SV75: nat] :
( ( ! [SY412: nat,SY413: nat > real,SY414: real] :
( ~ ( ord_less_eq_nat @ SV75 @ SY412 )
| ~ ( ord_less_real @ ( SY413 @ SY412 ) @ SY414 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SY413 @ SX4 ) @ ( SY413 @ SX5 ) ) )
| ( ord_less_real @ ( SY413 @ SV75 ) @ SY414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(691,plain,
! [SV76: real] :
( ( ! [SY417: real,SY418: real > real,SY419: real] :
( ~ ( ord_less_eq_real @ SV76 @ SY417 )
| ~ ( ord_less_real @ ( SY418 @ SY417 ) @ SY419 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_eq_real @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SY418 @ SX4 ) @ ( SY418 @ SX5 ) ) )
| ( ord_less_real @ ( SY418 @ SV76 ) @ SY419 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(692,plain,
! [SV77: nat] :
( ( ! [SY422: real > nat,SY423: real,SY424: real] :
( ( SV77
!= ( SY422 @ SY423 ) )
| ~ ( ord_less_real @ SY423 @ SY424 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SY422 @ SX4 ) @ ( SY422 @ SX5 ) ) )
| ( ord_less_nat @ SV77 @ ( SY422 @ SY424 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(693,plain,
! [SV78: real] :
( ( ! [SY427: real > real,SY428: real,SY429: real] :
( ~ ( ord_less_real @ SV78 @ ( SY427 @ SY428 ) )
| ~ ( ord_less_real @ SY428 @ SY429 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SY427 @ SX4 ) @ ( SY427 @ SX5 ) ) )
| ( ord_less_real @ SV78 @ ( SY427 @ SY429 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(694,plain,
! [SV79: real] :
( ( ! [SY432: real] :
( ~ ( ( SV79 != SY432 ) )
| ~ ~ ( ord_less_real @ SV79 @ SY432 )
| ( ord_less_real @ SY432 @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(695,plain,
! [SV80: real] :
( ( ! [SY433: real,SY434: real] :
( ~ ( ord_less_real @ SV80 @ SY433 )
| ( ord_less_real @ ( ord_min_real @ SY434 @ SV80 ) @ SY433 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(696,plain,
! [SV81: real] :
( ( ! [SY435: real] :
( ~ ( ord_less_real @ SV81 @ SY435 )
| ~ ( ord_less_real @ SY435 @ SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(697,plain,
! [SV82: poly_real] :
( ( ! [SY436: real] :
( ~ ( ( SV82 != zero_zero_poly_real ) )
| ~ ! [SY437: real] :
( ~ ( ord_less_real @ SY437 @ SY436 )
| ~ ! [SY438: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SY437 @ SY438 )
| ~ ( ord_less_real @ SY438 @ SY436 ) )
| ( ( poly_real2 @ SV82 @ SY438 )
!= zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(698,plain,
! [SV83: real] :
( ( ! [SY439: nat > real,SY440: nat,SY441: nat] :
( ( SV83
!= ( SY439 @ SY440 ) )
| ~ ( ord_less_nat @ SY440 @ SY441 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SY439 @ SX4 ) @ ( SY439 @ SX5 ) ) )
| ( ord_less_real @ SV83 @ ( SY439 @ SY441 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(699,plain,
! [SV2: poly_real] :
( ( ~ ( ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real )
| ( SV2 = zero_zero_poly_real ) )
| ~ ( ~ ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(700,plain,
! [SV2: poly_real] :
( ( ( ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real ) )
= ( SV2 = zero_zero_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(701,plain,
! [SV3: real] :
( ( ~ ( ( zero_zero_real = SV3 )
| ( SV3 = zero_zero_real ) )
| ~ ( ( zero_zero_real != SV3 )
| ( SV3 != zero_zero_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[608]) ).
thf(702,plain,
! [SV3: real] :
( ( ( zero_zero_real = SV3 )
= ( SV3 = zero_zero_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[608]) ).
thf(703,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= ( SV4 = SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(704,plain,
! [SV85: real,SV5: real] :
( ( ! [SY444: real] :
( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SY444 )
= ( ( ord_less_real @ SV5 @ SY444 )
| ( ord_less_real @ SV85 @ SY444 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(705,plain,
! [SV6: poly_real] :
( ( ~ ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
= zero_zero_real )
| ( SV6 = zero_zero_poly_real ) )
| ~ ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
!= zero_zero_real )
| ( SV6 != zero_zero_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[611]) ).
thf(706,plain,
! [SV6: poly_real] :
( ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
= zero_zero_real )
= ( SV6 = zero_zero_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[611]) ).
thf(707,plain,
! [SV86: poly_real,SV7: poly_real] :
( ( ! [SY445: nat,SY446: nat] :
( ( divide1561404011n_real @ zero_zero_real @ zero_zero_poly_real @ SV7 @ SV86 @ SY445 @ SY446 )
= zero_zero_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(708,plain,
! [SV87: real] :
( ( ( ord_less_eq_real @ SV87 )
= ( ^ [SY447: real] :
( ( ord_less_real @ SV87 @ SY447 )
| ( SV87 = SY447 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(709,plain,
! [SV9: real] :
( ( ~ ( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
| ( ord_less_eq_real @ zero_zero_real @ SV9 ) )
| ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
| ~ ( ord_less_eq_real @ zero_zero_real @ SV9 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[615]) ).
thf(710,plain,
! [SV9: real] :
( ( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
= ( ord_less_eq_real @ zero_zero_real @ SV9 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[615]) ).
thf(711,plain,
! [SV10: real] :
( ( ~ ( ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
| ( ord_less_eq_real @ SV10 @ zero_zero_real ) )
| ~ ( ~ ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
| ~ ( ord_less_eq_real @ SV10 @ zero_zero_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[616]) ).
thf(712,plain,
! [SV10: real] :
( ( ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
= ( ord_less_eq_real @ SV10 @ zero_zero_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[616]) ).
thf(713,plain,
! [SV11: real] :
( ( ~ ( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
| ( ord_less_real @ zero_zero_real @ SV11 ) )
| ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
| ~ ( ord_less_real @ zero_zero_real @ SV11 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(714,plain,
! [SV11: real] :
( ( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
= ( ord_less_real @ zero_zero_real @ SV11 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(715,plain,
! [SV12: real] :
( ( ~ ( ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
| ( ord_less_real @ SV12 @ zero_zero_real ) )
| ~ ( ~ ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
| ~ ( ord_less_real @ SV12 @ zero_zero_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[618]) ).
thf(716,plain,
! [SV12: real] :
( ( ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
= ( ord_less_real @ SV12 @ zero_zero_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[618]) ).
thf(717,plain,
! [SV13: real] :
( ( ~ ( ( ( sgn_sgn_real @ SV13 )
= zero_zero_real )
| ( SV13 = zero_zero_real ) )
| ~ ( ( ( sgn_sgn_real @ SV13 )
!= zero_zero_real )
| ( SV13 != zero_zero_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[619]) ).
thf(718,plain,
! [SV13: real] :
( ( ( ( sgn_sgn_real @ SV13 )
= zero_zero_real )
= ( SV13 = zero_zero_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[619]) ).
thf(719,plain,
! [SV14: real] :
( ( ~ ( ( ( sgn_sgn_real @ SV14 )
= zero_zero_real )
| ( SV14 = zero_zero_real ) )
| ~ ( ( ( sgn_sgn_real @ SV14 )
!= zero_zero_real )
| ( SV14 != zero_zero_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[620]) ).
thf(720,plain,
! [SV14: real] :
( ( ( ( sgn_sgn_real @ SV14 )
= zero_zero_real )
= ( SV14 = zero_zero_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[620]) ).
thf(721,plain,
! [SV15: real] :
( ( ~ ( ( ( sgn_sgn_real @ SV15 )
= zero_zero_real )
| ( SV15 = zero_zero_real ) )
| ~ ( ( ( sgn_sgn_real @ SV15 )
!= zero_zero_real )
| ( SV15 != zero_zero_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(722,plain,
! [SV15: real] :
( ( ( ( sgn_sgn_real @ SV15 )
= zero_zero_real )
= ( SV15 = zero_zero_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(723,plain,
! [SV88: real,SV16: real] :
( ( ( ord_less_real @ SV16 @ SV88 )
| ( SV16 = SV88 )
| ( ord_less_real @ SV88 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(724,plain,
! [SV17: real] :
( ( ord_less_real @ SV17 @ SV17 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(725,plain,
! [SV18: real] :
( ( ord_less_real @ SV18 @ SV18 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(726,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ( ord_less_real @ SV19 @ SV89 ) )
= ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(727,plain,
! [SV90: real] :
( ( ( ord_less_eq_real @ SV90 )
= ( ^ [SY448: real] :
( ( ord_less_real @ SV90 @ SY448 )
| ( SV90 = SY448 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(728,plain,
! [SV21: $o] :
( ( ( SV21 = $true )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(729,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(730,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(731,plain,
! [SV91: real > real,SV22: real] :
( ( ! [SY449: real,SY450: real] :
( ( SV22
!= ( SV91 @ SY449 ) )
| ~ ( ord_less_real @ SY449 @ SY450 )
| ~ ! [SY451: real,SY452: real] :
( ~ ( ord_less_real @ SY451 @ SY452 )
| ( ord_less_real @ ( SV91 @ SY451 ) @ ( SV91 @ SY452 ) ) )
| ( ord_less_real @ SV22 @ ( SV91 @ SY450 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(732,plain,
! [SV92: real,SV23: real] :
( ( ! [SY453: real] :
( ( SV23 != SV92 )
| ~ ( ord_less_real @ SV92 @ SY453 )
| ( ord_less_real @ SV23 @ SY453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(733,plain,
! [SV93: real] :
( ( ( ord_less_real @ SV93 )
= ( ^ [SY454: real] :
~ ( ( SV93
!= ( ord_min_real @ SV93 @ SY454 ) )
| ~ ( ( SV93 != SY454 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(734,plain,
! [SV94: real > nat,SV25: nat] :
( ( ! [SY455: real,SY456: real] :
( ~ ( ord_less_nat @ SV25 @ ( SV94 @ SY455 ) )
| ~ ( ord_less_real @ SY455 @ SY456 )
| ~ ! [SY457: real,SY458: real] :
( ~ ( ord_less_real @ SY457 @ SY458 )
| ( ord_less_nat @ ( SV94 @ SY457 ) @ ( SV94 @ SY458 ) ) )
| ( ord_less_nat @ SV25 @ ( SV94 @ SY456 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(735,plain,
! [SV95: real > real,SV26: real] :
( ( ! [SY459: real,SY460: real] :
( ~ ( ord_less_eq_real @ SV26 @ ( SV95 @ SY459 ) )
| ~ ( ord_less_real @ SY459 @ SY460 )
| ~ ! [SY461: real,SY462: real] :
( ~ ( ord_less_real @ SY461 @ SY462 )
| ( ord_less_real @ ( SV95 @ SY461 ) @ ( SV95 @ SY462 ) ) )
| ( ord_less_real @ SV26 @ ( SV95 @ SY460 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(736,plain,
( ( ~ ! [SY463: real] :
( ~ ( ord_less_eq_real @ SY463 @ sK2_SX0 )
| ( ( sgn_sgn_real @ ( poly_real2 @ p @ SY463 ) )
= ( sturm_1076696862f_real @ p ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[637]) ).
thf(737,plain,
! [SV96: real,SV27: real] :
( ( ~ ( ord_less_eq_real @ SV27 @ SV96 )
| ~ ( ord_less_real @ SV96 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(738,plain,
! [SV97: real,SV28: real] :
( ( ( SV28 != SV97 )
= ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(739,plain,
! [SV98: real,SV29: real] :
( ( ~ ( ord_less_real @ SV29 @ SV98 )
| ( SV29 != SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(740,plain,
! [SV99: real,SV30: real] :
( ( ~ ~ ( ord_less_real @ SV30 @ SV99 )
| ( ( ~ ( ord_less_real @ SV99 @ SV30 ) )
= ( SV99 = SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(741,plain,
! [SV100: real,SV31: real] :
( ( ~ ( ord_less_real @ SV31 @ SV100 )
| ~ ( ord_less_real @ SV100 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(742,plain,
! [SV101: real,SV32: real] :
( ( ~ ( ord_less_real @ SV32 @ SV101 )
| ( SV32 != SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(743,plain,
! [SV102: real,SV33: real] :
( ( ! [SY464: poly_real] :
( ( ! [SY465: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY465 )
| ~ ( ord_less_real @ SY465 @ SV102 ) )
| ( ( poly_real2 @ SY464 @ SY465 )
!= zero_zero_real ) ) )
= ( ! [SY466: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY466 )
| ~ ( ord_less_real @ SY466 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY464 @ SY466 ) ) )
| ! [SY467: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY467 )
| ~ ( ord_less_real @ SY467 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SY464 @ SY467 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(744,plain,
! [SV103: real,SV34: real] :
( ( ! [SY468: real > real,SY469: real] :
( ~ ( ord_less_real @ SV34 @ SV103 )
| ( ( SY468 @ SV103 )
!= SY469 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SY468 @ SX4 ) @ ( SY468 @ SX5 ) ) )
| ( ord_less_real @ ( SY468 @ SV34 ) @ SY469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(745,plain,
! [SV104: real,SV35: real] :
( ( ! [SY472: real] :
( ~ ( ord_less_real @ SV35 @ SV104 )
| ~ ( ord_less_real @ SV104 @ SY472 )
| ( ord_less_real @ SV35 @ SY472 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(746,plain,
! [SV105: real,SV36: real] :
( ( ~ ~ ( ord_less_real @ SV36 @ SV105 )
| ( ord_less_eq_real @ SV105 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(747,plain,
! [SV106: nat > real,SV37: real] :
( ( ! [SY473: nat,SY474: nat] :
( ~ ( ord_less_eq_real @ SV37 @ ( SV106 @ SY473 ) )
| ~ ( ord_less_nat @ SY473 @ SY474 )
| ~ ! [SY475: nat,SY476: nat] :
( ~ ( ord_less_nat @ SY475 @ SY476 )
| ( ord_less_real @ ( SV106 @ SY475 ) @ ( SV106 @ SY476 ) ) )
| ( ord_less_real @ SV37 @ ( SV106 @ SY474 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(748,plain,
! [SV107: real,SV38: real] :
( ( ! [SY477: poly_real] :
( ~ ( ord_less_real @ SV38 @ SV107 )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY477 @ SV38 ) )
| ~ ( ord_less_real @ ( poly_real2 @ SY477 @ SV107 ) @ zero_zero_real )
| ~ ! [SY478: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV38 @ SY478 )
| ~ ( ord_less_real @ SY478 @ SV107 ) )
| ( ( poly_real2 @ SY477 @ SY478 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(749,plain,
! [SV39: real] :
( ( ( ( poly_real2 @ p @ SV39 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ lb1 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(750,plain,
! [SV108: real > nat,SV40: nat] :
( ( ! [SY479: real,SY480: real] :
( ~ ( ord_less_eq_nat @ SV40 @ ( SV108 @ SY479 ) )
| ~ ( ord_less_real @ SY479 @ SY480 )
| ~ ! [SY481: real,SY482: real] :
( ~ ( ord_less_real @ SY481 @ SY482 )
| ( ord_less_nat @ ( SV108 @ SY481 ) @ ( SV108 @ SY482 ) ) )
| ( ord_less_nat @ SV40 @ ( SV108 @ SY480 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(751,plain,
( ( ( poly_real2 @ p @ sK1_X3 )
!= zero_zero_real )
= $false ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(752,plain,
( ( ord_less_real @ lb @ sK1_X3 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(753,plain,
! [SV109: real,SV41: real] :
( ( ~ ( ord_less_real @ SV41 @ SV109 )
| ~ ( ord_less_real @ SV109 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(754,plain,
! [SV110: real,SV42: real] :
( ( ! [SY483: real > real,SY484: real] :
( ~ ( ord_less_real @ SV42 @ SV110 )
| ~ ( ord_less_real @ ( SY483 @ SV110 ) @ SY484 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SY483 @ SX4 ) @ ( SY483 @ SX5 ) ) )
| ( ord_less_real @ ( SY483 @ SV42 ) @ SY484 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(755,plain,
! [SV111: real] :
( ( ( ord_less_real @ SV111 )
= ( ^ [SY487: real] :
~ ( ~ ( ord_less_eq_real @ SV111 @ SY487 )
| ~ ( ( SV111 != SY487 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(756,plain,
! [SV112: real,SV44: real] :
( ( ! [SY488: $o] :
( ~ ( ord_less_real @ SV44 @ SV112 )
| ~ ( ord_less_real @ SV112 @ SV44 )
| SY488 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(757,plain,
! [SV113: real,SV45: real] :
( ( ~ ~ ( ord_less_real @ SV45 @ SV113 )
| ~ ( ( SV45 != SV113 ) )
| ( ord_less_real @ SV113 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(758,plain,
! [SV114: real,SV46: real] :
( ( ! [SY489: real] :
( ~ ( ord_less_real @ SV46 @ SV114 )
| ~ ( ord_less_real @ SV114 @ SY489 )
| ( ord_less_real @ SV46 @ SY489 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(759,plain,
! [SV115: real,SV47: real] :
( ( ! [SY490: poly_real] :
( ( ! [SY491: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY491 )
| ~ ( ord_less_eq_real @ SY491 @ SV115 ) )
| ( ( poly_real2 @ SY490 @ SY491 )
!= zero_zero_real ) ) )
= ( ! [SY492: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY492 )
| ~ ( ord_less_eq_real @ SY492 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY490 @ SY492 ) ) )
| ! [SY493: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY493 )
| ~ ( ord_less_eq_real @ SY493 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SY490 @ SY493 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(760,plain,
! [SV116: nat,SV48: nat] :
( ( ! [SY494: nat > real,SY495: real] :
( ~ ( ord_less_nat @ SV48 @ SV116 )
| ( ( SY494 @ SV116 )
!= SY495 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SY494 @ SX4 ) @ ( SY494 @ SX5 ) ) )
| ( ord_less_real @ ( SY494 @ SV48 ) @ SY495 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(761,plain,
! [SV49: real] :
( ( ! [SY349: real] :
~ ( ord_less_real @ SY349 @ SV49 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(762,plain,
! [SV117: real,SV50: real] :
( ( ! [SY498: real > nat,SY499: nat] :
( ~ ( ord_less_real @ SV50 @ SV117 )
| ( ( SY498 @ SV117 )
!= SY499 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SY498 @ SX4 ) @ ( SY498 @ SX5 ) ) )
| ( ord_less_nat @ ( SY498 @ SV50 ) @ SY499 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(763,plain,
! [SV118: real,SV51: real] :
( ( ! [SY502: real] :
( ~ ( ord_less_real @ SV51 @ SV118 )
| ( SV118 != SY502 )
| ( ord_less_real @ SV51 @ SY502 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(764,plain,
! [SV52: real] :
( ( ! [SY357: real] :
~ ( ord_less_real @ SV52 @ SY357 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(765,plain,
( ( ~ ! [SY503: real] :
( ( ( poly_real2 @ p @ SY503 )
!= zero_zero_real )
| ( ord_less_real @ sK3_SX0 @ SY503 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[667]) ).
thf(766,plain,
! [SV119: real,SV53: real] :
( ( ! [SY504: real] :
( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SY504 ) )
= ( ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SY504 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(767,plain,
! [SV120: real,SV54: real] :
( ( ~ ( ord_less_real @ SV54 @ SV120 )
| ( SV120 != SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(768,plain,
! [SV121: nat > real,SV55: real] :
( ( ! [SY505: nat,SY506: nat] :
( ~ ( ord_less_real @ SV55 @ ( SV121 @ SY505 ) )
| ~ ( ord_less_eq_nat @ SY505 @ SY506 )
| ~ ! [SY507: nat,SY508: nat] :
( ~ ( ord_less_eq_nat @ SY507 @ SY508 )
| ( ord_less_eq_real @ ( SV121 @ SY507 ) @ ( SV121 @ SY508 ) ) )
| ( ord_less_real @ SV55 @ ( SV121 @ SY506 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(769,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
= ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(770,plain,
! [SV123: real,SV57: poly_real] :
( ( ~ ( ( SV57 != zero_zero_poly_real ) )
| ~ ! [SY509: real] :
( ~ ( ord_less_real @ SV123 @ SY509 )
| ~ ! [SY510: real] :
( ~ ~ ( ~ ( ord_less_real @ SV123 @ SY510 )
| ~ ( ord_less_eq_real @ SY510 @ SY509 ) )
| ( ( poly_real2 @ SV57 @ SY510 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(771,plain,
! [SV124: real,SV58: real] :
( ( ~ ( ( SV58 != SV124 ) )
| ~ ~ ( ord_less_real @ SV58 @ SV124 )
| ( ord_less_real @ SV124 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(772,plain,
! [SV125: real,SV59: real] :
( ( ~ ( ord_less_real @ SV59 @ SV125 )
| ( SV125 != SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(773,plain,
! [SV126: nat > real,SV60: real] :
( ( ! [SY511: nat,SY512: nat] :
( ~ ( ord_less_real @ SV60 @ ( SV126 @ SY511 ) )
| ~ ( ord_less_nat @ SY511 @ SY512 )
| ~ ! [SY513: nat,SY514: nat] :
( ~ ( ord_less_nat @ SY513 @ SY514 )
| ( ord_less_real @ ( SV126 @ SY513 ) @ ( SV126 @ SY514 ) ) )
| ( ord_less_real @ SV60 @ ( SV126 @ SY512 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(774,plain,
! [SV127: real,SV61: real] :
( ( ~ ( ord_less_real @ zero_zero_real @ SV61 )
| ~ ( ord_less_real @ zero_zero_real @ SV127 )
| ~ ! [SY515: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY515 )
| ~ ( ord_less_real @ SY515 @ SV61 ) )
| ~ ( ord_less_real @ SY515 @ SV127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(775,plain,
! [SV128: real,SV62: real] :
( ( ~ ( ord_less_real @ SV62 @ SV128 )
| ~ ! [SY516: real] :
~ ~ ( ~ ( ord_less_real @ SV62 @ SY516 )
| ~ ( ord_less_real @ SY516 @ SV128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(776,plain,
! [SV129: real,SV63: real] :
( ( ~ ( ord_less_real @ SV63 @ SV129 )
| ~ ( ord_less_real @ SV129 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(777,plain,
! [SV130: nat,SV64: nat] :
( ( ! [SY517: nat > real,SY518: real] :
( ~ ( ord_less_nat @ SV64 @ SV130 )
| ~ ( ord_less_real @ ( SY517 @ SV130 ) @ SY518 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SY517 @ SX4 ) @ ( SY517 @ SX5 ) ) )
| ( ord_less_real @ ( SY517 @ SV64 ) @ SY518 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(778,plain,
! [SV131: real,SV65: real] :
( ( ~ ( ord_less_real @ SV65 @ SV131 )
| ( SV65 != SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(779,plain,
! [SV132: real,SV66: real] :
( ( ! [SY521: real] :
( ~ ( ord_less_real @ SV66 @ ( ord_min_real @ SV132 @ SY521 ) )
| ~ ( ~ ( ord_less_real @ SV66 @ SV132 )
| ~ ( ord_less_real @ SV66 @ SY521 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(780,plain,
! [SV133: real,SV67: poly_real] :
( ( ~ ( ( ( poly_real2 @ SV67 @ SV133 )
!= zero_zero_real ) )
| ( ( order_real @ SV133 @ SV67 )
= zero_zero_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(781,plain,
! [SV134: real,SV68: real] :
( ( ~ ( ord_less_real @ SV68 @ SV134 )
| ~ ( ord_less_real @ SV134 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(782,plain,
! [SV135: real,SV69: real] :
( ( ! [SY522: real] :
( ~ ( ord_less_real @ SV69 @ SV135 )
| ~ ( ord_less_real @ SY522 @ SV69 )
| ( ord_less_real @ SY522 @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(783,plain,
! [SV136: real,SV70: real] :
( ( ! [SY523: poly_real] :
( ~ ( ord_less_real @ SV70 @ SV136 )
| ~ ( ord_less_real @ ( poly_real2 @ SY523 @ SV70 ) @ zero_zero_real )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY523 @ SV136 ) )
| ~ ! [SY524: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV70 @ SY524 )
| ~ ( ord_less_real @ SY524 @ SV136 ) )
| ( ( poly_real2 @ SY523 @ SY524 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(784,plain,
! [SV137: real,SV71: real] :
( ( ~ ( ord_less_real @ SV71 @ SV137 )
| ~ ( ord_less_real @ SV137 @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(785,plain,
! [SV138: real,SV72: real] :
( ( ! [SY525: real > nat,SY526: nat] :
( ~ ( ord_less_real @ SV72 @ SV138 )
| ~ ( ord_less_nat @ ( SY525 @ SV138 ) @ SY526 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SY525 @ SX4 ) @ ( SY525 @ SX5 ) ) )
| ( ord_less_nat @ ( SY525 @ SV72 ) @ SY526 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(786,plain,
! [SV139: real,SV73: real] :
( ( ! [SY529: real] :
( ~ ( ord_less_real @ SV73 @ SV139 )
| ( ord_less_real @ ( ord_min_real @ SV73 @ SY529 ) @ SV139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(787,plain,
! [SV140: real,SV74: real > real > $o] :
( ( ! [SY530: real] :
( ~ ! [SY407: real,SY408: real] :
( ~ ( ord_less_real @ SY407 @ SY408 )
| ( SV74 @ SY407 @ SY408 ) )
| ~ ! [SY409: real] : ( SV74 @ SY409 @ SY409 )
| ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SY530 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(788,plain,
! [SV141: nat,SV75: nat] :
( ( ! [SY536: nat > real,SY537: real] :
( ~ ( ord_less_eq_nat @ SV75 @ SV141 )
| ~ ( ord_less_real @ ( SY536 @ SV141 ) @ SY537 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SY536 @ SX4 ) @ ( SY536 @ SX5 ) ) )
| ( ord_less_real @ ( SY536 @ SV75 ) @ SY537 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(789,plain,
! [SV142: real,SV76: real] :
( ( ! [SY540: real > real,SY541: real] :
( ~ ( ord_less_eq_real @ SV76 @ SV142 )
| ~ ( ord_less_real @ ( SY540 @ SV142 ) @ SY541 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_eq_real @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SY540 @ SX4 ) @ ( SY540 @ SX5 ) ) )
| ( ord_less_real @ ( SY540 @ SV76 ) @ SY541 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(790,plain,
! [SV143: real > nat,SV77: nat] :
( ( ! [SY544: real,SY545: real] :
( ( SV77
!= ( SV143 @ SY544 ) )
| ~ ( ord_less_real @ SY544 @ SY545 )
| ~ ! [SY546: real,SY547: real] :
( ~ ( ord_less_real @ SY546 @ SY547 )
| ( ord_less_nat @ ( SV143 @ SY546 ) @ ( SV143 @ SY547 ) ) )
| ( ord_less_nat @ SV77 @ ( SV143 @ SY545 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(791,plain,
! [SV144: real > real,SV78: real] :
( ( ! [SY548: real,SY549: real] :
( ~ ( ord_less_real @ SV78 @ ( SV144 @ SY548 ) )
| ~ ( ord_less_real @ SY548 @ SY549 )
| ~ ! [SY550: real,SY551: real] :
( ~ ( ord_less_real @ SY550 @ SY551 )
| ( ord_less_real @ ( SV144 @ SY550 ) @ ( SV144 @ SY551 ) ) )
| ( ord_less_real @ SV78 @ ( SV144 @ SY549 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(792,plain,
! [SV145: real,SV79: real] :
( ( ~ ( ( SV79 != SV145 ) )
| ~ ~ ( ord_less_real @ SV79 @ SV145 )
| ( ord_less_real @ SV145 @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(793,plain,
! [SV146: real,SV80: real] :
( ( ! [SY552: real] :
( ~ ( ord_less_real @ SV80 @ SV146 )
| ( ord_less_real @ ( ord_min_real @ SY552 @ SV80 ) @ SV146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(794,plain,
! [SV147: real,SV81: real] :
( ( ~ ( ord_less_real @ SV81 @ SV147 )
| ~ ( ord_less_real @ SV147 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(795,plain,
! [SV148: real,SV82: poly_real] :
( ( ~ ( ( SV82 != zero_zero_poly_real ) )
| ~ ! [SY553: real] :
( ~ ( ord_less_real @ SY553 @ SV148 )
| ~ ! [SY554: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SY553 @ SY554 )
| ~ ( ord_less_real @ SY554 @ SV148 ) )
| ( ( poly_real2 @ SV82 @ SY554 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(796,plain,
! [SV149: nat > real,SV83: real] :
( ( ! [SY555: nat,SY556: nat] :
( ( SV83
!= ( SV149 @ SY555 ) )
| ~ ( ord_less_nat @ SY555 @ SY556 )
| ~ ! [SY557: nat,SY558: nat] :
( ~ ( ord_less_nat @ SY557 @ SY558 )
| ( ord_less_real @ ( SV149 @ SY557 ) @ ( SV149 @ SY558 ) ) )
| ( ord_less_real @ SV83 @ ( SV149 @ SY556 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(797,plain,
! [SV2: poly_real] :
( ( ( ~ ( ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real )
| ( SV2 = zero_zero_poly_real ) ) )
= $true )
| ( ( ~ ( ~ ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(798,plain,
! [SV3: real] :
( ( ( ~ ( ( zero_zero_real = SV3 )
| ( SV3 = zero_zero_real ) ) )
= $true )
| ( ( ~ ( ( zero_zero_real != SV3 )
| ( SV3 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(799,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ~ ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
| ( SV4 = SV84 ) )
| ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
| ( SV4 != SV84 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[703]) ).
thf(800,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= ( SV4 = SV84 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[703]) ).
thf(801,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
= ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(802,plain,
! [SV6: poly_real] :
( ( ( ~ ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
= zero_zero_real )
| ( SV6 = zero_zero_poly_real ) ) )
= $true )
| ( ( ~ ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
!= zero_zero_real )
| ( SV6 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(803,plain,
! [SV151: nat,SV86: poly_real,SV7: poly_real] :
( ( ! [SY559: nat] :
( ( divide1561404011n_real @ zero_zero_real @ zero_zero_poly_real @ SV7 @ SV86 @ SV151 @ SY559 )
= zero_zero_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(804,plain,
! [SV87: real] :
( ( ! [SV152: real] :
( ( ord_less_eq_real @ SV87 @ SV152 )
= ( ( ord_less_real @ SV87 @ SV152 )
| ( SV87 = SV152 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[708]) ).
thf(805,plain,
! [SV87: real] :
( ( ( ord_less_eq_real @ SV87 )
= ( ^ [SY447: real] :
( ( ord_less_real @ SV87 @ SY447 )
| ( SV87 = SY447 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[708]) ).
thf(806,plain,
! [SV9: real] :
( ( ( ~ ( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
| ( ord_less_eq_real @ zero_zero_real @ SV9 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
| ~ ( ord_less_eq_real @ zero_zero_real @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(807,plain,
! [SV10: real] :
( ( ( ~ ( ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
| ( ord_less_eq_real @ SV10 @ zero_zero_real ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
| ~ ( ord_less_eq_real @ SV10 @ zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(808,plain,
! [SV11: real] :
( ( ( ~ ( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
| ( ord_less_real @ zero_zero_real @ SV11 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
| ~ ( ord_less_real @ zero_zero_real @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(809,plain,
! [SV12: real] :
( ( ( ~ ( ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
| ( ord_less_real @ SV12 @ zero_zero_real ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
| ~ ( ord_less_real @ SV12 @ zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(810,plain,
! [SV13: real] :
( ( ( ~ ( ( ( sgn_sgn_real @ SV13 )
= zero_zero_real )
| ( SV13 = zero_zero_real ) ) )
= $true )
| ( ( ~ ( ( ( sgn_sgn_real @ SV13 )
!= zero_zero_real )
| ( SV13 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(811,plain,
! [SV14: real] :
( ( ( ~ ( ( ( sgn_sgn_real @ SV14 )
= zero_zero_real )
| ( SV14 = zero_zero_real ) ) )
= $true )
| ( ( ~ ( ( ( sgn_sgn_real @ SV14 )
!= zero_zero_real )
| ( SV14 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(812,plain,
! [SV15: real] :
( ( ( ~ ( ( ( sgn_sgn_real @ SV15 )
= zero_zero_real )
| ( SV15 = zero_zero_real ) ) )
= $true )
| ( ( ~ ( ( ( sgn_sgn_real @ SV15 )
!= zero_zero_real )
| ( SV15 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(813,plain,
! [SV88: real,SV16: real] :
( ( ( ( ord_less_real @ SV16 @ SV88 )
| ( SV16 = SV88 ) )
= $true )
| ( ( ord_less_real @ SV88 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[723]) ).
thf(814,plain,
! [SV89: real,SV19: real] :
( ( ~ ( ~ ( ord_less_real @ SV19 @ SV89 )
| ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) )
| ~ ( ~ ~ ( ord_less_real @ SV19 @ SV89 )
| ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[726]) ).
thf(815,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ( ord_less_real @ SV19 @ SV89 ) )
= ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[726]) ).
thf(816,plain,
! [SV90: real] :
( ( ! [SV153: real] :
( ( ord_less_eq_real @ SV90 @ SV153 )
= ( ( ord_less_real @ SV90 @ SV153 )
| ( SV90 = SV153 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[727]) ).
thf(817,plain,
! [SV90: real] :
( ( ( ord_less_eq_real @ SV90 )
= ( ^ [SY448: real] :
( ( ord_less_real @ SV90 @ SY448 )
| ( SV90 = SY448 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[727]) ).
thf(818,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $true )
| ~ ( ~ SV21
| ~ $true ) )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[728]) ).
thf(819,plain,
! [SV21: $o] :
( ( ( SV21 = $true )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[728]) ).
thf(820,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[729]) ).
thf(821,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[729]) ).
thf(822,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[730]) ).
thf(823,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[730]) ).
thf(824,plain,
! [SV154: real,SV91: real > real,SV22: real] :
( ( ! [SY560: real] :
( ( SV22
!= ( SV91 @ SV154 ) )
| ~ ( ord_less_real @ SV154 @ SY560 )
| ~ ! [SY451: real,SY452: real] :
( ~ ( ord_less_real @ SY451 @ SY452 )
| ( ord_less_real @ ( SV91 @ SY451 ) @ ( SV91 @ SY452 ) ) )
| ( ord_less_real @ SV22 @ ( SV91 @ SY560 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(825,plain,
! [SV155: real,SV92: real,SV23: real] :
( ( ( SV23 != SV92 )
| ~ ( ord_less_real @ SV92 @ SV155 )
| ( ord_less_real @ SV23 @ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(826,plain,
! [SV93: real] :
( ( ! [SV156: real] :
( ( ord_less_real @ SV93 @ SV156 )
= ( ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV156 ) )
| ~ ( ( SV93 != SV156 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[733]) ).
thf(827,plain,
! [SV93: real] :
( ( ( ord_less_real @ SV93 )
= ( ^ [SY454: real] :
~ ( ( SV93
!= ( ord_min_real @ SV93 @ SY454 ) )
| ~ ( ( SV93 != SY454 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[733]) ).
thf(828,plain,
! [SV157: real,SV94: real > nat,SV25: nat] :
( ( ! [SY563: real] :
( ~ ( ord_less_nat @ SV25 @ ( SV94 @ SV157 ) )
| ~ ( ord_less_real @ SV157 @ SY563 )
| ~ ! [SY457: real,SY458: real] :
( ~ ( ord_less_real @ SY457 @ SY458 )
| ( ord_less_nat @ ( SV94 @ SY457 ) @ ( SV94 @ SY458 ) ) )
| ( ord_less_nat @ SV25 @ ( SV94 @ SY563 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(829,plain,
! [SV158: real,SV95: real > real,SV26: real] :
( ( ! [SY566: real] :
( ~ ( ord_less_eq_real @ SV26 @ ( SV95 @ SV158 ) )
| ~ ( ord_less_real @ SV158 @ SY566 )
| ~ ! [SY461: real,SY462: real] :
( ~ ( ord_less_real @ SY461 @ SY462 )
| ( ord_less_real @ ( SV95 @ SY461 ) @ ( SV95 @ SY462 ) ) )
| ( ord_less_real @ SV26 @ ( SV95 @ SY566 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(830,plain,
( ( ! [SY463: real] :
( ~ ( ord_less_eq_real @ SY463 @ sK2_SX0 )
| ( ( sgn_sgn_real @ ( poly_real2 @ p @ SY463 ) )
= ( sturm_1076696862f_real @ p ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(831,plain,
! [SV96: real,SV27: real] :
( ( ( ~ ( ord_less_eq_real @ SV27 @ SV96 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV96 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(832,plain,
! [SV97: real,SV28: real] :
( ( ~ ( ( SV28 != SV97 )
| ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) )
| ~ ( ~ ( ( SV28 != SV97 ) )
| ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[738]) ).
thf(833,plain,
! [SV97: real,SV28: real] :
( ( ( SV28 != SV97 )
= ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[738]) ).
thf(834,plain,
! [SV98: real,SV29: real] :
( ( ( ~ ( ord_less_real @ SV29 @ SV98 ) )
= $true )
| ( ( SV29 != SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[739]) ).
thf(835,plain,
! [SV99: real,SV30: real] :
( ( ( ~ ~ ( ord_less_real @ SV30 @ SV99 ) )
= $true )
| ( ( ( ~ ( ord_less_real @ SV99 @ SV30 ) )
= ( SV99 = SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(836,plain,
! [SV100: real,SV31: real] :
( ( ( ~ ( ord_less_real @ SV31 @ SV100 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV100 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(837,plain,
! [SV101: real,SV32: real] :
( ( ( ~ ( ord_less_real @ SV32 @ SV101 ) )
= $true )
| ( ( SV32 != SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(838,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(839,plain,
! [SV160: real > real,SV103: real,SV34: real] :
( ( ! [SY572: real] :
( ~ ( ord_less_real @ SV34 @ SV103 )
| ( ( SV160 @ SV103 )
!= SY572 )
| ~ ! [SY573: real,SY574: real] :
( ~ ( ord_less_real @ SY573 @ SY574 )
| ( ord_less_real @ ( SV160 @ SY573 ) @ ( SV160 @ SY574 ) ) )
| ( ord_less_real @ ( SV160 @ SV34 ) @ SY572 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(840,plain,
! [SV161: real,SV104: real,SV35: real] :
( ( ~ ( ord_less_real @ SV35 @ SV104 )
| ~ ( ord_less_real @ SV104 @ SV161 )
| ( ord_less_real @ SV35 @ SV161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(841,plain,
! [SV105: real,SV36: real] :
( ( ( ~ ~ ( ord_less_real @ SV36 @ SV105 ) )
= $true )
| ( ( ord_less_eq_real @ SV105 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(842,plain,
! [SV162: nat,SV106: nat > real,SV37: real] :
( ( ! [SY575: nat] :
( ~ ( ord_less_eq_real @ SV37 @ ( SV106 @ SV162 ) )
| ~ ( ord_less_nat @ SV162 @ SY575 )
| ~ ! [SY475: nat,SY476: nat] :
( ~ ( ord_less_nat @ SY475 @ SY476 )
| ( ord_less_real @ ( SV106 @ SY475 ) @ ( SV106 @ SY476 ) ) )
| ( ord_less_real @ SV37 @ ( SV106 @ SY575 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(843,plain,
! [SV163: poly_real,SV107: real,SV38: real] :
( ( ~ ( ord_less_real @ SV38 @ SV107 )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
| ~ ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
| ~ ! [SY578: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV38 @ SY578 )
| ~ ( ord_less_real @ SY578 @ SV107 ) )
| ( ( poly_real2 @ SV163 @ SY578 )
!= zero_zero_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(844,plain,
! [SV39: real] :
( ( ( ( poly_real2 @ p @ SV39 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ lb1 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(845,plain,
! [SV164: real,SV108: real > nat,SV40: nat] :
( ( ! [SY579: real] :
( ~ ( ord_less_eq_nat @ SV40 @ ( SV108 @ SV164 ) )
| ~ ( ord_less_real @ SV164 @ SY579 )
| ~ ! [SY481: real,SY482: real] :
( ~ ( ord_less_real @ SY481 @ SY482 )
| ( ord_less_nat @ ( SV108 @ SY481 ) @ ( SV108 @ SY482 ) ) )
| ( ord_less_nat @ SV40 @ ( SV108 @ SY579 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(846,plain,
( ( ( poly_real2 @ p @ sK1_X3 )
= zero_zero_real )
= $true ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(847,plain,
! [SV109: real,SV41: real] :
( ( ( ~ ( ord_less_real @ SV41 @ SV109 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV109 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(848,plain,
! [SV165: real > real,SV110: real,SV42: real] :
( ( ! [SY582: real] :
( ~ ( ord_less_real @ SV42 @ SV110 )
| ~ ( ord_less_real @ ( SV165 @ SV110 ) @ SY582 )
| ~ ! [SY583: real,SY584: real] :
( ~ ( ord_less_real @ SY583 @ SY584 )
| ( ord_less_real @ ( SV165 @ SY583 ) @ ( SV165 @ SY584 ) ) )
| ( ord_less_real @ ( SV165 @ SV42 ) @ SY582 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(849,plain,
! [SV111: real] :
( ( ! [SV166: real] :
( ( ord_less_real @ SV111 @ SV166 )
= ( ~ ( ~ ( ord_less_eq_real @ SV111 @ SV166 )
| ~ ( ( SV111 != SV166 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[755]) ).
thf(850,plain,
! [SV111: real] :
( ( ( ord_less_real @ SV111 )
= ( ^ [SY487: real] :
~ ( ~ ( ord_less_eq_real @ SV111 @ SY487 )
| ~ ( ( SV111 != SY487 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[755]) ).
thf(851,plain,
! [SV167: $o,SV112: real,SV44: real] :
( ( ~ ( ord_less_real @ SV44 @ SV112 )
| ~ ( ord_less_real @ SV112 @ SV44 )
| SV167 )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[756]) ).
thf(852,plain,
! [SV112: real,SV44: real] :
( ( ~ ( ord_less_real @ SV44 @ SV112 )
| ~ ( ord_less_real @ SV112 @ SV44 )
| $true )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[756]) ).
thf(853,plain,
! [SV112: real,SV44: real] :
( ( ~ ( ord_less_real @ SV44 @ SV112 )
| ~ ( ord_less_real @ SV112 @ SV44 )
| $false )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[756]) ).
thf(854,plain,
! [SV113: real,SV45: real] :
( ( ( ~ ~ ( ord_less_real @ SV45 @ SV113 ) )
= $true )
| ( ( ~ ( ( SV45 != SV113 ) )
| ( ord_less_real @ SV113 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[757]) ).
thf(855,plain,
! [SV168: real,SV114: real,SV46: real] :
( ( ~ ( ord_less_real @ SV46 @ SV114 )
| ~ ( ord_less_real @ SV114 @ SV168 )
| ( ord_less_real @ SV46 @ SV168 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[758]) ).
thf(856,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(857,plain,
! [SV170: nat > real,SV116: nat,SV48: nat] :
( ( ! [SY588: real] :
( ~ ( ord_less_nat @ SV48 @ SV116 )
| ( ( SV170 @ SV116 )
!= SY588 )
| ~ ! [SY589: nat,SY590: nat] :
( ~ ( ord_less_nat @ SY589 @ SY590 )
| ( ord_less_real @ ( SV170 @ SY589 ) @ ( SV170 @ SY590 ) ) )
| ( ord_less_real @ ( SV170 @ SV48 ) @ SY588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(858,plain,
! [SV49: real] :
( ( ~ ( ord_less_real @ ( sK4_SY349 @ SV49 ) @ SV49 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[761]) ).
thf(859,plain,
! [SV171: real > nat,SV117: real,SV50: real] :
( ( ! [SY591: nat] :
( ~ ( ord_less_real @ SV50 @ SV117 )
| ( ( SV171 @ SV117 )
!= SY591 )
| ~ ! [SY592: real,SY593: real] :
( ~ ( ord_less_real @ SY592 @ SY593 )
| ( ord_less_nat @ ( SV171 @ SY592 ) @ ( SV171 @ SY593 ) ) )
| ( ord_less_nat @ ( SV171 @ SV50 ) @ SY591 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(860,plain,
! [SV172: real,SV118: real,SV51: real] :
( ( ~ ( ord_less_real @ SV51 @ SV118 )
| ( SV118 != SV172 )
| ( ord_less_real @ SV51 @ SV172 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(861,plain,
! [SV52: real] :
( ( ~ ( ord_less_real @ SV52 @ ( sK5_SY357 @ SV52 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[764]) ).
thf(862,plain,
( ( ! [SY503: real] :
( ( ( poly_real2 @ p @ SY503 )
!= zero_zero_real )
| ( ord_less_real @ sK3_SX0 @ SY503 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(863,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= ( ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(864,plain,
! [SV120: real,SV54: real] :
( ( ( ~ ( ord_less_real @ SV54 @ SV120 ) )
= $true )
| ( ( SV120 != SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(865,plain,
! [SV174: nat,SV121: nat > real,SV55: real] :
( ( ! [SY594: nat] :
( ~ ( ord_less_real @ SV55 @ ( SV121 @ SV174 ) )
| ~ ( ord_less_eq_nat @ SV174 @ SY594 )
| ~ ! [SY507: nat,SY508: nat] :
( ~ ( ord_less_eq_nat @ SY507 @ SY508 )
| ( ord_less_eq_real @ ( SV121 @ SY507 ) @ ( SV121 @ SY508 ) ) )
| ( ord_less_real @ SV55 @ ( SV121 @ SY594 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(866,plain,
! [SV122: real,SV56: poly_real] :
( ( ~ ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
| ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) )
| ~ ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
| ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[769]) ).
thf(867,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
= ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[769]) ).
thf(868,plain,
! [SV123: real,SV57: poly_real] :
( ( ( ~ ( ( SV57 != zero_zero_poly_real ) ) )
= $true )
| ( ( ~ ! [SY509: real] :
( ~ ( ord_less_real @ SV123 @ SY509 )
| ~ ! [SY510: real] :
( ~ ~ ( ~ ( ord_less_real @ SV123 @ SY510 )
| ~ ( ord_less_eq_real @ SY510 @ SY509 ) )
| ( ( poly_real2 @ SV57 @ SY510 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(869,plain,
! [SV124: real,SV58: real] :
( ( ( ~ ( ( SV58 != SV124 ) ) )
= $true )
| ( ( ~ ~ ( ord_less_real @ SV58 @ SV124 )
| ( ord_less_real @ SV124 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(870,plain,
! [SV125: real,SV59: real] :
( ( ( ~ ( ord_less_real @ SV59 @ SV125 ) )
= $true )
| ( ( SV125 != SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(871,plain,
! [SV175: nat,SV126: nat > real,SV60: real] :
( ( ! [SY597: nat] :
( ~ ( ord_less_real @ SV60 @ ( SV126 @ SV175 ) )
| ~ ( ord_less_nat @ SV175 @ SY597 )
| ~ ! [SY513: nat,SY514: nat] :
( ~ ( ord_less_nat @ SY513 @ SY514 )
| ( ord_less_real @ ( SV126 @ SY513 ) @ ( SV126 @ SY514 ) ) )
| ( ord_less_real @ SV60 @ ( SV126 @ SY597 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(872,plain,
! [SV127: real,SV61: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ SV61 ) )
= $true )
| ( ( ~ ( ord_less_real @ zero_zero_real @ SV127 )
| ~ ! [SY515: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY515 )
| ~ ( ord_less_real @ SY515 @ SV61 ) )
| ~ ( ord_less_real @ SY515 @ SV127 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(873,plain,
! [SV128: real,SV62: real] :
( ( ( ~ ( ord_less_real @ SV62 @ SV128 ) )
= $true )
| ( ( ~ ! [SY516: real] :
~ ~ ( ~ ( ord_less_real @ SV62 @ SY516 )
| ~ ( ord_less_real @ SY516 @ SV128 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(874,plain,
! [SV129: real,SV63: real] :
( ( ( ~ ( ord_less_real @ SV63 @ SV129 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV129 @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(875,plain,
! [SV176: nat > real,SV130: nat,SV64: nat] :
( ( ! [SY600: real] :
( ~ ( ord_less_nat @ SV64 @ SV130 )
| ~ ( ord_less_real @ ( SV176 @ SV130 ) @ SY600 )
| ~ ! [SY601: nat,SY602: nat] :
( ~ ( ord_less_nat @ SY601 @ SY602 )
| ( ord_less_real @ ( SV176 @ SY601 ) @ ( SV176 @ SY602 ) ) )
| ( ord_less_real @ ( SV176 @ SV64 ) @ SY600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(876,plain,
! [SV131: real,SV65: real] :
( ( ( ~ ( ord_less_real @ SV65 @ SV131 ) )
= $true )
| ( ( SV65 != SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(877,plain,
! [SV177: real,SV132: real,SV66: real] :
( ( ~ ( ord_less_real @ SV66 @ ( ord_min_real @ SV132 @ SV177 ) )
| ~ ( ~ ( ord_less_real @ SV66 @ SV132 )
| ~ ( ord_less_real @ SV66 @ SV177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(878,plain,
! [SV133: real,SV67: poly_real] :
( ( ( ~ ( ( ( poly_real2 @ SV67 @ SV133 )
!= zero_zero_real ) ) )
= $true )
| ( ( ( order_real @ SV133 @ SV67 )
= zero_zero_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[780]) ).
thf(879,plain,
! [SV134: real,SV68: real] :
( ( ( ~ ( ord_less_real @ SV68 @ SV134 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV134 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(880,plain,
! [SV178: real,SV135: real,SV69: real] :
( ( ~ ( ord_less_real @ SV69 @ SV135 )
| ~ ( ord_less_real @ SV178 @ SV69 )
| ( ord_less_real @ SV178 @ SV135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(881,plain,
! [SV179: poly_real,SV136: real,SV70: real] :
( ( ~ ( ord_less_real @ SV70 @ SV136 )
| ~ ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
| ~ ! [SY603: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV70 @ SY603 )
| ~ ( ord_less_real @ SY603 @ SV136 ) )
| ( ( poly_real2 @ SV179 @ SY603 )
!= zero_zero_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(882,plain,
! [SV137: real,SV71: real] :
( ( ( ~ ( ord_less_real @ SV71 @ SV137 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV137 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[784]) ).
thf(883,plain,
! [SV180: real > nat,SV138: real,SV72: real] :
( ( ! [SY604: nat] :
( ~ ( ord_less_real @ SV72 @ SV138 )
| ~ ( ord_less_nat @ ( SV180 @ SV138 ) @ SY604 )
| ~ ! [SY605: real,SY606: real] :
( ~ ( ord_less_real @ SY605 @ SY606 )
| ( ord_less_nat @ ( SV180 @ SY605 ) @ ( SV180 @ SY606 ) ) )
| ( ord_less_nat @ ( SV180 @ SV72 ) @ SY604 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(884,plain,
! [SV181: real,SV139: real,SV73: real] :
( ( ~ ( ord_less_real @ SV73 @ SV139 )
| ( ord_less_real @ ( ord_min_real @ SV73 @ SV181 ) @ SV139 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(885,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ~ ! [SY407: real,SY408: real] :
( ~ ( ord_less_real @ SY407 @ SY408 )
| ( SV74 @ SY407 @ SY408 ) )
| ~ ! [SY409: real] : ( SV74 @ SY409 @ SY409 )
| ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(886,plain,
! [SV183: nat > real,SV141: nat,SV75: nat] :
( ( ! [SY612: real] :
( ~ ( ord_less_eq_nat @ SV75 @ SV141 )
| ~ ( ord_less_real @ ( SV183 @ SV141 ) @ SY612 )
| ~ ! [SY613: nat,SY614: nat] :
( ~ ( ord_less_eq_nat @ SY613 @ SY614 )
| ( ord_less_eq_real @ ( SV183 @ SY613 ) @ ( SV183 @ SY614 ) ) )
| ( ord_less_real @ ( SV183 @ SV75 ) @ SY612 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(887,plain,
! [SV184: real > real,SV142: real,SV76: real] :
( ( ! [SY615: real] :
( ~ ( ord_less_eq_real @ SV76 @ SV142 )
| ~ ( ord_less_real @ ( SV184 @ SV142 ) @ SY615 )
| ~ ! [SY616: real,SY617: real] :
( ~ ( ord_less_eq_real @ SY616 @ SY617 )
| ( ord_less_eq_real @ ( SV184 @ SY616 ) @ ( SV184 @ SY617 ) ) )
| ( ord_less_real @ ( SV184 @ SV76 ) @ SY615 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(888,plain,
! [SV185: real,SV143: real > nat,SV77: nat] :
( ( ! [SY618: real] :
( ( SV77
!= ( SV143 @ SV185 ) )
| ~ ( ord_less_real @ SV185 @ SY618 )
| ~ ! [SY546: real,SY547: real] :
( ~ ( ord_less_real @ SY546 @ SY547 )
| ( ord_less_nat @ ( SV143 @ SY546 ) @ ( SV143 @ SY547 ) ) )
| ( ord_less_nat @ SV77 @ ( SV143 @ SY618 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(889,plain,
! [SV186: real,SV144: real > real,SV78: real] :
( ( ! [SY621: real] :
( ~ ( ord_less_real @ SV78 @ ( SV144 @ SV186 ) )
| ~ ( ord_less_real @ SV186 @ SY621 )
| ~ ! [SY550: real,SY551: real] :
( ~ ( ord_less_real @ SY550 @ SY551 )
| ( ord_less_real @ ( SV144 @ SY550 ) @ ( SV144 @ SY551 ) ) )
| ( ord_less_real @ SV78 @ ( SV144 @ SY621 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(890,plain,
! [SV145: real,SV79: real] :
( ( ( ~ ( ( SV79 != SV145 ) ) )
= $true )
| ( ( ~ ~ ( ord_less_real @ SV79 @ SV145 )
| ( ord_less_real @ SV145 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(891,plain,
! [SV187: real,SV146: real,SV80: real] :
( ( ~ ( ord_less_real @ SV80 @ SV146 )
| ( ord_less_real @ ( ord_min_real @ SV187 @ SV80 ) @ SV146 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(892,plain,
! [SV147: real,SV81: real] :
( ( ( ~ ( ord_less_real @ SV81 @ SV147 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV147 @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(893,plain,
! [SV148: real,SV82: poly_real] :
( ( ( ~ ( ( SV82 != zero_zero_poly_real ) ) )
= $true )
| ( ( ~ ! [SY553: real] :
( ~ ( ord_less_real @ SY553 @ SV148 )
| ~ ! [SY554: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SY553 @ SY554 )
| ~ ( ord_less_real @ SY554 @ SV148 ) )
| ( ( poly_real2 @ SV82 @ SY554 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(894,plain,
! [SV188: nat,SV149: nat > real,SV83: real] :
( ( ! [SY624: nat] :
( ( SV83
!= ( SV149 @ SV188 ) )
| ~ ( ord_less_nat @ SV188 @ SY624 )
| ~ ! [SY557: nat,SY558: nat] :
( ~ ( ord_less_nat @ SY557 @ SY558 )
| ( ord_less_real @ ( SV149 @ SY557 ) @ ( SV149 @ SY558 ) ) )
| ( ord_less_real @ SV83 @ ( SV149 @ SY624 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(895,plain,
! [SV2: poly_real] :
( ( ( ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real )
| ( SV2 = zero_zero_poly_real ) )
= $false )
| ( ( ~ ( ~ ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(896,plain,
! [SV3: real] :
( ( ( ( zero_zero_real = SV3 )
| ( SV3 = zero_zero_real ) )
= $false )
| ( ( ~ ( ( zero_zero_real != SV3 )
| ( SV3 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(897,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ~ ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
| ( SV4 = SV84 ) ) )
= $true )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
| ( SV4 != SV84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(898,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ~ ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
| ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) )
| ~ ( ~ ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
| ~ ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[801]) ).
thf(899,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
= ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[801]) ).
thf(900,plain,
! [SV6: poly_real] :
( ( ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
= zero_zero_real )
| ( SV6 = zero_zero_poly_real ) )
= $false )
| ( ( ~ ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
!= zero_zero_real )
| ( SV6 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(901,plain,
! [SV189: nat,SV151: nat,SV86: poly_real,SV7: poly_real] :
( ( ( divide1561404011n_real @ zero_zero_real @ zero_zero_poly_real @ SV7 @ SV86 @ SV151 @ SV189 )
= zero_zero_poly_real )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(902,plain,
! [SV190: real,SV87: real] :
( ( ( ord_less_eq_real @ SV87 @ SV190 )
= ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(903,plain,
! [SV9: real] :
( ( ( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
| ( ord_less_eq_real @ zero_zero_real @ SV9 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
| ~ ( ord_less_eq_real @ zero_zero_real @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(904,plain,
! [SV10: real] :
( ( ( ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
| ( ord_less_eq_real @ SV10 @ zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
| ~ ( ord_less_eq_real @ SV10 @ zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(905,plain,
! [SV11: real] :
( ( ( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
| ( ord_less_real @ zero_zero_real @ SV11 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
| ~ ( ord_less_real @ zero_zero_real @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(906,plain,
! [SV12: real] :
( ( ( ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
| ( ord_less_real @ SV12 @ zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
| ~ ( ord_less_real @ SV12 @ zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(907,plain,
! [SV13: real] :
( ( ( ( ( sgn_sgn_real @ SV13 )
= zero_zero_real )
| ( SV13 = zero_zero_real ) )
= $false )
| ( ( ~ ( ( ( sgn_sgn_real @ SV13 )
!= zero_zero_real )
| ( SV13 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(908,plain,
! [SV14: real] :
( ( ( ( ( sgn_sgn_real @ SV14 )
= zero_zero_real )
| ( SV14 = zero_zero_real ) )
= $false )
| ( ( ~ ( ( ( sgn_sgn_real @ SV14 )
!= zero_zero_real )
| ( SV14 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(909,plain,
! [SV15: real] :
( ( ( ( ( sgn_sgn_real @ SV15 )
= zero_zero_real )
| ( SV15 = zero_zero_real ) )
= $false )
| ( ( ~ ( ( ( sgn_sgn_real @ SV15 )
!= zero_zero_real )
| ( SV15 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(910,plain,
! [SV88: real,SV16: real] :
( ( ( ord_less_real @ SV16 @ SV88 )
= $true )
| ( ( SV16 = SV88 )
= $true )
| ( ( ord_less_real @ SV88 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(911,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV19 @ SV89 )
| ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV19 @ SV89 )
| ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(912,plain,
! [SV191: real,SV90: real] :
( ( ( ord_less_eq_real @ SV90 @ SV191 )
= ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(913,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $true ) )
= $true )
| ( ( ~ ( ~ SV21
| ~ $true ) )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(914,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false )
| ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[819]) ).
thf(915,plain,
! [SV21: $o] :
( ( ( SV21 = $false )
= $true )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[819]) ).
thf(916,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[820]) ).
thf(917,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[821]) ).
thf(918,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[821]) ).
thf(919,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(920,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[823]) ).
thf(921,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[823]) ).
thf(922,plain,
! [SV192: real,SV154: real,SV91: real > real,SV22: real] :
( ( ( SV22
!= ( SV91 @ SV154 ) )
| ~ ( ord_less_real @ SV154 @ SV192 )
| ~ ! [SY451: real,SY452: real] :
( ~ ( ord_less_real @ SY451 @ SY452 )
| ( ord_less_real @ ( SV91 @ SY451 ) @ ( SV91 @ SY452 ) ) )
| ( ord_less_real @ SV22 @ ( SV91 @ SV192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(923,plain,
! [SV155: real,SV92: real,SV23: real] :
( ( ( SV23 != SV92 )
= $true )
| ( ( ~ ( ord_less_real @ SV92 @ SV155 )
| ( ord_less_real @ SV23 @ SV155 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[825]) ).
thf(924,plain,
! [SV193: real,SV93: real] :
( ( ( ord_less_real @ SV93 @ SV193 )
= ( ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(925,plain,
! [SV194: real,SV157: real,SV94: real > nat,SV25: nat] :
( ( ~ ( ord_less_nat @ SV25 @ ( SV94 @ SV157 ) )
| ~ ( ord_less_real @ SV157 @ SV194 )
| ~ ! [SY457: real,SY458: real] :
( ~ ( ord_less_real @ SY457 @ SY458 )
| ( ord_less_nat @ ( SV94 @ SY457 ) @ ( SV94 @ SY458 ) ) )
| ( ord_less_nat @ SV25 @ ( SV94 @ SV194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(926,plain,
! [SV195: real,SV158: real,SV95: real > real,SV26: real] :
( ( ~ ( ord_less_eq_real @ SV26 @ ( SV95 @ SV158 ) )
| ~ ( ord_less_real @ SV158 @ SV195 )
| ~ ! [SY461: real,SY462: real] :
( ~ ( ord_less_real @ SY461 @ SY462 )
| ( ord_less_real @ ( SV95 @ SY461 ) @ ( SV95 @ SY462 ) ) )
| ( ord_less_real @ SV26 @ ( SV95 @ SV195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(927,plain,
! [SV196: real] :
( ( ~ ( ord_less_eq_real @ SV196 @ sK2_SX0 )
| ( ( sgn_sgn_real @ ( poly_real2 @ p @ SV196 ) )
= ( sturm_1076696862f_real @ p ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(928,plain,
! [SV96: real,SV27: real] :
( ( ( ord_less_eq_real @ SV27 @ SV96 )
= $false )
| ( ( ~ ( ord_less_real @ SV96 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(929,plain,
! [SV97: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV97 )
| ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV28 != SV97 ) )
| ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[832]) ).
thf(930,plain,
! [SV98: real,SV29: real] :
( ( ( ord_less_real @ SV29 @ SV98 )
= $false )
| ( ( SV29 != SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(931,plain,
! [SV99: real,SV30: real] :
( ( ( ~ ( ord_less_real @ SV30 @ SV99 ) )
= $false )
| ( ( ( ~ ( ord_less_real @ SV99 @ SV30 ) )
= ( SV99 = SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(932,plain,
! [SV100: real,SV31: real] :
( ( ( ord_less_real @ SV31 @ SV100 )
= $false )
| ( ( ~ ( ord_less_real @ SV100 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(933,plain,
! [SV101: real,SV32: real] :
( ( ( ord_less_real @ SV32 @ SV101 )
= $false )
| ( ( SV32 != SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(934,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ~ ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
| ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[838]) ).
thf(935,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[838]) ).
thf(936,plain,
! [SV197: real,SV160: real > real,SV103: real,SV34: real] :
( ( ~ ( ord_less_real @ SV34 @ SV103 )
| ( ( SV160 @ SV103 )
!= SV197 )
| ~ ! [SY573: real,SY574: real] :
( ~ ( ord_less_real @ SY573 @ SY574 )
| ( ord_less_real @ ( SV160 @ SY573 ) @ ( SV160 @ SY574 ) ) )
| ( ord_less_real @ ( SV160 @ SV34 ) @ SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(937,plain,
! [SV161: real,SV104: real,SV35: real] :
( ( ( ~ ( ord_less_real @ SV35 @ SV104 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV104 @ SV161 )
| ( ord_less_real @ SV35 @ SV161 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(938,plain,
! [SV105: real,SV36: real] :
( ( ( ~ ( ord_less_real @ SV36 @ SV105 ) )
= $false )
| ( ( ord_less_eq_real @ SV105 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(939,plain,
! [SV198: nat,SV162: nat,SV106: nat > real,SV37: real] :
( ( ~ ( ord_less_eq_real @ SV37 @ ( SV106 @ SV162 ) )
| ~ ( ord_less_nat @ SV162 @ SV198 )
| ~ ! [SY475: nat,SY476: nat] :
( ~ ( ord_less_nat @ SY475 @ SY476 )
| ( ord_less_real @ ( SV106 @ SY475 ) @ ( SV106 @ SY476 ) ) )
| ( ord_less_real @ SV37 @ ( SV106 @ SV198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(940,plain,
! [SV163: poly_real,SV107: real,SV38: real] :
( ( ( ~ ( ord_less_real @ SV38 @ SV107 ) )
= $true )
| ( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
| ~ ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
| ~ ! [SY578: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV38 @ SY578 )
| ~ ( ord_less_real @ SY578 @ SV107 ) )
| ( ( poly_real2 @ SV163 @ SY578 )
!= zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(941,plain,
! [SV199: real,SV164: real,SV108: real > nat,SV40: nat] :
( ( ~ ( ord_less_eq_nat @ SV40 @ ( SV108 @ SV164 ) )
| ~ ( ord_less_real @ SV164 @ SV199 )
| ~ ! [SY481: real,SY482: real] :
( ~ ( ord_less_real @ SY481 @ SY482 )
| ( ord_less_nat @ ( SV108 @ SY481 ) @ ( SV108 @ SY482 ) ) )
| ( ord_less_nat @ SV40 @ ( SV108 @ SV199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(942,plain,
! [SV109: real,SV41: real] :
( ( ( ord_less_real @ SV41 @ SV109 )
= $false )
| ( ( ~ ( ord_less_real @ SV109 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(943,plain,
! [SV200: real,SV165: real > real,SV110: real,SV42: real] :
( ( ~ ( ord_less_real @ SV42 @ SV110 )
| ~ ( ord_less_real @ ( SV165 @ SV110 ) @ SV200 )
| ~ ! [SY583: real,SY584: real] :
( ~ ( ord_less_real @ SY583 @ SY584 )
| ( ord_less_real @ ( SV165 @ SY583 ) @ ( SV165 @ SY584 ) ) )
| ( ord_less_real @ ( SV165 @ SV42 ) @ SV200 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(944,plain,
! [SV201: real,SV111: real] :
( ( ( ord_less_real @ SV111 @ SV201 )
= ( ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(945,plain,
! [SV167: $o,SV112: real,SV44: real] :
( ( ( ~ ( ord_less_real @ SV44 @ SV112 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV112 @ SV44 )
| SV167 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(946,plain,
! [SV112: real,SV44: real] :
( ( ( ~ ( ord_less_real @ SV44 @ SV112 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV112 @ SV44 )
| $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[852]) ).
thf(947,plain,
! [SV112: real,SV44: real] :
( ( ( ~ ( ord_less_real @ SV44 @ SV112 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV112 @ SV44 )
| $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(948,plain,
! [SV113: real,SV45: real] :
( ( ( ~ ( ord_less_real @ SV45 @ SV113 ) )
= $false )
| ( ( ~ ( ( SV45 != SV113 ) )
| ( ord_less_real @ SV113 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(949,plain,
! [SV168: real,SV114: real,SV46: real] :
( ( ( ~ ( ord_less_real @ SV46 @ SV114 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV114 @ SV168 )
| ( ord_less_real @ SV46 @ SV168 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(950,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ~ ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
| ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[856]) ).
thf(951,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[856]) ).
thf(952,plain,
! [SV202: real,SV170: nat > real,SV116: nat,SV48: nat] :
( ( ~ ( ord_less_nat @ SV48 @ SV116 )
| ( ( SV170 @ SV116 )
!= SV202 )
| ~ ! [SY589: nat,SY590: nat] :
( ~ ( ord_less_nat @ SY589 @ SY590 )
| ( ord_less_real @ ( SV170 @ SY589 ) @ ( SV170 @ SY590 ) ) )
| ( ord_less_real @ ( SV170 @ SV48 ) @ SV202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(953,plain,
! [SV49: real] :
( ( ord_less_real @ ( sK4_SY349 @ SV49 ) @ SV49 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[858]) ).
thf(954,plain,
! [SV203: nat,SV171: real > nat,SV117: real,SV50: real] :
( ( ~ ( ord_less_real @ SV50 @ SV117 )
| ( ( SV171 @ SV117 )
!= SV203 )
| ~ ! [SY592: real,SY593: real] :
( ~ ( ord_less_real @ SY592 @ SY593 )
| ( ord_less_nat @ ( SV171 @ SY592 ) @ ( SV171 @ SY593 ) ) )
| ( ord_less_nat @ ( SV171 @ SV50 ) @ SV203 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(955,plain,
! [SV172: real,SV118: real,SV51: real] :
( ( ( ~ ( ord_less_real @ SV51 @ SV118 ) )
= $true )
| ( ( ( SV118 != SV172 )
| ( ord_less_real @ SV51 @ SV172 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(956,plain,
! [SV52: real] :
( ( ord_less_real @ SV52 @ ( sK5_SY357 @ SV52 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(957,plain,
! [SV204: real] :
( ( ( ( poly_real2 @ p @ SV204 )
!= zero_zero_real )
| ( ord_less_real @ sK3_SX0 @ SV204 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(958,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ~ ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) )
| ~ ( ~ ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[863]) ).
thf(959,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= ( ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[863]) ).
thf(960,plain,
! [SV120: real,SV54: real] :
( ( ( ord_less_real @ SV54 @ SV120 )
= $false )
| ( ( SV120 != SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(961,plain,
! [SV205: nat,SV174: nat,SV121: nat > real,SV55: real] :
( ( ~ ( ord_less_real @ SV55 @ ( SV121 @ SV174 ) )
| ~ ( ord_less_eq_nat @ SV174 @ SV205 )
| ~ ! [SY507: nat,SY508: nat] :
( ~ ( ord_less_eq_nat @ SY507 @ SY508 )
| ( ord_less_eq_real @ ( SV121 @ SY507 ) @ ( SV121 @ SY508 ) ) )
| ( ord_less_real @ SV55 @ ( SV121 @ SV205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(962,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ~ ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
| ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
| ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(963,plain,
! [SV123: real,SV57: poly_real] :
( ( ( SV57 != zero_zero_poly_real )
= $false )
| ( ( ~ ! [SY509: real] :
( ~ ( ord_less_real @ SV123 @ SY509 )
| ~ ! [SY510: real] :
( ~ ~ ( ~ ( ord_less_real @ SV123 @ SY510 )
| ~ ( ord_less_eq_real @ SY510 @ SY509 ) )
| ( ( poly_real2 @ SV57 @ SY510 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(964,plain,
! [SV124: real,SV58: real] :
( ( ( SV58 != SV124 )
= $false )
| ( ( ~ ~ ( ord_less_real @ SV58 @ SV124 )
| ( ord_less_real @ SV124 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(965,plain,
! [SV125: real,SV59: real] :
( ( ( ord_less_real @ SV59 @ SV125 )
= $false )
| ( ( SV125 != SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(966,plain,
! [SV206: nat,SV175: nat,SV126: nat > real,SV60: real] :
( ( ~ ( ord_less_real @ SV60 @ ( SV126 @ SV175 ) )
| ~ ( ord_less_nat @ SV175 @ SV206 )
| ~ ! [SY513: nat,SY514: nat] :
( ~ ( ord_less_nat @ SY513 @ SY514 )
| ( ord_less_real @ ( SV126 @ SY513 ) @ ( SV126 @ SY514 ) ) )
| ( ord_less_real @ SV60 @ ( SV126 @ SV206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(967,plain,
! [SV127: real,SV61: real] :
( ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false )
| ( ( ~ ( ord_less_real @ zero_zero_real @ SV127 )
| ~ ! [SY515: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY515 )
| ~ ( ord_less_real @ SY515 @ SV61 ) )
| ~ ( ord_less_real @ SY515 @ SV127 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(968,plain,
! [SV128: real,SV62: real] :
( ( ( ord_less_real @ SV62 @ SV128 )
= $false )
| ( ( ~ ! [SY516: real] :
~ ~ ( ~ ( ord_less_real @ SV62 @ SY516 )
| ~ ( ord_less_real @ SY516 @ SV128 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(969,plain,
! [SV129: real,SV63: real] :
( ( ( ord_less_real @ SV63 @ SV129 )
= $false )
| ( ( ~ ( ord_less_real @ SV129 @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(970,plain,
! [SV207: real,SV176: nat > real,SV130: nat,SV64: nat] :
( ( ~ ( ord_less_nat @ SV64 @ SV130 )
| ~ ( ord_less_real @ ( SV176 @ SV130 ) @ SV207 )
| ~ ! [SY601: nat,SY602: nat] :
( ~ ( ord_less_nat @ SY601 @ SY602 )
| ( ord_less_real @ ( SV176 @ SY601 ) @ ( SV176 @ SY602 ) ) )
| ( ord_less_real @ ( SV176 @ SV64 ) @ SV207 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(971,plain,
! [SV131: real,SV65: real] :
( ( ( ord_less_real @ SV65 @ SV131 )
= $false )
| ( ( SV65 != SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(972,plain,
! [SV177: real,SV132: real,SV66: real] :
( ( ( ~ ( ord_less_real @ SV66 @ ( ord_min_real @ SV132 @ SV177 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ SV66 @ SV132 )
| ~ ( ord_less_real @ SV66 @ SV177 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(973,plain,
! [SV133: real,SV67: poly_real] :
( ( ( ( poly_real2 @ SV67 @ SV133 )
!= zero_zero_real )
= $false )
| ( ( ( order_real @ SV133 @ SV67 )
= zero_zero_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(974,plain,
! [SV134: real,SV68: real] :
( ( ( ord_less_real @ SV68 @ SV134 )
= $false )
| ( ( ~ ( ord_less_real @ SV134 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(975,plain,
! [SV178: real,SV135: real,SV69: real] :
( ( ( ~ ( ord_less_real @ SV69 @ SV135 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV178 @ SV69 )
| ( ord_less_real @ SV178 @ SV135 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(976,plain,
! [SV179: poly_real,SV136: real,SV70: real] :
( ( ( ~ ( ord_less_real @ SV70 @ SV136 ) )
= $true )
| ( ( ~ ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
| ~ ! [SY603: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV70 @ SY603 )
| ~ ( ord_less_real @ SY603 @ SV136 ) )
| ( ( poly_real2 @ SV179 @ SY603 )
!= zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(977,plain,
! [SV137: real,SV71: real] :
( ( ( ord_less_real @ SV71 @ SV137 )
= $false )
| ( ( ~ ( ord_less_real @ SV137 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(978,plain,
! [SV208: nat,SV180: real > nat,SV138: real,SV72: real] :
( ( ~ ( ord_less_real @ SV72 @ SV138 )
| ~ ( ord_less_nat @ ( SV180 @ SV138 ) @ SV208 )
| ~ ! [SY605: real,SY606: real] :
( ~ ( ord_less_real @ SY605 @ SY606 )
| ( ord_less_nat @ ( SV180 @ SY605 ) @ ( SV180 @ SY606 ) ) )
| ( ord_less_nat @ ( SV180 @ SV72 ) @ SV208 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(979,plain,
! [SV181: real,SV139: real,SV73: real] :
( ( ( ~ ( ord_less_real @ SV73 @ SV139 ) )
= $true )
| ( ( ord_less_real @ ( ord_min_real @ SV73 @ SV181 ) @ SV139 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[884]) ).
thf(980,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ~ ! [SY407: real,SY408: real] :
( ~ ( ord_less_real @ SY407 @ SY408 )
| ( SV74 @ SY407 @ SY408 ) ) )
= $true )
| ( ( ~ ! [SY409: real] : ( SV74 @ SY409 @ SY409 )
| ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(981,plain,
! [SV209: real,SV183: nat > real,SV141: nat,SV75: nat] :
( ( ~ ( ord_less_eq_nat @ SV75 @ SV141 )
| ~ ( ord_less_real @ ( SV183 @ SV141 ) @ SV209 )
| ~ ! [SY613: nat,SY614: nat] :
( ~ ( ord_less_eq_nat @ SY613 @ SY614 )
| ( ord_less_eq_real @ ( SV183 @ SY613 ) @ ( SV183 @ SY614 ) ) )
| ( ord_less_real @ ( SV183 @ SV75 ) @ SV209 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(982,plain,
! [SV210: real,SV184: real > real,SV142: real,SV76: real] :
( ( ~ ( ord_less_eq_real @ SV76 @ SV142 )
| ~ ( ord_less_real @ ( SV184 @ SV142 ) @ SV210 )
| ~ ! [SY616: real,SY617: real] :
( ~ ( ord_less_eq_real @ SY616 @ SY617 )
| ( ord_less_eq_real @ ( SV184 @ SY616 ) @ ( SV184 @ SY617 ) ) )
| ( ord_less_real @ ( SV184 @ SV76 ) @ SV210 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(983,plain,
! [SV211: real,SV185: real,SV143: real > nat,SV77: nat] :
( ( ( SV77
!= ( SV143 @ SV185 ) )
| ~ ( ord_less_real @ SV185 @ SV211 )
| ~ ! [SY546: real,SY547: real] :
( ~ ( ord_less_real @ SY546 @ SY547 )
| ( ord_less_nat @ ( SV143 @ SY546 ) @ ( SV143 @ SY547 ) ) )
| ( ord_less_nat @ SV77 @ ( SV143 @ SV211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(984,plain,
! [SV212: real,SV186: real,SV144: real > real,SV78: real] :
( ( ~ ( ord_less_real @ SV78 @ ( SV144 @ SV186 ) )
| ~ ( ord_less_real @ SV186 @ SV212 )
| ~ ! [SY550: real,SY551: real] :
( ~ ( ord_less_real @ SY550 @ SY551 )
| ( ord_less_real @ ( SV144 @ SY550 ) @ ( SV144 @ SY551 ) ) )
| ( ord_less_real @ SV78 @ ( SV144 @ SV212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(985,plain,
! [SV145: real,SV79: real] :
( ( ( SV79 != SV145 )
= $false )
| ( ( ~ ~ ( ord_less_real @ SV79 @ SV145 )
| ( ord_less_real @ SV145 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(986,plain,
! [SV187: real,SV146: real,SV80: real] :
( ( ( ~ ( ord_less_real @ SV80 @ SV146 ) )
= $true )
| ( ( ord_less_real @ ( ord_min_real @ SV187 @ SV80 ) @ SV146 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[891]) ).
thf(987,plain,
! [SV147: real,SV81: real] :
( ( ( ord_less_real @ SV81 @ SV147 )
= $false )
| ( ( ~ ( ord_less_real @ SV147 @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(988,plain,
! [SV148: real,SV82: poly_real] :
( ( ( SV82 != zero_zero_poly_real )
= $false )
| ( ( ~ ! [SY553: real] :
( ~ ( ord_less_real @ SY553 @ SV148 )
| ~ ! [SY554: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SY553 @ SY554 )
| ~ ( ord_less_real @ SY554 @ SV148 ) )
| ( ( poly_real2 @ SV82 @ SY554 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(989,plain,
! [SV213: nat,SV188: nat,SV149: nat > real,SV83: real] :
( ( ( SV83
!= ( SV149 @ SV188 ) )
| ~ ( ord_less_nat @ SV188 @ SV213 )
| ~ ! [SY557: nat,SY558: nat] :
( ~ ( ord_less_nat @ SY557 @ SY558 )
| ( ord_less_real @ ( SV149 @ SY557 ) @ ( SV149 @ SY558 ) ) )
| ( ord_less_real @ SV83 @ ( SV149 @ SV213 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(990,plain,
! [SV2: poly_real] :
( ( ( ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[895]) ).
thf(991,plain,
! [SV2: poly_real] :
( ( ( SV2 = zero_zero_poly_real )
= $false )
| ( ( ~ ( ~ ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[895]) ).
thf(992,plain,
! [SV3: real] :
( ( ( zero_zero_real = SV3 )
= $false )
| ( ( ~ ( ( zero_zero_real != SV3 )
| ( SV3 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(993,plain,
! [SV3: real] :
( ( ( SV3 = zero_zero_real )
= $false )
| ( ( ~ ( ( zero_zero_real != SV3 )
| ( SV3 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(994,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
| ( SV4 = SV84 ) )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
| ( SV4 != SV84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(995,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ~ ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
| ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
| ~ ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[898]) ).
thf(996,plain,
! [SV6: poly_real] :
( ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
= zero_zero_real )
= $false )
| ( ( ~ ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
!= zero_zero_real )
| ( SV6 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(997,plain,
! [SV6: poly_real] :
( ( ( SV6 = zero_zero_poly_real )
= $false )
| ( ( ~ ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
!= zero_zero_real )
| ( SV6 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(998,plain,
! [SV190: real,SV87: real] :
( ( ~ ( ( ord_less_eq_real @ SV87 @ SV190 )
| ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) )
| ~ ( ~ ( ord_less_eq_real @ SV87 @ SV190 )
| ~ ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[902]) ).
thf(999,plain,
! [SV190: real,SV87: real] :
( ( ( ord_less_eq_real @ SV87 @ SV190 )
= ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[902]) ).
thf(1000,plain,
! [SV9: real] :
( ( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
| ~ ( ord_less_eq_real @ zero_zero_real @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(1001,plain,
! [SV9: real] :
( ( ( ord_less_eq_real @ zero_zero_real @ SV9 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
| ~ ( ord_less_eq_real @ zero_zero_real @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(1002,plain,
! [SV10: real] :
( ( ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
| ~ ( ord_less_eq_real @ SV10 @ zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(1003,plain,
! [SV10: real] :
( ( ( ord_less_eq_real @ SV10 @ zero_zero_real )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
| ~ ( ord_less_eq_real @ SV10 @ zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(1004,plain,
! [SV11: real] :
( ( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
| ~ ( ord_less_real @ zero_zero_real @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(1005,plain,
! [SV11: real] :
( ( ( ord_less_real @ zero_zero_real @ SV11 )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
| ~ ( ord_less_real @ zero_zero_real @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(1006,plain,
! [SV12: real] :
( ( ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
| ~ ( ord_less_real @ SV12 @ zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[906]) ).
thf(1007,plain,
! [SV12: real] :
( ( ( ord_less_real @ SV12 @ zero_zero_real )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
| ~ ( ord_less_real @ SV12 @ zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[906]) ).
thf(1008,plain,
! [SV13: real] :
( ( ( ( sgn_sgn_real @ SV13 )
= zero_zero_real )
= $false )
| ( ( ~ ( ( ( sgn_sgn_real @ SV13 )
!= zero_zero_real )
| ( SV13 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[907]) ).
thf(1009,plain,
! [SV13: real] :
( ( ( SV13 = zero_zero_real )
= $false )
| ( ( ~ ( ( ( sgn_sgn_real @ SV13 )
!= zero_zero_real )
| ( SV13 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[907]) ).
thf(1010,plain,
! [SV14: real] :
( ( ( ( sgn_sgn_real @ SV14 )
= zero_zero_real )
= $false )
| ( ( ~ ( ( ( sgn_sgn_real @ SV14 )
!= zero_zero_real )
| ( SV14 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[908]) ).
thf(1011,plain,
! [SV14: real] :
( ( ( SV14 = zero_zero_real )
= $false )
| ( ( ~ ( ( ( sgn_sgn_real @ SV14 )
!= zero_zero_real )
| ( SV14 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[908]) ).
thf(1012,plain,
! [SV15: real] :
( ( ( ( sgn_sgn_real @ SV15 )
= zero_zero_real )
= $false )
| ( ( ~ ( ( ( sgn_sgn_real @ SV15 )
!= zero_zero_real )
| ( SV15 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(1013,plain,
! [SV15: real] :
( ( ( SV15 = zero_zero_real )
= $false )
| ( ( ~ ( ( ( sgn_sgn_real @ SV15 )
!= zero_zero_real )
| ( SV15 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(1014,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ( ord_less_real @ SV19 @ SV89 )
| ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV19 @ SV89 )
| ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(1015,plain,
! [SV191: real,SV90: real] :
( ( ~ ( ( ord_less_eq_real @ SV90 @ SV191 )
| ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) )
| ~ ( ~ ( ord_less_eq_real @ SV90 @ SV191 )
| ~ ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[912]) ).
thf(1016,plain,
! [SV191: real,SV90: real] :
( ( ( ord_less_eq_real @ SV90 @ SV191 )
= ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[912]) ).
thf(1017,plain,
! [SV21: $o] :
( ( ( SV21
| $true )
= $false )
| ( ( ~ ( ~ SV21
| ~ $true ) )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(1018,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false ) )
= $true )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[914]) ).
thf(1019,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(1020,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[917]) ).
thf(1021,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(1022,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[920]) ).
thf(1023,plain,
! [SV192: real,SV154: real,SV91: real > real,SV22: real] :
( ( ( SV22
!= ( SV91 @ SV154 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV154 @ SV192 )
| ~ ! [SY451: real,SY452: real] :
( ~ ( ord_less_real @ SY451 @ SY452 )
| ( ord_less_real @ ( SV91 @ SY451 ) @ ( SV91 @ SY452 ) ) )
| ( ord_less_real @ SV22 @ ( SV91 @ SV192 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[922]) ).
thf(1024,plain,
! [SV155: real,SV92: real,SV23: real] :
( ( ( SV23 = SV92 )
= $false )
| ( ( ~ ( ord_less_real @ SV92 @ SV155 )
| ( ord_less_real @ SV23 @ SV155 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(1025,plain,
! [SV193: real,SV93: real] :
( ( ~ ( ( ord_less_real @ SV93 @ SV193 )
| ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) )
| ~ ( ~ ( ord_less_real @ SV93 @ SV193 )
| ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[924]) ).
thf(1026,plain,
! [SV193: real,SV93: real] :
( ( ( ord_less_real @ SV93 @ SV193 )
= ( ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[924]) ).
thf(1027,plain,
! [SV194: real,SV157: real,SV94: real > nat,SV25: nat] :
( ( ( ~ ( ord_less_nat @ SV25 @ ( SV94 @ SV157 ) ) )
= $true )
| ( ( ~ ( ord_less_real @ SV157 @ SV194 )
| ~ ! [SY457: real,SY458: real] :
( ~ ( ord_less_real @ SY457 @ SY458 )
| ( ord_less_nat @ ( SV94 @ SY457 ) @ ( SV94 @ SY458 ) ) )
| ( ord_less_nat @ SV25 @ ( SV94 @ SV194 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(1028,plain,
! [SV195: real,SV158: real,SV95: real > real,SV26: real] :
( ( ( ~ ( ord_less_eq_real @ SV26 @ ( SV95 @ SV158 ) ) )
= $true )
| ( ( ~ ( ord_less_real @ SV158 @ SV195 )
| ~ ! [SY461: real,SY462: real] :
( ~ ( ord_less_real @ SY461 @ SY462 )
| ( ord_less_real @ ( SV95 @ SY461 ) @ ( SV95 @ SY462 ) ) )
| ( ord_less_real @ SV26 @ ( SV95 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(1029,plain,
! [SV196: real] :
( ( ( ~ ( ord_less_eq_real @ SV196 @ sK2_SX0 ) )
= $true )
| ( ( ( sgn_sgn_real @ ( poly_real2 @ p @ SV196 ) )
= ( sturm_1076696862f_real @ p ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(1030,plain,
! [SV27: real,SV96: real] :
( ( ( ord_less_real @ SV96 @ SV27 )
= $false )
| ( ( ord_less_eq_real @ SV27 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(1031,plain,
! [SV97: real,SV28: real] :
( ( ( ( SV28 != SV97 )
| ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ( SV28 != SV97 ) )
| ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(1032,plain,
! [SV98: real,SV29: real] :
( ( ( SV29 = SV98 )
= $false )
| ( ( ord_less_real @ SV29 @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(1033,plain,
! [SV99: real,SV30: real] :
( ( ( ord_less_real @ SV30 @ SV99 )
= $true )
| ( ( ( ~ ( ord_less_real @ SV99 @ SV30 ) )
= ( SV99 = SV30 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[931]) ).
thf(1034,plain,
! [SV31: real,SV100: real] :
( ( ( ord_less_real @ SV100 @ SV31 )
= $false )
| ( ( ord_less_real @ SV31 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(1035,plain,
! [SV101: real,SV32: real] :
( ( ( SV32 = SV101 )
= $false )
| ( ( ord_less_real @ SV32 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(1036,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(1037,plain,
! [SV197: real,SV160: real > real,SV103: real,SV34: real] :
( ( ( ~ ( ord_less_real @ SV34 @ SV103 ) )
= $true )
| ( ( ( ( SV160 @ SV103 )
!= SV197 )
| ~ ! [SY573: real,SY574: real] :
( ~ ( ord_less_real @ SY573 @ SY574 )
| ( ord_less_real @ ( SV160 @ SY573 ) @ ( SV160 @ SY574 ) ) )
| ( ord_less_real @ ( SV160 @ SV34 ) @ SV197 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(1038,plain,
! [SV161: real,SV104: real,SV35: real] :
( ( ( ord_less_real @ SV35 @ SV104 )
= $false )
| ( ( ~ ( ord_less_real @ SV104 @ SV161 )
| ( ord_less_real @ SV35 @ SV161 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(1039,plain,
! [SV105: real,SV36: real] :
( ( ( ord_less_real @ SV36 @ SV105 )
= $true )
| ( ( ord_less_eq_real @ SV105 @ SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[938]) ).
thf(1040,plain,
! [SV198: nat,SV162: nat,SV106: nat > real,SV37: real] :
( ( ( ~ ( ord_less_eq_real @ SV37 @ ( SV106 @ SV162 ) ) )
= $true )
| ( ( ~ ( ord_less_nat @ SV162 @ SV198 )
| ~ ! [SY475: nat,SY476: nat] :
( ~ ( ord_less_nat @ SY475 @ SY476 )
| ( ord_less_real @ ( SV106 @ SY475 ) @ ( SV106 @ SY476 ) ) )
| ( ord_less_real @ SV37 @ ( SV106 @ SV198 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(1041,plain,
! [SV163: poly_real,SV107: real,SV38: real] :
( ( ( ord_less_real @ SV38 @ SV107 )
= $false )
| ( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
| ~ ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
| ~ ! [SY578: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV38 @ SY578 )
| ~ ( ord_less_real @ SY578 @ SV107 ) )
| ( ( poly_real2 @ SV163 @ SY578 )
!= zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(1042,plain,
! [SV199: real,SV164: real,SV108: real > nat,SV40: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV40 @ ( SV108 @ SV164 ) ) )
= $true )
| ( ( ~ ( ord_less_real @ SV164 @ SV199 )
| ~ ! [SY481: real,SY482: real] :
( ~ ( ord_less_real @ SY481 @ SY482 )
| ( ord_less_nat @ ( SV108 @ SY481 ) @ ( SV108 @ SY482 ) ) )
| ( ord_less_nat @ SV40 @ ( SV108 @ SV199 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(1043,plain,
! [SV41: real,SV109: real] :
( ( ( ord_less_real @ SV109 @ SV41 )
= $false )
| ( ( ord_less_real @ SV41 @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1044,plain,
! [SV200: real,SV165: real > real,SV110: real,SV42: real] :
( ( ( ~ ( ord_less_real @ SV42 @ SV110 ) )
= $true )
| ( ( ~ ( ord_less_real @ ( SV165 @ SV110 ) @ SV200 )
| ~ ! [SY583: real,SY584: real] :
( ~ ( ord_less_real @ SY583 @ SY584 )
| ( ord_less_real @ ( SV165 @ SY583 ) @ ( SV165 @ SY584 ) ) )
| ( ord_less_real @ ( SV165 @ SV42 ) @ SV200 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(1045,plain,
! [SV201: real,SV111: real] :
( ( ~ ( ( ord_less_real @ SV111 @ SV201 )
| ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) )
| ~ ( ~ ( ord_less_real @ SV111 @ SV201 )
| ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[944]) ).
thf(1046,plain,
! [SV201: real,SV111: real] :
( ( ( ord_less_real @ SV111 @ SV201 )
= ( ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[944]) ).
thf(1047,plain,
! [SV167: $o,SV112: real,SV44: real] :
( ( ( ord_less_real @ SV44 @ SV112 )
= $false )
| ( ( ~ ( ord_less_real @ SV112 @ SV44 )
| SV167 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[945]) ).
thf(1048,plain,
! [SV112: real,SV44: real] :
( ( ( ord_less_real @ SV44 @ SV112 )
= $false )
| ( ( ~ ( ord_less_real @ SV112 @ SV44 )
| $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1049,plain,
! [SV112: real,SV44: real] :
( ( ( ord_less_real @ SV44 @ SV112 )
= $false )
| ( ( ~ ( ord_less_real @ SV112 @ SV44 )
| $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(1050,plain,
! [SV113: real,SV45: real] :
( ( ( ord_less_real @ SV45 @ SV113 )
= $true )
| ( ( ~ ( ( SV45 != SV113 ) )
| ( ord_less_real @ SV113 @ SV45 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[948]) ).
thf(1051,plain,
! [SV168: real,SV114: real,SV46: real] :
( ( ( ord_less_real @ SV46 @ SV114 )
= $false )
| ( ( ~ ( ord_less_real @ SV114 @ SV168 )
| ( ord_less_real @ SV46 @ SV168 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(1052,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(1053,plain,
! [SV202: real,SV170: nat > real,SV116: nat,SV48: nat] :
( ( ( ~ ( ord_less_nat @ SV48 @ SV116 ) )
= $true )
| ( ( ( ( SV170 @ SV116 )
!= SV202 )
| ~ ! [SY589: nat,SY590: nat] :
( ~ ( ord_less_nat @ SY589 @ SY590 )
| ( ord_less_real @ ( SV170 @ SY589 ) @ ( SV170 @ SY590 ) ) )
| ( ord_less_real @ ( SV170 @ SV48 ) @ SV202 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[952]) ).
thf(1054,plain,
! [SV203: nat,SV171: real > nat,SV117: real,SV50: real] :
( ( ( ~ ( ord_less_real @ SV50 @ SV117 ) )
= $true )
| ( ( ( ( SV171 @ SV117 )
!= SV203 )
| ~ ! [SY592: real,SY593: real] :
( ~ ( ord_less_real @ SY592 @ SY593 )
| ( ord_less_nat @ ( SV171 @ SY592 ) @ ( SV171 @ SY593 ) ) )
| ( ord_less_nat @ ( SV171 @ SV50 ) @ SV203 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(1055,plain,
! [SV172: real,SV118: real,SV51: real] :
( ( ( ord_less_real @ SV51 @ SV118 )
= $false )
| ( ( ( SV118 != SV172 )
| ( ord_less_real @ SV51 @ SV172 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(1056,plain,
! [SV204: real] :
( ( ( ( poly_real2 @ p @ SV204 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ sK3_SX0 @ SV204 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(1057,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[958]) ).
thf(1058,plain,
! [SV54: real,SV120: real] :
( ( ( SV120 = SV54 )
= $false )
| ( ( ord_less_real @ SV54 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1059,plain,
! [SV205: nat,SV174: nat,SV121: nat > real,SV55: real] :
( ( ( ~ ( ord_less_real @ SV55 @ ( SV121 @ SV174 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_nat @ SV174 @ SV205 )
| ~ ! [SY507: nat,SY508: nat] :
( ~ ( ord_less_eq_nat @ SY507 @ SY508 )
| ( ord_less_eq_real @ ( SV121 @ SY507 ) @ ( SV121 @ SY508 ) ) )
| ( ord_less_real @ SV55 @ ( SV121 @ SV205 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(1060,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
| ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
| ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(1061,plain,
! [SV123: real,SV57: poly_real] :
( ( ( SV57 = zero_zero_poly_real )
= $true )
| ( ( ~ ! [SY509: real] :
( ~ ( ord_less_real @ SV123 @ SY509 )
| ~ ! [SY510: real] :
( ~ ~ ( ~ ( ord_less_real @ SV123 @ SY510 )
| ~ ( ord_less_eq_real @ SY510 @ SY509 ) )
| ( ( poly_real2 @ SV57 @ SY510 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[963]) ).
thf(1062,plain,
! [SV124: real,SV58: real] :
( ( ( SV58 = SV124 )
= $true )
| ( ( ~ ~ ( ord_less_real @ SV58 @ SV124 )
| ( ord_less_real @ SV124 @ SV58 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(1063,plain,
! [SV59: real,SV125: real] :
( ( ( SV125 = SV59 )
= $false )
| ( ( ord_less_real @ SV59 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1064,plain,
! [SV206: nat,SV175: nat,SV126: nat > real,SV60: real] :
( ( ( ~ ( ord_less_real @ SV60 @ ( SV126 @ SV175 ) ) )
= $true )
| ( ( ~ ( ord_less_nat @ SV175 @ SV206 )
| ~ ! [SY513: nat,SY514: nat] :
( ~ ( ord_less_nat @ SY513 @ SY514 )
| ( ord_less_real @ ( SV126 @ SY513 ) @ ( SV126 @ SY514 ) ) )
| ( ord_less_real @ SV60 @ ( SV126 @ SV206 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(1065,plain,
! [SV61: real,SV127: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ SV127 ) )
= $true )
| ( ( ~ ! [SY515: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY515 )
| ~ ( ord_less_real @ SY515 @ SV61 ) )
| ~ ( ord_less_real @ SY515 @ SV127 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1066,plain,
! [SV128: real,SV62: real] :
( ( ( ! [SY516: real] :
~ ~ ( ~ ( ord_less_real @ SV62 @ SY516 )
| ~ ( ord_less_real @ SY516 @ SV128 ) ) )
= $false )
| ( ( ord_less_real @ SV62 @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(1067,plain,
! [SV63: real,SV129: real] :
( ( ( ord_less_real @ SV129 @ SV63 )
= $false )
| ( ( ord_less_real @ SV63 @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1068,plain,
! [SV207: real,SV176: nat > real,SV130: nat,SV64: nat] :
( ( ( ~ ( ord_less_nat @ SV64 @ SV130 ) )
= $true )
| ( ( ~ ( ord_less_real @ ( SV176 @ SV130 ) @ SV207 )
| ~ ! [SY601: nat,SY602: nat] :
( ~ ( ord_less_nat @ SY601 @ SY602 )
| ( ord_less_real @ ( SV176 @ SY601 ) @ ( SV176 @ SY602 ) ) )
| ( ord_less_real @ ( SV176 @ SV64 ) @ SV207 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(1069,plain,
! [SV131: real,SV65: real] :
( ( ( SV65 = SV131 )
= $false )
| ( ( ord_less_real @ SV65 @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(1070,plain,
! [SV177: real,SV132: real,SV66: real] :
( ( ( ord_less_real @ SV66 @ ( ord_min_real @ SV132 @ SV177 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV66 @ SV132 )
| ~ ( ord_less_real @ SV66 @ SV177 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1071,plain,
! [SV133: real,SV67: poly_real] :
( ( ( ( poly_real2 @ SV67 @ SV133 )
= zero_zero_real )
= $true )
| ( ( ( order_real @ SV133 @ SV67 )
= zero_zero_nat )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[973]) ).
thf(1072,plain,
! [SV68: real,SV134: real] :
( ( ( ord_less_real @ SV134 @ SV68 )
= $false )
| ( ( ord_less_real @ SV68 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1073,plain,
! [SV178: real,SV135: real,SV69: real] :
( ( ( ord_less_real @ SV69 @ SV135 )
= $false )
| ( ( ~ ( ord_less_real @ SV178 @ SV69 )
| ( ord_less_real @ SV178 @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1074,plain,
! [SV179: poly_real,SV136: real,SV70: real] :
( ( ( ord_less_real @ SV70 @ SV136 )
= $false )
| ( ( ~ ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
| ~ ! [SY603: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV70 @ SY603 )
| ~ ( ord_less_real @ SY603 @ SV136 ) )
| ( ( poly_real2 @ SV179 @ SY603 )
!= zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(1075,plain,
! [SV71: real,SV137: real] :
( ( ( ord_less_real @ SV137 @ SV71 )
= $false )
| ( ( ord_less_real @ SV71 @ SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(1076,plain,
! [SV208: nat,SV180: real > nat,SV138: real,SV72: real] :
( ( ( ~ ( ord_less_real @ SV72 @ SV138 ) )
= $true )
| ( ( ~ ( ord_less_nat @ ( SV180 @ SV138 ) @ SV208 )
| ~ ! [SY605: real,SY606: real] :
( ~ ( ord_less_real @ SY605 @ SY606 )
| ( ord_less_nat @ ( SV180 @ SY605 ) @ ( SV180 @ SY606 ) ) )
| ( ord_less_nat @ ( SV180 @ SV72 ) @ SV208 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[978]) ).
thf(1077,plain,
! [SV181: real,SV139: real,SV73: real] :
( ( ( ord_less_real @ SV73 @ SV139 )
= $false )
| ( ( ord_less_real @ ( ord_min_real @ SV73 @ SV181 ) @ SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1078,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ! [SY407: real,SY408: real] :
( ~ ( ord_less_real @ SY407 @ SY408 )
| ( SV74 @ SY407 @ SY408 ) ) )
= $false )
| ( ( ~ ! [SY409: real] : ( SV74 @ SY409 @ SY409 )
| ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1079,plain,
! [SV209: real,SV183: nat > real,SV141: nat,SV75: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV75 @ SV141 ) )
= $true )
| ( ( ~ ( ord_less_real @ ( SV183 @ SV141 ) @ SV209 )
| ~ ! [SY613: nat,SY614: nat] :
( ~ ( ord_less_eq_nat @ SY613 @ SY614 )
| ( ord_less_eq_real @ ( SV183 @ SY613 ) @ ( SV183 @ SY614 ) ) )
| ( ord_less_real @ ( SV183 @ SV75 ) @ SV209 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1080,plain,
! [SV210: real,SV184: real > real,SV142: real,SV76: real] :
( ( ( ~ ( ord_less_eq_real @ SV76 @ SV142 ) )
= $true )
| ( ( ~ ( ord_less_real @ ( SV184 @ SV142 ) @ SV210 )
| ~ ! [SY616: real,SY617: real] :
( ~ ( ord_less_eq_real @ SY616 @ SY617 )
| ( ord_less_eq_real @ ( SV184 @ SY616 ) @ ( SV184 @ SY617 ) ) )
| ( ord_less_real @ ( SV184 @ SV76 ) @ SV210 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[982]) ).
thf(1081,plain,
! [SV211: real,SV185: real,SV143: real > nat,SV77: nat] :
( ( ( SV77
!= ( SV143 @ SV185 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV185 @ SV211 )
| ~ ! [SY546: real,SY547: real] :
( ~ ( ord_less_real @ SY546 @ SY547 )
| ( ord_less_nat @ ( SV143 @ SY546 ) @ ( SV143 @ SY547 ) ) )
| ( ord_less_nat @ SV77 @ ( SV143 @ SV211 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1082,plain,
! [SV212: real,SV186: real,SV144: real > real,SV78: real] :
( ( ( ~ ( ord_less_real @ SV78 @ ( SV144 @ SV186 ) ) )
= $true )
| ( ( ~ ( ord_less_real @ SV186 @ SV212 )
| ~ ! [SY550: real,SY551: real] :
( ~ ( ord_less_real @ SY550 @ SY551 )
| ( ord_less_real @ ( SV144 @ SY550 ) @ ( SV144 @ SY551 ) ) )
| ( ord_less_real @ SV78 @ ( SV144 @ SV212 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[984]) ).
thf(1083,plain,
! [SV145: real,SV79: real] :
( ( ( SV79 = SV145 )
= $true )
| ( ( ~ ~ ( ord_less_real @ SV79 @ SV145 )
| ( ord_less_real @ SV145 @ SV79 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1084,plain,
! [SV187: real,SV146: real,SV80: real] :
( ( ( ord_less_real @ SV80 @ SV146 )
= $false )
| ( ( ord_less_real @ ( ord_min_real @ SV187 @ SV80 ) @ SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1085,plain,
! [SV81: real,SV147: real] :
( ( ( ord_less_real @ SV147 @ SV81 )
= $false )
| ( ( ord_less_real @ SV81 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1086,plain,
! [SV148: real,SV82: poly_real] :
( ( ( SV82 = zero_zero_poly_real )
= $true )
| ( ( ~ ! [SY553: real] :
( ~ ( ord_less_real @ SY553 @ SV148 )
| ~ ! [SY554: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SY553 @ SY554 )
| ~ ( ord_less_real @ SY554 @ SV148 ) )
| ( ( poly_real2 @ SV82 @ SY554 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[988]) ).
thf(1087,plain,
! [SV213: nat,SV188: nat,SV149: nat > real,SV83: real] :
( ( ( SV83
!= ( SV149 @ SV188 ) )
= $true )
| ( ( ~ ( ord_less_nat @ SV188 @ SV213 )
| ~ ! [SY557: nat,SY558: nat] :
( ~ ( ord_less_nat @ SY557 @ SY558 )
| ( ord_less_real @ ( SV149 @ SY557 ) @ ( SV149 @ SY558 ) ) )
| ( ord_less_real @ SV83 @ ( SV149 @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1088,plain,
! [SV2: poly_real] :
( ( ( ( poly_real2 @ SV2 @ ( sK6_SY266 @ SV2 ) )
= zero_zero_real )
= $false )
| ( ( ~ ( ~ ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[990]) ).
thf(1089,plain,
! [SV2: poly_real] :
( ( ( ~ ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) )
= $false )
| ( ( SV2 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1090,plain,
! [SV3: real] :
( ( ( ( zero_zero_real != SV3 )
| ( SV3 != zero_zero_real ) )
= $false )
| ( ( zero_zero_real = SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1091,plain,
! [SV3: real] :
( ( ( ( zero_zero_real != SV3 )
| ( SV3 != zero_zero_real ) )
= $false )
| ( ( SV3 = zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1092,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
| ( SV4 != SV84 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[994]) ).
thf(1093,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( SV4 = SV84 )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
| ( SV4 != SV84 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[994]) ).
thf(1094,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
| ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
| ~ ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1095,plain,
! [SV6: poly_real] :
( ( ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
!= zero_zero_real )
| ( SV6 != zero_zero_poly_real ) )
= $false )
| ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1096,plain,
! [SV6: poly_real] :
( ( ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
!= zero_zero_real )
| ( SV6 != zero_zero_poly_real ) )
= $false )
| ( ( SV6 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1097,plain,
! [SV190: real,SV87: real] :
( ( ( ~ ( ( ord_less_eq_real @ SV87 @ SV190 )
| ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV87 @ SV190 )
| ~ ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[998]) ).
thf(1098,plain,
! [SV9: real] :
( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
| ~ ( ord_less_eq_real @ zero_zero_real @ SV9 ) )
= $false )
| ( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1099,plain,
! [SV9: real] :
( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
| ~ ( ord_less_eq_real @ zero_zero_real @ SV9 ) )
= $false )
| ( ( ord_less_eq_real @ zero_zero_real @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1100,plain,
! [SV10: real] :
( ( ( ~ ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
| ~ ( ord_less_eq_real @ SV10 @ zero_zero_real ) )
= $false )
| ( ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1101,plain,
! [SV10: real] :
( ( ( ~ ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
| ~ ( ord_less_eq_real @ SV10 @ zero_zero_real ) )
= $false )
| ( ( ord_less_eq_real @ SV10 @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1102,plain,
! [SV11: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
| ~ ( ord_less_real @ zero_zero_real @ SV11 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1103,plain,
! [SV11: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
| ~ ( ord_less_real @ zero_zero_real @ SV11 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1104,plain,
! [SV12: real] :
( ( ( ~ ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
| ~ ( ord_less_real @ SV12 @ zero_zero_real ) )
= $false )
| ( ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1105,plain,
! [SV12: real] :
( ( ( ~ ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
| ~ ( ord_less_real @ SV12 @ zero_zero_real ) )
= $false )
| ( ( ord_less_real @ SV12 @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1106,plain,
! [SV13: real] :
( ( ( ( ( sgn_sgn_real @ SV13 )
!= zero_zero_real )
| ( SV13 != zero_zero_real ) )
= $false )
| ( ( ( sgn_sgn_real @ SV13 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1107,plain,
! [SV13: real] :
( ( ( ( ( sgn_sgn_real @ SV13 )
!= zero_zero_real )
| ( SV13 != zero_zero_real ) )
= $false )
| ( ( SV13 = zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1108,plain,
! [SV14: real] :
( ( ( ( ( sgn_sgn_real @ SV14 )
!= zero_zero_real )
| ( SV14 != zero_zero_real ) )
= $false )
| ( ( ( sgn_sgn_real @ SV14 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1109,plain,
! [SV14: real] :
( ( ( ( ( sgn_sgn_real @ SV14 )
!= zero_zero_real )
| ( SV14 != zero_zero_real ) )
= $false )
| ( ( SV14 = zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1110,plain,
! [SV15: real] :
( ( ( ( ( sgn_sgn_real @ SV15 )
!= zero_zero_real )
| ( SV15 != zero_zero_real ) )
= $false )
| ( ( ( sgn_sgn_real @ SV15 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1111,plain,
! [SV15: real] :
( ( ( ( ( sgn_sgn_real @ SV15 )
!= zero_zero_real )
| ( SV15 != zero_zero_real ) )
= $false )
| ( ( SV15 = zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1112,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ( ord_less_real @ SV19 @ SV89 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV19 @ SV89 )
| ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1014]) ).
thf(1113,plain,
! [SV19: real,SV89: real] :
( ( ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV19 @ SV89 )
| ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1014]) ).
thf(1114,plain,
! [SV191: real,SV90: real] :
( ( ( ~ ( ( ord_less_eq_real @ SV90 @ SV191 )
| ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV90 @ SV191 )
| ~ ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1015]) ).
thf(1115,plain,
! [SV21: $o] :
( ( SV21 = $false )
| ( ( ~ ( ~ SV21
| ~ $true ) )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1116,plain,
! [SV21: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV21
| ~ $true ) )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1117,plain,
! [SV21: $o] :
( ( ( SV21
| $false )
= $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1118,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1119,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1120,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1121,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1122,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1123,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1124,plain,
! [SV192: real,SV154: real,SV91: real > real,SV22: real] :
( ( ( SV22
= ( SV91 @ SV154 ) )
= $false )
| ( ( ~ ( ord_less_real @ SV154 @ SV192 )
| ~ ! [SY451: real,SY452: real] :
( ~ ( ord_less_real @ SY451 @ SY452 )
| ( ord_less_real @ ( SV91 @ SY451 ) @ ( SV91 @ SY452 ) ) )
| ( ord_less_real @ SV22 @ ( SV91 @ SV192 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1125,plain,
! [SV23: real,SV155: real,SV92: real] :
( ( ( ~ ( ord_less_real @ SV92 @ SV155 ) )
= $true )
| ( ( ord_less_real @ SV23 @ SV155 )
= $true )
| ( ( SV23 = SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1126,plain,
! [SV193: real,SV93: real] :
( ( ( ~ ( ( ord_less_real @ SV93 @ SV193 )
| ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ SV93 @ SV193 )
| ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1025]) ).
thf(1127,plain,
! [SV194: real,SV157: real,SV94: real > nat,SV25: nat] :
( ( ( ord_less_nat @ SV25 @ ( SV94 @ SV157 ) )
= $false )
| ( ( ~ ( ord_less_real @ SV157 @ SV194 )
| ~ ! [SY457: real,SY458: real] :
( ~ ( ord_less_real @ SY457 @ SY458 )
| ( ord_less_nat @ ( SV94 @ SY457 ) @ ( SV94 @ SY458 ) ) )
| ( ord_less_nat @ SV25 @ ( SV94 @ SV194 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1128,plain,
! [SV195: real,SV158: real,SV95: real > real,SV26: real] :
( ( ( ord_less_eq_real @ SV26 @ ( SV95 @ SV158 ) )
= $false )
| ( ( ~ ( ord_less_real @ SV158 @ SV195 )
| ~ ! [SY461: real,SY462: real] :
( ~ ( ord_less_real @ SY461 @ SY462 )
| ( ord_less_real @ ( SV95 @ SY461 ) @ ( SV95 @ SY462 ) ) )
| ( ord_less_real @ SV26 @ ( SV95 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1129,plain,
! [SV196: real] :
( ( ( ord_less_eq_real @ SV196 @ sK2_SX0 )
= $false )
| ( ( ( sgn_sgn_real @ ( poly_real2 @ p @ SV196 ) )
= ( sturm_1076696862f_real @ p ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1130,plain,
! [SV97: real,SV28: real] :
( ( ( SV28 != SV97 )
= $false )
| ( ( ~ ( ~ ( ( SV28 != SV97 ) )
| ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1131,plain,
! [SV97: real,SV28: real] :
( ( ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ( SV28 != SV97 ) )
| ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1132,plain,
! [SV30: real,SV99: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV99 @ SV30 )
| ( SV99 = SV30 ) )
| ~ ( ~ ~ ( ord_less_real @ SV99 @ SV30 )
| ( SV99 != SV30 ) ) )
= $true )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1133,plain,
! [SV30: real,SV99: real] :
( ( ( ( ~ ( ord_less_real @ SV99 @ SV30 ) )
= ( SV99 = SV30 ) )
= $true )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1134,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1135,plain,
! [SV197: real,SV160: real > real,SV103: real,SV34: real] :
( ( ( ord_less_real @ SV34 @ SV103 )
= $false )
| ( ( ( ( SV160 @ SV103 )
!= SV197 )
| ~ ! [SY573: real,SY574: real] :
( ~ ( ord_less_real @ SY573 @ SY574 )
| ( ord_less_real @ ( SV160 @ SY573 ) @ ( SV160 @ SY574 ) ) )
| ( ord_less_real @ ( SV160 @ SV34 ) @ SV197 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1136,plain,
! [SV35: real,SV161: real,SV104: real] :
( ( ( ~ ( ord_less_real @ SV104 @ SV161 ) )
= $true )
| ( ( ord_less_real @ SV35 @ SV161 )
= $true )
| ( ( ord_less_real @ SV35 @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1137,plain,
! [SV198: nat,SV162: nat,SV106: nat > real,SV37: real] :
( ( ( ord_less_eq_real @ SV37 @ ( SV106 @ SV162 ) )
= $false )
| ( ( ~ ( ord_less_nat @ SV162 @ SV198 )
| ~ ! [SY475: nat,SY476: nat] :
( ~ ( ord_less_nat @ SY475 @ SY476 )
| ( ord_less_real @ ( SV106 @ SY475 ) @ ( SV106 @ SY476 ) ) )
| ( ord_less_real @ SV37 @ ( SV106 @ SV198 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1138,plain,
! [SV107: real,SV38: real,SV163: poly_real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) ) )
= $true )
| ( ( ~ ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
| ~ ! [SY578: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV38 @ SY578 )
| ~ ( ord_less_real @ SY578 @ SV107 ) )
| ( ( poly_real2 @ SV163 @ SY578 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1041]) ).
thf(1139,plain,
! [SV199: real,SV164: real,SV108: real > nat,SV40: nat] :
( ( ( ord_less_eq_nat @ SV40 @ ( SV108 @ SV164 ) )
= $false )
| ( ( ~ ( ord_less_real @ SV164 @ SV199 )
| ~ ! [SY481: real,SY482: real] :
( ~ ( ord_less_real @ SY481 @ SY482 )
| ( ord_less_nat @ ( SV108 @ SY481 ) @ ( SV108 @ SY482 ) ) )
| ( ord_less_nat @ SV40 @ ( SV108 @ SV199 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1140,plain,
! [SV200: real,SV165: real > real,SV110: real,SV42: real] :
( ( ( ord_less_real @ SV42 @ SV110 )
= $false )
| ( ( ~ ( ord_less_real @ ( SV165 @ SV110 ) @ SV200 )
| ~ ! [SY583: real,SY584: real] :
( ~ ( ord_less_real @ SY583 @ SY584 )
| ( ord_less_real @ ( SV165 @ SY583 ) @ ( SV165 @ SY584 ) ) )
| ( ord_less_real @ ( SV165 @ SV42 ) @ SV200 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1141,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ( ord_less_real @ SV111 @ SV201 )
| ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ SV111 @ SV201 )
| ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1142,plain,
! [SV167: $o,SV44: real,SV112: real] :
( ( ( ~ ( ord_less_real @ SV112 @ SV44 ) )
= $true )
| ( SV167 = $true )
| ( ( ord_less_real @ SV44 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1047]) ).
thf(1143,plain,
! [SV44: real,SV112: real] :
( ( ( ~ ( ord_less_real @ SV112 @ SV44 ) )
= $true )
| ( $true = $true )
| ( ( ord_less_real @ SV44 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1144,plain,
! [SV44: real,SV112: real] :
( ( ( ~ ( ord_less_real @ SV112 @ SV44 ) )
= $true )
| ( $false = $true )
| ( ( ord_less_real @ SV44 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1145,plain,
! [SV113: real,SV45: real] :
( ( ( ~ ( ( SV45 != SV113 ) ) )
= $true )
| ( ( ord_less_real @ SV113 @ SV45 )
= $true )
| ( ( ord_less_real @ SV45 @ SV113 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1146,plain,
! [SV46: real,SV168: real,SV114: real] :
( ( ( ~ ( ord_less_real @ SV114 @ SV168 ) )
= $true )
| ( ( ord_less_real @ SV46 @ SV168 )
= $true )
| ( ( ord_less_real @ SV46 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1147,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1148,plain,
! [SV202: real,SV170: nat > real,SV116: nat,SV48: nat] :
( ( ( ord_less_nat @ SV48 @ SV116 )
= $false )
| ( ( ( ( SV170 @ SV116 )
!= SV202 )
| ~ ! [SY589: nat,SY590: nat] :
( ~ ( ord_less_nat @ SY589 @ SY590 )
| ( ord_less_real @ ( SV170 @ SY589 ) @ ( SV170 @ SY590 ) ) )
| ( ord_less_real @ ( SV170 @ SV48 ) @ SV202 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1149,plain,
! [SV203: nat,SV171: real > nat,SV117: real,SV50: real] :
( ( ( ord_less_real @ SV50 @ SV117 )
= $false )
| ( ( ( ( SV171 @ SV117 )
!= SV203 )
| ~ ! [SY592: real,SY593: real] :
( ~ ( ord_less_real @ SY592 @ SY593 )
| ( ord_less_nat @ ( SV171 @ SY592 ) @ ( SV171 @ SY593 ) ) )
| ( ord_less_nat @ ( SV171 @ SV50 ) @ SV203 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1150,plain,
! [SV51: real,SV172: real,SV118: real] :
( ( ( SV118 != SV172 )
= $true )
| ( ( ord_less_real @ SV51 @ SV172 )
= $true )
| ( ( ord_less_real @ SV51 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1151,plain,
! [SV204: real] :
( ( ( ( poly_real2 @ p @ SV204 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ sK3_SX0 @ SV204 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1152,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1153,plain,
! [SV205: nat,SV174: nat,SV121: nat > real,SV55: real] :
( ( ( ord_less_real @ SV55 @ ( SV121 @ SV174 ) )
= $false )
| ( ( ~ ( ord_less_eq_nat @ SV174 @ SV205 )
| ~ ! [SY507: nat,SY508: nat] :
( ~ ( ord_less_eq_nat @ SY507 @ SY508 )
| ( ord_less_eq_real @ ( SV121 @ SY507 ) @ ( SV121 @ SY508 ) ) )
| ( ord_less_real @ SV55 @ ( SV121 @ SV205 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1154,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
| ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1155,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
| ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1156,plain,
! [SV57: poly_real,SV123: real] :
( ( ( ! [SY509: real] :
( ~ ( ord_less_real @ SV123 @ SY509 )
| ~ ! [SY510: real] :
( ~ ~ ( ~ ( ord_less_real @ SV123 @ SY510 )
| ~ ( ord_less_eq_real @ SY510 @ SY509 ) )
| ( ( poly_real2 @ SV57 @ SY510 )
!= zero_zero_real ) ) ) )
= $false )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1157,plain,
! [SV124: real,SV58: real] :
( ( ( ~ ~ ( ord_less_real @ SV58 @ SV124 ) )
= $true )
| ( ( ord_less_real @ SV124 @ SV58 )
= $true )
| ( ( SV58 = SV124 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1062]) ).
thf(1158,plain,
! [SV206: nat,SV175: nat,SV126: nat > real,SV60: real] :
( ( ( ord_less_real @ SV60 @ ( SV126 @ SV175 ) )
= $false )
| ( ( ~ ( ord_less_nat @ SV175 @ SV206 )
| ~ ! [SY513: nat,SY514: nat] :
( ~ ( ord_less_nat @ SY513 @ SY514 )
| ( ord_less_real @ ( SV126 @ SY513 ) @ ( SV126 @ SY514 ) ) )
| ( ord_less_real @ SV60 @ ( SV126 @ SV206 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1159,plain,
! [SV61: real,SV127: real] :
( ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ~ ! [SY515: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY515 )
| ~ ( ord_less_real @ SY515 @ SV61 ) )
| ~ ( ord_less_real @ SY515 @ SV127 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1160,plain,
! [SV128: real,SV62: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV62 @ ( sK7_SY516 @ SV128 @ SV62 ) )
| ~ ( ord_less_real @ ( sK7_SY516 @ SV128 @ SV62 ) @ SV128 ) ) )
= $false )
| ( ( ord_less_real @ SV62 @ SV128 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1066]) ).
thf(1161,plain,
! [SV207: real,SV176: nat > real,SV130: nat,SV64: nat] :
( ( ( ord_less_nat @ SV64 @ SV130 )
= $false )
| ( ( ~ ( ord_less_real @ ( SV176 @ SV130 ) @ SV207 )
| ~ ! [SY601: nat,SY602: nat] :
( ~ ( ord_less_nat @ SY601 @ SY602 )
| ( ord_less_real @ ( SV176 @ SY601 ) @ ( SV176 @ SY602 ) ) )
| ( ord_less_real @ ( SV176 @ SV64 ) @ SV207 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1162,plain,
! [SV177: real,SV132: real,SV66: real] :
( ( ( ~ ( ord_less_real @ SV66 @ SV132 )
| ~ ( ord_less_real @ SV66 @ SV177 ) )
= $false )
| ( ( ord_less_real @ SV66 @ ( ord_min_real @ SV132 @ SV177 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1163,plain,
! [SV135: real,SV69: real,SV178: real] :
( ( ( ~ ( ord_less_real @ SV178 @ SV69 ) )
= $true )
| ( ( ord_less_real @ SV178 @ SV135 )
= $true )
| ( ( ord_less_real @ SV69 @ SV135 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1073]) ).
thf(1164,plain,
! [SV136: real,SV70: real,SV179: poly_real] :
( ( ( ~ ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real ) )
= $true )
| ( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
| ~ ! [SY603: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV70 @ SY603 )
| ~ ( ord_less_real @ SY603 @ SV136 ) )
| ( ( poly_real2 @ SV179 @ SY603 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1074]) ).
thf(1165,plain,
! [SV208: nat,SV180: real > nat,SV138: real,SV72: real] :
( ( ( ord_less_real @ SV72 @ SV138 )
= $false )
| ( ( ~ ( ord_less_nat @ ( SV180 @ SV138 ) @ SV208 )
| ~ ! [SY605: real,SY606: real] :
( ~ ( ord_less_real @ SY605 @ SY606 )
| ( ord_less_nat @ ( SV180 @ SY605 ) @ ( SV180 @ SY606 ) ) )
| ( ord_less_nat @ ( SV180 @ SV72 ) @ SV208 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1166,plain,
! [SV74: real > real > $o,SV140: real,SV182: real] :
( ( ( ! [SY663: real] :
( ~ ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ SY663 )
| ( SV74 @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ SY663 ) ) )
= $false )
| ( ( ~ ! [SY409: real] : ( SV74 @ SY409 @ SY409 )
| ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1078]) ).
thf(1167,plain,
! [SV209: real,SV183: nat > real,SV141: nat,SV75: nat] :
( ( ( ord_less_eq_nat @ SV75 @ SV141 )
= $false )
| ( ( ~ ( ord_less_real @ ( SV183 @ SV141 ) @ SV209 )
| ~ ! [SY613: nat,SY614: nat] :
( ~ ( ord_less_eq_nat @ SY613 @ SY614 )
| ( ord_less_eq_real @ ( SV183 @ SY613 ) @ ( SV183 @ SY614 ) ) )
| ( ord_less_real @ ( SV183 @ SV75 ) @ SV209 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1079]) ).
thf(1168,plain,
! [SV210: real,SV184: real > real,SV142: real,SV76: real] :
( ( ( ord_less_eq_real @ SV76 @ SV142 )
= $false )
| ( ( ~ ( ord_less_real @ ( SV184 @ SV142 ) @ SV210 )
| ~ ! [SY616: real,SY617: real] :
( ~ ( ord_less_eq_real @ SY616 @ SY617 )
| ( ord_less_eq_real @ ( SV184 @ SY616 ) @ ( SV184 @ SY617 ) ) )
| ( ord_less_real @ ( SV184 @ SV76 ) @ SV210 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1169,plain,
! [SV211: real,SV185: real,SV143: real > nat,SV77: nat] :
( ( ( SV77
= ( SV143 @ SV185 ) )
= $false )
| ( ( ~ ( ord_less_real @ SV185 @ SV211 )
| ~ ! [SY546: real,SY547: real] :
( ~ ( ord_less_real @ SY546 @ SY547 )
| ( ord_less_nat @ ( SV143 @ SY546 ) @ ( SV143 @ SY547 ) ) )
| ( ord_less_nat @ SV77 @ ( SV143 @ SV211 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1170,plain,
! [SV212: real,SV186: real,SV144: real > real,SV78: real] :
( ( ( ord_less_real @ SV78 @ ( SV144 @ SV186 ) )
= $false )
| ( ( ~ ( ord_less_real @ SV186 @ SV212 )
| ~ ! [SY550: real,SY551: real] :
( ~ ( ord_less_real @ SY550 @ SY551 )
| ( ord_less_real @ ( SV144 @ SY550 ) @ ( SV144 @ SY551 ) ) )
| ( ord_less_real @ SV78 @ ( SV144 @ SV212 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1171,plain,
! [SV145: real,SV79: real] :
( ( ( ~ ~ ( ord_less_real @ SV79 @ SV145 ) )
= $true )
| ( ( ord_less_real @ SV145 @ SV79 )
= $true )
| ( ( SV79 = SV145 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1172,plain,
! [SV82: poly_real,SV148: real] :
( ( ( ! [SY553: real] :
( ~ ( ord_less_real @ SY553 @ SV148 )
| ~ ! [SY554: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SY553 @ SY554 )
| ~ ( ord_less_real @ SY554 @ SV148 ) )
| ( ( poly_real2 @ SV82 @ SY554 )
!= zero_zero_real ) ) ) )
= $false )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1173,plain,
! [SV213: nat,SV188: nat,SV149: nat > real,SV83: real] :
( ( ( SV83
= ( SV149 @ SV188 ) )
= $false )
| ( ( ~ ( ord_less_nat @ SV188 @ SV213 )
| ~ ! [SY557: nat,SY558: nat] :
( ~ ( ord_less_nat @ SY557 @ SY558 )
| ( ord_less_real @ ( SV149 @ SY557 ) @ ( SV149 @ SY558 ) ) )
| ( ord_less_real @ SV83 @ ( SV149 @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1087]) ).
thf(1174,plain,
! [SV2: poly_real] :
( ( ( ~ ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) )
= $false )
| ( ( ( poly_real2 @ SV2 @ ( sK6_SY266 @ SV2 ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1175,plain,
! [SV2: poly_real] :
( ( ( ~ ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real ) )
= $false )
| ( ( SV2 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1176,plain,
! [SV2: poly_real] :
( ( ( SV2 != zero_zero_poly_real )
= $false )
| ( ( SV2 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1177,plain,
! [SV3: real] :
( ( ( zero_zero_real != SV3 )
= $false )
| ( ( zero_zero_real = SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1178,plain,
! [SV3: real] :
( ( ( SV3 != zero_zero_real )
= $false )
| ( ( zero_zero_real = SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1179,plain,
! [SV3: real] :
( ( ( zero_zero_real != SV3 )
= $false )
| ( ( SV3 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1091]) ).
thf(1180,plain,
! [SV3: real] :
( ( ( SV3 != zero_zero_real )
= $false )
| ( ( SV3 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1091]) ).
thf(1181,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ! [SV214: real] :
( ( poly_real2 @ SV4 @ SV214 )
= ( poly_real2 @ SV84 @ SV214 ) ) )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
| ( SV4 != SV84 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1092]) ).
thf(1182,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
| ( SV4 != SV84 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1092]) ).
thf(1183,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
| ( SV4 != SV84 ) )
= $false )
| ( ( SV4 = SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1184,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
| ~ ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1185,plain,
! [SV85: real,SV150: real,SV5: real] :
( ( ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
| ~ ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1186,plain,
! [SV6: poly_real] :
( ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
!= zero_zero_real )
= $false )
| ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1187,plain,
! [SV6: poly_real] :
( ( ( SV6 != zero_zero_poly_real )
= $false )
| ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1188,plain,
! [SV6: poly_real] :
( ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
!= zero_zero_real )
= $false )
| ( ( SV6 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1189,plain,
! [SV6: poly_real] :
( ( ( SV6 != zero_zero_poly_real )
= $false )
| ( ( SV6 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1190,plain,
! [SV190: real,SV87: real] :
( ( ( ( ord_less_eq_real @ SV87 @ SV190 )
| ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV87 @ SV190 )
| ~ ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1191,plain,
! [SV9: real] :
( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) ) )
= $false )
| ( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1192,plain,
! [SV9: real] :
( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ SV9 ) )
= $false )
| ( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1193,plain,
! [SV9: real] :
( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) ) )
= $false )
| ( ( ord_less_eq_real @ zero_zero_real @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1099]) ).
thf(1194,plain,
! [SV9: real] :
( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ SV9 ) )
= $false )
| ( ( ord_less_eq_real @ zero_zero_real @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1099]) ).
thf(1195,plain,
! [SV10: real] :
( ( ( ~ ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real ) )
= $false )
| ( ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1100]) ).
thf(1196,plain,
! [SV10: real] :
( ( ( ~ ( ord_less_eq_real @ SV10 @ zero_zero_real ) )
= $false )
| ( ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1100]) ).
thf(1197,plain,
! [SV10: real] :
( ( ( ~ ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real ) )
= $false )
| ( ( ord_less_eq_real @ SV10 @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1198,plain,
! [SV10: real] :
( ( ( ~ ( ord_less_eq_real @ SV10 @ zero_zero_real ) )
= $false )
| ( ( ord_less_eq_real @ SV10 @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1199,plain,
! [SV11: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1102]) ).
thf(1200,plain,
! [SV11: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ SV11 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1102]) ).
thf(1201,plain,
! [SV11: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1103]) ).
thf(1202,plain,
! [SV11: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ SV11 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1103]) ).
thf(1203,plain,
! [SV12: real] :
( ( ( ~ ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real ) )
= $false )
| ( ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1204,plain,
! [SV12: real] :
( ( ( ~ ( ord_less_real @ SV12 @ zero_zero_real ) )
= $false )
| ( ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1205,plain,
! [SV12: real] :
( ( ( ~ ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real ) )
= $false )
| ( ( ord_less_real @ SV12 @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1105]) ).
thf(1206,plain,
! [SV12: real] :
( ( ( ~ ( ord_less_real @ SV12 @ zero_zero_real ) )
= $false )
| ( ( ord_less_real @ SV12 @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1105]) ).
thf(1207,plain,
! [SV13: real] :
( ( ( ( sgn_sgn_real @ SV13 )
!= zero_zero_real )
= $false )
| ( ( ( sgn_sgn_real @ SV13 )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1208,plain,
! [SV13: real] :
( ( ( SV13 != zero_zero_real )
= $false )
| ( ( ( sgn_sgn_real @ SV13 )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1209,plain,
! [SV13: real] :
( ( ( ( sgn_sgn_real @ SV13 )
!= zero_zero_real )
= $false )
| ( ( SV13 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1210,plain,
! [SV13: real] :
( ( ( SV13 != zero_zero_real )
= $false )
| ( ( SV13 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1211,plain,
! [SV14: real] :
( ( ( ( sgn_sgn_real @ SV14 )
!= zero_zero_real )
= $false )
| ( ( ( sgn_sgn_real @ SV14 )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1108]) ).
thf(1212,plain,
! [SV14: real] :
( ( ( SV14 != zero_zero_real )
= $false )
| ( ( ( sgn_sgn_real @ SV14 )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1108]) ).
thf(1213,plain,
! [SV14: real] :
( ( ( ( sgn_sgn_real @ SV14 )
!= zero_zero_real )
= $false )
| ( ( SV14 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1109]) ).
thf(1214,plain,
! [SV14: real] :
( ( ( SV14 != zero_zero_real )
= $false )
| ( ( SV14 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1109]) ).
thf(1215,plain,
! [SV15: real] :
( ( ( ( sgn_sgn_real @ SV15 )
!= zero_zero_real )
= $false )
| ( ( ( sgn_sgn_real @ SV15 )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1110]) ).
thf(1216,plain,
! [SV15: real] :
( ( ( SV15 != zero_zero_real )
= $false )
| ( ( ( sgn_sgn_real @ SV15 )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1110]) ).
thf(1217,plain,
! [SV15: real] :
( ( ( ( sgn_sgn_real @ SV15 )
!= zero_zero_real )
= $false )
| ( ( SV15 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1218,plain,
! [SV15: real] :
( ( ( SV15 != zero_zero_real )
= $false )
| ( ( SV15 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1219,plain,
! [SV89: real,SV19: real] :
( ( ( ord_less_real @ SV19 @ SV89 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV19 @ SV89 )
| ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1112]) ).
thf(1220,plain,
! [SV19: real,SV89: real] :
( ( ( ord_less_real @ SV89 @ SV19 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV19 @ SV89 )
| ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1221,plain,
! [SV89: real,SV19: real] :
( ( ( SV19 = SV89 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV19 @ SV89 )
| ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1222,plain,
! [SV191: real,SV90: real] :
( ( ( ( ord_less_eq_real @ SV90 @ SV191 )
| ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV90 @ SV191 )
| ~ ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1114]) ).
thf(1223,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $true )
= $false )
| ( SV21 = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1224,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1225,plain,
! [SV21: $o] :
( ( SV21 = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1226,plain,
! [SV21: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1227,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1118]) ).
thf(1228,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1119]) ).
thf(1229,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1230,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1231,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1232,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1233,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1234,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1235,plain,
! [SV22: real,SV91: real > real,SV192: real,SV154: real] :
( ( ( ~ ( ord_less_real @ SV154 @ SV192 ) )
= $true )
| ( ( ~ ! [SY451: real,SY452: real] :
( ~ ( ord_less_real @ SY451 @ SY452 )
| ( ord_less_real @ ( SV91 @ SY451 ) @ ( SV91 @ SY452 ) ) )
| ( ord_less_real @ SV22 @ ( SV91 @ SV192 ) ) )
= $true )
| ( ( SV22
= ( SV91 @ SV154 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1236,plain,
! [SV23: real,SV155: real,SV92: real] :
( ( ( ord_less_real @ SV92 @ SV155 )
= $false )
| ( ( ord_less_real @ SV23 @ SV155 )
= $true )
| ( ( SV23 = SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1237,plain,
! [SV193: real,SV93: real] :
( ( ( ( ord_less_real @ SV93 @ SV193 )
| ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV93 @ SV193 )
| ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1238,plain,
! [SV25: nat,SV94: real > nat,SV194: real,SV157: real] :
( ( ( ~ ( ord_less_real @ SV157 @ SV194 ) )
= $true )
| ( ( ~ ! [SY457: real,SY458: real] :
( ~ ( ord_less_real @ SY457 @ SY458 )
| ( ord_less_nat @ ( SV94 @ SY457 ) @ ( SV94 @ SY458 ) ) )
| ( ord_less_nat @ SV25 @ ( SV94 @ SV194 ) ) )
= $true )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV157 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1127]) ).
thf(1239,plain,
! [SV26: real,SV95: real > real,SV195: real,SV158: real] :
( ( ( ~ ( ord_less_real @ SV158 @ SV195 ) )
= $true )
| ( ( ~ ! [SY461: real,SY462: real] :
( ~ ( ord_less_real @ SY461 @ SY462 )
| ( ord_less_real @ ( SV95 @ SY461 ) @ ( SV95 @ SY462 ) ) )
| ( ord_less_real @ SV26 @ ( SV95 @ SV195 ) ) )
= $true )
| ( ( ord_less_eq_real @ SV26 @ ( SV95 @ SV158 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1128]) ).
thf(1240,plain,
! [SV97: real,SV28: real] :
( ( ( SV28 = SV97 )
= $true )
| ( ( ~ ( ~ ( ( SV28 != SV97 ) )
| ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1130]) ).
thf(1241,plain,
! [SV97: real,SV28: real] :
( ( ( ord_less_real @ SV28 @ SV97 )
= $false )
| ( ( ~ ( ~ ( ( SV28 != SV97 ) )
| ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1242,plain,
! [SV28: real,SV97: real] :
( ( ( ord_less_real @ SV97 @ SV28 )
= $false )
| ( ( ~ ( ~ ( ( SV28 != SV97 ) )
| ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1243,plain,
! [SV30: real,SV99: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV99 @ SV30 )
| ( SV99 = SV30 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV99 @ SV30 )
| ( SV99 != SV30 ) ) )
= $true )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1132]) ).
thf(1244,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1245,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1246,plain,
! [SV34: real,SV197: real,SV103: real,SV160: real > real] :
( ( ( ( SV160 @ SV103 )
!= SV197 )
= $true )
| ( ( ~ ! [SY573: real,SY574: real] :
( ~ ( ord_less_real @ SY573 @ SY574 )
| ( ord_less_real @ ( SV160 @ SY573 ) @ ( SV160 @ SY574 ) ) )
| ( ord_less_real @ ( SV160 @ SV34 ) @ SV197 ) )
= $true )
| ( ( ord_less_real @ SV34 @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1135]) ).
thf(1247,plain,
! [SV35: real,SV161: real,SV104: real] :
( ( ( ord_less_real @ SV104 @ SV161 )
= $false )
| ( ( ord_less_real @ SV35 @ SV161 )
= $true )
| ( ( ord_less_real @ SV35 @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1248,plain,
! [SV37: real,SV106: nat > real,SV198: nat,SV162: nat] :
( ( ( ~ ( ord_less_nat @ SV162 @ SV198 ) )
= $true )
| ( ( ~ ! [SY475: nat,SY476: nat] :
( ~ ( ord_less_nat @ SY475 @ SY476 )
| ( ord_less_real @ ( SV106 @ SY475 ) @ ( SV106 @ SY476 ) ) )
| ( ord_less_real @ SV37 @ ( SV106 @ SV198 ) ) )
= $true )
| ( ( ord_less_eq_real @ SV37 @ ( SV106 @ SV162 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1137]) ).
thf(1249,plain,
! [SV107: real,SV38: real,SV163: poly_real] :
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ~ ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
| ~ ! [SY578: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV38 @ SY578 )
| ~ ( ord_less_real @ SY578 @ SV107 ) )
| ( ( poly_real2 @ SV163 @ SY578 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1250,plain,
! [SV40: nat,SV108: real > nat,SV199: real,SV164: real] :
( ( ( ~ ( ord_less_real @ SV164 @ SV199 ) )
= $true )
| ( ( ~ ! [SY481: real,SY482: real] :
( ~ ( ord_less_real @ SY481 @ SY482 )
| ( ord_less_nat @ ( SV108 @ SY481 ) @ ( SV108 @ SY482 ) ) )
| ( ord_less_nat @ SV40 @ ( SV108 @ SV199 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV40 @ ( SV108 @ SV164 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1251,plain,
! [SV42: real,SV200: real,SV110: real,SV165: real > real] :
( ( ( ~ ( ord_less_real @ ( SV165 @ SV110 ) @ SV200 ) )
= $true )
| ( ( ~ ! [SY583: real,SY584: real] :
( ~ ( ord_less_real @ SY583 @ SY584 )
| ( ord_less_real @ ( SV165 @ SY583 ) @ ( SV165 @ SY584 ) ) )
| ( ord_less_real @ ( SV165 @ SV42 ) @ SV200 ) )
= $true )
| ( ( ord_less_real @ SV42 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1140]) ).
thf(1252,plain,
! [SV201: real,SV111: real] :
( ( ( ( ord_less_real @ SV111 @ SV201 )
| ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV111 @ SV201 )
| ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1253,plain,
! [SV167: $o,SV44: real,SV112: real] :
( ( ( ord_less_real @ SV112 @ SV44 )
= $false )
| ( SV167 = $true )
| ( ( ord_less_real @ SV44 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1142]) ).
thf(1254,plain,
! [SV44: real,SV112: real] :
( ( ( ord_less_real @ SV112 @ SV44 )
= $false )
| ( $true = $true )
| ( ( ord_less_real @ SV44 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1255,plain,
! [SV44: real,SV112: real] :
( ( ( ord_less_real @ SV112 @ SV44 )
= $false )
| ( $false = $true )
| ( ( ord_less_real @ SV44 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1144]) ).
thf(1256,plain,
! [SV113: real,SV45: real] :
( ( ( SV45 != SV113 )
= $false )
| ( ( ord_less_real @ SV113 @ SV45 )
= $true )
| ( ( ord_less_real @ SV45 @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1145]) ).
thf(1257,plain,
! [SV46: real,SV168: real,SV114: real] :
( ( ( ord_less_real @ SV114 @ SV168 )
= $false )
| ( ( ord_less_real @ SV46 @ SV168 )
= $true )
| ( ( ord_less_real @ SV46 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1258,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1147]) ).
thf(1259,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1147]) ).
thf(1260,plain,
! [SV48: nat,SV202: real,SV116: nat,SV170: nat > real] :
( ( ( ( SV170 @ SV116 )
!= SV202 )
= $true )
| ( ( ~ ! [SY589: nat,SY590: nat] :
( ~ ( ord_less_nat @ SY589 @ SY590 )
| ( ord_less_real @ ( SV170 @ SY589 ) @ ( SV170 @ SY590 ) ) )
| ( ord_less_real @ ( SV170 @ SV48 ) @ SV202 ) )
= $true )
| ( ( ord_less_nat @ SV48 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1148]) ).
thf(1261,plain,
! [SV50: real,SV203: nat,SV117: real,SV171: real > nat] :
( ( ( ( SV171 @ SV117 )
!= SV203 )
= $true )
| ( ( ~ ! [SY592: real,SY593: real] :
( ~ ( ord_less_real @ SY592 @ SY593 )
| ( ord_less_nat @ ( SV171 @ SY592 ) @ ( SV171 @ SY593 ) ) )
| ( ord_less_nat @ ( SV171 @ SV50 ) @ SV203 ) )
= $true )
| ( ( ord_less_real @ SV50 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1149]) ).
thf(1262,plain,
! [SV51: real,SV172: real,SV118: real] :
( ( ( SV118 = SV172 )
= $false )
| ( ( ord_less_real @ SV51 @ SV172 )
= $true )
| ( ( ord_less_real @ SV51 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1263,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1152]) ).
thf(1264,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1152]) ).
thf(1265,plain,
! [SV55: real,SV121: nat > real,SV205: nat,SV174: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV174 @ SV205 ) )
= $true )
| ( ( ~ ! [SY507: nat,SY508: nat] :
( ~ ( ord_less_eq_nat @ SY507 @ SY508 )
| ( ord_less_eq_real @ ( SV121 @ SY507 ) @ ( SV121 @ SY508 ) ) )
| ( ord_less_real @ SV55 @ ( SV121 @ SV205 ) ) )
= $true )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV174 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1153]) ).
thf(1266,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
| ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) )
= $false )
| ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1267,plain,
! [SV122: real,SV56: poly_real] :
( ( ( SV56 = zero_zero_poly_real )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
| ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1268,plain,
! [SV56: poly_real,SV122: real] :
( ( ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
| ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1269,plain,
! [SV57: poly_real,SV123: real] :
( ( ( ~ ( ord_less_real @ SV123 @ ( sK9_SY509 @ SV57 @ SV123 ) )
| ~ ! [SY664: real] :
( ~ ~ ( ~ ( ord_less_real @ SV123 @ SY664 )
| ~ ( ord_less_eq_real @ SY664 @ ( sK9_SY509 @ SV57 @ SV123 ) ) )
| ( ( poly_real2 @ SV57 @ SY664 )
!= zero_zero_real ) ) )
= $false )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1156]) ).
thf(1270,plain,
! [SV124: real,SV58: real] :
( ( ( ~ ( ord_less_real @ SV58 @ SV124 ) )
= $false )
| ( ( ord_less_real @ SV124 @ SV58 )
= $true )
| ( ( SV58 = SV124 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1271,plain,
! [SV60: real,SV126: nat > real,SV206: nat,SV175: nat] :
( ( ( ~ ( ord_less_nat @ SV175 @ SV206 ) )
= $true )
| ( ( ~ ! [SY513: nat,SY514: nat] :
( ~ ( ord_less_nat @ SY513 @ SY514 )
| ( ord_less_real @ ( SV126 @ SY513 ) @ ( SV126 @ SY514 ) ) )
| ( ord_less_real @ SV60 @ ( SV126 @ SV206 ) ) )
= $true )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV175 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1158]) ).
thf(1272,plain,
! [SV127: real,SV61: real] :
( ( ( ! [SY515: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY515 )
| ~ ( ord_less_real @ SY515 @ SV61 ) )
| ~ ( ord_less_real @ SY515 @ SV127 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1273,plain,
! [SV128: real,SV62: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV62 @ ( sK7_SY516 @ SV128 @ SV62 ) )
| ~ ( ord_less_real @ ( sK7_SY516 @ SV128 @ SV62 ) @ SV128 ) ) )
= $true )
| ( ( ord_less_real @ SV62 @ SV128 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1274,plain,
! [SV64: nat,SV207: real,SV130: nat,SV176: nat > real] :
( ( ( ~ ( ord_less_real @ ( SV176 @ SV130 ) @ SV207 ) )
= $true )
| ( ( ~ ! [SY601: nat,SY602: nat] :
( ~ ( ord_less_nat @ SY601 @ SY602 )
| ( ord_less_real @ ( SV176 @ SY601 ) @ ( SV176 @ SY602 ) ) )
| ( ord_less_real @ ( SV176 @ SV64 ) @ SV207 ) )
= $true )
| ( ( ord_less_nat @ SV64 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1161]) ).
thf(1275,plain,
! [SV177: real,SV132: real,SV66: real] :
( ( ( ~ ( ord_less_real @ SV66 @ SV132 ) )
= $false )
| ( ( ord_less_real @ SV66 @ ( ord_min_real @ SV132 @ SV177 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1276,plain,
! [SV132: real,SV177: real,SV66: real] :
( ( ( ~ ( ord_less_real @ SV66 @ SV177 ) )
= $false )
| ( ( ord_less_real @ SV66 @ ( ord_min_real @ SV132 @ SV177 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1277,plain,
! [SV135: real,SV69: real,SV178: real] :
( ( ( ord_less_real @ SV178 @ SV69 )
= $false )
| ( ( ord_less_real @ SV178 @ SV135 )
= $true )
| ( ( ord_less_real @ SV69 @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1278,plain,
! [SV136: real,SV70: real,SV179: poly_real] :
( ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
| ~ ! [SY603: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV70 @ SY603 )
| ~ ( ord_less_real @ SY603 @ SV136 ) )
| ( ( poly_real2 @ SV179 @ SY603 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1279,plain,
! [SV72: real,SV208: nat,SV138: real,SV180: real > nat] :
( ( ( ~ ( ord_less_nat @ ( SV180 @ SV138 ) @ SV208 ) )
= $true )
| ( ( ~ ! [SY605: real,SY606: real] :
( ~ ( ord_less_real @ SY605 @ SY606 )
| ( ord_less_nat @ ( SV180 @ SY605 ) @ ( SV180 @ SY606 ) ) )
| ( ord_less_nat @ ( SV180 @ SV72 ) @ SV208 ) )
= $true )
| ( ( ord_less_real @ SV72 @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1165]) ).
thf(1280,plain,
! [SV74: real > real > $o,SV140: real,SV182: real] :
( ( ( ~ ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
| ( SV74 @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) ) )
= $false )
| ( ( ~ ! [SY409: real] : ( SV74 @ SY409 @ SY409 )
| ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1166]) ).
thf(1281,plain,
! [SV75: nat,SV209: real,SV141: nat,SV183: nat > real] :
( ( ( ~ ( ord_less_real @ ( SV183 @ SV141 ) @ SV209 ) )
= $true )
| ( ( ~ ! [SY613: nat,SY614: nat] :
( ~ ( ord_less_eq_nat @ SY613 @ SY614 )
| ( ord_less_eq_real @ ( SV183 @ SY613 ) @ ( SV183 @ SY614 ) ) )
| ( ord_less_real @ ( SV183 @ SV75 ) @ SV209 ) )
= $true )
| ( ( ord_less_eq_nat @ SV75 @ SV141 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1167]) ).
thf(1282,plain,
! [SV76: real,SV210: real,SV142: real,SV184: real > real] :
( ( ( ~ ( ord_less_real @ ( SV184 @ SV142 ) @ SV210 ) )
= $true )
| ( ( ~ ! [SY616: real,SY617: real] :
( ~ ( ord_less_eq_real @ SY616 @ SY617 )
| ( ord_less_eq_real @ ( SV184 @ SY616 ) @ ( SV184 @ SY617 ) ) )
| ( ord_less_real @ ( SV184 @ SV76 ) @ SV210 ) )
= $true )
| ( ( ord_less_eq_real @ SV76 @ SV142 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1168]) ).
thf(1283,plain,
! [SV77: nat,SV143: real > nat,SV211: real,SV185: real] :
( ( ( ~ ( ord_less_real @ SV185 @ SV211 ) )
= $true )
| ( ( ~ ! [SY546: real,SY547: real] :
( ~ ( ord_less_real @ SY546 @ SY547 )
| ( ord_less_nat @ ( SV143 @ SY546 ) @ ( SV143 @ SY547 ) ) )
| ( ord_less_nat @ SV77 @ ( SV143 @ SV211 ) ) )
= $true )
| ( ( SV77
= ( SV143 @ SV185 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1169]) ).
thf(1284,plain,
! [SV78: real,SV144: real > real,SV212: real,SV186: real] :
( ( ( ~ ( ord_less_real @ SV186 @ SV212 ) )
= $true )
| ( ( ~ ! [SY550: real,SY551: real] :
( ~ ( ord_less_real @ SY550 @ SY551 )
| ( ord_less_real @ ( SV144 @ SY550 ) @ ( SV144 @ SY551 ) ) )
| ( ord_less_real @ SV78 @ ( SV144 @ SV212 ) ) )
= $true )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV186 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1170]) ).
thf(1285,plain,
! [SV145: real,SV79: real] :
( ( ( ~ ( ord_less_real @ SV79 @ SV145 ) )
= $false )
| ( ( ord_less_real @ SV145 @ SV79 )
= $true )
| ( ( SV79 = SV145 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1286,plain,
! [SV148: real,SV82: poly_real] :
( ( ( ~ ( ord_less_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SV148 )
| ~ ! [SY665: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SY665 )
| ~ ( ord_less_real @ SY665 @ SV148 ) )
| ( ( poly_real2 @ SV82 @ SY665 )
!= zero_zero_real ) ) )
= $false )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1172]) ).
thf(1287,plain,
! [SV83: real,SV149: nat > real,SV213: nat,SV188: nat] :
( ( ( ~ ( ord_less_nat @ SV188 @ SV213 ) )
= $true )
| ( ( ~ ! [SY557: nat,SY558: nat] :
( ~ ( ord_less_nat @ SY557 @ SY558 )
| ( ord_less_real @ ( SV149 @ SY557 ) @ ( SV149 @ SY558 ) ) )
| ( ord_less_real @ SV83 @ ( SV149 @ SV213 ) ) )
= $true )
| ( ( SV83
= ( SV149 @ SV188 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1173]) ).
thf(1288,plain,
! [SV2: poly_real] :
( ( ( ~ ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real ) )
= $false )
| ( ( ( poly_real2 @ SV2 @ ( sK6_SY266 @ SV2 ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1174]) ).
thf(1289,plain,
! [SV2: poly_real] :
( ( ( SV2 != zero_zero_poly_real )
= $false )
| ( ( ( poly_real2 @ SV2 @ ( sK6_SY266 @ SV2 ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1174]) ).
thf(1290,plain,
! [SV2: poly_real] :
( ( ( ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real ) )
= $true )
| ( ( SV2 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1291,plain,
! [SV2: poly_real] :
( ( ( SV2 = zero_zero_poly_real )
= $true )
| ( ( SV2 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1292,plain,
! [SV3: real] :
( ( ( zero_zero_real = SV3 )
= $true )
| ( ( zero_zero_real = SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1293,plain,
! [SV3: real] :
( ( ( SV3 = zero_zero_real )
= $true )
| ( ( zero_zero_real = SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1294,plain,
! [SV3: real] :
( ( ( zero_zero_real = SV3 )
= $true )
| ( ( SV3 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1179]) ).
thf(1295,plain,
! [SV3: real] :
( ( ( SV3 = zero_zero_real )
= $true )
| ( ( SV3 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1296,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 @ ( sK12_SV214 @ SV84 @ SV4 ) )
= ( poly_real2 @ SV84 @ ( sK12_SV214 @ SV84 @ SV4 ) ) )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
| ( SV4 != SV84 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1181]) ).
thf(1297,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
| ( SV4 != SV84 ) )
= $false )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1298,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
= $false )
| ( ( SV4 = SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1299,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( SV4 != SV84 )
= $false )
| ( ( SV4 = SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1300,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ~ ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
| ~ ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) )
= $false )
| ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1301,plain,
! [SV85: real,SV150: real,SV5: real] :
( ( ( ord_less_real @ SV5 @ SV150 )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
| ~ ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1185]) ).
thf(1302,plain,
! [SV5: real,SV150: real,SV85: real] :
( ( ( ord_less_real @ SV85 @ SV150 )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
| ~ ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1185]) ).
thf(1303,plain,
! [SV6: poly_real] :
( ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1186]) ).
thf(1304,plain,
! [SV6: poly_real] :
( ( ( SV6 = zero_zero_poly_real )
= $true )
| ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1305,plain,
! [SV6: poly_real] :
( ( ( ( poly_real2 @ ( reflect_poly_real @ SV6 ) @ zero_zero_real )
= zero_zero_real )
= $true )
| ( ( SV6 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1188]) ).
thf(1306,plain,
! [SV6: poly_real] :
( ( ( SV6 = zero_zero_poly_real )
= $true )
| ( ( SV6 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1189]) ).
thf(1307,plain,
! [SV190: real,SV87: real] :
( ( ( ord_less_eq_real @ SV87 @ SV190 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV87 @ SV190 )
| ~ ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1190]) ).
thf(1308,plain,
! [SV190: real,SV87: real] :
( ( ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV87 @ SV190 )
| ~ ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1190]) ).
thf(1309,plain,
! [SV9: real] :
( ( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
= $true )
| ( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1191]) ).
thf(1310,plain,
! [SV9: real] :
( ( ( ord_less_eq_real @ zero_zero_real @ SV9 )
= $true )
| ( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1192]) ).
thf(1311,plain,
! [SV9: real] :
( ( ( ord_less_eq_real @ zero_zero_real @ ( sgn_sgn_real @ SV9 ) )
= $true )
| ( ( ord_less_eq_real @ zero_zero_real @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1193]) ).
thf(1312,plain,
! [SV9: real] :
( ( ( ord_less_eq_real @ zero_zero_real @ SV9 )
= $true )
| ( ( ord_less_eq_real @ zero_zero_real @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1194]) ).
thf(1313,plain,
! [SV10: real] :
( ( ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1195]) ).
thf(1314,plain,
! [SV10: real] :
( ( ( ord_less_eq_real @ SV10 @ zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1196]) ).
thf(1315,plain,
! [SV10: real] :
( ( ( ord_less_eq_real @ ( sgn_sgn_real @ SV10 ) @ zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV10 @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1197]) ).
thf(1316,plain,
! [SV10: real] :
( ( ( ord_less_eq_real @ SV10 @ zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV10 @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1317,plain,
! [SV11: real] :
( ( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1318,plain,
! [SV11: real] :
( ( ( ord_less_real @ zero_zero_real @ SV11 )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1200]) ).
thf(1319,plain,
! [SV11: real] :
( ( ( ord_less_real @ zero_zero_real @ ( sgn_sgn_real @ SV11 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1201]) ).
thf(1320,plain,
! [SV11: real] :
( ( ( ord_less_real @ zero_zero_real @ SV11 )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1321,plain,
! [SV12: real] :
( ( ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1203]) ).
thf(1322,plain,
! [SV12: real] :
( ( ( ord_less_real @ SV12 @ zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1323,plain,
! [SV12: real] :
( ( ( ord_less_real @ ( sgn_sgn_real @ SV12 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ SV12 @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1324,plain,
! [SV12: real] :
( ( ( ord_less_real @ SV12 @ zero_zero_real )
= $true )
| ( ( ord_less_real @ SV12 @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1206]) ).
thf(1325,plain,
! [SV13: real] :
( ( ( ( sgn_sgn_real @ SV13 )
= zero_zero_real )
= $true )
| ( ( ( sgn_sgn_real @ SV13 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1207]) ).
thf(1326,plain,
! [SV13: real] :
( ( ( SV13 = zero_zero_real )
= $true )
| ( ( ( sgn_sgn_real @ SV13 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1208]) ).
thf(1327,plain,
! [SV13: real] :
( ( ( ( sgn_sgn_real @ SV13 )
= zero_zero_real )
= $true )
| ( ( SV13 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1328,plain,
! [SV13: real] :
( ( ( SV13 = zero_zero_real )
= $true )
| ( ( SV13 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1329,plain,
! [SV14: real] :
( ( ( ( sgn_sgn_real @ SV14 )
= zero_zero_real )
= $true )
| ( ( ( sgn_sgn_real @ SV14 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1330,plain,
! [SV14: real] :
( ( ( SV14 = zero_zero_real )
= $true )
| ( ( ( sgn_sgn_real @ SV14 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1212]) ).
thf(1331,plain,
! [SV14: real] :
( ( ( ( sgn_sgn_real @ SV14 )
= zero_zero_real )
= $true )
| ( ( SV14 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1213]) ).
thf(1332,plain,
! [SV14: real] :
( ( ( SV14 = zero_zero_real )
= $true )
| ( ( SV14 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1214]) ).
thf(1333,plain,
! [SV15: real] :
( ( ( ( sgn_sgn_real @ SV15 )
= zero_zero_real )
= $true )
| ( ( ( sgn_sgn_real @ SV15 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1215]) ).
thf(1334,plain,
! [SV15: real] :
( ( ( SV15 = zero_zero_real )
= $true )
| ( ( ( sgn_sgn_real @ SV15 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1216]) ).
thf(1335,plain,
! [SV15: real] :
( ( ( ( sgn_sgn_real @ SV15 )
= zero_zero_real )
= $true )
| ( ( SV15 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1336,plain,
! [SV15: real] :
( ( ( SV15 = zero_zero_real )
= $true )
| ( ( SV15 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1337,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ~ ( ord_less_real @ SV19 @ SV89 )
| ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) )
= $false )
| ( ( ord_less_real @ SV19 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1219]) ).
thf(1338,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ~ ( ord_less_real @ SV19 @ SV89 )
| ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) )
= $false )
| ( ( ord_less_real @ SV89 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1220]) ).
thf(1339,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ~ ( ord_less_real @ SV19 @ SV89 )
| ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) )
= $false )
| ( ( SV19 = SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1340,plain,
! [SV191: real,SV90: real] :
( ( ( ord_less_eq_real @ SV90 @ SV191 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV90 @ SV191 )
| ~ ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1222]) ).
thf(1341,plain,
! [SV191: real,SV90: real] :
( ( ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV90 @ SV191 )
| ~ ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1222]) ).
thf(1342,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( SV21 = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1223]) ).
thf(1343,plain,
! [SV21: $o] :
( ( ( ~ $true ) = $false )
| ( SV21 = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1223]) ).
thf(1344,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( $true = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1345,plain,
! [SV21: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1346,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( SV21 = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1225]) ).
thf(1347,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1348,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1349,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1350,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1351,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1352,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1353,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1354,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1355,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1356,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1232]) ).
thf(1357,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1232]) ).
thf(1358,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1359,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1360,plain,
! [SV22: real,SV91: real > real,SV192: real,SV154: real] :
( ( ( ord_less_real @ SV154 @ SV192 )
= $false )
| ( ( ~ ! [SY451: real,SY452: real] :
( ~ ( ord_less_real @ SY451 @ SY452 )
| ( ord_less_real @ ( SV91 @ SY451 ) @ ( SV91 @ SY452 ) ) )
| ( ord_less_real @ SV22 @ ( SV91 @ SV192 ) ) )
= $true )
| ( ( SV22
= ( SV91 @ SV154 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1361,plain,
! [SV193: real,SV93: real] :
( ( ( ord_less_real @ SV93 @ SV193 )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV93 @ SV193 )
| ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1362,plain,
! [SV193: real,SV93: real] :
( ( ( ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV93 @ SV193 )
| ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1363,plain,
! [SV25: nat,SV94: real > nat,SV194: real,SV157: real] :
( ( ( ord_less_real @ SV157 @ SV194 )
= $false )
| ( ( ~ ! [SY457: real,SY458: real] :
( ~ ( ord_less_real @ SY457 @ SY458 )
| ( ord_less_nat @ ( SV94 @ SY457 ) @ ( SV94 @ SY458 ) ) )
| ( ord_less_nat @ SV25 @ ( SV94 @ SV194 ) ) )
= $true )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV157 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1364,plain,
! [SV26: real,SV95: real > real,SV195: real,SV158: real] :
( ( ( ord_less_real @ SV158 @ SV195 )
= $false )
| ( ( ~ ! [SY461: real,SY462: real] :
( ~ ( ord_less_real @ SY461 @ SY462 )
| ( ord_less_real @ ( SV95 @ SY461 ) @ ( SV95 @ SY462 ) ) )
| ( ord_less_real @ SV26 @ ( SV95 @ SV195 ) ) )
= $true )
| ( ( ord_less_eq_real @ SV26 @ ( SV95 @ SV158 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1239]) ).
thf(1365,plain,
! [SV97: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV97 ) )
| ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) )
= $false )
| ( ( SV28 = SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1366,plain,
! [SV97: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV97 ) )
| ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) )
= $false )
| ( ( ord_less_real @ SV28 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1367,plain,
! [SV97: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV97 ) )
| ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) )
= $false )
| ( ( ord_less_real @ SV97 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1368,plain,
! [SV30: real,SV99: real] :
( ( ( ~ ( ord_less_real @ SV99 @ SV30 )
| ( SV99 = SV30 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV99 @ SV30 )
| ( SV99 != SV30 ) ) )
= $true )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1369,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
| ~ ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 ) )
| ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
!= zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1244]) ).
thf(1370,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1245]) ).
thf(1371,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1245]) ).
thf(1372,plain,
! [SV34: real,SV197: real,SV103: real,SV160: real > real] :
( ( ( ( SV160 @ SV103 )
= SV197 )
= $false )
| ( ( ~ ! [SY573: real,SY574: real] :
( ~ ( ord_less_real @ SY573 @ SY574 )
| ( ord_less_real @ ( SV160 @ SY573 ) @ ( SV160 @ SY574 ) ) )
| ( ord_less_real @ ( SV160 @ SV34 ) @ SV197 ) )
= $true )
| ( ( ord_less_real @ SV34 @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1373,plain,
! [SV37: real,SV106: nat > real,SV198: nat,SV162: nat] :
( ( ( ord_less_nat @ SV162 @ SV198 )
= $false )
| ( ( ~ ! [SY475: nat,SY476: nat] :
( ~ ( ord_less_nat @ SY475 @ SY476 )
| ( ord_less_real @ ( SV106 @ SY475 ) @ ( SV106 @ SY476 ) ) )
| ( ord_less_real @ SV37 @ ( SV106 @ SV198 ) ) )
= $true )
| ( ( ord_less_eq_real @ SV37 @ ( SV106 @ SV162 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1374,plain,
! [SV38: real,SV107: real,SV163: poly_real] :
( ( ( ~ ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real ) )
= $true )
| ( ( ~ ! [SY578: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV38 @ SY578 )
| ~ ( ord_less_real @ SY578 @ SV107 ) )
| ( ( poly_real2 @ SV163 @ SY578 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1249]) ).
thf(1375,plain,
! [SV40: nat,SV108: real > nat,SV199: real,SV164: real] :
( ( ( ord_less_real @ SV164 @ SV199 )
= $false )
| ( ( ~ ! [SY481: real,SY482: real] :
( ~ ( ord_less_real @ SY481 @ SY482 )
| ( ord_less_nat @ ( SV108 @ SY481 ) @ ( SV108 @ SY482 ) ) )
| ( ord_less_nat @ SV40 @ ( SV108 @ SV199 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV40 @ ( SV108 @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1376,plain,
! [SV42: real,SV200: real,SV110: real,SV165: real > real] :
( ( ( ord_less_real @ ( SV165 @ SV110 ) @ SV200 )
= $false )
| ( ( ~ ! [SY583: real,SY584: real] :
( ~ ( ord_less_real @ SY583 @ SY584 )
| ( ord_less_real @ ( SV165 @ SY583 ) @ ( SV165 @ SY584 ) ) )
| ( ord_less_real @ ( SV165 @ SV42 ) @ SV200 ) )
= $true )
| ( ( ord_less_real @ SV42 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1377,plain,
! [SV201: real,SV111: real] :
( ( ( ord_less_real @ SV111 @ SV201 )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV111 @ SV201 )
| ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1378,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV111 @ SV201 )
| ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1379,plain,
! [SV113: real,SV45: real] :
( ( ( SV45 = SV113 )
= $true )
| ( ( ord_less_real @ SV113 @ SV45 )
= $true )
| ( ( ord_less_real @ SV45 @ SV113 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1256]) ).
thf(1380,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
| ~ ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 ) )
| ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
!= zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1258]) ).
thf(1381,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1382,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1383,plain,
! [SV48: nat,SV202: real,SV116: nat,SV170: nat > real] :
( ( ( ( SV170 @ SV116 )
= SV202 )
= $false )
| ( ( ~ ! [SY589: nat,SY590: nat] :
( ~ ( ord_less_nat @ SY589 @ SY590 )
| ( ord_less_real @ ( SV170 @ SY589 ) @ ( SV170 @ SY590 ) ) )
| ( ord_less_real @ ( SV170 @ SV48 ) @ SV202 ) )
= $true )
| ( ( ord_less_nat @ SV48 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1260]) ).
thf(1384,plain,
! [SV50: real,SV203: nat,SV117: real,SV171: real > nat] :
( ( ( ( SV171 @ SV117 )
= SV203 )
= $false )
| ( ( ~ ! [SY592: real,SY593: real] :
( ~ ( ord_less_real @ SY592 @ SY593 )
| ( ord_less_nat @ ( SV171 @ SY592 ) @ ( SV171 @ SY593 ) ) )
| ( ord_less_nat @ ( SV171 @ SV50 ) @ SV203 ) )
= $true )
| ( ( ord_less_real @ SV50 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1261]) ).
thf(1385,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) )
= $false )
| ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1386,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1387,plain,
! [SV55: real,SV121: nat > real,SV205: nat,SV174: nat] :
( ( ( ord_less_eq_nat @ SV174 @ SV205 )
= $false )
| ( ( ~ ! [SY507: nat,SY508: nat] :
( ~ ( ord_less_eq_nat @ SY507 @ SY508 )
| ( ord_less_eq_real @ ( SV121 @ SY507 ) @ ( SV121 @ SY508 ) ) )
| ( ord_less_real @ SV55 @ ( SV121 @ SV205 ) ) )
= $true )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV174 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1265]) ).
thf(1388,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
= $false )
| ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1266]) ).
thf(1389,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) )
= $false )
| ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1266]) ).
thf(1390,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
| ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) )
= $false )
| ( ( SV56 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1391,plain,
! [SV56: poly_real,SV122: real] :
( ( ( ( order_real @ SV122 @ SV56 )
= zero_zero_nat )
= $true )
| ( ( ~ ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
| ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1268]) ).
thf(1392,plain,
! [SV57: poly_real,SV123: real] :
( ( ( ~ ( ord_less_real @ SV123 @ ( sK9_SY509 @ SV57 @ SV123 ) ) )
= $false )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1269]) ).
thf(1393,plain,
! [SV57: poly_real,SV123: real] :
( ( ( ~ ! [SY664: real] :
( ~ ~ ( ~ ( ord_less_real @ SV123 @ SY664 )
| ~ ( ord_less_eq_real @ SY664 @ ( sK9_SY509 @ SV57 @ SV123 ) ) )
| ( ( poly_real2 @ SV57 @ SY664 )
!= zero_zero_real ) ) )
= $false )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1269]) ).
thf(1394,plain,
! [SV124: real,SV58: real] :
( ( ( ord_less_real @ SV58 @ SV124 )
= $true )
| ( ( ord_less_real @ SV124 @ SV58 )
= $true )
| ( ( SV58 = SV124 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1270]) ).
thf(1395,plain,
! [SV60: real,SV126: nat > real,SV206: nat,SV175: nat] :
( ( ( ord_less_nat @ SV175 @ SV206 )
= $false )
| ( ( ~ ! [SY513: nat,SY514: nat] :
( ~ ( ord_less_nat @ SY513 @ SY514 )
| ( ord_less_real @ ( SV126 @ SY513 ) @ ( SV126 @ SY514 ) ) )
| ( ord_less_real @ SV60 @ ( SV126 @ SV206 ) ) )
= $true )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV175 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1396,plain,
! [SV61: real,SV127: real] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sK15_SY515 @ SV127 @ SV61 ) )
| ~ ( ord_less_real @ ( sK15_SY515 @ SV127 @ SV61 ) @ SV61 ) )
| ~ ( ord_less_real @ ( sK15_SY515 @ SV127 @ SV61 ) @ SV127 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1272]) ).
thf(1397,plain,
! [SV128: real,SV62: real] :
( ( ( ~ ( ord_less_real @ SV62 @ ( sK7_SY516 @ SV128 @ SV62 ) )
| ~ ( ord_less_real @ ( sK7_SY516 @ SV128 @ SV62 ) @ SV128 ) )
= $false )
| ( ( ord_less_real @ SV62 @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1398,plain,
! [SV64: nat,SV207: real,SV130: nat,SV176: nat > real] :
( ( ( ord_less_real @ ( SV176 @ SV130 ) @ SV207 )
= $false )
| ( ( ~ ! [SY601: nat,SY602: nat] :
( ~ ( ord_less_nat @ SY601 @ SY602 )
| ( ord_less_real @ ( SV176 @ SY601 ) @ ( SV176 @ SY602 ) ) )
| ( ord_less_real @ ( SV176 @ SV64 ) @ SV207 ) )
= $true )
| ( ( ord_less_nat @ SV64 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1274]) ).
thf(1399,plain,
! [SV177: real,SV132: real,SV66: real] :
( ( ( ord_less_real @ SV66 @ SV132 )
= $true )
| ( ( ord_less_real @ SV66 @ ( ord_min_real @ SV132 @ SV177 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1275]) ).
thf(1400,plain,
! [SV132: real,SV177: real,SV66: real] :
( ( ( ord_less_real @ SV66 @ SV177 )
= $true )
| ( ( ord_less_real @ SV66 @ ( ord_min_real @ SV132 @ SV177 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1276]) ).
thf(1401,plain,
! [SV70: real,SV136: real,SV179: poly_real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) ) )
= $true )
| ( ( ~ ! [SY603: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV70 @ SY603 )
| ~ ( ord_less_real @ SY603 @ SV136 ) )
| ( ( poly_real2 @ SV179 @ SY603 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1278]) ).
thf(1402,plain,
! [SV72: real,SV208: nat,SV138: real,SV180: real > nat] :
( ( ( ord_less_nat @ ( SV180 @ SV138 ) @ SV208 )
= $false )
| ( ( ~ ! [SY605: real,SY606: real] :
( ~ ( ord_less_real @ SY605 @ SY606 )
| ( ord_less_nat @ ( SV180 @ SY605 ) @ ( SV180 @ SY606 ) ) )
| ( ord_less_nat @ ( SV180 @ SV72 ) @ SV208 ) )
= $true )
| ( ( ord_less_real @ SV72 @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1403,plain,
! [SV74: real > real > $o,SV140: real,SV182: real] :
( ( ( ~ ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) ) )
= $false )
| ( ( ~ ! [SY409: real] : ( SV74 @ SY409 @ SY409 )
| ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1280]) ).
thf(1404,plain,
! [SV140: real,SV182: real,SV74: real > real > $o] :
( ( ( SV74 @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $false )
| ( ( ~ ! [SY409: real] : ( SV74 @ SY409 @ SY409 )
| ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1280]) ).
thf(1405,plain,
! [SV75: nat,SV209: real,SV141: nat,SV183: nat > real] :
( ( ( ord_less_real @ ( SV183 @ SV141 ) @ SV209 )
= $false )
| ( ( ~ ! [SY613: nat,SY614: nat] :
( ~ ( ord_less_eq_nat @ SY613 @ SY614 )
| ( ord_less_eq_real @ ( SV183 @ SY613 ) @ ( SV183 @ SY614 ) ) )
| ( ord_less_real @ ( SV183 @ SV75 ) @ SV209 ) )
= $true )
| ( ( ord_less_eq_nat @ SV75 @ SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1406,plain,
! [SV76: real,SV210: real,SV142: real,SV184: real > real] :
( ( ( ord_less_real @ ( SV184 @ SV142 ) @ SV210 )
= $false )
| ( ( ~ ! [SY616: real,SY617: real] :
( ~ ( ord_less_eq_real @ SY616 @ SY617 )
| ( ord_less_eq_real @ ( SV184 @ SY616 ) @ ( SV184 @ SY617 ) ) )
| ( ord_less_real @ ( SV184 @ SV76 ) @ SV210 ) )
= $true )
| ( ( ord_less_eq_real @ SV76 @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1407,plain,
! [SV77: nat,SV143: real > nat,SV211: real,SV185: real] :
( ( ( ord_less_real @ SV185 @ SV211 )
= $false )
| ( ( ~ ! [SY546: real,SY547: real] :
( ~ ( ord_less_real @ SY546 @ SY547 )
| ( ord_less_nat @ ( SV143 @ SY546 ) @ ( SV143 @ SY547 ) ) )
| ( ord_less_nat @ SV77 @ ( SV143 @ SV211 ) ) )
= $true )
| ( ( SV77
= ( SV143 @ SV185 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1408,plain,
! [SV78: real,SV144: real > real,SV212: real,SV186: real] :
( ( ( ord_less_real @ SV186 @ SV212 )
= $false )
| ( ( ~ ! [SY550: real,SY551: real] :
( ~ ( ord_less_real @ SY550 @ SY551 )
| ( ord_less_real @ ( SV144 @ SY550 ) @ ( SV144 @ SY551 ) ) )
| ( ord_less_real @ SV78 @ ( SV144 @ SV212 ) ) )
= $true )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV186 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1409,plain,
! [SV145: real,SV79: real] :
( ( ( ord_less_real @ SV79 @ SV145 )
= $true )
| ( ( ord_less_real @ SV145 @ SV79 )
= $true )
| ( ( SV79 = SV145 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1285]) ).
thf(1410,plain,
! [SV148: real,SV82: poly_real] :
( ( ( ~ ( ord_less_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SV148 ) )
= $false )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1286]) ).
thf(1411,plain,
! [SV148: real,SV82: poly_real] :
( ( ( ~ ! [SY665: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SY665 )
| ~ ( ord_less_real @ SY665 @ SV148 ) )
| ( ( poly_real2 @ SV82 @ SY665 )
!= zero_zero_real ) ) )
= $false )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1286]) ).
thf(1412,plain,
! [SV83: real,SV149: nat > real,SV213: nat,SV188: nat] :
( ( ( ord_less_nat @ SV188 @ SV213 )
= $false )
| ( ( ~ ! [SY557: nat,SY558: nat] :
( ~ ( ord_less_nat @ SY557 @ SY558 )
| ( ord_less_real @ ( SV149 @ SY557 ) @ ( SV149 @ SY558 ) ) )
| ( ord_less_real @ SV83 @ ( SV149 @ SV213 ) ) )
= $true )
| ( ( SV83
= ( SV149 @ SV188 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1413,plain,
! [SV2: poly_real] :
( ( ( ! [SY266: real] :
( ( poly_real2 @ SV2 @ SY266 )
= zero_zero_real ) )
= $true )
| ( ( ( poly_real2 @ SV2 @ ( sK6_SY266 @ SV2 ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1288]) ).
thf(1414,plain,
! [SV2: poly_real] :
( ( ( SV2 = zero_zero_poly_real )
= $true )
| ( ( ( poly_real2 @ SV2 @ ( sK6_SY266 @ SV2 ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1289]) ).
thf(1415,plain,
! [SV215: real,SV2: poly_real] :
( ( ( ( poly_real2 @ SV2 @ SV215 )
= zero_zero_real )
= $true )
| ( ( SV2 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1416,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
| ( SV4 != SV84 ) )
= $false )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV214 @ SV84 @ SV4 ) )
= ( poly_real2 @ SV84 @ ( sK12_SV214 @ SV84 @ SV4 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1417,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
= $false )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1297]) ).
thf(1418,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( SV4 != SV84 )
= $false )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1297]) ).
thf(1419,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $true )
| ( ( SV4 = SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1298]) ).
thf(1420,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( SV4 = SV84 )
= $true )
| ( ( SV4 = SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1299]) ).
thf(1421,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ~ ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 ) )
= $false )
| ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1300]) ).
thf(1422,plain,
! [SV85: real,SV150: real,SV5: real] :
( ( ( ~ ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) )
= $false )
| ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1300]) ).
thf(1423,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ~ ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
| ~ ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) )
= $false )
| ( ( ord_less_real @ SV5 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1301]) ).
thf(1424,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ~ ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
| ~ ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) )
= $false )
| ( ( ord_less_real @ SV85 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1302]) ).
thf(1425,plain,
! [SV190: real,SV87: real] :
( ( ( ~ ( ord_less_eq_real @ SV87 @ SV190 )
| ~ ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV87 @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1307]) ).
thf(1426,plain,
! [SV190: real,SV87: real] :
( ( ( ord_less_real @ SV87 @ SV190 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV87 @ SV190 )
| ~ ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1308]) ).
thf(1427,plain,
! [SV190: real,SV87: real] :
( ( ( SV87 = SV190 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV87 @ SV190 )
| ~ ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1308]) ).
thf(1428,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ~ ( ord_less_real @ SV19 @ SV89 ) )
= $false )
| ( ( ord_less_real @ SV19 @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1429,plain,
! [SV19: real,SV89: real] :
( ( ( ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) )
= $false )
| ( ( ord_less_real @ SV19 @ SV89 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1430,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ~ ( ord_less_real @ SV19 @ SV89 ) )
= $false )
| ( ( ord_less_real @ SV89 @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1338]) ).
thf(1431,plain,
! [SV19: real,SV89: real] :
( ( ( ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) )
= $false )
| ( ( ord_less_real @ SV89 @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1338]) ).
thf(1432,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ~ ( ord_less_real @ SV19 @ SV89 ) )
= $false )
| ( ( SV19 = SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1339]) ).
thf(1433,plain,
! [SV19: real,SV89: real] :
( ( ( ~ ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) ) )
= $false )
| ( ( SV19 = SV89 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1339]) ).
thf(1434,plain,
! [SV191: real,SV90: real] :
( ( ( ~ ( ord_less_eq_real @ SV90 @ SV191 )
| ~ ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV90 @ SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1340]) ).
thf(1435,plain,
! [SV191: real,SV90: real] :
( ( ( ord_less_real @ SV90 @ SV191 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV90 @ SV191 )
| ~ ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1341]) ).
thf(1436,plain,
! [SV191: real,SV90: real] :
( ( ( SV90 = SV191 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV90 @ SV191 )
| ~ ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1341]) ).
thf(1437,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( SV21 = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1342]) ).
thf(1438,plain,
! [SV21: $o] :
( ( $true = $true )
| ( SV21 = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1343]) ).
thf(1439,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( $true = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1344]) ).
thf(1440,plain,
! [SV21: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1345]) ).
thf(1441,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( SV21 = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1346]) ).
thf(1442,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( SV21 = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1346]) ).
thf(1443,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( $false = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1444,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1445,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1348]) ).
thf(1446,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1349]) ).
thf(1447,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1350]) ).
thf(1448,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1351]) ).
thf(1449,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1352]) ).
thf(1450,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1352]) ).
thf(1451,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1353]) ).
thf(1452,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1353]) ).
thf(1453,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1354]) ).
thf(1454,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1355]) ).
thf(1455,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1456,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1457,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1458,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1459,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1460,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1461,plain,
! [SV154: real,SV192: real,SV22: real,SV91: real > real] :
( ( ( ~ ! [SY451: real,SY452: real] :
( ~ ( ord_less_real @ SY451 @ SY452 )
| ( ord_less_real @ ( SV91 @ SY451 ) @ ( SV91 @ SY452 ) ) ) )
= $true )
| ( ( ord_less_real @ SV22 @ ( SV91 @ SV192 ) )
= $true )
| ( ( ord_less_real @ SV154 @ SV192 )
= $false )
| ( ( SV22
= ( SV91 @ SV154 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1360]) ).
thf(1462,plain,
! [SV193: real,SV93: real] :
( ( ( ~ ( ord_less_real @ SV93 @ SV193 )
| ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) )
= $false )
| ( ( ord_less_real @ SV93 @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1361]) ).
thf(1463,plain,
! [SV193: real,SV93: real] :
( ( ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ SV93 @ SV193 )
| ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1362]) ).
thf(1464,plain,
! [SV157: real,SV194: real,SV25: nat,SV94: real > nat] :
( ( ( ~ ! [SY457: real,SY458: real] :
( ~ ( ord_less_real @ SY457 @ SY458 )
| ( ord_less_nat @ ( SV94 @ SY457 ) @ ( SV94 @ SY458 ) ) ) )
= $true )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV194 ) )
= $true )
| ( ( ord_less_real @ SV157 @ SV194 )
= $false )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV157 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1363]) ).
thf(1465,plain,
! [SV158: real,SV195: real,SV26: real,SV95: real > real] :
( ( ( ~ ! [SY461: real,SY462: real] :
( ~ ( ord_less_real @ SY461 @ SY462 )
| ( ord_less_real @ ( SV95 @ SY461 ) @ ( SV95 @ SY462 ) ) ) )
= $true )
| ( ( ord_less_real @ SV26 @ ( SV95 @ SV195 ) )
= $true )
| ( ( ord_less_real @ SV158 @ SV195 )
= $false )
| ( ( ord_less_eq_real @ SV26 @ ( SV95 @ SV158 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1364]) ).
thf(1466,plain,
! [SV97: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV97 ) ) )
= $false )
| ( ( SV28 = SV97 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1467,plain,
! [SV97: real,SV28: real] :
( ( ( ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) )
= $false )
| ( ( SV28 = SV97 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1468,plain,
! [SV97: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV97 ) ) )
= $false )
| ( ( ord_less_real @ SV28 @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1469,plain,
! [SV97: real,SV28: real] :
( ( ( ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) )
= $false )
| ( ( ord_less_real @ SV28 @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1470,plain,
! [SV97: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV97 ) ) )
= $false )
| ( ( ord_less_real @ SV97 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1367]) ).
thf(1471,plain,
! [SV97: real,SV28: real] :
( ( ( ~ ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) ) )
= $false )
| ( ( ord_less_real @ SV97 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1367]) ).
thf(1472,plain,
! [SV30: real,SV99: real] :
( ( ( ~ ( ord_less_real @ SV99 @ SV30 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV99 @ SV30 )
| ( SV99 != SV30 ) ) )
= $true )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1368]) ).
thf(1473,plain,
! [SV30: real,SV99: real] :
( ( ( SV99 = SV30 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV99 @ SV30 )
| ( SV99 != SV30 ) ) )
= $true )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1368]) ).
thf(1474,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
| ~ ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1369]) ).
thf(1475,plain,
! [SV33: real,SV102: real,SV159: poly_real] :
( ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
!= zero_zero_real )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1369]) ).
thf(1476,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
| ~ ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1370]) ).
thf(1477,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
| ~ ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1371]) ).
thf(1478,plain,
! [SV103: real,SV197: real,SV34: real,SV160: real > real] :
( ( ( ~ ! [SY573: real,SY574: real] :
( ~ ( ord_less_real @ SY573 @ SY574 )
| ( ord_less_real @ ( SV160 @ SY573 ) @ ( SV160 @ SY574 ) ) ) )
= $true )
| ( ( ord_less_real @ ( SV160 @ SV34 ) @ SV197 )
= $true )
| ( ( ( SV160 @ SV103 )
= SV197 )
= $false )
| ( ( ord_less_real @ SV34 @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1372]) ).
thf(1479,plain,
! [SV162: nat,SV198: nat,SV37: real,SV106: nat > real] :
( ( ( ~ ! [SY475: nat,SY476: nat] :
( ~ ( ord_less_nat @ SY475 @ SY476 )
| ( ord_less_real @ ( SV106 @ SY475 ) @ ( SV106 @ SY476 ) ) ) )
= $true )
| ( ( ord_less_real @ SV37 @ ( SV106 @ SV198 ) )
= $true )
| ( ( ord_less_nat @ SV162 @ SV198 )
= $false )
| ( ( ord_less_eq_real @ SV37 @ ( SV106 @ SV162 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1373]) ).
thf(1480,plain,
! [SV38: real,SV107: real,SV163: poly_real] :
( ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ~ ! [SY578: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV38 @ SY578 )
| ~ ( ord_less_real @ SY578 @ SV107 ) )
| ( ( poly_real2 @ SV163 @ SY578 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1481,plain,
! [SV164: real,SV199: real,SV40: nat,SV108: real > nat] :
( ( ( ~ ! [SY481: real,SY482: real] :
( ~ ( ord_less_real @ SY481 @ SY482 )
| ( ord_less_nat @ ( SV108 @ SY481 ) @ ( SV108 @ SY482 ) ) ) )
= $true )
| ( ( ord_less_nat @ SV40 @ ( SV108 @ SV199 ) )
= $true )
| ( ( ord_less_real @ SV164 @ SV199 )
= $false )
| ( ( ord_less_eq_nat @ SV40 @ ( SV108 @ SV164 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1375]) ).
thf(1482,plain,
! [SV110: real,SV200: real,SV42: real,SV165: real > real] :
( ( ( ~ ! [SY583: real,SY584: real] :
( ~ ( ord_less_real @ SY583 @ SY584 )
| ( ord_less_real @ ( SV165 @ SY583 ) @ ( SV165 @ SY584 ) ) ) )
= $true )
| ( ( ord_less_real @ ( SV165 @ SV42 ) @ SV200 )
= $true )
| ( ( ord_less_real @ ( SV165 @ SV110 ) @ SV200 )
= $false )
| ( ( ord_less_real @ SV42 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1376]) ).
thf(1483,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ord_less_real @ SV111 @ SV201 )
| ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) )
= $false )
| ( ( ord_less_real @ SV111 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1484,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ SV111 @ SV201 )
| ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1378]) ).
thf(1485,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
| ~ ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1380]) ).
thf(1486,plain,
! [SV47: real,SV115: real,SV169: poly_real] :
( ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
!= zero_zero_real )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1380]) ).
thf(1487,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
| ~ ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1381]) ).
thf(1488,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
| ~ ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1382]) ).
thf(1489,plain,
! [SV116: nat,SV202: real,SV48: nat,SV170: nat > real] :
( ( ( ~ ! [SY589: nat,SY590: nat] :
( ~ ( ord_less_nat @ SY589 @ SY590 )
| ( ord_less_real @ ( SV170 @ SY589 ) @ ( SV170 @ SY590 ) ) ) )
= $true )
| ( ( ord_less_real @ ( SV170 @ SV48 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV116 )
= SV202 )
= $false )
| ( ( ord_less_nat @ SV48 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1383]) ).
thf(1490,plain,
! [SV117: real,SV203: nat,SV50: real,SV171: real > nat] :
( ( ( ~ ! [SY592: real,SY593: real] :
( ~ ( ord_less_real @ SY592 @ SY593 )
| ( ord_less_nat @ ( SV171 @ SY592 ) @ ( SV171 @ SY593 ) ) ) )
= $true )
| ( ( ord_less_nat @ ( SV171 @ SV50 ) @ SV203 )
= $true )
| ( ( ( SV171 @ SV117 )
= SV203 )
= $false )
| ( ( ord_less_real @ SV50 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1384]) ).
thf(1491,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) ) )
= $false )
| ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1492,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) )
= $false )
| ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1493,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ord_less_real @ SV53 @ SV119 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV53 @ SV173 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1386]) ).
thf(1494,plain,
! [SV174: nat,SV205: nat,SV55: real,SV121: nat > real] :
( ( ( ~ ! [SY507: nat,SY508: nat] :
( ~ ( ord_less_eq_nat @ SY507 @ SY508 )
| ( ord_less_eq_real @ ( SV121 @ SY507 ) @ ( SV121 @ SY508 ) ) ) )
= $true )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV205 ) )
= $true )
| ( ( ord_less_eq_nat @ SV174 @ SV205 )
= $false )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV174 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1387]) ).
thf(1495,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1388]) ).
thf(1496,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) )
= $true )
| ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1389]) ).
thf(1497,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
= $false )
| ( ( SV56 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1390]) ).
thf(1498,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) )
= $false )
| ( ( SV56 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1390]) ).
thf(1499,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
| ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) )
= $false )
| ( ( ( order_real @ SV122 @ SV56 )
= zero_zero_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1500,plain,
! [SV57: poly_real,SV123: real] :
( ( ( ord_less_real @ SV123 @ ( sK9_SY509 @ SV57 @ SV123 ) )
= $true )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1392]) ).
thf(1501,plain,
! [SV57: poly_real,SV123: real] :
( ( ( ! [SY664: real] :
( ~ ~ ( ~ ( ord_less_real @ SV123 @ SY664 )
| ~ ( ord_less_eq_real @ SY664 @ ( sK9_SY509 @ SV57 @ SV123 ) ) )
| ( ( poly_real2 @ SV57 @ SY664 )
!= zero_zero_real ) ) )
= $true )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1393]) ).
thf(1502,plain,
! [SV175: nat,SV206: nat,SV60: real,SV126: nat > real] :
( ( ( ~ ! [SY513: nat,SY514: nat] :
( ~ ( ord_less_nat @ SY513 @ SY514 )
| ( ord_less_real @ ( SV126 @ SY513 ) @ ( SV126 @ SY514 ) ) ) )
= $true )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV206 ) )
= $true )
| ( ( ord_less_nat @ SV175 @ SV206 )
= $false )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV175 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1395]) ).
thf(1503,plain,
! [SV61: real,SV127: real] :
( ( ( ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sK15_SY515 @ SV127 @ SV61 ) )
| ~ ( ord_less_real @ ( sK15_SY515 @ SV127 @ SV61 ) @ SV61 ) )
| ~ ( ord_less_real @ ( sK15_SY515 @ SV127 @ SV61 ) @ SV127 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1396]) ).
thf(1504,plain,
! [SV128: real,SV62: real] :
( ( ( ~ ( ord_less_real @ SV62 @ ( sK7_SY516 @ SV128 @ SV62 ) ) )
= $false )
| ( ( ord_less_real @ SV62 @ SV128 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1397]) ).
thf(1505,plain,
! [SV62: real,SV128: real] :
( ( ( ~ ( ord_less_real @ ( sK7_SY516 @ SV128 @ SV62 ) @ SV128 ) )
= $false )
| ( ( ord_less_real @ SV62 @ SV128 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1397]) ).
thf(1506,plain,
! [SV130: nat,SV207: real,SV64: nat,SV176: nat > real] :
( ( ( ~ ! [SY601: nat,SY602: nat] :
( ~ ( ord_less_nat @ SY601 @ SY602 )
| ( ord_less_real @ ( SV176 @ SY601 ) @ ( SV176 @ SY602 ) ) ) )
= $true )
| ( ( ord_less_real @ ( SV176 @ SV64 ) @ SV207 )
= $true )
| ( ( ord_less_real @ ( SV176 @ SV130 ) @ SV207 )
= $false )
| ( ( ord_less_nat @ SV64 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1507,plain,
! [SV70: real,SV136: real,SV179: poly_real] :
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ~ ! [SY603: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV70 @ SY603 )
| ~ ( ord_less_real @ SY603 @ SV136 ) )
| ( ( poly_real2 @ SV179 @ SY603 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1508,plain,
! [SV138: real,SV208: nat,SV72: real,SV180: real > nat] :
( ( ( ~ ! [SY605: real,SY606: real] :
( ~ ( ord_less_real @ SY605 @ SY606 )
| ( ord_less_nat @ ( SV180 @ SY605 ) @ ( SV180 @ SY606 ) ) ) )
= $true )
| ( ( ord_less_nat @ ( SV180 @ SV72 ) @ SV208 )
= $true )
| ( ( ord_less_nat @ ( SV180 @ SV138 ) @ SV208 )
= $false )
| ( ( ord_less_real @ SV72 @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1402]) ).
thf(1509,plain,
! [SV74: real > real > $o,SV140: real,SV182: real] :
( ( ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $true )
| ( ( ~ ! [SY409: real] : ( SV74 @ SY409 @ SY409 )
| ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1403]) ).
thf(1510,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ~ ! [SY409: real] : ( SV74 @ SY409 @ SY409 ) )
= $true )
| ( ( ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true )
| ( ( SV74 @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1404]) ).
thf(1511,plain,
! [SV141: nat,SV209: real,SV75: nat,SV183: nat > real] :
( ( ( ~ ! [SY613: nat,SY614: nat] :
( ~ ( ord_less_eq_nat @ SY613 @ SY614 )
| ( ord_less_eq_real @ ( SV183 @ SY613 ) @ ( SV183 @ SY614 ) ) ) )
= $true )
| ( ( ord_less_real @ ( SV183 @ SV75 ) @ SV209 )
= $true )
| ( ( ord_less_real @ ( SV183 @ SV141 ) @ SV209 )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV141 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1405]) ).
thf(1512,plain,
! [SV142: real,SV210: real,SV76: real,SV184: real > real] :
( ( ( ~ ! [SY616: real,SY617: real] :
( ~ ( ord_less_eq_real @ SY616 @ SY617 )
| ( ord_less_eq_real @ ( SV184 @ SY616 ) @ ( SV184 @ SY617 ) ) ) )
= $true )
| ( ( ord_less_real @ ( SV184 @ SV76 ) @ SV210 )
= $true )
| ( ( ord_less_real @ ( SV184 @ SV142 ) @ SV210 )
= $false )
| ( ( ord_less_eq_real @ SV76 @ SV142 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1513,plain,
! [SV185: real,SV211: real,SV77: nat,SV143: real > nat] :
( ( ( ~ ! [SY546: real,SY547: real] :
( ~ ( ord_less_real @ SY546 @ SY547 )
| ( ord_less_nat @ ( SV143 @ SY546 ) @ ( SV143 @ SY547 ) ) ) )
= $true )
| ( ( ord_less_nat @ SV77 @ ( SV143 @ SV211 ) )
= $true )
| ( ( ord_less_real @ SV185 @ SV211 )
= $false )
| ( ( SV77
= ( SV143 @ SV185 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1407]) ).
thf(1514,plain,
! [SV186: real,SV212: real,SV78: real,SV144: real > real] :
( ( ( ~ ! [SY550: real,SY551: real] :
( ~ ( ord_less_real @ SY550 @ SY551 )
| ( ord_less_real @ ( SV144 @ SY550 ) @ ( SV144 @ SY551 ) ) ) )
= $true )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV212 ) )
= $true )
| ( ( ord_less_real @ SV186 @ SV212 )
= $false )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV186 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1408]) ).
thf(1515,plain,
! [SV148: real,SV82: poly_real] :
( ( ( ord_less_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SV148 )
= $true )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1410]) ).
thf(1516,plain,
! [SV148: real,SV82: poly_real] :
( ( ( ! [SY665: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SY665 )
| ~ ( ord_less_real @ SY665 @ SV148 ) )
| ( ( poly_real2 @ SV82 @ SY665 )
!= zero_zero_real ) ) )
= $true )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1411]) ).
thf(1517,plain,
! [SV188: nat,SV213: nat,SV83: real,SV149: nat > real] :
( ( ( ~ ! [SY557: nat,SY558: nat] :
( ~ ( ord_less_nat @ SY557 @ SY558 )
| ( ord_less_real @ ( SV149 @ SY557 ) @ ( SV149 @ SY558 ) ) ) )
= $true )
| ( ( ord_less_real @ SV83 @ ( SV149 @ SV213 ) )
= $true )
| ( ( ord_less_nat @ SV188 @ SV213 )
= $false )
| ( ( SV83
= ( SV149 @ SV188 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1412]) ).
thf(1518,plain,
! [SV216: real,SV2: poly_real] :
( ( ( ( poly_real2 @ SV2 @ SV216 )
= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV2 @ ( sK6_SY266 @ SV2 ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(1519,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV84 ) )
= $false )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV214 @ SV84 @ SV4 ) )
= ( poly_real2 @ SV84 @ ( sK12_SV214 @ SV84 @ SV4 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1416]) ).
thf(1520,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( SV4 != SV84 )
= $false )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV214 @ SV84 @ SV4 ) )
= ( poly_real2 @ SV84 @ ( sK12_SV214 @ SV84 @ SV4 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1416]) ).
thf(1521,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $true )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1417]) ).
thf(1522,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( SV4 = SV84 )
= $true )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1523,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ! [SV217: real] :
( ( poly_real2 @ SV4 @ SV217 )
= ( poly_real2 @ SV84 @ SV217 ) ) )
= $true )
| ( ( SV4 = SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1419]) ).
thf(1524,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $true )
| ( ( SV4 = SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1419]) ).
thf(1525,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
= $true )
| ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1421]) ).
thf(1526,plain,
! [SV85: real,SV150: real,SV5: real] :
( ( ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) )
= $true )
| ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1422]) ).
thf(1527,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ~ ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 ) )
= $false )
| ( ( ord_less_real @ SV5 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1423]) ).
thf(1528,plain,
! [SV85: real,SV150: real,SV5: real] :
( ( ( ~ ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) )
= $false )
| ( ( ord_less_real @ SV5 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1423]) ).
thf(1529,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ~ ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 ) )
= $false )
| ( ( ord_less_real @ SV85 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1530,plain,
! [SV85: real,SV150: real,SV5: real] :
( ( ( ~ ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) ) )
= $false )
| ( ( ord_less_real @ SV85 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1531,plain,
! [SV190: real,SV87: real] :
( ( ( ~ ( ord_less_eq_real @ SV87 @ SV190 ) )
= $false )
| ( ( ord_less_eq_real @ SV87 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1425]) ).
thf(1532,plain,
! [SV190: real,SV87: real] :
( ( ( ~ ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV87 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1425]) ).
thf(1533,plain,
! [SV190: real,SV87: real] :
( ( ( ~ ( ord_less_eq_real @ SV87 @ SV190 )
| ~ ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) )
= $false )
| ( ( ord_less_real @ SV87 @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1534,plain,
! [SV190: real,SV87: real] :
( ( ( ~ ( ord_less_eq_real @ SV87 @ SV190 )
| ~ ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) )
= $false )
| ( ( SV87 = SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1427]) ).
thf(1535,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ( ord_less_real @ SV19 @ SV89 ) )
= $true )
| ( ( ord_less_real @ SV19 @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1536,plain,
! [SV19: real,SV89: real] :
( ( ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) )
= $true )
| ( ( ord_less_real @ SV19 @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1429]) ).
thf(1537,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ( ord_less_real @ SV19 @ SV89 ) )
= $true )
| ( ( ord_less_real @ SV89 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1430]) ).
thf(1538,plain,
! [SV19: real,SV89: real] :
( ( ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) )
= $true )
| ( ( ord_less_real @ SV89 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1431]) ).
thf(1539,plain,
! [SV89: real,SV19: real] :
( ( ( ~ ( ord_less_real @ SV19 @ SV89 ) )
= $true )
| ( ( SV19 = SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1432]) ).
thf(1540,plain,
! [SV19: real,SV89: real] :
( ( ( ( ord_less_real @ SV89 @ SV19 )
| ( SV19 = SV89 ) )
= $true )
| ( ( SV19 = SV89 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1541,plain,
! [SV191: real,SV90: real] :
( ( ( ~ ( ord_less_eq_real @ SV90 @ SV191 ) )
= $false )
| ( ( ord_less_eq_real @ SV90 @ SV191 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1542,plain,
! [SV191: real,SV90: real] :
( ( ( ~ ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV90 @ SV191 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1543,plain,
! [SV191: real,SV90: real] :
( ( ( ~ ( ord_less_eq_real @ SV90 @ SV191 )
| ~ ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) )
= $false )
| ( ( ord_less_real @ SV90 @ SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1544,plain,
! [SV191: real,SV90: real] :
( ( ( ~ ( ord_less_eq_real @ SV90 @ SV191 )
| ~ ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) )
= $false )
| ( ( SV90 = SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1545,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false )
| ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1437]) ).
thf(1546,plain,
! [SV21: $o] :
( ( ( SV21 = $false )
= $true )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1437]) ).
thf(1547,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false )
| ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1438]) ).
thf(1548,plain,
! [SV21: $o] :
( ( ( SV21 = $false )
= $true )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1438]) ).
thf(1549,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false )
| ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1439]) ).
thf(1550,plain,
! [SV21: $o] :
( ( ( SV21 = $false )
= $true )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1439]) ).
thf(1551,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false )
| ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1440]) ).
thf(1552,plain,
! [SV21: $o] :
( ( ( SV21 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1440]) ).
thf(1553,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( SV21 = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1441]) ).
thf(1554,plain,
! [SV21: $o] :
( ( $false = $true )
| ( SV21 = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1442]) ).
thf(1555,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( $false = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1443]) ).
thf(1556,plain,
! [SV21: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1444]) ).
thf(1557,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1445]) ).
thf(1558,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1445]) ).
thf(1559,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1446]) ).
thf(1560,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1446]) ).
thf(1561,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1447]) ).
thf(1562,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1447]) ).
thf(1563,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1448]) ).
thf(1564,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1448]) ).
thf(1565,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1449]) ).
thf(1566,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1450]) ).
thf(1567,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1451]) ).
thf(1568,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1452]) ).
thf(1569,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1453]) ).
thf(1570,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1453]) ).
thf(1571,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1454]) ).
thf(1572,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1454]) ).
thf(1573,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1455]) ).
thf(1574,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1455]) ).
thf(1575,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1456]) ).
thf(1576,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1456]) ).
thf(1577,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1578,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1458]) ).
thf(1579,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1459]) ).
thf(1580,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1460]) ).
thf(1581,plain,
! [SV154: real,SV192: real,SV22: real,SV91: real > real] :
( ( ( ! [SY451: real,SY452: real] :
( ~ ( ord_less_real @ SY451 @ SY452 )
| ( ord_less_real @ ( SV91 @ SY451 ) @ ( SV91 @ SY452 ) ) ) )
= $false )
| ( ( ord_less_real @ SV22 @ ( SV91 @ SV192 ) )
= $true )
| ( ( ord_less_real @ SV154 @ SV192 )
= $false )
| ( ( SV22
= ( SV91 @ SV154 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1461]) ).
thf(1582,plain,
! [SV193: real,SV93: real] :
( ( ( ~ ( ord_less_real @ SV93 @ SV193 ) )
= $false )
| ( ( ord_less_real @ SV93 @ SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1583,plain,
! [SV193: real,SV93: real] :
( ( ( ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) )
= $false )
| ( ( ord_less_real @ SV93 @ SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1584,plain,
! [SV193: real,SV93: real] :
( ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
= $true )
| ( ( ~ ( ( SV93 != SV193 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ SV93 @ SV193 )
| ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1463]) ).
thf(1585,plain,
! [SV157: real,SV194: real,SV25: nat,SV94: real > nat] :
( ( ( ! [SY457: real,SY458: real] :
( ~ ( ord_less_real @ SY457 @ SY458 )
| ( ord_less_nat @ ( SV94 @ SY457 ) @ ( SV94 @ SY458 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV194 ) )
= $true )
| ( ( ord_less_real @ SV157 @ SV194 )
= $false )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV157 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1586,plain,
! [SV158: real,SV195: real,SV26: real,SV95: real > real] :
( ( ( ! [SY461: real,SY462: real] :
( ~ ( ord_less_real @ SY461 @ SY462 )
| ( ord_less_real @ ( SV95 @ SY461 ) @ ( SV95 @ SY462 ) ) ) )
= $false )
| ( ( ord_less_real @ SV26 @ ( SV95 @ SV195 ) )
= $true )
| ( ( ord_less_real @ SV158 @ SV195 )
= $false )
| ( ( ord_less_eq_real @ SV26 @ ( SV95 @ SV158 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1587,plain,
! [SV97: real,SV28: real] :
( ( ( SV28 != SV97 )
= $true )
| ( ( SV28 = SV97 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1588,plain,
! [SV97: real,SV28: real] :
( ( ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) )
= $true )
| ( ( SV28 = SV97 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1589,plain,
! [SV97: real,SV28: real] :
( ( ( SV28 != SV97 )
= $true )
| ( ( ord_less_real @ SV28 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1590,plain,
! [SV97: real,SV28: real] :
( ( ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) )
= $true )
| ( ( ord_less_real @ SV28 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1469]) ).
thf(1591,plain,
! [SV97: real,SV28: real] :
( ( ( SV28 != SV97 )
= $true )
| ( ( ord_less_real @ SV97 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1470]) ).
thf(1592,plain,
! [SV97: real,SV28: real] :
( ( ( ( ord_less_real @ SV28 @ SV97 )
| ( ord_less_real @ SV97 @ SV28 ) )
= $true )
| ( ( ord_less_real @ SV97 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1471]) ).
thf(1593,plain,
! [SV30: real,SV99: real] :
( ( ( ord_less_real @ SV99 @ SV30 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV99 @ SV30 )
| ( SV99 != SV30 ) ) )
= $true )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1472]) ).
thf(1594,plain,
! [SV30: real,SV99: real] :
( ( ( ~ ~ ( ord_less_real @ SV99 @ SV30 )
| ( SV99 != SV30 ) )
= $false )
| ( ( SV99 = SV30 )
= $false )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1473]) ).
thf(1595,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
| ~ ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1474]) ).
thf(1596,plain,
! [SV33: real,SV102: real,SV159: poly_real] :
( ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1475]) ).
thf(1597,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
| ~ ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1476]) ).
thf(1598,plain,
! [SV33: real,SV102: real,SV159: poly_real] :
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1476]) ).
thf(1599,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
| ~ ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1600,plain,
! [SV33: real,SV102: real,SV159: poly_real] :
( ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1601,plain,
! [SV103: real,SV197: real,SV34: real,SV160: real > real] :
( ( ( ! [SY573: real,SY574: real] :
( ~ ( ord_less_real @ SY573 @ SY574 )
| ( ord_less_real @ ( SV160 @ SY573 ) @ ( SV160 @ SY574 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV160 @ SV34 ) @ SV197 )
= $true )
| ( ( ( SV160 @ SV103 )
= SV197 )
= $false )
| ( ( ord_less_real @ SV34 @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1478]) ).
thf(1602,plain,
! [SV162: nat,SV198: nat,SV37: real,SV106: nat > real] :
( ( ( ! [SY475: nat,SY476: nat] :
( ~ ( ord_less_nat @ SY475 @ SY476 )
| ( ord_less_real @ ( SV106 @ SY475 ) @ ( SV106 @ SY476 ) ) ) )
= $false )
| ( ( ord_less_real @ SV37 @ ( SV106 @ SV198 ) )
= $true )
| ( ( ord_less_nat @ SV162 @ SV198 )
= $false )
| ( ( ord_less_eq_real @ SV37 @ ( SV106 @ SV162 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1479]) ).
thf(1603,plain,
! [SV163: poly_real,SV107: real,SV38: real] :
( ( ( ! [SY578: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV38 @ SY578 )
| ~ ( ord_less_real @ SY578 @ SV107 ) )
| ( ( poly_real2 @ SV163 @ SY578 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1604,plain,
! [SV164: real,SV199: real,SV40: nat,SV108: real > nat] :
( ( ( ! [SY481: real,SY482: real] :
( ~ ( ord_less_real @ SY481 @ SY482 )
| ( ord_less_nat @ ( SV108 @ SY481 ) @ ( SV108 @ SY482 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV40 @ ( SV108 @ SV199 ) )
= $true )
| ( ( ord_less_real @ SV164 @ SV199 )
= $false )
| ( ( ord_less_eq_nat @ SV40 @ ( SV108 @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1481]) ).
thf(1605,plain,
! [SV110: real,SV200: real,SV42: real,SV165: real > real] :
( ( ( ! [SY583: real,SY584: real] :
( ~ ( ord_less_real @ SY583 @ SY584 )
| ( ord_less_real @ ( SV165 @ SY583 ) @ ( SV165 @ SY584 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV165 @ SV42 ) @ SV200 )
= $true )
| ( ( ord_less_real @ ( SV165 @ SV110 ) @ SV200 )
= $false )
| ( ( ord_less_real @ SV42 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1606,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ord_less_real @ SV111 @ SV201 ) )
= $false )
| ( ( ord_less_real @ SV111 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1483]) ).
thf(1607,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) )
= $false )
| ( ( ord_less_real @ SV111 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1483]) ).
thf(1608,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ord_less_eq_real @ SV111 @ SV201 ) )
= $true )
| ( ( ~ ( ( SV111 != SV201 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ SV111 @ SV201 )
| ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1484]) ).
thf(1609,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
| ~ ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1485]) ).
thf(1610,plain,
! [SV47: real,SV115: real,SV169: poly_real] :
( ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1486]) ).
thf(1611,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
| ~ ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1487]) ).
thf(1612,plain,
! [SV47: real,SV115: real,SV169: poly_real] :
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1487]) ).
thf(1613,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
| ~ ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1614,plain,
! [SV47: real,SV115: real,SV169: poly_real] :
( ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1615,plain,
! [SV116: nat,SV202: real,SV48: nat,SV170: nat > real] :
( ( ( ! [SY589: nat,SY590: nat] :
( ~ ( ord_less_nat @ SY589 @ SY590 )
| ( ord_less_real @ ( SV170 @ SY589 ) @ ( SV170 @ SY590 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV170 @ SV48 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV116 )
= SV202 )
= $false )
| ( ( ord_less_nat @ SV48 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1489]) ).
thf(1616,plain,
! [SV117: real,SV203: nat,SV50: real,SV171: real > nat] :
( ( ( ! [SY592: real,SY593: real] :
( ~ ( ord_less_real @ SY592 @ SY593 )
| ( ord_less_nat @ ( SV171 @ SY592 ) @ ( SV171 @ SY593 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( SV171 @ SV50 ) @ SV203 )
= $true )
| ( ( ( SV171 @ SV117 )
= SV203 )
= $false )
| ( ( ord_less_real @ SV50 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1617,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= $true )
| ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1491]) ).
thf(1618,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) )
= $true )
| ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1492]) ).
thf(1619,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ord_less_real @ SV53 @ SV119 )
= $false )
| ( ( ~ ( ord_less_real @ SV53 @ SV173 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1620,plain,
! [SV174: nat,SV205: nat,SV55: real,SV121: nat > real] :
( ( ( ! [SY507: nat,SY508: nat] :
( ~ ( ord_less_eq_nat @ SY507 @ SY508 )
| ( ord_less_eq_real @ ( SV121 @ SY507 ) @ ( SV121 @ SY508 ) ) ) )
= $false )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV205 ) )
= $true )
| ( ( ord_less_eq_nat @ SV174 @ SV205 )
= $false )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV174 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1494]) ).
thf(1621,plain,
! [SV122: real,SV56: poly_real] :
( ( ( SV56 = zero_zero_poly_real )
= $true )
| ( ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat )
= $true )
| ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1496]) ).
thf(1622,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
= $true )
| ( ( SV56 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1497]) ).
thf(1623,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) )
= $true )
| ( ( SV56 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1498]) ).
thf(1624,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( poly_real2 @ SV56 @ SV122 )
!= zero_zero_real )
= $false )
| ( ( ( order_real @ SV122 @ SV56 )
= zero_zero_nat )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1625,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ~ ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) ) )
= $false )
| ( ( ( order_real @ SV122 @ SV56 )
= zero_zero_nat )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1626,plain,
! [SV57: poly_real,SV218: real,SV123: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV123 @ SV218 )
| ~ ( ord_less_eq_real @ SV218 @ ( sK9_SY509 @ SV57 @ SV123 ) ) )
| ( ( poly_real2 @ SV57 @ SV218 )
!= zero_zero_real ) )
= $true )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1627,plain,
! [SV175: nat,SV206: nat,SV60: real,SV126: nat > real] :
( ( ( ! [SY513: nat,SY514: nat] :
( ~ ( ord_less_nat @ SY513 @ SY514 )
| ( ord_less_real @ ( SV126 @ SY513 ) @ ( SV126 @ SY514 ) ) ) )
= $false )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV206 ) )
= $true )
| ( ( ord_less_nat @ SV175 @ SV206 )
= $false )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV175 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1502]) ).
thf(1628,plain,
! [SV61: real,SV127: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sK15_SY515 @ SV127 @ SV61 ) )
| ~ ( ord_less_real @ ( sK15_SY515 @ SV127 @ SV61 ) @ SV61 ) )
| ~ ( ord_less_real @ ( sK15_SY515 @ SV127 @ SV61 ) @ SV127 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1503]) ).
thf(1629,plain,
! [SV128: real,SV62: real] :
( ( ( ord_less_real @ SV62 @ ( sK7_SY516 @ SV128 @ SV62 ) )
= $true )
| ( ( ord_less_real @ SV62 @ SV128 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1504]) ).
thf(1630,plain,
! [SV62: real,SV128: real] :
( ( ( ord_less_real @ ( sK7_SY516 @ SV128 @ SV62 ) @ SV128 )
= $true )
| ( ( ord_less_real @ SV62 @ SV128 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1505]) ).
thf(1631,plain,
! [SV130: nat,SV207: real,SV64: nat,SV176: nat > real] :
( ( ( ! [SY601: nat,SY602: nat] :
( ~ ( ord_less_nat @ SY601 @ SY602 )
| ( ord_less_real @ ( SV176 @ SY601 ) @ ( SV176 @ SY602 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV176 @ SV64 ) @ SV207 )
= $true )
| ( ( ord_less_real @ ( SV176 @ SV130 ) @ SV207 )
= $false )
| ( ( ord_less_nat @ SV64 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1632,plain,
! [SV179: poly_real,SV136: real,SV70: real] :
( ( ( ! [SY603: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV70 @ SY603 )
| ~ ( ord_less_real @ SY603 @ SV136 ) )
| ( ( poly_real2 @ SV179 @ SY603 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1633,plain,
! [SV138: real,SV208: nat,SV72: real,SV180: real > nat] :
( ( ( ! [SY605: real,SY606: real] :
( ~ ( ord_less_real @ SY605 @ SY606 )
| ( ord_less_nat @ ( SV180 @ SY605 ) @ ( SV180 @ SY606 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( SV180 @ SV72 ) @ SV208 )
= $true )
| ( ( ord_less_nat @ ( SV180 @ SV138 ) @ SV208 )
= $false )
| ( ( ord_less_real @ SV72 @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1634,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ~ ! [SY409: real] : ( SV74 @ SY409 @ SY409 ) )
= $true )
| ( ( ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true )
| ( ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1509]) ).
thf(1635,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ! [SY409: real] : ( SV74 @ SY409 @ SY409 ) )
= $false )
| ( ( ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true )
| ( ( SV74 @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1510]) ).
thf(1636,plain,
! [SV141: nat,SV209: real,SV75: nat,SV183: nat > real] :
( ( ( ! [SY613: nat,SY614: nat] :
( ~ ( ord_less_eq_nat @ SY613 @ SY614 )
| ( ord_less_eq_real @ ( SV183 @ SY613 ) @ ( SV183 @ SY614 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV183 @ SV75 ) @ SV209 )
= $true )
| ( ( ord_less_real @ ( SV183 @ SV141 ) @ SV209 )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1637,plain,
! [SV142: real,SV210: real,SV76: real,SV184: real > real] :
( ( ( ! [SY616: real,SY617: real] :
( ~ ( ord_less_eq_real @ SY616 @ SY617 )
| ( ord_less_eq_real @ ( SV184 @ SY616 ) @ ( SV184 @ SY617 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV184 @ SV76 ) @ SV210 )
= $true )
| ( ( ord_less_real @ ( SV184 @ SV142 ) @ SV210 )
= $false )
| ( ( ord_less_eq_real @ SV76 @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1512]) ).
thf(1638,plain,
! [SV185: real,SV211: real,SV77: nat,SV143: real > nat] :
( ( ( ! [SY546: real,SY547: real] :
( ~ ( ord_less_real @ SY546 @ SY547 )
| ( ord_less_nat @ ( SV143 @ SY546 ) @ ( SV143 @ SY547 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV77 @ ( SV143 @ SV211 ) )
= $true )
| ( ( ord_less_real @ SV185 @ SV211 )
= $false )
| ( ( SV77
= ( SV143 @ SV185 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1639,plain,
! [SV186: real,SV212: real,SV78: real,SV144: real > real] :
( ( ( ! [SY550: real,SY551: real] :
( ~ ( ord_less_real @ SY550 @ SY551 )
| ( ord_less_real @ ( SV144 @ SY550 ) @ ( SV144 @ SY551 ) ) ) )
= $false )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV212 ) )
= $true )
| ( ( ord_less_real @ SV186 @ SV212 )
= $false )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV186 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1514]) ).
thf(1640,plain,
! [SV219: real,SV148: real,SV82: poly_real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SV219 )
| ~ ( ord_less_real @ SV219 @ SV148 ) )
| ( ( poly_real2 @ SV82 @ SV219 )
!= zero_zero_real ) )
= $true )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1516]) ).
thf(1641,plain,
! [SV188: nat,SV213: nat,SV83: real,SV149: nat > real] :
( ( ( ! [SY557: nat,SY558: nat] :
( ~ ( ord_less_nat @ SY557 @ SY558 )
| ( ord_less_real @ ( SV149 @ SY557 ) @ ( SV149 @ SY558 ) ) ) )
= $false )
| ( ( ord_less_real @ SV83 @ ( SV149 @ SV213 ) )
= $true )
| ( ( ord_less_nat @ SV188 @ SV213 )
= $false )
| ( ( SV83
= ( SV149 @ SV188 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1642,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $true )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV214 @ SV84 @ SV4 ) )
= ( poly_real2 @ SV84 @ ( sK12_SV214 @ SV84 @ SV4 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1519]) ).
thf(1643,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( SV4 = SV84 )
= $true )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV214 @ SV84 @ SV4 ) )
= ( poly_real2 @ SV84 @ ( sK12_SV214 @ SV84 @ SV4 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1520]) ).
thf(1644,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ! [SV220: real] :
( ( poly_real2 @ SV4 @ SV220 )
= ( poly_real2 @ SV84 @ SV220 ) ) )
= $true )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1521]) ).
thf(1645,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $true )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1521]) ).
thf(1646,plain,
! [SV84: poly_real,SV221: real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 @ SV221 )
= ( poly_real2 @ SV84 @ SV221 ) )
= $true )
| ( ( SV4 = SV84 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1647,plain,
! [SV85: real,SV150: real,SV5: real] :
( ( ( ord_less_real @ SV5 @ SV150 )
= $true )
| ( ( ord_less_real @ SV85 @ SV150 )
= $true )
| ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1526]) ).
thf(1648,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
= $true )
| ( ( ord_less_real @ SV5 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1527]) ).
thf(1649,plain,
! [SV85: real,SV150: real,SV5: real] :
( ( ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) )
= $true )
| ( ( ord_less_real @ SV5 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1528]) ).
thf(1650,plain,
! [SV150: real,SV85: real,SV5: real] :
( ( ( ord_less_real @ ( ord_min_real @ SV5 @ SV85 ) @ SV150 )
= $true )
| ( ( ord_less_real @ SV85 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1529]) ).
thf(1651,plain,
! [SV85: real,SV150: real,SV5: real] :
( ( ( ( ord_less_real @ SV5 @ SV150 )
| ( ord_less_real @ SV85 @ SV150 ) )
= $true )
| ( ( ord_less_real @ SV85 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1530]) ).
thf(1652,plain,
! [SV190: real,SV87: real] :
( ( ( ord_less_eq_real @ SV87 @ SV190 )
= $true )
| ( ( ord_less_eq_real @ SV87 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1531]) ).
thf(1653,plain,
! [SV190: real,SV87: real] :
( ( ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) )
= $true )
| ( ( ord_less_eq_real @ SV87 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1532]) ).
thf(1654,plain,
! [SV190: real,SV87: real] :
( ( ( ~ ( ord_less_eq_real @ SV87 @ SV190 ) )
= $false )
| ( ( ord_less_real @ SV87 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1533]) ).
thf(1655,plain,
! [SV190: real,SV87: real] :
( ( ( ~ ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) )
= $false )
| ( ( ord_less_real @ SV87 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1533]) ).
thf(1656,plain,
! [SV190: real,SV87: real] :
( ( ( ~ ( ord_less_eq_real @ SV87 @ SV190 ) )
= $false )
| ( ( SV87 = SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1657,plain,
! [SV190: real,SV87: real] :
( ( ( ~ ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) ) )
= $false )
| ( ( SV87 = SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1658,plain,
! [SV89: real,SV19: real] :
( ( ( ord_less_real @ SV19 @ SV89 )
= $false )
| ( ( ord_less_real @ SV19 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1535]) ).
thf(1659,plain,
! [SV19: real,SV89: real] :
( ( ( ord_less_real @ SV89 @ SV19 )
= $true )
| ( ( SV19 = SV89 )
= $true )
| ( ( ord_less_real @ SV19 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1536]) ).
thf(1660,plain,
! [SV89: real,SV19: real] :
( ( ( ord_less_real @ SV19 @ SV89 )
= $false )
| ( ( ord_less_real @ SV89 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1661,plain,
! [SV19: real,SV89: real] :
( ( ( ord_less_real @ SV89 @ SV19 )
= $true )
| ( ( SV19 = SV89 )
= $true )
| ( ( ord_less_real @ SV89 @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1538]) ).
thf(1662,plain,
! [SV89: real,SV19: real] :
( ( ( ord_less_real @ SV19 @ SV89 )
= $false )
| ( ( SV19 = SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1663,plain,
! [SV19: real,SV89: real] :
( ( ( ord_less_real @ SV89 @ SV19 )
= $true )
| ( ( SV19 = SV89 )
= $true )
| ( ( SV19 = SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1540]) ).
thf(1664,plain,
! [SV191: real,SV90: real] :
( ( ( ord_less_eq_real @ SV90 @ SV191 )
= $true )
| ( ( ord_less_eq_real @ SV90 @ SV191 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1541]) ).
thf(1665,plain,
! [SV191: real,SV90: real] :
( ( ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) )
= $true )
| ( ( ord_less_eq_real @ SV90 @ SV191 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1666,plain,
! [SV191: real,SV90: real] :
( ( ( ~ ( ord_less_eq_real @ SV90 @ SV191 ) )
= $false )
| ( ( ord_less_real @ SV90 @ SV191 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1543]) ).
thf(1667,plain,
! [SV191: real,SV90: real] :
( ( ( ~ ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) )
= $false )
| ( ( ord_less_real @ SV90 @ SV191 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1543]) ).
thf(1668,plain,
! [SV191: real,SV90: real] :
( ( ( ~ ( ord_less_eq_real @ SV90 @ SV191 ) )
= $false )
| ( ( SV90 = SV191 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1544]) ).
thf(1669,plain,
! [SV191: real,SV90: real] :
( ( ( ~ ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) ) )
= $false )
| ( ( SV90 = SV191 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1544]) ).
thf(1670,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false ) )
= $true )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1545]) ).
thf(1671,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false ) )
= $true )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1547]) ).
thf(1672,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false ) )
= $true )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1549]) ).
thf(1673,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false ) )
= $true )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1551]) ).
thf(1674,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1557]) ).
thf(1675,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1559]) ).
thf(1676,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1561]) ).
thf(1677,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1563]) ).
thf(1678,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1569]) ).
thf(1679,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1571]) ).
thf(1680,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1573]) ).
thf(1681,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1575]) ).
thf(1682,plain,
! [SV91: real > real,SV22: real,SV192: real,SV154: real] :
( ( ( ! [SY666: real] :
( ~ ( ord_less_real @ ( sK20_SY451 @ SV154 @ SV192 @ SV22 @ SV91 ) @ SY666 )
| ( ord_less_real @ ( SV91 @ ( sK20_SY451 @ SV154 @ SV192 @ SV22 @ SV91 ) ) @ ( SV91 @ SY666 ) ) ) )
= $false )
| ( ( ord_less_real @ SV22 @ ( SV91 @ SV192 ) )
= $true )
| ( ( ord_less_real @ SV154 @ SV192 )
= $false )
| ( ( SV22
= ( SV91 @ SV154 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1581]) ).
thf(1683,plain,
! [SV193: real,SV93: real] :
( ( ( ord_less_real @ SV93 @ SV193 )
= $true )
| ( ( ord_less_real @ SV93 @ SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1582]) ).
thf(1684,plain,
! [SV193: real,SV93: real] :
( ( ( ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) )
= $true )
| ( ( ord_less_real @ SV93 @ SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1583]) ).
thf(1685,plain,
! [SV193: real,SV93: real] :
( ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( ~ ( ( SV93 != SV193 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ SV93 @ SV193 )
| ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1584]) ).
thf(1686,plain,
! [SV94: real > nat,SV25: nat,SV194: real,SV157: real] :
( ( ( ! [SY667: real] :
( ~ ( ord_less_real @ ( sK21_SY457 @ SV157 @ SV194 @ SV25 @ SV94 ) @ SY667 )
| ( ord_less_nat @ ( SV94 @ ( sK21_SY457 @ SV157 @ SV194 @ SV25 @ SV94 ) ) @ ( SV94 @ SY667 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV194 ) )
= $true )
| ( ( ord_less_real @ SV157 @ SV194 )
= $false )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV157 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1585]) ).
thf(1687,plain,
! [SV95: real > real,SV26: real,SV195: real,SV158: real] :
( ( ( ! [SY668: real] :
( ~ ( ord_less_real @ ( sK22_SY461 @ SV158 @ SV195 @ SV26 @ SV95 ) @ SY668 )
| ( ord_less_real @ ( SV95 @ ( sK22_SY461 @ SV158 @ SV195 @ SV26 @ SV95 ) ) @ ( SV95 @ SY668 ) ) ) )
= $false )
| ( ( ord_less_real @ SV26 @ ( SV95 @ SV195 ) )
= $true )
| ( ( ord_less_real @ SV158 @ SV195 )
= $false )
| ( ( ord_less_eq_real @ SV26 @ ( SV95 @ SV158 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1586]) ).
thf(1688,plain,
! [SV97: real,SV28: real] :
( ( ( SV28 = SV97 )
= $false )
| ( ( SV28 = SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1587]) ).
thf(1689,plain,
! [SV97: real,SV28: real] :
( ( ( ord_less_real @ SV28 @ SV97 )
= $true )
| ( ( ord_less_real @ SV97 @ SV28 )
= $true )
| ( ( SV28 = SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1588]) ).
thf(1690,plain,
! [SV97: real,SV28: real] :
( ( ( SV28 = SV97 )
= $false )
| ( ( ord_less_real @ SV28 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1589]) ).
thf(1691,plain,
! [SV97: real,SV28: real] :
( ( ( ord_less_real @ SV28 @ SV97 )
= $true )
| ( ( ord_less_real @ SV97 @ SV28 )
= $true )
| ( ( ord_less_real @ SV28 @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1590]) ).
thf(1692,plain,
! [SV97: real,SV28: real] :
( ( ( SV28 = SV97 )
= $false )
| ( ( ord_less_real @ SV97 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1693,plain,
! [SV97: real,SV28: real] :
( ( ( ord_less_real @ SV28 @ SV97 )
= $true )
| ( ( ord_less_real @ SV97 @ SV28 )
= $true )
| ( ( ord_less_real @ SV97 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1592]) ).
thf(1694,plain,
! [SV30: real,SV99: real] :
( ( ( ~ ~ ( ord_less_real @ SV99 @ SV30 )
| ( SV99 != SV30 ) )
= $false )
| ( ( ord_less_real @ SV99 @ SV30 )
= $true )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1593]) ).
thf(1695,plain,
! [SV30: real,SV99: real] :
( ( ( ~ ~ ( ord_less_real @ SV99 @ SV30 ) )
= $false )
| ( ( SV99 = SV30 )
= $false )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1696,plain,
! [SV30: real,SV99: real] :
( ( ( SV99 != SV30 )
= $false )
| ( ( SV99 = SV30 )
= $false )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1697,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
| ~ ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1595]) ).
thf(1698,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1699,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
| ~ ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1597]) ).
thf(1700,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1701,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
| ~ ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1599]) ).
thf(1702,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1600]) ).
thf(1703,plain,
! [SV160: real > real,SV34: real,SV197: real,SV103: real] :
( ( ( ! [SY669: real] :
( ~ ( ord_less_real @ ( sK23_SY573 @ SV103 @ SV197 @ SV34 @ SV160 ) @ SY669 )
| ( ord_less_real @ ( SV160 @ ( sK23_SY573 @ SV103 @ SV197 @ SV34 @ SV160 ) ) @ ( SV160 @ SY669 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV160 @ SV34 ) @ SV197 )
= $true )
| ( ( ( SV160 @ SV103 )
= SV197 )
= $false )
| ( ( ord_less_real @ SV34 @ SV103 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1601]) ).
thf(1704,plain,
! [SV106: nat > real,SV37: real,SV198: nat,SV162: nat] :
( ( ( ! [SY670: nat] :
( ~ ( ord_less_nat @ ( sK24_SY475 @ SV162 @ SV198 @ SV37 @ SV106 ) @ SY670 )
| ( ord_less_real @ ( SV106 @ ( sK24_SY475 @ SV162 @ SV198 @ SV37 @ SV106 ) ) @ ( SV106 @ SY670 ) ) ) )
= $false )
| ( ( ord_less_real @ SV37 @ ( SV106 @ SV198 ) )
= $true )
| ( ( ord_less_nat @ SV162 @ SV198 )
= $false )
| ( ( ord_less_eq_real @ SV37 @ ( SV106 @ SV162 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1602]) ).
thf(1705,plain,
! [SV107: real,SV163: poly_real,SV38: real] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV38 @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) )
| ~ ( ord_less_real @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) @ SV107 ) )
| ( ( poly_real2 @ SV163 @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1603]) ).
thf(1706,plain,
! [SV108: real > nat,SV40: nat,SV199: real,SV164: real] :
( ( ( ! [SY671: real] :
( ~ ( ord_less_real @ ( sK26_SY481 @ SV164 @ SV199 @ SV40 @ SV108 ) @ SY671 )
| ( ord_less_nat @ ( SV108 @ ( sK26_SY481 @ SV164 @ SV199 @ SV40 @ SV108 ) ) @ ( SV108 @ SY671 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV40 @ ( SV108 @ SV199 ) )
= $true )
| ( ( ord_less_real @ SV164 @ SV199 )
= $false )
| ( ( ord_less_eq_nat @ SV40 @ ( SV108 @ SV164 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1604]) ).
thf(1707,plain,
! [SV165: real > real,SV42: real,SV200: real,SV110: real] :
( ( ( ! [SY672: real] :
( ~ ( ord_less_real @ ( sK27_SY583 @ SV110 @ SV200 @ SV42 @ SV165 ) @ SY672 )
| ( ord_less_real @ ( SV165 @ ( sK27_SY583 @ SV110 @ SV200 @ SV42 @ SV165 ) ) @ ( SV165 @ SY672 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV165 @ SV42 ) @ SV200 )
= $true )
| ( ( ord_less_real @ ( SV165 @ SV110 ) @ SV200 )
= $false )
| ( ( ord_less_real @ SV42 @ SV110 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1605]) ).
thf(1708,plain,
! [SV201: real,SV111: real] :
( ( ( ord_less_real @ SV111 @ SV201 )
= $true )
| ( ( ord_less_real @ SV111 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1606]) ).
thf(1709,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) )
= $true )
| ( ( ord_less_real @ SV111 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1607]) ).
thf(1710,plain,
! [SV201: real,SV111: real] :
( ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( ~ ( ( SV111 != SV201 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_real @ SV111 @ SV201 )
| ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1711,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
| ~ ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1712,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1610]) ).
thf(1713,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
| ~ ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1611]) ).
thf(1714,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1715,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
| ~ ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1613]) ).
thf(1716,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1717,plain,
! [SV170: nat > real,SV48: nat,SV202: real,SV116: nat] :
( ( ( ! [SY673: nat] :
( ~ ( ord_less_nat @ ( sK28_SY589 @ SV116 @ SV202 @ SV48 @ SV170 ) @ SY673 )
| ( ord_less_real @ ( SV170 @ ( sK28_SY589 @ SV116 @ SV202 @ SV48 @ SV170 ) ) @ ( SV170 @ SY673 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV170 @ SV48 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV116 )
= SV202 )
= $false )
| ( ( ord_less_nat @ SV48 @ SV116 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1615]) ).
thf(1718,plain,
! [SV171: real > nat,SV50: real,SV203: nat,SV117: real] :
( ( ( ! [SY674: real] :
( ~ ( ord_less_real @ ( sK29_SY592 @ SV117 @ SV203 @ SV50 @ SV171 ) @ SY674 )
| ( ord_less_nat @ ( SV171 @ ( sK29_SY592 @ SV117 @ SV203 @ SV50 @ SV171 ) ) @ ( SV171 @ SY674 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( SV171 @ SV50 ) @ SV203 )
= $true )
| ( ( ( SV171 @ SV117 )
= SV203 )
= $false )
| ( ( ord_less_real @ SV50 @ SV117 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1616]) ).
thf(1719,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) )
= $false )
| ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1618]) ).
thf(1720,plain,
! [SV119: real,SV173: real,SV53: real] :
( ( ( ord_less_real @ SV53 @ SV173 )
= $false )
| ( ( ord_less_real @ SV53 @ SV119 )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1619]) ).
thf(1721,plain,
! [SV121: nat > real,SV55: real,SV205: nat,SV174: nat] :
( ( ( ! [SY675: nat] :
( ~ ( ord_less_eq_nat @ ( sK30_SY507 @ SV174 @ SV205 @ SV55 @ SV121 ) @ SY675 )
| ( ord_less_eq_real @ ( SV121 @ ( sK30_SY507 @ SV174 @ SV205 @ SV55 @ SV121 ) ) @ ( SV121 @ SY675 ) ) ) )
= $false )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV205 ) )
= $true )
| ( ( ord_less_eq_nat @ SV174 @ SV205 )
= $false )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV174 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1620]) ).
thf(1722,plain,
! [SV56: poly_real,SV122: real] :
( ( ( ( order_real @ SV122 @ SV56 )
= zero_zero_nat )
= $false )
| ( ( SV56 = zero_zero_poly_real )
= $true )
| ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1621]) ).
thf(1723,plain,
! [SV122: real,SV56: poly_real] :
( ( ( SV56 = zero_zero_poly_real )
= $true )
| ( ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat )
= $true )
| ( ( SV56 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1623]) ).
thf(1724,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( poly_real2 @ SV56 @ SV122 )
= zero_zero_real )
= $true )
| ( ( ( order_real @ SV122 @ SV56 )
= zero_zero_nat )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1624]) ).
thf(1725,plain,
! [SV122: real,SV56: poly_real] :
( ( ( ( SV56 = zero_zero_poly_real )
| ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat ) )
= $true )
| ( ( ( order_real @ SV122 @ SV56 )
= zero_zero_nat )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1625]) ).
thf(1726,plain,
! [SV57: poly_real,SV218: real,SV123: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV123 @ SV218 )
| ~ ( ord_less_eq_real @ SV218 @ ( sK9_SY509 @ SV57 @ SV123 ) ) ) )
= $true )
| ( ( ( poly_real2 @ SV57 @ SV218 )
!= zero_zero_real )
= $true )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1626]) ).
thf(1727,plain,
! [SV126: nat > real,SV60: real,SV206: nat,SV175: nat] :
( ( ( ! [SY676: nat] :
( ~ ( ord_less_nat @ ( sK31_SY513 @ SV175 @ SV206 @ SV60 @ SV126 ) @ SY676 )
| ( ord_less_real @ ( SV126 @ ( sK31_SY513 @ SV175 @ SV206 @ SV60 @ SV126 ) ) @ ( SV126 @ SY676 ) ) ) )
= $false )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV206 ) )
= $true )
| ( ( ord_less_nat @ SV175 @ SV206 )
= $false )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV175 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1627]) ).
thf(1728,plain,
! [SV61: real,SV127: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sK15_SY515 @ SV127 @ SV61 ) )
| ~ ( ord_less_real @ ( sK15_SY515 @ SV127 @ SV61 ) @ SV61 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1628]) ).
thf(1729,plain,
! [SV61: real,SV127: real] :
( ( ( ~ ( ord_less_real @ ( sK15_SY515 @ SV127 @ SV61 ) @ SV127 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1628]) ).
thf(1730,plain,
! [SV176: nat > real,SV64: nat,SV207: real,SV130: nat] :
( ( ( ! [SY677: nat] :
( ~ ( ord_less_nat @ ( sK32_SY601 @ SV130 @ SV207 @ SV64 @ SV176 ) @ SY677 )
| ( ord_less_real @ ( SV176 @ ( sK32_SY601 @ SV130 @ SV207 @ SV64 @ SV176 ) ) @ ( SV176 @ SY677 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV176 @ SV64 ) @ SV207 )
= $true )
| ( ( ord_less_real @ ( SV176 @ SV130 ) @ SV207 )
= $false )
| ( ( ord_less_nat @ SV64 @ SV130 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1631]) ).
thf(1731,plain,
! [SV136: real,SV179: poly_real,SV70: real] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV70 @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) )
| ~ ( ord_less_real @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) @ SV136 ) )
| ( ( poly_real2 @ SV179 @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1632]) ).
thf(1732,plain,
! [SV180: real > nat,SV72: real,SV208: nat,SV138: real] :
( ( ( ! [SY678: real] :
( ~ ( ord_less_real @ ( sK34_SY605 @ SV138 @ SV208 @ SV72 @ SV180 ) @ SY678 )
| ( ord_less_nat @ ( SV180 @ ( sK34_SY605 @ SV138 @ SV208 @ SV72 @ SV180 ) ) @ ( SV180 @ SY678 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( SV180 @ SV72 ) @ SV208 )
= $true )
| ( ( ord_less_nat @ ( SV180 @ SV138 ) @ SV208 )
= $false )
| ( ( ord_less_real @ SV72 @ SV138 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1633]) ).
thf(1733,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ! [SY409: real] : ( SV74 @ SY409 @ SY409 ) )
= $false )
| ( ( ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true )
| ( ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1634]) ).
thf(1734,plain,
! [SV140: real,SV182: real,SV74: real > real > $o] :
( ( ( SV74 @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true )
| ( ( SV74 @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1635]) ).
thf(1735,plain,
! [SV183: nat > real,SV75: nat,SV209: real,SV141: nat] :
( ( ( ! [SY679: nat] :
( ~ ( ord_less_eq_nat @ ( sK36_SY613 @ SV141 @ SV209 @ SV75 @ SV183 ) @ SY679 )
| ( ord_less_eq_real @ ( SV183 @ ( sK36_SY613 @ SV141 @ SV209 @ SV75 @ SV183 ) ) @ ( SV183 @ SY679 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV183 @ SV75 ) @ SV209 )
= $true )
| ( ( ord_less_real @ ( SV183 @ SV141 ) @ SV209 )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV141 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1636]) ).
thf(1736,plain,
! [SV184: real > real,SV76: real,SV210: real,SV142: real] :
( ( ( ! [SY680: real] :
( ~ ( ord_less_eq_real @ ( sK37_SY616 @ SV142 @ SV210 @ SV76 @ SV184 ) @ SY680 )
| ( ord_less_eq_real @ ( SV184 @ ( sK37_SY616 @ SV142 @ SV210 @ SV76 @ SV184 ) ) @ ( SV184 @ SY680 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV184 @ SV76 ) @ SV210 )
= $true )
| ( ( ord_less_real @ ( SV184 @ SV142 ) @ SV210 )
= $false )
| ( ( ord_less_eq_real @ SV76 @ SV142 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1637]) ).
thf(1737,plain,
! [SV143: real > nat,SV77: nat,SV211: real,SV185: real] :
( ( ( ! [SY681: real] :
( ~ ( ord_less_real @ ( sK38_SY546 @ SV185 @ SV211 @ SV77 @ SV143 ) @ SY681 )
| ( ord_less_nat @ ( SV143 @ ( sK38_SY546 @ SV185 @ SV211 @ SV77 @ SV143 ) ) @ ( SV143 @ SY681 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV77 @ ( SV143 @ SV211 ) )
= $true )
| ( ( ord_less_real @ SV185 @ SV211 )
= $false )
| ( ( SV77
= ( SV143 @ SV185 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1638]) ).
thf(1738,plain,
! [SV144: real > real,SV78: real,SV212: real,SV186: real] :
( ( ( ! [SY682: real] :
( ~ ( ord_less_real @ ( sK39_SY550 @ SV186 @ SV212 @ SV78 @ SV144 ) @ SY682 )
| ( ord_less_real @ ( SV144 @ ( sK39_SY550 @ SV186 @ SV212 @ SV78 @ SV144 ) ) @ ( SV144 @ SY682 ) ) ) )
= $false )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV212 ) )
= $true )
| ( ( ord_less_real @ SV186 @ SV212 )
= $false )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV186 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1639]) ).
thf(1739,plain,
! [SV219: real,SV148: real,SV82: poly_real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SV219 )
| ~ ( ord_less_real @ SV219 @ SV148 ) ) )
= $true )
| ( ( ( poly_real2 @ SV82 @ SV219 )
!= zero_zero_real )
= $true )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1640]) ).
thf(1740,plain,
! [SV149: nat > real,SV83: real,SV213: nat,SV188: nat] :
( ( ( ! [SY683: nat] :
( ~ ( ord_less_nat @ ( sK40_SY557 @ SV188 @ SV213 @ SV83 @ SV149 ) @ SY683 )
| ( ord_less_real @ ( SV149 @ ( sK40_SY557 @ SV188 @ SV213 @ SV83 @ SV149 ) ) @ ( SV149 @ SY683 ) ) ) )
= $false )
| ( ( ord_less_real @ SV83 @ ( SV149 @ SV213 ) )
= $true )
| ( ( ord_less_nat @ SV188 @ SV213 )
= $false )
| ( ( SV83
= ( SV149 @ SV188 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1641]) ).
thf(1741,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ! [SV222: real] :
( ( poly_real2 @ SV4 @ SV222 )
= ( poly_real2 @ SV84 @ SV222 ) ) )
= $true )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV214 @ SV84 @ SV4 ) )
= ( poly_real2 @ SV84 @ ( sK12_SV214 @ SV84 @ SV4 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1642]) ).
thf(1742,plain,
! [SV84: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $true )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV214 @ SV84 @ SV4 ) )
= ( poly_real2 @ SV84 @ ( sK12_SV214 @ SV84 @ SV4 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1642]) ).
thf(1743,plain,
! [SV84: poly_real,SV223: real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 @ SV223 )
= ( poly_real2 @ SV84 @ SV223 ) )
= $true )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV84 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1644]) ).
thf(1744,plain,
! [SV85: real,SV150: real,SV5: real] :
( ( ( ord_less_real @ SV5 @ SV150 )
= $true )
| ( ( ord_less_real @ SV85 @ SV150 )
= $true )
| ( ( ord_less_real @ SV5 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1649]) ).
thf(1745,plain,
! [SV85: real,SV150: real,SV5: real] :
( ( ( ord_less_real @ SV5 @ SV150 )
= $true )
| ( ( ord_less_real @ SV85 @ SV150 )
= $true )
| ( ( ord_less_real @ SV85 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1651]) ).
thf(1746,plain,
! [SV190: real,SV87: real] :
( ( ( ord_less_real @ SV87 @ SV190 )
= $true )
| ( ( SV87 = SV190 )
= $true )
| ( ( ord_less_eq_real @ SV87 @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1653]) ).
thf(1747,plain,
! [SV190: real,SV87: real] :
( ( ( ord_less_eq_real @ SV87 @ SV190 )
= $true )
| ( ( ord_less_real @ SV87 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1654]) ).
thf(1748,plain,
! [SV190: real,SV87: real] :
( ( ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) )
= $true )
| ( ( ord_less_real @ SV87 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1655]) ).
thf(1749,plain,
! [SV190: real,SV87: real] :
( ( ( ord_less_eq_real @ SV87 @ SV190 )
= $true )
| ( ( SV87 = SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1656]) ).
thf(1750,plain,
! [SV190: real,SV87: real] :
( ( ( ( ord_less_real @ SV87 @ SV190 )
| ( SV87 = SV190 ) )
= $true )
| ( ( SV87 = SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1657]) ).
thf(1751,plain,
! [SV191: real,SV90: real] :
( ( ( ord_less_real @ SV90 @ SV191 )
= $true )
| ( ( SV90 = SV191 )
= $true )
| ( ( ord_less_eq_real @ SV90 @ SV191 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1665]) ).
thf(1752,plain,
! [SV191: real,SV90: real] :
( ( ( ord_less_eq_real @ SV90 @ SV191 )
= $true )
| ( ( ord_less_real @ SV90 @ SV191 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1666]) ).
thf(1753,plain,
! [SV191: real,SV90: real] :
( ( ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) )
= $true )
| ( ( ord_less_real @ SV90 @ SV191 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1754,plain,
! [SV191: real,SV90: real] :
( ( ( ord_less_eq_real @ SV90 @ SV191 )
= $true )
| ( ( SV90 = SV191 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1668]) ).
thf(1755,plain,
! [SV191: real,SV90: real] :
( ( ( ( ord_less_real @ SV90 @ SV191 )
| ( SV90 = SV191 ) )
= $true )
| ( ( SV90 = SV191 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1669]) ).
thf(1756,plain,
! [SV21: $o] :
( ( ( SV21
| $false )
= $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1670]) ).
thf(1757,plain,
! [SV21: $o] :
( ( ( SV21
| $false )
= $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1671]) ).
thf(1758,plain,
! [SV21: $o] :
( ( ( SV21
| $false )
= $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1759,plain,
! [SV21: $o] :
( ( ( SV21
| $false )
= $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1673]) ).
thf(1760,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1674]) ).
thf(1761,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1675]) ).
thf(1762,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1676]) ).
thf(1763,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1677]) ).
thf(1764,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1678]) ).
thf(1765,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1679]) ).
thf(1766,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1680]) ).
thf(1767,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1768,plain,
! [SV91: real > real,SV22: real,SV192: real,SV154: real] :
( ( ( ~ ( ord_less_real @ ( sK20_SY451 @ SV154 @ SV192 @ SV22 @ SV91 ) @ ( sK41_SY666 @ SV91 @ SV22 @ SV192 @ SV154 ) )
| ( ord_less_real @ ( SV91 @ ( sK20_SY451 @ SV154 @ SV192 @ SV22 @ SV91 ) ) @ ( SV91 @ ( sK41_SY666 @ SV91 @ SV22 @ SV192 @ SV154 ) ) ) )
= $false )
| ( ( ord_less_real @ SV22 @ ( SV91 @ SV192 ) )
= $true )
| ( ( ord_less_real @ SV154 @ SV192 )
= $false )
| ( ( SV22
= ( SV91 @ SV154 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1682]) ).
thf(1769,plain,
! [SV193: real,SV93: real] :
( ( ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) )
= $false )
| ( ( ord_less_real @ SV93 @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1684]) ).
thf(1770,plain,
! [SV193: real,SV93: real] :
( ( ( SV93 != SV193 )
= $false )
| ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV93 @ SV193 )
| ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1685]) ).
thf(1771,plain,
! [SV94: real > nat,SV25: nat,SV194: real,SV157: real] :
( ( ( ~ ( ord_less_real @ ( sK21_SY457 @ SV157 @ SV194 @ SV25 @ SV94 ) @ ( sK42_SY667 @ SV94 @ SV25 @ SV194 @ SV157 ) )
| ( ord_less_nat @ ( SV94 @ ( sK21_SY457 @ SV157 @ SV194 @ SV25 @ SV94 ) ) @ ( SV94 @ ( sK42_SY667 @ SV94 @ SV25 @ SV194 @ SV157 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV194 ) )
= $true )
| ( ( ord_less_real @ SV157 @ SV194 )
= $false )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV157 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1686]) ).
thf(1772,plain,
! [SV95: real > real,SV26: real,SV195: real,SV158: real] :
( ( ( ~ ( ord_less_real @ ( sK22_SY461 @ SV158 @ SV195 @ SV26 @ SV95 ) @ ( sK43_SY668 @ SV95 @ SV26 @ SV195 @ SV158 ) )
| ( ord_less_real @ ( SV95 @ ( sK22_SY461 @ SV158 @ SV195 @ SV26 @ SV95 ) ) @ ( SV95 @ ( sK43_SY668 @ SV95 @ SV26 @ SV195 @ SV158 ) ) ) )
= $false )
| ( ( ord_less_real @ SV26 @ ( SV95 @ SV195 ) )
= $true )
| ( ( ord_less_real @ SV158 @ SV195 )
= $false )
| ( ( ord_less_eq_real @ SV26 @ ( SV95 @ SV158 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1687]) ).
thf(1773,plain,
! [SV30: real,SV99: real] :
( ( ( ~ ~ ( ord_less_real @ SV99 @ SV30 ) )
= $false )
| ( ( ord_less_real @ SV99 @ SV30 )
= $true )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1774,plain,
! [SV30: real,SV99: real] :
( ( ( SV99 != SV30 )
= $false )
| ( ( ord_less_real @ SV99 @ SV30 )
= $true )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1775,plain,
! [SV30: real,SV99: real] :
( ( ( ~ ( ord_less_real @ SV99 @ SV30 ) )
= $true )
| ( ( SV99 = SV30 )
= $false )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1695]) ).
thf(1776,plain,
! [SV30: real,SV99: real] :
( ( ( SV99 = SV30 )
= $true )
| ( ( SV99 = SV30 )
= $false )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1696]) ).
thf(1777,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1697]) ).
thf(1778,plain,
! [SV33: real,SV102: real,SV159: poly_real] :
( ( ( ~ ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1697]) ).
thf(1779,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $false )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1698]) ).
thf(1780,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1698]) ).
thf(1781,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
| ~ ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1699]) ).
thf(1782,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1700]) ).
thf(1783,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1700]) ).
thf(1784,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
| ~ ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1701]) ).
thf(1785,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1702]) ).
thf(1786,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1702]) ).
thf(1787,plain,
! [SV160: real > real,SV34: real,SV197: real,SV103: real] :
( ( ( ~ ( ord_less_real @ ( sK23_SY573 @ SV103 @ SV197 @ SV34 @ SV160 ) @ ( sK44_SY669 @ SV160 @ SV34 @ SV197 @ SV103 ) )
| ( ord_less_real @ ( SV160 @ ( sK23_SY573 @ SV103 @ SV197 @ SV34 @ SV160 ) ) @ ( SV160 @ ( sK44_SY669 @ SV160 @ SV34 @ SV197 @ SV103 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV160 @ SV34 ) @ SV197 )
= $true )
| ( ( ( SV160 @ SV103 )
= SV197 )
= $false )
| ( ( ord_less_real @ SV34 @ SV103 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1703]) ).
thf(1788,plain,
! [SV106: nat > real,SV37: real,SV198: nat,SV162: nat] :
( ( ( ~ ( ord_less_nat @ ( sK24_SY475 @ SV162 @ SV198 @ SV37 @ SV106 ) @ ( sK45_SY670 @ SV106 @ SV37 @ SV198 @ SV162 ) )
| ( ord_less_real @ ( SV106 @ ( sK24_SY475 @ SV162 @ SV198 @ SV37 @ SV106 ) ) @ ( SV106 @ ( sK45_SY670 @ SV106 @ SV37 @ SV198 @ SV162 ) ) ) )
= $false )
| ( ( ord_less_real @ SV37 @ ( SV106 @ SV198 ) )
= $true )
| ( ( ord_less_nat @ SV162 @ SV198 )
= $false )
| ( ( ord_less_eq_real @ SV37 @ ( SV106 @ SV162 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1704]) ).
thf(1789,plain,
! [SV107: real,SV163: poly_real,SV38: real] :
( ( ( ~ ( ~ ~ ( ~ ( ord_less_real @ SV38 @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) )
| ~ ( ord_less_real @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) @ SV107 ) )
| ( ( poly_real2 @ SV163 @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1705]) ).
thf(1790,plain,
! [SV108: real > nat,SV40: nat,SV199: real,SV164: real] :
( ( ( ~ ( ord_less_real @ ( sK26_SY481 @ SV164 @ SV199 @ SV40 @ SV108 ) @ ( sK46_SY671 @ SV108 @ SV40 @ SV199 @ SV164 ) )
| ( ord_less_nat @ ( SV108 @ ( sK26_SY481 @ SV164 @ SV199 @ SV40 @ SV108 ) ) @ ( SV108 @ ( sK46_SY671 @ SV108 @ SV40 @ SV199 @ SV164 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV40 @ ( SV108 @ SV199 ) )
= $true )
| ( ( ord_less_real @ SV164 @ SV199 )
= $false )
| ( ( ord_less_eq_nat @ SV40 @ ( SV108 @ SV164 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1706]) ).
thf(1791,plain,
! [SV165: real > real,SV42: real,SV200: real,SV110: real] :
( ( ( ~ ( ord_less_real @ ( sK27_SY583 @ SV110 @ SV200 @ SV42 @ SV165 ) @ ( sK47_SY672 @ SV165 @ SV42 @ SV200 @ SV110 ) )
| ( ord_less_real @ ( SV165 @ ( sK27_SY583 @ SV110 @ SV200 @ SV42 @ SV165 ) ) @ ( SV165 @ ( sK47_SY672 @ SV165 @ SV42 @ SV200 @ SV110 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV165 @ SV42 ) @ SV200 )
= $true )
| ( ( ord_less_real @ ( SV165 @ SV110 ) @ SV200 )
= $false )
| ( ( ord_less_real @ SV42 @ SV110 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1707]) ).
thf(1792,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) )
= $false )
| ( ( ord_less_real @ SV111 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1793,plain,
! [SV201: real,SV111: real] :
( ( ( SV111 != SV201 )
= $false )
| ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV111 @ SV201 )
| ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1710]) ).
thf(1794,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1795,plain,
! [SV47: real,SV115: real,SV169: poly_real] :
( ( ( ~ ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1796,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $false )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1712]) ).
thf(1797,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1712]) ).
thf(1798,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
| ~ ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1713]) ).
thf(1799,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1714]) ).
thf(1800,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1714]) ).
thf(1801,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
| ~ ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1802,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1716]) ).
thf(1803,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1716]) ).
thf(1804,plain,
! [SV170: nat > real,SV48: nat,SV202: real,SV116: nat] :
( ( ( ~ ( ord_less_nat @ ( sK28_SY589 @ SV116 @ SV202 @ SV48 @ SV170 ) @ ( sK48_SY673 @ SV170 @ SV48 @ SV202 @ SV116 ) )
| ( ord_less_real @ ( SV170 @ ( sK28_SY589 @ SV116 @ SV202 @ SV48 @ SV170 ) ) @ ( SV170 @ ( sK48_SY673 @ SV170 @ SV48 @ SV202 @ SV116 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV170 @ SV48 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV116 )
= SV202 )
= $false )
| ( ( ord_less_nat @ SV48 @ SV116 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1717]) ).
thf(1805,plain,
! [SV171: real > nat,SV50: real,SV203: nat,SV117: real] :
( ( ( ~ ( ord_less_real @ ( sK29_SY592 @ SV117 @ SV203 @ SV50 @ SV171 ) @ ( sK49_SY674 @ SV171 @ SV50 @ SV203 @ SV117 ) )
| ( ord_less_nat @ ( SV171 @ ( sK29_SY592 @ SV117 @ SV203 @ SV50 @ SV171 ) ) @ ( SV171 @ ( sK49_SY674 @ SV171 @ SV50 @ SV203 @ SV117 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( SV171 @ SV50 ) @ SV203 )
= $true )
| ( ( ( SV171 @ SV117 )
= SV203 )
= $false )
| ( ( ord_less_real @ SV50 @ SV117 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1718]) ).
thf(1806,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ord_less_real @ SV53 @ SV119 ) )
= $false )
| ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1719]) ).
thf(1807,plain,
! [SV119: real,SV173: real,SV53: real] :
( ( ( ~ ( ord_less_real @ SV53 @ SV173 ) )
= $false )
| ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1719]) ).
thf(1808,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
| ~ ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) )
= $false )
| ( ( ord_less_real @ SV53 @ SV119 )
= $false )
| ( ( ord_less_real @ SV53 @ SV173 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1809,plain,
! [SV121: nat > real,SV55: real,SV205: nat,SV174: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK30_SY507 @ SV174 @ SV205 @ SV55 @ SV121 ) @ ( sK50_SY675 @ SV121 @ SV55 @ SV205 @ SV174 ) )
| ( ord_less_eq_real @ ( SV121 @ ( sK30_SY507 @ SV174 @ SV205 @ SV55 @ SV121 ) ) @ ( SV121 @ ( sK50_SY675 @ SV121 @ SV55 @ SV205 @ SV174 ) ) ) )
= $false )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV205 ) )
= $true )
| ( ( ord_less_eq_nat @ SV174 @ SV205 )
= $false )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV174 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1721]) ).
thf(1810,plain,
! [SV56: poly_real,SV122: real] :
( ( ( ( order_real @ SV122 @ SV56 )
= zero_zero_nat )
= $false )
| ( ( SV56 = zero_zero_poly_real )
= $true )
| ( ( SV56 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1723]) ).
thf(1811,plain,
! [SV122: real,SV56: poly_real] :
( ( ( SV56 = zero_zero_poly_real )
= $true )
| ( ( ( order_real @ SV122 @ SV56 )
!= zero_zero_nat )
= $true )
| ( ( ( order_real @ SV122 @ SV56 )
= zero_zero_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1725]) ).
thf(1812,plain,
! [SV57: poly_real,SV218: real,SV123: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV123 @ SV218 )
| ~ ( ord_less_eq_real @ SV218 @ ( sK9_SY509 @ SV57 @ SV123 ) ) ) )
= $false )
| ( ( ( poly_real2 @ SV57 @ SV218 )
!= zero_zero_real )
= $true )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1726]) ).
thf(1813,plain,
! [SV126: nat > real,SV60: real,SV206: nat,SV175: nat] :
( ( ( ~ ( ord_less_nat @ ( sK31_SY513 @ SV175 @ SV206 @ SV60 @ SV126 ) @ ( sK51_SY676 @ SV126 @ SV60 @ SV206 @ SV175 ) )
| ( ord_less_real @ ( SV126 @ ( sK31_SY513 @ SV175 @ SV206 @ SV60 @ SV126 ) ) @ ( SV126 @ ( sK51_SY676 @ SV126 @ SV60 @ SV206 @ SV175 ) ) ) )
= $false )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV206 ) )
= $true )
| ( ( ord_less_nat @ SV175 @ SV206 )
= $false )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV175 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1727]) ).
thf(1814,plain,
! [SV61: real,SV127: real] :
( ( ( ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sK15_SY515 @ SV127 @ SV61 ) )
| ~ ( ord_less_real @ ( sK15_SY515 @ SV127 @ SV61 ) @ SV61 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1728]) ).
thf(1815,plain,
! [SV61: real,SV127: real] :
( ( ( ord_less_real @ ( sK15_SY515 @ SV127 @ SV61 ) @ SV127 )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1729]) ).
thf(1816,plain,
! [SV176: nat > real,SV64: nat,SV207: real,SV130: nat] :
( ( ( ~ ( ord_less_nat @ ( sK32_SY601 @ SV130 @ SV207 @ SV64 @ SV176 ) @ ( sK52_SY677 @ SV176 @ SV64 @ SV207 @ SV130 ) )
| ( ord_less_real @ ( SV176 @ ( sK32_SY601 @ SV130 @ SV207 @ SV64 @ SV176 ) ) @ ( SV176 @ ( sK52_SY677 @ SV176 @ SV64 @ SV207 @ SV130 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV176 @ SV64 ) @ SV207 )
= $true )
| ( ( ord_less_real @ ( SV176 @ SV130 ) @ SV207 )
= $false )
| ( ( ord_less_nat @ SV64 @ SV130 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1730]) ).
thf(1817,plain,
! [SV136: real,SV179: poly_real,SV70: real] :
( ( ( ~ ( ~ ~ ( ~ ( ord_less_real @ SV70 @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) )
| ~ ( ord_less_real @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) @ SV136 ) )
| ( ( poly_real2 @ SV179 @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1731]) ).
thf(1818,plain,
! [SV180: real > nat,SV72: real,SV208: nat,SV138: real] :
( ( ( ~ ( ord_less_real @ ( sK34_SY605 @ SV138 @ SV208 @ SV72 @ SV180 ) @ ( sK53_SY678 @ SV180 @ SV72 @ SV208 @ SV138 ) )
| ( ord_less_nat @ ( SV180 @ ( sK34_SY605 @ SV138 @ SV208 @ SV72 @ SV180 ) ) @ ( SV180 @ ( sK53_SY678 @ SV180 @ SV72 @ SV208 @ SV138 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( SV180 @ SV72 ) @ SV208 )
= $true )
| ( ( ord_less_nat @ ( SV180 @ SV138 ) @ SV208 )
= $false )
| ( ( ord_less_real @ SV72 @ SV138 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1732]) ).
thf(1819,plain,
! [SV140: real,SV182: real,SV74: real > real > $o] :
( ( ( SV74 @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) )
| ( SV74 @ SV140 @ SV182 ) )
= $true )
| ( ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1733]) ).
thf(1820,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) ) )
= $true )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( SV74 @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1734]) ).
thf(1821,plain,
! [SV183: nat > real,SV75: nat,SV209: real,SV141: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK36_SY613 @ SV141 @ SV209 @ SV75 @ SV183 ) @ ( sK55_SY679 @ SV183 @ SV75 @ SV209 @ SV141 ) )
| ( ord_less_eq_real @ ( SV183 @ ( sK36_SY613 @ SV141 @ SV209 @ SV75 @ SV183 ) ) @ ( SV183 @ ( sK55_SY679 @ SV183 @ SV75 @ SV209 @ SV141 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV183 @ SV75 ) @ SV209 )
= $true )
| ( ( ord_less_real @ ( SV183 @ SV141 ) @ SV209 )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV141 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1735]) ).
thf(1822,plain,
! [SV184: real > real,SV76: real,SV210: real,SV142: real] :
( ( ( ~ ( ord_less_eq_real @ ( sK37_SY616 @ SV142 @ SV210 @ SV76 @ SV184 ) @ ( sK56_SY680 @ SV184 @ SV76 @ SV210 @ SV142 ) )
| ( ord_less_eq_real @ ( SV184 @ ( sK37_SY616 @ SV142 @ SV210 @ SV76 @ SV184 ) ) @ ( SV184 @ ( sK56_SY680 @ SV184 @ SV76 @ SV210 @ SV142 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV184 @ SV76 ) @ SV210 )
= $true )
| ( ( ord_less_real @ ( SV184 @ SV142 ) @ SV210 )
= $false )
| ( ( ord_less_eq_real @ SV76 @ SV142 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1736]) ).
thf(1823,plain,
! [SV143: real > nat,SV77: nat,SV211: real,SV185: real] :
( ( ( ~ ( ord_less_real @ ( sK38_SY546 @ SV185 @ SV211 @ SV77 @ SV143 ) @ ( sK57_SY681 @ SV143 @ SV77 @ SV211 @ SV185 ) )
| ( ord_less_nat @ ( SV143 @ ( sK38_SY546 @ SV185 @ SV211 @ SV77 @ SV143 ) ) @ ( SV143 @ ( sK57_SY681 @ SV143 @ SV77 @ SV211 @ SV185 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV77 @ ( SV143 @ SV211 ) )
= $true )
| ( ( ord_less_real @ SV185 @ SV211 )
= $false )
| ( ( SV77
= ( SV143 @ SV185 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1737]) ).
thf(1824,plain,
! [SV144: real > real,SV78: real,SV212: real,SV186: real] :
( ( ( ~ ( ord_less_real @ ( sK39_SY550 @ SV186 @ SV212 @ SV78 @ SV144 ) @ ( sK58_SY682 @ SV144 @ SV78 @ SV212 @ SV186 ) )
| ( ord_less_real @ ( SV144 @ ( sK39_SY550 @ SV186 @ SV212 @ SV78 @ SV144 ) ) @ ( SV144 @ ( sK58_SY682 @ SV144 @ SV78 @ SV212 @ SV186 ) ) ) )
= $false )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV212 ) )
= $true )
| ( ( ord_less_real @ SV186 @ SV212 )
= $false )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV186 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1738]) ).
thf(1825,plain,
! [SV219: real,SV148: real,SV82: poly_real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SV219 )
| ~ ( ord_less_real @ SV219 @ SV148 ) ) )
= $false )
| ( ( ( poly_real2 @ SV82 @ SV219 )
!= zero_zero_real )
= $true )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1739]) ).
thf(1826,plain,
! [SV149: nat > real,SV83: real,SV213: nat,SV188: nat] :
( ( ( ~ ( ord_less_nat @ ( sK40_SY557 @ SV188 @ SV213 @ SV83 @ SV149 ) @ ( sK59_SY683 @ SV149 @ SV83 @ SV213 @ SV188 ) )
| ( ord_less_real @ ( SV149 @ ( sK40_SY557 @ SV188 @ SV213 @ SV83 @ SV149 ) ) @ ( SV149 @ ( sK59_SY683 @ SV149 @ SV83 @ SV213 @ SV188 ) ) ) )
= $false )
| ( ( ord_less_real @ SV83 @ ( SV149 @ SV213 ) )
= $true )
| ( ( ord_less_nat @ SV188 @ SV213 )
= $false )
| ( ( SV83
= ( SV149 @ SV188 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1740]) ).
thf(1827,plain,
! [SV84: poly_real,SV224: real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 @ SV224 )
= ( poly_real2 @ SV84 @ SV224 ) )
= $true )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV214 @ SV84 @ SV4 ) )
= ( poly_real2 @ SV84 @ ( sK12_SV214 @ SV84 @ SV4 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1741]) ).
thf(1828,plain,
! [SV190: real,SV87: real] :
( ( ( ord_less_real @ SV87 @ SV190 )
= $true )
| ( ( SV87 = SV190 )
= $true )
| ( ( ord_less_real @ SV87 @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1748]) ).
thf(1829,plain,
! [SV190: real,SV87: real] :
( ( ( ord_less_real @ SV87 @ SV190 )
= $true )
| ( ( SV87 = SV190 )
= $true )
| ( ( SV87 = SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1750]) ).
thf(1830,plain,
! [SV191: real,SV90: real] :
( ( ( ord_less_real @ SV90 @ SV191 )
= $true )
| ( ( SV90 = SV191 )
= $true )
| ( ( ord_less_real @ SV90 @ SV191 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1753]) ).
thf(1831,plain,
! [SV191: real,SV90: real] :
( ( ( ord_less_real @ SV90 @ SV191 )
= $true )
| ( ( SV90 = SV191 )
= $true )
| ( ( SV90 = SV191 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1755]) ).
thf(1832,plain,
! [SV21: $o] :
( ( SV21 = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1756]) ).
thf(1833,plain,
! [SV21: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1756]) ).
thf(1834,plain,
! [SV21: $o] :
( ( SV21 = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1757]) ).
thf(1835,plain,
! [SV21: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1757]) ).
thf(1836,plain,
! [SV21: $o] :
( ( SV21 = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1758]) ).
thf(1837,plain,
! [SV21: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1758]) ).
thf(1838,plain,
! [SV21: $o] :
( ( SV21 = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1759]) ).
thf(1839,plain,
! [SV21: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1759]) ).
thf(1840,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1841,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1842,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1761]) ).
thf(1843,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1761]) ).
thf(1844,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1762]) ).
thf(1845,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1762]) ).
thf(1846,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1763]) ).
thf(1847,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1763]) ).
thf(1848,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1764]) ).
thf(1849,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1764]) ).
thf(1850,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1765]) ).
thf(1851,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1765]) ).
thf(1852,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1766]) ).
thf(1853,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1766]) ).
thf(1854,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1767]) ).
thf(1855,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1767]) ).
thf(1856,plain,
! [SV91: real > real,SV22: real,SV192: real,SV154: real] :
( ( ( ~ ( ord_less_real @ ( sK20_SY451 @ SV154 @ SV192 @ SV22 @ SV91 ) @ ( sK41_SY666 @ SV91 @ SV22 @ SV192 @ SV154 ) ) )
= $false )
| ( ( ord_less_real @ SV22 @ ( SV91 @ SV192 ) )
= $true )
| ( ( ord_less_real @ SV154 @ SV192 )
= $false )
| ( ( SV22
= ( SV91 @ SV154 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1768]) ).
thf(1857,plain,
! [SV22: real,SV192: real,SV154: real,SV91: real > real] :
( ( ( ord_less_real @ ( SV91 @ ( sK20_SY451 @ SV154 @ SV192 @ SV22 @ SV91 ) ) @ ( SV91 @ ( sK41_SY666 @ SV91 @ SV22 @ SV192 @ SV154 ) ) )
= $false )
| ( ( ord_less_real @ SV22 @ ( SV91 @ SV192 ) )
= $true )
| ( ( ord_less_real @ SV154 @ SV192 )
= $false )
| ( ( SV22
= ( SV91 @ SV154 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1768]) ).
thf(1858,plain,
! [SV193: real,SV93: real] :
( ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( ord_less_real @ SV93 @ SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1769]) ).
thf(1859,plain,
! [SV193: real,SV93: real] :
( ( ( ~ ( ( SV93 != SV193 ) ) )
= $false )
| ( ( ord_less_real @ SV93 @ SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1769]) ).
thf(1860,plain,
! [SV193: real,SV93: real] :
( ( ( SV93 = SV193 )
= $true )
| ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV93 @ SV193 )
| ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1770]) ).
thf(1861,plain,
! [SV94: real > nat,SV25: nat,SV194: real,SV157: real] :
( ( ( ~ ( ord_less_real @ ( sK21_SY457 @ SV157 @ SV194 @ SV25 @ SV94 ) @ ( sK42_SY667 @ SV94 @ SV25 @ SV194 @ SV157 ) ) )
= $false )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV194 ) )
= $true )
| ( ( ord_less_real @ SV157 @ SV194 )
= $false )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1771]) ).
thf(1862,plain,
! [SV25: nat,SV194: real,SV157: real,SV94: real > nat] :
( ( ( ord_less_nat @ ( SV94 @ ( sK21_SY457 @ SV157 @ SV194 @ SV25 @ SV94 ) ) @ ( SV94 @ ( sK42_SY667 @ SV94 @ SV25 @ SV194 @ SV157 ) ) )
= $false )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV194 ) )
= $true )
| ( ( ord_less_real @ SV157 @ SV194 )
= $false )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1771]) ).
thf(1863,plain,
! [SV95: real > real,SV26: real,SV195: real,SV158: real] :
( ( ( ~ ( ord_less_real @ ( sK22_SY461 @ SV158 @ SV195 @ SV26 @ SV95 ) @ ( sK43_SY668 @ SV95 @ SV26 @ SV195 @ SV158 ) ) )
= $false )
| ( ( ord_less_real @ SV26 @ ( SV95 @ SV195 ) )
= $true )
| ( ( ord_less_real @ SV158 @ SV195 )
= $false )
| ( ( ord_less_eq_real @ SV26 @ ( SV95 @ SV158 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1772]) ).
thf(1864,plain,
! [SV26: real,SV195: real,SV158: real,SV95: real > real] :
( ( ( ord_less_real @ ( SV95 @ ( sK22_SY461 @ SV158 @ SV195 @ SV26 @ SV95 ) ) @ ( SV95 @ ( sK43_SY668 @ SV95 @ SV26 @ SV195 @ SV158 ) ) )
= $false )
| ( ( ord_less_real @ SV26 @ ( SV95 @ SV195 ) )
= $true )
| ( ( ord_less_real @ SV158 @ SV195 )
= $false )
| ( ( ord_less_eq_real @ SV26 @ ( SV95 @ SV158 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1772]) ).
thf(1865,plain,
! [SV30: real,SV99: real] :
( ( ( ~ ( ord_less_real @ SV99 @ SV30 ) )
= $true )
| ( ( ord_less_real @ SV99 @ SV30 )
= $true )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(1866,plain,
! [SV30: real,SV99: real] :
( ( ( SV99 = SV30 )
= $true )
| ( ( ord_less_real @ SV99 @ SV30 )
= $true )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1774]) ).
thf(1867,plain,
! [SV30: real,SV99: real] :
( ( ( ord_less_real @ SV99 @ SV30 )
= $false )
| ( ( SV99 = SV30 )
= $false )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1775]) ).
thf(1868,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1777]) ).
thf(1869,plain,
! [SV33: real,SV102: real,SV159: poly_real] :
( ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1778]) ).
thf(1870,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1779]) ).
thf(1871,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1780]) ).
thf(1872,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1781]) ).
thf(1873,plain,
! [SV33: real,SV102: real,SV159: poly_real] :
( ( ( ~ ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1781]) ).
thf(1874,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1782]) ).
thf(1875,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1783]) ).
thf(1876,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1877,plain,
! [SV33: real,SV102: real,SV159: poly_real] :
( ( ( ~ ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 ) )
= $false )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1878,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1785]) ).
thf(1879,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1786]) ).
thf(1880,plain,
! [SV160: real > real,SV34: real,SV197: real,SV103: real] :
( ( ( ~ ( ord_less_real @ ( sK23_SY573 @ SV103 @ SV197 @ SV34 @ SV160 ) @ ( sK44_SY669 @ SV160 @ SV34 @ SV197 @ SV103 ) ) )
= $false )
| ( ( ord_less_real @ ( SV160 @ SV34 ) @ SV197 )
= $true )
| ( ( ( SV160 @ SV103 )
= SV197 )
= $false )
| ( ( ord_less_real @ SV34 @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1787]) ).
thf(1881,plain,
! [SV34: real,SV197: real,SV103: real,SV160: real > real] :
( ( ( ord_less_real @ ( SV160 @ ( sK23_SY573 @ SV103 @ SV197 @ SV34 @ SV160 ) ) @ ( SV160 @ ( sK44_SY669 @ SV160 @ SV34 @ SV197 @ SV103 ) ) )
= $false )
| ( ( ord_less_real @ ( SV160 @ SV34 ) @ SV197 )
= $true )
| ( ( ( SV160 @ SV103 )
= SV197 )
= $false )
| ( ( ord_less_real @ SV34 @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1787]) ).
thf(1882,plain,
! [SV106: nat > real,SV37: real,SV198: nat,SV162: nat] :
( ( ( ~ ( ord_less_nat @ ( sK24_SY475 @ SV162 @ SV198 @ SV37 @ SV106 ) @ ( sK45_SY670 @ SV106 @ SV37 @ SV198 @ SV162 ) ) )
= $false )
| ( ( ord_less_real @ SV37 @ ( SV106 @ SV198 ) )
= $true )
| ( ( ord_less_nat @ SV162 @ SV198 )
= $false )
| ( ( ord_less_eq_real @ SV37 @ ( SV106 @ SV162 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1788]) ).
thf(1883,plain,
! [SV37: real,SV198: nat,SV162: nat,SV106: nat > real] :
( ( ( ord_less_real @ ( SV106 @ ( sK24_SY475 @ SV162 @ SV198 @ SV37 @ SV106 ) ) @ ( SV106 @ ( sK45_SY670 @ SV106 @ SV37 @ SV198 @ SV162 ) ) )
= $false )
| ( ( ord_less_real @ SV37 @ ( SV106 @ SV198 ) )
= $true )
| ( ( ord_less_nat @ SV162 @ SV198 )
= $false )
| ( ( ord_less_eq_real @ SV37 @ ( SV106 @ SV162 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1788]) ).
thf(1884,plain,
! [SV107: real,SV163: poly_real,SV38: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV38 @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) )
| ~ ( ord_less_real @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) @ SV107 ) )
| ( ( poly_real2 @ SV163 @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) )
!= zero_zero_real ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1789]) ).
thf(1885,plain,
! [SV108: real > nat,SV40: nat,SV199: real,SV164: real] :
( ( ( ~ ( ord_less_real @ ( sK26_SY481 @ SV164 @ SV199 @ SV40 @ SV108 ) @ ( sK46_SY671 @ SV108 @ SV40 @ SV199 @ SV164 ) ) )
= $false )
| ( ( ord_less_nat @ SV40 @ ( SV108 @ SV199 ) )
= $true )
| ( ( ord_less_real @ SV164 @ SV199 )
= $false )
| ( ( ord_less_eq_nat @ SV40 @ ( SV108 @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1790]) ).
thf(1886,plain,
! [SV40: nat,SV199: real,SV164: real,SV108: real > nat] :
( ( ( ord_less_nat @ ( SV108 @ ( sK26_SY481 @ SV164 @ SV199 @ SV40 @ SV108 ) ) @ ( SV108 @ ( sK46_SY671 @ SV108 @ SV40 @ SV199 @ SV164 ) ) )
= $false )
| ( ( ord_less_nat @ SV40 @ ( SV108 @ SV199 ) )
= $true )
| ( ( ord_less_real @ SV164 @ SV199 )
= $false )
| ( ( ord_less_eq_nat @ SV40 @ ( SV108 @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1790]) ).
thf(1887,plain,
! [SV165: real > real,SV42: real,SV200: real,SV110: real] :
( ( ( ~ ( ord_less_real @ ( sK27_SY583 @ SV110 @ SV200 @ SV42 @ SV165 ) @ ( sK47_SY672 @ SV165 @ SV42 @ SV200 @ SV110 ) ) )
= $false )
| ( ( ord_less_real @ ( SV165 @ SV42 ) @ SV200 )
= $true )
| ( ( ord_less_real @ ( SV165 @ SV110 ) @ SV200 )
= $false )
| ( ( ord_less_real @ SV42 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1791]) ).
thf(1888,plain,
! [SV42: real,SV200: real,SV110: real,SV165: real > real] :
( ( ( ord_less_real @ ( SV165 @ ( sK27_SY583 @ SV110 @ SV200 @ SV42 @ SV165 ) ) @ ( SV165 @ ( sK47_SY672 @ SV165 @ SV42 @ SV200 @ SV110 ) ) )
= $false )
| ( ( ord_less_real @ ( SV165 @ SV42 ) @ SV200 )
= $true )
| ( ( ord_less_real @ ( SV165 @ SV110 ) @ SV200 )
= $false )
| ( ( ord_less_real @ SV42 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1791]) ).
thf(1889,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ord_less_eq_real @ SV111 @ SV201 ) )
= $false )
| ( ( ord_less_real @ SV111 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1792]) ).
thf(1890,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ( SV111 != SV201 ) ) )
= $false )
| ( ( ord_less_real @ SV111 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1792]) ).
thf(1891,plain,
! [SV201: real,SV111: real] :
( ( ( SV111 = SV201 )
= $true )
| ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( ~ ( ~ ( ord_less_real @ SV111 @ SV201 )
| ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1793]) ).
thf(1892,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1794]) ).
thf(1893,plain,
! [SV47: real,SV115: real,SV169: poly_real] :
( ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1795]) ).
thf(1894,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1796]) ).
thf(1895,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1797]) ).
thf(1896,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1798]) ).
thf(1897,plain,
! [SV47: real,SV115: real,SV169: poly_real] :
( ( ( ~ ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1798]) ).
thf(1898,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1799]) ).
thf(1899,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1800]) ).
thf(1900,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1801]) ).
thf(1901,plain,
! [SV47: real,SV115: real,SV169: poly_real] :
( ( ( ~ ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 ) )
= $false )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1801]) ).
thf(1902,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1802]) ).
thf(1903,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1803]) ).
thf(1904,plain,
! [SV170: nat > real,SV48: nat,SV202: real,SV116: nat] :
( ( ( ~ ( ord_less_nat @ ( sK28_SY589 @ SV116 @ SV202 @ SV48 @ SV170 ) @ ( sK48_SY673 @ SV170 @ SV48 @ SV202 @ SV116 ) ) )
= $false )
| ( ( ord_less_real @ ( SV170 @ SV48 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV116 )
= SV202 )
= $false )
| ( ( ord_less_nat @ SV48 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1804]) ).
thf(1905,plain,
! [SV48: nat,SV202: real,SV116: nat,SV170: nat > real] :
( ( ( ord_less_real @ ( SV170 @ ( sK28_SY589 @ SV116 @ SV202 @ SV48 @ SV170 ) ) @ ( SV170 @ ( sK48_SY673 @ SV170 @ SV48 @ SV202 @ SV116 ) ) )
= $false )
| ( ( ord_less_real @ ( SV170 @ SV48 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV116 )
= SV202 )
= $false )
| ( ( ord_less_nat @ SV48 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1804]) ).
thf(1906,plain,
! [SV171: real > nat,SV50: real,SV203: nat,SV117: real] :
( ( ( ~ ( ord_less_real @ ( sK29_SY592 @ SV117 @ SV203 @ SV50 @ SV171 ) @ ( sK49_SY674 @ SV171 @ SV50 @ SV203 @ SV117 ) ) )
= $false )
| ( ( ord_less_nat @ ( SV171 @ SV50 ) @ SV203 )
= $true )
| ( ( ( SV171 @ SV117 )
= SV203 )
= $false )
| ( ( ord_less_real @ SV50 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1805]) ).
thf(1907,plain,
! [SV50: real,SV203: nat,SV117: real,SV171: real > nat] :
( ( ( ord_less_nat @ ( SV171 @ ( sK29_SY592 @ SV117 @ SV203 @ SV50 @ SV171 ) ) @ ( SV171 @ ( sK49_SY674 @ SV171 @ SV50 @ SV203 @ SV117 ) ) )
= $false )
| ( ( ord_less_nat @ ( SV171 @ SV50 ) @ SV203 )
= $true )
| ( ( ( SV171 @ SV117 )
= SV203 )
= $false )
| ( ( ord_less_real @ SV50 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1805]) ).
thf(1908,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ord_less_real @ SV53 @ SV119 )
= $true )
| ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1806]) ).
thf(1909,plain,
! [SV119: real,SV173: real,SV53: real] :
( ( ( ord_less_real @ SV53 @ SV173 )
= $true )
| ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1807]) ).
thf(1910,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) ) )
= $false )
| ( ( ord_less_real @ SV53 @ SV119 )
= $false )
| ( ( ord_less_real @ SV53 @ SV173 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1808]) ).
thf(1911,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) )
= $false )
| ( ( ord_less_real @ SV53 @ SV119 )
= $false )
| ( ( ord_less_real @ SV53 @ SV173 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1808]) ).
thf(1912,plain,
! [SV121: nat > real,SV55: real,SV205: nat,SV174: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK30_SY507 @ SV174 @ SV205 @ SV55 @ SV121 ) @ ( sK50_SY675 @ SV121 @ SV55 @ SV205 @ SV174 ) ) )
= $false )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV205 ) )
= $true )
| ( ( ord_less_eq_nat @ SV174 @ SV205 )
= $false )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV174 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1809]) ).
thf(1913,plain,
! [SV55: real,SV205: nat,SV174: nat,SV121: nat > real] :
( ( ( ord_less_eq_real @ ( SV121 @ ( sK30_SY507 @ SV174 @ SV205 @ SV55 @ SV121 ) ) @ ( SV121 @ ( sK50_SY675 @ SV121 @ SV55 @ SV205 @ SV174 ) ) )
= $false )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV205 ) )
= $true )
| ( ( ord_less_eq_nat @ SV174 @ SV205 )
= $false )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV174 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1809]) ).
thf(1914,plain,
! [SV56: poly_real,SV122: real] :
( ( ( ( order_real @ SV122 @ SV56 )
= zero_zero_nat )
= $false )
| ( ( SV56 = zero_zero_poly_real )
= $true )
| ( ( ( order_real @ SV122 @ SV56 )
= zero_zero_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1811]) ).
thf(1915,plain,
! [SV57: poly_real,SV218: real,SV123: real] :
( ( ( ~ ( ord_less_real @ SV123 @ SV218 )
| ~ ( ord_less_eq_real @ SV218 @ ( sK9_SY509 @ SV57 @ SV123 ) ) )
= $true )
| ( ( ( poly_real2 @ SV57 @ SV218 )
!= zero_zero_real )
= $true )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1812]) ).
thf(1916,plain,
! [SV126: nat > real,SV60: real,SV206: nat,SV175: nat] :
( ( ( ~ ( ord_less_nat @ ( sK31_SY513 @ SV175 @ SV206 @ SV60 @ SV126 ) @ ( sK51_SY676 @ SV126 @ SV60 @ SV206 @ SV175 ) ) )
= $false )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV206 ) )
= $true )
| ( ( ord_less_nat @ SV175 @ SV206 )
= $false )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV175 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1813]) ).
thf(1917,plain,
! [SV60: real,SV206: nat,SV175: nat,SV126: nat > real] :
( ( ( ord_less_real @ ( SV126 @ ( sK31_SY513 @ SV175 @ SV206 @ SV60 @ SV126 ) ) @ ( SV126 @ ( sK51_SY676 @ SV126 @ SV60 @ SV206 @ SV175 ) ) )
= $false )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV206 ) )
= $true )
| ( ( ord_less_nat @ SV175 @ SV206 )
= $false )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV175 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1813]) ).
thf(1918,plain,
! [SV61: real,SV127: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ ( sK15_SY515 @ SV127 @ SV61 ) )
| ~ ( ord_less_real @ ( sK15_SY515 @ SV127 @ SV61 ) @ SV61 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1814]) ).
thf(1919,plain,
! [SV176: nat > real,SV64: nat,SV207: real,SV130: nat] :
( ( ( ~ ( ord_less_nat @ ( sK32_SY601 @ SV130 @ SV207 @ SV64 @ SV176 ) @ ( sK52_SY677 @ SV176 @ SV64 @ SV207 @ SV130 ) ) )
= $false )
| ( ( ord_less_real @ ( SV176 @ SV64 ) @ SV207 )
= $true )
| ( ( ord_less_real @ ( SV176 @ SV130 ) @ SV207 )
= $false )
| ( ( ord_less_nat @ SV64 @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1816]) ).
thf(1920,plain,
! [SV64: nat,SV207: real,SV130: nat,SV176: nat > real] :
( ( ( ord_less_real @ ( SV176 @ ( sK32_SY601 @ SV130 @ SV207 @ SV64 @ SV176 ) ) @ ( SV176 @ ( sK52_SY677 @ SV176 @ SV64 @ SV207 @ SV130 ) ) )
= $false )
| ( ( ord_less_real @ ( SV176 @ SV64 ) @ SV207 )
= $true )
| ( ( ord_less_real @ ( SV176 @ SV130 ) @ SV207 )
= $false )
| ( ( ord_less_nat @ SV64 @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1816]) ).
thf(1921,plain,
! [SV136: real,SV179: poly_real,SV70: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV70 @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) )
| ~ ( ord_less_real @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) @ SV136 ) )
| ( ( poly_real2 @ SV179 @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) )
!= zero_zero_real ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1817]) ).
thf(1922,plain,
! [SV180: real > nat,SV72: real,SV208: nat,SV138: real] :
( ( ( ~ ( ord_less_real @ ( sK34_SY605 @ SV138 @ SV208 @ SV72 @ SV180 ) @ ( sK53_SY678 @ SV180 @ SV72 @ SV208 @ SV138 ) ) )
= $false )
| ( ( ord_less_nat @ ( SV180 @ SV72 ) @ SV208 )
= $true )
| ( ( ord_less_nat @ ( SV180 @ SV138 ) @ SV208 )
= $false )
| ( ( ord_less_real @ SV72 @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1818]) ).
thf(1923,plain,
! [SV72: real,SV208: nat,SV138: real,SV180: real > nat] :
( ( ( ord_less_nat @ ( SV180 @ ( sK34_SY605 @ SV138 @ SV208 @ SV72 @ SV180 ) ) @ ( SV180 @ ( sK53_SY678 @ SV180 @ SV72 @ SV208 @ SV138 ) ) )
= $false )
| ( ( ord_less_nat @ ( SV180 @ SV72 ) @ SV208 )
= $true )
| ( ( ord_less_nat @ ( SV180 @ SV138 ) @ SV208 )
= $false )
| ( ( ord_less_real @ SV72 @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1818]) ).
thf(1924,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ~ ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) ) )
= $true )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1819]) ).
thf(1925,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) ) )
= $false )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( SV74 @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1820]) ).
thf(1926,plain,
! [SV183: nat > real,SV75: nat,SV209: real,SV141: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK36_SY613 @ SV141 @ SV209 @ SV75 @ SV183 ) @ ( sK55_SY679 @ SV183 @ SV75 @ SV209 @ SV141 ) ) )
= $false )
| ( ( ord_less_real @ ( SV183 @ SV75 ) @ SV209 )
= $true )
| ( ( ord_less_real @ ( SV183 @ SV141 ) @ SV209 )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV141 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1821]) ).
thf(1927,plain,
! [SV75: nat,SV209: real,SV141: nat,SV183: nat > real] :
( ( ( ord_less_eq_real @ ( SV183 @ ( sK36_SY613 @ SV141 @ SV209 @ SV75 @ SV183 ) ) @ ( SV183 @ ( sK55_SY679 @ SV183 @ SV75 @ SV209 @ SV141 ) ) )
= $false )
| ( ( ord_less_real @ ( SV183 @ SV75 ) @ SV209 )
= $true )
| ( ( ord_less_real @ ( SV183 @ SV141 ) @ SV209 )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV141 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1821]) ).
thf(1928,plain,
! [SV184: real > real,SV76: real,SV210: real,SV142: real] :
( ( ( ~ ( ord_less_eq_real @ ( sK37_SY616 @ SV142 @ SV210 @ SV76 @ SV184 ) @ ( sK56_SY680 @ SV184 @ SV76 @ SV210 @ SV142 ) ) )
= $false )
| ( ( ord_less_real @ ( SV184 @ SV76 ) @ SV210 )
= $true )
| ( ( ord_less_real @ ( SV184 @ SV142 ) @ SV210 )
= $false )
| ( ( ord_less_eq_real @ SV76 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1822]) ).
thf(1929,plain,
! [SV76: real,SV210: real,SV142: real,SV184: real > real] :
( ( ( ord_less_eq_real @ ( SV184 @ ( sK37_SY616 @ SV142 @ SV210 @ SV76 @ SV184 ) ) @ ( SV184 @ ( sK56_SY680 @ SV184 @ SV76 @ SV210 @ SV142 ) ) )
= $false )
| ( ( ord_less_real @ ( SV184 @ SV76 ) @ SV210 )
= $true )
| ( ( ord_less_real @ ( SV184 @ SV142 ) @ SV210 )
= $false )
| ( ( ord_less_eq_real @ SV76 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1822]) ).
thf(1930,plain,
! [SV143: real > nat,SV77: nat,SV211: real,SV185: real] :
( ( ( ~ ( ord_less_real @ ( sK38_SY546 @ SV185 @ SV211 @ SV77 @ SV143 ) @ ( sK57_SY681 @ SV143 @ SV77 @ SV211 @ SV185 ) ) )
= $false )
| ( ( ord_less_nat @ SV77 @ ( SV143 @ SV211 ) )
= $true )
| ( ( ord_less_real @ SV185 @ SV211 )
= $false )
| ( ( SV77
= ( SV143 @ SV185 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1823]) ).
thf(1931,plain,
! [SV77: nat,SV211: real,SV185: real,SV143: real > nat] :
( ( ( ord_less_nat @ ( SV143 @ ( sK38_SY546 @ SV185 @ SV211 @ SV77 @ SV143 ) ) @ ( SV143 @ ( sK57_SY681 @ SV143 @ SV77 @ SV211 @ SV185 ) ) )
= $false )
| ( ( ord_less_nat @ SV77 @ ( SV143 @ SV211 ) )
= $true )
| ( ( ord_less_real @ SV185 @ SV211 )
= $false )
| ( ( SV77
= ( SV143 @ SV185 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1823]) ).
thf(1932,plain,
! [SV144: real > real,SV78: real,SV212: real,SV186: real] :
( ( ( ~ ( ord_less_real @ ( sK39_SY550 @ SV186 @ SV212 @ SV78 @ SV144 ) @ ( sK58_SY682 @ SV144 @ SV78 @ SV212 @ SV186 ) ) )
= $false )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV212 ) )
= $true )
| ( ( ord_less_real @ SV186 @ SV212 )
= $false )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV186 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1824]) ).
thf(1933,plain,
! [SV78: real,SV212: real,SV186: real,SV144: real > real] :
( ( ( ord_less_real @ ( SV144 @ ( sK39_SY550 @ SV186 @ SV212 @ SV78 @ SV144 ) ) @ ( SV144 @ ( sK58_SY682 @ SV144 @ SV78 @ SV212 @ SV186 ) ) )
= $false )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV212 ) )
= $true )
| ( ( ord_less_real @ SV186 @ SV212 )
= $false )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV186 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1824]) ).
thf(1934,plain,
! [SV219: real,SV148: real,SV82: poly_real] :
( ( ( ~ ( ord_less_eq_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SV219 )
| ~ ( ord_less_real @ SV219 @ SV148 ) )
= $true )
| ( ( ( poly_real2 @ SV82 @ SV219 )
!= zero_zero_real )
= $true )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1825]) ).
thf(1935,plain,
! [SV149: nat > real,SV83: real,SV213: nat,SV188: nat] :
( ( ( ~ ( ord_less_nat @ ( sK40_SY557 @ SV188 @ SV213 @ SV83 @ SV149 ) @ ( sK59_SY683 @ SV149 @ SV83 @ SV213 @ SV188 ) ) )
= $false )
| ( ( ord_less_real @ SV83 @ ( SV149 @ SV213 ) )
= $true )
| ( ( ord_less_nat @ SV188 @ SV213 )
= $false )
| ( ( SV83
= ( SV149 @ SV188 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1826]) ).
thf(1936,plain,
! [SV83: real,SV213: nat,SV188: nat,SV149: nat > real] :
( ( ( ord_less_real @ ( SV149 @ ( sK40_SY557 @ SV188 @ SV213 @ SV83 @ SV149 ) ) @ ( SV149 @ ( sK59_SY683 @ SV149 @ SV83 @ SV213 @ SV188 ) ) )
= $false )
| ( ( ord_less_real @ SV83 @ ( SV149 @ SV213 ) )
= $true )
| ( ( ord_less_nat @ SV188 @ SV213 )
= $false )
| ( ( SV83
= ( SV149 @ SV188 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1826]) ).
thf(1937,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( SV21 = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1832]) ).
thf(1938,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( $false = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1833]) ).
thf(1939,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( SV21 = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1834]) ).
thf(1940,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( $false = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1835]) ).
thf(1941,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( SV21 = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1836]) ).
thf(1942,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1837]) ).
thf(1943,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( SV21 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1838]) ).
thf(1944,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(1945,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1840]) ).
thf(1946,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1841]) ).
thf(1947,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1842]) ).
thf(1948,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1843]) ).
thf(1949,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1844]) ).
thf(1950,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(1951,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1846]) ).
thf(1952,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1847]) ).
thf(1953,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1848]) ).
thf(1954,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(1955,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1850]) ).
thf(1956,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1851]) ).
thf(1957,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1852]) ).
thf(1958,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1853]) ).
thf(1959,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1854]) ).
thf(1960,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1855]) ).
thf(1961,plain,
! [SV91: real > real,SV22: real,SV192: real,SV154: real] :
( ( ( ord_less_real @ ( sK20_SY451 @ SV154 @ SV192 @ SV22 @ SV91 ) @ ( sK41_SY666 @ SV91 @ SV22 @ SV192 @ SV154 ) )
= $true )
| ( ( ord_less_real @ SV22 @ ( SV91 @ SV192 ) )
= $true )
| ( ( ord_less_real @ SV154 @ SV192 )
= $false )
| ( ( SV22
= ( SV91 @ SV154 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1856]) ).
thf(1962,plain,
! [SV193: real,SV93: real] :
( ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $true )
| ( ( ord_less_real @ SV93 @ SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1858]) ).
thf(1963,plain,
! [SV193: real,SV93: real] :
( ( ( SV93 != SV193 )
= $true )
| ( ( ord_less_real @ SV93 @ SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1859]) ).
thf(1964,plain,
! [SV193: real,SV93: real] :
( ( ( ~ ( ord_less_real @ SV93 @ SV193 )
| ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) )
= $false )
| ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( SV93 = SV193 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1860]) ).
thf(1965,plain,
! [SV94: real > nat,SV25: nat,SV194: real,SV157: real] :
( ( ( ord_less_real @ ( sK21_SY457 @ SV157 @ SV194 @ SV25 @ SV94 ) @ ( sK42_SY667 @ SV94 @ SV25 @ SV194 @ SV157 ) )
= $true )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV194 ) )
= $true )
| ( ( ord_less_real @ SV157 @ SV194 )
= $false )
| ( ( ord_less_nat @ SV25 @ ( SV94 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1861]) ).
thf(1966,plain,
! [SV95: real > real,SV26: real,SV195: real,SV158: real] :
( ( ( ord_less_real @ ( sK22_SY461 @ SV158 @ SV195 @ SV26 @ SV95 ) @ ( sK43_SY668 @ SV95 @ SV26 @ SV195 @ SV158 ) )
= $true )
| ( ( ord_less_real @ SV26 @ ( SV95 @ SV195 ) )
= $true )
| ( ( ord_less_real @ SV158 @ SV195 )
= $false )
| ( ( ord_less_eq_real @ SV26 @ ( SV95 @ SV158 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1863]) ).
thf(1967,plain,
! [SV30: real,SV99: real] :
( ( ( ord_less_real @ SV99 @ SV30 )
= $false )
| ( ( ord_less_real @ SV99 @ SV30 )
= $true )
| ( ( ord_less_real @ SV30 @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1865]) ).
thf(1968,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1868]) ).
thf(1969,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1869]) ).
thf(1970,plain,
! [SV159: poly_real,SV102: real,SV225: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV225 )
| ~ ( ord_less_real @ SV225 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SV225 )
!= zero_zero_real ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1870]) ).
thf(1971,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1871]) ).
thf(1972,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1872]) ).
thf(1973,plain,
! [SV33: real,SV102: real,SV159: poly_real] :
( ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1873]) ).
thf(1974,plain,
! [SV159: poly_real,SV102: real,SV226: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV226 )
| ~ ( ord_less_real @ SV226 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SV226 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1874]) ).
thf(1975,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1875]) ).
thf(1976,plain,
! [SV102: real,SV159: poly_real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1876]) ).
thf(1977,plain,
! [SV33: real,SV102: real,SV159: poly_real] :
( ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true )
| ( ( ~ ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1877]) ).
thf(1978,plain,
! [SV159: poly_real,SV102: real,SV227: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV227 )
| ~ ( ord_less_real @ SV227 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SV227 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1878]) ).
thf(1979,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1879]) ).
thf(1980,plain,
! [SV160: real > real,SV34: real,SV197: real,SV103: real] :
( ( ( ord_less_real @ ( sK23_SY573 @ SV103 @ SV197 @ SV34 @ SV160 ) @ ( sK44_SY669 @ SV160 @ SV34 @ SV197 @ SV103 ) )
= $true )
| ( ( ord_less_real @ ( SV160 @ SV34 ) @ SV197 )
= $true )
| ( ( ( SV160 @ SV103 )
= SV197 )
= $false )
| ( ( ord_less_real @ SV34 @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1880]) ).
thf(1981,plain,
! [SV106: nat > real,SV37: real,SV198: nat,SV162: nat] :
( ( ( ord_less_nat @ ( sK24_SY475 @ SV162 @ SV198 @ SV37 @ SV106 ) @ ( sK45_SY670 @ SV106 @ SV37 @ SV198 @ SV162 ) )
= $true )
| ( ( ord_less_real @ SV37 @ ( SV106 @ SV198 ) )
= $true )
| ( ( ord_less_nat @ SV162 @ SV198 )
= $false )
| ( ( ord_less_eq_real @ SV37 @ ( SV106 @ SV162 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1882]) ).
thf(1982,plain,
! [SV107: real,SV163: poly_real,SV38: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV38 @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) )
| ~ ( ord_less_real @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) @ SV107 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1884]) ).
thf(1983,plain,
! [SV38: real,SV107: real,SV163: poly_real] :
( ( ( ( poly_real2 @ SV163 @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) )
!= zero_zero_real )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1884]) ).
thf(1984,plain,
! [SV108: real > nat,SV40: nat,SV199: real,SV164: real] :
( ( ( ord_less_real @ ( sK26_SY481 @ SV164 @ SV199 @ SV40 @ SV108 ) @ ( sK46_SY671 @ SV108 @ SV40 @ SV199 @ SV164 ) )
= $true )
| ( ( ord_less_nat @ SV40 @ ( SV108 @ SV199 ) )
= $true )
| ( ( ord_less_real @ SV164 @ SV199 )
= $false )
| ( ( ord_less_eq_nat @ SV40 @ ( SV108 @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1885]) ).
thf(1985,plain,
! [SV165: real > real,SV42: real,SV200: real,SV110: real] :
( ( ( ord_less_real @ ( sK27_SY583 @ SV110 @ SV200 @ SV42 @ SV165 ) @ ( sK47_SY672 @ SV165 @ SV42 @ SV200 @ SV110 ) )
= $true )
| ( ( ord_less_real @ ( SV165 @ SV42 ) @ SV200 )
= $true )
| ( ( ord_less_real @ ( SV165 @ SV110 ) @ SV200 )
= $false )
| ( ( ord_less_real @ SV42 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1887]) ).
thf(1986,plain,
! [SV201: real,SV111: real] :
( ( ( ord_less_eq_real @ SV111 @ SV201 )
= $true )
| ( ( ord_less_real @ SV111 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1889]) ).
thf(1987,plain,
! [SV201: real,SV111: real] :
( ( ( SV111 != SV201 )
= $true )
| ( ( ord_less_real @ SV111 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1890]) ).
thf(1988,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ord_less_real @ SV111 @ SV201 )
| ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( SV111 = SV201 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1891]) ).
thf(1989,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1892]) ).
thf(1990,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1893]) ).
thf(1991,plain,
! [SV169: poly_real,SV115: real,SV228: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV228 )
| ~ ( ord_less_eq_real @ SV228 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SV228 )
!= zero_zero_real ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1894]) ).
thf(1992,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1895]) ).
thf(1993,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1896]) ).
thf(1994,plain,
! [SV47: real,SV115: real,SV169: poly_real] :
( ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1897]) ).
thf(1995,plain,
! [SV169: poly_real,SV115: real,SV229: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV229 )
| ~ ( ord_less_eq_real @ SV229 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SV229 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1898]) ).
thf(1996,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1899]) ).
thf(1997,plain,
! [SV115: real,SV169: poly_real,SV47: real] :
( ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1900]) ).
thf(1998,plain,
! [SV47: real,SV115: real,SV169: poly_real] :
( ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true )
| ( ( ~ ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1901]) ).
thf(1999,plain,
! [SV169: poly_real,SV115: real,SV230: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV230 )
| ~ ( ord_less_eq_real @ SV230 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SV230 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1902]) ).
thf(2000,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1903]) ).
thf(2001,plain,
! [SV170: nat > real,SV48: nat,SV202: real,SV116: nat] :
( ( ( ord_less_nat @ ( sK28_SY589 @ SV116 @ SV202 @ SV48 @ SV170 ) @ ( sK48_SY673 @ SV170 @ SV48 @ SV202 @ SV116 ) )
= $true )
| ( ( ord_less_real @ ( SV170 @ SV48 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV116 )
= SV202 )
= $false )
| ( ( ord_less_nat @ SV48 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1904]) ).
thf(2002,plain,
! [SV171: real > nat,SV50: real,SV203: nat,SV117: real] :
( ( ( ord_less_real @ ( sK29_SY592 @ SV117 @ SV203 @ SV50 @ SV171 ) @ ( sK49_SY674 @ SV171 @ SV50 @ SV203 @ SV117 ) )
= $true )
| ( ( ord_less_nat @ ( SV171 @ SV50 ) @ SV203 )
= $true )
| ( ( ( SV171 @ SV117 )
= SV203 )
= $false )
| ( ( ord_less_real @ SV50 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1906]) ).
thf(2003,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ord_less_real @ SV53 @ ( ord_min_real @ SV119 @ SV173 ) )
= $true )
| ( ( ord_less_real @ SV53 @ SV119 )
= $false )
| ( ( ord_less_real @ SV53 @ SV173 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1910]) ).
thf(2004,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) ) )
= $true )
| ( ( ord_less_real @ SV53 @ SV119 )
= $false )
| ( ( ord_less_real @ SV53 @ SV173 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1911]) ).
thf(2005,plain,
! [SV121: nat > real,SV55: real,SV205: nat,SV174: nat] :
( ( ( ord_less_eq_nat @ ( sK30_SY507 @ SV174 @ SV205 @ SV55 @ SV121 ) @ ( sK50_SY675 @ SV121 @ SV55 @ SV205 @ SV174 ) )
= $true )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV205 ) )
= $true )
| ( ( ord_less_eq_nat @ SV174 @ SV205 )
= $false )
| ( ( ord_less_real @ SV55 @ ( SV121 @ SV174 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1912]) ).
thf(2006,plain,
! [SV57: poly_real,SV218: real,SV123: real] :
( ( ( ~ ( ord_less_real @ SV123 @ SV218 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV218 @ ( sK9_SY509 @ SV57 @ SV123 ) ) )
= $true )
| ( ( ( poly_real2 @ SV57 @ SV218 )
!= zero_zero_real )
= $true )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1915]) ).
thf(2007,plain,
! [SV126: nat > real,SV60: real,SV206: nat,SV175: nat] :
( ( ( ord_less_nat @ ( sK31_SY513 @ SV175 @ SV206 @ SV60 @ SV126 ) @ ( sK51_SY676 @ SV126 @ SV60 @ SV206 @ SV175 ) )
= $true )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV206 ) )
= $true )
| ( ( ord_less_nat @ SV175 @ SV206 )
= $false )
| ( ( ord_less_real @ SV60 @ ( SV126 @ SV175 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1916]) ).
thf(2008,plain,
! [SV61: real,SV127: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ ( sK15_SY515 @ SV127 @ SV61 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1918]) ).
thf(2009,plain,
! [SV61: real,SV127: real] :
( ( ( ~ ( ord_less_real @ ( sK15_SY515 @ SV127 @ SV61 ) @ SV61 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1918]) ).
thf(2010,plain,
! [SV176: nat > real,SV64: nat,SV207: real,SV130: nat] :
( ( ( ord_less_nat @ ( sK32_SY601 @ SV130 @ SV207 @ SV64 @ SV176 ) @ ( sK52_SY677 @ SV176 @ SV64 @ SV207 @ SV130 ) )
= $true )
| ( ( ord_less_real @ ( SV176 @ SV64 ) @ SV207 )
= $true )
| ( ( ord_less_real @ ( SV176 @ SV130 ) @ SV207 )
= $false )
| ( ( ord_less_nat @ SV64 @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1919]) ).
thf(2011,plain,
! [SV136: real,SV179: poly_real,SV70: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV70 @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) )
| ~ ( ord_less_real @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) @ SV136 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1921]) ).
thf(2012,plain,
! [SV70: real,SV136: real,SV179: poly_real] :
( ( ( ( poly_real2 @ SV179 @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) )
!= zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1921]) ).
thf(2013,plain,
! [SV180: real > nat,SV72: real,SV208: nat,SV138: real] :
( ( ( ord_less_real @ ( sK34_SY605 @ SV138 @ SV208 @ SV72 @ SV180 ) @ ( sK53_SY678 @ SV180 @ SV72 @ SV208 @ SV138 ) )
= $true )
| ( ( ord_less_nat @ ( SV180 @ SV72 ) @ SV208 )
= $true )
| ( ( ord_less_nat @ ( SV180 @ SV138 ) @ SV208 )
= $false )
| ( ( ord_less_real @ SV72 @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1922]) ).
thf(2014,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ! [SY410: real,SY411: real] :
( ~ ( SV74 @ SY411 @ SY410 )
| ( SV74 @ SY410 @ SY411 ) ) )
= $false )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1924]) ).
thf(2015,plain,
! [SV140: real,SV182: real,SV74: real > real > $o] :
( ( ( ! [SY684: real] :
( ~ ( SV74 @ SY684 @ ( sK60_SY410 @ SV182 @ SV140 @ SV74 ) )
| ( SV74 @ ( sK60_SY410 @ SV182 @ SV140 @ SV74 ) @ SY684 ) ) )
= $false )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( SV74 @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1925]) ).
thf(2016,plain,
! [SV183: nat > real,SV75: nat,SV209: real,SV141: nat] :
( ( ( ord_less_eq_nat @ ( sK36_SY613 @ SV141 @ SV209 @ SV75 @ SV183 ) @ ( sK55_SY679 @ SV183 @ SV75 @ SV209 @ SV141 ) )
= $true )
| ( ( ord_less_real @ ( SV183 @ SV75 ) @ SV209 )
= $true )
| ( ( ord_less_real @ ( SV183 @ SV141 ) @ SV209 )
= $false )
| ( ( ord_less_eq_nat @ SV75 @ SV141 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1926]) ).
thf(2017,plain,
! [SV184: real > real,SV76: real,SV210: real,SV142: real] :
( ( ( ord_less_eq_real @ ( sK37_SY616 @ SV142 @ SV210 @ SV76 @ SV184 ) @ ( sK56_SY680 @ SV184 @ SV76 @ SV210 @ SV142 ) )
= $true )
| ( ( ord_less_real @ ( SV184 @ SV76 ) @ SV210 )
= $true )
| ( ( ord_less_real @ ( SV184 @ SV142 ) @ SV210 )
= $false )
| ( ( ord_less_eq_real @ SV76 @ SV142 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1928]) ).
thf(2018,plain,
! [SV143: real > nat,SV77: nat,SV211: real,SV185: real] :
( ( ( ord_less_real @ ( sK38_SY546 @ SV185 @ SV211 @ SV77 @ SV143 ) @ ( sK57_SY681 @ SV143 @ SV77 @ SV211 @ SV185 ) )
= $true )
| ( ( ord_less_nat @ SV77 @ ( SV143 @ SV211 ) )
= $true )
| ( ( ord_less_real @ SV185 @ SV211 )
= $false )
| ( ( SV77
= ( SV143 @ SV185 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1930]) ).
thf(2019,plain,
! [SV144: real > real,SV78: real,SV212: real,SV186: real] :
( ( ( ord_less_real @ ( sK39_SY550 @ SV186 @ SV212 @ SV78 @ SV144 ) @ ( sK58_SY682 @ SV144 @ SV78 @ SV212 @ SV186 ) )
= $true )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV212 ) )
= $true )
| ( ( ord_less_real @ SV186 @ SV212 )
= $false )
| ( ( ord_less_real @ SV78 @ ( SV144 @ SV186 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1932]) ).
thf(2020,plain,
! [SV219: real,SV148: real,SV82: poly_real] :
( ( ( ~ ( ord_less_eq_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SV219 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV219 @ SV148 ) )
= $true )
| ( ( ( poly_real2 @ SV82 @ SV219 )
!= zero_zero_real )
= $true )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1934]) ).
thf(2021,plain,
! [SV149: nat > real,SV83: real,SV213: nat,SV188: nat] :
( ( ( ord_less_nat @ ( sK40_SY557 @ SV188 @ SV213 @ SV83 @ SV149 ) @ ( sK59_SY683 @ SV149 @ SV83 @ SV213 @ SV188 ) )
= $true )
| ( ( ord_less_real @ SV83 @ ( SV149 @ SV213 ) )
= $true )
| ( ( ord_less_nat @ SV188 @ SV213 )
= $false )
| ( ( SV83
= ( SV149 @ SV188 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1935]) ).
thf(2022,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( SV21 = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1937]) ).
thf(2023,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( SV21 = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1937]) ).
thf(2024,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( $false = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(2025,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(2026,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( SV21 = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1939]) ).
thf(2027,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( SV21 = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1939]) ).
thf(2028,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( $false = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1940]) ).
thf(2029,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1940]) ).
thf(2030,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( SV21 = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1941]) ).
thf(2031,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( SV21 = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1941]) ).
thf(2032,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1942]) ).
thf(2033,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1942]) ).
thf(2034,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( SV21 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1943]) ).
thf(2035,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( SV21 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1943]) ).
thf(2036,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1944]) ).
thf(2037,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1944]) ).
thf(2038,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1945]) ).
thf(2039,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1945]) ).
thf(2040,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1946]) ).
thf(2041,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1946]) ).
thf(2042,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1947]) ).
thf(2043,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1947]) ).
thf(2044,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1948]) ).
thf(2045,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1948]) ).
thf(2046,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1949]) ).
thf(2047,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1949]) ).
thf(2048,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1950]) ).
thf(2049,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1950]) ).
thf(2050,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1951]) ).
thf(2051,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1951]) ).
thf(2052,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1952]) ).
thf(2053,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1952]) ).
thf(2054,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1953]) ).
thf(2055,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1953]) ).
thf(2056,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1954]) ).
thf(2057,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1954]) ).
thf(2058,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1955]) ).
thf(2059,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1955]) ).
thf(2060,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1956]) ).
thf(2061,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1956]) ).
thf(2062,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1957]) ).
thf(2063,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1957]) ).
thf(2064,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1958]) ).
thf(2065,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1958]) ).
thf(2066,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1959]) ).
thf(2067,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1959]) ).
thf(2068,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1960]) ).
thf(2069,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1960]) ).
thf(2070,plain,
! [SV193: real,SV93: real] :
( ( ( SV93 = SV193 )
= $false )
| ( ( ord_less_real @ SV93 @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1963]) ).
thf(2071,plain,
! [SV193: real,SV93: real] :
( ( ( ~ ( ord_less_real @ SV93 @ SV193 ) )
= $false )
| ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( SV93 = SV193 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1964]) ).
thf(2072,plain,
! [SV193: real,SV93: real] :
( ( ( ~ ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) )
= $false )
| ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( SV93 = SV193 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1964]) ).
thf(2073,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1968]) ).
thf(2074,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1968]) ).
thf(2075,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1969]) ).
thf(2076,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1969]) ).
thf(2077,plain,
! [SV159: poly_real,SV102: real,SV225: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV225 )
| ~ ( ord_less_real @ SV225 @ SV102 ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV225 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1970]) ).
thf(2078,plain,
! [SV159: poly_real,SV102: real,SV231: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV231 )
| ~ ( ord_less_real @ SV231 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1971]) ).
thf(2079,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1972]) ).
thf(2080,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1973]) ).
thf(2081,plain,
! [SV159: poly_real,SV102: real,SV226: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV226 )
| ~ ( ord_less_real @ SV226 @ SV102 ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV226 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1974]) ).
thf(2082,plain,
! [SV159: poly_real,SV102: real,SV232: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV232 )
| ~ ( ord_less_real @ SV232 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1975]) ).
thf(2083,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1976]) ).
thf(2084,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) )
| ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1977]) ).
thf(2085,plain,
! [SV159: poly_real,SV102: real,SV227: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV227 )
| ~ ( ord_less_real @ SV227 @ SV102 ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV227 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1978]) ).
thf(2086,plain,
! [SV159: poly_real,SV102: real,SV233: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV233 )
| ~ ( ord_less_real @ SV233 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1979]) ).
thf(2087,plain,
! [SV107: real,SV163: poly_real,SV38: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV38 @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) )
| ~ ( ord_less_real @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) @ SV107 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1982]) ).
thf(2088,plain,
! [SV38: real,SV107: real,SV163: poly_real] :
( ( ( ( poly_real2 @ SV163 @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) )
= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1983]) ).
thf(2089,plain,
! [SV201: real,SV111: real] :
( ( ( SV111 = SV201 )
= $false )
| ( ( ord_less_real @ SV111 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1987]) ).
thf(2090,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ord_less_real @ SV111 @ SV201 ) )
= $false )
| ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( SV111 = SV201 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1988]) ).
thf(2091,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( SV111 = SV201 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1988]) ).
thf(2092,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1989]) ).
thf(2093,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1989]) ).
thf(2094,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1990]) ).
thf(2095,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1990]) ).
thf(2096,plain,
! [SV169: poly_real,SV115: real,SV228: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV228 )
| ~ ( ord_less_eq_real @ SV228 @ SV115 ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV228 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1991]) ).
thf(2097,plain,
! [SV169: poly_real,SV115: real,SV234: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV234 )
| ~ ( ord_less_eq_real @ SV234 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1992]) ).
thf(2098,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1993]) ).
thf(2099,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1994]) ).
thf(2100,plain,
! [SV169: poly_real,SV115: real,SV229: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV229 )
| ~ ( ord_less_eq_real @ SV229 @ SV115 ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV229 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1995]) ).
thf(2101,plain,
! [SV169: poly_real,SV115: real,SV235: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV235 )
| ~ ( ord_less_eq_real @ SV235 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1996]) ).
thf(2102,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1997]) ).
thf(2103,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) )
| ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1998]) ).
thf(2104,plain,
! [SV169: poly_real,SV115: real,SV230: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV230 )
| ~ ( ord_less_eq_real @ SV230 @ SV115 ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV230 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1999]) ).
thf(2105,plain,
! [SV169: poly_real,SV115: real,SV236: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV236 )
| ~ ( ord_less_eq_real @ SV236 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2000]) ).
thf(2106,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ord_less_real @ SV53 @ SV119 )
| ~ ( ord_less_real @ SV53 @ SV173 ) )
= $false )
| ( ( ord_less_real @ SV53 @ SV119 )
= $false )
| ( ( ord_less_real @ SV53 @ SV173 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2004]) ).
thf(2107,plain,
! [SV57: poly_real,SV218: real,SV123: real] :
( ( ( ord_less_real @ SV123 @ SV218 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV218 @ ( sK9_SY509 @ SV57 @ SV123 ) ) )
= $true )
| ( ( ( poly_real2 @ SV57 @ SV218 )
!= zero_zero_real )
= $true )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2006]) ).
thf(2108,plain,
! [SV61: real,SV127: real] :
( ( ( ord_less_real @ zero_zero_real @ ( sK15_SY515 @ SV127 @ SV61 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2008]) ).
thf(2109,plain,
! [SV61: real,SV127: real] :
( ( ( ord_less_real @ ( sK15_SY515 @ SV127 @ SV61 ) @ SV61 )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV127 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2009]) ).
thf(2110,plain,
! [SV136: real,SV179: poly_real,SV70: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV70 @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) )
| ~ ( ord_less_real @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) @ SV136 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2011]) ).
thf(2111,plain,
! [SV70: real,SV136: real,SV179: poly_real] :
( ( ( ( poly_real2 @ SV179 @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) )
= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2012]) ).
thf(2112,plain,
! [SV140: real,SV182: real,SV74: real > real > $o] :
( ( ( ! [SY685: real] :
( ~ ( SV74 @ SY685 @ ( sK61_SY410 @ SV182 @ SV140 @ SV74 ) )
| ( SV74 @ ( sK61_SY410 @ SV182 @ SV140 @ SV74 ) @ SY685 ) ) )
= $false )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2014]) ).
thf(2113,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ~ ( SV74 @ ( sK62_SY684 @ SV140 @ SV182 @ SV74 ) @ ( sK60_SY410 @ SV182 @ SV140 @ SV74 ) )
| ( SV74 @ ( sK60_SY410 @ SV182 @ SV140 @ SV74 ) @ ( sK62_SY684 @ SV140 @ SV182 @ SV74 ) ) )
= $false )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( SV74 @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2015]) ).
thf(2114,plain,
! [SV219: real,SV148: real,SV82: poly_real] :
( ( ( ord_less_eq_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SV219 )
= $false )
| ( ( ~ ( ord_less_real @ SV219 @ SV148 ) )
= $true )
| ( ( ( poly_real2 @ SV82 @ SV219 )
!= zero_zero_real )
= $true )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2020]) ).
thf(2115,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( SV21 = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2022]) ).
thf(2116,plain,
! [SV21: $o] :
( ( $false = $true )
| ( SV21 = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2023]) ).
thf(2117,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( $false = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2024]) ).
thf(2118,plain,
! [SV21: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2025]) ).
thf(2119,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( SV21 = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2026]) ).
thf(2120,plain,
! [SV21: $o] :
( ( $false = $true )
| ( SV21 = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2027]) ).
thf(2121,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( $false = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2028]) ).
thf(2122,plain,
! [SV21: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2029]) ).
thf(2123,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( SV21 = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2030]) ).
thf(2124,plain,
! [SV21: $o] :
( ( $false = $true )
| ( SV21 = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2031]) ).
thf(2125,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2032]) ).
thf(2126,plain,
! [SV21: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2033]) ).
thf(2127,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( SV21 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2034]) ).
thf(2128,plain,
! [SV21: $o] :
( ( $false = $true )
| ( SV21 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2035]) ).
thf(2129,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2036]) ).
thf(2130,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2037]) ).
thf(2131,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2038]) ).
thf(2132,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2039]) ).
thf(2133,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2040]) ).
thf(2134,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2041]) ).
thf(2135,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2042]) ).
thf(2136,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2043]) ).
thf(2137,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2044]) ).
thf(2138,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2045]) ).
thf(2139,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2046]) ).
thf(2140,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2047]) ).
thf(2141,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2048]) ).
thf(2142,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2049]) ).
thf(2143,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2050]) ).
thf(2144,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2051]) ).
thf(2145,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2052]) ).
thf(2146,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2053]) ).
thf(2147,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2054]) ).
thf(2148,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2055]) ).
thf(2149,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2056]) ).
thf(2150,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2057]) ).
thf(2151,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2058]) ).
thf(2152,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2059]) ).
thf(2153,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2060]) ).
thf(2154,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2061]) ).
thf(2155,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2062]) ).
thf(2156,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2063]) ).
thf(2157,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2064]) ).
thf(2158,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2065]) ).
thf(2159,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2066]) ).
thf(2160,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2067]) ).
thf(2161,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2068]) ).
thf(2162,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2069]) ).
thf(2163,plain,
! [SV193: real,SV93: real] :
( ( ( ord_less_real @ SV93 @ SV193 )
= $true )
| ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( SV93 = SV193 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2071]) ).
thf(2164,plain,
! [SV193: real,SV93: real] :
( ( ( ~ ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) ) )
= $true )
| ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( SV93 = SV193 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2072]) ).
thf(2165,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2073]) ).
thf(2166,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2074]) ).
thf(2167,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2075]) ).
thf(2168,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2076]) ).
thf(2169,plain,
! [SV159: poly_real,SV102: real,SV225: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV225 )
| ~ ( ord_less_real @ SV225 @ SV102 ) ) )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV225 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2077]) ).
thf(2170,plain,
! [SV159: poly_real,SV102: real,SV231: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV231 )
| ~ ( ord_less_real @ SV231 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2078]) ).
thf(2171,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2079]) ).
thf(2172,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2079]) ).
thf(2173,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2080]) ).
thf(2174,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2080]) ).
thf(2175,plain,
! [SV159: poly_real,SV102: real,SV226: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV226 )
| ~ ( ord_less_real @ SV226 @ SV102 ) ) )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV226 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2081]) ).
thf(2176,plain,
! [SV159: poly_real,SV102: real,SV232: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV232 )
| ~ ( ord_less_real @ SV232 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2082]) ).
thf(2177,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2083]) ).
thf(2178,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2083]) ).
thf(2179,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2084]) ).
thf(2180,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ~ ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2084]) ).
thf(2181,plain,
! [SV159: poly_real,SV102: real,SV227: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV227 )
| ~ ( ord_less_real @ SV227 @ SV102 ) ) )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV227 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2085]) ).
thf(2182,plain,
! [SV159: poly_real,SV102: real,SV233: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV233 )
| ~ ( ord_less_real @ SV233 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2086]) ).
thf(2183,plain,
! [SV107: real,SV163: poly_real,SV38: real] :
( ( ( ~ ( ord_less_real @ SV38 @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) )
| ~ ( ord_less_real @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) @ SV107 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2087]) ).
thf(2184,plain,
! [SV201: real,SV111: real] :
( ( ( ord_less_real @ SV111 @ SV201 )
= $true )
| ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( SV111 = SV201 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2090]) ).
thf(2185,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) ) )
= $true )
| ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( SV111 = SV201 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2091]) ).
thf(2186,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2092]) ).
thf(2187,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2093]) ).
thf(2188,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2094]) ).
thf(2189,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2095]) ).
thf(2190,plain,
! [SV169: poly_real,SV115: real,SV228: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV228 )
| ~ ( ord_less_eq_real @ SV228 @ SV115 ) ) )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV228 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2096]) ).
thf(2191,plain,
! [SV169: poly_real,SV115: real,SV234: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV234 )
| ~ ( ord_less_eq_real @ SV234 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2097]) ).
thf(2192,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2098]) ).
thf(2193,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2098]) ).
thf(2194,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2099]) ).
thf(2195,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2099]) ).
thf(2196,plain,
! [SV169: poly_real,SV115: real,SV229: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV229 )
| ~ ( ord_less_eq_real @ SV229 @ SV115 ) ) )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV229 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2100]) ).
thf(2197,plain,
! [SV169: poly_real,SV115: real,SV235: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV235 )
| ~ ( ord_less_eq_real @ SV235 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2101]) ).
thf(2198,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2102]) ).
thf(2199,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2102]) ).
thf(2200,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2103]) ).
thf(2201,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ~ ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2103]) ).
thf(2202,plain,
! [SV169: poly_real,SV115: real,SV230: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV230 )
| ~ ( ord_less_eq_real @ SV230 @ SV115 ) ) )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV230 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2104]) ).
thf(2203,plain,
! [SV169: poly_real,SV115: real,SV236: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV236 )
| ~ ( ord_less_eq_real @ SV236 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2105]) ).
thf(2204,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ~ ( ord_less_real @ SV53 @ SV119 ) )
= $false )
| ( ( ord_less_real @ SV53 @ SV119 )
= $false )
| ( ( ord_less_real @ SV53 @ SV173 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2106]) ).
thf(2205,plain,
! [SV119: real,SV173: real,SV53: real] :
( ( ( ~ ( ord_less_real @ SV53 @ SV173 ) )
= $false )
| ( ( ord_less_real @ SV53 @ SV119 )
= $false )
| ( ( ord_less_real @ SV53 @ SV173 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2106]) ).
thf(2206,plain,
! [SV123: real,SV57: poly_real,SV218: real] :
( ( ( ord_less_eq_real @ SV218 @ ( sK9_SY509 @ SV57 @ SV123 ) )
= $false )
| ( ( ord_less_real @ SV123 @ SV218 )
= $false )
| ( ( ( poly_real2 @ SV57 @ SV218 )
!= zero_zero_real )
= $true )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2107]) ).
thf(2207,plain,
! [SV136: real,SV179: poly_real,SV70: real] :
( ( ( ~ ( ord_less_real @ SV70 @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) )
| ~ ( ord_less_real @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) @ SV136 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2110]) ).
thf(2208,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ~ ( SV74 @ ( sK63_SY685 @ SV140 @ SV182 @ SV74 ) @ ( sK61_SY410 @ SV182 @ SV140 @ SV74 ) )
| ( SV74 @ ( sK61_SY410 @ SV182 @ SV140 @ SV74 ) @ ( sK63_SY685 @ SV140 @ SV182 @ SV74 ) ) )
= $false )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2112]) ).
thf(2209,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ~ ( SV74 @ ( sK62_SY684 @ SV140 @ SV182 @ SV74 ) @ ( sK60_SY410 @ SV182 @ SV140 @ SV74 ) ) )
= $false )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( SV74 @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2113]) ).
thf(2210,plain,
! [SV140: real,SV182: real,SV74: real > real > $o] :
( ( ( SV74 @ ( sK60_SY410 @ SV182 @ SV140 @ SV74 ) @ ( sK62_SY684 @ SV140 @ SV182 @ SV74 ) )
= $false )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( SV74 @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2113]) ).
thf(2211,plain,
! [SV82: poly_real,SV148: real,SV219: real] :
( ( ( ord_less_real @ SV219 @ SV148 )
= $false )
| ( ( ord_less_eq_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SV219 )
= $false )
| ( ( ( poly_real2 @ SV82 @ SV219 )
!= zero_zero_real )
= $true )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2114]) ).
thf(2212,plain,
! [SV193: real,SV93: real] :
( ( ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
| ~ ( ( SV93 != SV193 ) ) )
= $false )
| ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( SV93 = SV193 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2164]) ).
thf(2213,plain,
! [SV159: poly_real,SV102: real,SV237: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV237 )
| ~ ( ord_less_real @ SV237 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SV237 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2165]) ).
thf(2214,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2166]) ).
thf(2215,plain,
! [SV159: poly_real,SV102: real,SV238: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV238 )
| ~ ( ord_less_real @ SV238 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SV238 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2167]) ).
thf(2216,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2168]) ).
thf(2217,plain,
! [SV159: poly_real,SV102: real,SV225: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV225 )
| ~ ( ord_less_real @ SV225 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV225 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2169]) ).
thf(2218,plain,
! [SV159: poly_real,SV102: real,SV231: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV231 )
| ~ ( ord_less_real @ SV231 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2170]) ).
thf(2219,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2171]) ).
thf(2220,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2172]) ).
thf(2221,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2173]) ).
thf(2222,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2174]) ).
thf(2223,plain,
! [SV159: poly_real,SV102: real,SV226: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV226 )
| ~ ( ord_less_real @ SV226 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV226 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2175]) ).
thf(2224,plain,
! [SV159: poly_real,SV102: real,SV232: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV232 )
| ~ ( ord_less_real @ SV232 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2176]) ).
thf(2225,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2177]) ).
thf(2226,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2178]) ).
thf(2227,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY569: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY569 )
| ~ ( ord_less_real @ SY569 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SY569 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2179]) ).
thf(2228,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) )
| ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2180]) ).
thf(2229,plain,
! [SV159: poly_real,SV102: real,SV227: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV227 )
| ~ ( ord_less_real @ SV227 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV227 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2181]) ).
thf(2230,plain,
! [SV159: poly_real,SV102: real,SV233: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV233 )
| ~ ( ord_less_real @ SV233 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2182]) ).
thf(2231,plain,
! [SV107: real,SV163: poly_real,SV38: real] :
( ( ( ~ ( ord_less_real @ SV38 @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2183]) ).
thf(2232,plain,
! [SV38: real,SV107: real,SV163: poly_real] :
( ( ( ~ ( ord_less_real @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) @ SV107 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2183]) ).
thf(2233,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ord_less_eq_real @ SV111 @ SV201 )
| ~ ( ( SV111 != SV201 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( SV111 = SV201 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2185]) ).
thf(2234,plain,
! [SV169: poly_real,SV115: real,SV239: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV239 )
| ~ ( ord_less_eq_real @ SV239 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SV239 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2186]) ).
thf(2235,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2187]) ).
thf(2236,plain,
! [SV169: poly_real,SV115: real,SV240: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV240 )
| ~ ( ord_less_eq_real @ SV240 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SV240 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2188]) ).
thf(2237,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2189]) ).
thf(2238,plain,
! [SV169: poly_real,SV115: real,SV228: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV228 )
| ~ ( ord_less_eq_real @ SV228 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV228 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2190]) ).
thf(2239,plain,
! [SV169: poly_real,SV115: real,SV234: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV234 )
| ~ ( ord_less_eq_real @ SV234 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2191]) ).
thf(2240,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2192]) ).
thf(2241,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2193]) ).
thf(2242,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2194]) ).
thf(2243,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2195]) ).
thf(2244,plain,
! [SV169: poly_real,SV115: real,SV229: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV229 )
| ~ ( ord_less_eq_real @ SV229 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV229 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2196]) ).
thf(2245,plain,
! [SV169: poly_real,SV115: real,SV235: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV235 )
| ~ ( ord_less_eq_real @ SV235 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2197]) ).
thf(2246,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2198]) ).
thf(2247,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2199]) ).
thf(2248,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY585: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY585 )
| ~ ( ord_less_eq_real @ SY585 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SY585 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2200]) ).
thf(2249,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) )
| ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2201]) ).
thf(2250,plain,
! [SV169: poly_real,SV115: real,SV230: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV230 )
| ~ ( ord_less_eq_real @ SV230 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV230 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2202]) ).
thf(2251,plain,
! [SV169: poly_real,SV115: real,SV236: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV236 )
| ~ ( ord_less_eq_real @ SV236 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2203]) ).
thf(2252,plain,
! [SV173: real,SV119: real,SV53: real] :
( ( ( ord_less_real @ SV53 @ SV119 )
= $true )
| ( ( ord_less_real @ SV53 @ SV119 )
= $false )
| ( ( ord_less_real @ SV53 @ SV173 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2204]) ).
thf(2253,plain,
! [SV119: real,SV173: real,SV53: real] :
( ( ( ord_less_real @ SV53 @ SV173 )
= $true )
| ( ( ord_less_real @ SV53 @ SV119 )
= $false )
| ( ( ord_less_real @ SV53 @ SV173 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2205]) ).
thf(2254,plain,
! [SV123: real,SV218: real,SV57: poly_real] :
( ( ( ( poly_real2 @ SV57 @ SV218 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV123 @ SV218 )
= $false )
| ( ( ord_less_eq_real @ SV218 @ ( sK9_SY509 @ SV57 @ SV123 ) )
= $false )
| ( ( SV57 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2206]) ).
thf(2255,plain,
! [SV136: real,SV179: poly_real,SV70: real] :
( ( ( ~ ( ord_less_real @ SV70 @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2207]) ).
thf(2256,plain,
! [SV70: real,SV136: real,SV179: poly_real] :
( ( ( ~ ( ord_less_real @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) @ SV136 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2207]) ).
thf(2257,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( ~ ( SV74 @ ( sK63_SY685 @ SV140 @ SV182 @ SV74 ) @ ( sK61_SY410 @ SV182 @ SV140 @ SV74 ) ) )
= $false )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2208]) ).
thf(2258,plain,
! [SV140: real,SV182: real,SV74: real > real > $o] :
( ( ( SV74 @ ( sK61_SY410 @ SV182 @ SV140 @ SV74 ) @ ( sK63_SY685 @ SV140 @ SV182 @ SV74 ) )
= $false )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2208]) ).
thf(2259,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( SV74 @ ( sK62_SY684 @ SV140 @ SV182 @ SV74 ) @ ( sK60_SY410 @ SV182 @ SV140 @ SV74 ) )
= $true )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK35_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( SV74 @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2209]) ).
thf(2260,plain,
! [SV148: real,SV219: real,SV82: poly_real] :
( ( ( ( poly_real2 @ SV82 @ SV219 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ ( sK11_SY553 @ SV82 @ SV148 ) @ SV219 )
= $false )
| ( ( ord_less_real @ SV219 @ SV148 )
= $false )
| ( ( SV82 = zero_zero_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2211]) ).
thf(2261,plain,
! [SV193: real,SV93: real] :
( ( ( SV93
!= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( SV93 = SV193 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2212]) ).
thf(2262,plain,
! [SV193: real,SV93: real] :
( ( ( ~ ( ( SV93 != SV193 ) ) )
= $false )
| ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( SV93 = SV193 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2212]) ).
thf(2263,plain,
! [SV159: poly_real,SV102: real,SV237: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV237 )
| ~ ( ord_less_real @ SV237 @ SV102 ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV237 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2213]) ).
thf(2264,plain,
! [SV159: poly_real,SV102: real,SV241: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV241 )
| ~ ( ord_less_real @ SV241 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2214]) ).
thf(2265,plain,
! [SV159: poly_real,SV102: real,SV238: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV238 )
| ~ ( ord_less_real @ SV238 @ SV102 ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV238 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2215]) ).
thf(2266,plain,
! [SV159: poly_real,SV102: real,SV242: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV242 )
| ~ ( ord_less_real @ SV242 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2216]) ).
thf(2267,plain,
! [SV159: poly_real,SV102: real,SV225: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV225 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV225 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV225 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2217]) ).
thf(2268,plain,
! [SV159: poly_real,SV102: real,SV231: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV231 )
| ~ ( ord_less_real @ SV231 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2218]) ).
thf(2269,plain,
! [SV159: poly_real,SV102: real,SV243: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV243 )
| ~ ( ord_less_real @ SV243 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SV243 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2219]) ).
thf(2270,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2220]) ).
thf(2271,plain,
! [SV159: poly_real,SV102: real,SV244: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV244 )
| ~ ( ord_less_real @ SV244 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SV244 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2221]) ).
thf(2272,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2222]) ).
thf(2273,plain,
! [SV159: poly_real,SV102: real,SV226: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV226 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV226 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV226 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2223]) ).
thf(2274,plain,
! [SV159: poly_real,SV102: real,SV232: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV232 )
| ~ ( ord_less_real @ SV232 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2224]) ).
thf(2275,plain,
! [SV159: poly_real,SV102: real,SV245: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV245 )
| ~ ( ord_less_real @ SV245 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SV245 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2225]) ).
thf(2276,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2226]) ).
thf(2277,plain,
! [SV159: poly_real,SV102: real,SV246: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV246 )
| ~ ( ord_less_real @ SV246 @ SV102 ) )
| ( ( poly_real2 @ SV159 @ SV246 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2227]) ).
thf(2278,plain,
! [SV159: poly_real,SV102: real,SV33: real] :
( ( ( ! [SY570: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY570 )
| ~ ( ord_less_real @ SY570 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SY570 ) ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2228]) ).
thf(2279,plain,
! [SV159: poly_real,SV102: real,SV227: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV227 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV227 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV227 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2229]) ).
thf(2280,plain,
! [SV159: poly_real,SV102: real,SV233: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV233 )
| ~ ( ord_less_real @ SV233 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2230]) ).
thf(2281,plain,
! [SV107: real,SV163: poly_real,SV38: real] :
( ( ( ord_less_real @ SV38 @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2231]) ).
thf(2282,plain,
! [SV38: real,SV107: real,SV163: poly_real] :
( ( ( ord_less_real @ ( sK25_SY578 @ SV163 @ SV107 @ SV38 ) @ SV107 )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV163 @ SV107 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV163 @ SV38 ) )
= $false )
| ( ( ord_less_real @ SV38 @ SV107 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2232]) ).
thf(2283,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ord_less_eq_real @ SV111 @ SV201 ) )
= $false )
| ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( SV111 = SV201 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2233]) ).
thf(2284,plain,
! [SV201: real,SV111: real] :
( ( ( ~ ( ( SV111 != SV201 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( SV111 = SV201 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2233]) ).
thf(2285,plain,
! [SV169: poly_real,SV115: real,SV239: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV239 )
| ~ ( ord_less_eq_real @ SV239 @ SV115 ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV239 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2234]) ).
thf(2286,plain,
! [SV169: poly_real,SV115: real,SV247: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV247 )
| ~ ( ord_less_eq_real @ SV247 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2235]) ).
thf(2287,plain,
! [SV169: poly_real,SV115: real,SV240: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV240 )
| ~ ( ord_less_eq_real @ SV240 @ SV115 ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV240 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2236]) ).
thf(2288,plain,
! [SV169: poly_real,SV115: real,SV248: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV248 )
| ~ ( ord_less_eq_real @ SV248 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2237]) ).
thf(2289,plain,
! [SV169: poly_real,SV115: real,SV228: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV228 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV228 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV228 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2238]) ).
thf(2290,plain,
! [SV169: poly_real,SV115: real,SV234: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV234 )
| ~ ( ord_less_eq_real @ SV234 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2239]) ).
thf(2291,plain,
! [SV169: poly_real,SV115: real,SV249: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV249 )
| ~ ( ord_less_eq_real @ SV249 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SV249 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2240]) ).
thf(2292,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2241]) ).
thf(2293,plain,
! [SV169: poly_real,SV115: real,SV250: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV250 )
| ~ ( ord_less_eq_real @ SV250 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SV250 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2242]) ).
thf(2294,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2243]) ).
thf(2295,plain,
! [SV169: poly_real,SV115: real,SV229: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV229 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV229 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV229 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2244]) ).
thf(2296,plain,
! [SV169: poly_real,SV115: real,SV235: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV235 )
| ~ ( ord_less_eq_real @ SV235 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2245]) ).
thf(2297,plain,
! [SV169: poly_real,SV115: real,SV251: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV251 )
| ~ ( ord_less_eq_real @ SV251 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SV251 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2246]) ).
thf(2298,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2247]) ).
thf(2299,plain,
! [SV169: poly_real,SV115: real,SV252: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV252 )
| ~ ( ord_less_eq_real @ SV252 @ SV115 ) )
| ( ( poly_real2 @ SV169 @ SV252 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2248]) ).
thf(2300,plain,
! [SV169: poly_real,SV115: real,SV47: real] :
( ( ( ! [SY586: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY586 )
| ~ ( ord_less_eq_real @ SY586 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SY586 ) ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2249]) ).
thf(2301,plain,
! [SV169: poly_real,SV115: real,SV230: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV230 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV230 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV230 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2250]) ).
thf(2302,plain,
! [SV169: poly_real,SV115: real,SV236: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV236 )
| ~ ( ord_less_eq_real @ SV236 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2251]) ).
thf(2303,plain,
! [SV136: real,SV179: poly_real,SV70: real] :
( ( ( ord_less_real @ SV70 @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2255]) ).
thf(2304,plain,
! [SV70: real,SV136: real,SV179: poly_real] :
( ( ( ord_less_real @ ( sK33_SY603 @ SV179 @ SV136 @ SV70 ) @ SV136 )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV179 @ SV136 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV179 @ SV70 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV70 @ SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2256]) ).
thf(2305,plain,
! [SV182: real,SV140: real,SV74: real > real > $o] :
( ( ( SV74 @ ( sK63_SY685 @ SV140 @ SV182 @ SV74 ) @ ( sK61_SY410 @ SV182 @ SV140 @ SV74 ) )
= $true )
| ( ( SV74 @ SV140 @ SV182 )
= $true )
| ( ( SV74 @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) @ ( sK54_SY409 @ SV182 @ SV140 @ SV74 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY407 @ SV182 @ SV140 @ SV74 ) @ ( sK10_SY663 @ SV74 @ SV140 @ SV182 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2257]) ).
thf(2306,plain,
! [SV193: real,SV93: real] :
( ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $true )
| ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( SV93 = SV193 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2261]) ).
thf(2307,plain,
! [SV193: real,SV93: real] :
( ( ( SV93 != SV193 )
= $true )
| ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( SV93 = SV193 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2262]) ).
thf(2308,plain,
! [SV159: poly_real,SV102: real,SV237: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV237 )
| ~ ( ord_less_real @ SV237 @ SV102 ) ) )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV237 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2263]) ).
thf(2309,plain,
! [SV159: poly_real,SV102: real,SV241: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV241 )
| ~ ( ord_less_real @ SV241 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2264]) ).
thf(2310,plain,
! [SV159: poly_real,SV102: real,SV238: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV238 )
| ~ ( ord_less_real @ SV238 @ SV102 ) ) )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV238 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2265]) ).
thf(2311,plain,
! [SV159: poly_real,SV102: real,SV242: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV242 )
| ~ ( ord_less_real @ SV242 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2266]) ).
thf(2312,plain,
! [SV159: poly_real,SV102: real,SV225: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV225 )
= $false )
| ( ( ~ ( ord_less_real @ SV225 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV225 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2267]) ).
thf(2313,plain,
! [SV159: poly_real,SV102: real,SV231: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV231 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV231 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2268]) ).
thf(2314,plain,
! [SV159: poly_real,SV102: real,SV243: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV243 )
| ~ ( ord_less_real @ SV243 @ SV102 ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV243 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2269]) ).
thf(2315,plain,
! [SV159: poly_real,SV102: real,SV253: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV253 )
| ~ ( ord_less_real @ SV253 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2270]) ).
thf(2316,plain,
! [SV159: poly_real,SV102: real,SV244: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV244 )
| ~ ( ord_less_real @ SV244 @ SV102 ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV244 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2271]) ).
thf(2317,plain,
! [SV159: poly_real,SV102: real,SV254: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV254 )
| ~ ( ord_less_real @ SV254 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2272]) ).
thf(2318,plain,
! [SV159: poly_real,SV102: real,SV226: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV226 )
= $false )
| ( ( ~ ( ord_less_real @ SV226 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV226 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2273]) ).
thf(2319,plain,
! [SV159: poly_real,SV102: real,SV232: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV232 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV232 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2274]) ).
thf(2320,plain,
! [SV159: poly_real,SV102: real,SV245: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV245 )
| ~ ( ord_less_real @ SV245 @ SV102 ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV245 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2275]) ).
thf(2321,plain,
! [SV159: poly_real,SV102: real,SV255: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV255 )
| ~ ( ord_less_real @ SV255 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2276]) ).
thf(2322,plain,
! [SV159: poly_real,SV102: real,SV246: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV246 )
| ~ ( ord_less_real @ SV246 @ SV102 ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV246 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2277]) ).
thf(2323,plain,
! [SV159: poly_real,SV102: real,SV256: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV256 )
| ~ ( ord_less_real @ SV256 @ SV102 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2278]) ).
thf(2324,plain,
! [SV159: poly_real,SV102: real,SV227: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV227 )
= $false )
| ( ( ~ ( ord_less_real @ SV227 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV227 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2279]) ).
thf(2325,plain,
! [SV159: poly_real,SV102: real,SV233: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV233 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV233 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2280]) ).
thf(2326,plain,
! [SV201: real,SV111: real] :
( ( ( ord_less_eq_real @ SV111 @ SV201 )
= $true )
| ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( SV111 = SV201 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2283]) ).
thf(2327,plain,
! [SV201: real,SV111: real] :
( ( ( SV111 != SV201 )
= $true )
| ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( SV111 = SV201 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2284]) ).
thf(2328,plain,
! [SV169: poly_real,SV115: real,SV239: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV239 )
| ~ ( ord_less_eq_real @ SV239 @ SV115 ) ) )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV239 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2285]) ).
thf(2329,plain,
! [SV169: poly_real,SV115: real,SV247: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV247 )
| ~ ( ord_less_eq_real @ SV247 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2286]) ).
thf(2330,plain,
! [SV169: poly_real,SV115: real,SV240: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV240 )
| ~ ( ord_less_eq_real @ SV240 @ SV115 ) ) )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV240 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2287]) ).
thf(2331,plain,
! [SV169: poly_real,SV115: real,SV248: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV248 )
| ~ ( ord_less_eq_real @ SV248 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2288]) ).
thf(2332,plain,
! [SV169: poly_real,SV115: real,SV228: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV228 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV228 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV228 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2289]) ).
thf(2333,plain,
! [SV169: poly_real,SV115: real,SV234: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV234 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV234 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2290]) ).
thf(2334,plain,
! [SV169: poly_real,SV115: real,SV249: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV249 )
| ~ ( ord_less_eq_real @ SV249 @ SV115 ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV249 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2291]) ).
thf(2335,plain,
! [SV169: poly_real,SV115: real,SV257: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV257 )
| ~ ( ord_less_eq_real @ SV257 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2292]) ).
thf(2336,plain,
! [SV169: poly_real,SV115: real,SV250: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV250 )
| ~ ( ord_less_eq_real @ SV250 @ SV115 ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV250 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2293]) ).
thf(2337,plain,
! [SV169: poly_real,SV115: real,SV258: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV258 )
| ~ ( ord_less_eq_real @ SV258 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2294]) ).
thf(2338,plain,
! [SV169: poly_real,SV115: real,SV229: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV229 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV229 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV229 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2295]) ).
thf(2339,plain,
! [SV169: poly_real,SV115: real,SV235: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV235 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV235 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2296]) ).
thf(2340,plain,
! [SV169: poly_real,SV115: real,SV251: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV251 )
| ~ ( ord_less_eq_real @ SV251 @ SV115 ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV251 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2297]) ).
thf(2341,plain,
! [SV169: poly_real,SV115: real,SV259: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV259 )
| ~ ( ord_less_eq_real @ SV259 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2298]) ).
thf(2342,plain,
! [SV169: poly_real,SV115: real,SV252: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV252 )
| ~ ( ord_less_eq_real @ SV252 @ SV115 ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV252 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2299]) ).
thf(2343,plain,
! [SV169: poly_real,SV115: real,SV260: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV260 )
| ~ ( ord_less_eq_real @ SV260 @ SV115 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2300]) ).
thf(2344,plain,
! [SV169: poly_real,SV115: real,SV230: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV230 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV230 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV230 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2301]) ).
thf(2345,plain,
! [SV169: poly_real,SV115: real,SV236: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV236 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV236 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2302]) ).
thf(2346,plain,
! [SV193: real,SV93: real] :
( ( ( SV93 = SV193 )
= $false )
| ( ( SV93
= ( ord_min_real @ SV93 @ SV193 ) )
= $false )
| ( ( SV93 = SV193 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2307]) ).
thf(2347,plain,
! [SV159: poly_real,SV102: real,SV237: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV237 )
| ~ ( ord_less_real @ SV237 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV237 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2308]) ).
thf(2348,plain,
! [SV159: poly_real,SV102: real,SV241: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV241 )
| ~ ( ord_less_real @ SV241 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2309]) ).
thf(2349,plain,
! [SV159: poly_real,SV102: real,SV238: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV238 )
| ~ ( ord_less_real @ SV238 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV238 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2310]) ).
thf(2350,plain,
! [SV159: poly_real,SV102: real,SV242: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV242 )
| ~ ( ord_less_real @ SV242 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2311]) ).
thf(2351,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV225: real] :
( ( ( ord_less_real @ SV225 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV225 )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV225 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2312]) ).
thf(2352,plain,
! [SV159: poly_real,SV102: real,SV231: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV231 )
= $false )
| ( ( ~ ( ord_less_real @ SV231 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2313]) ).
thf(2353,plain,
! [SV159: poly_real,SV102: real,SV243: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV243 )
| ~ ( ord_less_real @ SV243 @ SV102 ) ) )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV243 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2314]) ).
thf(2354,plain,
! [SV159: poly_real,SV102: real,SV253: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV253 )
| ~ ( ord_less_real @ SV253 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2315]) ).
thf(2355,plain,
! [SV159: poly_real,SV102: real,SV244: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV244 )
| ~ ( ord_less_real @ SV244 @ SV102 ) ) )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV244 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2316]) ).
thf(2356,plain,
! [SV159: poly_real,SV102: real,SV254: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV254 )
| ~ ( ord_less_real @ SV254 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2317]) ).
thf(2357,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV226: real] :
( ( ( ord_less_real @ SV226 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV226 )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV226 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2318]) ).
thf(2358,plain,
! [SV159: poly_real,SV102: real,SV232: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV232 )
= $false )
| ( ( ~ ( ord_less_real @ SV232 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2319]) ).
thf(2359,plain,
! [SV159: poly_real,SV102: real,SV245: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV245 )
| ~ ( ord_less_real @ SV245 @ SV102 ) ) )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV245 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2320]) ).
thf(2360,plain,
! [SV159: poly_real,SV102: real,SV255: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV255 )
| ~ ( ord_less_real @ SV255 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2321]) ).
thf(2361,plain,
! [SV159: poly_real,SV102: real,SV246: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV246 )
| ~ ( ord_less_real @ SV246 @ SV102 ) ) )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV246 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2322]) ).
thf(2362,plain,
! [SV159: poly_real,SV102: real,SV256: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV256 )
| ~ ( ord_less_real @ SV256 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2323]) ).
thf(2363,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV227: real] :
( ( ( ord_less_real @ SV227 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV227 )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV227 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2324]) ).
thf(2364,plain,
! [SV159: poly_real,SV102: real,SV233: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV233 )
= $false )
| ( ( ~ ( ord_less_real @ SV233 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2325]) ).
thf(2365,plain,
! [SV201: real,SV111: real] :
( ( ( SV111 = SV201 )
= $false )
| ( ( ord_less_eq_real @ SV111 @ SV201 )
= $false )
| ( ( SV111 = SV201 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2327]) ).
thf(2366,plain,
! [SV169: poly_real,SV115: real,SV239: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV239 )
| ~ ( ord_less_eq_real @ SV239 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV239 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2328]) ).
thf(2367,plain,
! [SV169: poly_real,SV115: real,SV247: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV247 )
| ~ ( ord_less_eq_real @ SV247 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2329]) ).
thf(2368,plain,
! [SV169: poly_real,SV115: real,SV240: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV240 )
| ~ ( ord_less_eq_real @ SV240 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV240 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2330]) ).
thf(2369,plain,
! [SV169: poly_real,SV115: real,SV248: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV248 )
| ~ ( ord_less_eq_real @ SV248 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2331]) ).
thf(2370,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV228: real] :
( ( ( ord_less_eq_real @ SV228 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV228 )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV228 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2332]) ).
thf(2371,plain,
! [SV169: poly_real,SV115: real,SV234: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV234 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV234 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2333]) ).
thf(2372,plain,
! [SV169: poly_real,SV115: real,SV249: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV249 )
| ~ ( ord_less_eq_real @ SV249 @ SV115 ) ) )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV249 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2334]) ).
thf(2373,plain,
! [SV169: poly_real,SV115: real,SV257: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV257 )
| ~ ( ord_less_eq_real @ SV257 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2335]) ).
thf(2374,plain,
! [SV169: poly_real,SV115: real,SV250: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV250 )
| ~ ( ord_less_eq_real @ SV250 @ SV115 ) ) )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV250 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2336]) ).
thf(2375,plain,
! [SV169: poly_real,SV115: real,SV258: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV258 )
| ~ ( ord_less_eq_real @ SV258 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2337]) ).
thf(2376,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV229: real] :
( ( ( ord_less_eq_real @ SV229 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV229 )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV229 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2338]) ).
thf(2377,plain,
! [SV169: poly_real,SV115: real,SV235: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV235 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV235 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2339]) ).
thf(2378,plain,
! [SV169: poly_real,SV115: real,SV251: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV251 )
| ~ ( ord_less_eq_real @ SV251 @ SV115 ) ) )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV251 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2340]) ).
thf(2379,plain,
! [SV169: poly_real,SV115: real,SV259: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV259 )
| ~ ( ord_less_eq_real @ SV259 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2341]) ).
thf(2380,plain,
! [SV169: poly_real,SV115: real,SV252: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV252 )
| ~ ( ord_less_eq_real @ SV252 @ SV115 ) ) )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV252 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2342]) ).
thf(2381,plain,
! [SV169: poly_real,SV115: real,SV260: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV260 )
| ~ ( ord_less_eq_real @ SV260 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2343]) ).
thf(2382,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV230: real] :
( ( ( ord_less_eq_real @ SV230 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV230 )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV230 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2344]) ).
thf(2383,plain,
! [SV169: poly_real,SV115: real,SV236: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV236 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV236 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2345]) ).
thf(2384,plain,
! [SV159: poly_real,SV102: real,SV237: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV237 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV237 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV237 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2347]) ).
thf(2385,plain,
! [SV159: poly_real,SV102: real,SV241: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV241 )
| ~ ( ord_less_real @ SV241 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2348]) ).
thf(2386,plain,
! [SV159: poly_real,SV102: real,SV238: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV238 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV238 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV238 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2349]) ).
thf(2387,plain,
! [SV159: poly_real,SV102: real,SV242: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV242 )
| ~ ( ord_less_real @ SV242 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2350]) ).
thf(2388,plain,
! [SV102: real,SV33: real,SV225: real,SV159: poly_real] :
( ( ( ( poly_real2 @ SV159 @ SV225 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV225 )
= $false )
| ( ( ord_less_real @ SV225 @ SV102 )
= $false )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2351]) ).
thf(2389,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV231: real] :
( ( ( ord_less_real @ SV231 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV231 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2352]) ).
thf(2390,plain,
! [SV159: poly_real,SV102: real,SV243: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV243 )
| ~ ( ord_less_real @ SV243 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV243 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2353]) ).
thf(2391,plain,
! [SV159: poly_real,SV102: real,SV253: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV253 )
| ~ ( ord_less_real @ SV253 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2354]) ).
thf(2392,plain,
! [SV159: poly_real,SV102: real,SV244: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV244 )
| ~ ( ord_less_real @ SV244 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV244 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2355]) ).
thf(2393,plain,
! [SV159: poly_real,SV102: real,SV254: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV254 )
| ~ ( ord_less_real @ SV254 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2356]) ).
thf(2394,plain,
! [SV102: real,SV33: real,SV226: real,SV159: poly_real] :
( ( ( ( poly_real2 @ SV159 @ SV226 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV226 )
= $false )
| ( ( ord_less_real @ SV226 @ SV102 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2357]) ).
thf(2395,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV232: real] :
( ( ( ord_less_real @ SV232 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV232 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2358]) ).
thf(2396,plain,
! [SV159: poly_real,SV102: real,SV245: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV245 )
| ~ ( ord_less_real @ SV245 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV245 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2359]) ).
thf(2397,plain,
! [SV159: poly_real,SV102: real,SV255: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV255 )
| ~ ( ord_less_real @ SV255 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2360]) ).
thf(2398,plain,
! [SV159: poly_real,SV102: real,SV246: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV246 )
| ~ ( ord_less_real @ SV246 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV246 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2361]) ).
thf(2399,plain,
! [SV159: poly_real,SV102: real,SV256: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV256 )
| ~ ( ord_less_real @ SV256 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2362]) ).
thf(2400,plain,
! [SV102: real,SV33: real,SV227: real,SV159: poly_real] :
( ( ( ( poly_real2 @ SV159 @ SV227 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV227 )
= $false )
| ( ( ord_less_real @ SV227 @ SV102 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2363]) ).
thf(2401,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV233: real] :
( ( ( ord_less_real @ SV233 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV233 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2364]) ).
thf(2402,plain,
! [SV169: poly_real,SV115: real,SV239: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV239 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV239 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV239 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2366]) ).
thf(2403,plain,
! [SV169: poly_real,SV115: real,SV247: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV247 )
| ~ ( ord_less_eq_real @ SV247 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2367]) ).
thf(2404,plain,
! [SV169: poly_real,SV115: real,SV240: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV240 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV240 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV240 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2368]) ).
thf(2405,plain,
! [SV169: poly_real,SV115: real,SV248: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV248 )
| ~ ( ord_less_eq_real @ SV248 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2369]) ).
thf(2406,plain,
! [SV115: real,SV47: real,SV228: real,SV169: poly_real] :
( ( ( ( poly_real2 @ SV169 @ SV228 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV47 @ SV228 )
= $false )
| ( ( ord_less_eq_real @ SV228 @ SV115 )
= $false )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2370]) ).
thf(2407,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV234: real] :
( ( ( ord_less_eq_real @ SV234 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV234 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2371]) ).
thf(2408,plain,
! [SV169: poly_real,SV115: real,SV249: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV249 )
| ~ ( ord_less_eq_real @ SV249 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV249 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2372]) ).
thf(2409,plain,
! [SV169: poly_real,SV115: real,SV257: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV257 )
| ~ ( ord_less_eq_real @ SV257 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2373]) ).
thf(2410,plain,
! [SV169: poly_real,SV115: real,SV250: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV250 )
| ~ ( ord_less_eq_real @ SV250 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV250 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2374]) ).
thf(2411,plain,
! [SV169: poly_real,SV115: real,SV258: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV258 )
| ~ ( ord_less_eq_real @ SV258 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2375]) ).
thf(2412,plain,
! [SV115: real,SV47: real,SV229: real,SV169: poly_real] :
( ( ( ( poly_real2 @ SV169 @ SV229 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV47 @ SV229 )
= $false )
| ( ( ord_less_eq_real @ SV229 @ SV115 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2376]) ).
thf(2413,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV235: real] :
( ( ( ord_less_eq_real @ SV235 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV235 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2377]) ).
thf(2414,plain,
! [SV169: poly_real,SV115: real,SV251: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV251 )
| ~ ( ord_less_eq_real @ SV251 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV251 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2378]) ).
thf(2415,plain,
! [SV169: poly_real,SV115: real,SV259: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV259 )
| ~ ( ord_less_eq_real @ SV259 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2379]) ).
thf(2416,plain,
! [SV169: poly_real,SV115: real,SV252: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV252 )
| ~ ( ord_less_eq_real @ SV252 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV252 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2380]) ).
thf(2417,plain,
! [SV169: poly_real,SV115: real,SV260: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV260 )
| ~ ( ord_less_eq_real @ SV260 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2381]) ).
thf(2418,plain,
! [SV115: real,SV47: real,SV230: real,SV169: poly_real] :
( ( ( ( poly_real2 @ SV169 @ SV230 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV47 @ SV230 )
= $false )
| ( ( ord_less_eq_real @ SV230 @ SV115 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2382]) ).
thf(2419,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV236: real] :
( ( ( ord_less_eq_real @ SV236 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV236 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2383]) ).
thf(2420,plain,
! [SV159: poly_real,SV102: real,SV237: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV237 )
= $false )
| ( ( ~ ( ord_less_real @ SV237 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV237 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2384]) ).
thf(2421,plain,
! [SV159: poly_real,SV102: real,SV241: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV241 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV241 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2385]) ).
thf(2422,plain,
! [SV159: poly_real,SV102: real,SV238: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV238 )
= $false )
| ( ( ~ ( ord_less_real @ SV238 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV238 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2386]) ).
thf(2423,plain,
! [SV159: poly_real,SV102: real,SV242: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV242 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV242 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2387]) ).
thf(2424,plain,
! [SV231: real,SV159: poly_real,SV102: real,SV261: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV261 )
| ~ ( ord_less_real @ SV261 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SV261 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV231 )
= $false )
| ( ( ord_less_real @ SV231 @ SV102 )
= $false )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2389]) ).
thf(2425,plain,
! [SV159: poly_real,SV102: real,SV243: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV243 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV243 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV243 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2390]) ).
thf(2426,plain,
! [SV159: poly_real,SV102: real,SV253: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV253 )
| ~ ( ord_less_real @ SV253 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2391]) ).
thf(2427,plain,
! [SV159: poly_real,SV102: real,SV244: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV244 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV244 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV244 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2392]) ).
thf(2428,plain,
! [SV159: poly_real,SV102: real,SV254: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV254 )
| ~ ( ord_less_real @ SV254 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2393]) ).
thf(2429,plain,
! [SV232: real,SV159: poly_real,SV102: real,SV262: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV262 )
| ~ ( ord_less_real @ SV262 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SV262 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV232 )
= $false )
| ( ( ord_less_real @ SV232 @ SV102 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2395]) ).
thf(2430,plain,
! [SV159: poly_real,SV102: real,SV245: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV245 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV245 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV245 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2396]) ).
thf(2431,plain,
! [SV159: poly_real,SV102: real,SV255: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV255 )
| ~ ( ord_less_real @ SV255 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2397]) ).
thf(2432,plain,
! [SV159: poly_real,SV102: real,SV246: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV246 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV246 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV246 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2398]) ).
thf(2433,plain,
! [SV159: poly_real,SV102: real,SV256: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV256 )
| ~ ( ord_less_real @ SV256 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2399]) ).
thf(2434,plain,
! [SV233: real,SV159: poly_real,SV102: real,SV263: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV263 )
| ~ ( ord_less_real @ SV263 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SV263 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV233 )
= $false )
| ( ( ord_less_real @ SV233 @ SV102 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2401]) ).
thf(2435,plain,
! [SV169: poly_real,SV115: real,SV239: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV239 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV239 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV239 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2402]) ).
thf(2436,plain,
! [SV169: poly_real,SV115: real,SV247: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV247 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV247 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2403]) ).
thf(2437,plain,
! [SV169: poly_real,SV115: real,SV240: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV240 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV240 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV240 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2404]) ).
thf(2438,plain,
! [SV169: poly_real,SV115: real,SV248: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV248 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV248 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2405]) ).
thf(2439,plain,
! [SV234: real,SV169: poly_real,SV115: real,SV264: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV264 )
| ~ ( ord_less_eq_real @ SV264 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SV264 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV234 )
= $false )
| ( ( ord_less_eq_real @ SV234 @ SV115 )
= $false )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2407]) ).
thf(2440,plain,
! [SV169: poly_real,SV115: real,SV249: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV249 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV249 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV249 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2408]) ).
thf(2441,plain,
! [SV169: poly_real,SV115: real,SV257: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV257 )
| ~ ( ord_less_eq_real @ SV257 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2409]) ).
thf(2442,plain,
! [SV169: poly_real,SV115: real,SV250: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV250 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV250 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV250 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2410]) ).
thf(2443,plain,
! [SV169: poly_real,SV115: real,SV258: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV258 )
| ~ ( ord_less_eq_real @ SV258 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2411]) ).
thf(2444,plain,
! [SV235: real,SV169: poly_real,SV115: real,SV265: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV265 )
| ~ ( ord_less_eq_real @ SV265 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SV265 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV235 )
= $false )
| ( ( ord_less_eq_real @ SV235 @ SV115 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2413]) ).
thf(2445,plain,
! [SV169: poly_real,SV115: real,SV251: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV251 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV251 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV251 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2414]) ).
thf(2446,plain,
! [SV169: poly_real,SV115: real,SV259: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV259 )
| ~ ( ord_less_eq_real @ SV259 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2415]) ).
thf(2447,plain,
! [SV169: poly_real,SV115: real,SV252: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV252 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV252 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV252 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2416]) ).
thf(2448,plain,
! [SV169: poly_real,SV115: real,SV260: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV260 )
| ~ ( ord_less_eq_real @ SV260 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2417]) ).
thf(2449,plain,
! [SV236: real,SV169: poly_real,SV115: real,SV266: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV266 )
| ~ ( ord_less_eq_real @ SV266 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SV266 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV236 )
= $false )
| ( ( ord_less_eq_real @ SV236 @ SV115 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2419]) ).
thf(2450,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV237: real] :
( ( ( ord_less_real @ SV237 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV237 )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV237 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2420]) ).
thf(2451,plain,
! [SV159: poly_real,SV102: real,SV241: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV241 )
= $false )
| ( ( ~ ( ord_less_real @ SV241 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2421]) ).
thf(2452,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV238: real] :
( ( ( ord_less_real @ SV238 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV238 )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV238 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2422]) ).
thf(2453,plain,
! [SV159: poly_real,SV102: real,SV242: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV242 )
= $false )
| ( ( ~ ( ord_less_real @ SV242 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2423]) ).
thf(2454,plain,
! [SV231: real,SV159: poly_real,SV102: real,SV261: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV261 )
| ~ ( ord_less_real @ SV261 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV261 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV231 )
= $false )
| ( ( ord_less_real @ SV231 @ SV102 )
= $false )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2424]) ).
thf(2455,plain,
! [SV159: poly_real,SV102: real,SV243: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV243 )
= $false )
| ( ( ~ ( ord_less_real @ SV243 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV243 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2425]) ).
thf(2456,plain,
! [SV159: poly_real,SV102: real,SV253: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV253 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV253 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2426]) ).
thf(2457,plain,
! [SV159: poly_real,SV102: real,SV244: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV244 )
= $false )
| ( ( ~ ( ord_less_real @ SV244 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV244 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2427]) ).
thf(2458,plain,
! [SV159: poly_real,SV102: real,SV254: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV254 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV254 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2428]) ).
thf(2459,plain,
! [SV232: real,SV159: poly_real,SV102: real,SV262: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV262 )
| ~ ( ord_less_real @ SV262 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV262 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV232 )
= $false )
| ( ( ord_less_real @ SV232 @ SV102 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2429]) ).
thf(2460,plain,
! [SV159: poly_real,SV102: real,SV245: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV245 )
= $false )
| ( ( ~ ( ord_less_real @ SV245 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV245 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2430]) ).
thf(2461,plain,
! [SV159: poly_real,SV102: real,SV255: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV255 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV255 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2431]) ).
thf(2462,plain,
! [SV159: poly_real,SV102: real,SV246: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV246 )
= $false )
| ( ( ~ ( ord_less_real @ SV246 @ SV102 ) )
= $true )
| ( ( ( poly_real2 @ SV159 @ SV246 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2432]) ).
thf(2463,plain,
! [SV159: poly_real,SV102: real,SV256: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV256 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV256 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2433]) ).
thf(2464,plain,
! [SV233: real,SV159: poly_real,SV102: real,SV263: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV263 )
| ~ ( ord_less_real @ SV263 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV263 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV233 )
= $false )
| ( ( ord_less_real @ SV233 @ SV102 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2434]) ).
thf(2465,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV239: real] :
( ( ( ord_less_eq_real @ SV239 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV239 )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV239 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2435]) ).
thf(2466,plain,
! [SV169: poly_real,SV115: real,SV247: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV247 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV247 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2436]) ).
thf(2467,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV240: real] :
( ( ( ord_less_eq_real @ SV240 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV240 )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV240 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2437]) ).
thf(2468,plain,
! [SV169: poly_real,SV115: real,SV248: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV248 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV248 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2438]) ).
thf(2469,plain,
! [SV234: real,SV169: poly_real,SV115: real,SV264: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV264 )
| ~ ( ord_less_eq_real @ SV264 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV264 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV234 )
= $false )
| ( ( ord_less_eq_real @ SV234 @ SV115 )
= $false )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2439]) ).
thf(2470,plain,
! [SV169: poly_real,SV115: real,SV249: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV249 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV249 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV249 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2440]) ).
thf(2471,plain,
! [SV169: poly_real,SV115: real,SV257: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV257 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV257 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2441]) ).
thf(2472,plain,
! [SV169: poly_real,SV115: real,SV250: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV250 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV250 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV250 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2442]) ).
thf(2473,plain,
! [SV169: poly_real,SV115: real,SV258: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV258 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV258 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2443]) ).
thf(2474,plain,
! [SV235: real,SV169: poly_real,SV115: real,SV265: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV265 )
| ~ ( ord_less_eq_real @ SV265 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV265 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV235 )
= $false )
| ( ( ord_less_eq_real @ SV235 @ SV115 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2444]) ).
thf(2475,plain,
! [SV169: poly_real,SV115: real,SV251: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV251 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV251 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV251 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2445]) ).
thf(2476,plain,
! [SV169: poly_real,SV115: real,SV259: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV259 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV259 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2446]) ).
thf(2477,plain,
! [SV169: poly_real,SV115: real,SV252: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV252 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV252 @ SV115 ) )
= $true )
| ( ( ( poly_real2 @ SV169 @ SV252 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2447]) ).
thf(2478,plain,
! [SV169: poly_real,SV115: real,SV260: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV260 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV260 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2448]) ).
thf(2479,plain,
! [SV236: real,SV169: poly_real,SV115: real,SV266: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV266 )
| ~ ( ord_less_eq_real @ SV266 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV266 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV236 )
= $false )
| ( ( ord_less_eq_real @ SV236 @ SV115 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2449]) ).
thf(2480,plain,
! [SV102: real,SV33: real,SV237: real,SV159: poly_real] :
( ( ( ( poly_real2 @ SV159 @ SV237 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV237 )
= $false )
| ( ( ord_less_real @ SV237 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2450]) ).
thf(2481,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV241: real] :
( ( ( ord_less_real @ SV241 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV241 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2451]) ).
thf(2482,plain,
! [SV102: real,SV33: real,SV238: real,SV159: poly_real] :
( ( ( ( poly_real2 @ SV159 @ SV238 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV238 )
= $false )
| ( ( ord_less_real @ SV238 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2452]) ).
thf(2483,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV242: real] :
( ( ( ord_less_real @ SV242 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV242 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2453]) ).
thf(2484,plain,
! [SV231: real,SV159: poly_real,SV102: real,SV261: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV261 )
| ~ ( ord_less_real @ SV261 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV261 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV231 )
= $false )
| ( ( ord_less_real @ SV231 @ SV102 )
= $false )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2454]) ).
thf(2485,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV243: real] :
( ( ( ord_less_real @ SV243 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV243 )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV243 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2455]) ).
thf(2486,plain,
! [SV159: poly_real,SV102: real,SV253: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV253 )
= $false )
| ( ( ~ ( ord_less_real @ SV253 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2456]) ).
thf(2487,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV244: real] :
( ( ( ord_less_real @ SV244 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV244 )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV244 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2457]) ).
thf(2488,plain,
! [SV159: poly_real,SV102: real,SV254: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV254 )
= $false )
| ( ( ~ ( ord_less_real @ SV254 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2458]) ).
thf(2489,plain,
! [SV232: real,SV159: poly_real,SV102: real,SV262: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV262 )
| ~ ( ord_less_real @ SV262 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV262 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV232 )
= $false )
| ( ( ord_less_real @ SV232 @ SV102 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2459]) ).
thf(2490,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV245: real] :
( ( ( ord_less_real @ SV245 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV245 )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV245 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2460]) ).
thf(2491,plain,
! [SV159: poly_real,SV102: real,SV255: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV255 )
= $false )
| ( ( ~ ( ord_less_real @ SV255 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2461]) ).
thf(2492,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV246: real] :
( ( ( ord_less_real @ SV246 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV246 )
= $false )
| ( ( ( poly_real2 @ SV159 @ SV246 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2462]) ).
thf(2493,plain,
! [SV159: poly_real,SV102: real,SV256: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV256 )
= $false )
| ( ( ~ ( ord_less_real @ SV256 @ SV102 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2463]) ).
thf(2494,plain,
! [SV233: real,SV159: poly_real,SV102: real,SV263: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV263 )
| ~ ( ord_less_real @ SV263 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV263 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV233 )
= $false )
| ( ( ord_less_real @ SV233 @ SV102 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2464]) ).
thf(2495,plain,
! [SV115: real,SV47: real,SV239: real,SV169: poly_real] :
( ( ( ( poly_real2 @ SV169 @ SV239 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV47 @ SV239 )
= $false )
| ( ( ord_less_eq_real @ SV239 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2465]) ).
thf(2496,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV247: real] :
( ( ( ord_less_eq_real @ SV247 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV247 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2466]) ).
thf(2497,plain,
! [SV115: real,SV47: real,SV240: real,SV169: poly_real] :
( ( ( ( poly_real2 @ SV169 @ SV240 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV47 @ SV240 )
= $false )
| ( ( ord_less_eq_real @ SV240 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2467]) ).
thf(2498,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV248: real] :
( ( ( ord_less_eq_real @ SV248 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV248 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2468]) ).
thf(2499,plain,
! [SV234: real,SV169: poly_real,SV115: real,SV264: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV264 )
| ~ ( ord_less_eq_real @ SV264 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV264 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV234 )
= $false )
| ( ( ord_less_eq_real @ SV234 @ SV115 )
= $false )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2469]) ).
thf(2500,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV249: real] :
( ( ( ord_less_eq_real @ SV249 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV249 )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV249 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2470]) ).
thf(2501,plain,
! [SV169: poly_real,SV115: real,SV257: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV257 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV257 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2471]) ).
thf(2502,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV250: real] :
( ( ( ord_less_eq_real @ SV250 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV250 )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV250 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2472]) ).
thf(2503,plain,
! [SV169: poly_real,SV115: real,SV258: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV258 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV258 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2473]) ).
thf(2504,plain,
! [SV235: real,SV169: poly_real,SV115: real,SV265: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV265 )
| ~ ( ord_less_eq_real @ SV265 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV265 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV235 )
= $false )
| ( ( ord_less_eq_real @ SV235 @ SV115 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2474]) ).
thf(2505,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV251: real] :
( ( ( ord_less_eq_real @ SV251 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV251 )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV251 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2475]) ).
thf(2506,plain,
! [SV169: poly_real,SV115: real,SV259: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV259 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV259 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2476]) ).
thf(2507,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV252: real] :
( ( ( ord_less_eq_real @ SV252 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV252 )
= $false )
| ( ( ( poly_real2 @ SV169 @ SV252 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2477]) ).
thf(2508,plain,
! [SV169: poly_real,SV115: real,SV260: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV260 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV260 @ SV115 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2478]) ).
thf(2509,plain,
! [SV236: real,SV169: poly_real,SV115: real,SV266: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV266 )
| ~ ( ord_less_eq_real @ SV266 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV266 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV236 )
= $false )
| ( ( ord_less_eq_real @ SV236 @ SV115 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2479]) ).
thf(2510,plain,
! [SV241: real,SV159: poly_real,SV102: real,SV267: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV267 )
| ~ ( ord_less_real @ SV267 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SV267 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV241 )
= $false )
| ( ( ord_less_real @ SV241 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2481]) ).
thf(2511,plain,
! [SV242: real,SV159: poly_real,SV102: real,SV268: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV268 )
| ~ ( ord_less_real @ SV268 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SV268 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV242 )
= $false )
| ( ( ord_less_real @ SV242 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2483]) ).
thf(2512,plain,
! [SV231: real,SV159: poly_real,SV102: real,SV261: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV261 )
| ~ ( ord_less_real @ SV261 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV261 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV231 )
= $false )
| ( ( ord_less_real @ SV231 @ SV102 )
= $false )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2484]) ).
thf(2513,plain,
! [SV102: real,SV33: real,SV243: real,SV159: poly_real] :
( ( ( ( poly_real2 @ SV159 @ SV243 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV243 )
= $false )
| ( ( ord_less_real @ SV243 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2485]) ).
thf(2514,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV253: real] :
( ( ( ord_less_real @ SV253 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV253 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2486]) ).
thf(2515,plain,
! [SV102: real,SV33: real,SV244: real,SV159: poly_real] :
( ( ( ( poly_real2 @ SV159 @ SV244 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV244 )
= $false )
| ( ( ord_less_real @ SV244 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2487]) ).
thf(2516,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV254: real] :
( ( ( ord_less_real @ SV254 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV254 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2488]) ).
thf(2517,plain,
! [SV232: real,SV159: poly_real,SV102: real,SV262: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV262 )
| ~ ( ord_less_real @ SV262 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV262 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV232 )
= $false )
| ( ( ord_less_real @ SV232 @ SV102 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2489]) ).
thf(2518,plain,
! [SV102: real,SV33: real,SV245: real,SV159: poly_real] :
( ( ( ( poly_real2 @ SV159 @ SV245 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV245 )
= $false )
| ( ( ord_less_real @ SV245 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2490]) ).
thf(2519,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV255: real] :
( ( ( ord_less_real @ SV255 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV255 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2491]) ).
thf(2520,plain,
! [SV102: real,SV33: real,SV246: real,SV159: poly_real] :
( ( ( ( poly_real2 @ SV159 @ SV246 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV246 )
= $false )
| ( ( ord_less_real @ SV246 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2492]) ).
thf(2521,plain,
! [SV159: poly_real,SV33: real,SV102: real,SV256: real] :
( ( ( ord_less_real @ SV256 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV256 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) )
= $true )
| ( ( ! [SY571: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SY571 )
| ~ ( ord_less_real @ SY571 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SY571 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2493]) ).
thf(2522,plain,
! [SV233: real,SV159: poly_real,SV102: real,SV263: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV263 )
| ~ ( ord_less_real @ SV263 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV263 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV233 )
= $false )
| ( ( ord_less_real @ SV233 @ SV102 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2494]) ).
thf(2523,plain,
! [SV247: real,SV169: poly_real,SV115: real,SV269: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV269 )
| ~ ( ord_less_eq_real @ SV269 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SV269 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV247 )
= $false )
| ( ( ord_less_eq_real @ SV247 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2496]) ).
thf(2524,plain,
! [SV248: real,SV169: poly_real,SV115: real,SV270: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV270 )
| ~ ( ord_less_eq_real @ SV270 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SV270 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV248 )
= $false )
| ( ( ord_less_eq_real @ SV248 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2498]) ).
thf(2525,plain,
! [SV234: real,SV169: poly_real,SV115: real,SV264: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV264 )
| ~ ( ord_less_eq_real @ SV264 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV264 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV234 )
= $false )
| ( ( ord_less_eq_real @ SV234 @ SV115 )
= $false )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2499]) ).
thf(2526,plain,
! [SV115: real,SV47: real,SV249: real,SV169: poly_real] :
( ( ( ( poly_real2 @ SV169 @ SV249 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV47 @ SV249 )
= $false )
| ( ( ord_less_eq_real @ SV249 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2500]) ).
thf(2527,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV257: real] :
( ( ( ord_less_eq_real @ SV257 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV257 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2501]) ).
thf(2528,plain,
! [SV115: real,SV47: real,SV250: real,SV169: poly_real] :
( ( ( ( poly_real2 @ SV169 @ SV250 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV47 @ SV250 )
= $false )
| ( ( ord_less_eq_real @ SV250 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2502]) ).
thf(2529,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV258: real] :
( ( ( ord_less_eq_real @ SV258 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV258 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2503]) ).
thf(2530,plain,
! [SV235: real,SV169: poly_real,SV115: real,SV265: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV265 )
| ~ ( ord_less_eq_real @ SV265 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV265 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV235 )
= $false )
| ( ( ord_less_eq_real @ SV235 @ SV115 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2504]) ).
thf(2531,plain,
! [SV115: real,SV47: real,SV251: real,SV169: poly_real] :
( ( ( ( poly_real2 @ SV169 @ SV251 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV47 @ SV251 )
= $false )
| ( ( ord_less_eq_real @ SV251 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2505]) ).
thf(2532,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV259: real] :
( ( ( ord_less_eq_real @ SV259 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV259 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2506]) ).
thf(2533,plain,
! [SV115: real,SV47: real,SV252: real,SV169: poly_real] :
( ( ( ( poly_real2 @ SV169 @ SV252 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV47 @ SV252 )
= $false )
| ( ( ord_less_eq_real @ SV252 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2507]) ).
thf(2534,plain,
! [SV169: poly_real,SV47: real,SV115: real,SV260: real] :
( ( ( ord_less_eq_real @ SV260 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV260 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) )
= $true )
| ( ( ! [SY587: real] :
( ~ ~ ( ~ ( ord_less_real @ SV47 @ SY587 )
| ~ ( ord_less_eq_real @ SY587 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SY587 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2508]) ).
thf(2535,plain,
! [SV236: real,SV169: poly_real,SV115: real,SV266: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV266 )
| ~ ( ord_less_eq_real @ SV266 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV266 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV236 )
= $false )
| ( ( ord_less_eq_real @ SV236 @ SV115 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2509]) ).
thf(2536,plain,
! [SV241: real,SV159: poly_real,SV102: real,SV267: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV267 )
| ~ ( ord_less_real @ SV267 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV267 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV241 )
= $false )
| ( ( ord_less_real @ SV241 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2510]) ).
thf(2537,plain,
! [SV242: real,SV159: poly_real,SV102: real,SV268: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV268 )
| ~ ( ord_less_real @ SV268 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV268 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV242 )
= $false )
| ( ( ord_less_real @ SV242 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2511]) ).
thf(2538,plain,
! [SV231: real,SV159: poly_real,SV102: real,SV261: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV261 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV261 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV261 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV231 )
= $false )
| ( ( ord_less_real @ SV231 @ SV102 )
= $false )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2512]) ).
thf(2539,plain,
! [SV253: real,SV159: poly_real,SV102: real,SV271: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV271 )
| ~ ( ord_less_real @ SV271 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SV271 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV253 )
= $false )
| ( ( ord_less_real @ SV253 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2514]) ).
thf(2540,plain,
! [SV254: real,SV159: poly_real,SV102: real,SV272: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV272 )
| ~ ( ord_less_real @ SV272 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SV272 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV254 )
= $false )
| ( ( ord_less_real @ SV254 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2516]) ).
thf(2541,plain,
! [SV232: real,SV159: poly_real,SV102: real,SV262: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV262 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV262 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV262 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV232 )
= $false )
| ( ( ord_less_real @ SV232 @ SV102 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2517]) ).
thf(2542,plain,
! [SV255: real,SV159: poly_real,SV102: real,SV273: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV273 )
| ~ ( ord_less_real @ SV273 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SV273 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV255 )
= $false )
| ( ( ord_less_real @ SV255 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2519]) ).
thf(2543,plain,
! [SV256: real,SV159: poly_real,SV102: real,SV274: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV274 )
| ~ ( ord_less_real @ SV274 @ SV102 ) )
| ( ord_less_real @ ( poly_real2 @ SV159 @ SV274 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV256 )
= $false )
| ( ( ord_less_real @ SV256 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2521]) ).
thf(2544,plain,
! [SV233: real,SV159: poly_real,SV102: real,SV263: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV263 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV263 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV263 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV233 )
= $false )
| ( ( ord_less_real @ SV233 @ SV102 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2522]) ).
thf(2545,plain,
! [SV247: real,SV169: poly_real,SV115: real,SV269: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV269 )
| ~ ( ord_less_eq_real @ SV269 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV269 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV247 )
= $false )
| ( ( ord_less_eq_real @ SV247 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2523]) ).
thf(2546,plain,
! [SV248: real,SV169: poly_real,SV115: real,SV270: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV270 )
| ~ ( ord_less_eq_real @ SV270 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV270 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV248 )
= $false )
| ( ( ord_less_eq_real @ SV248 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2524]) ).
thf(2547,plain,
! [SV234: real,SV169: poly_real,SV115: real,SV264: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV264 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV264 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV264 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV234 )
= $false )
| ( ( ord_less_eq_real @ SV234 @ SV115 )
= $false )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2525]) ).
thf(2548,plain,
! [SV257: real,SV169: poly_real,SV115: real,SV275: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV275 )
| ~ ( ord_less_eq_real @ SV275 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SV275 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV257 )
= $false )
| ( ( ord_less_eq_real @ SV257 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2527]) ).
thf(2549,plain,
! [SV258: real,SV169: poly_real,SV115: real,SV276: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV276 )
| ~ ( ord_less_eq_real @ SV276 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SV276 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV258 )
= $false )
| ( ( ord_less_eq_real @ SV258 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2529]) ).
thf(2550,plain,
! [SV235: real,SV169: poly_real,SV115: real,SV265: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV265 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV265 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV265 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV235 )
= $false )
| ( ( ord_less_eq_real @ SV235 @ SV115 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2530]) ).
thf(2551,plain,
! [SV259: real,SV169: poly_real,SV115: real,SV277: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV277 )
| ~ ( ord_less_eq_real @ SV277 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SV277 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV259 )
= $false )
| ( ( ord_less_eq_real @ SV259 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2532]) ).
thf(2552,plain,
! [SV260: real,SV169: poly_real,SV115: real,SV278: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV278 )
| ~ ( ord_less_eq_real @ SV278 @ SV115 ) )
| ( ord_less_real @ ( poly_real2 @ SV169 @ SV278 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV260 )
= $false )
| ( ( ord_less_eq_real @ SV260 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2534]) ).
thf(2553,plain,
! [SV236: real,SV169: poly_real,SV115: real,SV266: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV266 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV266 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV266 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV236 )
= $false )
| ( ( ord_less_eq_real @ SV236 @ SV115 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2535]) ).
thf(2554,plain,
! [SV241: real,SV159: poly_real,SV102: real,SV267: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV267 )
| ~ ( ord_less_real @ SV267 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV267 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV241 )
= $false )
| ( ( ord_less_real @ SV241 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2536]) ).
thf(2555,plain,
! [SV242: real,SV159: poly_real,SV102: real,SV268: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV268 )
| ~ ( ord_less_real @ SV268 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV268 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV242 )
= $false )
| ( ( ord_less_real @ SV242 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2537]) ).
thf(2556,plain,
! [SV231: real,SV159: poly_real,SV102: real,SV261: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV261 )
= $false )
| ( ( ~ ( ord_less_real @ SV261 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV261 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV231 )
= $false )
| ( ( ord_less_real @ SV231 @ SV102 )
= $false )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2538]) ).
thf(2557,plain,
! [SV253: real,SV159: poly_real,SV102: real,SV271: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV271 )
| ~ ( ord_less_real @ SV271 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV271 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV253 )
= $false )
| ( ( ord_less_real @ SV253 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2539]) ).
thf(2558,plain,
! [SV254: real,SV159: poly_real,SV102: real,SV272: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV272 )
| ~ ( ord_less_real @ SV272 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV272 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV254 )
= $false )
| ( ( ord_less_real @ SV254 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2540]) ).
thf(2559,plain,
! [SV232: real,SV159: poly_real,SV102: real,SV262: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV262 )
= $false )
| ( ( ~ ( ord_less_real @ SV262 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV262 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV232 )
= $false )
| ( ( ord_less_real @ SV232 @ SV102 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2541]) ).
thf(2560,plain,
! [SV255: real,SV159: poly_real,SV102: real,SV273: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV273 )
| ~ ( ord_less_real @ SV273 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV273 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV255 )
= $false )
| ( ( ord_less_real @ SV255 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2542]) ).
thf(2561,plain,
! [SV256: real,SV159: poly_real,SV102: real,SV274: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV33 @ SV274 )
| ~ ( ord_less_real @ SV274 @ SV102 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV274 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV256 )
= $false )
| ( ( ord_less_real @ SV256 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2543]) ).
thf(2562,plain,
! [SV233: real,SV159: poly_real,SV102: real,SV263: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV263 )
= $false )
| ( ( ~ ( ord_less_real @ SV263 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV263 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV233 )
= $false )
| ( ( ord_less_real @ SV233 @ SV102 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2544]) ).
thf(2563,plain,
! [SV247: real,SV169: poly_real,SV115: real,SV269: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV269 )
| ~ ( ord_less_eq_real @ SV269 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV269 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV247 )
= $false )
| ( ( ord_less_eq_real @ SV247 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2545]) ).
thf(2564,plain,
! [SV248: real,SV169: poly_real,SV115: real,SV270: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV270 )
| ~ ( ord_less_eq_real @ SV270 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV270 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV248 )
= $false )
| ( ( ord_less_eq_real @ SV248 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2546]) ).
thf(2565,plain,
! [SV234: real,SV169: poly_real,SV115: real,SV264: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV264 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV264 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV264 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV234 )
= $false )
| ( ( ord_less_eq_real @ SV234 @ SV115 )
= $false )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2547]) ).
thf(2566,plain,
! [SV257: real,SV169: poly_real,SV115: real,SV275: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV275 )
| ~ ( ord_less_eq_real @ SV275 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV275 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV257 )
= $false )
| ( ( ord_less_eq_real @ SV257 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2548]) ).
thf(2567,plain,
! [SV258: real,SV169: poly_real,SV115: real,SV276: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV276 )
| ~ ( ord_less_eq_real @ SV276 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV276 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV258 )
= $false )
| ( ( ord_less_eq_real @ SV258 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2549]) ).
thf(2568,plain,
! [SV235: real,SV169: poly_real,SV115: real,SV265: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV265 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV265 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV265 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV235 )
= $false )
| ( ( ord_less_eq_real @ SV235 @ SV115 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2550]) ).
thf(2569,plain,
! [SV259: real,SV169: poly_real,SV115: real,SV277: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV277 )
| ~ ( ord_less_eq_real @ SV277 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV277 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV259 )
= $false )
| ( ( ord_less_eq_real @ SV259 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2551]) ).
thf(2570,plain,
! [SV260: real,SV169: poly_real,SV115: real,SV278: real,SV47: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV47 @ SV278 )
| ~ ( ord_less_eq_real @ SV278 @ SV115 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV278 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV260 )
= $false )
| ( ( ord_less_eq_real @ SV260 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2552]) ).
thf(2571,plain,
! [SV236: real,SV169: poly_real,SV115: real,SV266: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV266 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV266 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV266 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV236 )
= $false )
| ( ( ord_less_eq_real @ SV236 @ SV115 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2553]) ).
thf(2572,plain,
! [SV241: real,SV159: poly_real,SV102: real,SV267: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV267 )
| ~ ( ord_less_real @ SV267 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV267 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV241 )
= $false )
| ( ( ord_less_real @ SV241 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2554]) ).
thf(2573,plain,
! [SV242: real,SV159: poly_real,SV102: real,SV268: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV268 )
| ~ ( ord_less_real @ SV268 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV268 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV242 )
= $false )
| ( ( ord_less_real @ SV242 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2555]) ).
thf(2574,plain,
! [SV231: real,SV159: poly_real,SV33: real,SV102: real,SV261: real] :
( ( ( ord_less_real @ SV261 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV261 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV261 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV231 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV231 )
= $false )
| ( ( ord_less_real @ SV231 @ SV102 )
= $false )
| ( ( ( poly_real2 @ SV159 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2556]) ).
thf(2575,plain,
! [SV253: real,SV159: poly_real,SV102: real,SV271: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV271 )
| ~ ( ord_less_real @ SV271 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV271 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV253 )
= $false )
| ( ( ord_less_real @ SV253 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2557]) ).
thf(2576,plain,
! [SV254: real,SV159: poly_real,SV102: real,SV272: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV272 )
| ~ ( ord_less_real @ SV272 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV272 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV254 )
= $false )
| ( ( ord_less_real @ SV254 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2558]) ).
thf(2577,plain,
! [SV232: real,SV159: poly_real,SV33: real,SV102: real,SV262: real] :
( ( ( ord_less_real @ SV262 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV262 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV262 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV232 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV232 )
= $false )
| ( ( ord_less_real @ SV232 @ SV102 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2559]) ).
thf(2578,plain,
! [SV255: real,SV159: poly_real,SV102: real,SV273: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV273 )
| ~ ( ord_less_real @ SV273 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV273 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV255 )
= $false )
| ( ( ord_less_real @ SV255 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2560]) ).
thf(2579,plain,
! [SV256: real,SV159: poly_real,SV102: real,SV274: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV33 @ SV274 )
| ~ ( ord_less_real @ SV274 @ SV102 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV274 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV256 )
= $false )
| ( ( ord_less_real @ SV256 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2561]) ).
thf(2580,plain,
! [SV233: real,SV159: poly_real,SV33: real,SV102: real,SV263: real] :
( ( ( ord_less_real @ SV263 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV263 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV263 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV233 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV233 )
= $false )
| ( ( ord_less_real @ SV233 @ SV102 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2562]) ).
thf(2581,plain,
! [SV247: real,SV169: poly_real,SV115: real,SV269: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV269 )
| ~ ( ord_less_eq_real @ SV269 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV269 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV247 )
= $false )
| ( ( ord_less_eq_real @ SV247 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2563]) ).
thf(2582,plain,
! [SV248: real,SV169: poly_real,SV115: real,SV270: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV270 )
| ~ ( ord_less_eq_real @ SV270 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV270 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV248 )
= $false )
| ( ( ord_less_eq_real @ SV248 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2564]) ).
thf(2583,plain,
! [SV234: real,SV169: poly_real,SV47: real,SV115: real,SV264: real] :
( ( ( ord_less_eq_real @ SV264 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV264 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV264 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV234 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV234 )
= $false )
| ( ( ord_less_eq_real @ SV234 @ SV115 )
= $false )
| ( ( ( poly_real2 @ SV169 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2565]) ).
thf(2584,plain,
! [SV257: real,SV169: poly_real,SV115: real,SV275: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV275 )
| ~ ( ord_less_eq_real @ SV275 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV275 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV257 )
= $false )
| ( ( ord_less_eq_real @ SV257 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2566]) ).
thf(2585,plain,
! [SV258: real,SV169: poly_real,SV115: real,SV276: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV276 )
| ~ ( ord_less_eq_real @ SV276 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV276 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV258 )
= $false )
| ( ( ord_less_eq_real @ SV258 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2567]) ).
thf(2586,plain,
! [SV235: real,SV169: poly_real,SV47: real,SV115: real,SV265: real] :
( ( ( ord_less_eq_real @ SV265 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV265 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV265 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV235 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV235 )
= $false )
| ( ( ord_less_eq_real @ SV235 @ SV115 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2568]) ).
thf(2587,plain,
! [SV259: real,SV169: poly_real,SV115: real,SV277: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV277 )
| ~ ( ord_less_eq_real @ SV277 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV277 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV259 )
= $false )
| ( ( ord_less_eq_real @ SV259 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2569]) ).
thf(2588,plain,
! [SV260: real,SV169: poly_real,SV115: real,SV278: real,SV47: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV47 @ SV278 )
| ~ ( ord_less_eq_real @ SV278 @ SV115 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV278 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV260 )
= $false )
| ( ( ord_less_eq_real @ SV260 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2570]) ).
thf(2589,plain,
! [SV236: real,SV169: poly_real,SV47: real,SV115: real,SV266: real] :
( ( ( ord_less_eq_real @ SV266 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV266 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV266 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV236 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV236 )
= $false )
| ( ( ord_less_eq_real @ SV236 @ SV115 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2571]) ).
thf(2590,plain,
! [SV241: real,SV159: poly_real,SV102: real,SV267: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV267 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV267 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV267 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV241 )
= $false )
| ( ( ord_less_real @ SV241 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2572]) ).
thf(2591,plain,
! [SV242: real,SV159: poly_real,SV102: real,SV268: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV268 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV268 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV268 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV242 )
= $false )
| ( ( ord_less_real @ SV242 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2573]) ).
thf(2592,plain,
! [SV253: real,SV159: poly_real,SV102: real,SV271: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV271 )
| ~ ( ord_less_real @ SV271 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV271 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV253 )
= $false )
| ( ( ord_less_real @ SV253 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2575]) ).
thf(2593,plain,
! [SV254: real,SV159: poly_real,SV102: real,SV272: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV272 )
| ~ ( ord_less_real @ SV272 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV272 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV254 )
= $false )
| ( ( ord_less_real @ SV254 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2576]) ).
thf(2594,plain,
! [SV255: real,SV159: poly_real,SV102: real,SV273: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV273 )
| ~ ( ord_less_real @ SV273 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV273 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV255 )
= $false )
| ( ( ord_less_real @ SV255 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2578]) ).
thf(2595,plain,
! [SV256: real,SV159: poly_real,SV102: real,SV274: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV274 )
| ~ ( ord_less_real @ SV274 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV274 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV256 )
= $false )
| ( ( ord_less_real @ SV256 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2579]) ).
thf(2596,plain,
! [SV247: real,SV169: poly_real,SV115: real,SV269: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV269 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV269 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV269 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV247 )
= $false )
| ( ( ord_less_eq_real @ SV247 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2581]) ).
thf(2597,plain,
! [SV248: real,SV169: poly_real,SV115: real,SV270: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV270 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV270 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV270 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV248 )
= $false )
| ( ( ord_less_eq_real @ SV248 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2582]) ).
thf(2598,plain,
! [SV257: real,SV169: poly_real,SV115: real,SV275: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV275 )
| ~ ( ord_less_eq_real @ SV275 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV275 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV257 )
= $false )
| ( ( ord_less_eq_real @ SV257 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2584]) ).
thf(2599,plain,
! [SV258: real,SV169: poly_real,SV115: real,SV276: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV276 )
| ~ ( ord_less_eq_real @ SV276 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV276 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV258 )
= $false )
| ( ( ord_less_eq_real @ SV258 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2585]) ).
thf(2600,plain,
! [SV259: real,SV169: poly_real,SV115: real,SV277: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV277 )
| ~ ( ord_less_eq_real @ SV277 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV277 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV259 )
= $false )
| ( ( ord_less_eq_real @ SV259 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2587]) ).
thf(2601,plain,
! [SV260: real,SV169: poly_real,SV115: real,SV278: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV278 )
| ~ ( ord_less_eq_real @ SV278 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV278 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV260 )
= $false )
| ( ( ord_less_eq_real @ SV260 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2588]) ).
thf(2602,plain,
! [SV241: real,SV159: poly_real,SV102: real,SV267: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV267 )
= $false )
| ( ( ~ ( ord_less_real @ SV267 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV267 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV241 )
= $false )
| ( ( ord_less_real @ SV241 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2590]) ).
thf(2603,plain,
! [SV242: real,SV159: poly_real,SV102: real,SV268: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV268 )
= $false )
| ( ( ~ ( ord_less_real @ SV268 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV268 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV242 )
= $false )
| ( ( ord_less_real @ SV242 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2591]) ).
thf(2604,plain,
! [SV253: real,SV159: poly_real,SV102: real,SV271: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV271 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV271 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV271 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV253 )
= $false )
| ( ( ord_less_real @ SV253 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2592]) ).
thf(2605,plain,
! [SV254: real,SV159: poly_real,SV102: real,SV272: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV272 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV272 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV272 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV254 )
= $false )
| ( ( ord_less_real @ SV254 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2593]) ).
thf(2606,plain,
! [SV255: real,SV159: poly_real,SV102: real,SV273: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV273 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV273 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV273 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV255 )
= $false )
| ( ( ord_less_real @ SV255 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2594]) ).
thf(2607,plain,
! [SV256: real,SV159: poly_real,SV102: real,SV274: real,SV33: real] :
( ( ( ~ ( ord_less_eq_real @ SV33 @ SV274 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV274 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV274 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV256 )
= $false )
| ( ( ord_less_real @ SV256 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2595]) ).
thf(2608,plain,
! [SV247: real,SV169: poly_real,SV115: real,SV269: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV269 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV269 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV269 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV247 )
= $false )
| ( ( ord_less_eq_real @ SV247 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2596]) ).
thf(2609,plain,
! [SV248: real,SV169: poly_real,SV115: real,SV270: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV270 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV270 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV270 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV248 )
= $false )
| ( ( ord_less_eq_real @ SV248 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2597]) ).
thf(2610,plain,
! [SV257: real,SV169: poly_real,SV115: real,SV275: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV275 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV275 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV275 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV257 )
= $false )
| ( ( ord_less_eq_real @ SV257 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2598]) ).
thf(2611,plain,
! [SV258: real,SV169: poly_real,SV115: real,SV276: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV276 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV276 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV276 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV258 )
= $false )
| ( ( ord_less_eq_real @ SV258 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2599]) ).
thf(2612,plain,
! [SV259: real,SV169: poly_real,SV115: real,SV277: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV277 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV277 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV277 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV259 )
= $false )
| ( ( ord_less_eq_real @ SV259 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2600]) ).
thf(2613,plain,
! [SV260: real,SV169: poly_real,SV115: real,SV278: real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ SV278 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV278 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV278 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV260 )
= $false )
| ( ( ord_less_eq_real @ SV260 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2601]) ).
thf(2614,plain,
! [SV241: real,SV159: poly_real,SV33: real,SV102: real,SV267: real] :
( ( ( ord_less_real @ SV267 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV267 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV267 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV241 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV241 )
= $false )
| ( ( ord_less_real @ SV241 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2602]) ).
thf(2615,plain,
! [SV242: real,SV159: poly_real,SV33: real,SV102: real,SV268: real] :
( ( ( ord_less_real @ SV268 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV268 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV268 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV242 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV242 )
= $false )
| ( ( ord_less_real @ SV242 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK13_SY569 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2603]) ).
thf(2616,plain,
! [SV253: real,SV159: poly_real,SV102: real,SV271: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV271 )
= $false )
| ( ( ~ ( ord_less_real @ SV271 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV271 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV253 )
= $false )
| ( ( ord_less_real @ SV253 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2604]) ).
thf(2617,plain,
! [SV254: real,SV159: poly_real,SV102: real,SV272: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV272 )
= $false )
| ( ( ~ ( ord_less_real @ SV272 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV272 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV254 )
= $false )
| ( ( ord_less_real @ SV254 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2605]) ).
thf(2618,plain,
! [SV255: real,SV159: poly_real,SV102: real,SV273: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV273 )
= $false )
| ( ( ~ ( ord_less_real @ SV273 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV273 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV255 )
= $false )
| ( ( ord_less_real @ SV255 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2606]) ).
thf(2619,plain,
! [SV256: real,SV159: poly_real,SV102: real,SV274: real,SV33: real] :
( ( ( ord_less_eq_real @ SV33 @ SV274 )
= $false )
| ( ( ~ ( ord_less_real @ SV274 @ SV102 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV274 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV256 )
= $false )
| ( ( ord_less_real @ SV256 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2607]) ).
thf(2620,plain,
! [SV247: real,SV169: poly_real,SV47: real,SV115: real,SV269: real] :
( ( ( ord_less_eq_real @ SV269 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV269 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV269 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV247 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV247 )
= $false )
| ( ( ord_less_eq_real @ SV247 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2608]) ).
thf(2621,plain,
! [SV248: real,SV169: poly_real,SV47: real,SV115: real,SV270: real] :
( ( ( ord_less_eq_real @ SV270 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV270 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV270 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV248 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV248 )
= $false )
| ( ( ord_less_eq_real @ SV248 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY585 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2609]) ).
thf(2622,plain,
! [SV257: real,SV169: poly_real,SV115: real,SV275: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV275 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV275 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV275 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV257 )
= $false )
| ( ( ord_less_eq_real @ SV257 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2610]) ).
thf(2623,plain,
! [SV258: real,SV169: poly_real,SV115: real,SV276: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV276 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV276 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV276 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV258 )
= $false )
| ( ( ord_less_eq_real @ SV258 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2611]) ).
thf(2624,plain,
! [SV259: real,SV169: poly_real,SV115: real,SV277: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV277 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV277 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV277 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV259 )
= $false )
| ( ( ord_less_eq_real @ SV259 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2612]) ).
thf(2625,plain,
! [SV260: real,SV169: poly_real,SV115: real,SV278: real,SV47: real] :
( ( ( ord_less_real @ SV47 @ SV278 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV278 @ SV115 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV278 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV260 )
= $false )
| ( ( ord_less_eq_real @ SV260 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2613]) ).
thf(2626,plain,
! [SV253: real,SV159: poly_real,SV33: real,SV102: real,SV271: real] :
( ( ( ord_less_real @ SV271 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV271 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV271 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV253 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV253 )
= $false )
| ( ( ord_less_real @ SV253 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2616]) ).
thf(2627,plain,
! [SV254: real,SV159: poly_real,SV33: real,SV102: real,SV272: real] :
( ( ( ord_less_real @ SV272 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV272 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV272 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV254 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV254 )
= $false )
| ( ( ord_less_real @ SV254 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK16_SY570 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2617]) ).
thf(2628,plain,
! [SV255: real,SV159: poly_real,SV33: real,SV102: real,SV273: real] :
( ( ( ord_less_real @ SV273 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV273 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV273 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV255 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV255 )
= $false )
| ( ( ord_less_real @ SV255 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2618]) ).
thf(2629,plain,
! [SV256: real,SV159: poly_real,SV33: real,SV102: real,SV274: real] :
( ( ( ord_less_real @ SV274 @ SV102 )
= $false )
| ( ( ord_less_eq_real @ SV33 @ SV274 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV159 @ SV274 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV159 @ SV256 ) )
= $true )
| ( ( ord_less_eq_real @ SV33 @ SV256 )
= $false )
| ( ( ord_less_real @ SV256 @ SV102 )
= $false )
| ( ( ord_less_real @ ( sK17_SY571 @ SV159 @ SV102 @ SV33 ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2619]) ).
thf(2630,plain,
! [SV257: real,SV169: poly_real,SV47: real,SV115: real,SV275: real] :
( ( ( ord_less_eq_real @ SV275 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV275 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV275 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV257 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV257 )
= $false )
| ( ( ord_less_eq_real @ SV257 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2622]) ).
thf(2631,plain,
! [SV258: real,SV169: poly_real,SV47: real,SV115: real,SV276: real] :
( ( ( ord_less_eq_real @ SV276 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV276 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV276 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV258 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV258 )
= $false )
| ( ( ord_less_eq_real @ SV258 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK18_SY586 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2623]) ).
thf(2632,plain,
! [SV259: real,SV169: poly_real,SV47: real,SV115: real,SV277: real] :
( ( ( ord_less_eq_real @ SV277 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV277 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV277 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV259 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV259 )
= $false )
| ( ( ord_less_eq_real @ SV259 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2624]) ).
thf(2633,plain,
! [SV260: real,SV169: poly_real,SV47: real,SV115: real,SV278: real] :
( ( ( ord_less_eq_real @ SV278 @ SV115 )
= $false )
| ( ( ord_less_real @ SV47 @ SV278 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV169 @ SV278 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV169 @ SV260 ) )
= $true )
| ( ( ord_less_real @ SV47 @ SV260 )
= $false )
| ( ( ord_less_eq_real @ SV260 @ SV115 )
= $false )
| ( ( ord_less_eq_real @ ( sK19_SY587 @ SV169 @ SV115 @ SV47 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2625]) ).
thf(2634,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[448,2633,2632,2631,2630,2629,2628,2627,2626,2621,2620,2615,2614,2589,2586,2583,2580,2577,2574,2533,2531,2528,2526,2520,2518,2515,2513,2497,2495,2482,2480,2418,2412,2406,2400,2394,2388,2365,2346,2326,2306,2305,2304,2303,2282,2281,2260,2259,2258,2254,2253,2252,2210,2184,2163,2162,2161,2160,2159,2158,2157,2156,2155,2154,2153,2152,2151,2150,2149,2148,2147,2146,2145,2144,2143,2142,2141,2140,2139,2138,2137,2136,2135,2134,2133,2132,2131,2130,2129,2128,2127,2126,2125,2124,2123,2122,2121,2120,2119,2118,2117,2116,2115,2111,2109,2108,2089,2088,2070,2021,2019,2018,2017,2016,2013,2010,2007,2005,2003,2002,2001,1986,1985,1984,1981,1980,1967,1966,1965,1962,1961,1936,1933,1931,1929,1927,1923,1920,1917,1914,1913,1909,1908,1907,1905,1888,1886,1883,1881,1867,1866,1864,1862,1857,1831,1830,1829,1828,1827,1815,1810,1776,1754,1752,1751,1749,1747,1746,1745,1744,1743,1742,1724,1722,1708,1693,1692,1691,1690,1689,1688,1683,1664,1663,1662,1661,1660,1659,1658,1652,1650,1648,1647,1646,1645,1643,1630,1629,1622,1617,1580,1579,1578,1577,1576,1574,1572,1570,1568,1567,1566,1565,1564,1562,1560,1558,1556,1555,1554,1553,1552,1550,1548,1546,1525,1524,1522,1518,1515,1500,1495,1420,1415,1414,1409,1400,1399,1394,1379,1336,1335,1334,1333,1332,1331,1330,1329,1328,1327,1326,1325,1324,1323,1322,1321,1320,1319,1318,1317,1316,1315,1314,1313,1312,1311,1310,1309,1306,1305,1304,1303,1295,1294,1293,1292,1291,1277,1262,1257,1255,1254,1253,1247,1236,1151,1133,1129,1085,1084,1077,1075,1072,1071,1069,1067,1063,1058,1046,1043,1039,1035,1034,1032,1030,1026,1016,999,959,956,953,951,935,921,918,915,910,901,899,867,850,846,844,833,827,817,815,805,800,752,725,724,722,720,718,716,714,712,710,706,702,700,657,639,634,627,614,607,605,481,480,472]) ).
thf(2635,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[2634]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP194^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.21 % Computer : n015.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Oct 6 11:22:58 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.75/7.82 ..
% 37.75/7.82
% 37.75/7.82 No.of.Axioms: 91
% 37.75/7.82
% 37.75/7.82 Length.of.Defs: 0
% 37.75/7.82
% 37.75/7.82 Contains.Choice.Funs: false
% 37.75/7.82 ..............................................................
% 37.75/7.82
% 37.75/7.82 ********************************
% 37.75/7.82 * All subproblems solved! *
% 37.75/7.82 ********************************
% 37.75/7.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:91,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:2634,loop_count:0,foatp_calls:1,translation:fof_full)
% 37.75/7.82
% 37.75/7.82 %**** Beginning of derivation protocol ****
% 37.75/7.82 % SZS output start CNFRefutation
% See solution above
% 37.75/7.85
% 37.75/7.85 %**** End of derivation protocol ****
% 37.75/7.85 %**** no. of clauses in derivation: 2376 ****
% 37.75/7.85 %**** clause counter: 2634 ****
% 37.75/7.85
% 37.75/7.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:91,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:2634,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------