%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP195^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 8.87s 1.69s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 66
% Syntax : Number of formulae : 1647 ( 409 unt; 0 typ; 0 def)
% Number of atoms : 16203 (5676 equ; 0 cnn)
% Maximal formula atoms : 7 ( 9 avg)
% Number of connectives : 33024 (6276 ~;5628 |; 47 &;20757 @)
% ( 0 <=>; 316 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 12 ( 11 usr)
% Number of type conns : 296 ( 296 >; 0 *; 0 +; 0 <<)
% Number of symbols : 121 ( 118 usr; 15 con; 0-4 aty)
% Number of variables : 5843 ( 16 ^;5797 !; 30 ?;5843 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_int,type,
int: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_poly_int,type,
poly_int: $tType ).
thf(tp_poly_nat,type,
poly_nat: $tType ).
thf(tp_poly_poly_int,type,
poly_poly_int: $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_is_zero_int,type,
is_zero_int: poly_int > $o ).
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_member_real,type,
member_real: real > set_real > $o ).
thf(tp_one_one_nat,type,
one_one_nat: nat ).
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_int,type,
ord_less_eq_int: int > int > $o ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_ord_less_eq_poly_int,type,
ord_less_eq_poly_int: poly_int > poly_int > $o ).
thf(tp_ord_less_eq_real,type,
ord_less_eq_real: real > real > $o ).
thf(tp_ord_less_int,type,
ord_less_int: int > int > $o ).
thf(tp_ord_less_nat,type,
ord_less_nat: nat > nat > $o ).
thf(tp_ord_less_poly_int,type,
ord_less_poly_int: poly_int > poly_int > $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_order_int,type,
order_int: int > poly_int > nat ).
thf(tp_order_poly_int,type,
order_poly_int: poly_int > poly_poly_int > nat ).
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_pderiv_int,type,
pderiv_int: poly_int > poly_int ).
thf(tp_pderiv_nat,type,
pderiv_nat: poly_nat > poly_nat ).
thf(tp_pderiv_poly_real,type,
pderiv_poly_real: poly_poly_real > poly_poly_real ).
thf(tp_pderiv_real,type,
pderiv_real: poly_real > poly_real ).
thf(tp_poly_c1404107022y_real,type,
poly_c1404107022y_real: nat > poly_poly_real > poly_poly_real ).
thf(tp_poly_cutoff_int,type,
poly_cutoff_int: nat > poly_int > poly_int ).
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_int2,type,
poly_int2: poly_int > int > int ).
thf(tp_poly_nat2,type,
poly_nat2: poly_nat > nat > nat ).
thf(tp_poly_poly_int2,type,
poly_poly_int2: poly_poly_int > poly_int > poly_int ).
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_int,type,
poly_shift_int: nat > poly_int > poly_int ).
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_reflec943087998ly_int,type,
reflec943087998ly_int: poly_poly_int > poly_poly_int ).
thf(tp_reflect_poly_int,type,
reflect_poly_int: poly_int > poly_int ).
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_rsquarefree_real,type,
rsquarefree_real: poly_real > $o ).
thf(tp_sK10_SY473,type,
sK10_SY473: ( real > real > $o ) > real > real > real ).
thf(tp_sK11_SY365,type,
sK11_SY365: poly_real > real ).
thf(tp_sK12_SV146,type,
sK12_SV146: poly_real > poly_real > real ).
thf(tp_sK13_SY351,type,
sK13_SY351: real > real > real ).
thf(tp_sK14_SY427,type,
sK14_SY427: poly_real > real > real > real ).
thf(tp_sK15_SY444,type,
sK15_SY444: poly_real > real > real > real ).
thf(tp_sK16_SY428,type,
sK16_SY428: poly_real > real > real > real ).
thf(tp_sK17_SY429,type,
sK17_SY429: poly_real > real > real > real ).
thf(tp_sK18_SY445,type,
sK18_SY445: poly_real > real > real > real ).
thf(tp_sK19_SY446,type,
sK19_SY446: poly_real > real > real > real ).
thf(tp_sK1_SY230,type,
sK1_SY230: real > real ).
thf(tp_sK20_SY397,type,
sK20_SY397: nat > real > nat > ( nat > real ) > nat ).
thf(tp_sK21_SY205,type,
sK21_SY205: real > real > ( real > real > $o ) > real ).
thf(tp_sK22_SY405,type,
sK22_SY405: real > nat > real > ( real > nat ) > real ).
thf(tp_sK23_SY337,type,
sK23_SY337: nat > nat > real > ( nat > real ) > nat ).
thf(tp_sK24_SY341,type,
sK24_SY341: real > real > nat > ( real > nat ) > real ).
thf(tp_sK25_SY414,type,
sK25_SY414: real > real > real > ( real > real ) > real ).
thf(tp_sK26_SY417,type,
sK26_SY417: real > real > real > ( real > real ) > real ).
thf(tp_sK27_SY422,type,
sK27_SY422: real > nat > real > ( real > nat ) > real ).
thf(tp_sK28_SY425,type,
sK28_SY425: nat > real > nat > ( nat > real ) > nat ).
thf(tp_sK29_SY368,type,
sK29_SY368: nat > nat > real > ( nat > real ) > nat ).
thf(tp_sK2_SY238,type,
sK2_SY238: real > real ).
thf(tp_sK30_SY372,type,
sK30_SY372: real > real > nat > ( real > nat ) > real ).
thf(tp_sK31_SY436,type,
sK31_SY436: poly_real > real > real > real ).
thf(tp_sK32_SY437,type,
sK32_SY437: poly_real > real > real > real ).
thf(tp_sK33_SY385,type,
sK33_SY385: real > real > real > ( real > real ) > real ).
thf(tp_sK34_SY389,type,
sK34_SY389: real > real > real > ( real > real ) > real ).
thf(tp_sK35_SY474,type,
sK35_SY474: ( nat > real ) > nat > real > nat > nat ).
thf(tp_sK36_SY205,type,
sK36_SY205: real > real > ( real > real > $o ) > real ).
thf(tp_sK37_SY475,type,
sK37_SY475: ( real > nat ) > real > nat > real > real ).
thf(tp_sK38_SY476,type,
sK38_SY476: ( nat > real ) > real > nat > nat > nat ).
thf(tp_sK39_SY477,type,
sK39_SY477: ( real > nat ) > nat > real > real > real ).
thf(tp_sK3_SY245,type,
sK3_SY245: real > real ).
thf(tp_sK40_SY478,type,
sK40_SY478: ( real > real ) > real > real > real > real ).
thf(tp_sK41_SY479,type,
sK41_SY479: ( real > real ) > real > real > real > real ).
thf(tp_sK42_SY480,type,
sK42_SY480: ( real > nat ) > real > nat > real > real ).
thf(tp_sK43_SY481,type,
sK43_SY481: ( nat > real ) > nat > real > nat > nat ).
thf(tp_sK44_SY482,type,
sK44_SY482: ( nat > real ) > real > nat > nat > nat ).
thf(tp_sK45_SY483,type,
sK45_SY483: ( real > nat ) > nat > real > real > real ).
thf(tp_sK46_SY484,type,
sK46_SY484: ( real > real ) > real > real > real > real ).
thf(tp_sK47_SY485,type,
sK47_SY485: ( real > real ) > real > real > real > real ).
thf(tp_sK48_SY206,type,
sK48_SY206: real > real > ( real > real > $o ) > real ).
thf(tp_sK49_SY206,type,
sK49_SY206: real > real > ( real > real > $o ) > real ).
thf(tp_sK4_SY312,type,
sK4_SY312: real > real ).
thf(tp_sK50_SY486,type,
sK50_SY486: real > real > ( real > real > $o ) > real ).
thf(tp_sK51_SY487,type,
sK51_SY487: real > real > ( real > real > $o ) > real ).
thf(tp_sK5_SY314,type,
sK5_SY314: real > real ).
thf(tp_sK6_SY317,type,
sK6_SY317: real > real ).
thf(tp_sK7_SY189,type,
sK7_SY189: poly_real > real ).
thf(tp_sK8_SY203,type,
sK8_SY203: real > real > ( real > real > $o ) > real ).
thf(tp_sK9_SY377,type,
sK9_SY377: real > real > real ).
thf(tp_sturm_1279781401iation,type,
sturm_1279781401iation: real > real > int ).
thf(tp_sturm_1953858694_cross,type,
sturm_1953858694_cross: poly_real > real > real > int ).
thf(tp_sturm_469514713_r_pos,type,
sturm_469514713_r_pos: poly_real > real > $o ).
thf(tp_suc,type,
suc: nat > nat ).
thf(tp_x,type,
x: real ).
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_z1549157189ly_int,type,
zero_z1549157189ly_int: poly_poly_int ).
thf(tp_zero_z935034829y_real,type,
zero_z935034829y_real: poly_poly_poly_real ).
thf(tp_zero_zero_int,type,
zero_zero_int: int ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(tp_zero_zero_poly_int,type,
zero_zero_poly_int: poly_int ).
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(38,axiom,
! [A: real] :
~ ( ord_less_real @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_307_verit__comp__simplify1_I1_J) ).
thf(40,axiom,
! [A: real,F: nat > real,B: nat,C: nat] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X2: nat,Y: nat] :
( ( ord_less_nat @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_305_ord__eq__less__subst) ).
thf(41,axiom,
! [A: nat,F: real > nat,B: real,C: real] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_nat @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_304_ord__eq__less__subst) ).
thf(42,axiom,
! [A: real,F: real > real,B: real,C: real] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_303_ord__eq__less__subst) ).
thf(44,axiom,
! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_nat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X2: nat,Y: nat] :
( ( ord_less_nat @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_301_ord__less__eq__subst) ).
thf(45,axiom,
! [A: real,B: real,F: real > nat,C: nat] :
( ( ord_less_real @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_nat @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_nat @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_300_ord__less__eq__subst) ).
thf(46,axiom,
! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_299_ord__less__eq__subst) ).
thf(48,axiom,
! [A: nat,F: real > nat,B: real,C: real] :
( ( ord_less_nat @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_nat @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_297_order__less__subst1) ).
thf(49,axiom,
! [A: real,F: nat > real,B: nat,C: nat] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X2: nat,Y: nat] :
( ( ord_less_nat @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_296_order__less__subst1) ).
thf(50,axiom,
! [A: real,F: real > real,B: real,C: real] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_order__less__subst1) ).
thf(52,axiom,
! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_nat @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X2: nat,Y: nat] :
( ( ord_less_nat @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_293_order__less__subst2) ).
thf(53,axiom,
! [A: real,B: real,F: real > nat,C: nat] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_nat @ ( F @ B ) @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_nat @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_nat @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_292_order__less__subst2) ).
thf(54,axiom,
! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_291_order__less__subst2) ).
thf(55,axiom,
! [X: real] :
? [Y: real] : ( ord_less_real @ Y @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_290_lt__ex) ).
thf(57,axiom,
! [X: real] :
? [X_1: real] : ( ord_less_real @ X @ X_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_gt__ex) ).
thf(59,axiom,
! [X: real,Y3: real] :
( ( X != Y3 )
=> ( ~ ( ord_less_real @ X @ Y3 )
=> ( ord_less_real @ Y3 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_286_neqE) ).
thf(61,axiom,
! [X: real,Y3: real] :
( ( X != Y3 )
= ( ( ord_less_real @ X @ Y3 )
| ( ord_less_real @ Y3 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_284_neq__iff) ).
thf(63,axiom,
! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_282_order_Oasym) ).
thf(64,axiom,
! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ? [Z3: real] :
( ( ord_less_real @ X @ Z3 )
& ( ord_less_real @ Z3 @ Y3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_281_dense) ).
thf(66,axiom,
! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ( X != Y3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_279_less__imp__neq) ).
thf(68,axiom,
! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ~ ( ord_less_real @ Y3 @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_277_less__asym) ).
thf(70,axiom,
! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_275_less__asym_H) ).
thf(72,axiom,
! [X: real,Y3: real,Z5: real] :
( ( ord_less_real @ X @ Y3 )
=> ( ( ord_less_real @ Y3 @ Z5 )
=> ( ord_less_real @ X @ Z5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_273_less__trans) ).
thf(74,axiom,
! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
| ( X = Y3 )
| ( ord_less_real @ Y3 @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_271_less__linear) ).
thf(76,axiom,
! [X: real] :
~ ( ord_less_real @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_269_less__irrefl) ).
thf(78,axiom,
! [A: real,B: real,C: real] :
( ( A = B )
=> ( ( ord_less_real @ B @ C )
=> ( ord_less_real @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_267_ord__eq__less__trans) ).
thf(80,axiom,
! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( B = C )
=> ( ord_less_real @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_265_ord__less__eq__trans) ).
thf(82,axiom,
! [B: real,A: real] :
( ( ord_less_real @ B @ A )
=> ~ ( ord_less_real @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_263_dual__order_Oasym) ).
thf(84,axiom,
! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ( X != Y3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_less__imp__not__eq) ).
thf(86,axiom,
! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ~ ( ord_less_real @ Y3 @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_259_less__not__sym) ).
thf(89,axiom,
! [Y3: real,X: real] :
( ~ ( ord_less_real @ Y3 @ X )
=> ( ( ~ ( ord_less_real @ X @ Y3 ) )
= ( X = Y3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_256_antisym__conv3) ).
thf(91,axiom,
! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ( Y3 != X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_254_less__imp__not__eq2) ).
thf(93,axiom,
! [X: real,Y3: real,P3: $o] :
( ( ord_less_real @ X @ Y3 )
=> ( ( ord_less_real @ Y3 @ X )
=> P3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_252_less__imp__triv) ).
thf(95,axiom,
! [X: real,Y3: real] :
( ~ ( ord_less_real @ X @ Y3 )
=> ( ( X != Y3 )
=> ( ord_less_real @ Y3 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_250_linorder__cases) ).
thf(97,axiom,
! [A: real] :
~ ( ord_less_real @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_248_dual__order_Oirrefl) ).
thf(99,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/sandbox/benchmark/theBenchmark.p',fact_246_order_Ostrict__trans) ).
thf(101,axiom,
! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ~ ( ord_less_real @ Y3 @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_less__imp__not__less) ).
thf(104,axiom,
! [P3: real > real > $o,A: real,B: real] :
( ! [A5: real,B4: real] :
( ( ord_less_real @ A5 @ B4 )
=> ( P3 @ A5 @ B4 ) )
=> ( ! [A5: real] : ( P3 @ A5 @ A5 )
=> ( ! [A5: real,B4: real] :
( ( P3 @ B4 @ A5 )
=> ( P3 @ A5 @ B4 ) )
=> ( P3 @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_241_linorder__less__wlog) ).
thf(106,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/sandbox/benchmark/theBenchmark.p',fact_239_dual__order_Ostrict__trans) ).
thf(108,axiom,
! [X: real,Y3: real] :
( ( ~ ( ord_less_real @ X @ Y3 ) )
= ( ( ord_less_real @ Y3 @ X )
| ( X = Y3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_237_not__less__iff__gr__or__eq) ).
thf(110,axiom,
! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_235_order_Ostrict__implies__not__eq) ).
thf(112,axiom,
! [B: real,A: real] :
( ( ord_less_real @ B @ A )
=> ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_233_dual__order_Ostrict__implies__not__eq) ).
thf(231,axiom,
! [B2: real,A4: real] :
( ( ~ ( ord_less_eq_real @ B2 @ A4 ) )
= ( ord_less_real @ A4 @ B2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_verit__comp__simplify1_I3_J) ).
thf(234,axiom,
! [T: real] :
? [Z3: real] :
! [X4: real] :
( ( ord_less_real @ Z3 @ X4 )
=> ~ ( ord_less_eq_real @ X4 @ T ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_pinf_I6_J) ).
thf(237,axiom,
! [T: real] :
? [Z3: real] :
! [X4: real] :
( ( ord_less_real @ Z3 @ X4 )
=> ( ord_less_eq_real @ T @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_pinf_I8_J) ).
thf(242,axiom,
! [T: real] :
? [Z3: real] :
! [X4: real] :
( ( ord_less_real @ X4 @ Z3 )
=> ( ord_less_eq_real @ X4 @ T ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_minf_I6_J) ).
thf(245,axiom,
! [T: real] :
? [Z3: real] :
! [X4: real] :
( ( ord_less_real @ X4 @ Z3 )
=> ~ ( ord_less_eq_real @ T @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_minf_I8_J) ).
thf(252,axiom,
! [Lb: real,Ub2: real,P: poly_real] :
( ( ! [Z2: real] :
( ( ( ord_less_eq_real @ Lb @ Z2 )
& ( ord_less_real @ Z2 @ Ub2 ) )
=> ( ( poly_real2 @ P @ Z2 )
!= zero_zero_real ) ) )
= ( ! [Z2: real] :
( ( ( ord_less_eq_real @ Lb @ Z2 )
& ( ord_less_real @ Z2 @ Ub2 ) )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ Z2 ) ) )
| ! [Z2: real] :
( ( ( ord_less_eq_real @ Lb @ Z2 )
& ( ord_less_real @ Z2 @ Ub2 ) )
=> ( ord_less_real @ ( poly_real2 @ P @ Z2 ) @ zero_zero_real ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_not__eq__pos__or__neg__iff__2) ).
thf(253,axiom,
! [Lb: real,Ub2: real,P: poly_real] :
( ( ! [Z2: real] :
( ( ( ord_less_real @ Lb @ Z2 )
& ( ord_less_eq_real @ Z2 @ Ub2 ) )
=> ( ( poly_real2 @ P @ Z2 )
!= zero_zero_real ) ) )
= ( ! [Z2: real] :
( ( ( ord_less_real @ Lb @ Z2 )
& ( ord_less_eq_real @ Z2 @ Ub2 ) )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ Z2 ) ) )
| ! [Z2: real] :
( ( ( ord_less_real @ Lb @ Z2 )
& ( ord_less_eq_real @ Z2 @ Ub2 ) )
=> ( ord_less_real @ ( poly_real2 @ P @ Z2 ) @ zero_zero_real ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_not__eq__pos__or__neg__iff__1) ).
thf(259,axiom,
( ord_less_eq_real
= ( ^ [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
| ( X3 = Y2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_less__eq__real__def) ).
thf(263,axiom,
ord_less_eq_real @ zero_zero_real @ zero_zero_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_le__numeral__extra_I3_J) ).
thf(300,axiom,
( rsquarefree_real
= ( ^ [P2: poly_real] :
! [A2: real] :
~ ( ( ( poly_real2 @ P2 @ A2 )
= zero_zero_real )
& ( ( poly_real2 @ ( pderiv_real @ P2 ) @ A2 )
= zero_zero_real ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_rsquarefree__roots) ).
thf(304,axiom,
! [P: poly_real,Q: poly_real] :
( ( ( poly_real2 @ P )
= ( poly_real2 @ Q ) )
= ( P = Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_poly__eq__poly__eq__iff) ).
thf(311,axiom,
! [X: real] :
( ( zero_zero_real = X )
= ( X = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_zero__reorient) ).
thf(315,axiom,
( ( pderiv_real @ zero_zero_poly_real )
= zero_zero_poly_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_pderiv__0) ).
thf(320,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/sandbox/benchmark/theBenchmark.p',fact_25_field__lbound__gt__zero) ).
thf(322,axiom,
~ ( ord_less_real @ zero_zero_real @ zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_less__numeral__extra_I3_J) ).
thf(329,axiom,
! [P: poly_real] :
( ( ! [X3: real] :
( ( poly_real2 @ P @ X3 )
= zero_zero_real ) )
= ( P = zero_zero_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_poly__all__0__iff__0) ).
thf(332,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 ) )
=> ? [X2: real] :
( ( ord_less_real @ A @ X2 )
& ( ord_less_real @ X2 @ B )
& ( ( poly_real2 @ P @ X2 )
= zero_zero_real ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_poly__IVT__pos) ).
thf(333,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 )
=> ? [X2: real] :
( ( ord_less_real @ A @ X2 )
& ( ord_less_real @ X2 @ B )
& ( ( poly_real2 @ P @ X2 )
= zero_zero_real ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_poly__IVT__neg) ).
thf(335,axiom,
! [X: real] :
( ( poly_real2 @ zero_zero_poly_real @ X )
= zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_poly__0) ).
thf(342,axiom,
p != zero_zero_poly_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_assms) ).
thf(343,axiom,
( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
=> ( sturm_469514713_r_pos @ p @ x ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__092_060open_0620_A_060_Apoly_Ap_Ax_A_092_060Longrightarrow_062_Asign__r__pos_Ap_Ax_092_060close_062) ).
thf(344,axiom,
( ( sturm_469514713_r_pos @ p @ x )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062sign__r__pos_Ap_Ax_A_092_060Longrightarrow_062_A0_A_060_Apoly_Ap_Ax_092_060close_062) ).
thf(345,axiom,
( ( poly_real2 @ p @ x )
!= zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_False) ).
thf(346,conjecture,
( ( sturm_469514713_r_pos @ p @ x )
!= ( ~ ( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
=> ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
& ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(347,negated_conjecture,
( ( ( sturm_469514713_r_pos @ p @ x )
!= ( ~ ( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
=> ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
& ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[346]) ).
thf(348,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
!= ( ~ ( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
=> ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
& ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[347]) ).
thf(349,plain,
( ( ! [A: real] :
~ ( ord_less_real @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(350,plain,
( ( ! [A: real,F: nat > real,B: nat,C: nat] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X2: nat,Y: nat] :
( ( ord_less_nat @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(351,plain,
( ( ! [A: nat,F: real > nat,B: real,C: real] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_nat @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(352,plain,
( ( ! [A: real,F: real > real,B: real,C: real] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(353,plain,
( ( ! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_nat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X2: nat,Y: nat] :
( ( ord_less_nat @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(354,plain,
( ( ! [A: real,B: real,F: real > nat,C: nat] :
( ( ord_less_real @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_nat @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(355,plain,
( ( ! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(356,plain,
( ( ! [A: nat,F: real > nat,B: real,C: real] :
( ( ord_less_nat @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_nat @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(357,plain,
( ( ! [A: real,F: nat > real,B: nat,C: nat] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X2: nat,Y: nat] :
( ( ord_less_nat @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(358,plain,
( ( ! [A: real,F: real > real,B: real,C: real] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(359,plain,
( ( ! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_nat @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X2: nat,Y: nat] :
( ( ord_less_nat @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(360,plain,
( ( ! [A: real,B: real,F: real > nat,C: nat] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_nat @ ( F @ B ) @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_nat @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(361,plain,
( ( ! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(362,plain,
( ( ! [X: real] :
? [Y: real] : ( ord_less_real @ Y @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(363,plain,
( ( ! [X: real] :
? [X_1: real] : ( ord_less_real @ X @ X_1 ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(364,plain,
( ( ! [X: real,Y3: real] :
( ( X != Y3 )
=> ( ~ ( ord_less_real @ X @ Y3 )
=> ( ord_less_real @ Y3 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(365,plain,
( ( ! [X: real,Y3: real] :
( ( X != Y3 )
= ( ( ord_less_real @ X @ Y3 )
| ( ord_less_real @ Y3 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(366,plain,
( ( ! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(367,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ? [Z3: real] :
( ( ord_less_real @ X @ Z3 )
& ( ord_less_real @ Z3 @ Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(368,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ( X != Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(369,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ~ ( ord_less_real @ Y3 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(370,plain,
( ( ! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(371,plain,
( ( ! [X: real,Y3: real,Z5: real] :
( ( ord_less_real @ X @ Y3 )
=> ( ( ord_less_real @ Y3 @ Z5 )
=> ( ord_less_real @ X @ Z5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(372,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
| ( X = Y3 )
| ( ord_less_real @ Y3 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(373,plain,
( ( ! [X: real] :
~ ( ord_less_real @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(374,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)],[78]) ).
thf(375,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)],[80]) ).
thf(376,plain,
( ( ! [B: real,A: real] :
( ( ord_less_real @ B @ A )
=> ~ ( ord_less_real @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(377,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ( X != Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(378,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ~ ( ord_less_real @ Y3 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(379,plain,
( ( ! [Y3: real,X: real] :
( ~ ( ord_less_real @ Y3 @ X )
=> ( ( ~ ( ord_less_real @ X @ Y3 ) )
= ( X = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(380,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ( Y3 != X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(381,plain,
( ( ! [X: real,Y3: real,P3: $o] :
( ( ord_less_real @ X @ Y3 )
=> ( ( ord_less_real @ Y3 @ X )
=> P3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(382,plain,
( ( ! [X: real,Y3: real] :
( ~ ( ord_less_real @ X @ Y3 )
=> ( ( X != Y3 )
=> ( ord_less_real @ Y3 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(383,plain,
( ( ! [A: real] :
~ ( ord_less_real @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(384,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)],[99]) ).
thf(385,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ~ ( ord_less_real @ Y3 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(386,plain,
( ( ! [P3: real > real > $o,A: real,B: real] :
( ! [A5: real,B4: real] :
( ( ord_less_real @ A5 @ B4 )
=> ( P3 @ A5 @ B4 ) )
=> ( ! [A5: real] : ( P3 @ A5 @ A5 )
=> ( ! [A5: real,B4: real] :
( ( P3 @ B4 @ A5 )
=> ( P3 @ A5 @ B4 ) )
=> ( P3 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(387,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)],[106]) ).
thf(388,plain,
( ( ! [X: real,Y3: real] :
( ( ~ ( ord_less_real @ X @ Y3 ) )
= ( ( ord_less_real @ Y3 @ X )
| ( X = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(389,plain,
( ( ! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ( A != B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(390,plain,
( ( ! [B: real,A: real] :
( ( ord_less_real @ B @ A )
=> ( A != B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(391,plain,
( ( ! [B2: real,A4: real] :
( ( ~ ( ord_less_eq_real @ B2 @ A4 ) )
= ( ord_less_real @ A4 @ B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(392,plain,
( ( ! [T: real] :
? [Z3: real] :
! [X4: real] :
( ( ord_less_real @ Z3 @ X4 )
=> ~ ( ord_less_eq_real @ X4 @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(393,plain,
( ( ! [T: real] :
? [Z3: real] :
! [X4: real] :
( ( ord_less_real @ Z3 @ X4 )
=> ( ord_less_eq_real @ T @ X4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(394,plain,
( ( ! [T: real] :
? [Z3: real] :
! [X4: real] :
( ( ord_less_real @ X4 @ Z3 )
=> ( ord_less_eq_real @ X4 @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(395,plain,
( ( ! [T: real] :
? [Z3: real] :
! [X4: real] :
( ( ord_less_real @ X4 @ Z3 )
=> ~ ( ord_less_eq_real @ T @ X4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(396,plain,
( ( ! [Lb: real,Ub2: real,P: poly_real] :
( ( ! [Z2: real] :
( ( ( ord_less_eq_real @ Lb @ Z2 )
& ( ord_less_real @ Z2 @ Ub2 ) )
=> ( ( poly_real2 @ P @ Z2 )
!= zero_zero_real ) ) )
= ( ! [Z2: real] :
( ( ( ord_less_eq_real @ Lb @ Z2 )
& ( ord_less_real @ Z2 @ Ub2 ) )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ Z2 ) ) )
| ! [Z2: real] :
( ( ( ord_less_eq_real @ Lb @ Z2 )
& ( ord_less_real @ Z2 @ Ub2 ) )
=> ( ord_less_real @ ( poly_real2 @ P @ Z2 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(397,plain,
( ( ! [Lb: real,Ub2: real,P: poly_real] :
( ( ! [Z2: real] :
( ( ( ord_less_real @ Lb @ Z2 )
& ( ord_less_eq_real @ Z2 @ Ub2 ) )
=> ( ( poly_real2 @ P @ Z2 )
!= zero_zero_real ) ) )
= ( ! [Z2: real] :
( ( ( ord_less_real @ Lb @ Z2 )
& ( ord_less_eq_real @ Z2 @ Ub2 ) )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ Z2 ) ) )
| ! [Z2: real] :
( ( ( ord_less_real @ Lb @ Z2 )
& ( ord_less_eq_real @ Z2 @ Ub2 ) )
=> ( ord_less_real @ ( poly_real2 @ P @ Z2 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(398,plain,
( ( ord_less_eq_real
= ( ^ [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
| ( X3 = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(399,plain,
( ( ord_less_eq_real @ zero_zero_real @ zero_zero_real )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(400,plain,
( ( rsquarefree_real
= ( ^ [P2: poly_real] :
! [A2: real] :
~ ( ( ( poly_real2 @ P2 @ A2 )
= zero_zero_real )
& ( ( poly_real2 @ ( pderiv_real @ P2 ) @ A2 )
= zero_zero_real ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(401,plain,
( ( ! [P: poly_real,Q: poly_real] :
( ( ( poly_real2 @ P )
= ( poly_real2 @ Q ) )
= ( P = Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(402,plain,
( ( ! [X: real] :
( ( zero_zero_real = X )
= ( X = zero_zero_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(403,plain,
( ( ( pderiv_real @ zero_zero_poly_real )
= zero_zero_poly_real )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(404,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)],[320]) ).
thf(405,plain,
( ( ~ ( ord_less_real @ zero_zero_real @ zero_zero_real ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(406,plain,
( ( ! [P: poly_real] :
( ( ! [X3: real] :
( ( poly_real2 @ P @ X3 )
= zero_zero_real ) )
= ( P = zero_zero_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(407,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 ) )
=> ? [X2: real] :
( ( ord_less_real @ A @ X2 )
& ( ord_less_real @ X2 @ B )
& ( ( poly_real2 @ P @ X2 )
= zero_zero_real ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(408,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 )
=> ? [X2: real] :
( ( ord_less_real @ A @ X2 )
& ( ord_less_real @ X2 @ B )
& ( ( poly_real2 @ P @ X2 )
= zero_zero_real ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(409,plain,
( ( ! [X: real] :
( ( poly_real2 @ zero_zero_poly_real @ X )
= zero_zero_real ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(410,plain,
( ( p != zero_zero_poly_real )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(411,plain,
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
=> ( sturm_469514713_r_pos @ p @ x ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(412,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(413,plain,
( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(414,plain,
( ( ~ ( ( ( sturm_469514713_r_pos @ p @ x )
!= ( ~ ( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
=> ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
& ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[348]) ).
thf(415,plain,
( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(416,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(417,plain,
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
=> ( sturm_469514713_r_pos @ p @ x ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(418,plain,
( ( p != zero_zero_poly_real )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(419,plain,
( ( ! [X: real] :
( ( poly_real2 @ zero_zero_poly_real @ X )
= zero_zero_real ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(420,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 )
=> ? [X2: real] :
( ( ord_less_real @ A @ X2 )
& ( ord_less_real @ X2 @ B )
& ( ( poly_real2 @ P @ X2 )
= zero_zero_real ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(421,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 ) )
=> ? [X2: real] :
( ( ord_less_real @ A @ X2 )
& ( ord_less_real @ X2 @ B )
& ( ( poly_real2 @ P @ X2 )
= zero_zero_real ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(422,plain,
( ( ! [P: poly_real] :
( ( ! [X3: real] :
( ( poly_real2 @ P @ X3 )
= zero_zero_real ) )
= ( P = zero_zero_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(423,plain,
( ( ~ ( ord_less_real @ zero_zero_real @ zero_zero_real ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(424,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)],[404]) ).
thf(425,plain,
( ( ( pderiv_real @ zero_zero_poly_real )
= zero_zero_poly_real )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(426,plain,
( ( ! [X: real] :
( ( zero_zero_real = X )
= ( X = zero_zero_real ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(427,plain,
( ( ! [P: poly_real,Q: poly_real] :
( ( ( poly_real2 @ P )
= ( poly_real2 @ Q ) )
= ( P = Q ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(428,plain,
( ( rsquarefree_real
= ( ^ [P2: poly_real] :
! [A2: real] :
~ ( ( ( poly_real2 @ P2 @ A2 )
= zero_zero_real )
& ( ( poly_real2 @ ( pderiv_real @ P2 ) @ A2 )
= zero_zero_real ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(429,plain,
( ( ord_less_eq_real @ zero_zero_real @ zero_zero_real )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(430,plain,
( ( ord_less_eq_real
= ( ^ [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
| ( X3 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(431,plain,
( ( ! [Lb: real,Ub2: real,P: poly_real] :
( ( ! [Z2: real] :
( ( ( ord_less_real @ Lb @ Z2 )
& ( ord_less_eq_real @ Z2 @ Ub2 ) )
=> ( ( poly_real2 @ P @ Z2 )
!= zero_zero_real ) ) )
= ( ! [Z2: real] :
( ( ( ord_less_real @ Lb @ Z2 )
& ( ord_less_eq_real @ Z2 @ Ub2 ) )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ Z2 ) ) )
| ! [Z2: real] :
( ( ( ord_less_real @ Lb @ Z2 )
& ( ord_less_eq_real @ Z2 @ Ub2 ) )
=> ( ord_less_real @ ( poly_real2 @ P @ Z2 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(432,plain,
( ( ! [Lb: real,Ub2: real,P: poly_real] :
( ( ! [Z2: real] :
( ( ( ord_less_eq_real @ Lb @ Z2 )
& ( ord_less_real @ Z2 @ Ub2 ) )
=> ( ( poly_real2 @ P @ Z2 )
!= zero_zero_real ) ) )
= ( ! [Z2: real] :
( ( ( ord_less_eq_real @ Lb @ Z2 )
& ( ord_less_real @ Z2 @ Ub2 ) )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ P @ Z2 ) ) )
| ! [Z2: real] :
( ( ( ord_less_eq_real @ Lb @ Z2 )
& ( ord_less_real @ Z2 @ Ub2 ) )
=> ( ord_less_real @ ( poly_real2 @ P @ Z2 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(433,plain,
( ( ! [T: real] :
? [Z3: real] :
! [X4: real] :
( ( ord_less_real @ X4 @ Z3 )
=> ~ ( ord_less_eq_real @ T @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(434,plain,
( ( ! [T: real] :
? [Z3: real] :
! [X4: real] :
( ( ord_less_real @ X4 @ Z3 )
=> ( ord_less_eq_real @ X4 @ T ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(435,plain,
( ( ! [T: real] :
? [Z3: real] :
! [X4: real] :
( ( ord_less_real @ Z3 @ X4 )
=> ( ord_less_eq_real @ T @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(436,plain,
( ( ! [T: real] :
? [Z3: real] :
! [X4: real] :
( ( ord_less_real @ Z3 @ X4 )
=> ~ ( ord_less_eq_real @ X4 @ T ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(437,plain,
( ( ! [B2: real,A4: real] :
( ( ~ ( ord_less_eq_real @ B2 @ A4 ) )
= ( ord_less_real @ A4 @ B2 ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(438,plain,
( ( ! [B: real,A: real] :
( ( ord_less_real @ B @ A )
=> ( A != B ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(439,plain,
( ( ! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ( A != B ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(440,plain,
( ( ! [X: real,Y3: real] :
( ( ~ ( ord_less_real @ X @ Y3 ) )
= ( ( ord_less_real @ Y3 @ X )
| ( X = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(441,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)],[387]) ).
thf(442,plain,
( ( ! [P3: real > real > $o,A: real,B: real] :
( ! [A5: real,B4: real] :
( ( ord_less_real @ A5 @ B4 )
=> ( P3 @ A5 @ B4 ) )
=> ( ! [A5: real] : ( P3 @ A5 @ A5 )
=> ( ! [A5: real,B4: real] :
( ( P3 @ B4 @ A5 )
=> ( P3 @ A5 @ B4 ) )
=> ( P3 @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(443,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ~ ( ord_less_real @ Y3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(444,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)],[384]) ).
thf(445,plain,
( ( ! [A: real] :
~ ( ord_less_real @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(446,plain,
( ( ! [X: real,Y3: real] :
( ~ ( ord_less_real @ X @ Y3 )
=> ( ( X != Y3 )
=> ( ord_less_real @ Y3 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(447,plain,
( ( ! [X: real,Y3: real,P3: $o] :
( ( ord_less_real @ X @ Y3 )
=> ( ( ord_less_real @ Y3 @ X )
=> P3 ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(448,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ( Y3 != X ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(449,plain,
( ( ! [Y3: real,X: real] :
( ~ ( ord_less_real @ Y3 @ X )
=> ( ( ~ ( ord_less_real @ X @ Y3 ) )
= ( X = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(450,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ~ ( ord_less_real @ Y3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(451,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ( X != Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(452,plain,
( ( ! [B: real,A: real] :
( ( ord_less_real @ B @ A )
=> ~ ( ord_less_real @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(453,plain,
( ( ! [A: real,B: real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( B = C )
=> ( ord_less_real @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(454,plain,
( ( ! [A: real,B: real,C: real] :
( ( A = B )
=> ( ( ord_less_real @ B @ C )
=> ( ord_less_real @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(455,plain,
( ( ! [X: real] :
~ ( ord_less_real @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(456,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
| ( X = Y3 )
| ( ord_less_real @ Y3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(457,plain,
( ( ! [X: real,Y3: real,Z5: real] :
( ( ord_less_real @ X @ Y3 )
=> ( ( ord_less_real @ Y3 @ Z5 )
=> ( ord_less_real @ X @ Z5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(458,plain,
( ( ! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(459,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ~ ( ord_less_real @ Y3 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(460,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ( X != Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(461,plain,
( ( ! [X: real,Y3: real] :
( ( ord_less_real @ X @ Y3 )
=> ? [Z3: real] :
( ( ord_less_real @ X @ Z3 )
& ( ord_less_real @ Z3 @ Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(462,plain,
( ( ! [A: real,B: real] :
( ( ord_less_real @ A @ B )
=> ~ ( ord_less_real @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(463,plain,
( ( ! [X: real,Y3: real] :
( ( X != Y3 )
= ( ( ord_less_real @ X @ Y3 )
| ( ord_less_real @ Y3 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(464,plain,
( ( ! [X: real,Y3: real] :
( ( X != Y3 )
=> ( ~ ( ord_less_real @ X @ Y3 )
=> ( ord_less_real @ Y3 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(465,plain,
( ( ! [X: real] :
? [X_1: real] : ( ord_less_real @ X @ X_1 ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(466,plain,
( ( ! [X: real] :
? [Y: real] : ( ord_less_real @ Y @ X ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(467,plain,
( ( ! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(468,plain,
( ( ! [A: real,B: real,F: real > nat,C: nat] :
( ( ord_less_real @ A @ B )
=> ( ( ord_less_nat @ ( F @ B ) @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_nat @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(469,plain,
( ( ! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_nat @ A @ B )
=> ( ( ord_less_real @ ( F @ B ) @ C )
=> ( ! [X2: nat,Y: nat] :
( ( ord_less_nat @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(470,plain,
( ( ! [A: real,F: real > real,B: real,C: real] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(471,plain,
( ( ! [A: real,F: nat > real,B: nat,C: nat] :
( ( ord_less_real @ A @ ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X2: nat,Y: nat] :
( ( ord_less_nat @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(472,plain,
( ( ! [A: nat,F: real > nat,B: real,C: real] :
( ( ord_less_nat @ A @ ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_nat @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(473,plain,
( ( ! [A: real,B: real,F: real > real,C: real] :
( ( ord_less_real @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(474,plain,
( ( ! [A: real,B: real,F: real > nat,C: nat] :
( ( ord_less_real @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_nat @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(475,plain,
( ( ! [A: nat,B: nat,F: nat > real,C: real] :
( ( ord_less_nat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X2: nat,Y: nat] :
( ( ord_less_nat @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(476,plain,
( ( ! [A: real,F: real > real,B: real,C: real] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(477,plain,
( ( ! [A: nat,F: real > nat,B: real,C: real] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_real @ B @ C )
=> ( ! [X2: real,Y: real] :
( ( ord_less_real @ X2 @ Y )
=> ( ord_less_nat @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[351]) ).
thf(478,plain,
( ( ! [A: real,F: nat > real,B: nat,C: nat] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_nat @ B @ C )
=> ( ! [X2: nat,Y: nat] :
( ( ord_less_nat @ X2 @ Y )
=> ( ord_less_real @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(479,plain,
( ( ! [A: real] :
~ ( ord_less_real @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(480,plain,
( ( ~ ( ( ( sturm_469514713_r_pos @ p @ x )
!= ( ~ ( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
=> ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
& ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
=> ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(481,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(482,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)],[469]) ).
thf(483,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)],[442]) ).
thf(484,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(485,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)],[468]) ).
thf(486,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)],[471]) ).
thf(487,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)],[472]) ).
thf(488,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)],[467]) ).
thf(489,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( SX1 != SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(490,plain,
( ( ! [SX0: real] :
~ ! [SX1: real] :
~ ( ord_less_real @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(491,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)],[473]) ).
thf(492,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(493,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(494,plain,
( ( ! [SX0: real] :
~ ! [SX1: real] :
~ ! [SX2: real] :
( ~ ( ord_less_real @ SX1 @ SX2 )
| ~ ( ord_less_eq_real @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436]) ).
thf(495,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)],[424]) ).
thf(496,plain,
( ( p != zero_zero_poly_real )
= $true ),
inference(unfold_def,[status(thm)],[418]) ).
thf(497,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)],[454]) ).
thf(498,plain,
( ( ! [SX0: real,SX1: real] :
( ( SX0 != SX1 )
= ( ( ord_less_real @ SX0 @ SX1 )
| ( ord_less_real @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(499,plain,
( ( ! [SX0: real] :
~ ! [SX1: real] :
~ ! [SX2: real] :
( ~ ( ord_less_real @ SX1 @ SX2 )
| ( ord_less_eq_real @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(500,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( SX1 != SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(501,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)],[474]) ).
thf(502,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)],[475]) ).
thf(503,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)],[431]) ).
thf(504,plain,
( ( rsquarefree_real
= ( ^ [SX0: poly_real] :
! [SX1: real] :
~ ~ ( ( ( poly_real2 @ SX0 @ SX1 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SX0 ) @ SX1 )
!= zero_zero_real ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[428]) ).
thf(505,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)],[478]) ).
thf(506,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)],[477]) ).
thf(507,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)],[444]) ).
thf(508,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)],[453]) ).
thf(509,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(510,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ( SX0 != SX1 ) )
| ~ ~ ( ord_less_real @ SX0 @ SX1 )
| ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(511,plain,
( ( ! [SX0: real,SX1: real,SX2: $o] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 )
| SX2 ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(512,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)],[461]) ).
thf(513,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)],[457]) ).
thf(514,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)],[420]) ).
thf(515,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)],[421]) ).
thf(516,plain,
( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $true ),
inference(unfold_def,[status(thm)],[415]) ).
thf(517,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)],[476]) ).
thf(518,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)],[470]) ).
thf(519,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) )
| ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(520,plain,
( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
| ( sturm_469514713_r_pos @ p @ x ) )
= $true ),
inference(unfold_def,[status(thm)],[417]) ).
thf(521,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)],[441]) ).
thf(522,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(523,plain,
( ( ~ ( ( ( sturm_469514713_r_pos @ p @ x )
!= ( ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(524,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)],[432]) ).
thf(525,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(526,plain,
( ( ~ ( sturm_469514713_r_pos @ p @ x )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(527,plain,
( ( ! [SX0: real] :
~ ! [SX1: real] :
~ ! [SX2: real] :
( ~ ( ord_less_real @ SX2 @ SX1 )
| ( ord_less_eq_real @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(528,plain,
( ( ! [SX0: real] :
~ ! [SX1: real] :
~ ! [SX2: real] :
( ~ ( ord_less_real @ SX2 @ SX1 )
| ~ ( ord_less_eq_real @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[433]) ).
thf(529,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ~ ( ord_less_real @ SX0 @ SX1 )
| ( ( ~ ( ord_less_real @ SX1 @ SX0 ) )
= ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(530,plain,
( ( ! [SX0: real] :
~ ! [SX1: real] :
~ ( ord_less_real @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(531,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(532,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_real @ SX0 @ SX1 )
| ~ ( ord_less_real @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(533,plain,
! [SV1: real] :
( ( ( poly_real2 @ zero_zero_poly_real @ SV1 )
= zero_zero_real )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(534,plain,
! [SV2: poly_real] :
( ( ( ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real ) )
= ( SV2 = zero_zero_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(535,plain,
( ( ord_less_real @ zero_zero_real @ zero_zero_real )
= $false ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(536,plain,
! [SV3: real] :
( ( ( zero_zero_real = SV3 )
= ( SV3 = zero_zero_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(537,plain,
! [SV4: poly_real] :
( ( ! [SY190: poly_real] :
( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SY190 ) )
= ( SV4 = SY190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(538,plain,
( ( ! [SV5: real] :
( ( ord_less_eq_real @ SV5 )
= ( ^ [SY191: real] :
( ( ord_less_real @ SV5 @ SY191 )
| ( SV5 = SY191 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[430]) ).
thf(539,plain,
( ( ord_less_eq_real
= ( ^ [X3: real,Y2: real] :
( ( ord_less_real @ X3 @ Y2 )
| ( X3 = Y2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[430]) ).
thf(540,plain,
! [SV6: real] :
( ( ! [SY192: real] :
( ( ~ ( ord_less_eq_real @ SV6 @ SY192 ) )
= ( ord_less_real @ SY192 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(541,plain,
! [SV7: real] :
( ( ! [SY193: real] :
( ( ~ ( ord_less_real @ SV7 @ SY193 ) )
= ( ( ord_less_real @ SY193 @ SV7 )
| ( SV7 = SY193 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(542,plain,
! [SV8: real] :
( ( ~ ( ord_less_real @ SV8 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(543,plain,
! [SV9: real] :
( ( ~ ( ord_less_real @ SV9 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(544,plain,
! [SV10: real] :
( ( ! [SY194: real] :
( ( ord_less_real @ SV10 @ SY194 )
| ( SV10 = SY194 )
| ( ord_less_real @ SY194 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(545,plain,
! [SV11: real] :
( ( ~ ( ord_less_real @ SV11 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(546,plain,
! [SV12: real] :
( ( ! [SY195: real] :
( ~ ( ord_less_real @ SV12 @ SY195 )
| ( SV12 != SY195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(547,plain,
! [SV13: nat] :
( ( ! [SY196: nat,SY197: nat > real,SY198: real] :
( ~ ( ord_less_nat @ SV13 @ SY196 )
| ~ ( ord_less_real @ ( SY197 @ SY196 ) @ SY198 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SY197 @ SX4 ) @ ( SY197 @ SX5 ) ) )
| ( ord_less_real @ ( SY197 @ SV13 ) @ SY198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(548,plain,
! [SV14: real > real > $o] :
( ( ! [SY201: real,SY202: real] :
( ~ ! [SY203: real,SY204: real] :
( ~ ( ord_less_real @ SY203 @ SY204 )
| ( SV14 @ SY203 @ SY204 ) )
| ~ ! [SY205: real] : ( SV14 @ SY205 @ SY205 )
| ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SY201 @ SY202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(549,plain,
! [SV15: real] :
( ( ! [SY208: real] :
( ~ ( ord_less_real @ SV15 @ SY208 )
| ~ ( ord_less_real @ SY208 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(550,plain,
! [SV16: real] :
( ( ! [SY209: real,SY210: real > nat,SY211: nat] :
( ~ ( ord_less_real @ SV16 @ SY209 )
| ~ ( ord_less_nat @ ( SY210 @ SY209 ) @ SY211 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SY210 @ SX4 ) @ ( SY210 @ SX5 ) ) )
| ( ord_less_nat @ ( SY210 @ SV16 ) @ SY211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(551,plain,
! [SV17: real] :
( ( ! [SY214: nat > real,SY215: nat,SY216: nat] :
( ~ ( ord_less_real @ SV17 @ ( SY214 @ SY215 ) )
| ~ ( ord_less_nat @ SY215 @ SY216 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SY214 @ SX4 ) @ ( SY214 @ SX5 ) ) )
| ( ord_less_real @ SV17 @ ( SY214 @ SY216 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(552,plain,
! [SV18: nat] :
( ( ! [SY219: real > nat,SY220: real,SY221: real] :
( ~ ( ord_less_nat @ SV18 @ ( SY219 @ SY220 ) )
| ~ ( ord_less_real @ SY220 @ SY221 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SY219 @ SX4 ) @ ( SY219 @ SX5 ) ) )
| ( ord_less_nat @ SV18 @ ( SY219 @ SY221 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(553,plain,
! [SV19: real] :
( ( ! [SY224: real,SY225: real > real,SY226: real] :
( ~ ( ord_less_real @ SV19 @ SY224 )
| ~ ( ord_less_real @ ( SY225 @ SY224 ) @ SY226 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SY225 @ SX4 ) @ ( SY225 @ SX5 ) ) )
| ( ord_less_real @ ( SY225 @ SV19 ) @ SY226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(554,plain,
! [SV20: real] :
( ( ! [SY229: real] :
( ~ ( ord_less_real @ SV20 @ SY229 )
| ( SY229 != SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(555,plain,
! [SV21: real] :
( ( ~ ! [SY230: real] :
~ ( ord_less_real @ SY230 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(556,plain,
! [SV22: real] :
( ( ! [SY231: real,SY232: real > real,SY233: real] :
( ~ ( ord_less_real @ SV22 @ SY231 )
| ( ( SY232 @ SY231 )
!= SY233 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SY232 @ SX4 ) @ ( SY232 @ SX5 ) ) )
| ( ord_less_real @ ( SY232 @ SV22 ) @ SY233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(557,plain,
! [SV23: real] :
( ( ! [SY236: real] :
( ~ ( ord_less_real @ SV23 @ SY236 )
| ~ ( ord_less_real @ SY236 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(558,plain,
! [SV24: real] :
( ( ! [SY237: real] :
( ~ ( ord_less_real @ SV24 @ SY237 )
| ~ ( ord_less_real @ SY237 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(559,plain,
! [SV25: real] :
( ( ~ ! [SY238: real] :
~ ! [SY239: real] :
( ~ ( ord_less_real @ SY238 @ SY239 )
| ~ ( ord_less_eq_real @ SY239 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(560,plain,
! [SV26: real] :
( ( ! [SY240: real] :
( ~ ( ord_less_real @ zero_zero_real @ SV26 )
| ~ ( ord_less_real @ zero_zero_real @ SY240 )
| ~ ! [SY241: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY241 )
| ~ ( ord_less_real @ SY241 @ SV26 ) )
| ~ ( ord_less_real @ SY241 @ SY240 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(561,plain,
( ( p = zero_zero_poly_real )
= $false ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(562,plain,
! [SV27: real] :
( ( ! [SY242: real,SY243: real] :
( ( SV27 != SY242 )
| ~ ( ord_less_real @ SY242 @ SY243 )
| ( ord_less_real @ SV27 @ SY243 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(563,plain,
! [SV28: real] :
( ( ! [SY244: real] :
( ( SV28 != SY244 )
= ( ( ord_less_real @ SV28 @ SY244 )
| ( ord_less_real @ SY244 @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(564,plain,
! [SV29: real] :
( ( ~ ! [SY245: real] :
~ ! [SY246: real] :
( ~ ( ord_less_real @ SY245 @ SY246 )
| ( ord_less_eq_real @ SV29 @ SY246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(565,plain,
! [SV30: real] :
( ( ! [SY247: real] :
( ~ ( ord_less_real @ SV30 @ SY247 )
| ( SY247 != SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(566,plain,
! [SV31: real] :
( ( ! [SY248: real,SY249: real > nat,SY250: nat] :
( ~ ( ord_less_real @ SV31 @ SY248 )
| ( ( SY249 @ SY248 )
!= SY250 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SY249 @ SX4 ) @ ( SY249 @ SX5 ) ) )
| ( ord_less_nat @ ( SY249 @ SV31 ) @ SY250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(567,plain,
! [SV32: nat] :
( ( ! [SY253: nat,SY254: nat > real,SY255: real] :
( ~ ( ord_less_nat @ SV32 @ SY253 )
| ( ( SY254 @ SY253 )
!= SY255 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SY254 @ SX4 ) @ ( SY254 @ SX5 ) ) )
| ( ord_less_real @ ( SY254 @ SV32 ) @ SY255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(568,plain,
! [SV33: real] :
( ( ! [SY258: real,SY259: poly_real] :
( ( ! [SY260: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY260 )
| ~ ( ord_less_eq_real @ SY260 @ SY258 ) )
| ( ( poly_real2 @ SY259 @ SY260 )
!= zero_zero_real ) ) )
= ( ! [SY261: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY261 )
| ~ ( ord_less_eq_real @ SY261 @ SY258 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY259 @ SY261 ) ) )
| ! [SY262: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY262 )
| ~ ( ord_less_eq_real @ SY262 @ SY258 ) )
| ( ord_less_real @ ( poly_real2 @ SY259 @ SY262 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(569,plain,
( ( ! [SV34: poly_real] :
( ( rsquarefree_real @ SV34 )
= ( ! [SY263: real] :
~ ~ ( ( ( poly_real2 @ SV34 @ SY263 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV34 ) @ SY263 )
!= zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[504]) ).
thf(570,plain,
( ( rsquarefree_real
= ( ^ [SX0: poly_real] :
! [SX1: real] :
~ ~ ( ( ( poly_real2 @ SX0 @ SX1 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SX0 ) @ SX1 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[504]) ).
thf(571,plain,
! [SV35: real] :
( ( ! [SY264: nat > real,SY265: nat,SY266: nat] :
( ( SV35
!= ( SY264 @ SY265 ) )
| ~ ( ord_less_nat @ SY265 @ SY266 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SY264 @ SX4 ) @ ( SY264 @ SX5 ) ) )
| ( ord_less_real @ SV35 @ ( SY264 @ SY266 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(572,plain,
! [SV36: nat] :
( ( ! [SY269: real > nat,SY270: real,SY271: real] :
( ( SV36
!= ( SY269 @ SY270 ) )
| ~ ( ord_less_real @ SY270 @ SY271 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SY269 @ SX4 ) @ ( SY269 @ SX5 ) ) )
| ( ord_less_nat @ SV36 @ ( SY269 @ SY271 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(573,plain,
! [SV37: real] :
( ( ! [SY274: real,SY275: real] :
( ~ ( ord_less_real @ SV37 @ SY274 )
| ~ ( ord_less_real @ SY274 @ SY275 )
| ( ord_less_real @ SV37 @ SY275 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(574,plain,
! [SV38: real] :
( ( ! [SY276: real,SY277: real] :
( ~ ( ord_less_real @ SV38 @ SY276 )
| ( SY276 != SY277 )
| ( ord_less_real @ SV38 @ SY277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(575,plain,
! [SV39: real] :
( ( ! [SY278: real] :
( ~ ( ord_less_real @ SV39 @ SY278 )
| ~ ( ord_less_real @ SY278 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(576,plain,
! [SV40: real] :
( ( ! [SY279: real] :
( ~ ( ( SV40 != SY279 ) )
| ~ ~ ( ord_less_real @ SV40 @ SY279 )
| ( ord_less_real @ SY279 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(577,plain,
! [SV41: real] :
( ( ! [SY280: real,SY281: $o] :
( ~ ( ord_less_real @ SV41 @ SY280 )
| ~ ( ord_less_real @ SY280 @ SV41 )
| SY281 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(578,plain,
! [SV42: real] :
( ( ! [SY282: real] :
( ~ ( ord_less_real @ SV42 @ SY282 )
| ~ ! [SY283: real] :
~ ~ ( ~ ( ord_less_real @ SV42 @ SY283 )
| ~ ( ord_less_real @ SY283 @ SY282 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(579,plain,
! [SV43: real] :
( ( ! [SY284: real,SY285: real] :
( ~ ( ord_less_real @ SV43 @ SY284 )
| ~ ( ord_less_real @ SY284 @ SY285 )
| ( ord_less_real @ SV43 @ SY285 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(580,plain,
! [SV44: real] :
( ( ! [SY286: real,SY287: poly_real] :
( ~ ( ord_less_real @ SV44 @ SY286 )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY287 @ SV44 ) )
| ~ ( ord_less_real @ ( poly_real2 @ SY287 @ SY286 ) @ zero_zero_real )
| ~ ! [SY288: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV44 @ SY288 )
| ~ ( ord_less_real @ SY288 @ SY286 ) )
| ( ( poly_real2 @ SY287 @ SY288 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(581,plain,
! [SV45: real] :
( ( ! [SY289: real,SY290: poly_real] :
( ~ ( ord_less_real @ SV45 @ SY289 )
| ~ ( ord_less_real @ ( poly_real2 @ SY290 @ SV45 ) @ zero_zero_real )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY290 @ SY289 ) )
| ~ ! [SY291: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV45 @ SY291 )
| ~ ( ord_less_real @ SY291 @ SY289 ) )
| ( ( poly_real2 @ SY290 @ SY291 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(582,plain,
( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(583,plain,
! [SV46: real] :
( ( ! [SY292: real > real,SY293: real,SY294: real] :
( ( SV46
!= ( SY292 @ SY293 ) )
| ~ ( ord_less_real @ SY293 @ SY294 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SY292 @ SX4 ) @ ( SY292 @ SX5 ) ) )
| ( ord_less_real @ SV46 @ ( SY292 @ SY294 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(584,plain,
! [SV47: real] :
( ( ! [SY297: real > real,SY298: real,SY299: real] :
( ~ ( ord_less_real @ SV47 @ ( SY297 @ SY298 ) )
| ~ ( ord_less_real @ SY298 @ SY299 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SY297 @ SX4 ) @ ( SY297 @ SX5 ) ) )
| ( ord_less_real @ SV47 @ ( SY297 @ SY299 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(585,plain,
! [SV48: real] :
( ( ! [SY302: real] :
( ~ ~ ( ord_less_real @ SV48 @ SY302 )
| ~ ( ( SV48 != SY302 ) )
| ( ord_less_real @ SY302 @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(586,plain,
( ( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(587,plain,
! [SV49: real] :
( ( ! [SY303: real,SY304: real] :
( ~ ( ord_less_real @ SV49 @ SY303 )
| ~ ( ord_less_real @ SY304 @ SV49 )
| ( ord_less_real @ SY304 @ SY303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(588,plain,
! [SV50: real] :
( ( ! [SY305: real] :
( ~ ( ord_less_real @ SV50 @ SY305 )
| ~ ( ord_less_real @ SY305 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(589,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
!= ( ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(590,plain,
! [SV51: real] :
( ( ! [SY306: real,SY307: poly_real] :
( ( ! [SY308: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY308 )
| ~ ( ord_less_real @ SY308 @ SY306 ) )
| ( ( poly_real2 @ SY307 @ SY308 )
!= zero_zero_real ) ) )
= ( ! [SY309: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY309 )
| ~ ( ord_less_real @ SY309 @ SY306 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY307 @ SY309 ) ) )
| ! [SY310: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY310 )
| ~ ( ord_less_real @ SY310 @ SY306 ) )
| ( ord_less_real @ ( poly_real2 @ SY307 @ SY310 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(591,plain,
! [SV52: real] :
( ( ! [SY311: real] :
( ~ ( ord_less_real @ SV52 @ SY311 )
| ( SV52 != SY311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(592,plain,
( ( ( ~ ( sturm_469514713_r_pos @ p @ x ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(593,plain,
! [SV53: real] :
( ( ~ ! [SY312: real] :
~ ! [SY313: real] :
( ~ ( ord_less_real @ SY313 @ SY312 )
| ( ord_less_eq_real @ SY313 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(594,plain,
! [SV54: real] :
( ( ~ ! [SY314: real] :
~ ! [SY315: real] :
( ~ ( ord_less_real @ SY315 @ SY314 )
| ~ ( ord_less_eq_real @ SV54 @ SY315 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(595,plain,
! [SV55: real] :
( ( ! [SY316: real] :
( ~ ~ ( ord_less_real @ SV55 @ SY316 )
| ( ( ~ ( ord_less_real @ SY316 @ SV55 ) )
= ( SY316 = SV55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(596,plain,
! [SV56: real] :
( ( ~ ! [SY317: real] :
~ ( ord_less_real @ SV56 @ SY317 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(597,plain,
! [SV57: real] :
( ( ! [SY318: real] :
( ~ ( ord_less_real @ SV57 @ SY318 )
| ( SV57 != SY318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(598,plain,
! [SV58: real] :
( ( ! [SY319: real] :
( ~ ( ord_less_real @ SV58 @ SY319 )
| ~ ( ord_less_real @ SY319 @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(599,plain,
! [SV2: poly_real] :
( ( ~ ( ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real )
| ( SV2 = zero_zero_poly_real ) )
| ~ ( ~ ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(600,plain,
! [SV2: poly_real] :
( ( ( ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real ) )
= ( SV2 = zero_zero_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(601,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)],[536]) ).
thf(602,plain,
! [SV3: real] :
( ( ( zero_zero_real = SV3 )
= ( SV3 = zero_zero_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[536]) ).
thf(603,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= ( SV4 = SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(604,plain,
! [SV60: real] :
( ( ( ord_less_eq_real @ SV60 )
= ( ^ [SY320: real] :
( ( ord_less_real @ SV60 @ SY320 )
| ( SV60 = SY320 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(605,plain,
! [SV61: real,SV6: real] :
( ( ( ~ ( ord_less_eq_real @ SV6 @ SV61 ) )
= ( ord_less_real @ SV61 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(606,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ( ord_less_real @ SV7 @ SV62 ) )
= ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(607,plain,
! [SV8: real] :
( ( ord_less_real @ SV8 @ SV8 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(608,plain,
! [SV9: real] :
( ( ord_less_real @ SV9 @ SV9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(609,plain,
! [SV63: real,SV10: real] :
( ( ( ord_less_real @ SV10 @ SV63 )
| ( SV10 = SV63 )
| ( ord_less_real @ SV63 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(610,plain,
! [SV11: real] :
( ( ord_less_real @ SV11 @ SV11 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(611,plain,
! [SV64: real,SV12: real] :
( ( ~ ( ord_less_real @ SV12 @ SV64 )
| ( SV12 != SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(612,plain,
! [SV65: nat,SV13: nat] :
( ( ! [SY321: nat > real,SY322: real] :
( ~ ( ord_less_nat @ SV13 @ SV65 )
| ~ ( ord_less_real @ ( SY321 @ SV65 ) @ SY322 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SY321 @ SX4 ) @ ( SY321 @ SX5 ) ) )
| ( ord_less_real @ ( SY321 @ SV13 ) @ SY322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(613,plain,
! [SV66: real,SV14: real > real > $o] :
( ( ! [SY325: real] :
( ~ ! [SY203: real,SY204: real] :
( ~ ( ord_less_real @ SY203 @ SY204 )
| ( SV14 @ SY203 @ SY204 ) )
| ~ ! [SY205: real] : ( SV14 @ SY205 @ SY205 )
| ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SY325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(614,plain,
! [SV67: real,SV15: real] :
( ( ~ ( ord_less_real @ SV15 @ SV67 )
| ~ ( ord_less_real @ SV67 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(615,plain,
! [SV68: real,SV16: real] :
( ( ! [SY331: real > nat,SY332: nat] :
( ~ ( ord_less_real @ SV16 @ SV68 )
| ~ ( ord_less_nat @ ( SY331 @ SV68 ) @ SY332 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SY331 @ SX4 ) @ ( SY331 @ SX5 ) ) )
| ( ord_less_nat @ ( SY331 @ SV16 ) @ SY332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(616,plain,
! [SV69: nat > real,SV17: real] :
( ( ! [SY335: nat,SY336: nat] :
( ~ ( ord_less_real @ SV17 @ ( SV69 @ SY335 ) )
| ~ ( ord_less_nat @ SY335 @ SY336 )
| ~ ! [SY337: nat,SY338: nat] :
( ~ ( ord_less_nat @ SY337 @ SY338 )
| ( ord_less_real @ ( SV69 @ SY337 ) @ ( SV69 @ SY338 ) ) )
| ( ord_less_real @ SV17 @ ( SV69 @ SY336 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(617,plain,
! [SV70: real > nat,SV18: nat] :
( ( ! [SY339: real,SY340: real] :
( ~ ( ord_less_nat @ SV18 @ ( SV70 @ SY339 ) )
| ~ ( ord_less_real @ SY339 @ SY340 )
| ~ ! [SY341: real,SY342: real] :
( ~ ( ord_less_real @ SY341 @ SY342 )
| ( ord_less_nat @ ( SV70 @ SY341 ) @ ( SV70 @ SY342 ) ) )
| ( ord_less_nat @ SV18 @ ( SV70 @ SY340 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(618,plain,
! [SV71: real,SV19: real] :
( ( ! [SY343: real > real,SY344: real] :
( ~ ( ord_less_real @ SV19 @ SV71 )
| ~ ( ord_less_real @ ( SY343 @ SV71 ) @ SY344 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SY343 @ SX4 ) @ ( SY343 @ SX5 ) ) )
| ( ord_less_real @ ( SY343 @ SV19 ) @ SY344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(619,plain,
! [SV72: real,SV20: real] :
( ( ~ ( ord_less_real @ SV20 @ SV72 )
| ( SV72 != SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(620,plain,
! [SV21: real] :
( ( ! [SY230: real] :
~ ( ord_less_real @ SY230 @ SV21 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(621,plain,
! [SV73: real,SV22: real] :
( ( ! [SY347: real > real,SY348: real] :
( ~ ( ord_less_real @ SV22 @ SV73 )
| ( ( SY347 @ SV73 )
!= SY348 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_real @ ( SY347 @ SX4 ) @ ( SY347 @ SX5 ) ) )
| ( ord_less_real @ ( SY347 @ SV22 ) @ SY348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(622,plain,
! [SV74: real,SV23: real] :
( ( ~ ( ord_less_real @ SV23 @ SV74 )
| ~ ( ord_less_real @ SV74 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(623,plain,
! [SV75: real,SV24: real] :
( ( ~ ( ord_less_real @ SV24 @ SV75 )
| ~ ( ord_less_real @ SV75 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(624,plain,
! [SV25: real] :
( ( ! [SY238: real] :
~ ! [SY239: real] :
( ~ ( ord_less_real @ SY238 @ SY239 )
| ~ ( ord_less_eq_real @ SY239 @ SV25 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(625,plain,
! [SV76: real,SV26: real] :
( ( ~ ( ord_less_real @ zero_zero_real @ SV26 )
| ~ ( ord_less_real @ zero_zero_real @ SV76 )
| ~ ! [SY351: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY351 )
| ~ ( ord_less_real @ SY351 @ SV26 ) )
| ~ ( ord_less_real @ SY351 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(626,plain,
! [SV77: real,SV27: real] :
( ( ! [SY352: real] :
( ( SV27 != SV77 )
| ~ ( ord_less_real @ SV77 @ SY352 )
| ( ord_less_real @ SV27 @ SY352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(627,plain,
! [SV78: real,SV28: real] :
( ( ( SV28 != SV78 )
= ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(628,plain,
! [SV29: real] :
( ( ! [SY245: real] :
~ ! [SY246: real] :
( ~ ( ord_less_real @ SY245 @ SY246 )
| ( ord_less_eq_real @ SV29 @ SY246 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(629,plain,
! [SV79: real,SV30: real] :
( ( ~ ( ord_less_real @ SV30 @ SV79 )
| ( SV79 != SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(630,plain,
! [SV80: real,SV31: real] :
( ( ! [SY353: real > nat,SY354: nat] :
( ~ ( ord_less_real @ SV31 @ SV80 )
| ( ( SY353 @ SV80 )
!= SY354 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_real @ SX4 @ SX5 )
| ( ord_less_nat @ ( SY353 @ SX4 ) @ ( SY353 @ SX5 ) ) )
| ( ord_less_nat @ ( SY353 @ SV31 ) @ SY354 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(631,plain,
! [SV81: nat,SV32: nat] :
( ( ! [SY357: nat > real,SY358: real] :
( ~ ( ord_less_nat @ SV32 @ SV81 )
| ( ( SY357 @ SV81 )
!= SY358 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_nat @ SX4 @ SX5 )
| ( ord_less_real @ ( SY357 @ SX4 ) @ ( SY357 @ SX5 ) ) )
| ( ord_less_real @ ( SY357 @ SV32 ) @ SY358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(632,plain,
! [SV82: real,SV33: real] :
( ( ! [SY361: poly_real] :
( ( ! [SY362: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY362 )
| ~ ( ord_less_eq_real @ SY362 @ SV82 ) )
| ( ( poly_real2 @ SY361 @ SY362 )
!= zero_zero_real ) ) )
= ( ! [SY363: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY363 )
| ~ ( ord_less_eq_real @ SY363 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY361 @ SY363 ) ) )
| ! [SY364: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY364 )
| ~ ( ord_less_eq_real @ SY364 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SY361 @ SY364 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(633,plain,
! [SV83: poly_real] :
( ( ( rsquarefree_real @ SV83 )
= ( ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(634,plain,
! [SV84: nat > real,SV35: real] :
( ( ! [SY366: nat,SY367: nat] :
( ( SV35
!= ( SV84 @ SY366 ) )
| ~ ( ord_less_nat @ SY366 @ SY367 )
| ~ ! [SY368: nat,SY369: nat] :
( ~ ( ord_less_nat @ SY368 @ SY369 )
| ( ord_less_real @ ( SV84 @ SY368 ) @ ( SV84 @ SY369 ) ) )
| ( ord_less_real @ SV35 @ ( SV84 @ SY367 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(635,plain,
! [SV85: real > nat,SV36: nat] :
( ( ! [SY370: real,SY371: real] :
( ( SV36
!= ( SV85 @ SY370 ) )
| ~ ( ord_less_real @ SY370 @ SY371 )
| ~ ! [SY372: real,SY373: real] :
( ~ ( ord_less_real @ SY372 @ SY373 )
| ( ord_less_nat @ ( SV85 @ SY372 ) @ ( SV85 @ SY373 ) ) )
| ( ord_less_nat @ SV36 @ ( SV85 @ SY371 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(636,plain,
! [SV86: real,SV37: real] :
( ( ! [SY374: real] :
( ~ ( ord_less_real @ SV37 @ SV86 )
| ~ ( ord_less_real @ SV86 @ SY374 )
| ( ord_less_real @ SV37 @ SY374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(637,plain,
! [SV87: real,SV38: real] :
( ( ! [SY375: real] :
( ~ ( ord_less_real @ SV38 @ SV87 )
| ( SV87 != SY375 )
| ( ord_less_real @ SV38 @ SY375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(638,plain,
! [SV88: real,SV39: real] :
( ( ~ ( ord_less_real @ SV39 @ SV88 )
| ~ ( ord_less_real @ SV88 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(639,plain,
! [SV89: real,SV40: real] :
( ( ~ ( ( SV40 != SV89 ) )
| ~ ~ ( ord_less_real @ SV40 @ SV89 )
| ( ord_less_real @ SV89 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(640,plain,
! [SV90: real,SV41: real] :
( ( ! [SY376: $o] :
( ~ ( ord_less_real @ SV41 @ SV90 )
| ~ ( ord_less_real @ SV90 @ SV41 )
| SY376 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(641,plain,
! [SV91: real,SV42: real] :
( ( ~ ( ord_less_real @ SV42 @ SV91 )
| ~ ! [SY377: real] :
~ ~ ( ~ ( ord_less_real @ SV42 @ SY377 )
| ~ ( ord_less_real @ SY377 @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(642,plain,
! [SV92: real,SV43: real] :
( ( ! [SY378: real] :
( ~ ( ord_less_real @ SV43 @ SV92 )
| ~ ( ord_less_real @ SV92 @ SY378 )
| ( ord_less_real @ SV43 @ SY378 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(643,plain,
! [SV93: real,SV44: real] :
( ( ! [SY379: poly_real] :
( ~ ( ord_less_real @ SV44 @ SV93 )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY379 @ SV44 ) )
| ~ ( ord_less_real @ ( poly_real2 @ SY379 @ SV93 ) @ zero_zero_real )
| ~ ! [SY380: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV44 @ SY380 )
| ~ ( ord_less_real @ SY380 @ SV93 ) )
| ( ( poly_real2 @ SY379 @ SY380 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(644,plain,
! [SV94: real,SV45: real] :
( ( ! [SY381: poly_real] :
( ~ ( ord_less_real @ SV45 @ SV94 )
| ~ ( ord_less_real @ ( poly_real2 @ SY381 @ SV45 ) @ zero_zero_real )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY381 @ SV94 ) )
| ~ ! [SY382: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV45 @ SY382 )
| ~ ( ord_less_real @ SY382 @ SV94 ) )
| ( ( poly_real2 @ SY381 @ SY382 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(645,plain,
! [SV95: real > real,SV46: real] :
( ( ! [SY383: real,SY384: real] :
( ( SV46
!= ( SV95 @ SY383 ) )
| ~ ( ord_less_real @ SY383 @ SY384 )
| ~ ! [SY385: real,SY386: real] :
( ~ ( ord_less_real @ SY385 @ SY386 )
| ( ord_less_real @ ( SV95 @ SY385 ) @ ( SV95 @ SY386 ) ) )
| ( ord_less_real @ SV46 @ ( SV95 @ SY384 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(646,plain,
! [SV96: real > real,SV47: real] :
( ( ! [SY387: real,SY388: real] :
( ~ ( ord_less_real @ SV47 @ ( SV96 @ SY387 ) )
| ~ ( ord_less_real @ SY387 @ SY388 )
| ~ ! [SY389: real,SY390: real] :
( ~ ( ord_less_real @ SY389 @ SY390 )
| ( ord_less_real @ ( SV96 @ SY389 ) @ ( SV96 @ SY390 ) ) )
| ( ord_less_real @ SV47 @ ( SV96 @ SY388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(647,plain,
! [SV97: real,SV48: real] :
( ( ~ ~ ( ord_less_real @ SV48 @ SV97 )
| ~ ( ( SV48 != SV97 ) )
| ( ord_less_real @ SV97 @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(648,plain,
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $false )
| ( ( sturm_469514713_r_pos @ p @ x )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(649,plain,
! [SV98: real,SV49: real] :
( ( ! [SY391: real] :
( ~ ( ord_less_real @ SV49 @ SV98 )
| ~ ( ord_less_real @ SY391 @ SV49 )
| ( ord_less_real @ SY391 @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(650,plain,
! [SV99: real,SV50: real] :
( ( ~ ( ord_less_real @ SV50 @ SV99 )
| ~ ( ord_less_real @ SV99 @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(651,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
= ( ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(652,plain,
! [SV100: real,SV51: real] :
( ( ! [SY392: poly_real] :
( ( ! [SY393: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY393 )
| ~ ( ord_less_real @ SY393 @ SV100 ) )
| ( ( poly_real2 @ SY392 @ SY393 )
!= zero_zero_real ) ) )
= ( ! [SY394: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY394 )
| ~ ( ord_less_real @ SY394 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SY392 @ SY394 ) ) )
| ! [SY395: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY395 )
| ~ ( ord_less_real @ SY395 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SY392 @ SY395 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(653,plain,
! [SV101: real,SV52: real] :
( ( ~ ( ord_less_real @ SV52 @ SV101 )
| ( SV52 != SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(654,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(655,plain,
! [SV53: real] :
( ( ! [SY312: real] :
~ ! [SY313: real] :
( ~ ( ord_less_real @ SY313 @ SY312 )
| ( ord_less_eq_real @ SY313 @ SV53 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(656,plain,
! [SV54: real] :
( ( ! [SY314: real] :
~ ! [SY315: real] :
( ~ ( ord_less_real @ SY315 @ SY314 )
| ~ ( ord_less_eq_real @ SV54 @ SY315 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(657,plain,
! [SV102: real,SV55: real] :
( ( ~ ~ ( ord_less_real @ SV55 @ SV102 )
| ( ( ~ ( ord_less_real @ SV102 @ SV55 ) )
= ( SV102 = SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(658,plain,
! [SV56: real] :
( ( ! [SY317: real] :
~ ( ord_less_real @ SV56 @ SY317 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(659,plain,
! [SV103: real,SV57: real] :
( ( ~ ( ord_less_real @ SV57 @ SV103 )
| ( SV57 != SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(660,plain,
! [SV104: real,SV58: real] :
( ( ~ ( ord_less_real @ SV58 @ SV104 )
| ~ ( ord_less_real @ SV104 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(661,plain,
! [SV2: poly_real] :
( ( ( ~ ( ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real )
| ( SV2 = zero_zero_poly_real ) ) )
= $true )
| ( ( ~ ( ~ ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(662,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)],[601]) ).
thf(663,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ~ ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
| ( SV4 = SV59 ) )
| ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
| ( SV4 != SV59 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[603]) ).
thf(664,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= ( SV4 = SV59 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[603]) ).
thf(665,plain,
! [SV60: real] :
( ( ! [SV105: real] :
( ( ord_less_eq_real @ SV60 @ SV105 )
= ( ( ord_less_real @ SV60 @ SV105 )
| ( SV60 = SV105 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[604]) ).
thf(666,plain,
! [SV60: real] :
( ( ( ord_less_eq_real @ SV60 )
= ( ^ [SY320: real] :
( ( ord_less_real @ SV60 @ SY320 )
| ( SV60 = SY320 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[604]) ).
thf(667,plain,
! [SV61: real,SV6: real] :
( ( ~ ( ~ ( ord_less_eq_real @ SV6 @ SV61 )
| ( ord_less_real @ SV61 @ SV6 ) )
| ~ ( ~ ~ ( ord_less_eq_real @ SV6 @ SV61 )
| ~ ( ord_less_real @ SV61 @ SV6 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[605]) ).
thf(668,plain,
! [SV61: real,SV6: real] :
( ( ( ~ ( ord_less_eq_real @ SV6 @ SV61 ) )
= ( ord_less_real @ SV61 @ SV6 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[605]) ).
thf(669,plain,
! [SV62: real,SV7: real] :
( ( ~ ( ~ ( ord_less_real @ SV7 @ SV62 )
| ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) )
| ~ ( ~ ~ ( ord_less_real @ SV7 @ SV62 )
| ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(670,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ( ord_less_real @ SV7 @ SV62 ) )
= ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(671,plain,
! [SV63: real,SV10: real] :
( ( ( ( ord_less_real @ SV10 @ SV63 )
| ( SV10 = SV63 ) )
= $true )
| ( ( ord_less_real @ SV63 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(672,plain,
! [SV64: real,SV12: real] :
( ( ( ~ ( ord_less_real @ SV12 @ SV64 ) )
= $true )
| ( ( SV12 != SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(673,plain,
! [SV106: nat > real,SV65: nat,SV13: nat] :
( ( ! [SY396: real] :
( ~ ( ord_less_nat @ SV13 @ SV65 )
| ~ ( ord_less_real @ ( SV106 @ SV65 ) @ SY396 )
| ~ ! [SY397: nat,SY398: nat] :
( ~ ( ord_less_nat @ SY397 @ SY398 )
| ( ord_less_real @ ( SV106 @ SY397 ) @ ( SV106 @ SY398 ) ) )
| ( ord_less_real @ ( SV106 @ SV13 ) @ SY396 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(674,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ~ ! [SY203: real,SY204: real] :
( ~ ( ord_less_real @ SY203 @ SY204 )
| ( SV14 @ SY203 @ SY204 ) )
| ~ ! [SY205: real] : ( SV14 @ SY205 @ SY205 )
| ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(675,plain,
! [SV67: real,SV15: real] :
( ( ( ~ ( ord_less_real @ SV15 @ SV67 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV67 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(676,plain,
! [SV108: real > nat,SV68: real,SV16: real] :
( ( ! [SY404: nat] :
( ~ ( ord_less_real @ SV16 @ SV68 )
| ~ ( ord_less_nat @ ( SV108 @ SV68 ) @ SY404 )
| ~ ! [SY405: real,SY406: real] :
( ~ ( ord_less_real @ SY405 @ SY406 )
| ( ord_less_nat @ ( SV108 @ SY405 ) @ ( SV108 @ SY406 ) ) )
| ( ord_less_nat @ ( SV108 @ SV16 ) @ SY404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(677,plain,
! [SV109: nat,SV69: nat > real,SV17: real] :
( ( ! [SY407: nat] :
( ~ ( ord_less_real @ SV17 @ ( SV69 @ SV109 ) )
| ~ ( ord_less_nat @ SV109 @ SY407 )
| ~ ! [SY337: nat,SY338: nat] :
( ~ ( ord_less_nat @ SY337 @ SY338 )
| ( ord_less_real @ ( SV69 @ SY337 ) @ ( SV69 @ SY338 ) ) )
| ( ord_less_real @ SV17 @ ( SV69 @ SY407 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(678,plain,
! [SV110: real,SV70: real > nat,SV18: nat] :
( ( ! [SY410: real] :
( ~ ( ord_less_nat @ SV18 @ ( SV70 @ SV110 ) )
| ~ ( ord_less_real @ SV110 @ SY410 )
| ~ ! [SY341: real,SY342: real] :
( ~ ( ord_less_real @ SY341 @ SY342 )
| ( ord_less_nat @ ( SV70 @ SY341 ) @ ( SV70 @ SY342 ) ) )
| ( ord_less_nat @ SV18 @ ( SV70 @ SY410 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(679,plain,
! [SV111: real > real,SV71: real,SV19: real] :
( ( ! [SY413: real] :
( ~ ( ord_less_real @ SV19 @ SV71 )
| ~ ( ord_less_real @ ( SV111 @ SV71 ) @ SY413 )
| ~ ! [SY414: real,SY415: real] :
( ~ ( ord_less_real @ SY414 @ SY415 )
| ( ord_less_real @ ( SV111 @ SY414 ) @ ( SV111 @ SY415 ) ) )
| ( ord_less_real @ ( SV111 @ SV19 ) @ SY413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(680,plain,
! [SV72: real,SV20: real] :
( ( ( ~ ( ord_less_real @ SV20 @ SV72 ) )
= $true )
| ( ( SV72 != SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(681,plain,
! [SV21: real] :
( ( ~ ( ord_less_real @ ( sK1_SY230 @ SV21 ) @ SV21 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[620]) ).
thf(682,plain,
! [SV112: real > real,SV73: real,SV22: real] :
( ( ! [SY416: real] :
( ~ ( ord_less_real @ SV22 @ SV73 )
| ( ( SV112 @ SV73 )
!= SY416 )
| ~ ! [SY417: real,SY418: real] :
( ~ ( ord_less_real @ SY417 @ SY418 )
| ( ord_less_real @ ( SV112 @ SY417 ) @ ( SV112 @ SY418 ) ) )
| ( ord_less_real @ ( SV112 @ SV22 ) @ SY416 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(683,plain,
! [SV74: real,SV23: real] :
( ( ( ~ ( ord_less_real @ SV23 @ SV74 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV74 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(684,plain,
! [SV75: real,SV24: real] :
( ( ( ~ ( ord_less_real @ SV24 @ SV75 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV75 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(685,plain,
! [SV25: real] :
( ( ~ ! [SY419: real] :
( ~ ( ord_less_real @ ( sK2_SY238 @ SV25 ) @ SY419 )
| ~ ( ord_less_eq_real @ SY419 @ SV25 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[624]) ).
thf(686,plain,
! [SV76: real,SV26: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ SV26 ) )
= $true )
| ( ( ~ ( ord_less_real @ zero_zero_real @ SV76 )
| ~ ! [SY351: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY351 )
| ~ ( ord_less_real @ SY351 @ SV26 ) )
| ~ ( ord_less_real @ SY351 @ SV76 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(687,plain,
! [SV113: real,SV77: real,SV27: real] :
( ( ( SV27 != SV77 )
| ~ ( ord_less_real @ SV77 @ SV113 )
| ( ord_less_real @ SV27 @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(688,plain,
! [SV78: real,SV28: real] :
( ( ~ ( ( SV28 != SV78 )
| ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) )
| ~ ( ~ ( ( SV28 != SV78 ) )
| ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[627]) ).
thf(689,plain,
! [SV78: real,SV28: real] :
( ( ( SV28 != SV78 )
= ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[627]) ).
thf(690,plain,
! [SV29: real] :
( ( ~ ! [SY420: real] :
( ~ ( ord_less_real @ ( sK3_SY245 @ SV29 ) @ SY420 )
| ( ord_less_eq_real @ SV29 @ SY420 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[628]) ).
thf(691,plain,
! [SV79: real,SV30: real] :
( ( ( ~ ( ord_less_real @ SV30 @ SV79 ) )
= $true )
| ( ( SV79 != SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(692,plain,
! [SV114: real > nat,SV80: real,SV31: real] :
( ( ! [SY421: nat] :
( ~ ( ord_less_real @ SV31 @ SV80 )
| ( ( SV114 @ SV80 )
!= SY421 )
| ~ ! [SY422: real,SY423: real] :
( ~ ( ord_less_real @ SY422 @ SY423 )
| ( ord_less_nat @ ( SV114 @ SY422 ) @ ( SV114 @ SY423 ) ) )
| ( ord_less_nat @ ( SV114 @ SV31 ) @ SY421 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(693,plain,
! [SV115: nat > real,SV81: nat,SV32: nat] :
( ( ! [SY424: real] :
( ~ ( ord_less_nat @ SV32 @ SV81 )
| ( ( SV115 @ SV81 )
!= SY424 )
| ~ ! [SY425: nat,SY426: nat] :
( ~ ( ord_less_nat @ SY425 @ SY426 )
| ( ord_less_real @ ( SV115 @ SY425 ) @ ( SV115 @ SY426 ) ) )
| ( ord_less_real @ ( SV115 @ SV32 ) @ SY424 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(694,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(695,plain,
! [SV83: poly_real] :
( ( ~ ( ( rsquarefree_real @ SV83 )
| ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) )
| ~ ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[633]) ).
thf(696,plain,
! [SV83: poly_real] :
( ( ( rsquarefree_real @ SV83 )
= ( ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[633]) ).
thf(697,plain,
! [SV117: nat,SV84: nat > real,SV35: real] :
( ( ! [SY430: nat] :
( ( SV35
!= ( SV84 @ SV117 ) )
| ~ ( ord_less_nat @ SV117 @ SY430 )
| ~ ! [SY368: nat,SY369: nat] :
( ~ ( ord_less_nat @ SY368 @ SY369 )
| ( ord_less_real @ ( SV84 @ SY368 ) @ ( SV84 @ SY369 ) ) )
| ( ord_less_real @ SV35 @ ( SV84 @ SY430 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(698,plain,
! [SV118: real,SV85: real > nat,SV36: nat] :
( ( ! [SY433: real] :
( ( SV36
!= ( SV85 @ SV118 ) )
| ~ ( ord_less_real @ SV118 @ SY433 )
| ~ ! [SY372: real,SY373: real] :
( ~ ( ord_less_real @ SY372 @ SY373 )
| ( ord_less_nat @ ( SV85 @ SY372 ) @ ( SV85 @ SY373 ) ) )
| ( ord_less_nat @ SV36 @ ( SV85 @ SY433 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(699,plain,
! [SV119: real,SV86: real,SV37: real] :
( ( ~ ( ord_less_real @ SV37 @ SV86 )
| ~ ( ord_less_real @ SV86 @ SV119 )
| ( ord_less_real @ SV37 @ SV119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(700,plain,
! [SV120: real,SV87: real,SV38: real] :
( ( ~ ( ord_less_real @ SV38 @ SV87 )
| ( SV87 != SV120 )
| ( ord_less_real @ SV38 @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(701,plain,
! [SV88: real,SV39: real] :
( ( ( ~ ( ord_less_real @ SV39 @ SV88 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV88 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(702,plain,
! [SV89: real,SV40: real] :
( ( ( ~ ( ( SV40 != SV89 ) ) )
= $true )
| ( ( ~ ~ ( ord_less_real @ SV40 @ SV89 )
| ( ord_less_real @ SV89 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(703,plain,
! [SV121: $o,SV90: real,SV41: real] :
( ( ~ ( ord_less_real @ SV41 @ SV90 )
| ~ ( ord_less_real @ SV90 @ SV41 )
| SV121 )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[640]) ).
thf(704,plain,
! [SV90: real,SV41: real] :
( ( ~ ( ord_less_real @ SV41 @ SV90 )
| ~ ( ord_less_real @ SV90 @ SV41 )
| $true )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[640]) ).
thf(705,plain,
! [SV90: real,SV41: real] :
( ( ~ ( ord_less_real @ SV41 @ SV90 )
| ~ ( ord_less_real @ SV90 @ SV41 )
| $false )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[640]) ).
thf(706,plain,
! [SV91: real,SV42: real] :
( ( ( ~ ( ord_less_real @ SV42 @ SV91 ) )
= $true )
| ( ( ~ ! [SY377: real] :
~ ~ ( ~ ( ord_less_real @ SV42 @ SY377 )
| ~ ( ord_less_real @ SY377 @ SV91 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(707,plain,
! [SV122: real,SV92: real,SV43: real] :
( ( ~ ( ord_less_real @ SV43 @ SV92 )
| ~ ( ord_less_real @ SV92 @ SV122 )
| ( ord_less_real @ SV43 @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(708,plain,
! [SV123: poly_real,SV93: real,SV44: real] :
( ( ~ ( ord_less_real @ SV44 @ SV93 )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
| ~ ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
| ~ ! [SY436: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV44 @ SY436 )
| ~ ( ord_less_real @ SY436 @ SV93 ) )
| ( ( poly_real2 @ SV123 @ SY436 )
!= zero_zero_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(709,plain,
! [SV124: poly_real,SV94: real,SV45: real] :
( ( ~ ( ord_less_real @ SV45 @ SV94 )
| ~ ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
| ~ ! [SY437: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV45 @ SY437 )
| ~ ( ord_less_real @ SY437 @ SV94 ) )
| ( ( poly_real2 @ SV124 @ SY437 )
!= zero_zero_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(710,plain,
! [SV125: real,SV95: real > real,SV46: real] :
( ( ! [SY438: real] :
( ( SV46
!= ( SV95 @ SV125 ) )
| ~ ( ord_less_real @ SV125 @ SY438 )
| ~ ! [SY385: real,SY386: real] :
( ~ ( ord_less_real @ SY385 @ SY386 )
| ( ord_less_real @ ( SV95 @ SY385 ) @ ( SV95 @ SY386 ) ) )
| ( ord_less_real @ SV46 @ ( SV95 @ SY438 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(711,plain,
! [SV126: real,SV96: real > real,SV47: real] :
( ( ! [SY441: real] :
( ~ ( ord_less_real @ SV47 @ ( SV96 @ SV126 ) )
| ~ ( ord_less_real @ SV126 @ SY441 )
| ~ ! [SY389: real,SY390: real] :
( ~ ( ord_less_real @ SY389 @ SY390 )
| ( ord_less_real @ ( SV96 @ SY389 ) @ ( SV96 @ SY390 ) ) )
| ( ord_less_real @ SV47 @ ( SV96 @ SY441 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(712,plain,
! [SV97: real,SV48: real] :
( ( ( ~ ~ ( ord_less_real @ SV48 @ SV97 ) )
= $true )
| ( ( ~ ( ( SV48 != SV97 ) )
| ( ord_less_real @ SV97 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(713,plain,
! [SV127: real,SV98: real,SV49: real] :
( ( ~ ( ord_less_real @ SV49 @ SV98 )
| ~ ( ord_less_real @ SV127 @ SV49 )
| ( ord_less_real @ SV127 @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(714,plain,
! [SV99: real,SV50: real] :
( ( ( ~ ( ord_less_real @ SV50 @ SV99 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV99 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(715,plain,
( ( ~ ( ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
| ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[651]) ).
thf(716,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
= ( ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[651]) ).
thf(717,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(718,plain,
! [SV101: real,SV52: real] :
( ( ( ~ ( ord_less_real @ SV52 @ SV101 ) )
= $true )
| ( ( SV52 != SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(719,plain,
! [SV53: real] :
( ( ~ ! [SY447: real] :
( ~ ( ord_less_real @ SY447 @ ( sK4_SY312 @ SV53 ) )
| ( ord_less_eq_real @ SY447 @ SV53 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[655]) ).
thf(720,plain,
! [SV54: real] :
( ( ~ ! [SY448: real] :
( ~ ( ord_less_real @ SY448 @ ( sK5_SY314 @ SV54 ) )
| ~ ( ord_less_eq_real @ SV54 @ SY448 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[656]) ).
thf(721,plain,
! [SV102: real,SV55: real] :
( ( ( ~ ~ ( ord_less_real @ SV55 @ SV102 ) )
= $true )
| ( ( ( ~ ( ord_less_real @ SV102 @ SV55 ) )
= ( SV102 = SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(722,plain,
! [SV56: real] :
( ( ~ ( ord_less_real @ SV56 @ ( sK6_SY317 @ SV56 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[658]) ).
thf(723,plain,
! [SV103: real,SV57: real] :
( ( ( ~ ( ord_less_real @ SV57 @ SV103 ) )
= $true )
| ( ( SV57 != SV103 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(724,plain,
! [SV104: real,SV58: real] :
( ( ( ~ ( ord_less_real @ SV58 @ SV104 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV104 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(725,plain,
! [SV2: poly_real] :
( ( ( ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real )
| ( SV2 = zero_zero_poly_real ) )
= $false )
| ( ( ~ ( ~ ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(726,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)],[662]) ).
thf(727,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ~ ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
| ( SV4 = SV59 ) ) )
= $true )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
| ( SV4 != SV59 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(728,plain,
! [SV129: real,SV60: real] :
( ( ( ord_less_eq_real @ SV60 @ SV129 )
= ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(729,plain,
! [SV61: real,SV6: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV6 @ SV61 )
| ( ord_less_real @ SV61 @ SV6 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV6 @ SV61 )
| ~ ( ord_less_real @ SV61 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(730,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV7 @ SV62 )
| ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV7 @ SV62 )
| ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(731,plain,
! [SV63: real,SV10: real] :
( ( ( ord_less_real @ SV10 @ SV63 )
= $true )
| ( ( SV10 = SV63 )
= $true )
| ( ( ord_less_real @ SV63 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(732,plain,
! [SV64: real,SV12: real] :
( ( ( ord_less_real @ SV12 @ SV64 )
= $false )
| ( ( SV12 != SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(733,plain,
! [SV130: real,SV106: nat > real,SV65: nat,SV13: nat] :
( ( ~ ( ord_less_nat @ SV13 @ SV65 )
| ~ ( ord_less_real @ ( SV106 @ SV65 ) @ SV130 )
| ~ ! [SY397: nat,SY398: nat] :
( ~ ( ord_less_nat @ SY397 @ SY398 )
| ( ord_less_real @ ( SV106 @ SY397 ) @ ( SV106 @ SY398 ) ) )
| ( ord_less_real @ ( SV106 @ SV13 ) @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(734,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ~ ! [SY203: real,SY204: real] :
( ~ ( ord_less_real @ SY203 @ SY204 )
| ( SV14 @ SY203 @ SY204 ) ) )
= $true )
| ( ( ~ ! [SY205: real] : ( SV14 @ SY205 @ SY205 )
| ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(735,plain,
! [SV67: real,SV15: real] :
( ( ( ord_less_real @ SV15 @ SV67 )
= $false )
| ( ( ~ ( ord_less_real @ SV67 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(736,plain,
! [SV131: nat,SV108: real > nat,SV68: real,SV16: real] :
( ( ~ ( ord_less_real @ SV16 @ SV68 )
| ~ ( ord_less_nat @ ( SV108 @ SV68 ) @ SV131 )
| ~ ! [SY405: real,SY406: real] :
( ~ ( ord_less_real @ SY405 @ SY406 )
| ( ord_less_nat @ ( SV108 @ SY405 ) @ ( SV108 @ SY406 ) ) )
| ( ord_less_nat @ ( SV108 @ SV16 ) @ SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(737,plain,
! [SV132: nat,SV109: nat,SV69: nat > real,SV17: real] :
( ( ~ ( ord_less_real @ SV17 @ ( SV69 @ SV109 ) )
| ~ ( ord_less_nat @ SV109 @ SV132 )
| ~ ! [SY337: nat,SY338: nat] :
( ~ ( ord_less_nat @ SY337 @ SY338 )
| ( ord_less_real @ ( SV69 @ SY337 ) @ ( SV69 @ SY338 ) ) )
| ( ord_less_real @ SV17 @ ( SV69 @ SV132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(738,plain,
! [SV133: real,SV110: real,SV70: real > nat,SV18: nat] :
( ( ~ ( ord_less_nat @ SV18 @ ( SV70 @ SV110 ) )
| ~ ( ord_less_real @ SV110 @ SV133 )
| ~ ! [SY341: real,SY342: real] :
( ~ ( ord_less_real @ SY341 @ SY342 )
| ( ord_less_nat @ ( SV70 @ SY341 ) @ ( SV70 @ SY342 ) ) )
| ( ord_less_nat @ SV18 @ ( SV70 @ SV133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(739,plain,
! [SV134: real,SV111: real > real,SV71: real,SV19: real] :
( ( ~ ( ord_less_real @ SV19 @ SV71 )
| ~ ( ord_less_real @ ( SV111 @ SV71 ) @ SV134 )
| ~ ! [SY414: real,SY415: real] :
( ~ ( ord_less_real @ SY414 @ SY415 )
| ( ord_less_real @ ( SV111 @ SY414 ) @ ( SV111 @ SY415 ) ) )
| ( ord_less_real @ ( SV111 @ SV19 ) @ SV134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(740,plain,
! [SV72: real,SV20: real] :
( ( ( ord_less_real @ SV20 @ SV72 )
= $false )
| ( ( SV72 != SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(741,plain,
! [SV21: real] :
( ( ord_less_real @ ( sK1_SY230 @ SV21 ) @ SV21 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[681]) ).
thf(742,plain,
! [SV135: real,SV112: real > real,SV73: real,SV22: real] :
( ( ~ ( ord_less_real @ SV22 @ SV73 )
| ( ( SV112 @ SV73 )
!= SV135 )
| ~ ! [SY417: real,SY418: real] :
( ~ ( ord_less_real @ SY417 @ SY418 )
| ( ord_less_real @ ( SV112 @ SY417 ) @ ( SV112 @ SY418 ) ) )
| ( ord_less_real @ ( SV112 @ SV22 ) @ SV135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(743,plain,
! [SV74: real,SV23: real] :
( ( ( ord_less_real @ SV23 @ SV74 )
= $false )
| ( ( ~ ( ord_less_real @ SV74 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(744,plain,
! [SV75: real,SV24: real] :
( ( ( ord_less_real @ SV24 @ SV75 )
= $false )
| ( ( ~ ( ord_less_real @ SV75 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(745,plain,
! [SV25: real] :
( ( ! [SY419: real] :
( ~ ( ord_less_real @ ( sK2_SY238 @ SV25 ) @ SY419 )
| ~ ( ord_less_eq_real @ SY419 @ SV25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(746,plain,
! [SV76: real,SV26: real] :
( ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false )
| ( ( ~ ( ord_less_real @ zero_zero_real @ SV76 )
| ~ ! [SY351: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY351 )
| ~ ( ord_less_real @ SY351 @ SV26 ) )
| ~ ( ord_less_real @ SY351 @ SV76 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(747,plain,
! [SV113: real,SV77: real,SV27: real] :
( ( ( SV27 != SV77 )
= $true )
| ( ( ~ ( ord_less_real @ SV77 @ SV113 )
| ( ord_less_real @ SV27 @ SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(748,plain,
! [SV78: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV78 )
| ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV28 != SV78 ) )
| ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(749,plain,
! [SV29: real] :
( ( ! [SY420: real] :
( ~ ( ord_less_real @ ( sK3_SY245 @ SV29 ) @ SY420 )
| ( ord_less_eq_real @ SV29 @ SY420 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(750,plain,
! [SV79: real,SV30: real] :
( ( ( ord_less_real @ SV30 @ SV79 )
= $false )
| ( ( SV79 != SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(751,plain,
! [SV136: nat,SV114: real > nat,SV80: real,SV31: real] :
( ( ~ ( ord_less_real @ SV31 @ SV80 )
| ( ( SV114 @ SV80 )
!= SV136 )
| ~ ! [SY422: real,SY423: real] :
( ~ ( ord_less_real @ SY422 @ SY423 )
| ( ord_less_nat @ ( SV114 @ SY422 ) @ ( SV114 @ SY423 ) ) )
| ( ord_less_nat @ ( SV114 @ SV31 ) @ SV136 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(752,plain,
! [SV137: real,SV115: nat > real,SV81: nat,SV32: nat] :
( ( ~ ( ord_less_nat @ SV32 @ SV81 )
| ( ( SV115 @ SV81 )
!= SV137 )
| ~ ! [SY425: nat,SY426: nat] :
( ~ ( ord_less_nat @ SY425 @ SY426 )
| ( ord_less_real @ ( SV115 @ SY425 ) @ ( SV115 @ SY426 ) ) )
| ( ord_less_real @ ( SV115 @ SV32 ) @ SV137 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(753,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ~ ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
| ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[694]) ).
thf(754,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[694]) ).
thf(755,plain,
! [SV83: poly_real] :
( ( ( ~ ( ( rsquarefree_real @ SV83 )
| ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true )
| ( ( ~ ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[695]) ).
thf(756,plain,
! [SV138: nat,SV117: nat,SV84: nat > real,SV35: real] :
( ( ( SV35
!= ( SV84 @ SV117 ) )
| ~ ( ord_less_nat @ SV117 @ SV138 )
| ~ ! [SY368: nat,SY369: nat] :
( ~ ( ord_less_nat @ SY368 @ SY369 )
| ( ord_less_real @ ( SV84 @ SY368 ) @ ( SV84 @ SY369 ) ) )
| ( ord_less_real @ SV35 @ ( SV84 @ SV138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(757,plain,
! [SV139: real,SV118: real,SV85: real > nat,SV36: nat] :
( ( ( SV36
!= ( SV85 @ SV118 ) )
| ~ ( ord_less_real @ SV118 @ SV139 )
| ~ ! [SY372: real,SY373: real] :
( ~ ( ord_less_real @ SY372 @ SY373 )
| ( ord_less_nat @ ( SV85 @ SY372 ) @ ( SV85 @ SY373 ) ) )
| ( ord_less_nat @ SV36 @ ( SV85 @ SV139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(758,plain,
! [SV119: real,SV86: real,SV37: real] :
( ( ( ~ ( ord_less_real @ SV37 @ SV86 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV86 @ SV119 )
| ( ord_less_real @ SV37 @ SV119 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(759,plain,
! [SV120: real,SV87: real,SV38: real] :
( ( ( ~ ( ord_less_real @ SV38 @ SV87 ) )
= $true )
| ( ( ( SV87 != SV120 )
| ( ord_less_real @ SV38 @ SV120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(760,plain,
! [SV88: real,SV39: real] :
( ( ( ord_less_real @ SV39 @ SV88 )
= $false )
| ( ( ~ ( ord_less_real @ SV88 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(761,plain,
! [SV89: real,SV40: real] :
( ( ( SV40 != SV89 )
= $false )
| ( ( ~ ~ ( ord_less_real @ SV40 @ SV89 )
| ( ord_less_real @ SV89 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(762,plain,
! [SV121: $o,SV90: real,SV41: real] :
( ( ( ~ ( ord_less_real @ SV41 @ SV90 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV90 @ SV41 )
| SV121 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(763,plain,
! [SV90: real,SV41: real] :
( ( ( ~ ( ord_less_real @ SV41 @ SV90 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV90 @ SV41 )
| $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(764,plain,
! [SV90: real,SV41: real] :
( ( ( ~ ( ord_less_real @ SV41 @ SV90 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV90 @ SV41 )
| $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(765,plain,
! [SV91: real,SV42: real] :
( ( ( ord_less_real @ SV42 @ SV91 )
= $false )
| ( ( ~ ! [SY377: real] :
~ ~ ( ~ ( ord_less_real @ SV42 @ SY377 )
| ~ ( ord_less_real @ SY377 @ SV91 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(766,plain,
! [SV122: real,SV92: real,SV43: real] :
( ( ( ~ ( ord_less_real @ SV43 @ SV92 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV92 @ SV122 )
| ( ord_less_real @ SV43 @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(767,plain,
! [SV123: poly_real,SV93: real,SV44: real] :
( ( ( ~ ( ord_less_real @ SV44 @ SV93 ) )
= $true )
| ( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
| ~ ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
| ~ ! [SY436: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV44 @ SY436 )
| ~ ( ord_less_real @ SY436 @ SV93 ) )
| ( ( poly_real2 @ SV123 @ SY436 )
!= zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(768,plain,
! [SV124: poly_real,SV94: real,SV45: real] :
( ( ( ~ ( ord_less_real @ SV45 @ SV94 ) )
= $true )
| ( ( ~ ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
| ~ ! [SY437: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV45 @ SY437 )
| ~ ( ord_less_real @ SY437 @ SV94 ) )
| ( ( poly_real2 @ SV124 @ SY437 )
!= zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(769,plain,
! [SV140: real,SV125: real,SV95: real > real,SV46: real] :
( ( ( SV46
!= ( SV95 @ SV125 ) )
| ~ ( ord_less_real @ SV125 @ SV140 )
| ~ ! [SY385: real,SY386: real] :
( ~ ( ord_less_real @ SY385 @ SY386 )
| ( ord_less_real @ ( SV95 @ SY385 ) @ ( SV95 @ SY386 ) ) )
| ( ord_less_real @ SV46 @ ( SV95 @ SV140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(770,plain,
! [SV141: real,SV126: real,SV96: real > real,SV47: real] :
( ( ~ ( ord_less_real @ SV47 @ ( SV96 @ SV126 ) )
| ~ ( ord_less_real @ SV126 @ SV141 )
| ~ ! [SY389: real,SY390: real] :
( ~ ( ord_less_real @ SY389 @ SY390 )
| ( ord_less_real @ ( SV96 @ SY389 ) @ ( SV96 @ SY390 ) ) )
| ( ord_less_real @ SV47 @ ( SV96 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(771,plain,
! [SV97: real,SV48: real] :
( ( ( ~ ( ord_less_real @ SV48 @ SV97 ) )
= $false )
| ( ( ~ ( ( SV48 != SV97 ) )
| ( ord_less_real @ SV97 @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(772,plain,
! [SV127: real,SV98: real,SV49: real] :
( ( ( ~ ( ord_less_real @ SV49 @ SV98 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV127 @ SV49 )
| ( ord_less_real @ SV127 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(773,plain,
! [SV99: real,SV50: real] :
( ( ( ord_less_real @ SV50 @ SV99 )
= $false )
| ( ( ~ ( ord_less_real @ SV99 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(774,plain,
( ( ( ~ ( ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(775,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ~ ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
| ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[717]) ).
thf(776,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[717]) ).
thf(777,plain,
! [SV101: real,SV52: real] :
( ( ( ord_less_real @ SV52 @ SV101 )
= $false )
| ( ( SV52 != SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(778,plain,
! [SV53: real] :
( ( ! [SY447: real] :
( ~ ( ord_less_real @ SY447 @ ( sK4_SY312 @ SV53 ) )
| ( ord_less_eq_real @ SY447 @ SV53 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(779,plain,
! [SV54: real] :
( ( ! [SY448: real] :
( ~ ( ord_less_real @ SY448 @ ( sK5_SY314 @ SV54 ) )
| ~ ( ord_less_eq_real @ SV54 @ SY448 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(780,plain,
! [SV102: real,SV55: real] :
( ( ( ~ ( ord_less_real @ SV55 @ SV102 ) )
= $false )
| ( ( ( ~ ( ord_less_real @ SV102 @ SV55 ) )
= ( SV102 = SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(781,plain,
! [SV56: real] :
( ( ord_less_real @ SV56 @ ( sK6_SY317 @ SV56 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[722]) ).
thf(782,plain,
! [SV103: real,SV57: real] :
( ( ( ord_less_real @ SV57 @ SV103 )
= $false )
| ( ( SV57 != SV103 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(783,plain,
! [SV104: real,SV58: real] :
( ( ( ord_less_real @ SV58 @ SV104 )
= $false )
| ( ( ~ ( ord_less_real @ SV104 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(784,plain,
! [SV2: poly_real] :
( ( ( ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(785,plain,
! [SV2: poly_real] :
( ( ( SV2 = zero_zero_poly_real )
= $false )
| ( ( ~ ( ~ ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(786,plain,
! [SV3: real] :
( ( ( zero_zero_real = SV3 )
= $false )
| ( ( ~ ( ( zero_zero_real != SV3 )
| ( SV3 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(787,plain,
! [SV3: real] :
( ( ( SV3 = zero_zero_real )
= $false )
| ( ( ~ ( ( zero_zero_real != SV3 )
| ( SV3 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(788,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
| ( SV4 = SV59 ) )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
| ( SV4 != SV59 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(789,plain,
! [SV129: real,SV60: real] :
( ( ~ ( ( ord_less_eq_real @ SV60 @ SV129 )
| ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) )
| ~ ( ~ ( ord_less_eq_real @ SV60 @ SV129 )
| ~ ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[728]) ).
thf(790,plain,
! [SV129: real,SV60: real] :
( ( ( ord_less_eq_real @ SV60 @ SV129 )
= ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[728]) ).
thf(791,plain,
! [SV61: real,SV6: real] :
( ( ( ~ ( ord_less_eq_real @ SV6 @ SV61 )
| ( ord_less_real @ SV61 @ SV6 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV6 @ SV61 )
| ~ ( ord_less_real @ SV61 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(792,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ( ord_less_real @ SV7 @ SV62 )
| ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV7 @ SV62 )
| ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(793,plain,
! [SV64: real,SV12: real] :
( ( ( SV12 = SV64 )
= $false )
| ( ( ord_less_real @ SV12 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(794,plain,
! [SV130: real,SV106: nat > real,SV65: nat,SV13: nat] :
( ( ( ~ ( ord_less_nat @ SV13 @ SV65 ) )
= $true )
| ( ( ~ ( ord_less_real @ ( SV106 @ SV65 ) @ SV130 )
| ~ ! [SY397: nat,SY398: nat] :
( ~ ( ord_less_nat @ SY397 @ SY398 )
| ( ord_less_real @ ( SV106 @ SY397 ) @ ( SV106 @ SY398 ) ) )
| ( ord_less_real @ ( SV106 @ SV13 ) @ SV130 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(795,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ! [SY203: real,SY204: real] :
( ~ ( ord_less_real @ SY203 @ SY204 )
| ( SV14 @ SY203 @ SY204 ) ) )
= $false )
| ( ( ~ ! [SY205: real] : ( SV14 @ SY205 @ SY205 )
| ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(796,plain,
! [SV15: real,SV67: real] :
( ( ( ord_less_real @ SV67 @ SV15 )
= $false )
| ( ( ord_less_real @ SV15 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(797,plain,
! [SV131: nat,SV108: real > nat,SV68: real,SV16: real] :
( ( ( ~ ( ord_less_real @ SV16 @ SV68 ) )
= $true )
| ( ( ~ ( ord_less_nat @ ( SV108 @ SV68 ) @ SV131 )
| ~ ! [SY405: real,SY406: real] :
( ~ ( ord_less_real @ SY405 @ SY406 )
| ( ord_less_nat @ ( SV108 @ SY405 ) @ ( SV108 @ SY406 ) ) )
| ( ord_less_nat @ ( SV108 @ SV16 ) @ SV131 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(798,plain,
! [SV132: nat,SV109: nat,SV69: nat > real,SV17: real] :
( ( ( ~ ( ord_less_real @ SV17 @ ( SV69 @ SV109 ) ) )
= $true )
| ( ( ~ ( ord_less_nat @ SV109 @ SV132 )
| ~ ! [SY337: nat,SY338: nat] :
( ~ ( ord_less_nat @ SY337 @ SY338 )
| ( ord_less_real @ ( SV69 @ SY337 ) @ ( SV69 @ SY338 ) ) )
| ( ord_less_real @ SV17 @ ( SV69 @ SV132 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(799,plain,
! [SV133: real,SV110: real,SV70: real > nat,SV18: nat] :
( ( ( ~ ( ord_less_nat @ SV18 @ ( SV70 @ SV110 ) ) )
= $true )
| ( ( ~ ( ord_less_real @ SV110 @ SV133 )
| ~ ! [SY341: real,SY342: real] :
( ~ ( ord_less_real @ SY341 @ SY342 )
| ( ord_less_nat @ ( SV70 @ SY341 ) @ ( SV70 @ SY342 ) ) )
| ( ord_less_nat @ SV18 @ ( SV70 @ SV133 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[738]) ).
thf(800,plain,
! [SV134: real,SV111: real > real,SV71: real,SV19: real] :
( ( ( ~ ( ord_less_real @ SV19 @ SV71 ) )
= $true )
| ( ( ~ ( ord_less_real @ ( SV111 @ SV71 ) @ SV134 )
| ~ ! [SY414: real,SY415: real] :
( ~ ( ord_less_real @ SY414 @ SY415 )
| ( ord_less_real @ ( SV111 @ SY414 ) @ ( SV111 @ SY415 ) ) )
| ( ord_less_real @ ( SV111 @ SV19 ) @ SV134 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[739]) ).
thf(801,plain,
! [SV20: real,SV72: real] :
( ( ( SV72 = SV20 )
= $false )
| ( ( ord_less_real @ SV20 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(802,plain,
! [SV135: real,SV112: real > real,SV73: real,SV22: real] :
( ( ( ~ ( ord_less_real @ SV22 @ SV73 ) )
= $true )
| ( ( ( ( SV112 @ SV73 )
!= SV135 )
| ~ ! [SY417: real,SY418: real] :
( ~ ( ord_less_real @ SY417 @ SY418 )
| ( ord_less_real @ ( SV112 @ SY417 ) @ ( SV112 @ SY418 ) ) )
| ( ord_less_real @ ( SV112 @ SV22 ) @ SV135 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(803,plain,
! [SV23: real,SV74: real] :
( ( ( ord_less_real @ SV74 @ SV23 )
= $false )
| ( ( ord_less_real @ SV23 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(804,plain,
! [SV24: real,SV75: real] :
( ( ( ord_less_real @ SV75 @ SV24 )
= $false )
| ( ( ord_less_real @ SV24 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(805,plain,
! [SV142: real,SV25: real] :
( ( ~ ( ord_less_real @ ( sK2_SY238 @ SV25 ) @ SV142 )
| ~ ( ord_less_eq_real @ SV142 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(806,plain,
! [SV26: real,SV76: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ SV76 ) )
= $true )
| ( ( ~ ! [SY351: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY351 )
| ~ ( ord_less_real @ SY351 @ SV26 ) )
| ~ ( ord_less_real @ SY351 @ SV76 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(807,plain,
! [SV113: real,SV77: real,SV27: real] :
( ( ( SV27 = SV77 )
= $false )
| ( ( ~ ( ord_less_real @ SV77 @ SV113 )
| ( ord_less_real @ SV27 @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(808,plain,
! [SV78: real,SV28: real] :
( ( ( ( SV28 != SV78 )
| ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ( SV28 != SV78 ) )
| ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(809,plain,
! [SV143: real,SV29: real] :
( ( ~ ( ord_less_real @ ( sK3_SY245 @ SV29 ) @ SV143 )
| ( ord_less_eq_real @ SV29 @ SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(810,plain,
! [SV30: real,SV79: real] :
( ( ( SV79 = SV30 )
= $false )
| ( ( ord_less_real @ SV30 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(811,plain,
! [SV136: nat,SV114: real > nat,SV80: real,SV31: real] :
( ( ( ~ ( ord_less_real @ SV31 @ SV80 ) )
= $true )
| ( ( ( ( SV114 @ SV80 )
!= SV136 )
| ~ ! [SY422: real,SY423: real] :
( ~ ( ord_less_real @ SY422 @ SY423 )
| ( ord_less_nat @ ( SV114 @ SY422 ) @ ( SV114 @ SY423 ) ) )
| ( ord_less_nat @ ( SV114 @ SV31 ) @ SV136 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[751]) ).
thf(812,plain,
! [SV137: real,SV115: nat > real,SV81: nat,SV32: nat] :
( ( ( ~ ( ord_less_nat @ SV32 @ SV81 ) )
= $true )
| ( ( ( ( SV115 @ SV81 )
!= SV137 )
| ~ ! [SY425: nat,SY426: nat] :
( ~ ( ord_less_nat @ SY425 @ SY426 )
| ( ord_less_real @ ( SV115 @ SY425 ) @ ( SV115 @ SY426 ) ) )
| ( ord_less_real @ ( SV115 @ SV32 ) @ SV137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(813,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(814,plain,
! [SV83: poly_real] :
( ( ( ( rsquarefree_real @ SV83 )
| ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(815,plain,
! [SV138: nat,SV117: nat,SV84: nat > real,SV35: real] :
( ( ( SV35
!= ( SV84 @ SV117 ) )
= $true )
| ( ( ~ ( ord_less_nat @ SV117 @ SV138 )
| ~ ! [SY368: nat,SY369: nat] :
( ~ ( ord_less_nat @ SY368 @ SY369 )
| ( ord_less_real @ ( SV84 @ SY368 ) @ ( SV84 @ SY369 ) ) )
| ( ord_less_real @ SV35 @ ( SV84 @ SV138 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(816,plain,
! [SV139: real,SV118: real,SV85: real > nat,SV36: nat] :
( ( ( SV36
!= ( SV85 @ SV118 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV118 @ SV139 )
| ~ ! [SY372: real,SY373: real] :
( ~ ( ord_less_real @ SY372 @ SY373 )
| ( ord_less_nat @ ( SV85 @ SY372 ) @ ( SV85 @ SY373 ) ) )
| ( ord_less_nat @ SV36 @ ( SV85 @ SV139 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[757]) ).
thf(817,plain,
! [SV119: real,SV86: real,SV37: real] :
( ( ( ord_less_real @ SV37 @ SV86 )
= $false )
| ( ( ~ ( ord_less_real @ SV86 @ SV119 )
| ( ord_less_real @ SV37 @ SV119 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(818,plain,
! [SV120: real,SV87: real,SV38: real] :
( ( ( ord_less_real @ SV38 @ SV87 )
= $false )
| ( ( ( SV87 != SV120 )
| ( ord_less_real @ SV38 @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(819,plain,
! [SV39: real,SV88: real] :
( ( ( ord_less_real @ SV88 @ SV39 )
= $false )
| ( ( ord_less_real @ SV39 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(820,plain,
! [SV89: real,SV40: real] :
( ( ( SV40 = SV89 )
= $true )
| ( ( ~ ~ ( ord_less_real @ SV40 @ SV89 )
| ( ord_less_real @ SV89 @ SV40 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(821,plain,
! [SV121: $o,SV90: real,SV41: real] :
( ( ( ord_less_real @ SV41 @ SV90 )
= $false )
| ( ( ~ ( ord_less_real @ SV90 @ SV41 )
| SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(822,plain,
! [SV90: real,SV41: real] :
( ( ( ord_less_real @ SV41 @ SV90 )
= $false )
| ( ( ~ ( ord_less_real @ SV90 @ SV41 )
| $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(823,plain,
! [SV90: real,SV41: real] :
( ( ( ord_less_real @ SV41 @ SV90 )
= $false )
| ( ( ~ ( ord_less_real @ SV90 @ SV41 )
| $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(824,plain,
! [SV91: real,SV42: real] :
( ( ( ! [SY377: real] :
~ ~ ( ~ ( ord_less_real @ SV42 @ SY377 )
| ~ ( ord_less_real @ SY377 @ SV91 ) ) )
= $false )
| ( ( ord_less_real @ SV42 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(825,plain,
! [SV122: real,SV92: real,SV43: real] :
( ( ( ord_less_real @ SV43 @ SV92 )
= $false )
| ( ( ~ ( ord_less_real @ SV92 @ SV122 )
| ( ord_less_real @ SV43 @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(826,plain,
! [SV123: poly_real,SV93: real,SV44: real] :
( ( ( ord_less_real @ SV44 @ SV93 )
= $false )
| ( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
| ~ ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
| ~ ! [SY436: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV44 @ SY436 )
| ~ ( ord_less_real @ SY436 @ SV93 ) )
| ( ( poly_real2 @ SV123 @ SY436 )
!= zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(827,plain,
! [SV124: poly_real,SV94: real,SV45: real] :
( ( ( ord_less_real @ SV45 @ SV94 )
= $false )
| ( ( ~ ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
| ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
| ~ ! [SY437: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV45 @ SY437 )
| ~ ( ord_less_real @ SY437 @ SV94 ) )
| ( ( poly_real2 @ SV124 @ SY437 )
!= zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(828,plain,
! [SV140: real,SV125: real,SV95: real > real,SV46: real] :
( ( ( SV46
!= ( SV95 @ SV125 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV125 @ SV140 )
| ~ ! [SY385: real,SY386: real] :
( ~ ( ord_less_real @ SY385 @ SY386 )
| ( ord_less_real @ ( SV95 @ SY385 ) @ ( SV95 @ SY386 ) ) )
| ( ord_less_real @ SV46 @ ( SV95 @ SV140 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(829,plain,
! [SV141: real,SV126: real,SV96: real > real,SV47: real] :
( ( ( ~ ( ord_less_real @ SV47 @ ( SV96 @ SV126 ) ) )
= $true )
| ( ( ~ ( ord_less_real @ SV126 @ SV141 )
| ~ ! [SY389: real,SY390: real] :
( ~ ( ord_less_real @ SY389 @ SY390 )
| ( ord_less_real @ ( SV96 @ SY389 ) @ ( SV96 @ SY390 ) ) )
| ( ord_less_real @ SV47 @ ( SV96 @ SV141 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(830,plain,
! [SV97: real,SV48: real] :
( ( ( ord_less_real @ SV48 @ SV97 )
= $true )
| ( ( ~ ( ( SV48 != SV97 ) )
| ( ord_less_real @ SV97 @ SV48 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(831,plain,
! [SV127: real,SV98: real,SV49: real] :
( ( ( ord_less_real @ SV49 @ SV98 )
= $false )
| ( ( ~ ( ord_less_real @ SV127 @ SV49 )
| ( ord_less_real @ SV127 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(832,plain,
! [SV50: real,SV99: real] :
( ( ( ord_less_real @ SV99 @ SV50 )
= $false )
| ( ( ord_less_real @ SV50 @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(833,plain,
( ( ( ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(834,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(835,plain,
! [SV101: real,SV52: real] :
( ( ( SV52 = SV101 )
= $false )
| ( ( ord_less_real @ SV52 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(836,plain,
! [SV53: real,SV144: real] :
( ( ~ ( ord_less_real @ SV144 @ ( sK4_SY312 @ SV53 ) )
| ( ord_less_eq_real @ SV144 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(837,plain,
! [SV54: real,SV145: real] :
( ( ~ ( ord_less_real @ SV145 @ ( sK5_SY314 @ SV54 ) )
| ~ ( ord_less_eq_real @ SV54 @ SV145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(838,plain,
! [SV102: real,SV55: real] :
( ( ( ord_less_real @ SV55 @ SV102 )
= $true )
| ( ( ( ~ ( ord_less_real @ SV102 @ SV55 ) )
= ( SV102 = SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(839,plain,
! [SV103: real,SV57: real] :
( ( ( SV57 = SV103 )
= $false )
| ( ( ord_less_real @ SV57 @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(840,plain,
! [SV58: real,SV104: real] :
( ( ( ord_less_real @ SV104 @ SV58 )
= $false )
| ( ( ord_less_real @ SV58 @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(841,plain,
! [SV2: poly_real] :
( ( ( ( poly_real2 @ SV2 @ ( sK7_SY189 @ SV2 ) )
= zero_zero_real )
= $false )
| ( ( ~ ( ~ ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[784]) ).
thf(842,plain,
! [SV2: poly_real] :
( ( ( ~ ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) )
= $false )
| ( ( SV2 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(843,plain,
! [SV3: real] :
( ( ( ( zero_zero_real != SV3 )
| ( SV3 != zero_zero_real ) )
= $false )
| ( ( zero_zero_real = SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(844,plain,
! [SV3: real] :
( ( ( ( zero_zero_real != SV3 )
| ( SV3 != zero_zero_real ) )
= $false )
| ( ( SV3 = zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(845,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
| ( SV4 != SV59 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[788]) ).
thf(846,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( SV4 = SV59 )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
| ( SV4 != SV59 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[788]) ).
thf(847,plain,
! [SV129: real,SV60: real] :
( ( ( ~ ( ( ord_less_eq_real @ SV60 @ SV129 )
| ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV60 @ SV129 )
| ~ ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(848,plain,
! [SV61: real,SV6: real] :
( ( ( ~ ( ord_less_eq_real @ SV6 @ SV61 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV6 @ SV61 )
| ~ ( ord_less_real @ SV61 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(849,plain,
! [SV6: real,SV61: real] :
( ( ( ord_less_real @ SV61 @ SV6 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV6 @ SV61 )
| ~ ( ord_less_real @ SV61 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(850,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ( ord_less_real @ SV7 @ SV62 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV7 @ SV62 )
| ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[792]) ).
thf(851,plain,
! [SV7: real,SV62: real] :
( ( ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV7 @ SV62 )
| ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[792]) ).
thf(852,plain,
! [SV130: real,SV106: nat > real,SV65: nat,SV13: nat] :
( ( ( ord_less_nat @ SV13 @ SV65 )
= $false )
| ( ( ~ ( ord_less_real @ ( SV106 @ SV65 ) @ SV130 )
| ~ ! [SY397: nat,SY398: nat] :
( ~ ( ord_less_nat @ SY397 @ SY398 )
| ( ord_less_real @ ( SV106 @ SY397 ) @ ( SV106 @ SY398 ) ) )
| ( ord_less_real @ ( SV106 @ SV13 ) @ SV130 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(853,plain,
! [SV14: real > real > $o,SV66: real,SV107: real] :
( ( ( ! [SY473: real] :
( ~ ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ SY473 )
| ( SV14 @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ SY473 ) ) )
= $false )
| ( ( ~ ! [SY205: real] : ( SV14 @ SY205 @ SY205 )
| ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[795]) ).
thf(854,plain,
! [SV131: nat,SV108: real > nat,SV68: real,SV16: real] :
( ( ( ord_less_real @ SV16 @ SV68 )
= $false )
| ( ( ~ ( ord_less_nat @ ( SV108 @ SV68 ) @ SV131 )
| ~ ! [SY405: real,SY406: real] :
( ~ ( ord_less_real @ SY405 @ SY406 )
| ( ord_less_nat @ ( SV108 @ SY405 ) @ ( SV108 @ SY406 ) ) )
| ( ord_less_nat @ ( SV108 @ SV16 ) @ SV131 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(855,plain,
! [SV132: nat,SV109: nat,SV69: nat > real,SV17: real] :
( ( ( ord_less_real @ SV17 @ ( SV69 @ SV109 ) )
= $false )
| ( ( ~ ( ord_less_nat @ SV109 @ SV132 )
| ~ ! [SY337: nat,SY338: nat] :
( ~ ( ord_less_nat @ SY337 @ SY338 )
| ( ord_less_real @ ( SV69 @ SY337 ) @ ( SV69 @ SY338 ) ) )
| ( ord_less_real @ SV17 @ ( SV69 @ SV132 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(856,plain,
! [SV133: real,SV110: real,SV70: real > nat,SV18: nat] :
( ( ( ord_less_nat @ SV18 @ ( SV70 @ SV110 ) )
= $false )
| ( ( ~ ( ord_less_real @ SV110 @ SV133 )
| ~ ! [SY341: real,SY342: real] :
( ~ ( ord_less_real @ SY341 @ SY342 )
| ( ord_less_nat @ ( SV70 @ SY341 ) @ ( SV70 @ SY342 ) ) )
| ( ord_less_nat @ SV18 @ ( SV70 @ SV133 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(857,plain,
! [SV134: real,SV111: real > real,SV71: real,SV19: real] :
( ( ( ord_less_real @ SV19 @ SV71 )
= $false )
| ( ( ~ ( ord_less_real @ ( SV111 @ SV71 ) @ SV134 )
| ~ ! [SY414: real,SY415: real] :
( ~ ( ord_less_real @ SY414 @ SY415 )
| ( ord_less_real @ ( SV111 @ SY414 ) @ ( SV111 @ SY415 ) ) )
| ( ord_less_real @ ( SV111 @ SV19 ) @ SV134 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(858,plain,
! [SV135: real,SV112: real > real,SV73: real,SV22: real] :
( ( ( ord_less_real @ SV22 @ SV73 )
= $false )
| ( ( ( ( SV112 @ SV73 )
!= SV135 )
| ~ ! [SY417: real,SY418: real] :
( ~ ( ord_less_real @ SY417 @ SY418 )
| ( ord_less_real @ ( SV112 @ SY417 ) @ ( SV112 @ SY418 ) ) )
| ( ord_less_real @ ( SV112 @ SV22 ) @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(859,plain,
! [SV142: real,SV25: real] :
( ( ( ~ ( ord_less_real @ ( sK2_SY238 @ SV25 ) @ SV142 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV142 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(860,plain,
! [SV26: real,SV76: real] :
( ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ~ ! [SY351: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY351 )
| ~ ( ord_less_real @ SY351 @ SV26 ) )
| ~ ( ord_less_real @ SY351 @ SV76 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(861,plain,
! [SV27: real,SV113: real,SV77: real] :
( ( ( ~ ( ord_less_real @ SV77 @ SV113 ) )
= $true )
| ( ( ord_less_real @ SV27 @ SV113 )
= $true )
| ( ( SV27 = SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(862,plain,
! [SV78: real,SV28: real] :
( ( ( SV28 != SV78 )
= $false )
| ( ( ~ ( ~ ( ( SV28 != SV78 ) )
| ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(863,plain,
! [SV78: real,SV28: real] :
( ( ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ( SV28 != SV78 ) )
| ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(864,plain,
! [SV143: real,SV29: real] :
( ( ( ~ ( ord_less_real @ ( sK3_SY245 @ SV29 ) @ SV143 ) )
= $true )
| ( ( ord_less_eq_real @ SV29 @ SV143 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(865,plain,
! [SV136: nat,SV114: real > nat,SV80: real,SV31: real] :
( ( ( ord_less_real @ SV31 @ SV80 )
= $false )
| ( ( ( ( SV114 @ SV80 )
!= SV136 )
| ~ ! [SY422: real,SY423: real] :
( ~ ( ord_less_real @ SY422 @ SY423 )
| ( ord_less_nat @ ( SV114 @ SY422 ) @ ( SV114 @ SY423 ) ) )
| ( ord_less_nat @ ( SV114 @ SV31 ) @ SV136 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(866,plain,
! [SV137: real,SV115: nat > real,SV81: nat,SV32: nat] :
( ( ( ord_less_nat @ SV32 @ SV81 )
= $false )
| ( ( ( ( SV115 @ SV81 )
!= SV137 )
| ~ ! [SY425: nat,SY426: nat] :
( ~ ( ord_less_nat @ SY425 @ SY426 )
| ( ord_less_real @ ( SV115 @ SY425 ) @ ( SV115 @ SY426 ) ) )
| ( ord_less_real @ ( SV115 @ SV32 ) @ SV137 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(867,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(868,plain,
! [SV83: poly_real] :
( ( ( rsquarefree_real @ SV83 )
= $false )
| ( ( ~ ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[814]) ).
thf(869,plain,
! [SV83: poly_real] :
( ( ( ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[814]) ).
thf(870,plain,
! [SV138: nat,SV117: nat,SV84: nat > real,SV35: real] :
( ( ( SV35
= ( SV84 @ SV117 ) )
= $false )
| ( ( ~ ( ord_less_nat @ SV117 @ SV138 )
| ~ ! [SY368: nat,SY369: nat] :
( ~ ( ord_less_nat @ SY368 @ SY369 )
| ( ord_less_real @ ( SV84 @ SY368 ) @ ( SV84 @ SY369 ) ) )
| ( ord_less_real @ SV35 @ ( SV84 @ SV138 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(871,plain,
! [SV139: real,SV118: real,SV85: real > nat,SV36: nat] :
( ( ( SV36
= ( SV85 @ SV118 ) )
= $false )
| ( ( ~ ( ord_less_real @ SV118 @ SV139 )
| ~ ! [SY372: real,SY373: real] :
( ~ ( ord_less_real @ SY372 @ SY373 )
| ( ord_less_nat @ ( SV85 @ SY372 ) @ ( SV85 @ SY373 ) ) )
| ( ord_less_nat @ SV36 @ ( SV85 @ SV139 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(872,plain,
! [SV37: real,SV119: real,SV86: real] :
( ( ( ~ ( ord_less_real @ SV86 @ SV119 ) )
= $true )
| ( ( ord_less_real @ SV37 @ SV119 )
= $true )
| ( ( ord_less_real @ SV37 @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(873,plain,
! [SV38: real,SV120: real,SV87: real] :
( ( ( SV87 != SV120 )
= $true )
| ( ( ord_less_real @ SV38 @ SV120 )
= $true )
| ( ( ord_less_real @ SV38 @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(874,plain,
! [SV89: real,SV40: real] :
( ( ( ~ ~ ( ord_less_real @ SV40 @ SV89 ) )
= $true )
| ( ( ord_less_real @ SV89 @ SV40 )
= $true )
| ( ( SV40 = SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[820]) ).
thf(875,plain,
! [SV121: $o,SV41: real,SV90: real] :
( ( ( ~ ( ord_less_real @ SV90 @ SV41 ) )
= $true )
| ( SV121 = $true )
| ( ( ord_less_real @ SV41 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(876,plain,
! [SV41: real,SV90: real] :
( ( ( ~ ( ord_less_real @ SV90 @ SV41 ) )
= $true )
| ( $true = $true )
| ( ( ord_less_real @ SV41 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(877,plain,
! [SV41: real,SV90: real] :
( ( ( ~ ( ord_less_real @ SV90 @ SV41 ) )
= $true )
| ( $false = $true )
| ( ( ord_less_real @ SV41 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[823]) ).
thf(878,plain,
! [SV91: real,SV42: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV42 @ ( sK9_SY377 @ SV91 @ SV42 ) )
| ~ ( ord_less_real @ ( sK9_SY377 @ SV91 @ SV42 ) @ SV91 ) ) )
= $false )
| ( ( ord_less_real @ SV42 @ SV91 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[824]) ).
thf(879,plain,
! [SV43: real,SV122: real,SV92: real] :
( ( ( ~ ( ord_less_real @ SV92 @ SV122 ) )
= $true )
| ( ( ord_less_real @ SV43 @ SV122 )
= $true )
| ( ( ord_less_real @ SV43 @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[825]) ).
thf(880,plain,
! [SV93: real,SV44: real,SV123: poly_real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) ) )
= $true )
| ( ( ~ ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
| ~ ! [SY436: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV44 @ SY436 )
| ~ ( ord_less_real @ SY436 @ SV93 ) )
| ( ( poly_real2 @ SV123 @ SY436 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(881,plain,
! [SV94: real,SV45: real,SV124: poly_real] :
( ( ( ~ ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real ) )
= $true )
| ( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
| ~ ! [SY437: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV45 @ SY437 )
| ~ ( ord_less_real @ SY437 @ SV94 ) )
| ( ( poly_real2 @ SV124 @ SY437 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(882,plain,
! [SV140: real,SV125: real,SV95: real > real,SV46: real] :
( ( ( SV46
= ( SV95 @ SV125 ) )
= $false )
| ( ( ~ ( ord_less_real @ SV125 @ SV140 )
| ~ ! [SY385: real,SY386: real] :
( ~ ( ord_less_real @ SY385 @ SY386 )
| ( ord_less_real @ ( SV95 @ SY385 ) @ ( SV95 @ SY386 ) ) )
| ( ord_less_real @ SV46 @ ( SV95 @ SV140 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(883,plain,
! [SV141: real,SV126: real,SV96: real > real,SV47: real] :
( ( ( ord_less_real @ SV47 @ ( SV96 @ SV126 ) )
= $false )
| ( ( ~ ( ord_less_real @ SV126 @ SV141 )
| ~ ! [SY389: real,SY390: real] :
( ~ ( ord_less_real @ SY389 @ SY390 )
| ( ord_less_real @ ( SV96 @ SY389 ) @ ( SV96 @ SY390 ) ) )
| ( ord_less_real @ SV47 @ ( SV96 @ SV141 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(884,plain,
! [SV97: real,SV48: real] :
( ( ( ~ ( ( SV48 != SV97 ) ) )
= $true )
| ( ( ord_less_real @ SV97 @ SV48 )
= $true )
| ( ( ord_less_real @ SV48 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[830]) ).
thf(885,plain,
! [SV98: real,SV49: real,SV127: real] :
( ( ( ~ ( ord_less_real @ SV127 @ SV49 ) )
= $true )
| ( ( ord_less_real @ SV127 @ SV98 )
= $true )
| ( ( ord_less_real @ SV49 @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(886,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
= $false )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(887,plain,
( ( ( ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(888,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(889,plain,
! [SV53: real,SV144: real] :
( ( ( ~ ( ord_less_real @ SV144 @ ( sK4_SY312 @ SV53 ) ) )
= $true )
| ( ( ord_less_eq_real @ SV144 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[836]) ).
thf(890,plain,
! [SV54: real,SV145: real] :
( ( ( ~ ( ord_less_real @ SV145 @ ( sK5_SY314 @ SV54 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV54 @ SV145 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(891,plain,
! [SV55: real,SV102: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV102 @ SV55 )
| ( SV102 = SV55 ) )
| ~ ( ~ ~ ( ord_less_real @ SV102 @ SV55 )
| ( SV102 != SV55 ) ) )
= $true )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[838]) ).
thf(892,plain,
! [SV55: real,SV102: real] :
( ( ( ( ~ ( ord_less_real @ SV102 @ SV55 ) )
= ( SV102 = SV55 ) )
= $true )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[838]) ).
thf(893,plain,
! [SV2: poly_real] :
( ( ( ~ ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real )
| ( SV2 != zero_zero_poly_real ) )
= $false )
| ( ( ( poly_real2 @ SV2 @ ( sK7_SY189 @ SV2 ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(894,plain,
! [SV2: poly_real] :
( ( ( ~ ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real ) )
= $false )
| ( ( SV2 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[842]) ).
thf(895,plain,
! [SV2: poly_real] :
( ( ( SV2 != zero_zero_poly_real )
= $false )
| ( ( SV2 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[842]) ).
thf(896,plain,
! [SV3: real] :
( ( ( zero_zero_real != SV3 )
= $false )
| ( ( zero_zero_real = SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[843]) ).
thf(897,plain,
! [SV3: real] :
( ( ( SV3 != zero_zero_real )
= $false )
| ( ( zero_zero_real = SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[843]) ).
thf(898,plain,
! [SV3: real] :
( ( ( zero_zero_real != SV3 )
= $false )
| ( ( SV3 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(899,plain,
! [SV3: real] :
( ( ( SV3 != zero_zero_real )
= $false )
| ( ( SV3 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(900,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ! [SV146: real] :
( ( poly_real2 @ SV4 @ SV146 )
= ( poly_real2 @ SV59 @ SV146 ) ) )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
| ( SV4 != SV59 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[845]) ).
thf(901,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
| ( SV4 != SV59 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[845]) ).
thf(902,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
| ( SV4 != SV59 ) )
= $false )
| ( ( SV4 = SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(903,plain,
! [SV129: real,SV60: real] :
( ( ( ( ord_less_eq_real @ SV60 @ SV129 )
| ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV60 @ SV129 )
| ~ ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(904,plain,
! [SV61: real,SV6: real] :
( ( ( ord_less_eq_real @ SV6 @ SV61 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV6 @ SV61 )
| ~ ( ord_less_real @ SV61 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[848]) ).
thf(905,plain,
! [SV61: real,SV6: real] :
( ( ( ~ ~ ( ord_less_eq_real @ SV6 @ SV61 )
| ~ ( ord_less_real @ SV61 @ SV6 ) )
= $false )
| ( ( ord_less_real @ SV61 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(906,plain,
! [SV62: real,SV7: real] :
( ( ( ord_less_real @ SV7 @ SV62 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV7 @ SV62 )
| ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[850]) ).
thf(907,plain,
! [SV7: real,SV62: real] :
( ( ( ord_less_real @ SV62 @ SV7 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV7 @ SV62 )
| ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[851]) ).
thf(908,plain,
! [SV62: real,SV7: real] :
( ( ( SV7 = SV62 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV7 @ SV62 )
| ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[851]) ).
thf(909,plain,
! [SV13: nat,SV130: real,SV65: nat,SV106: nat > real] :
( ( ( ~ ( ord_less_real @ ( SV106 @ SV65 ) @ SV130 ) )
= $true )
| ( ( ~ ! [SY397: nat,SY398: nat] :
( ~ ( ord_less_nat @ SY397 @ SY398 )
| ( ord_less_real @ ( SV106 @ SY397 ) @ ( SV106 @ SY398 ) ) )
| ( ord_less_real @ ( SV106 @ SV13 ) @ SV130 ) )
= $true )
| ( ( ord_less_nat @ SV13 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[852]) ).
thf(910,plain,
! [SV14: real > real > $o,SV66: real,SV107: real] :
( ( ( ~ ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
| ( SV14 @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) ) )
= $false )
| ( ( ~ ! [SY205: real] : ( SV14 @ SY205 @ SY205 )
| ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[853]) ).
thf(911,plain,
! [SV16: real,SV131: nat,SV68: real,SV108: real > nat] :
( ( ( ~ ( ord_less_nat @ ( SV108 @ SV68 ) @ SV131 ) )
= $true )
| ( ( ~ ! [SY405: real,SY406: real] :
( ~ ( ord_less_real @ SY405 @ SY406 )
| ( ord_less_nat @ ( SV108 @ SY405 ) @ ( SV108 @ SY406 ) ) )
| ( ord_less_nat @ ( SV108 @ SV16 ) @ SV131 ) )
= $true )
| ( ( ord_less_real @ SV16 @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(912,plain,
! [SV17: real,SV69: nat > real,SV132: nat,SV109: nat] :
( ( ( ~ ( ord_less_nat @ SV109 @ SV132 ) )
= $true )
| ( ( ~ ! [SY337: nat,SY338: nat] :
( ~ ( ord_less_nat @ SY337 @ SY338 )
| ( ord_less_real @ ( SV69 @ SY337 ) @ ( SV69 @ SY338 ) ) )
| ( ord_less_real @ SV17 @ ( SV69 @ SV132 ) ) )
= $true )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV109 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(913,plain,
! [SV18: nat,SV70: real > nat,SV133: real,SV110: real] :
( ( ( ~ ( ord_less_real @ SV110 @ SV133 ) )
= $true )
| ( ( ~ ! [SY341: real,SY342: real] :
( ~ ( ord_less_real @ SY341 @ SY342 )
| ( ord_less_nat @ ( SV70 @ SY341 ) @ ( SV70 @ SY342 ) ) )
| ( ord_less_nat @ SV18 @ ( SV70 @ SV133 ) ) )
= $true )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(914,plain,
! [SV19: real,SV134: real,SV71: real,SV111: real > real] :
( ( ( ~ ( ord_less_real @ ( SV111 @ SV71 ) @ SV134 ) )
= $true )
| ( ( ~ ! [SY414: real,SY415: real] :
( ~ ( ord_less_real @ SY414 @ SY415 )
| ( ord_less_real @ ( SV111 @ SY414 ) @ ( SV111 @ SY415 ) ) )
| ( ord_less_real @ ( SV111 @ SV19 ) @ SV134 ) )
= $true )
| ( ( ord_less_real @ SV19 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(915,plain,
! [SV22: real,SV135: real,SV73: real,SV112: real > real] :
( ( ( ( SV112 @ SV73 )
!= SV135 )
= $true )
| ( ( ~ ! [SY417: real,SY418: real] :
( ~ ( ord_less_real @ SY417 @ SY418 )
| ( ord_less_real @ ( SV112 @ SY417 ) @ ( SV112 @ SY418 ) ) )
| ( ord_less_real @ ( SV112 @ SV22 ) @ SV135 ) )
= $true )
| ( ( ord_less_real @ SV22 @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(916,plain,
! [SV142: real,SV25: real] :
( ( ( ord_less_real @ ( sK2_SY238 @ SV25 ) @ SV142 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV142 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(917,plain,
! [SV76: real,SV26: real] :
( ( ( ! [SY351: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ SY351 )
| ~ ( ord_less_real @ SY351 @ SV26 ) )
| ~ ( ord_less_real @ SY351 @ SV76 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(918,plain,
! [SV27: real,SV113: real,SV77: real] :
( ( ( ord_less_real @ SV77 @ SV113 )
= $false )
| ( ( ord_less_real @ SV27 @ SV113 )
= $true )
| ( ( SV27 = SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(919,plain,
! [SV78: real,SV28: real] :
( ( ( SV28 = SV78 )
= $true )
| ( ( ~ ( ~ ( ( SV28 != SV78 ) )
| ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[862]) ).
thf(920,plain,
! [SV78: real,SV28: real] :
( ( ( ord_less_real @ SV28 @ SV78 )
= $false )
| ( ( ~ ( ~ ( ( SV28 != SV78 ) )
| ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[863]) ).
thf(921,plain,
! [SV28: real,SV78: real] :
( ( ( ord_less_real @ SV78 @ SV28 )
= $false )
| ( ( ~ ( ~ ( ( SV28 != SV78 ) )
| ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[863]) ).
thf(922,plain,
! [SV143: real,SV29: real] :
( ( ( ord_less_real @ ( sK3_SY245 @ SV29 ) @ SV143 )
= $false )
| ( ( ord_less_eq_real @ SV29 @ SV143 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(923,plain,
! [SV31: real,SV136: nat,SV80: real,SV114: real > nat] :
( ( ( ( SV114 @ SV80 )
!= SV136 )
= $true )
| ( ( ~ ! [SY422: real,SY423: real] :
( ~ ( ord_less_real @ SY422 @ SY423 )
| ( ord_less_nat @ ( SV114 @ SY422 ) @ ( SV114 @ SY423 ) ) )
| ( ord_less_nat @ ( SV114 @ SV31 ) @ SV136 ) )
= $true )
| ( ( ord_less_real @ SV31 @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[865]) ).
thf(924,plain,
! [SV32: nat,SV137: real,SV81: nat,SV115: nat > real] :
( ( ( ( SV115 @ SV81 )
!= SV137 )
= $true )
| ( ( ~ ! [SY425: nat,SY426: nat] :
( ~ ( ord_less_nat @ SY425 @ SY426 )
| ( ord_less_real @ ( SV115 @ SY425 ) @ ( SV115 @ SY426 ) ) )
| ( ord_less_real @ ( SV115 @ SV32 ) @ SV137 ) )
= $true )
| ( ( ord_less_nat @ SV32 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(925,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[867]) ).
thf(926,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[867]) ).
thf(927,plain,
! [SV83: poly_real] :
( ( ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) )
= $false )
| ( ( rsquarefree_real @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(928,plain,
! [SV83: poly_real] :
( ( ( ~ ~ ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
!= zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[869]) ).
thf(929,plain,
! [SV35: real,SV84: nat > real,SV138: nat,SV117: nat] :
( ( ( ~ ( ord_less_nat @ SV117 @ SV138 ) )
= $true )
| ( ( ~ ! [SY368: nat,SY369: nat] :
( ~ ( ord_less_nat @ SY368 @ SY369 )
| ( ord_less_real @ ( SV84 @ SY368 ) @ ( SV84 @ SY369 ) ) )
| ( ord_less_real @ SV35 @ ( SV84 @ SV138 ) ) )
= $true )
| ( ( SV35
= ( SV84 @ SV117 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(930,plain,
! [SV36: nat,SV85: real > nat,SV139: real,SV118: real] :
( ( ( ~ ( ord_less_real @ SV118 @ SV139 ) )
= $true )
| ( ( ~ ! [SY372: real,SY373: real] :
( ~ ( ord_less_real @ SY372 @ SY373 )
| ( ord_less_nat @ ( SV85 @ SY372 ) @ ( SV85 @ SY373 ) ) )
| ( ord_less_nat @ SV36 @ ( SV85 @ SV139 ) ) )
= $true )
| ( ( SV36
= ( SV85 @ SV118 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(931,plain,
! [SV37: real,SV119: real,SV86: real] :
( ( ( ord_less_real @ SV86 @ SV119 )
= $false )
| ( ( ord_less_real @ SV37 @ SV119 )
= $true )
| ( ( ord_less_real @ SV37 @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(932,plain,
! [SV38: real,SV120: real,SV87: real] :
( ( ( SV87 = SV120 )
= $false )
| ( ( ord_less_real @ SV38 @ SV120 )
= $true )
| ( ( ord_less_real @ SV38 @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(933,plain,
! [SV89: real,SV40: real] :
( ( ( ~ ( ord_less_real @ SV40 @ SV89 ) )
= $false )
| ( ( ord_less_real @ SV89 @ SV40 )
= $true )
| ( ( SV40 = SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(934,plain,
! [SV121: $o,SV41: real,SV90: real] :
( ( ( ord_less_real @ SV90 @ SV41 )
= $false )
| ( SV121 = $true )
| ( ( ord_less_real @ SV41 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(935,plain,
! [SV41: real,SV90: real] :
( ( ( ord_less_real @ SV90 @ SV41 )
= $false )
| ( $true = $true )
| ( ( ord_less_real @ SV41 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(936,plain,
! [SV41: real,SV90: real] :
( ( ( ord_less_real @ SV90 @ SV41 )
= $false )
| ( $false = $true )
| ( ( ord_less_real @ SV41 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(937,plain,
! [SV91: real,SV42: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV42 @ ( sK9_SY377 @ SV91 @ SV42 ) )
| ~ ( ord_less_real @ ( sK9_SY377 @ SV91 @ SV42 ) @ SV91 ) ) )
= $true )
| ( ( ord_less_real @ SV42 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[878]) ).
thf(938,plain,
! [SV43: real,SV122: real,SV92: real] :
( ( ( ord_less_real @ SV92 @ SV122 )
= $false )
| ( ( ord_less_real @ SV43 @ SV122 )
= $true )
| ( ( ord_less_real @ SV43 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(939,plain,
! [SV93: real,SV44: real,SV123: poly_real] :
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ~ ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
| ~ ! [SY436: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV44 @ SY436 )
| ~ ( ord_less_real @ SY436 @ SV93 ) )
| ( ( poly_real2 @ SV123 @ SY436 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(940,plain,
! [SV94: real,SV45: real,SV124: poly_real] :
( ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
| ~ ! [SY437: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV45 @ SY437 )
| ~ ( ord_less_real @ SY437 @ SV94 ) )
| ( ( poly_real2 @ SV124 @ SY437 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(941,plain,
! [SV46: real,SV95: real > real,SV140: real,SV125: real] :
( ( ( ~ ( ord_less_real @ SV125 @ SV140 ) )
= $true )
| ( ( ~ ! [SY385: real,SY386: real] :
( ~ ( ord_less_real @ SY385 @ SY386 )
| ( ord_less_real @ ( SV95 @ SY385 ) @ ( SV95 @ SY386 ) ) )
| ( ord_less_real @ SV46 @ ( SV95 @ SV140 ) ) )
= $true )
| ( ( SV46
= ( SV95 @ SV125 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(942,plain,
! [SV47: real,SV96: real > real,SV141: real,SV126: real] :
( ( ( ~ ( ord_less_real @ SV126 @ SV141 ) )
= $true )
| ( ( ~ ! [SY389: real,SY390: real] :
( ~ ( ord_less_real @ SY389 @ SY390 )
| ( ord_less_real @ ( SV96 @ SY389 ) @ ( SV96 @ SY390 ) ) )
| ( ord_less_real @ SV47 @ ( SV96 @ SV141 ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV126 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[883]) ).
thf(943,plain,
! [SV97: real,SV48: real] :
( ( ( SV48 != SV97 )
= $false )
| ( ( ord_less_real @ SV97 @ SV48 )
= $true )
| ( ( ord_less_real @ SV48 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(944,plain,
! [SV98: real,SV49: real,SV127: real] :
( ( ( ord_less_real @ SV127 @ SV49 )
= $false )
| ( ( ord_less_real @ SV127 @ SV98 )
= $true )
| ( ( ord_less_real @ SV49 @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(945,plain,
( ( ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $false )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(946,plain,
( ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[887]) ).
thf(947,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[888]) ).
thf(948,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[888]) ).
thf(949,plain,
! [SV53: real,SV144: real] :
( ( ( ord_less_real @ SV144 @ ( sK4_SY312 @ SV53 ) )
= $false )
| ( ( ord_less_eq_real @ SV144 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(950,plain,
! [SV54: real,SV145: real] :
( ( ( ord_less_real @ SV145 @ ( sK5_SY314 @ SV54 ) )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV54 @ SV145 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(951,plain,
! [SV55: real,SV102: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV102 @ SV55 )
| ( SV102 = SV55 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV102 @ SV55 )
| ( SV102 != SV55 ) ) )
= $true )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[891]) ).
thf(952,plain,
! [SV2: poly_real] :
( ( ( ~ ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real ) )
= $false )
| ( ( ( poly_real2 @ SV2 @ ( sK7_SY189 @ SV2 ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[893]) ).
thf(953,plain,
! [SV2: poly_real] :
( ( ( SV2 != zero_zero_poly_real )
= $false )
| ( ( ( poly_real2 @ SV2 @ ( sK7_SY189 @ SV2 ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[893]) ).
thf(954,plain,
! [SV2: poly_real] :
( ( ( ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real ) )
= $true )
| ( ( SV2 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[894]) ).
thf(955,plain,
! [SV2: poly_real] :
( ( ( SV2 = zero_zero_poly_real )
= $true )
| ( ( SV2 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(956,plain,
! [SV3: real] :
( ( ( zero_zero_real = SV3 )
= $true )
| ( ( zero_zero_real = SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[896]) ).
thf(957,plain,
! [SV3: real] :
( ( ( SV3 = zero_zero_real )
= $true )
| ( ( zero_zero_real = SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(958,plain,
! [SV3: real] :
( ( ( zero_zero_real = SV3 )
= $true )
| ( ( SV3 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[898]) ).
thf(959,plain,
! [SV3: real] :
( ( ( SV3 = zero_zero_real )
= $true )
| ( ( SV3 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[899]) ).
thf(960,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 @ ( sK12_SV146 @ SV59 @ SV4 ) )
= ( poly_real2 @ SV59 @ ( sK12_SV146 @ SV59 @ SV4 ) ) )
= $false )
| ( ( ~ ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
| ( SV4 != SV59 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[900]) ).
thf(961,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
| ( SV4 != SV59 ) )
= $false )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(962,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
= $false )
| ( ( SV4 = SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(963,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( SV4 != SV59 )
= $false )
| ( ( SV4 = SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(964,plain,
! [SV129: real,SV60: real] :
( ( ( ord_less_eq_real @ SV60 @ SV129 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV60 @ SV129 )
| ~ ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(965,plain,
! [SV129: real,SV60: real] :
( ( ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV60 @ SV129 )
| ~ ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(966,plain,
! [SV61: real,SV6: real] :
( ( ( ~ ~ ( ord_less_eq_real @ SV6 @ SV61 )
| ~ ( ord_less_real @ SV61 @ SV6 ) )
= $false )
| ( ( ord_less_eq_real @ SV6 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(967,plain,
! [SV61: real,SV6: real] :
( ( ( ~ ~ ( ord_less_eq_real @ SV6 @ SV61 ) )
= $false )
| ( ( ord_less_real @ SV61 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(968,plain,
! [SV6: real,SV61: real] :
( ( ( ~ ( ord_less_real @ SV61 @ SV6 ) )
= $false )
| ( ( ord_less_real @ SV61 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(969,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ~ ( ord_less_real @ SV7 @ SV62 )
| ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) )
= $false )
| ( ( ord_less_real @ SV7 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(970,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ~ ( ord_less_real @ SV7 @ SV62 )
| ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) )
= $false )
| ( ( ord_less_real @ SV62 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(971,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ~ ( ord_less_real @ SV7 @ SV62 )
| ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) )
= $false )
| ( ( SV7 = SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(972,plain,
! [SV13: nat,SV130: real,SV65: nat,SV106: nat > real] :
( ( ( ord_less_real @ ( SV106 @ SV65 ) @ SV130 )
= $false )
| ( ( ~ ! [SY397: nat,SY398: nat] :
( ~ ( ord_less_nat @ SY397 @ SY398 )
| ( ord_less_real @ ( SV106 @ SY397 ) @ ( SV106 @ SY398 ) ) )
| ( ord_less_real @ ( SV106 @ SV13 ) @ SV130 ) )
= $true )
| ( ( ord_less_nat @ SV13 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(973,plain,
! [SV14: real > real > $o,SV66: real,SV107: real] :
( ( ( ~ ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) ) )
= $false )
| ( ( ~ ! [SY205: real] : ( SV14 @ SY205 @ SY205 )
| ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(974,plain,
! [SV66: real,SV107: real,SV14: real > real > $o] :
( ( ( SV14 @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $false )
| ( ( ~ ! [SY205: real] : ( SV14 @ SY205 @ SY205 )
| ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(975,plain,
! [SV16: real,SV131: nat,SV68: real,SV108: real > nat] :
( ( ( ord_less_nat @ ( SV108 @ SV68 ) @ SV131 )
= $false )
| ( ( ~ ! [SY405: real,SY406: real] :
( ~ ( ord_less_real @ SY405 @ SY406 )
| ( ord_less_nat @ ( SV108 @ SY405 ) @ ( SV108 @ SY406 ) ) )
| ( ord_less_nat @ ( SV108 @ SV16 ) @ SV131 ) )
= $true )
| ( ( ord_less_real @ SV16 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(976,plain,
! [SV17: real,SV69: nat > real,SV132: nat,SV109: nat] :
( ( ( ord_less_nat @ SV109 @ SV132 )
= $false )
| ( ( ~ ! [SY337: nat,SY338: nat] :
( ~ ( ord_less_nat @ SY337 @ SY338 )
| ( ord_less_real @ ( SV69 @ SY337 ) @ ( SV69 @ SY338 ) ) )
| ( ord_less_real @ SV17 @ ( SV69 @ SV132 ) ) )
= $true )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV109 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(977,plain,
! [SV18: nat,SV70: real > nat,SV133: real,SV110: real] :
( ( ( ord_less_real @ SV110 @ SV133 )
= $false )
| ( ( ~ ! [SY341: real,SY342: real] :
( ~ ( ord_less_real @ SY341 @ SY342 )
| ( ord_less_nat @ ( SV70 @ SY341 ) @ ( SV70 @ SY342 ) ) )
| ( ord_less_nat @ SV18 @ ( SV70 @ SV133 ) ) )
= $true )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(978,plain,
! [SV19: real,SV134: real,SV71: real,SV111: real > real] :
( ( ( ord_less_real @ ( SV111 @ SV71 ) @ SV134 )
= $false )
| ( ( ~ ! [SY414: real,SY415: real] :
( ~ ( ord_less_real @ SY414 @ SY415 )
| ( ord_less_real @ ( SV111 @ SY414 ) @ ( SV111 @ SY415 ) ) )
| ( ord_less_real @ ( SV111 @ SV19 ) @ SV134 ) )
= $true )
| ( ( ord_less_real @ SV19 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(979,plain,
! [SV22: real,SV135: real,SV73: real,SV112: real > real] :
( ( ( ( SV112 @ SV73 )
= SV135 )
= $false )
| ( ( ~ ! [SY417: real,SY418: real] :
( ~ ( ord_less_real @ SY417 @ SY418 )
| ( ord_less_real @ ( SV112 @ SY417 ) @ ( SV112 @ SY418 ) ) )
| ( ord_less_real @ ( SV112 @ SV22 ) @ SV135 ) )
= $true )
| ( ( ord_less_real @ SV22 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(980,plain,
! [SV25: real,SV142: real] :
( ( ( ord_less_eq_real @ SV142 @ SV25 )
= $false )
| ( ( ord_less_real @ ( sK2_SY238 @ SV25 ) @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(981,plain,
! [SV26: real,SV76: real] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sK13_SY351 @ SV76 @ SV26 ) )
| ~ ( ord_less_real @ ( sK13_SY351 @ SV76 @ SV26 ) @ SV26 ) )
| ~ ( ord_less_real @ ( sK13_SY351 @ SV76 @ SV26 ) @ SV76 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[917]) ).
thf(982,plain,
! [SV78: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV78 ) )
| ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) )
= $false )
| ( ( SV28 = SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(983,plain,
! [SV78: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV78 ) )
| ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) )
= $false )
| ( ( ord_less_real @ SV28 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(984,plain,
! [SV78: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV78 ) )
| ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) )
= $false )
| ( ( ord_less_real @ SV78 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(985,plain,
! [SV31: real,SV136: nat,SV80: real,SV114: real > nat] :
( ( ( ( SV114 @ SV80 )
= SV136 )
= $false )
| ( ( ~ ! [SY422: real,SY423: real] :
( ~ ( ord_less_real @ SY422 @ SY423 )
| ( ord_less_nat @ ( SV114 @ SY422 ) @ ( SV114 @ SY423 ) ) )
| ( ord_less_nat @ ( SV114 @ SV31 ) @ SV136 ) )
= $true )
| ( ( ord_less_real @ SV31 @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(986,plain,
! [SV32: nat,SV137: real,SV81: nat,SV115: nat > real] :
( ( ( ( SV115 @ SV81 )
= SV137 )
= $false )
| ( ( ~ ! [SY425: nat,SY426: nat] :
( ~ ( ord_less_nat @ SY425 @ SY426 )
| ( ord_less_real @ ( SV115 @ SY425 ) @ ( SV115 @ SY426 ) ) )
| ( ord_less_real @ ( SV115 @ SV32 ) @ SV137 ) )
= $true )
| ( ( ord_less_nat @ SV32 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(987,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
| ~ ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 ) )
| ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
!= zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[925]) ).
thf(988,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(989,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(990,plain,
! [SV83: poly_real] :
( ( ( ~ ( rsquarefree_real @ SV83 ) )
= $false )
| ( ( rsquarefree_real @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(991,plain,
! [SV83: poly_real] :
( ( ( ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) )
= $false )
| ( ( rsquarefree_real @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(992,plain,
! [SV83: poly_real] :
( ( ( ~ ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
!= zero_zero_real ) ) )
= $true )
| ( ( ~ ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[928]) ).
thf(993,plain,
! [SV35: real,SV84: nat > real,SV138: nat,SV117: nat] :
( ( ( ord_less_nat @ SV117 @ SV138 )
= $false )
| ( ( ~ ! [SY368: nat,SY369: nat] :
( ~ ( ord_less_nat @ SY368 @ SY369 )
| ( ord_less_real @ ( SV84 @ SY368 ) @ ( SV84 @ SY369 ) ) )
| ( ord_less_real @ SV35 @ ( SV84 @ SV138 ) ) )
= $true )
| ( ( SV35
= ( SV84 @ SV117 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(994,plain,
! [SV36: nat,SV85: real > nat,SV139: real,SV118: real] :
( ( ( ord_less_real @ SV118 @ SV139 )
= $false )
| ( ( ~ ! [SY372: real,SY373: real] :
( ~ ( ord_less_real @ SY372 @ SY373 )
| ( ord_less_nat @ ( SV85 @ SY372 ) @ ( SV85 @ SY373 ) ) )
| ( ord_less_nat @ SV36 @ ( SV85 @ SV139 ) ) )
= $true )
| ( ( SV36
= ( SV85 @ SV118 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(995,plain,
! [SV89: real,SV40: real] :
( ( ( ord_less_real @ SV40 @ SV89 )
= $true )
| ( ( ord_less_real @ SV89 @ SV40 )
= $true )
| ( ( SV40 = SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(996,plain,
! [SV91: real,SV42: real] :
( ( ( ~ ( ord_less_real @ SV42 @ ( sK9_SY377 @ SV91 @ SV42 ) )
| ~ ( ord_less_real @ ( sK9_SY377 @ SV91 @ SV42 ) @ SV91 ) )
= $false )
| ( ( ord_less_real @ SV42 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(997,plain,
! [SV44: real,SV93: real,SV123: poly_real] :
( ( ( ~ ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real ) )
= $true )
| ( ( ~ ! [SY436: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV44 @ SY436 )
| ~ ( ord_less_real @ SY436 @ SV93 ) )
| ( ( poly_real2 @ SV123 @ SY436 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(998,plain,
! [SV45: real,SV94: real,SV124: poly_real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) ) )
= $true )
| ( ( ~ ! [SY437: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV45 @ SY437 )
| ~ ( ord_less_real @ SY437 @ SV94 ) )
| ( ( poly_real2 @ SV124 @ SY437 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[940]) ).
thf(999,plain,
! [SV46: real,SV95: real > real,SV140: real,SV125: real] :
( ( ( ord_less_real @ SV125 @ SV140 )
= $false )
| ( ( ~ ! [SY385: real,SY386: real] :
( ~ ( ord_less_real @ SY385 @ SY386 )
| ( ord_less_real @ ( SV95 @ SY385 ) @ ( SV95 @ SY386 ) ) )
| ( ord_less_real @ SV46 @ ( SV95 @ SV140 ) ) )
= $true )
| ( ( SV46
= ( SV95 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1000,plain,
! [SV47: real,SV96: real > real,SV141: real,SV126: real] :
( ( ( ord_less_real @ SV126 @ SV141 )
= $false )
| ( ( ~ ! [SY389: real,SY390: real] :
( ~ ( ord_less_real @ SY389 @ SY390 )
| ( ord_less_real @ ( SV96 @ SY389 ) @ ( SV96 @ SY390 ) ) )
| ( ord_less_real @ SV47 @ ( SV96 @ SV141 ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV126 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1001,plain,
! [SV97: real,SV48: real] :
( ( ( SV48 = SV97 )
= $true )
| ( ( ord_less_real @ SV97 @ SV48 )
= $true )
| ( ( ord_less_real @ SV48 @ SV97 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[943]) ).
thf(1002,plain,
( ( ( ~ ( sturm_469514713_r_pos @ p @ x ) )
= $false )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(1003,plain,
( ( ( ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $false )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(1004,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $false )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1005,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
| ~ ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 ) )
| ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
!= zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[947]) ).
thf(1006,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1007,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1008,plain,
! [SV145: real,SV54: real] :
( ( ( ord_less_eq_real @ SV54 @ SV145 )
= $false )
| ( ( ord_less_real @ SV145 @ ( sK5_SY314 @ SV54 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(1009,plain,
! [SV55: real,SV102: real] :
( ( ( ~ ( ord_less_real @ SV102 @ SV55 )
| ( SV102 = SV55 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV102 @ SV55 )
| ( SV102 != SV55 ) ) )
= $true )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[951]) ).
thf(1010,plain,
! [SV2: poly_real] :
( ( ( ! [SY189: real] :
( ( poly_real2 @ SV2 @ SY189 )
= zero_zero_real ) )
= $true )
| ( ( ( poly_real2 @ SV2 @ ( sK7_SY189 @ SV2 ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(1011,plain,
! [SV2: poly_real] :
( ( ( SV2 = zero_zero_poly_real )
= $true )
| ( ( ( poly_real2 @ SV2 @ ( sK7_SY189 @ SV2 ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[953]) ).
thf(1012,plain,
! [SV147: real,SV2: poly_real] :
( ( ( ( poly_real2 @ SV2 @ SV147 )
= zero_zero_real )
= $true )
| ( ( SV2 = zero_zero_poly_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(1013,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
| ( SV4 != SV59 ) )
= $false )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV146 @ SV59 @ SV4 ) )
= ( poly_real2 @ SV59 @ ( sK12_SV146 @ SV59 @ SV4 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1014,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
= $false )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[961]) ).
thf(1015,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( SV4 != SV59 )
= $false )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[961]) ).
thf(1016,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $true )
| ( ( SV4 = SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(1017,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( SV4 = SV59 )
= $true )
| ( ( SV4 = SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[963]) ).
thf(1018,plain,
! [SV129: real,SV60: real] :
( ( ( ~ ( ord_less_eq_real @ SV60 @ SV129 )
| ~ ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV60 @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(1019,plain,
! [SV129: real,SV60: real] :
( ( ( ord_less_real @ SV60 @ SV129 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV60 @ SV129 )
| ~ ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[965]) ).
thf(1020,plain,
! [SV129: real,SV60: real] :
( ( ( SV60 = SV129 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ SV60 @ SV129 )
| ~ ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[965]) ).
thf(1021,plain,
! [SV61: real,SV6: real] :
( ( ( ~ ~ ( ord_less_eq_real @ SV6 @ SV61 ) )
= $false )
| ( ( ord_less_eq_real @ SV6 @ SV61 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[966]) ).
thf(1022,plain,
! [SV6: real,SV61: real] :
( ( ( ~ ( ord_less_real @ SV61 @ SV6 ) )
= $false )
| ( ( ord_less_eq_real @ SV6 @ SV61 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[966]) ).
thf(1023,plain,
! [SV61: real,SV6: real] :
( ( ( ~ ( ord_less_eq_real @ SV6 @ SV61 ) )
= $true )
| ( ( ord_less_real @ SV61 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[967]) ).
thf(1024,plain,
! [SV6: real,SV61: real] :
( ( ( ord_less_real @ SV61 @ SV6 )
= $true )
| ( ( ord_less_real @ SV61 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1025,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ~ ( ord_less_real @ SV7 @ SV62 ) )
= $false )
| ( ( ord_less_real @ SV7 @ SV62 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1026,plain,
! [SV7: real,SV62: real] :
( ( ( ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) )
= $false )
| ( ( ord_less_real @ SV7 @ SV62 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1027,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ~ ( ord_less_real @ SV7 @ SV62 ) )
= $false )
| ( ( ord_less_real @ SV62 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1028,plain,
! [SV7: real,SV62: real] :
( ( ( ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) )
= $false )
| ( ( ord_less_real @ SV62 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1029,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ~ ( ord_less_real @ SV7 @ SV62 ) )
= $false )
| ( ( SV7 = SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[971]) ).
thf(1030,plain,
! [SV7: real,SV62: real] :
( ( ( ~ ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) ) )
= $false )
| ( ( SV7 = SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[971]) ).
thf(1031,plain,
! [SV65: nat,SV130: real,SV13: nat,SV106: nat > real] :
( ( ( ~ ! [SY397: nat,SY398: nat] :
( ~ ( ord_less_nat @ SY397 @ SY398 )
| ( ord_less_real @ ( SV106 @ SY397 ) @ ( SV106 @ SY398 ) ) ) )
= $true )
| ( ( ord_less_real @ ( SV106 @ SV13 ) @ SV130 )
= $true )
| ( ( ord_less_real @ ( SV106 @ SV65 ) @ SV130 )
= $false )
| ( ( ord_less_nat @ SV13 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(1032,plain,
! [SV14: real > real > $o,SV66: real,SV107: real] :
( ( ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $true )
| ( ( ~ ! [SY205: real] : ( SV14 @ SY205 @ SY205 )
| ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[973]) ).
thf(1033,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ~ ! [SY205: real] : ( SV14 @ SY205 @ SY205 ) )
= $true )
| ( ( ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true )
| ( ( SV14 @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[974]) ).
thf(1034,plain,
! [SV68: real,SV131: nat,SV16: real,SV108: real > nat] :
( ( ( ~ ! [SY405: real,SY406: real] :
( ~ ( ord_less_real @ SY405 @ SY406 )
| ( ord_less_nat @ ( SV108 @ SY405 ) @ ( SV108 @ SY406 ) ) ) )
= $true )
| ( ( ord_less_nat @ ( SV108 @ SV16 ) @ SV131 )
= $true )
| ( ( ord_less_nat @ ( SV108 @ SV68 ) @ SV131 )
= $false )
| ( ( ord_less_real @ SV16 @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1035,plain,
! [SV109: nat,SV132: nat,SV17: real,SV69: nat > real] :
( ( ( ~ ! [SY337: nat,SY338: nat] :
( ~ ( ord_less_nat @ SY337 @ SY338 )
| ( ord_less_real @ ( SV69 @ SY337 ) @ ( SV69 @ SY338 ) ) ) )
= $true )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV132 ) )
= $true )
| ( ( ord_less_nat @ SV109 @ SV132 )
= $false )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV109 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(1036,plain,
! [SV110: real,SV133: real,SV18: nat,SV70: real > nat] :
( ( ( ~ ! [SY341: real,SY342: real] :
( ~ ( ord_less_real @ SY341 @ SY342 )
| ( ord_less_nat @ ( SV70 @ SY341 ) @ ( SV70 @ SY342 ) ) ) )
= $true )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV133 ) )
= $true )
| ( ( ord_less_real @ SV110 @ SV133 )
= $false )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV110 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1037,plain,
! [SV71: real,SV134: real,SV19: real,SV111: real > real] :
( ( ( ~ ! [SY414: real,SY415: real] :
( ~ ( ord_less_real @ SY414 @ SY415 )
| ( ord_less_real @ ( SV111 @ SY414 ) @ ( SV111 @ SY415 ) ) ) )
= $true )
| ( ( ord_less_real @ ( SV111 @ SV19 ) @ SV134 )
= $true )
| ( ( ord_less_real @ ( SV111 @ SV71 ) @ SV134 )
= $false )
| ( ( ord_less_real @ SV19 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[978]) ).
thf(1038,plain,
! [SV73: real,SV135: real,SV22: real,SV112: real > real] :
( ( ( ~ ! [SY417: real,SY418: real] :
( ~ ( ord_less_real @ SY417 @ SY418 )
| ( ord_less_real @ ( SV112 @ SY417 ) @ ( SV112 @ SY418 ) ) ) )
= $true )
| ( ( ord_less_real @ ( SV112 @ SV22 ) @ SV135 )
= $true )
| ( ( ( SV112 @ SV73 )
= SV135 )
= $false )
| ( ( ord_less_real @ SV22 @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1039,plain,
! [SV26: real,SV76: real] :
( ( ( ~ ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sK13_SY351 @ SV76 @ SV26 ) )
| ~ ( ord_less_real @ ( sK13_SY351 @ SV76 @ SV26 ) @ SV26 ) )
| ~ ( ord_less_real @ ( sK13_SY351 @ SV76 @ SV26 ) @ SV76 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[981]) ).
thf(1040,plain,
! [SV78: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV78 ) ) )
= $false )
| ( ( SV28 = SV78 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1041,plain,
! [SV78: real,SV28: real] :
( ( ( ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) )
= $false )
| ( ( SV28 = SV78 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1042,plain,
! [SV78: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV78 ) ) )
= $false )
| ( ( ord_less_real @ SV28 @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(1043,plain,
! [SV78: real,SV28: real] :
( ( ( ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) )
= $false )
| ( ( ord_less_real @ SV28 @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(1044,plain,
! [SV78: real,SV28: real] :
( ( ( ~ ( ( SV28 != SV78 ) ) )
= $false )
| ( ( ord_less_real @ SV78 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[984]) ).
thf(1045,plain,
! [SV78: real,SV28: real] :
( ( ( ~ ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) ) )
= $false )
| ( ( ord_less_real @ SV78 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[984]) ).
thf(1046,plain,
! [SV80: real,SV136: nat,SV31: real,SV114: real > nat] :
( ( ( ~ ! [SY422: real,SY423: real] :
( ~ ( ord_less_real @ SY422 @ SY423 )
| ( ord_less_nat @ ( SV114 @ SY422 ) @ ( SV114 @ SY423 ) ) ) )
= $true )
| ( ( ord_less_nat @ ( SV114 @ SV31 ) @ SV136 )
= $true )
| ( ( ( SV114 @ SV80 )
= SV136 )
= $false )
| ( ( ord_less_real @ SV31 @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[985]) ).
thf(1047,plain,
! [SV81: nat,SV137: real,SV32: nat,SV115: nat > real] :
( ( ( ~ ! [SY425: nat,SY426: nat] :
( ~ ( ord_less_nat @ SY425 @ SY426 )
| ( ord_less_real @ ( SV115 @ SY425 ) @ ( SV115 @ SY426 ) ) ) )
= $true )
| ( ( ord_less_real @ ( SV115 @ SV32 ) @ SV137 )
= $true )
| ( ( ( SV115 @ SV81 )
= SV137 )
= $false )
| ( ( ord_less_nat @ SV32 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[986]) ).
thf(1048,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
| ~ ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[987]) ).
thf(1049,plain,
! [SV33: real,SV82: real,SV116: poly_real] :
( ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
!= zero_zero_real )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[987]) ).
thf(1050,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
| ~ ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[988]) ).
thf(1051,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
| ~ ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[989]) ).
thf(1052,plain,
! [SV83: poly_real] :
( ( ( rsquarefree_real @ SV83 )
= $true )
| ( ( rsquarefree_real @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1053,plain,
! [SV83: poly_real] :
( ( ( ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) )
= $true )
| ( ( rsquarefree_real @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1054,plain,
! [SV83: poly_real] :
( ( ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
!= zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1055,plain,
! [SV117: nat,SV138: nat,SV35: real,SV84: nat > real] :
( ( ( ~ ! [SY368: nat,SY369: nat] :
( ~ ( ord_less_nat @ SY368 @ SY369 )
| ( ord_less_real @ ( SV84 @ SY368 ) @ ( SV84 @ SY369 ) ) ) )
= $true )
| ( ( ord_less_real @ SV35 @ ( SV84 @ SV138 ) )
= $true )
| ( ( ord_less_nat @ SV117 @ SV138 )
= $false )
| ( ( SV35
= ( SV84 @ SV117 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[993]) ).
thf(1056,plain,
! [SV118: real,SV139: real,SV36: nat,SV85: real > nat] :
( ( ( ~ ! [SY372: real,SY373: real] :
( ~ ( ord_less_real @ SY372 @ SY373 )
| ( ord_less_nat @ ( SV85 @ SY372 ) @ ( SV85 @ SY373 ) ) ) )
= $true )
| ( ( ord_less_nat @ SV36 @ ( SV85 @ SV139 ) )
= $true )
| ( ( ord_less_real @ SV118 @ SV139 )
= $false )
| ( ( SV36
= ( SV85 @ SV118 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[994]) ).
thf(1057,plain,
! [SV91: real,SV42: real] :
( ( ( ~ ( ord_less_real @ SV42 @ ( sK9_SY377 @ SV91 @ SV42 ) ) )
= $false )
| ( ( ord_less_real @ SV42 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1058,plain,
! [SV42: real,SV91: real] :
( ( ( ~ ( ord_less_real @ ( sK9_SY377 @ SV91 @ SV42 ) @ SV91 ) )
= $false )
| ( ( ord_less_real @ SV42 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1059,plain,
! [SV44: real,SV93: real,SV123: poly_real] :
( ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ~ ! [SY436: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV44 @ SY436 )
| ~ ( ord_less_real @ SY436 @ SV93 ) )
| ( ( poly_real2 @ SV123 @ SY436 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1060,plain,
! [SV45: real,SV94: real,SV124: poly_real] :
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ~ ! [SY437: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV45 @ SY437 )
| ~ ( ord_less_real @ SY437 @ SV94 ) )
| ( ( poly_real2 @ SV124 @ SY437 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1061,plain,
! [SV125: real,SV140: real,SV46: real,SV95: real > real] :
( ( ( ~ ! [SY385: real,SY386: real] :
( ~ ( ord_less_real @ SY385 @ SY386 )
| ( ord_less_real @ ( SV95 @ SY385 ) @ ( SV95 @ SY386 ) ) ) )
= $true )
| ( ( ord_less_real @ SV46 @ ( SV95 @ SV140 ) )
= $true )
| ( ( ord_less_real @ SV125 @ SV140 )
= $false )
| ( ( SV46
= ( SV95 @ SV125 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[999]) ).
thf(1062,plain,
! [SV126: real,SV141: real,SV47: real,SV96: real > real] :
( ( ( ~ ! [SY389: real,SY390: real] :
( ~ ( ord_less_real @ SY389 @ SY390 )
| ( ord_less_real @ ( SV96 @ SY389 ) @ ( SV96 @ SY390 ) ) ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV141 ) )
= $true )
| ( ( ord_less_real @ SV126 @ SV141 )
= $false )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV126 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1063,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1002]) ).
thf(1064,plain,
( ( ( ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1065,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) ) )
= $false )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1004]) ).
thf(1066,plain,
( ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $false )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1004]) ).
thf(1067,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
| ~ ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1068,plain,
! [SV51: real,SV100: real,SV128: poly_real] :
( ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
!= zero_zero_real )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1069,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
| ~ ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1006]) ).
thf(1070,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
| ~ ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1007]) ).
thf(1071,plain,
! [SV55: real,SV102: real] :
( ( ( ~ ( ord_less_real @ SV102 @ SV55 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV102 @ SV55 )
| ( SV102 != SV55 ) ) )
= $true )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1009]) ).
thf(1072,plain,
! [SV55: real,SV102: real] :
( ( ( SV102 = SV55 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV102 @ SV55 )
| ( SV102 != SV55 ) ) )
= $true )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1009]) ).
thf(1073,plain,
! [SV148: real,SV2: poly_real] :
( ( ( ( poly_real2 @ SV2 @ SV148 )
= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV2 @ ( sK7_SY189 @ SV2 ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1074,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
!= ( poly_real2 @ SV59 ) )
= $false )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV146 @ SV59 @ SV4 ) )
= ( poly_real2 @ SV59 @ ( sK12_SV146 @ SV59 @ SV4 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1013]) ).
thf(1075,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( SV4 != SV59 )
= $false )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV146 @ SV59 @ SV4 ) )
= ( poly_real2 @ SV59 @ ( sK12_SV146 @ SV59 @ SV4 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1013]) ).
thf(1076,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $true )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1077,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( SV4 = SV59 )
= $true )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1015]) ).
thf(1078,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ! [SV149: real] :
( ( poly_real2 @ SV4 @ SV149 )
= ( poly_real2 @ SV59 @ SV149 ) ) )
= $true )
| ( ( SV4 = SV59 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1016]) ).
thf(1079,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $true )
| ( ( SV4 = SV59 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1016]) ).
thf(1080,plain,
! [SV129: real,SV60: real] :
( ( ( ~ ( ord_less_eq_real @ SV60 @ SV129 ) )
= $false )
| ( ( ord_less_eq_real @ SV60 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1018]) ).
thf(1081,plain,
! [SV129: real,SV60: real] :
( ( ( ~ ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV60 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1018]) ).
thf(1082,plain,
! [SV129: real,SV60: real] :
( ( ( ~ ( ord_less_eq_real @ SV60 @ SV129 )
| ~ ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) )
= $false )
| ( ( ord_less_real @ SV60 @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1083,plain,
! [SV129: real,SV60: real] :
( ( ( ~ ( ord_less_eq_real @ SV60 @ SV129 )
| ~ ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) )
= $false )
| ( ( SV60 = SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1084,plain,
! [SV61: real,SV6: real] :
( ( ( ~ ( ord_less_eq_real @ SV6 @ SV61 ) )
= $true )
| ( ( ord_less_eq_real @ SV6 @ SV61 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1021]) ).
thf(1085,plain,
! [SV6: real,SV61: real] :
( ( ( ord_less_real @ SV61 @ SV6 )
= $true )
| ( ( ord_less_eq_real @ SV6 @ SV61 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1022]) ).
thf(1086,plain,
! [SV61: real,SV6: real] :
( ( ( ord_less_eq_real @ SV6 @ SV61 )
= $false )
| ( ( ord_less_real @ SV61 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1087,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ( ord_less_real @ SV7 @ SV62 ) )
= $true )
| ( ( ord_less_real @ SV7 @ SV62 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1025]) ).
thf(1088,plain,
! [SV7: real,SV62: real] :
( ( ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) )
= $true )
| ( ( ord_less_real @ SV7 @ SV62 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1026]) ).
thf(1089,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ( ord_less_real @ SV7 @ SV62 ) )
= $true )
| ( ( ord_less_real @ SV62 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1027]) ).
thf(1090,plain,
! [SV7: real,SV62: real] :
( ( ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) )
= $true )
| ( ( ord_less_real @ SV62 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1028]) ).
thf(1091,plain,
! [SV62: real,SV7: real] :
( ( ( ~ ( ord_less_real @ SV7 @ SV62 ) )
= $true )
| ( ( SV7 = SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1029]) ).
thf(1092,plain,
! [SV7: real,SV62: real] :
( ( ( ( ord_less_real @ SV62 @ SV7 )
| ( SV7 = SV62 ) )
= $true )
| ( ( SV7 = SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1030]) ).
thf(1093,plain,
! [SV65: nat,SV130: real,SV13: nat,SV106: nat > real] :
( ( ( ! [SY397: nat,SY398: nat] :
( ~ ( ord_less_nat @ SY397 @ SY398 )
| ( ord_less_real @ ( SV106 @ SY397 ) @ ( SV106 @ SY398 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV106 @ SV13 ) @ SV130 )
= $true )
| ( ( ord_less_real @ ( SV106 @ SV65 ) @ SV130 )
= $false )
| ( ( ord_less_nat @ SV13 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1094,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ~ ! [SY205: real] : ( SV14 @ SY205 @ SY205 ) )
= $true )
| ( ( ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true )
| ( ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1095,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ! [SY205: real] : ( SV14 @ SY205 @ SY205 ) )
= $false )
| ( ( ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true )
| ( ( SV14 @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1096,plain,
! [SV68: real,SV131: nat,SV16: real,SV108: real > nat] :
( ( ( ! [SY405: real,SY406: real] :
( ~ ( ord_less_real @ SY405 @ SY406 )
| ( ord_less_nat @ ( SV108 @ SY405 ) @ ( SV108 @ SY406 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( SV108 @ SV16 ) @ SV131 )
= $true )
| ( ( ord_less_nat @ ( SV108 @ SV68 ) @ SV131 )
= $false )
| ( ( ord_less_real @ SV16 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1034]) ).
thf(1097,plain,
! [SV109: nat,SV132: nat,SV17: real,SV69: nat > real] :
( ( ( ! [SY337: nat,SY338: nat] :
( ~ ( ord_less_nat @ SY337 @ SY338 )
| ( ord_less_real @ ( SV69 @ SY337 ) @ ( SV69 @ SY338 ) ) ) )
= $false )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV132 ) )
= $true )
| ( ( ord_less_nat @ SV109 @ SV132 )
= $false )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV109 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1035]) ).
thf(1098,plain,
! [SV110: real,SV133: real,SV18: nat,SV70: real > nat] :
( ( ( ! [SY341: real,SY342: real] :
( ~ ( ord_less_real @ SY341 @ SY342 )
| ( ord_less_nat @ ( SV70 @ SY341 ) @ ( SV70 @ SY342 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV133 ) )
= $true )
| ( ( ord_less_real @ SV110 @ SV133 )
= $false )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1099,plain,
! [SV71: real,SV134: real,SV19: real,SV111: real > real] :
( ( ( ! [SY414: real,SY415: real] :
( ~ ( ord_less_real @ SY414 @ SY415 )
| ( ord_less_real @ ( SV111 @ SY414 ) @ ( SV111 @ SY415 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV111 @ SV19 ) @ SV134 )
= $true )
| ( ( ord_less_real @ ( SV111 @ SV71 ) @ SV134 )
= $false )
| ( ( ord_less_real @ SV19 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1100,plain,
! [SV73: real,SV135: real,SV22: real,SV112: real > real] :
( ( ( ! [SY417: real,SY418: real] :
( ~ ( ord_less_real @ SY417 @ SY418 )
| ( ord_less_real @ ( SV112 @ SY417 ) @ ( SV112 @ SY418 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV112 @ SV22 ) @ SV135 )
= $true )
| ( ( ( SV112 @ SV73 )
= SV135 )
= $false )
| ( ( ord_less_real @ SV22 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1101,plain,
! [SV26: real,SV76: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sK13_SY351 @ SV76 @ SV26 ) )
| ~ ( ord_less_real @ ( sK13_SY351 @ SV76 @ SV26 ) @ SV26 ) )
| ~ ( ord_less_real @ ( sK13_SY351 @ SV76 @ SV26 ) @ SV76 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1102,plain,
! [SV78: real,SV28: real] :
( ( ( SV28 != SV78 )
= $true )
| ( ( SV28 = SV78 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1040]) ).
thf(1103,plain,
! [SV78: real,SV28: real] :
( ( ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) )
= $true )
| ( ( SV28 = SV78 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1041]) ).
thf(1104,plain,
! [SV78: real,SV28: real] :
( ( ( SV28 != SV78 )
= $true )
| ( ( ord_less_real @ SV28 @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1042]) ).
thf(1105,plain,
! [SV78: real,SV28: real] :
( ( ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) )
= $true )
| ( ( ord_less_real @ SV28 @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1043]) ).
thf(1106,plain,
! [SV78: real,SV28: real] :
( ( ( SV28 != SV78 )
= $true )
| ( ( ord_less_real @ SV78 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1044]) ).
thf(1107,plain,
! [SV78: real,SV28: real] :
( ( ( ( ord_less_real @ SV28 @ SV78 )
| ( ord_less_real @ SV78 @ SV28 ) )
= $true )
| ( ( ord_less_real @ SV78 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1045]) ).
thf(1108,plain,
! [SV80: real,SV136: nat,SV31: real,SV114: real > nat] :
( ( ( ! [SY422: real,SY423: real] :
( ~ ( ord_less_real @ SY422 @ SY423 )
| ( ord_less_nat @ ( SV114 @ SY422 ) @ ( SV114 @ SY423 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( SV114 @ SV31 ) @ SV136 )
= $true )
| ( ( ( SV114 @ SV80 )
= SV136 )
= $false )
| ( ( ord_less_real @ SV31 @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1109,plain,
! [SV81: nat,SV137: real,SV32: nat,SV115: nat > real] :
( ( ( ! [SY425: nat,SY426: nat] :
( ~ ( ord_less_nat @ SY425 @ SY426 )
| ( ord_less_real @ ( SV115 @ SY425 ) @ ( SV115 @ SY426 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV115 @ SV32 ) @ SV137 )
= $true )
| ( ( ( SV115 @ SV81 )
= SV137 )
= $false )
| ( ( ord_less_nat @ SV32 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1110,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
| ~ ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1048]) ).
thf(1111,plain,
! [SV33: real,SV82: real,SV116: poly_real] :
( ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1112,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
| ~ ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1050]) ).
thf(1113,plain,
! [SV33: real,SV82: real,SV116: poly_real] :
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1050]) ).
thf(1114,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
| ~ ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1051]) ).
thf(1115,plain,
! [SV33: real,SV82: real,SV116: poly_real] :
( ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1051]) ).
thf(1116,plain,
! [SV150: real,SV83: poly_real] :
( ( ( ~ ~ ( ( ( poly_real2 @ SV83 @ SV150 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV150 )
!= zero_zero_real ) ) )
= $true )
| ( ( rsquarefree_real @ SV83 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1053]) ).
thf(1117,plain,
! [SV83: poly_real] :
( ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
!= zero_zero_real )
= $false )
| ( ( ~ ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1118,plain,
! [SV83: poly_real] :
( ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
!= zero_zero_real )
= $false )
| ( ( ~ ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1119,plain,
! [SV117: nat,SV138: nat,SV35: real,SV84: nat > real] :
( ( ( ! [SY368: nat,SY369: nat] :
( ~ ( ord_less_nat @ SY368 @ SY369 )
| ( ord_less_real @ ( SV84 @ SY368 ) @ ( SV84 @ SY369 ) ) ) )
= $false )
| ( ( ord_less_real @ SV35 @ ( SV84 @ SV138 ) )
= $true )
| ( ( ord_less_nat @ SV117 @ SV138 )
= $false )
| ( ( SV35
= ( SV84 @ SV117 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1120,plain,
! [SV118: real,SV139: real,SV36: nat,SV85: real > nat] :
( ( ( ! [SY372: real,SY373: real] :
( ~ ( ord_less_real @ SY372 @ SY373 )
| ( ord_less_nat @ ( SV85 @ SY372 ) @ ( SV85 @ SY373 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV36 @ ( SV85 @ SV139 ) )
= $true )
| ( ( ord_less_real @ SV118 @ SV139 )
= $false )
| ( ( SV36
= ( SV85 @ SV118 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1121,plain,
! [SV91: real,SV42: real] :
( ( ( ord_less_real @ SV42 @ ( sK9_SY377 @ SV91 @ SV42 ) )
= $true )
| ( ( ord_less_real @ SV42 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1057]) ).
thf(1122,plain,
! [SV42: real,SV91: real] :
( ( ( ord_less_real @ ( sK9_SY377 @ SV91 @ SV42 ) @ SV91 )
= $true )
| ( ( ord_less_real @ SV42 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1058]) ).
thf(1123,plain,
! [SV123: poly_real,SV93: real,SV44: real] :
( ( ( ! [SY436: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV44 @ SY436 )
| ~ ( ord_less_real @ SY436 @ SV93 ) )
| ( ( poly_real2 @ SV123 @ SY436 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1124,plain,
! [SV124: poly_real,SV94: real,SV45: real] :
( ( ( ! [SY437: real] :
~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV45 @ SY437 )
| ~ ( ord_less_real @ SY437 @ SV94 ) )
| ( ( poly_real2 @ SV124 @ SY437 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1125,plain,
! [SV125: real,SV140: real,SV46: real,SV95: real > real] :
( ( ( ! [SY385: real,SY386: real] :
( ~ ( ord_less_real @ SY385 @ SY386 )
| ( ord_less_real @ ( SV95 @ SY385 ) @ ( SV95 @ SY386 ) ) ) )
= $false )
| ( ( ord_less_real @ SV46 @ ( SV95 @ SV140 ) )
= $true )
| ( ( ord_less_real @ SV125 @ SV140 )
= $false )
| ( ( SV46
= ( SV95 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1126,plain,
! [SV126: real,SV141: real,SV47: real,SV96: real > real] :
( ( ( ! [SY389: real,SY390: real] :
( ~ ( ord_less_real @ SY389 @ SY390 )
| ( ord_less_real @ ( SV96 @ SY389 ) @ ( SV96 @ SY390 ) ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV141 ) )
= $true )
| ( ( ord_less_real @ SV126 @ SV141 )
= $false )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV126 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1127,plain,
( ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $false )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1128,plain,
( ( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
= $true )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1129,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
= $true )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1130,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
| ~ ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1131,plain,
! [SV51: real,SV100: real,SV128: poly_real] :
( ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1132,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
| ~ ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1069]) ).
thf(1133,plain,
! [SV51: real,SV100: real,SV128: poly_real] :
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1069]) ).
thf(1134,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
| ~ ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1135,plain,
! [SV51: real,SV100: real,SV128: poly_real] :
( ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1136,plain,
! [SV55: real,SV102: real] :
( ( ( ord_less_real @ SV102 @ SV55 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_real @ SV102 @ SV55 )
| ( SV102 != SV55 ) ) )
= $true )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1137,plain,
! [SV55: real,SV102: real] :
( ( ( ~ ~ ( ord_less_real @ SV102 @ SV55 )
| ( SV102 != SV55 ) )
= $false )
| ( ( SV102 = SV55 )
= $false )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1138,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $true )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV146 @ SV59 @ SV4 ) )
= ( poly_real2 @ SV59 @ ( sK12_SV146 @ SV59 @ SV4 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1139,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( SV4 = SV59 )
= $true )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV146 @ SV59 @ SV4 ) )
= ( poly_real2 @ SV59 @ ( sK12_SV146 @ SV59 @ SV4 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1140,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ! [SV151: real] :
( ( poly_real2 @ SV4 @ SV151 )
= ( poly_real2 @ SV59 @ SV151 ) ) )
= $true )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1076]) ).
thf(1141,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $true )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1076]) ).
thf(1142,plain,
! [SV59: poly_real,SV152: real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 @ SV152 )
= ( poly_real2 @ SV59 @ SV152 ) )
= $true )
| ( ( SV4 = SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1078]) ).
thf(1143,plain,
! [SV129: real,SV60: real] :
( ( ( ord_less_eq_real @ SV60 @ SV129 )
= $true )
| ( ( ord_less_eq_real @ SV60 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1080]) ).
thf(1144,plain,
! [SV129: real,SV60: real] :
( ( ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) )
= $true )
| ( ( ord_less_eq_real @ SV60 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1145,plain,
! [SV129: real,SV60: real] :
( ( ( ~ ( ord_less_eq_real @ SV60 @ SV129 ) )
= $false )
| ( ( ord_less_real @ SV60 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1082]) ).
thf(1146,plain,
! [SV129: real,SV60: real] :
( ( ( ~ ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) )
= $false )
| ( ( ord_less_real @ SV60 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1082]) ).
thf(1147,plain,
! [SV129: real,SV60: real] :
( ( ( ~ ( ord_less_eq_real @ SV60 @ SV129 ) )
= $false )
| ( ( SV60 = SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1148,plain,
! [SV129: real,SV60: real] :
( ( ( ~ ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) ) )
= $false )
| ( ( SV60 = SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1149,plain,
! [SV61: real,SV6: real] :
( ( ( ord_less_eq_real @ SV6 @ SV61 )
= $false )
| ( ( ord_less_eq_real @ SV6 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1150,plain,
! [SV62: real,SV7: real] :
( ( ( ord_less_real @ SV7 @ SV62 )
= $false )
| ( ( ord_less_real @ SV7 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1087]) ).
thf(1151,plain,
! [SV7: real,SV62: real] :
( ( ( ord_less_real @ SV62 @ SV7 )
= $true )
| ( ( SV7 = SV62 )
= $true )
| ( ( ord_less_real @ SV7 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1152,plain,
! [SV62: real,SV7: real] :
( ( ( ord_less_real @ SV7 @ SV62 )
= $false )
| ( ( ord_less_real @ SV62 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1153,plain,
! [SV7: real,SV62: real] :
( ( ( ord_less_real @ SV62 @ SV7 )
= $true )
| ( ( SV7 = SV62 )
= $true )
| ( ( ord_less_real @ SV62 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1090]) ).
thf(1154,plain,
! [SV62: real,SV7: real] :
( ( ( ord_less_real @ SV7 @ SV62 )
= $false )
| ( ( SV7 = SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1155,plain,
! [SV7: real,SV62: real] :
( ( ( ord_less_real @ SV62 @ SV7 )
= $true )
| ( ( SV7 = SV62 )
= $true )
| ( ( SV7 = SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1092]) ).
thf(1156,plain,
! [SV106: nat > real,SV13: nat,SV130: real,SV65: nat] :
( ( ( ! [SY474: nat] :
( ~ ( ord_less_nat @ ( sK20_SY397 @ SV65 @ SV130 @ SV13 @ SV106 ) @ SY474 )
| ( ord_less_real @ ( SV106 @ ( sK20_SY397 @ SV65 @ SV130 @ SV13 @ SV106 ) ) @ ( SV106 @ SY474 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV106 @ SV13 ) @ SV130 )
= $true )
| ( ( ord_less_real @ ( SV106 @ SV65 ) @ SV130 )
= $false )
| ( ( ord_less_nat @ SV13 @ SV65 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1093]) ).
thf(1157,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ! [SY205: real] : ( SV14 @ SY205 @ SY205 ) )
= $false )
| ( ( ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true )
| ( ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1158,plain,
! [SV66: real,SV107: real,SV14: real > real > $o] :
( ( ( SV14 @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true )
| ( ( SV14 @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1095]) ).
thf(1159,plain,
! [SV108: real > nat,SV16: real,SV131: nat,SV68: real] :
( ( ( ! [SY475: real] :
( ~ ( ord_less_real @ ( sK22_SY405 @ SV68 @ SV131 @ SV16 @ SV108 ) @ SY475 )
| ( ord_less_nat @ ( SV108 @ ( sK22_SY405 @ SV68 @ SV131 @ SV16 @ SV108 ) ) @ ( SV108 @ SY475 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( SV108 @ SV16 ) @ SV131 )
= $true )
| ( ( ord_less_nat @ ( SV108 @ SV68 ) @ SV131 )
= $false )
| ( ( ord_less_real @ SV16 @ SV68 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1096]) ).
thf(1160,plain,
! [SV69: nat > real,SV17: real,SV132: nat,SV109: nat] :
( ( ( ! [SY476: nat] :
( ~ ( ord_less_nat @ ( sK23_SY337 @ SV109 @ SV132 @ SV17 @ SV69 ) @ SY476 )
| ( ord_less_real @ ( SV69 @ ( sK23_SY337 @ SV109 @ SV132 @ SV17 @ SV69 ) ) @ ( SV69 @ SY476 ) ) ) )
= $false )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV132 ) )
= $true )
| ( ( ord_less_nat @ SV109 @ SV132 )
= $false )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV109 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1097]) ).
thf(1161,plain,
! [SV70: real > nat,SV18: nat,SV133: real,SV110: real] :
( ( ( ! [SY477: real] :
( ~ ( ord_less_real @ ( sK24_SY341 @ SV110 @ SV133 @ SV18 @ SV70 ) @ SY477 )
| ( ord_less_nat @ ( SV70 @ ( sK24_SY341 @ SV110 @ SV133 @ SV18 @ SV70 ) ) @ ( SV70 @ SY477 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV133 ) )
= $true )
| ( ( ord_less_real @ SV110 @ SV133 )
= $false )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1098]) ).
thf(1162,plain,
! [SV111: real > real,SV19: real,SV134: real,SV71: real] :
( ( ( ! [SY478: real] :
( ~ ( ord_less_real @ ( sK25_SY414 @ SV71 @ SV134 @ SV19 @ SV111 ) @ SY478 )
| ( ord_less_real @ ( SV111 @ ( sK25_SY414 @ SV71 @ SV134 @ SV19 @ SV111 ) ) @ ( SV111 @ SY478 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV111 @ SV19 ) @ SV134 )
= $true )
| ( ( ord_less_real @ ( SV111 @ SV71 ) @ SV134 )
= $false )
| ( ( ord_less_real @ SV19 @ SV71 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1099]) ).
thf(1163,plain,
! [SV112: real > real,SV22: real,SV135: real,SV73: real] :
( ( ( ! [SY479: real] :
( ~ ( ord_less_real @ ( sK26_SY417 @ SV73 @ SV135 @ SV22 @ SV112 ) @ SY479 )
| ( ord_less_real @ ( SV112 @ ( sK26_SY417 @ SV73 @ SV135 @ SV22 @ SV112 ) ) @ ( SV112 @ SY479 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV112 @ SV22 ) @ SV135 )
= $true )
| ( ( ( SV112 @ SV73 )
= SV135 )
= $false )
| ( ( ord_less_real @ SV22 @ SV73 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1100]) ).
thf(1164,plain,
! [SV26: real,SV76: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sK13_SY351 @ SV76 @ SV26 ) )
| ~ ( ord_less_real @ ( sK13_SY351 @ SV76 @ SV26 ) @ SV26 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1165,plain,
! [SV26: real,SV76: real] :
( ( ( ~ ( ord_less_real @ ( sK13_SY351 @ SV76 @ SV26 ) @ SV76 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1166,plain,
! [SV78: real,SV28: real] :
( ( ( SV28 = SV78 )
= $false )
| ( ( SV28 = SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1167,plain,
! [SV78: real,SV28: real] :
( ( ( ord_less_real @ SV28 @ SV78 )
= $true )
| ( ( ord_less_real @ SV78 @ SV28 )
= $true )
| ( ( SV28 = SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1103]) ).
thf(1168,plain,
! [SV78: real,SV28: real] :
( ( ( SV28 = SV78 )
= $false )
| ( ( ord_less_real @ SV28 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1169,plain,
! [SV78: real,SV28: real] :
( ( ( ord_less_real @ SV28 @ SV78 )
= $true )
| ( ( ord_less_real @ SV78 @ SV28 )
= $true )
| ( ( ord_less_real @ SV28 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1105]) ).
thf(1170,plain,
! [SV78: real,SV28: real] :
( ( ( SV28 = SV78 )
= $false )
| ( ( ord_less_real @ SV78 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1171,plain,
! [SV78: real,SV28: real] :
( ( ( ord_less_real @ SV28 @ SV78 )
= $true )
| ( ( ord_less_real @ SV78 @ SV28 )
= $true )
| ( ( ord_less_real @ SV78 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1107]) ).
thf(1172,plain,
! [SV114: real > nat,SV31: real,SV136: nat,SV80: real] :
( ( ( ! [SY480: real] :
( ~ ( ord_less_real @ ( sK27_SY422 @ SV80 @ SV136 @ SV31 @ SV114 ) @ SY480 )
| ( ord_less_nat @ ( SV114 @ ( sK27_SY422 @ SV80 @ SV136 @ SV31 @ SV114 ) ) @ ( SV114 @ SY480 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( SV114 @ SV31 ) @ SV136 )
= $true )
| ( ( ( SV114 @ SV80 )
= SV136 )
= $false )
| ( ( ord_less_real @ SV31 @ SV80 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1108]) ).
thf(1173,plain,
! [SV115: nat > real,SV32: nat,SV137: real,SV81: nat] :
( ( ( ! [SY481: nat] :
( ~ ( ord_less_nat @ ( sK28_SY425 @ SV81 @ SV137 @ SV32 @ SV115 ) @ SY481 )
| ( ord_less_real @ ( SV115 @ ( sK28_SY425 @ SV81 @ SV137 @ SV32 @ SV115 ) ) @ ( SV115 @ SY481 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV115 @ SV32 ) @ SV137 )
= $true )
| ( ( ( SV115 @ SV81 )
= SV137 )
= $false )
| ( ( ord_less_nat @ SV32 @ SV81 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1109]) ).
thf(1174,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
| ~ ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1175,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1176,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
| ~ ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1112]) ).
thf(1177,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1178,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
| ~ ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1114]) ).
thf(1179,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1180,plain,
! [SV150: real,SV83: poly_real] :
( ( ( ~ ( ( ( poly_real2 @ SV83 @ SV150 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV150 )
!= zero_zero_real ) ) )
= $false )
| ( ( rsquarefree_real @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1181,plain,
! [SV83: poly_real] :
( ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true )
| ( ( ~ ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1117]) ).
thf(1182,plain,
! [SV83: poly_real] :
( ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true )
| ( ( ~ ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1118]) ).
thf(1183,plain,
! [SV84: nat > real,SV35: real,SV138: nat,SV117: nat] :
( ( ( ! [SY482: nat] :
( ~ ( ord_less_nat @ ( sK29_SY368 @ SV117 @ SV138 @ SV35 @ SV84 ) @ SY482 )
| ( ord_less_real @ ( SV84 @ ( sK29_SY368 @ SV117 @ SV138 @ SV35 @ SV84 ) ) @ ( SV84 @ SY482 ) ) ) )
= $false )
| ( ( ord_less_real @ SV35 @ ( SV84 @ SV138 ) )
= $true )
| ( ( ord_less_nat @ SV117 @ SV138 )
= $false )
| ( ( SV35
= ( SV84 @ SV117 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1119]) ).
thf(1184,plain,
! [SV85: real > nat,SV36: nat,SV139: real,SV118: real] :
( ( ( ! [SY483: real] :
( ~ ( ord_less_real @ ( sK30_SY372 @ SV118 @ SV139 @ SV36 @ SV85 ) @ SY483 )
| ( ord_less_nat @ ( SV85 @ ( sK30_SY372 @ SV118 @ SV139 @ SV36 @ SV85 ) ) @ ( SV85 @ SY483 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV36 @ ( SV85 @ SV139 ) )
= $true )
| ( ( ord_less_real @ SV118 @ SV139 )
= $false )
| ( ( SV36
= ( SV85 @ SV118 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1120]) ).
thf(1185,plain,
! [SV93: real,SV123: poly_real,SV44: real] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV44 @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) )
| ~ ( ord_less_real @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) @ SV93 ) )
| ( ( poly_real2 @ SV123 @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1123]) ).
thf(1186,plain,
! [SV94: real,SV124: poly_real,SV45: real] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ord_less_real @ SV45 @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) )
| ~ ( ord_less_real @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) @ SV94 ) )
| ( ( poly_real2 @ SV124 @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1124]) ).
thf(1187,plain,
! [SV95: real > real,SV46: real,SV140: real,SV125: real] :
( ( ( ! [SY484: real] :
( ~ ( ord_less_real @ ( sK33_SY385 @ SV125 @ SV140 @ SV46 @ SV95 ) @ SY484 )
| ( ord_less_real @ ( SV95 @ ( sK33_SY385 @ SV125 @ SV140 @ SV46 @ SV95 ) ) @ ( SV95 @ SY484 ) ) ) )
= $false )
| ( ( ord_less_real @ SV46 @ ( SV95 @ SV140 ) )
= $true )
| ( ( ord_less_real @ SV125 @ SV140 )
= $false )
| ( ( SV46
= ( SV95 @ SV125 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1125]) ).
thf(1188,plain,
! [SV96: real > real,SV47: real,SV141: real,SV126: real] :
( ( ( ! [SY485: real] :
( ~ ( ord_less_real @ ( sK34_SY389 @ SV126 @ SV141 @ SV47 @ SV96 ) @ SY485 )
| ( ord_less_real @ ( SV96 @ ( sK34_SY389 @ SV126 @ SV141 @ SV47 @ SV96 ) ) @ ( SV96 @ SY485 ) ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV141 ) )
= $true )
| ( ( ord_less_real @ SV126 @ SV141 )
= $false )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV126 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1126]) ).
thf(1189,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1127]) ).
thf(1190,plain,
( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1128]) ).
thf(1191,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1129]) ).
thf(1192,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
| ~ ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1193,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1194,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
| ~ ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1132]) ).
thf(1195,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1196,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
| ~ ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1134]) ).
thf(1197,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1198,plain,
! [SV55: real,SV102: real] :
( ( ( ~ ~ ( ord_less_real @ SV102 @ SV55 )
| ( SV102 != SV55 ) )
= $false )
| ( ( ord_less_real @ SV102 @ SV55 )
= $true )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1199,plain,
! [SV55: real,SV102: real] :
( ( ( ~ ~ ( ord_less_real @ SV102 @ SV55 ) )
= $false )
| ( ( SV102 = SV55 )
= $false )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1137]) ).
thf(1200,plain,
! [SV55: real,SV102: real] :
( ( ( SV102 != SV55 )
= $false )
| ( ( SV102 = SV55 )
= $false )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1137]) ).
thf(1201,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ! [SV153: real] :
( ( poly_real2 @ SV4 @ SV153 )
= ( poly_real2 @ SV59 @ SV153 ) ) )
= $true )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV146 @ SV59 @ SV4 ) )
= ( poly_real2 @ SV59 @ ( sK12_SV146 @ SV59 @ SV4 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1138]) ).
thf(1202,plain,
! [SV59: poly_real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $true )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV146 @ SV59 @ SV4 ) )
= ( poly_real2 @ SV59 @ ( sK12_SV146 @ SV59 @ SV4 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1138]) ).
thf(1203,plain,
! [SV59: poly_real,SV154: real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 @ SV154 )
= ( poly_real2 @ SV59 @ SV154 ) )
= $true )
| ( ( ( poly_real2 @ SV4 )
= ( poly_real2 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1204,plain,
! [SV129: real,SV60: real] :
( ( ( ord_less_real @ SV60 @ SV129 )
= $true )
| ( ( SV60 = SV129 )
= $true )
| ( ( ord_less_eq_real @ SV60 @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1205,plain,
! [SV129: real,SV60: real] :
( ( ( ord_less_eq_real @ SV60 @ SV129 )
= $true )
| ( ( ord_less_real @ SV60 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1206,plain,
! [SV129: real,SV60: real] :
( ( ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) )
= $true )
| ( ( ord_less_real @ SV60 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1146]) ).
thf(1207,plain,
! [SV129: real,SV60: real] :
( ( ( ord_less_eq_real @ SV60 @ SV129 )
= $true )
| ( ( SV60 = SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1208,plain,
! [SV129: real,SV60: real] :
( ( ( ( ord_less_real @ SV60 @ SV129 )
| ( SV60 = SV129 ) )
= $true )
| ( ( SV60 = SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1209,plain,
! [SV106: nat > real,SV13: nat,SV130: real,SV65: nat] :
( ( ( ~ ( ord_less_nat @ ( sK20_SY397 @ SV65 @ SV130 @ SV13 @ SV106 ) @ ( sK35_SY474 @ SV106 @ SV13 @ SV130 @ SV65 ) )
| ( ord_less_real @ ( SV106 @ ( sK20_SY397 @ SV65 @ SV130 @ SV13 @ SV106 ) ) @ ( SV106 @ ( sK35_SY474 @ SV106 @ SV13 @ SV130 @ SV65 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV106 @ SV13 ) @ SV130 )
= $true )
| ( ( ord_less_real @ ( SV106 @ SV65 ) @ SV130 )
= $false )
| ( ( ord_less_nat @ SV13 @ SV65 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1156]) ).
thf(1210,plain,
! [SV66: real,SV107: real,SV14: real > real > $o] :
( ( ( SV14 @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) )
| ( SV14 @ SV66 @ SV107 ) )
= $true )
| ( ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1157]) ).
thf(1211,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) ) )
= $true )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( SV14 @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1158]) ).
thf(1212,plain,
! [SV108: real > nat,SV16: real,SV131: nat,SV68: real] :
( ( ( ~ ( ord_less_real @ ( sK22_SY405 @ SV68 @ SV131 @ SV16 @ SV108 ) @ ( sK37_SY475 @ SV108 @ SV16 @ SV131 @ SV68 ) )
| ( ord_less_nat @ ( SV108 @ ( sK22_SY405 @ SV68 @ SV131 @ SV16 @ SV108 ) ) @ ( SV108 @ ( sK37_SY475 @ SV108 @ SV16 @ SV131 @ SV68 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( SV108 @ SV16 ) @ SV131 )
= $true )
| ( ( ord_less_nat @ ( SV108 @ SV68 ) @ SV131 )
= $false )
| ( ( ord_less_real @ SV16 @ SV68 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1159]) ).
thf(1213,plain,
! [SV69: nat > real,SV17: real,SV132: nat,SV109: nat] :
( ( ( ~ ( ord_less_nat @ ( sK23_SY337 @ SV109 @ SV132 @ SV17 @ SV69 ) @ ( sK38_SY476 @ SV69 @ SV17 @ SV132 @ SV109 ) )
| ( ord_less_real @ ( SV69 @ ( sK23_SY337 @ SV109 @ SV132 @ SV17 @ SV69 ) ) @ ( SV69 @ ( sK38_SY476 @ SV69 @ SV17 @ SV132 @ SV109 ) ) ) )
= $false )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV132 ) )
= $true )
| ( ( ord_less_nat @ SV109 @ SV132 )
= $false )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV109 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1160]) ).
thf(1214,plain,
! [SV70: real > nat,SV18: nat,SV133: real,SV110: real] :
( ( ( ~ ( ord_less_real @ ( sK24_SY341 @ SV110 @ SV133 @ SV18 @ SV70 ) @ ( sK39_SY477 @ SV70 @ SV18 @ SV133 @ SV110 ) )
| ( ord_less_nat @ ( SV70 @ ( sK24_SY341 @ SV110 @ SV133 @ SV18 @ SV70 ) ) @ ( SV70 @ ( sK39_SY477 @ SV70 @ SV18 @ SV133 @ SV110 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV133 ) )
= $true )
| ( ( ord_less_real @ SV110 @ SV133 )
= $false )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV110 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1161]) ).
thf(1215,plain,
! [SV111: real > real,SV19: real,SV134: real,SV71: real] :
( ( ( ~ ( ord_less_real @ ( sK25_SY414 @ SV71 @ SV134 @ SV19 @ SV111 ) @ ( sK40_SY478 @ SV111 @ SV19 @ SV134 @ SV71 ) )
| ( ord_less_real @ ( SV111 @ ( sK25_SY414 @ SV71 @ SV134 @ SV19 @ SV111 ) ) @ ( SV111 @ ( sK40_SY478 @ SV111 @ SV19 @ SV134 @ SV71 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV111 @ SV19 ) @ SV134 )
= $true )
| ( ( ord_less_real @ ( SV111 @ SV71 ) @ SV134 )
= $false )
| ( ( ord_less_real @ SV19 @ SV71 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1162]) ).
thf(1216,plain,
! [SV112: real > real,SV22: real,SV135: real,SV73: real] :
( ( ( ~ ( ord_less_real @ ( sK26_SY417 @ SV73 @ SV135 @ SV22 @ SV112 ) @ ( sK41_SY479 @ SV112 @ SV22 @ SV135 @ SV73 ) )
| ( ord_less_real @ ( SV112 @ ( sK26_SY417 @ SV73 @ SV135 @ SV22 @ SV112 ) ) @ ( SV112 @ ( sK41_SY479 @ SV112 @ SV22 @ SV135 @ SV73 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV112 @ SV22 ) @ SV135 )
= $true )
| ( ( ( SV112 @ SV73 )
= SV135 )
= $false )
| ( ( ord_less_real @ SV22 @ SV73 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1163]) ).
thf(1217,plain,
! [SV26: real,SV76: real] :
( ( ( ~ ( ~ ( ord_less_real @ zero_zero_real @ ( sK13_SY351 @ SV76 @ SV26 ) )
| ~ ( ord_less_real @ ( sK13_SY351 @ SV76 @ SV26 ) @ SV26 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1218,plain,
! [SV26: real,SV76: real] :
( ( ( ord_less_real @ ( sK13_SY351 @ SV76 @ SV26 ) @ SV76 )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1219,plain,
! [SV114: real > nat,SV31: real,SV136: nat,SV80: real] :
( ( ( ~ ( ord_less_real @ ( sK27_SY422 @ SV80 @ SV136 @ SV31 @ SV114 ) @ ( sK42_SY480 @ SV114 @ SV31 @ SV136 @ SV80 ) )
| ( ord_less_nat @ ( SV114 @ ( sK27_SY422 @ SV80 @ SV136 @ SV31 @ SV114 ) ) @ ( SV114 @ ( sK42_SY480 @ SV114 @ SV31 @ SV136 @ SV80 ) ) ) )
= $false )
| ( ( ord_less_nat @ ( SV114 @ SV31 ) @ SV136 )
= $true )
| ( ( ( SV114 @ SV80 )
= SV136 )
= $false )
| ( ( ord_less_real @ SV31 @ SV80 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1172]) ).
thf(1220,plain,
! [SV115: nat > real,SV32: nat,SV137: real,SV81: nat] :
( ( ( ~ ( ord_less_nat @ ( sK28_SY425 @ SV81 @ SV137 @ SV32 @ SV115 ) @ ( sK43_SY481 @ SV115 @ SV32 @ SV137 @ SV81 ) )
| ( ord_less_real @ ( SV115 @ ( sK28_SY425 @ SV81 @ SV137 @ SV32 @ SV115 ) ) @ ( SV115 @ ( sK43_SY481 @ SV115 @ SV32 @ SV137 @ SV81 ) ) ) )
= $false )
| ( ( ord_less_real @ ( SV115 @ SV32 ) @ SV137 )
= $true )
| ( ( ( SV115 @ SV81 )
= SV137 )
= $false )
| ( ( ord_less_nat @ SV32 @ SV81 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1173]) ).
thf(1221,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1174]) ).
thf(1222,plain,
! [SV33: real,SV82: real,SV116: poly_real] :
( ( ( ~ ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1174]) ).
thf(1223,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $false )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1175]) ).
thf(1224,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1175]) ).
thf(1225,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
| ~ ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1176]) ).
thf(1226,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1177]) ).
thf(1227,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1177]) ).
thf(1228,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
| ~ ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1178]) ).
thf(1229,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1179]) ).
thf(1230,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1179]) ).
thf(1231,plain,
! [SV150: real,SV83: poly_real] :
( ( ( ( ( poly_real2 @ SV83 @ SV150 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV150 )
!= zero_zero_real ) )
= $true )
| ( ( rsquarefree_real @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1232,plain,
! [SV83: poly_real] :
( ( ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) )
= $false )
| ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1233,plain,
! [SV83: poly_real] :
( ( ( ~ ( rsquarefree_real @ SV83 )
| ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) )
= $false )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1234,plain,
! [SV84: nat > real,SV35: real,SV138: nat,SV117: nat] :
( ( ( ~ ( ord_less_nat @ ( sK29_SY368 @ SV117 @ SV138 @ SV35 @ SV84 ) @ ( sK44_SY482 @ SV84 @ SV35 @ SV138 @ SV117 ) )
| ( ord_less_real @ ( SV84 @ ( sK29_SY368 @ SV117 @ SV138 @ SV35 @ SV84 ) ) @ ( SV84 @ ( sK44_SY482 @ SV84 @ SV35 @ SV138 @ SV117 ) ) ) )
= $false )
| ( ( ord_less_real @ SV35 @ ( SV84 @ SV138 ) )
= $true )
| ( ( ord_less_nat @ SV117 @ SV138 )
= $false )
| ( ( SV35
= ( SV84 @ SV117 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1183]) ).
thf(1235,plain,
! [SV85: real > nat,SV36: nat,SV139: real,SV118: real] :
( ( ( ~ ( ord_less_real @ ( sK30_SY372 @ SV118 @ SV139 @ SV36 @ SV85 ) @ ( sK45_SY483 @ SV85 @ SV36 @ SV139 @ SV118 ) )
| ( ord_less_nat @ ( SV85 @ ( sK30_SY372 @ SV118 @ SV139 @ SV36 @ SV85 ) ) @ ( SV85 @ ( sK45_SY483 @ SV85 @ SV36 @ SV139 @ SV118 ) ) ) )
= $false )
| ( ( ord_less_nat @ SV36 @ ( SV85 @ SV139 ) )
= $true )
| ( ( ord_less_real @ SV118 @ SV139 )
= $false )
| ( ( SV36
= ( SV85 @ SV118 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1184]) ).
thf(1236,plain,
! [SV93: real,SV123: poly_real,SV44: real] :
( ( ( ~ ( ~ ~ ( ~ ( ord_less_real @ SV44 @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) )
| ~ ( ord_less_real @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) @ SV93 ) )
| ( ( poly_real2 @ SV123 @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1185]) ).
thf(1237,plain,
! [SV94: real,SV124: poly_real,SV45: real] :
( ( ( ~ ( ~ ~ ( ~ ( ord_less_real @ SV45 @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) )
| ~ ( ord_less_real @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) @ SV94 ) )
| ( ( poly_real2 @ SV124 @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1186]) ).
thf(1238,plain,
! [SV95: real > real,SV46: real,SV140: real,SV125: real] :
( ( ( ~ ( ord_less_real @ ( sK33_SY385 @ SV125 @ SV140 @ SV46 @ SV95 ) @ ( sK46_SY484 @ SV95 @ SV46 @ SV140 @ SV125 ) )
| ( ord_less_real @ ( SV95 @ ( sK33_SY385 @ SV125 @ SV140 @ SV46 @ SV95 ) ) @ ( SV95 @ ( sK46_SY484 @ SV95 @ SV46 @ SV140 @ SV125 ) ) ) )
= $false )
| ( ( ord_less_real @ SV46 @ ( SV95 @ SV140 ) )
= $true )
| ( ( ord_less_real @ SV125 @ SV140 )
= $false )
| ( ( SV46
= ( SV95 @ SV125 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1187]) ).
thf(1239,plain,
! [SV96: real > real,SV47: real,SV141: real,SV126: real] :
( ( ( ~ ( ord_less_real @ ( sK34_SY389 @ SV126 @ SV141 @ SV47 @ SV96 ) @ ( sK47_SY485 @ SV96 @ SV47 @ SV141 @ SV126 ) )
| ( ord_less_real @ ( SV96 @ ( sK34_SY389 @ SV126 @ SV141 @ SV47 @ SV96 ) ) @ ( SV96 @ ( sK47_SY485 @ SV96 @ SV47 @ SV141 @ SV126 ) ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV141 ) )
= $true )
| ( ( ord_less_real @ SV126 @ SV141 )
= $false )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV126 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1188]) ).
thf(1240,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1241,plain,
( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1190]) ).
thf(1242,plain,
( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1191]) ).
thf(1243,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1244,plain,
! [SV51: real,SV100: real,SV128: poly_real] :
( ( ( ~ ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1245,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $false )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1193]) ).
thf(1246,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1193]) ).
thf(1247,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
| ~ ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1248,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1195]) ).
thf(1249,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1195]) ).
thf(1250,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
| ~ ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1251,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1252,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1253,plain,
! [SV55: real,SV102: real] :
( ( ( ~ ~ ( ord_less_real @ SV102 @ SV55 ) )
= $false )
| ( ( ord_less_real @ SV102 @ SV55 )
= $true )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1254,plain,
! [SV55: real,SV102: real] :
( ( ( SV102 != SV55 )
= $false )
| ( ( ord_less_real @ SV102 @ SV55 )
= $true )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1255,plain,
! [SV55: real,SV102: real] :
( ( ( ~ ( ord_less_real @ SV102 @ SV55 ) )
= $true )
| ( ( SV102 = SV55 )
= $false )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1256,plain,
! [SV55: real,SV102: real] :
( ( ( SV102 = SV55 )
= $true )
| ( ( SV102 = SV55 )
= $false )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1200]) ).
thf(1257,plain,
! [SV59: poly_real,SV155: real,SV4: poly_real] :
( ( ( ( poly_real2 @ SV4 @ SV155 )
= ( poly_real2 @ SV59 @ SV155 ) )
= $true )
| ( ( ( poly_real2 @ SV4 @ ( sK12_SV146 @ SV59 @ SV4 ) )
= ( poly_real2 @ SV59 @ ( sK12_SV146 @ SV59 @ SV4 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1201]) ).
thf(1258,plain,
! [SV129: real,SV60: real] :
( ( ( ord_less_real @ SV60 @ SV129 )
= $true )
| ( ( SV60 = SV129 )
= $true )
| ( ( ord_less_real @ SV60 @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1206]) ).
thf(1259,plain,
! [SV129: real,SV60: real] :
( ( ( ord_less_real @ SV60 @ SV129 )
= $true )
| ( ( SV60 = SV129 )
= $true )
| ( ( SV60 = SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1208]) ).
thf(1260,plain,
! [SV106: nat > real,SV13: nat,SV130: real,SV65: nat] :
( ( ( ~ ( ord_less_nat @ ( sK20_SY397 @ SV65 @ SV130 @ SV13 @ SV106 ) @ ( sK35_SY474 @ SV106 @ SV13 @ SV130 @ SV65 ) ) )
= $false )
| ( ( ord_less_real @ ( SV106 @ SV13 ) @ SV130 )
= $true )
| ( ( ord_less_real @ ( SV106 @ SV65 ) @ SV130 )
= $false )
| ( ( ord_less_nat @ SV13 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1209]) ).
thf(1261,plain,
! [SV13: nat,SV130: real,SV65: nat,SV106: nat > real] :
( ( ( ord_less_real @ ( SV106 @ ( sK20_SY397 @ SV65 @ SV130 @ SV13 @ SV106 ) ) @ ( SV106 @ ( sK35_SY474 @ SV106 @ SV13 @ SV130 @ SV65 ) ) )
= $false )
| ( ( ord_less_real @ ( SV106 @ SV13 ) @ SV130 )
= $true )
| ( ( ord_less_real @ ( SV106 @ SV65 ) @ SV130 )
= $false )
| ( ( ord_less_nat @ SV13 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1209]) ).
thf(1262,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ~ ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) ) )
= $true )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1210]) ).
thf(1263,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) ) )
= $false )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( SV14 @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1211]) ).
thf(1264,plain,
! [SV108: real > nat,SV16: real,SV131: nat,SV68: real] :
( ( ( ~ ( ord_less_real @ ( sK22_SY405 @ SV68 @ SV131 @ SV16 @ SV108 ) @ ( sK37_SY475 @ SV108 @ SV16 @ SV131 @ SV68 ) ) )
= $false )
| ( ( ord_less_nat @ ( SV108 @ SV16 ) @ SV131 )
= $true )
| ( ( ord_less_nat @ ( SV108 @ SV68 ) @ SV131 )
= $false )
| ( ( ord_less_real @ SV16 @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1212]) ).
thf(1265,plain,
! [SV16: real,SV131: nat,SV68: real,SV108: real > nat] :
( ( ( ord_less_nat @ ( SV108 @ ( sK22_SY405 @ SV68 @ SV131 @ SV16 @ SV108 ) ) @ ( SV108 @ ( sK37_SY475 @ SV108 @ SV16 @ SV131 @ SV68 ) ) )
= $false )
| ( ( ord_less_nat @ ( SV108 @ SV16 ) @ SV131 )
= $true )
| ( ( ord_less_nat @ ( SV108 @ SV68 ) @ SV131 )
= $false )
| ( ( ord_less_real @ SV16 @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1212]) ).
thf(1266,plain,
! [SV69: nat > real,SV17: real,SV132: nat,SV109: nat] :
( ( ( ~ ( ord_less_nat @ ( sK23_SY337 @ SV109 @ SV132 @ SV17 @ SV69 ) @ ( sK38_SY476 @ SV69 @ SV17 @ SV132 @ SV109 ) ) )
= $false )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV132 ) )
= $true )
| ( ( ord_less_nat @ SV109 @ SV132 )
= $false )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV109 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1213]) ).
thf(1267,plain,
! [SV17: real,SV132: nat,SV109: nat,SV69: nat > real] :
( ( ( ord_less_real @ ( SV69 @ ( sK23_SY337 @ SV109 @ SV132 @ SV17 @ SV69 ) ) @ ( SV69 @ ( sK38_SY476 @ SV69 @ SV17 @ SV132 @ SV109 ) ) )
= $false )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV132 ) )
= $true )
| ( ( ord_less_nat @ SV109 @ SV132 )
= $false )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV109 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1213]) ).
thf(1268,plain,
! [SV70: real > nat,SV18: nat,SV133: real,SV110: real] :
( ( ( ~ ( ord_less_real @ ( sK24_SY341 @ SV110 @ SV133 @ SV18 @ SV70 ) @ ( sK39_SY477 @ SV70 @ SV18 @ SV133 @ SV110 ) ) )
= $false )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV133 ) )
= $true )
| ( ( ord_less_real @ SV110 @ SV133 )
= $false )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1214]) ).
thf(1269,plain,
! [SV18: nat,SV133: real,SV110: real,SV70: real > nat] :
( ( ( ord_less_nat @ ( SV70 @ ( sK24_SY341 @ SV110 @ SV133 @ SV18 @ SV70 ) ) @ ( SV70 @ ( sK39_SY477 @ SV70 @ SV18 @ SV133 @ SV110 ) ) )
= $false )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV133 ) )
= $true )
| ( ( ord_less_real @ SV110 @ SV133 )
= $false )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1214]) ).
thf(1270,plain,
! [SV111: real > real,SV19: real,SV134: real,SV71: real] :
( ( ( ~ ( ord_less_real @ ( sK25_SY414 @ SV71 @ SV134 @ SV19 @ SV111 ) @ ( sK40_SY478 @ SV111 @ SV19 @ SV134 @ SV71 ) ) )
= $false )
| ( ( ord_less_real @ ( SV111 @ SV19 ) @ SV134 )
= $true )
| ( ( ord_less_real @ ( SV111 @ SV71 ) @ SV134 )
= $false )
| ( ( ord_less_real @ SV19 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1271,plain,
! [SV19: real,SV134: real,SV71: real,SV111: real > real] :
( ( ( ord_less_real @ ( SV111 @ ( sK25_SY414 @ SV71 @ SV134 @ SV19 @ SV111 ) ) @ ( SV111 @ ( sK40_SY478 @ SV111 @ SV19 @ SV134 @ SV71 ) ) )
= $false )
| ( ( ord_less_real @ ( SV111 @ SV19 ) @ SV134 )
= $true )
| ( ( ord_less_real @ ( SV111 @ SV71 ) @ SV134 )
= $false )
| ( ( ord_less_real @ SV19 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1272,plain,
! [SV112: real > real,SV22: real,SV135: real,SV73: real] :
( ( ( ~ ( ord_less_real @ ( sK26_SY417 @ SV73 @ SV135 @ SV22 @ SV112 ) @ ( sK41_SY479 @ SV112 @ SV22 @ SV135 @ SV73 ) ) )
= $false )
| ( ( ord_less_real @ ( SV112 @ SV22 ) @ SV135 )
= $true )
| ( ( ( SV112 @ SV73 )
= SV135 )
= $false )
| ( ( ord_less_real @ SV22 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1273,plain,
! [SV22: real,SV135: real,SV73: real,SV112: real > real] :
( ( ( ord_less_real @ ( SV112 @ ( sK26_SY417 @ SV73 @ SV135 @ SV22 @ SV112 ) ) @ ( SV112 @ ( sK41_SY479 @ SV112 @ SV22 @ SV135 @ SV73 ) ) )
= $false )
| ( ( ord_less_real @ ( SV112 @ SV22 ) @ SV135 )
= $true )
| ( ( ( SV112 @ SV73 )
= SV135 )
= $false )
| ( ( ord_less_real @ SV22 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1274,plain,
! [SV26: real,SV76: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ ( sK13_SY351 @ SV76 @ SV26 ) )
| ~ ( ord_less_real @ ( sK13_SY351 @ SV76 @ SV26 ) @ SV26 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1217]) ).
thf(1275,plain,
! [SV114: real > nat,SV31: real,SV136: nat,SV80: real] :
( ( ( ~ ( ord_less_real @ ( sK27_SY422 @ SV80 @ SV136 @ SV31 @ SV114 ) @ ( sK42_SY480 @ SV114 @ SV31 @ SV136 @ SV80 ) ) )
= $false )
| ( ( ord_less_nat @ ( SV114 @ SV31 ) @ SV136 )
= $true )
| ( ( ( SV114 @ SV80 )
= SV136 )
= $false )
| ( ( ord_less_real @ SV31 @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1219]) ).
thf(1276,plain,
! [SV31: real,SV136: nat,SV80: real,SV114: real > nat] :
( ( ( ord_less_nat @ ( SV114 @ ( sK27_SY422 @ SV80 @ SV136 @ SV31 @ SV114 ) ) @ ( SV114 @ ( sK42_SY480 @ SV114 @ SV31 @ SV136 @ SV80 ) ) )
= $false )
| ( ( ord_less_nat @ ( SV114 @ SV31 ) @ SV136 )
= $true )
| ( ( ( SV114 @ SV80 )
= SV136 )
= $false )
| ( ( ord_less_real @ SV31 @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1219]) ).
thf(1277,plain,
! [SV115: nat > real,SV32: nat,SV137: real,SV81: nat] :
( ( ( ~ ( ord_less_nat @ ( sK28_SY425 @ SV81 @ SV137 @ SV32 @ SV115 ) @ ( sK43_SY481 @ SV115 @ SV32 @ SV137 @ SV81 ) ) )
= $false )
| ( ( ord_less_real @ ( SV115 @ SV32 ) @ SV137 )
= $true )
| ( ( ( SV115 @ SV81 )
= SV137 )
= $false )
| ( ( ord_less_nat @ SV32 @ SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1278,plain,
! [SV32: nat,SV137: real,SV81: nat,SV115: nat > real] :
( ( ( ord_less_real @ ( SV115 @ ( sK28_SY425 @ SV81 @ SV137 @ SV32 @ SV115 ) ) @ ( SV115 @ ( sK43_SY481 @ SV115 @ SV32 @ SV137 @ SV81 ) ) )
= $false )
| ( ( ord_less_real @ ( SV115 @ SV32 ) @ SV137 )
= $true )
| ( ( ( SV115 @ SV81 )
= SV137 )
= $false )
| ( ( ord_less_nat @ SV32 @ SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1279,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1221]) ).
thf(1280,plain,
! [SV33: real,SV82: real,SV116: poly_real] :
( ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1222]) ).
thf(1281,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1223]) ).
thf(1282,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1224]) ).
thf(1283,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1225]) ).
thf(1284,plain,
! [SV33: real,SV82: real,SV116: poly_real] :
( ( ( ~ ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1225]) ).
thf(1285,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1226]) ).
thf(1286,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1227]) ).
thf(1287,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1288,plain,
! [SV33: real,SV82: real,SV116: poly_real] :
( ( ( ~ ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 ) )
= $false )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1289,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1229]) ).
thf(1290,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1291,plain,
! [SV150: real,SV83: poly_real] :
( ( ( ( poly_real2 @ SV83 @ SV150 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV150 )
!= zero_zero_real )
= $true )
| ( ( rsquarefree_real @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1292,plain,
! [SV83: poly_real] :
( ( ( ~ ( rsquarefree_real @ SV83 ) )
= $false )
| ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1232]) ).
thf(1293,plain,
! [SV83: poly_real] :
( ( ( ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) )
= $false )
| ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1232]) ).
thf(1294,plain,
! [SV83: poly_real] :
( ( ( ~ ( rsquarefree_real @ SV83 ) )
= $false )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1233]) ).
thf(1295,plain,
! [SV83: poly_real] :
( ( ( ~ ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) )
= $false )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1233]) ).
thf(1296,plain,
! [SV84: nat > real,SV35: real,SV138: nat,SV117: nat] :
( ( ( ~ ( ord_less_nat @ ( sK29_SY368 @ SV117 @ SV138 @ SV35 @ SV84 ) @ ( sK44_SY482 @ SV84 @ SV35 @ SV138 @ SV117 ) ) )
= $false )
| ( ( ord_less_real @ SV35 @ ( SV84 @ SV138 ) )
= $true )
| ( ( ord_less_nat @ SV117 @ SV138 )
= $false )
| ( ( SV35
= ( SV84 @ SV117 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1234]) ).
thf(1297,plain,
! [SV35: real,SV138: nat,SV117: nat,SV84: nat > real] :
( ( ( ord_less_real @ ( SV84 @ ( sK29_SY368 @ SV117 @ SV138 @ SV35 @ SV84 ) ) @ ( SV84 @ ( sK44_SY482 @ SV84 @ SV35 @ SV138 @ SV117 ) ) )
= $false )
| ( ( ord_less_real @ SV35 @ ( SV84 @ SV138 ) )
= $true )
| ( ( ord_less_nat @ SV117 @ SV138 )
= $false )
| ( ( SV35
= ( SV84 @ SV117 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1234]) ).
thf(1298,plain,
! [SV85: real > nat,SV36: nat,SV139: real,SV118: real] :
( ( ( ~ ( ord_less_real @ ( sK30_SY372 @ SV118 @ SV139 @ SV36 @ SV85 ) @ ( sK45_SY483 @ SV85 @ SV36 @ SV139 @ SV118 ) ) )
= $false )
| ( ( ord_less_nat @ SV36 @ ( SV85 @ SV139 ) )
= $true )
| ( ( ord_less_real @ SV118 @ SV139 )
= $false )
| ( ( SV36
= ( SV85 @ SV118 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1235]) ).
thf(1299,plain,
! [SV36: nat,SV139: real,SV118: real,SV85: real > nat] :
( ( ( ord_less_nat @ ( SV85 @ ( sK30_SY372 @ SV118 @ SV139 @ SV36 @ SV85 ) ) @ ( SV85 @ ( sK45_SY483 @ SV85 @ SV36 @ SV139 @ SV118 ) ) )
= $false )
| ( ( ord_less_nat @ SV36 @ ( SV85 @ SV139 ) )
= $true )
| ( ( ord_less_real @ SV118 @ SV139 )
= $false )
| ( ( SV36
= ( SV85 @ SV118 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1235]) ).
thf(1300,plain,
! [SV93: real,SV123: poly_real,SV44: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV44 @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) )
| ~ ( ord_less_real @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) @ SV93 ) )
| ( ( poly_real2 @ SV123 @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) )
!= zero_zero_real ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1301,plain,
! [SV94: real,SV124: poly_real,SV45: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV45 @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) )
| ~ ( ord_less_real @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) @ SV94 ) )
| ( ( poly_real2 @ SV124 @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) )
!= zero_zero_real ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1302,plain,
! [SV95: real > real,SV46: real,SV140: real,SV125: real] :
( ( ( ~ ( ord_less_real @ ( sK33_SY385 @ SV125 @ SV140 @ SV46 @ SV95 ) @ ( sK46_SY484 @ SV95 @ SV46 @ SV140 @ SV125 ) ) )
= $false )
| ( ( ord_less_real @ SV46 @ ( SV95 @ SV140 ) )
= $true )
| ( ( ord_less_real @ SV125 @ SV140 )
= $false )
| ( ( SV46
= ( SV95 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1303,plain,
! [SV46: real,SV140: real,SV125: real,SV95: real > real] :
( ( ( ord_less_real @ ( SV95 @ ( sK33_SY385 @ SV125 @ SV140 @ SV46 @ SV95 ) ) @ ( SV95 @ ( sK46_SY484 @ SV95 @ SV46 @ SV140 @ SV125 ) ) )
= $false )
| ( ( ord_less_real @ SV46 @ ( SV95 @ SV140 ) )
= $true )
| ( ( ord_less_real @ SV125 @ SV140 )
= $false )
| ( ( SV46
= ( SV95 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1304,plain,
! [SV96: real > real,SV47: real,SV141: real,SV126: real] :
( ( ( ~ ( ord_less_real @ ( sK34_SY389 @ SV126 @ SV141 @ SV47 @ SV96 ) @ ( sK47_SY485 @ SV96 @ SV47 @ SV141 @ SV126 ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV141 ) )
= $true )
| ( ( ord_less_real @ SV126 @ SV141 )
= $false )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV126 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1239]) ).
thf(1305,plain,
! [SV47: real,SV141: real,SV126: real,SV96: real > real] :
( ( ( ord_less_real @ ( SV96 @ ( sK34_SY389 @ SV126 @ SV141 @ SV47 @ SV96 ) ) @ ( SV96 @ ( sK47_SY485 @ SV96 @ SV47 @ SV141 @ SV126 ) ) )
= $false )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV141 ) )
= $true )
| ( ( ord_less_real @ SV126 @ SV141 )
= $false )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV126 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1239]) ).
thf(1306,plain,
( ( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
= $false )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1307,plain,
( ( ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1308,plain,
( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ~ ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1309,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1243]) ).
thf(1310,plain,
! [SV51: real,SV100: real,SV128: poly_real] :
( ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1244]) ).
thf(1311,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1312,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1246]) ).
thf(1313,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1247]) ).
thf(1314,plain,
! [SV51: real,SV100: real,SV128: poly_real] :
( ( ( ~ ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1247]) ).
thf(1315,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1248]) ).
thf(1316,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1249]) ).
thf(1317,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1250]) ).
thf(1318,plain,
! [SV51: real,SV100: real,SV128: poly_real] :
( ( ( ~ ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 ) )
= $false )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1250]) ).
thf(1319,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1320,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1252]) ).
thf(1321,plain,
! [SV55: real,SV102: real] :
( ( ( ~ ( ord_less_real @ SV102 @ SV55 ) )
= $true )
| ( ( ord_less_real @ SV102 @ SV55 )
= $true )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1253]) ).
thf(1322,plain,
! [SV55: real,SV102: real] :
( ( ( SV102 = SV55 )
= $true )
| ( ( ord_less_real @ SV102 @ SV55 )
= $true )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1254]) ).
thf(1323,plain,
! [SV55: real,SV102: real] :
( ( ( ord_less_real @ SV102 @ SV55 )
= $false )
| ( ( SV102 = SV55 )
= $false )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1324,plain,
! [SV106: nat > real,SV13: nat,SV130: real,SV65: nat] :
( ( ( ord_less_nat @ ( sK20_SY397 @ SV65 @ SV130 @ SV13 @ SV106 ) @ ( sK35_SY474 @ SV106 @ SV13 @ SV130 @ SV65 ) )
= $true )
| ( ( ord_less_real @ ( SV106 @ SV13 ) @ SV130 )
= $true )
| ( ( ord_less_real @ ( SV106 @ SV65 ) @ SV130 )
= $false )
| ( ( ord_less_nat @ SV13 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1260]) ).
thf(1325,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ! [SY206: real,SY207: real] :
( ~ ( SV14 @ SY207 @ SY206 )
| ( SV14 @ SY206 @ SY207 ) ) )
= $false )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1326,plain,
! [SV66: real,SV107: real,SV14: real > real > $o] :
( ( ( ! [SY486: real] :
( ~ ( SV14 @ SY486 @ ( sK48_SY206 @ SV107 @ SV66 @ SV14 ) )
| ( SV14 @ ( sK48_SY206 @ SV107 @ SV66 @ SV14 ) @ SY486 ) ) )
= $false )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( SV14 @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1263]) ).
thf(1327,plain,
! [SV108: real > nat,SV16: real,SV131: nat,SV68: real] :
( ( ( ord_less_real @ ( sK22_SY405 @ SV68 @ SV131 @ SV16 @ SV108 ) @ ( sK37_SY475 @ SV108 @ SV16 @ SV131 @ SV68 ) )
= $true )
| ( ( ord_less_nat @ ( SV108 @ SV16 ) @ SV131 )
= $true )
| ( ( ord_less_nat @ ( SV108 @ SV68 ) @ SV131 )
= $false )
| ( ( ord_less_real @ SV16 @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1328,plain,
! [SV69: nat > real,SV17: real,SV132: nat,SV109: nat] :
( ( ( ord_less_nat @ ( sK23_SY337 @ SV109 @ SV132 @ SV17 @ SV69 ) @ ( sK38_SY476 @ SV69 @ SV17 @ SV132 @ SV109 ) )
= $true )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV132 ) )
= $true )
| ( ( ord_less_nat @ SV109 @ SV132 )
= $false )
| ( ( ord_less_real @ SV17 @ ( SV69 @ SV109 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1329,plain,
! [SV70: real > nat,SV18: nat,SV133: real,SV110: real] :
( ( ( ord_less_real @ ( sK24_SY341 @ SV110 @ SV133 @ SV18 @ SV70 ) @ ( sK39_SY477 @ SV70 @ SV18 @ SV133 @ SV110 ) )
= $true )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV133 ) )
= $true )
| ( ( ord_less_real @ SV110 @ SV133 )
= $false )
| ( ( ord_less_nat @ SV18 @ ( SV70 @ SV110 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1268]) ).
thf(1330,plain,
! [SV111: real > real,SV19: real,SV134: real,SV71: real] :
( ( ( ord_less_real @ ( sK25_SY414 @ SV71 @ SV134 @ SV19 @ SV111 ) @ ( sK40_SY478 @ SV111 @ SV19 @ SV134 @ SV71 ) )
= $true )
| ( ( ord_less_real @ ( SV111 @ SV19 ) @ SV134 )
= $true )
| ( ( ord_less_real @ ( SV111 @ SV71 ) @ SV134 )
= $false )
| ( ( ord_less_real @ SV19 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1270]) ).
thf(1331,plain,
! [SV112: real > real,SV22: real,SV135: real,SV73: real] :
( ( ( ord_less_real @ ( sK26_SY417 @ SV73 @ SV135 @ SV22 @ SV112 ) @ ( sK41_SY479 @ SV112 @ SV22 @ SV135 @ SV73 ) )
= $true )
| ( ( ord_less_real @ ( SV112 @ SV22 ) @ SV135 )
= $true )
| ( ( ( SV112 @ SV73 )
= SV135 )
= $false )
| ( ( ord_less_real @ SV22 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1272]) ).
thf(1332,plain,
! [SV26: real,SV76: real] :
( ( ( ~ ( ord_less_real @ zero_zero_real @ ( sK13_SY351 @ SV76 @ SV26 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1333,plain,
! [SV26: real,SV76: real] :
( ( ( ~ ( ord_less_real @ ( sK13_SY351 @ SV76 @ SV26 ) @ SV26 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1334,plain,
! [SV114: real > nat,SV31: real,SV136: nat,SV80: real] :
( ( ( ord_less_real @ ( sK27_SY422 @ SV80 @ SV136 @ SV31 @ SV114 ) @ ( sK42_SY480 @ SV114 @ SV31 @ SV136 @ SV80 ) )
= $true )
| ( ( ord_less_nat @ ( SV114 @ SV31 ) @ SV136 )
= $true )
| ( ( ( SV114 @ SV80 )
= SV136 )
= $false )
| ( ( ord_less_real @ SV31 @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1275]) ).
thf(1335,plain,
! [SV115: nat > real,SV32: nat,SV137: real,SV81: nat] :
( ( ( ord_less_nat @ ( sK28_SY425 @ SV81 @ SV137 @ SV32 @ SV115 ) @ ( sK43_SY481 @ SV115 @ SV32 @ SV137 @ SV81 ) )
= $true )
| ( ( ord_less_real @ ( SV115 @ SV32 ) @ SV137 )
= $true )
| ( ( ( SV115 @ SV81 )
= SV137 )
= $false )
| ( ( ord_less_nat @ SV32 @ SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1277]) ).
thf(1336,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1337,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1280]) ).
thf(1338,plain,
! [SV116: poly_real,SV82: real,SV156: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV156 )
| ~ ( ord_less_eq_real @ SV156 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SV156 )
!= zero_zero_real ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1281]) ).
thf(1339,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1282]) ).
thf(1340,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1283]) ).
thf(1341,plain,
! [SV33: real,SV82: real,SV116: poly_real] :
( ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1284]) ).
thf(1342,plain,
! [SV116: poly_real,SV82: real,SV157: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV157 )
| ~ ( ord_less_eq_real @ SV157 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SV157 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1285]) ).
thf(1343,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1286]) ).
thf(1344,plain,
! [SV82: real,SV116: poly_real,SV33: real] :
( ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1287]) ).
thf(1345,plain,
! [SV33: real,SV82: real,SV116: poly_real] :
( ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true )
| ( ( ~ ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1288]) ).
thf(1346,plain,
! [SV116: poly_real,SV82: real,SV158: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV158 )
| ~ ( ord_less_eq_real @ SV158 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SV158 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1289]) ).
thf(1347,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1290]) ).
thf(1348,plain,
! [SV150: real,SV83: poly_real] :
( ( ( ( poly_real2 @ SV83 @ SV150 )
= zero_zero_real )
= $false )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV150 )
!= zero_zero_real )
= $true )
| ( ( rsquarefree_real @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1291]) ).
thf(1349,plain,
! [SV83: poly_real] :
( ( ( rsquarefree_real @ SV83 )
= $true )
| ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1292]) ).
thf(1350,plain,
! [SV83: poly_real] :
( ( ( ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1351,plain,
! [SV83: poly_real] :
( ( ( rsquarefree_real @ SV83 )
= $true )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1352,plain,
! [SV83: poly_real] :
( ( ( ! [SY365: real] :
~ ~ ( ( ( poly_real2 @ SV83 @ SY365 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SY365 )
!= zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1353,plain,
! [SV84: nat > real,SV35: real,SV138: nat,SV117: nat] :
( ( ( ord_less_nat @ ( sK29_SY368 @ SV117 @ SV138 @ SV35 @ SV84 ) @ ( sK44_SY482 @ SV84 @ SV35 @ SV138 @ SV117 ) )
= $true )
| ( ( ord_less_real @ SV35 @ ( SV84 @ SV138 ) )
= $true )
| ( ( ord_less_nat @ SV117 @ SV138 )
= $false )
| ( ( SV35
= ( SV84 @ SV117 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1296]) ).
thf(1354,plain,
! [SV85: real > nat,SV36: nat,SV139: real,SV118: real] :
( ( ( ord_less_real @ ( sK30_SY372 @ SV118 @ SV139 @ SV36 @ SV85 ) @ ( sK45_SY483 @ SV85 @ SV36 @ SV139 @ SV118 ) )
= $true )
| ( ( ord_less_nat @ SV36 @ ( SV85 @ SV139 ) )
= $true )
| ( ( ord_less_real @ SV118 @ SV139 )
= $false )
| ( ( SV36
= ( SV85 @ SV118 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1298]) ).
thf(1355,plain,
! [SV93: real,SV123: poly_real,SV44: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV44 @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) )
| ~ ( ord_less_real @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) @ SV93 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1300]) ).
thf(1356,plain,
! [SV44: real,SV93: real,SV123: poly_real] :
( ( ( ( poly_real2 @ SV123 @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) )
!= zero_zero_real )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1300]) ).
thf(1357,plain,
! [SV94: real,SV124: poly_real,SV45: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV45 @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) )
| ~ ( ord_less_real @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) @ SV94 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1301]) ).
thf(1358,plain,
! [SV45: real,SV94: real,SV124: poly_real] :
( ( ( ( poly_real2 @ SV124 @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) )
!= zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1301]) ).
thf(1359,plain,
! [SV95: real > real,SV46: real,SV140: real,SV125: real] :
( ( ( ord_less_real @ ( sK33_SY385 @ SV125 @ SV140 @ SV46 @ SV95 ) @ ( sK46_SY484 @ SV95 @ SV46 @ SV140 @ SV125 ) )
= $true )
| ( ( ord_less_real @ SV46 @ ( SV95 @ SV140 ) )
= $true )
| ( ( ord_less_real @ SV125 @ SV140 )
= $false )
| ( ( SV46
= ( SV95 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1302]) ).
thf(1360,plain,
! [SV96: real > real,SV47: real,SV141: real,SV126: real] :
( ( ( ord_less_real @ ( sK34_SY389 @ SV126 @ SV141 @ SV47 @ SV96 ) @ ( sK47_SY485 @ SV96 @ SV47 @ SV141 @ SV126 ) )
= $true )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV141 ) )
= $true )
| ( ( ord_less_real @ SV126 @ SV141 )
= $false )
| ( ( ord_less_real @ SV47 @ ( SV96 @ SV126 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1304]) ).
thf(1361,plain,
( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $false )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1362,plain,
( ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1363,plain,
( ( ( ~ ( sturm_469514713_r_pos @ p @ x ) )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1307]) ).
thf(1364,plain,
( ( ( ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1307]) ).
thf(1365,plain,
( ( ( ~ ( sturm_469514713_r_pos @ p @ x )
| ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1308]) ).
thf(1366,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1309]) ).
thf(1367,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1368,plain,
! [SV128: poly_real,SV100: real,SV159: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV159 )
| ~ ( ord_less_real @ SV159 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SV159 )
!= zero_zero_real ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1311]) ).
thf(1369,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1312]) ).
thf(1370,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1313]) ).
thf(1371,plain,
! [SV51: real,SV100: real,SV128: poly_real] :
( ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1314]) ).
thf(1372,plain,
! [SV128: poly_real,SV100: real,SV160: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV160 )
| ~ ( ord_less_real @ SV160 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SV160 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1315]) ).
thf(1373,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1316]) ).
thf(1374,plain,
! [SV100: real,SV128: poly_real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1317]) ).
thf(1375,plain,
! [SV51: real,SV100: real,SV128: poly_real] :
( ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true )
| ( ( ~ ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1318]) ).
thf(1376,plain,
! [SV128: poly_real,SV100: real,SV161: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV161 )
| ~ ( ord_less_real @ SV161 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SV161 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1319]) ).
thf(1377,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1320]) ).
thf(1378,plain,
! [SV55: real,SV102: real] :
( ( ( ord_less_real @ SV102 @ SV55 )
= $false )
| ( ( ord_less_real @ SV102 @ SV55 )
= $true )
| ( ( ord_less_real @ SV55 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1321]) ).
thf(1379,plain,
! [SV66: real,SV107: real,SV14: real > real > $o] :
( ( ( ! [SY487: real] :
( ~ ( SV14 @ SY487 @ ( sK49_SY206 @ SV107 @ SV66 @ SV14 ) )
| ( SV14 @ ( sK49_SY206 @ SV107 @ SV66 @ SV14 ) @ SY487 ) ) )
= $false )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1325]) ).
thf(1380,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ~ ( SV14 @ ( sK50_SY486 @ SV66 @ SV107 @ SV14 ) @ ( sK48_SY206 @ SV107 @ SV66 @ SV14 ) )
| ( SV14 @ ( sK48_SY206 @ SV107 @ SV66 @ SV14 ) @ ( sK50_SY486 @ SV66 @ SV107 @ SV14 ) ) )
= $false )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( SV14 @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1326]) ).
thf(1381,plain,
! [SV26: real,SV76: real] :
( ( ( ord_less_real @ zero_zero_real @ ( sK13_SY351 @ SV76 @ SV26 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1332]) ).
thf(1382,plain,
! [SV26: real,SV76: real] :
( ( ( ord_less_real @ ( sK13_SY351 @ SV76 @ SV26 ) @ SV26 )
= $true )
| ( ( ord_less_real @ zero_zero_real @ SV76 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1333]) ).
thf(1383,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1384,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1385,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1386,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1387,plain,
! [SV116: poly_real,SV82: real,SV156: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV156 )
| ~ ( ord_less_eq_real @ SV156 @ SV82 ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV156 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1338]) ).
thf(1388,plain,
! [SV116: poly_real,SV82: real,SV162: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV162 )
| ~ ( ord_less_eq_real @ SV162 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1339]) ).
thf(1389,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1340]) ).
thf(1390,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1341]) ).
thf(1391,plain,
! [SV116: poly_real,SV82: real,SV157: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV157 )
| ~ ( ord_less_eq_real @ SV157 @ SV82 ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV157 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1392,plain,
! [SV116: poly_real,SV82: real,SV163: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV163 )
| ~ ( ord_less_eq_real @ SV163 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1393,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1394,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) )
| ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1395,plain,
! [SV116: poly_real,SV82: real,SV158: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV158 )
| ~ ( ord_less_eq_real @ SV158 @ SV82 ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV158 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1346]) ).
thf(1396,plain,
! [SV116: poly_real,SV82: real,SV164: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV164 )
| ~ ( ord_less_eq_real @ SV164 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1397,plain,
! [SV150: real,SV83: poly_real] :
( ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV150 )
= zero_zero_real )
= $false )
| ( ( ( poly_real2 @ SV83 @ SV150 )
= zero_zero_real )
= $false )
| ( ( rsquarefree_real @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1348]) ).
thf(1398,plain,
! [SV165: real,SV83: poly_real] :
( ( ( ~ ~ ( ( ( poly_real2 @ SV83 @ SV165 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV165 )
!= zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1350]) ).
thf(1399,plain,
! [SV166: real,SV83: poly_real] :
( ( ( ~ ~ ( ( ( poly_real2 @ SV83 @ SV166 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV166 )
!= zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1352]) ).
thf(1400,plain,
! [SV93: real,SV123: poly_real,SV44: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV44 @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) )
| ~ ( ord_less_real @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) @ SV93 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1355]) ).
thf(1401,plain,
! [SV44: real,SV93: real,SV123: poly_real] :
( ( ( ( poly_real2 @ SV123 @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) )
= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1402,plain,
! [SV94: real,SV124: poly_real,SV45: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV45 @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) )
| ~ ( ord_less_real @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) @ SV94 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1403,plain,
! [SV45: real,SV94: real,SV124: poly_real] :
( ( ( ( poly_real2 @ SV124 @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) )
= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1358]) ).
thf(1404,plain,
( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1405,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1362]) ).
thf(1406,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1363]) ).
thf(1407,plain,
( ( ( ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1364]) ).
thf(1408,plain,
( ( ( ~ ( sturm_469514713_r_pos @ p @ x ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1409,plain,
( ( ( ~ ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1410,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1411,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1412,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1367]) ).
thf(1413,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1367]) ).
thf(1414,plain,
! [SV128: poly_real,SV100: real,SV159: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV159 )
| ~ ( ord_less_real @ SV159 @ SV100 ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV159 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1368]) ).
thf(1415,plain,
! [SV128: poly_real,SV100: real,SV167: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV167 )
| ~ ( ord_less_real @ SV167 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1416,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1370]) ).
thf(1417,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1371]) ).
thf(1418,plain,
! [SV128: poly_real,SV100: real,SV160: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV160 )
| ~ ( ord_less_real @ SV160 @ SV100 ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV160 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1372]) ).
thf(1419,plain,
! [SV128: poly_real,SV100: real,SV168: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV168 )
| ~ ( ord_less_real @ SV168 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1373]) ).
thf(1420,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1421,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) )
| ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1422,plain,
! [SV128: poly_real,SV100: real,SV161: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV161 )
| ~ ( ord_less_real @ SV161 @ SV100 ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV161 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1376]) ).
thf(1423,plain,
! [SV128: poly_real,SV100: real,SV169: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV169 )
| ~ ( ord_less_real @ SV169 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1377]) ).
thf(1424,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ~ ( SV14 @ ( sK51_SY487 @ SV66 @ SV107 @ SV14 ) @ ( sK49_SY206 @ SV107 @ SV66 @ SV14 ) )
| ( SV14 @ ( sK49_SY206 @ SV107 @ SV66 @ SV14 ) @ ( sK51_SY487 @ SV66 @ SV107 @ SV14 ) ) )
= $false )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1379]) ).
thf(1425,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ~ ( SV14 @ ( sK50_SY486 @ SV66 @ SV107 @ SV14 ) @ ( sK48_SY206 @ SV107 @ SV66 @ SV14 ) ) )
= $false )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( SV14 @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1380]) ).
thf(1426,plain,
! [SV66: real,SV107: real,SV14: real > real > $o] :
( ( ( SV14 @ ( sK48_SY206 @ SV107 @ SV66 @ SV14 ) @ ( sK50_SY486 @ SV66 @ SV107 @ SV14 ) )
= $false )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( SV14 @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1380]) ).
thf(1427,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1383]) ).
thf(1428,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1384]) ).
thf(1429,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1385]) ).
thf(1430,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1386]) ).
thf(1431,plain,
! [SV116: poly_real,SV82: real,SV156: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV156 )
| ~ ( ord_less_eq_real @ SV156 @ SV82 ) ) )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV156 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1387]) ).
thf(1432,plain,
! [SV116: poly_real,SV82: real,SV162: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV162 )
| ~ ( ord_less_eq_real @ SV162 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1388]) ).
thf(1433,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1389]) ).
thf(1434,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1389]) ).
thf(1435,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1390]) ).
thf(1436,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1390]) ).
thf(1437,plain,
! [SV116: poly_real,SV82: real,SV157: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV157 )
| ~ ( ord_less_eq_real @ SV157 @ SV82 ) ) )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV157 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1438,plain,
! [SV116: poly_real,SV82: real,SV163: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV163 )
| ~ ( ord_less_eq_real @ SV163 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1392]) ).
thf(1439,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1393]) ).
thf(1440,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1393]) ).
thf(1441,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1442,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ~ ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1443,plain,
! [SV116: poly_real,SV82: real,SV158: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV158 )
| ~ ( ord_less_eq_real @ SV158 @ SV82 ) ) )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV158 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1444,plain,
! [SV116: poly_real,SV82: real,SV164: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV164 )
| ~ ( ord_less_eq_real @ SV164 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1396]) ).
thf(1445,plain,
! [SV165: real,SV83: poly_real] :
( ( ( ~ ( ( ( poly_real2 @ SV83 @ SV165 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV165 )
!= zero_zero_real ) ) )
= $false )
| ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1446,plain,
! [SV166: real,SV83: poly_real] :
( ( ( ~ ( ( ( poly_real2 @ SV83 @ SV166 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV166 )
!= zero_zero_real ) ) )
= $false )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1399]) ).
thf(1447,plain,
! [SV93: real,SV123: poly_real,SV44: real] :
( ( ( ~ ( ord_less_real @ SV44 @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) )
| ~ ( ord_less_real @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) @ SV93 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1400]) ).
thf(1448,plain,
! [SV94: real,SV124: poly_real,SV45: real] :
( ( ( ~ ( ord_less_real @ SV45 @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) )
| ~ ( ord_less_real @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) @ SV94 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1449,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
= $false )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1450,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) ) )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1405]) ).
thf(1451,plain,
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1405]) ).
thf(1452,plain,
( ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1453,plain,
( ( ( sturm_469514713_r_pos @ p @ x )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1408]) ).
thf(1454,plain,
( ( ( ~ ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1409]) ).
thf(1455,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1410]) ).
thf(1456,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1411]) ).
thf(1457,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1412]) ).
thf(1458,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1413]) ).
thf(1459,plain,
! [SV128: poly_real,SV100: real,SV159: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV159 )
| ~ ( ord_less_real @ SV159 @ SV100 ) ) )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV159 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1414]) ).
thf(1460,plain,
! [SV128: poly_real,SV100: real,SV167: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV167 )
| ~ ( ord_less_real @ SV167 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1415]) ).
thf(1461,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1416]) ).
thf(1462,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1416]) ).
thf(1463,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1417]) ).
thf(1464,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1417]) ).
thf(1465,plain,
! [SV128: poly_real,SV100: real,SV160: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV160 )
| ~ ( ord_less_real @ SV160 @ SV100 ) ) )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV160 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1466,plain,
! [SV128: poly_real,SV100: real,SV168: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV168 )
| ~ ( ord_less_real @ SV168 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1419]) ).
thf(1467,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1420]) ).
thf(1468,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1420]) ).
thf(1469,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $false )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1421]) ).
thf(1470,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ~ ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) ) )
= $false )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1421]) ).
thf(1471,plain,
! [SV128: poly_real,SV100: real,SV161: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV161 )
| ~ ( ord_less_real @ SV161 @ SV100 ) ) )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV161 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1422]) ).
thf(1472,plain,
! [SV128: poly_real,SV100: real,SV169: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV169 )
| ~ ( ord_less_real @ SV169 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1423]) ).
thf(1473,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( ~ ( SV14 @ ( sK51_SY487 @ SV66 @ SV107 @ SV14 ) @ ( sK49_SY206 @ SV107 @ SV66 @ SV14 ) ) )
= $false )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1474,plain,
! [SV66: real,SV107: real,SV14: real > real > $o] :
( ( ( SV14 @ ( sK49_SY206 @ SV107 @ SV66 @ SV14 ) @ ( sK51_SY487 @ SV66 @ SV107 @ SV14 ) )
= $false )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1475,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( SV14 @ ( sK50_SY486 @ SV66 @ SV107 @ SV14 ) @ ( sK48_SY206 @ SV107 @ SV66 @ SV14 ) )
= $true )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK21_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( SV14 @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1476,plain,
! [SV116: poly_real,SV82: real,SV170: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV170 )
| ~ ( ord_less_eq_real @ SV170 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SV170 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(1477,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1428]) ).
thf(1478,plain,
! [SV116: poly_real,SV82: real,SV171: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV171 )
| ~ ( ord_less_eq_real @ SV171 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SV171 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1429]) ).
thf(1479,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1430]) ).
thf(1480,plain,
! [SV116: poly_real,SV82: real,SV156: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV156 )
| ~ ( ord_less_eq_real @ SV156 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV156 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1431]) ).
thf(1481,plain,
! [SV116: poly_real,SV82: real,SV162: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV162 )
| ~ ( ord_less_eq_real @ SV162 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1482,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1483,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1484,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1435]) ).
thf(1485,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1436]) ).
thf(1486,plain,
! [SV116: poly_real,SV82: real,SV157: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV157 )
| ~ ( ord_less_eq_real @ SV157 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV157 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1437]) ).
thf(1487,plain,
! [SV116: poly_real,SV82: real,SV163: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV163 )
| ~ ( ord_less_eq_real @ SV163 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1488,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1439]) ).
thf(1489,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1440]) ).
thf(1490,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY427: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY427 )
| ~ ( ord_less_eq_real @ SY427 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SY427 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1441]) ).
thf(1491,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) )
| ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1442]) ).
thf(1492,plain,
! [SV116: poly_real,SV82: real,SV158: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV158 )
| ~ ( ord_less_eq_real @ SV158 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV158 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1443]) ).
thf(1493,plain,
! [SV116: poly_real,SV82: real,SV164: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV164 )
| ~ ( ord_less_eq_real @ SV164 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1494,plain,
! [SV165: real,SV83: poly_real] :
( ( ( ( ( poly_real2 @ SV83 @ SV165 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV165 )
!= zero_zero_real ) )
= $true )
| ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1445]) ).
thf(1495,plain,
! [SV166: real,SV83: poly_real] :
( ( ( ( ( poly_real2 @ SV83 @ SV166 )
!= zero_zero_real )
| ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV166 )
!= zero_zero_real ) )
= $true )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1446]) ).
thf(1496,plain,
! [SV93: real,SV123: poly_real,SV44: real] :
( ( ( ~ ( ord_less_real @ SV44 @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1447]) ).
thf(1497,plain,
! [SV44: real,SV93: real,SV123: poly_real] :
( ( ( ~ ( ord_less_real @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) @ SV93 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1447]) ).
thf(1498,plain,
! [SV94: real,SV124: poly_real,SV45: real] :
( ( ( ~ ( ord_less_real @ SV45 @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1448]) ).
thf(1499,plain,
! [SV45: real,SV94: real,SV124: poly_real] :
( ( ( ~ ( ord_less_real @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) @ SV94 ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1448]) ).
thf(1500,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) ) )
= $false )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1449]) ).
thf(1501,plain,
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $false )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1449]) ).
thf(1502,plain,
( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1450]) ).
thf(1503,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1452]) ).
thf(1504,plain,
( ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1505,plain,
! [SV128: poly_real,SV100: real,SV172: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV172 )
| ~ ( ord_less_real @ SV172 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SV172 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1455]) ).
thf(1506,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1456]) ).
thf(1507,plain,
! [SV128: poly_real,SV100: real,SV173: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV173 )
| ~ ( ord_less_real @ SV173 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SV173 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1457]) ).
thf(1508,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1458]) ).
thf(1509,plain,
! [SV128: poly_real,SV100: real,SV159: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV159 )
| ~ ( ord_less_real @ SV159 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV159 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1459]) ).
thf(1510,plain,
! [SV128: poly_real,SV100: real,SV167: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV167 )
| ~ ( ord_less_real @ SV167 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1511,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1512,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1462]) ).
thf(1513,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1463]) ).
thf(1514,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1464]) ).
thf(1515,plain,
! [SV128: poly_real,SV100: real,SV160: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV160 )
| ~ ( ord_less_real @ SV160 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV160 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1465]) ).
thf(1516,plain,
! [SV128: poly_real,SV100: real,SV168: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV168 )
| ~ ( ord_less_real @ SV168 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1466]) ).
thf(1517,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1518,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1519,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY444: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY444 )
| ~ ( ord_less_real @ SY444 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SY444 )
!= zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1469]) ).
thf(1520,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) )
| ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1470]) ).
thf(1521,plain,
! [SV128: poly_real,SV100: real,SV161: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV161 )
| ~ ( ord_less_real @ SV161 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV161 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1471]) ).
thf(1522,plain,
! [SV128: poly_real,SV100: real,SV169: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV169 )
| ~ ( ord_less_real @ SV169 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1472]) ).
thf(1523,plain,
! [SV107: real,SV66: real,SV14: real > real > $o] :
( ( ( SV14 @ ( sK51_SY487 @ SV66 @ SV107 @ SV14 ) @ ( sK49_SY206 @ SV107 @ SV66 @ SV14 ) )
= $true )
| ( ( SV14 @ SV66 @ SV107 )
= $true )
| ( ( SV14 @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) @ ( sK36_SY205 @ SV107 @ SV66 @ SV14 ) )
= $false )
| ( ( ord_less_real @ ( sK8_SY203 @ SV107 @ SV66 @ SV14 ) @ ( sK10_SY473 @ SV14 @ SV66 @ SV107 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1524,plain,
! [SV116: poly_real,SV82: real,SV170: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV170 )
| ~ ( ord_less_eq_real @ SV170 @ SV82 ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV170 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1476]) ).
thf(1525,plain,
! [SV116: poly_real,SV82: real,SV174: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV174 )
| ~ ( ord_less_eq_real @ SV174 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1477]) ).
thf(1526,plain,
! [SV116: poly_real,SV82: real,SV171: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV171 )
| ~ ( ord_less_eq_real @ SV171 @ SV82 ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV171 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1478]) ).
thf(1527,plain,
! [SV116: poly_real,SV82: real,SV175: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV175 )
| ~ ( ord_less_eq_real @ SV175 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(1528,plain,
! [SV116: poly_real,SV82: real,SV156: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV156 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV156 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV156 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1480]) ).
thf(1529,plain,
! [SV116: poly_real,SV82: real,SV162: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV162 )
| ~ ( ord_less_eq_real @ SV162 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1481]) ).
thf(1530,plain,
! [SV116: poly_real,SV82: real,SV176: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV176 )
| ~ ( ord_less_eq_real @ SV176 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SV176 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1531,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1483]) ).
thf(1532,plain,
! [SV116: poly_real,SV82: real,SV177: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV177 )
| ~ ( ord_less_eq_real @ SV177 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SV177 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1484]) ).
thf(1533,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1485]) ).
thf(1534,plain,
! [SV116: poly_real,SV82: real,SV157: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV157 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV157 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV157 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1486]) ).
thf(1535,plain,
! [SV116: poly_real,SV82: real,SV163: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV163 )
| ~ ( ord_less_eq_real @ SV163 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1487]) ).
thf(1536,plain,
! [SV116: poly_real,SV82: real,SV178: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV178 )
| ~ ( ord_less_eq_real @ SV178 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SV178 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1488]) ).
thf(1537,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1489]) ).
thf(1538,plain,
! [SV116: poly_real,SV82: real,SV179: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV179 )
| ~ ( ord_less_eq_real @ SV179 @ SV82 ) )
| ( ( poly_real2 @ SV116 @ SV179 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1490]) ).
thf(1539,plain,
! [SV116: poly_real,SV82: real,SV33: real] :
( ( ( ! [SY428: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY428 )
| ~ ( ord_less_eq_real @ SY428 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SY428 ) ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1491]) ).
thf(1540,plain,
! [SV116: poly_real,SV82: real,SV158: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV158 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV158 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV158 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1492]) ).
thf(1541,plain,
! [SV116: poly_real,SV82: real,SV164: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV164 )
| ~ ( ord_less_eq_real @ SV164 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1493]) ).
thf(1542,plain,
! [SV165: real,SV83: poly_real] :
( ( ( ( poly_real2 @ SV83 @ SV165 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV165 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1494]) ).
thf(1543,plain,
! [SV166: real,SV83: poly_real] :
( ( ( ( poly_real2 @ SV83 @ SV166 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV166 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1495]) ).
thf(1544,plain,
! [SV93: real,SV123: poly_real,SV44: real] :
( ( ( ord_less_real @ SV44 @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1496]) ).
thf(1545,plain,
! [SV44: real,SV93: real,SV123: poly_real] :
( ( ( ord_less_real @ ( sK31_SY436 @ SV123 @ SV93 @ SV44 ) @ SV93 )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV123 @ SV93 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV123 @ SV44 ) )
= $false )
| ( ( ord_less_real @ SV44 @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1497]) ).
thf(1546,plain,
! [SV94: real,SV124: poly_real,SV45: real] :
( ( ( ord_less_real @ SV45 @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1498]) ).
thf(1547,plain,
! [SV45: real,SV94: real,SV124: poly_real] :
( ( ( ord_less_real @ ( sK32_SY437 @ SV124 @ SV94 @ SV45 ) @ SV94 )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV124 @ SV94 ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV124 @ SV45 ) @ zero_zero_real )
= $false )
| ( ( ord_less_real @ SV45 @ SV94 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1499]) ).
thf(1548,plain,
( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1500]) ).
thf(1549,plain,
( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1502]) ).
thf(1550,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1503]) ).
thf(1551,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
| ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1504]) ).
thf(1552,plain,
! [SV128: poly_real,SV100: real,SV172: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV172 )
| ~ ( ord_less_real @ SV172 @ SV100 ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV172 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1553,plain,
! [SV128: poly_real,SV100: real,SV180: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV180 )
| ~ ( ord_less_real @ SV180 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(1554,plain,
! [SV128: poly_real,SV100: real,SV173: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV173 )
| ~ ( ord_less_real @ SV173 @ SV100 ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV173 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1507]) ).
thf(1555,plain,
! [SV128: poly_real,SV100: real,SV181: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV181 )
| ~ ( ord_less_real @ SV181 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1508]) ).
thf(1556,plain,
! [SV128: poly_real,SV100: real,SV159: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV159 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV159 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV159 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1509]) ).
thf(1557,plain,
! [SV128: poly_real,SV100: real,SV167: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV167 )
| ~ ( ord_less_real @ SV167 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1510]) ).
thf(1558,plain,
! [SV128: poly_real,SV100: real,SV182: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV182 )
| ~ ( ord_less_real @ SV182 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SV182 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1511]) ).
thf(1559,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1512]) ).
thf(1560,plain,
! [SV128: poly_real,SV100: real,SV183: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV183 )
| ~ ( ord_less_real @ SV183 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SV183 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1513]) ).
thf(1561,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1514]) ).
thf(1562,plain,
! [SV128: poly_real,SV100: real,SV160: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV160 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV160 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV160 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1515]) ).
thf(1563,plain,
! [SV128: poly_real,SV100: real,SV168: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV168 )
| ~ ( ord_less_real @ SV168 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1516]) ).
thf(1564,plain,
! [SV128: poly_real,SV100: real,SV184: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV184 )
| ~ ( ord_less_real @ SV184 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SV184 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1517]) ).
thf(1565,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1518]) ).
thf(1566,plain,
! [SV128: poly_real,SV100: real,SV185: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV185 )
| ~ ( ord_less_real @ SV185 @ SV100 ) )
| ( ( poly_real2 @ SV128 @ SV185 )
!= zero_zero_real ) )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1519]) ).
thf(1567,plain,
! [SV128: poly_real,SV100: real,SV51: real] :
( ( ( ! [SY445: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY445 )
| ~ ( ord_less_real @ SY445 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SY445 ) ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1520]) ).
thf(1568,plain,
! [SV128: poly_real,SV100: real,SV161: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV161 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV161 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV161 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1521]) ).
thf(1569,plain,
! [SV128: poly_real,SV100: real,SV169: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV169 )
| ~ ( ord_less_real @ SV169 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1522]) ).
thf(1570,plain,
! [SV116: poly_real,SV82: real,SV170: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV170 )
| ~ ( ord_less_eq_real @ SV170 @ SV82 ) ) )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV170 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1571,plain,
! [SV116: poly_real,SV82: real,SV174: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV174 )
| ~ ( ord_less_eq_real @ SV174 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1525]) ).
thf(1572,plain,
! [SV116: poly_real,SV82: real,SV171: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV171 )
| ~ ( ord_less_eq_real @ SV171 @ SV82 ) ) )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV171 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1526]) ).
thf(1573,plain,
! [SV116: poly_real,SV82: real,SV175: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV175 )
| ~ ( ord_less_eq_real @ SV175 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1527]) ).
thf(1574,plain,
! [SV116: poly_real,SV82: real,SV156: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV156 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV156 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV156 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1575,plain,
! [SV116: poly_real,SV82: real,SV162: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV162 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV162 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1529]) ).
thf(1576,plain,
! [SV116: poly_real,SV82: real,SV176: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV176 )
| ~ ( ord_less_eq_real @ SV176 @ SV82 ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV176 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1530]) ).
thf(1577,plain,
! [SV116: poly_real,SV82: real,SV186: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV186 )
| ~ ( ord_less_eq_real @ SV186 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1531]) ).
thf(1578,plain,
! [SV116: poly_real,SV82: real,SV177: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV177 )
| ~ ( ord_less_eq_real @ SV177 @ SV82 ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV177 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1532]) ).
thf(1579,plain,
! [SV116: poly_real,SV82: real,SV187: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV187 )
| ~ ( ord_less_eq_real @ SV187 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1533]) ).
thf(1580,plain,
! [SV116: poly_real,SV82: real,SV157: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV157 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV157 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV157 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1581,plain,
! [SV116: poly_real,SV82: real,SV163: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV163 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV163 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1535]) ).
thf(1582,plain,
! [SV116: poly_real,SV82: real,SV178: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV178 )
| ~ ( ord_less_eq_real @ SV178 @ SV82 ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV178 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1536]) ).
thf(1583,plain,
! [SV116: poly_real,SV82: real,SV188: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV188 )
| ~ ( ord_less_eq_real @ SV188 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1537]) ).
thf(1584,plain,
! [SV116: poly_real,SV82: real,SV179: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV179 )
| ~ ( ord_less_eq_real @ SV179 @ SV82 ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV179 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1538]) ).
thf(1585,plain,
! [SV116: poly_real,SV82: real,SV189: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV189 )
| ~ ( ord_less_eq_real @ SV189 @ SV82 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1539]) ).
thf(1586,plain,
! [SV116: poly_real,SV82: real,SV158: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV158 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV158 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV158 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1587,plain,
! [SV116: poly_real,SV82: real,SV164: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV164 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV164 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1541]) ).
thf(1588,plain,
! [SV165: real,SV83: poly_real] :
( ( ( ( poly_real2 @ SV83 @ SV165 )
= zero_zero_real )
= $false )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV165 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1589,plain,
! [SV166: real,SV83: poly_real] :
( ( ( ( poly_real2 @ SV83 @ SV166 )
= zero_zero_real )
= $false )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV166 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1590,plain,
( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ p @ x )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1591,plain,
( ( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
= $false )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1592,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1551]) ).
thf(1593,plain,
! [SV128: poly_real,SV100: real,SV172: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV172 )
| ~ ( ord_less_real @ SV172 @ SV100 ) ) )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV172 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1552]) ).
thf(1594,plain,
! [SV128: poly_real,SV100: real,SV180: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV180 )
| ~ ( ord_less_real @ SV180 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1553]) ).
thf(1595,plain,
! [SV128: poly_real,SV100: real,SV173: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV173 )
| ~ ( ord_less_real @ SV173 @ SV100 ) ) )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV173 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1554]) ).
thf(1596,plain,
! [SV128: poly_real,SV100: real,SV181: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV181 )
| ~ ( ord_less_real @ SV181 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1555]) ).
thf(1597,plain,
! [SV128: poly_real,SV100: real,SV159: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV159 )
= $false )
| ( ( ~ ( ord_less_real @ SV159 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV159 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1598,plain,
! [SV128: poly_real,SV100: real,SV167: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV167 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV167 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1557]) ).
thf(1599,plain,
! [SV128: poly_real,SV100: real,SV182: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV182 )
| ~ ( ord_less_real @ SV182 @ SV100 ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV182 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1558]) ).
thf(1600,plain,
! [SV128: poly_real,SV100: real,SV190: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV190 )
| ~ ( ord_less_real @ SV190 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1559]) ).
thf(1601,plain,
! [SV128: poly_real,SV100: real,SV183: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV183 )
| ~ ( ord_less_real @ SV183 @ SV100 ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV183 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1560]) ).
thf(1602,plain,
! [SV128: poly_real,SV100: real,SV191: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV191 )
| ~ ( ord_less_real @ SV191 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1561]) ).
thf(1603,plain,
! [SV128: poly_real,SV100: real,SV160: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV160 )
= $false )
| ( ( ~ ( ord_less_real @ SV160 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV160 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1604,plain,
! [SV128: poly_real,SV100: real,SV168: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV168 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV168 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1563]) ).
thf(1605,plain,
! [SV128: poly_real,SV100: real,SV184: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV184 )
| ~ ( ord_less_real @ SV184 @ SV100 ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV184 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1564]) ).
thf(1606,plain,
! [SV128: poly_real,SV100: real,SV192: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV192 )
| ~ ( ord_less_real @ SV192 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1565]) ).
thf(1607,plain,
! [SV128: poly_real,SV100: real,SV185: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV185 )
| ~ ( ord_less_real @ SV185 @ SV100 ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV185 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1566]) ).
thf(1608,plain,
! [SV128: poly_real,SV100: real,SV193: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV193 )
| ~ ( ord_less_real @ SV193 @ SV100 ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1567]) ).
thf(1609,plain,
! [SV128: poly_real,SV100: real,SV161: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV161 )
= $false )
| ( ( ~ ( ord_less_real @ SV161 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV161 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1610,plain,
! [SV128: poly_real,SV100: real,SV169: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV169 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV169 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1569]) ).
thf(1611,plain,
! [SV116: poly_real,SV82: real,SV170: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV170 )
| ~ ( ord_less_eq_real @ SV170 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV170 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1570]) ).
thf(1612,plain,
! [SV116: poly_real,SV82: real,SV174: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV174 )
| ~ ( ord_less_eq_real @ SV174 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1571]) ).
thf(1613,plain,
! [SV116: poly_real,SV82: real,SV171: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV171 )
| ~ ( ord_less_eq_real @ SV171 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV171 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1572]) ).
thf(1614,plain,
! [SV116: poly_real,SV82: real,SV175: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV175 )
| ~ ( ord_less_eq_real @ SV175 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1615,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV156: real] :
( ( ( ord_less_eq_real @ SV156 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV156 )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV156 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1574]) ).
thf(1616,plain,
! [SV116: poly_real,SV82: real,SV162: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV162 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV162 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1575]) ).
thf(1617,plain,
! [SV116: poly_real,SV82: real,SV176: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV176 )
| ~ ( ord_less_eq_real @ SV176 @ SV82 ) ) )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV176 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1618,plain,
! [SV116: poly_real,SV82: real,SV186: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV186 )
| ~ ( ord_less_eq_real @ SV186 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1577]) ).
thf(1619,plain,
! [SV116: poly_real,SV82: real,SV177: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV177 )
| ~ ( ord_less_eq_real @ SV177 @ SV82 ) ) )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV177 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1578]) ).
thf(1620,plain,
! [SV116: poly_real,SV82: real,SV187: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV187 )
| ~ ( ord_less_eq_real @ SV187 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1579]) ).
thf(1621,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV157: real] :
( ( ( ord_less_eq_real @ SV157 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV157 )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV157 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1580]) ).
thf(1622,plain,
! [SV116: poly_real,SV82: real,SV163: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV163 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV163 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1581]) ).
thf(1623,plain,
! [SV116: poly_real,SV82: real,SV178: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV178 )
| ~ ( ord_less_eq_real @ SV178 @ SV82 ) ) )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV178 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1582]) ).
thf(1624,plain,
! [SV116: poly_real,SV82: real,SV188: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV188 )
| ~ ( ord_less_eq_real @ SV188 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1583]) ).
thf(1625,plain,
! [SV116: poly_real,SV82: real,SV179: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV179 )
| ~ ( ord_less_eq_real @ SV179 @ SV82 ) ) )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV179 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1584]) ).
thf(1626,plain,
! [SV116: poly_real,SV82: real,SV189: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV189 )
| ~ ( ord_less_eq_real @ SV189 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1585]) ).
thf(1627,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV158: real] :
( ( ( ord_less_eq_real @ SV158 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV158 )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV158 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1586]) ).
thf(1628,plain,
! [SV116: poly_real,SV82: real,SV164: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV164 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV164 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1587]) ).
thf(1629,plain,
! [SV165: real,SV83: poly_real] :
( ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV165 )
= zero_zero_real )
= $false )
| ( ( ( poly_real2 @ SV83 @ SV165 )
= zero_zero_real )
= $false )
| ( ( ( poly_real2 @ SV83 @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1588]) ).
thf(1630,plain,
! [SV166: real,SV83: poly_real] :
( ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ SV166 )
= zero_zero_real )
= $false )
| ( ( ( poly_real2 @ SV83 @ SV166 )
= zero_zero_real )
= $false )
| ( ( ( poly_real2 @ ( pderiv_real @ SV83 ) @ ( sK11_SY365 @ SV83 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1589]) ).
thf(1631,plain,
( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $false )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1591]) ).
thf(1632,plain,
( ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1591]) ).
thf(1633,plain,
( ( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
| ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x ) )
= $false )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1592]) ).
thf(1634,plain,
! [SV128: poly_real,SV100: real,SV172: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV172 )
| ~ ( ord_less_real @ SV172 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV172 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1593]) ).
thf(1635,plain,
! [SV128: poly_real,SV100: real,SV180: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV180 )
| ~ ( ord_less_real @ SV180 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1636,plain,
! [SV128: poly_real,SV100: real,SV173: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV173 )
| ~ ( ord_less_real @ SV173 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV173 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1595]) ).
thf(1637,plain,
! [SV128: poly_real,SV100: real,SV181: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV181 )
| ~ ( ord_less_real @ SV181 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1638,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV159: real] :
( ( ( ord_less_real @ SV159 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV159 )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV159 )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1597]) ).
thf(1639,plain,
! [SV128: poly_real,SV100: real,SV167: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV167 )
= $false )
| ( ( ~ ( ord_less_real @ SV167 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1640,plain,
! [SV128: poly_real,SV100: real,SV182: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV182 )
| ~ ( ord_less_real @ SV182 @ SV100 ) ) )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV182 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1599]) ).
thf(1641,plain,
! [SV128: poly_real,SV100: real,SV190: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV190 )
| ~ ( ord_less_real @ SV190 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1600]) ).
thf(1642,plain,
! [SV128: poly_real,SV100: real,SV183: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV183 )
| ~ ( ord_less_real @ SV183 @ SV100 ) ) )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV183 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1601]) ).
thf(1643,plain,
! [SV128: poly_real,SV100: real,SV191: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV191 )
| ~ ( ord_less_real @ SV191 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1602]) ).
thf(1644,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV160: real] :
( ( ( ord_less_real @ SV160 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV160 )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV160 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1603]) ).
thf(1645,plain,
! [SV128: poly_real,SV100: real,SV168: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV168 )
= $false )
| ( ( ~ ( ord_less_real @ SV168 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1604]) ).
thf(1646,plain,
! [SV128: poly_real,SV100: real,SV184: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV184 )
| ~ ( ord_less_real @ SV184 @ SV100 ) ) )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV184 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1605]) ).
thf(1647,plain,
! [SV128: poly_real,SV100: real,SV192: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV192 )
| ~ ( ord_less_real @ SV192 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1606]) ).
thf(1648,plain,
! [SV128: poly_real,SV100: real,SV185: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV185 )
| ~ ( ord_less_real @ SV185 @ SV100 ) ) )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV185 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1607]) ).
thf(1649,plain,
! [SV128: poly_real,SV100: real,SV193: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV193 )
| ~ ( ord_less_real @ SV193 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1608]) ).
thf(1650,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV161: real] :
( ( ( ord_less_real @ SV161 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV161 )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV161 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1651,plain,
! [SV128: poly_real,SV100: real,SV169: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV169 )
= $false )
| ( ( ~ ( ord_less_real @ SV169 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1610]) ).
thf(1652,plain,
! [SV116: poly_real,SV82: real,SV170: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV170 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV170 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV170 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1611]) ).
thf(1653,plain,
! [SV116: poly_real,SV82: real,SV174: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV174 )
| ~ ( ord_less_eq_real @ SV174 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1612]) ).
thf(1654,plain,
! [SV116: poly_real,SV82: real,SV171: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV171 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV171 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV171 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1613]) ).
thf(1655,plain,
! [SV116: poly_real,SV82: real,SV175: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV175 )
| ~ ( ord_less_eq_real @ SV175 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1614]) ).
thf(1656,plain,
! [SV82: real,SV33: real,SV156: real,SV116: poly_real] :
( ( ( ( poly_real2 @ SV116 @ SV156 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV33 @ SV156 )
= $false )
| ( ( ord_less_eq_real @ SV156 @ SV82 )
= $false )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1657,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV162: real] :
( ( ( ord_less_eq_real @ SV162 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV162 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1616]) ).
thf(1658,plain,
! [SV116: poly_real,SV82: real,SV176: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV176 )
| ~ ( ord_less_eq_real @ SV176 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV176 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1617]) ).
thf(1659,plain,
! [SV116: poly_real,SV82: real,SV186: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV186 )
| ~ ( ord_less_eq_real @ SV186 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1618]) ).
thf(1660,plain,
! [SV116: poly_real,SV82: real,SV177: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV177 )
| ~ ( ord_less_eq_real @ SV177 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV177 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1619]) ).
thf(1661,plain,
! [SV116: poly_real,SV82: real,SV187: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV187 )
| ~ ( ord_less_eq_real @ SV187 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1620]) ).
thf(1662,plain,
! [SV82: real,SV33: real,SV157: real,SV116: poly_real] :
( ( ( ( poly_real2 @ SV116 @ SV157 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV33 @ SV157 )
= $false )
| ( ( ord_less_eq_real @ SV157 @ SV82 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1621]) ).
thf(1663,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV163: real] :
( ( ( ord_less_eq_real @ SV163 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV163 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1622]) ).
thf(1664,plain,
! [SV116: poly_real,SV82: real,SV178: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV178 )
| ~ ( ord_less_eq_real @ SV178 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV178 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1623]) ).
thf(1665,plain,
! [SV116: poly_real,SV82: real,SV188: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV188 )
| ~ ( ord_less_eq_real @ SV188 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1624]) ).
thf(1666,plain,
! [SV116: poly_real,SV82: real,SV179: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV179 )
| ~ ( ord_less_eq_real @ SV179 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV179 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1625]) ).
thf(1667,plain,
! [SV116: poly_real,SV82: real,SV189: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV189 )
| ~ ( ord_less_eq_real @ SV189 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1626]) ).
thf(1668,plain,
! [SV82: real,SV33: real,SV158: real,SV116: poly_real] :
( ( ( ( poly_real2 @ SV116 @ SV158 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV33 @ SV158 )
= $false )
| ( ( ord_less_eq_real @ SV158 @ SV82 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1627]) ).
thf(1669,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV164: real] :
( ( ( ord_less_eq_real @ SV164 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV164 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1628]) ).
thf(1670,plain,
( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1631]) ).
thf(1671,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1632]) ).
thf(1672,plain,
( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $false )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1673,plain,
( ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1674,plain,
! [SV128: poly_real,SV100: real,SV172: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV172 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV172 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV172 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1634]) ).
thf(1675,plain,
! [SV128: poly_real,SV100: real,SV180: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV180 )
| ~ ( ord_less_real @ SV180 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1635]) ).
thf(1676,plain,
! [SV128: poly_real,SV100: real,SV173: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV173 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV173 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV173 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1636]) ).
thf(1677,plain,
! [SV128: poly_real,SV100: real,SV181: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV181 )
| ~ ( ord_less_real @ SV181 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1637]) ).
thf(1678,plain,
! [SV100: real,SV51: real,SV159: real,SV128: poly_real] :
( ( ( ( poly_real2 @ SV128 @ SV159 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV159 )
= $false )
| ( ( ord_less_real @ SV159 @ SV100 )
= $false )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1638]) ).
thf(1679,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV167: real] :
( ( ( ord_less_real @ SV167 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV167 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1639]) ).
thf(1680,plain,
! [SV128: poly_real,SV100: real,SV182: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV182 )
| ~ ( ord_less_real @ SV182 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV182 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1640]) ).
thf(1681,plain,
! [SV128: poly_real,SV100: real,SV190: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV190 )
| ~ ( ord_less_real @ SV190 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1641]) ).
thf(1682,plain,
! [SV128: poly_real,SV100: real,SV183: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV183 )
| ~ ( ord_less_real @ SV183 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV183 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1642]) ).
thf(1683,plain,
! [SV128: poly_real,SV100: real,SV191: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV191 )
| ~ ( ord_less_real @ SV191 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1643]) ).
thf(1684,plain,
! [SV100: real,SV51: real,SV160: real,SV128: poly_real] :
( ( ( ( poly_real2 @ SV128 @ SV160 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV160 )
= $false )
| ( ( ord_less_real @ SV160 @ SV100 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1644]) ).
thf(1685,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV168: real] :
( ( ( ord_less_real @ SV168 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV168 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1645]) ).
thf(1686,plain,
! [SV128: poly_real,SV100: real,SV184: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV184 )
| ~ ( ord_less_real @ SV184 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV184 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1646]) ).
thf(1687,plain,
! [SV128: poly_real,SV100: real,SV192: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV192 )
| ~ ( ord_less_real @ SV192 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1647]) ).
thf(1688,plain,
! [SV128: poly_real,SV100: real,SV185: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV185 )
| ~ ( ord_less_real @ SV185 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV185 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1648]) ).
thf(1689,plain,
! [SV128: poly_real,SV100: real,SV193: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV193 )
| ~ ( ord_less_real @ SV193 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1649]) ).
thf(1690,plain,
! [SV100: real,SV51: real,SV161: real,SV128: poly_real] :
( ( ( ( poly_real2 @ SV128 @ SV161 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV161 )
= $false )
| ( ( ord_less_real @ SV161 @ SV100 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1650]) ).
thf(1691,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV169: real] :
( ( ( ord_less_real @ SV169 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV169 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1651]) ).
thf(1692,plain,
! [SV116: poly_real,SV82: real,SV170: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV170 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV170 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV170 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1693,plain,
! [SV116: poly_real,SV82: real,SV174: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV174 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV174 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1653]) ).
thf(1694,plain,
! [SV116: poly_real,SV82: real,SV171: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV171 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV171 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV171 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1654]) ).
thf(1695,plain,
! [SV116: poly_real,SV82: real,SV175: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV175 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV175 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1655]) ).
thf(1696,plain,
! [SV162: real,SV116: poly_real,SV82: real,SV194: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV194 )
| ~ ( ord_less_eq_real @ SV194 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SV194 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV162 )
= $false )
| ( ( ord_less_eq_real @ SV162 @ SV82 )
= $false )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1657]) ).
thf(1697,plain,
! [SV116: poly_real,SV82: real,SV176: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV176 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV176 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV176 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1658]) ).
thf(1698,plain,
! [SV116: poly_real,SV82: real,SV186: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV186 )
| ~ ( ord_less_eq_real @ SV186 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1659]) ).
thf(1699,plain,
! [SV116: poly_real,SV82: real,SV177: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV177 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV177 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV177 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1660]) ).
thf(1700,plain,
! [SV116: poly_real,SV82: real,SV187: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV187 )
| ~ ( ord_less_eq_real @ SV187 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1661]) ).
thf(1701,plain,
! [SV163: real,SV116: poly_real,SV82: real,SV195: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV195 )
| ~ ( ord_less_eq_real @ SV195 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SV195 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV163 )
= $false )
| ( ( ord_less_eq_real @ SV163 @ SV82 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1663]) ).
thf(1702,plain,
! [SV116: poly_real,SV82: real,SV178: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV178 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV178 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV178 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1664]) ).
thf(1703,plain,
! [SV116: poly_real,SV82: real,SV188: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV188 )
| ~ ( ord_less_eq_real @ SV188 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1665]) ).
thf(1704,plain,
! [SV116: poly_real,SV82: real,SV179: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV179 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV179 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV179 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1666]) ).
thf(1705,plain,
! [SV116: poly_real,SV82: real,SV189: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV189 )
| ~ ( ord_less_eq_real @ SV189 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1706,plain,
! [SV164: real,SV116: poly_real,SV82: real,SV196: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV196 )
| ~ ( ord_less_eq_real @ SV196 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SV196 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV164 )
= $false )
| ( ( ord_less_eq_real @ SV164 @ SV82 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1669]) ).
thf(1707,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
= $false )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1670]) ).
thf(1708,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) ) )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1671]) ).
thf(1709,plain,
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1671]) ).
thf(1710,plain,
( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( ~ ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1672]) ).
thf(1711,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1673]) ).
thf(1712,plain,
! [SV128: poly_real,SV100: real,SV172: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV172 )
= $false )
| ( ( ~ ( ord_less_real @ SV172 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV172 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1674]) ).
thf(1713,plain,
! [SV128: poly_real,SV100: real,SV180: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV180 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV180 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1675]) ).
thf(1714,plain,
! [SV128: poly_real,SV100: real,SV173: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV173 )
= $false )
| ( ( ~ ( ord_less_real @ SV173 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV173 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1676]) ).
thf(1715,plain,
! [SV128: poly_real,SV100: real,SV181: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV181 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV181 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1677]) ).
thf(1716,plain,
! [SV167: real,SV128: poly_real,SV100: real,SV197: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV197 )
| ~ ( ord_less_real @ SV197 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SV197 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV167 )
= $false )
| ( ( ord_less_real @ SV167 @ SV100 )
= $false )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1679]) ).
thf(1717,plain,
! [SV128: poly_real,SV100: real,SV182: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV182 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV182 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV182 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1680]) ).
thf(1718,plain,
! [SV128: poly_real,SV100: real,SV190: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV190 )
| ~ ( ord_less_real @ SV190 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1681]) ).
thf(1719,plain,
! [SV128: poly_real,SV100: real,SV183: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV183 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV183 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV183 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1682]) ).
thf(1720,plain,
! [SV128: poly_real,SV100: real,SV191: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV191 )
| ~ ( ord_less_real @ SV191 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1683]) ).
thf(1721,plain,
! [SV168: real,SV128: poly_real,SV100: real,SV198: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV198 )
| ~ ( ord_less_real @ SV198 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SV198 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV168 )
= $false )
| ( ( ord_less_real @ SV168 @ SV100 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1685]) ).
thf(1722,plain,
! [SV128: poly_real,SV100: real,SV184: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV184 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV184 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV184 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1686]) ).
thf(1723,plain,
! [SV128: poly_real,SV100: real,SV192: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV192 )
| ~ ( ord_less_real @ SV192 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1687]) ).
thf(1724,plain,
! [SV128: poly_real,SV100: real,SV185: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV185 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV185 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV185 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1688]) ).
thf(1725,plain,
! [SV128: poly_real,SV100: real,SV193: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV193 )
| ~ ( ord_less_real @ SV193 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1726,plain,
! [SV169: real,SV128: poly_real,SV100: real,SV199: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV199 )
| ~ ( ord_less_real @ SV199 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SV199 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV169 )
= $false )
| ( ( ord_less_real @ SV169 @ SV100 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(1727,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV170: real] :
( ( ( ord_less_eq_real @ SV170 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV170 )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV170 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1692]) ).
thf(1728,plain,
! [SV116: poly_real,SV82: real,SV174: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV174 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV174 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1729,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV171: real] :
( ( ( ord_less_eq_real @ SV171 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV171 )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV171 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1694]) ).
thf(1730,plain,
! [SV116: poly_real,SV82: real,SV175: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV175 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV175 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1695]) ).
thf(1731,plain,
! [SV162: real,SV116: poly_real,SV82: real,SV194: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV194 )
| ~ ( ord_less_eq_real @ SV194 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV194 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV162 )
= $false )
| ( ( ord_less_eq_real @ SV162 @ SV82 )
= $false )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1696]) ).
thf(1732,plain,
! [SV116: poly_real,SV82: real,SV176: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV176 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV176 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV176 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1697]) ).
thf(1733,plain,
! [SV116: poly_real,SV82: real,SV186: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV186 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV186 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1698]) ).
thf(1734,plain,
! [SV116: poly_real,SV82: real,SV177: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV177 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV177 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV177 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1699]) ).
thf(1735,plain,
! [SV116: poly_real,SV82: real,SV187: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV187 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV187 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1700]) ).
thf(1736,plain,
! [SV163: real,SV116: poly_real,SV82: real,SV195: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV195 )
| ~ ( ord_less_eq_real @ SV195 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV195 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV163 )
= $false )
| ( ( ord_less_eq_real @ SV163 @ SV82 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1701]) ).
thf(1737,plain,
! [SV116: poly_real,SV82: real,SV178: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV178 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV178 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV178 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1702]) ).
thf(1738,plain,
! [SV116: poly_real,SV82: real,SV188: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV188 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV188 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1703]) ).
thf(1739,plain,
! [SV116: poly_real,SV82: real,SV179: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV179 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV179 @ SV82 ) )
= $true )
| ( ( ( poly_real2 @ SV116 @ SV179 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1704]) ).
thf(1740,plain,
! [SV116: poly_real,SV82: real,SV189: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV189 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV189 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1705]) ).
thf(1741,plain,
! [SV164: real,SV116: poly_real,SV82: real,SV196: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV196 )
| ~ ( ord_less_eq_real @ SV196 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV196 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV164 )
= $false )
| ( ( ord_less_eq_real @ SV164 @ SV82 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1706]) ).
thf(1742,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) ) )
= $false )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1707]) ).
thf(1743,plain,
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $false )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1707]) ).
thf(1744,plain,
( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1708]) ).
thf(1745,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) )
| ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) ) )
= $false )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1710]) ).
thf(1746,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) ) )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1747,plain,
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1748,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV172: real] :
( ( ( ord_less_real @ SV172 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV172 )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV172 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1712]) ).
thf(1749,plain,
! [SV128: poly_real,SV100: real,SV180: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV180 )
= $false )
| ( ( ~ ( ord_less_real @ SV180 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1713]) ).
thf(1750,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV173: real] :
( ( ( ord_less_real @ SV173 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV173 )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV173 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1714]) ).
thf(1751,plain,
! [SV128: poly_real,SV100: real,SV181: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV181 )
= $false )
| ( ( ~ ( ord_less_real @ SV181 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1752,plain,
! [SV167: real,SV128: poly_real,SV100: real,SV197: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV197 )
| ~ ( ord_less_real @ SV197 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV197 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV167 )
= $false )
| ( ( ord_less_real @ SV167 @ SV100 )
= $false )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1716]) ).
thf(1753,plain,
! [SV128: poly_real,SV100: real,SV182: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV182 )
= $false )
| ( ( ~ ( ord_less_real @ SV182 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV182 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1717]) ).
thf(1754,plain,
! [SV128: poly_real,SV100: real,SV190: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV190 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV190 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1718]) ).
thf(1755,plain,
! [SV128: poly_real,SV100: real,SV183: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV183 )
= $false )
| ( ( ~ ( ord_less_real @ SV183 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV183 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1719]) ).
thf(1756,plain,
! [SV128: poly_real,SV100: real,SV191: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV191 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV191 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1720]) ).
thf(1757,plain,
! [SV168: real,SV128: poly_real,SV100: real,SV198: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV198 )
| ~ ( ord_less_real @ SV198 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV198 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV168 )
= $false )
| ( ( ord_less_real @ SV168 @ SV100 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1721]) ).
thf(1758,plain,
! [SV128: poly_real,SV100: real,SV184: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV184 )
= $false )
| ( ( ~ ( ord_less_real @ SV184 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV184 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1759,plain,
! [SV128: poly_real,SV100: real,SV192: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV192 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV192 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1723]) ).
thf(1760,plain,
! [SV128: poly_real,SV100: real,SV185: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV185 )
= $false )
| ( ( ~ ( ord_less_real @ SV185 @ SV100 ) )
= $true )
| ( ( ( poly_real2 @ SV128 @ SV185 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1761,plain,
! [SV128: poly_real,SV100: real,SV193: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV193 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV193 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1725]) ).
thf(1762,plain,
! [SV169: real,SV128: poly_real,SV100: real,SV199: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV199 )
| ~ ( ord_less_real @ SV199 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV199 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV169 )
= $false )
| ( ( ord_less_real @ SV169 @ SV100 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1726]) ).
thf(1763,plain,
! [SV82: real,SV33: real,SV170: real,SV116: poly_real] :
( ( ( ( poly_real2 @ SV116 @ SV170 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV33 @ SV170 )
= $false )
| ( ( ord_less_eq_real @ SV170 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1764,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV174: real] :
( ( ( ord_less_eq_real @ SV174 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV174 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1728]) ).
thf(1765,plain,
! [SV82: real,SV33: real,SV171: real,SV116: poly_real] :
( ( ( ( poly_real2 @ SV116 @ SV171 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV33 @ SV171 )
= $false )
| ( ( ord_less_eq_real @ SV171 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(1766,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV175: real] :
( ( ( ord_less_eq_real @ SV175 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV175 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1730]) ).
thf(1767,plain,
! [SV162: real,SV116: poly_real,SV82: real,SV194: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV194 )
| ~ ( ord_less_eq_real @ SV194 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV194 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV162 )
= $false )
| ( ( ord_less_eq_real @ SV162 @ SV82 )
= $false )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1731]) ).
thf(1768,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV176: real] :
( ( ( ord_less_eq_real @ SV176 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV176 )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV176 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1732]) ).
thf(1769,plain,
! [SV116: poly_real,SV82: real,SV186: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV186 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV186 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1733]) ).
thf(1770,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV177: real] :
( ( ( ord_less_eq_real @ SV177 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV177 )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV177 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1734]) ).
thf(1771,plain,
! [SV116: poly_real,SV82: real,SV187: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV187 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV187 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1735]) ).
thf(1772,plain,
! [SV163: real,SV116: poly_real,SV82: real,SV195: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV195 )
| ~ ( ord_less_eq_real @ SV195 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV195 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV163 )
= $false )
| ( ( ord_less_eq_real @ SV163 @ SV82 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1736]) ).
thf(1773,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV178: real] :
( ( ( ord_less_eq_real @ SV178 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV178 )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV178 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1737]) ).
thf(1774,plain,
! [SV116: poly_real,SV82: real,SV188: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV188 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV188 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1738]) ).
thf(1775,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV179: real] :
( ( ( ord_less_eq_real @ SV179 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV179 )
= $false )
| ( ( ( poly_real2 @ SV116 @ SV179 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1739]) ).
thf(1776,plain,
! [SV116: poly_real,SV82: real,SV189: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV189 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV189 @ SV82 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1740]) ).
thf(1777,plain,
! [SV164: real,SV116: poly_real,SV82: real,SV196: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV196 )
| ~ ( ord_less_eq_real @ SV196 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV196 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV164 )
= $false )
| ( ( ord_less_eq_real @ SV164 @ SV82 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1741]) ).
thf(1778,plain,
( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1742]) ).
thf(1779,plain,
( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(1780,plain,
( ( ( ~ ( ( ( poly_real2 @ p @ x )
!= zero_zero_real ) ) )
= $false )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1745]) ).
thf(1781,plain,
( ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $false )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1745]) ).
thf(1782,plain,
( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1746]) ).
thf(1783,plain,
! [SV100: real,SV51: real,SV172: real,SV128: poly_real] :
( ( ( ( poly_real2 @ SV128 @ SV172 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV172 )
= $false )
| ( ( ord_less_real @ SV172 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1748]) ).
thf(1784,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV180: real] :
( ( ( ord_less_real @ SV180 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV180 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1749]) ).
thf(1785,plain,
! [SV100: real,SV51: real,SV173: real,SV128: poly_real] :
( ( ( ( poly_real2 @ SV128 @ SV173 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV173 )
= $false )
| ( ( ord_less_real @ SV173 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1750]) ).
thf(1786,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV181: real] :
( ( ( ord_less_real @ SV181 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV181 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1751]) ).
thf(1787,plain,
! [SV167: real,SV128: poly_real,SV100: real,SV197: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV197 )
| ~ ( ord_less_real @ SV197 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV197 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV167 )
= $false )
| ( ( ord_less_real @ SV167 @ SV100 )
= $false )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1752]) ).
thf(1788,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV182: real] :
( ( ( ord_less_real @ SV182 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV182 )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV182 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1753]) ).
thf(1789,plain,
! [SV128: poly_real,SV100: real,SV190: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV190 )
= $false )
| ( ( ~ ( ord_less_real @ SV190 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1754]) ).
thf(1790,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV183: real] :
( ( ( ord_less_real @ SV183 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV183 )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV183 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1755]) ).
thf(1791,plain,
! [SV128: poly_real,SV100: real,SV191: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV191 )
= $false )
| ( ( ~ ( ord_less_real @ SV191 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1756]) ).
thf(1792,plain,
! [SV168: real,SV128: poly_real,SV100: real,SV198: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV198 )
| ~ ( ord_less_real @ SV198 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV198 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV168 )
= $false )
| ( ( ord_less_real @ SV168 @ SV100 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1757]) ).
thf(1793,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV184: real] :
( ( ( ord_less_real @ SV184 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV184 )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV184 )
!= zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1758]) ).
thf(1794,plain,
! [SV128: poly_real,SV100: real,SV192: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV192 )
= $false )
| ( ( ~ ( ord_less_real @ SV192 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1759]) ).
thf(1795,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV185: real] :
( ( ( ord_less_real @ SV185 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV185 )
= $false )
| ( ( ( poly_real2 @ SV128 @ SV185 )
!= zero_zero_real )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1760]) ).
thf(1796,plain,
! [SV128: poly_real,SV100: real,SV193: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV193 )
= $false )
| ( ( ~ ( ord_less_real @ SV193 @ SV100 ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1761]) ).
thf(1797,plain,
! [SV169: real,SV128: poly_real,SV100: real,SV199: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV199 )
| ~ ( ord_less_real @ SV199 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV199 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV169 )
= $false )
| ( ( ord_less_real @ SV169 @ SV100 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1762]) ).
thf(1798,plain,
! [SV174: real,SV116: poly_real,SV82: real,SV200: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV200 )
| ~ ( ord_less_eq_real @ SV200 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SV200 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV174 )
= $false )
| ( ( ord_less_eq_real @ SV174 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1764]) ).
thf(1799,plain,
! [SV175: real,SV116: poly_real,SV82: real,SV201: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV201 )
| ~ ( ord_less_eq_real @ SV201 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SV201 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV175 )
= $false )
| ( ( ord_less_eq_real @ SV175 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1766]) ).
thf(1800,plain,
! [SV162: real,SV116: poly_real,SV82: real,SV194: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV194 )
| ~ ( ord_less_eq_real @ SV194 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV194 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV162 )
= $false )
| ( ( ord_less_eq_real @ SV162 @ SV82 )
= $false )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1767]) ).
thf(1801,plain,
! [SV82: real,SV33: real,SV176: real,SV116: poly_real] :
( ( ( ( poly_real2 @ SV116 @ SV176 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV33 @ SV176 )
= $false )
| ( ( ord_less_eq_real @ SV176 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1768]) ).
thf(1802,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV186: real] :
( ( ( ord_less_eq_real @ SV186 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV186 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1769]) ).
thf(1803,plain,
! [SV82: real,SV33: real,SV177: real,SV116: poly_real] :
( ( ( ( poly_real2 @ SV116 @ SV177 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV33 @ SV177 )
= $false )
| ( ( ord_less_eq_real @ SV177 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1770]) ).
thf(1804,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV187: real] :
( ( ( ord_less_eq_real @ SV187 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV187 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1771]) ).
thf(1805,plain,
! [SV163: real,SV116: poly_real,SV82: real,SV195: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV195 )
| ~ ( ord_less_eq_real @ SV195 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV195 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV163 )
= $false )
| ( ( ord_less_eq_real @ SV163 @ SV82 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1772]) ).
thf(1806,plain,
! [SV82: real,SV33: real,SV178: real,SV116: poly_real] :
( ( ( ( poly_real2 @ SV116 @ SV178 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV33 @ SV178 )
= $false )
| ( ( ord_less_eq_real @ SV178 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1773]) ).
thf(1807,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV188: real] :
( ( ( ord_less_eq_real @ SV188 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV188 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1774]) ).
thf(1808,plain,
! [SV82: real,SV33: real,SV179: real,SV116: poly_real] :
( ( ( ( poly_real2 @ SV116 @ SV179 )
= zero_zero_real )
= $false )
| ( ( ord_less_real @ SV33 @ SV179 )
= $false )
| ( ( ord_less_eq_real @ SV179 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1775]) ).
thf(1809,plain,
! [SV116: poly_real,SV33: real,SV82: real,SV189: real] :
( ( ( ord_less_eq_real @ SV189 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV189 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) )
= $true )
| ( ( ! [SY429: real] :
( ~ ~ ( ~ ( ord_less_real @ SV33 @ SY429 )
| ~ ( ord_less_eq_real @ SY429 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SY429 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1776]) ).
thf(1810,plain,
! [SV164: real,SV116: poly_real,SV82: real,SV196: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV196 )
| ~ ( ord_less_eq_real @ SV196 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV196 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV164 )
= $false )
| ( ( ord_less_eq_real @ SV164 @ SV82 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1777]) ).
thf(1811,plain,
( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1778]) ).
thf(1812,plain,
( ( ( ( poly_real2 @ p @ x )
!= zero_zero_real )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1780]) ).
thf(1813,plain,
( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false )
| ( ( sturm_469514713_r_pos @ ( pderiv_real @ p ) @ x )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1782]) ).
thf(1814,plain,
! [SV180: real,SV128: poly_real,SV100: real,SV202: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV202 )
| ~ ( ord_less_real @ SV202 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SV202 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV180 )
= $false )
| ( ( ord_less_real @ SV180 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1784]) ).
thf(1815,plain,
! [SV181: real,SV128: poly_real,SV100: real,SV203: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV203 )
| ~ ( ord_less_real @ SV203 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SV203 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV181 )
= $false )
| ( ( ord_less_real @ SV181 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1786]) ).
thf(1816,plain,
! [SV167: real,SV128: poly_real,SV100: real,SV197: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV197 )
| ~ ( ord_less_real @ SV197 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV197 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV167 )
= $false )
| ( ( ord_less_real @ SV167 @ SV100 )
= $false )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1787]) ).
thf(1817,plain,
! [SV100: real,SV51: real,SV182: real,SV128: poly_real] :
( ( ( ( poly_real2 @ SV128 @ SV182 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV182 )
= $false )
| ( ( ord_less_real @ SV182 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1788]) ).
thf(1818,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV190: real] :
( ( ( ord_less_real @ SV190 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV190 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1789]) ).
thf(1819,plain,
! [SV100: real,SV51: real,SV183: real,SV128: poly_real] :
( ( ( ( poly_real2 @ SV128 @ SV183 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV183 )
= $false )
| ( ( ord_less_real @ SV183 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1790]) ).
thf(1820,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV191: real] :
( ( ( ord_less_real @ SV191 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV191 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1791]) ).
thf(1821,plain,
! [SV168: real,SV128: poly_real,SV100: real,SV198: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV198 )
| ~ ( ord_less_real @ SV198 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV198 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV168 )
= $false )
| ( ( ord_less_real @ SV168 @ SV100 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1792]) ).
thf(1822,plain,
! [SV100: real,SV51: real,SV184: real,SV128: poly_real] :
( ( ( ( poly_real2 @ SV128 @ SV184 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV184 )
= $false )
| ( ( ord_less_real @ SV184 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1793]) ).
thf(1823,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV192: real] :
( ( ( ord_less_real @ SV192 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV192 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1794]) ).
thf(1824,plain,
! [SV100: real,SV51: real,SV185: real,SV128: poly_real] :
( ( ( ( poly_real2 @ SV128 @ SV185 )
= zero_zero_real )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV185 )
= $false )
| ( ( ord_less_real @ SV185 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1795]) ).
thf(1825,plain,
! [SV128: poly_real,SV51: real,SV100: real,SV193: real] :
( ( ( ord_less_real @ SV193 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV193 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) )
= $true )
| ( ( ! [SY446: real] :
( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SY446 )
| ~ ( ord_less_real @ SY446 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SY446 ) @ zero_zero_real ) ) )
= $true )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1796]) ).
thf(1826,plain,
! [SV169: real,SV128: poly_real,SV100: real,SV199: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV199 )
| ~ ( ord_less_real @ SV199 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV199 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV169 )
= $false )
| ( ( ord_less_real @ SV169 @ SV100 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1797]) ).
thf(1827,plain,
! [SV174: real,SV116: poly_real,SV82: real,SV200: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV200 )
| ~ ( ord_less_eq_real @ SV200 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV200 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV174 )
= $false )
| ( ( ord_less_eq_real @ SV174 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1798]) ).
thf(1828,plain,
! [SV175: real,SV116: poly_real,SV82: real,SV201: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV201 )
| ~ ( ord_less_eq_real @ SV201 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV201 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV175 )
= $false )
| ( ( ord_less_eq_real @ SV175 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1799]) ).
thf(1829,plain,
! [SV162: real,SV116: poly_real,SV82: real,SV194: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV194 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV194 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV194 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV162 )
= $false )
| ( ( ord_less_eq_real @ SV162 @ SV82 )
= $false )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1800]) ).
thf(1830,plain,
! [SV186: real,SV116: poly_real,SV82: real,SV204: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV204 )
| ~ ( ord_less_eq_real @ SV204 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SV204 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV186 )
= $false )
| ( ( ord_less_eq_real @ SV186 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1802]) ).
thf(1831,plain,
! [SV187: real,SV116: poly_real,SV82: real,SV205: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV205 )
| ~ ( ord_less_eq_real @ SV205 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SV205 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV187 )
= $false )
| ( ( ord_less_eq_real @ SV187 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1804]) ).
thf(1832,plain,
! [SV163: real,SV116: poly_real,SV82: real,SV195: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV195 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV195 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV195 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV163 )
= $false )
| ( ( ord_less_eq_real @ SV163 @ SV82 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1805]) ).
thf(1833,plain,
! [SV188: real,SV116: poly_real,SV82: real,SV206: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV206 )
| ~ ( ord_less_eq_real @ SV206 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SV206 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV188 )
= $false )
| ( ( ord_less_eq_real @ SV188 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1807]) ).
thf(1834,plain,
! [SV189: real,SV116: poly_real,SV82: real,SV207: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV207 )
| ~ ( ord_less_eq_real @ SV207 @ SV82 ) )
| ( ord_less_real @ ( poly_real2 @ SV116 @ SV207 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV189 )
= $false )
| ( ( ord_less_eq_real @ SV189 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1809]) ).
thf(1835,plain,
! [SV164: real,SV116: poly_real,SV82: real,SV196: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV196 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV196 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV196 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV164 )
= $false )
| ( ( ord_less_eq_real @ SV164 @ SV82 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1810]) ).
thf(1836,plain,
( ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $false )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ p @ x ) )
= $true )
| ( ( ( poly_real2 @ p @ x )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1812]) ).
thf(1837,plain,
! [SV180: real,SV128: poly_real,SV100: real,SV202: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV202 )
| ~ ( ord_less_real @ SV202 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV202 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV180 )
= $false )
| ( ( ord_less_real @ SV180 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1814]) ).
thf(1838,plain,
! [SV181: real,SV128: poly_real,SV100: real,SV203: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV203 )
| ~ ( ord_less_real @ SV203 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV203 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV181 )
= $false )
| ( ( ord_less_real @ SV181 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1815]) ).
thf(1839,plain,
! [SV167: real,SV128: poly_real,SV100: real,SV197: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV197 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV197 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV197 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV167 )
= $false )
| ( ( ord_less_real @ SV167 @ SV100 )
= $false )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1816]) ).
thf(1840,plain,
! [SV190: real,SV128: poly_real,SV100: real,SV208: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV208 )
| ~ ( ord_less_real @ SV208 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SV208 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV190 )
= $false )
| ( ( ord_less_real @ SV190 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(1841,plain,
! [SV191: real,SV128: poly_real,SV100: real,SV209: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV209 )
| ~ ( ord_less_real @ SV209 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SV209 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV191 )
= $false )
| ( ( ord_less_real @ SV191 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1820]) ).
thf(1842,plain,
! [SV168: real,SV128: poly_real,SV100: real,SV198: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV198 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV198 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV198 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV168 )
= $false )
| ( ( ord_less_real @ SV168 @ SV100 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1821]) ).
thf(1843,plain,
! [SV192: real,SV128: poly_real,SV100: real,SV210: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV210 )
| ~ ( ord_less_real @ SV210 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SV210 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV192 )
= $false )
| ( ( ord_less_real @ SV192 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1823]) ).
thf(1844,plain,
! [SV193: real,SV128: poly_real,SV100: real,SV211: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV211 )
| ~ ( ord_less_real @ SV211 @ SV100 ) )
| ( ord_less_real @ ( poly_real2 @ SV128 @ SV211 ) @ zero_zero_real ) )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV193 )
= $false )
| ( ( ord_less_real @ SV193 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1825]) ).
thf(1845,plain,
! [SV169: real,SV128: poly_real,SV100: real,SV199: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV199 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV199 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV199 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV169 )
= $false )
| ( ( ord_less_real @ SV169 @ SV100 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1826]) ).
thf(1846,plain,
! [SV174: real,SV116: poly_real,SV82: real,SV200: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV200 )
| ~ ( ord_less_eq_real @ SV200 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV200 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV174 )
= $false )
| ( ( ord_less_eq_real @ SV174 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1827]) ).
thf(1847,plain,
! [SV175: real,SV116: poly_real,SV82: real,SV201: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV201 )
| ~ ( ord_less_eq_real @ SV201 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV201 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV175 )
= $false )
| ( ( ord_less_eq_real @ SV175 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1828]) ).
thf(1848,plain,
! [SV162: real,SV116: poly_real,SV82: real,SV194: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV194 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV194 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV194 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV162 )
= $false )
| ( ( ord_less_eq_real @ SV162 @ SV82 )
= $false )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1829]) ).
thf(1849,plain,
! [SV186: real,SV116: poly_real,SV82: real,SV204: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV204 )
| ~ ( ord_less_eq_real @ SV204 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV204 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV186 )
= $false )
| ( ( ord_less_eq_real @ SV186 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1830]) ).
thf(1850,plain,
! [SV187: real,SV116: poly_real,SV82: real,SV205: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV205 )
| ~ ( ord_less_eq_real @ SV205 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV205 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV187 )
= $false )
| ( ( ord_less_eq_real @ SV187 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1831]) ).
thf(1851,plain,
! [SV163: real,SV116: poly_real,SV82: real,SV195: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV195 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV195 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV195 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV163 )
= $false )
| ( ( ord_less_eq_real @ SV163 @ SV82 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1832]) ).
thf(1852,plain,
! [SV188: real,SV116: poly_real,SV82: real,SV206: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV206 )
| ~ ( ord_less_eq_real @ SV206 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV206 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV188 )
= $false )
| ( ( ord_less_eq_real @ SV188 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1833]) ).
thf(1853,plain,
! [SV189: real,SV116: poly_real,SV82: real,SV207: real,SV33: real] :
( ( ( ~ ~ ( ~ ( ord_less_real @ SV33 @ SV207 )
| ~ ( ord_less_eq_real @ SV207 @ SV82 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV207 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV189 )
= $false )
| ( ( ord_less_eq_real @ SV189 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1834]) ).
thf(1854,plain,
! [SV164: real,SV116: poly_real,SV82: real,SV196: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV196 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV196 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV196 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV164 )
= $false )
| ( ( ord_less_eq_real @ SV164 @ SV82 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1835]) ).
thf(1855,plain,
! [SV180: real,SV128: poly_real,SV100: real,SV202: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV202 )
| ~ ( ord_less_real @ SV202 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV202 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV180 )
= $false )
| ( ( ord_less_real @ SV180 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1837]) ).
thf(1856,plain,
! [SV181: real,SV128: poly_real,SV100: real,SV203: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV203 )
| ~ ( ord_less_real @ SV203 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV203 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV181 )
= $false )
| ( ( ord_less_real @ SV181 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1838]) ).
thf(1857,plain,
! [SV167: real,SV128: poly_real,SV100: real,SV197: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV197 )
= $false )
| ( ( ~ ( ord_less_real @ SV197 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV197 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV167 )
= $false )
| ( ( ord_less_real @ SV167 @ SV100 )
= $false )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(1858,plain,
! [SV190: real,SV128: poly_real,SV100: real,SV208: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV208 )
| ~ ( ord_less_real @ SV208 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV208 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV190 )
= $false )
| ( ( ord_less_real @ SV190 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1840]) ).
thf(1859,plain,
! [SV191: real,SV128: poly_real,SV100: real,SV209: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV209 )
| ~ ( ord_less_real @ SV209 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV209 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV191 )
= $false )
| ( ( ord_less_real @ SV191 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1841]) ).
thf(1860,plain,
! [SV168: real,SV128: poly_real,SV100: real,SV198: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV198 )
= $false )
| ( ( ~ ( ord_less_real @ SV198 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV198 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV168 )
= $false )
| ( ( ord_less_real @ SV168 @ SV100 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1842]) ).
thf(1861,plain,
! [SV192: real,SV128: poly_real,SV100: real,SV210: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV210 )
| ~ ( ord_less_real @ SV210 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV210 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV192 )
= $false )
| ( ( ord_less_real @ SV192 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1843]) ).
thf(1862,plain,
! [SV193: real,SV128: poly_real,SV100: real,SV211: real,SV51: real] :
( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV51 @ SV211 )
| ~ ( ord_less_real @ SV211 @ SV100 ) ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV211 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV193 )
= $false )
| ( ( ord_less_real @ SV193 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1844]) ).
thf(1863,plain,
! [SV169: real,SV128: poly_real,SV100: real,SV199: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV199 )
= $false )
| ( ( ~ ( ord_less_real @ SV199 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV199 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV169 )
= $false )
| ( ( ord_less_real @ SV169 @ SV100 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(1864,plain,
! [SV174: real,SV116: poly_real,SV82: real,SV200: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV200 )
| ~ ( ord_less_eq_real @ SV200 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV200 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV174 )
= $false )
| ( ( ord_less_eq_real @ SV174 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1846]) ).
thf(1865,plain,
! [SV175: real,SV116: poly_real,SV82: real,SV201: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV201 )
| ~ ( ord_less_eq_real @ SV201 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV201 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV175 )
= $false )
| ( ( ord_less_eq_real @ SV175 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1847]) ).
thf(1866,plain,
! [SV162: real,SV116: poly_real,SV33: real,SV82: real,SV194: real] :
( ( ( ord_less_eq_real @ SV194 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV194 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV194 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV162 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV162 )
= $false )
| ( ( ord_less_eq_real @ SV162 @ SV82 )
= $false )
| ( ( ( poly_real2 @ SV116 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1848]) ).
thf(1867,plain,
! [SV186: real,SV116: poly_real,SV82: real,SV204: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV204 )
| ~ ( ord_less_eq_real @ SV204 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV204 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV186 )
= $false )
| ( ( ord_less_eq_real @ SV186 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(1868,plain,
! [SV187: real,SV116: poly_real,SV82: real,SV205: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV205 )
| ~ ( ord_less_eq_real @ SV205 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV205 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV187 )
= $false )
| ( ( ord_less_eq_real @ SV187 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1850]) ).
thf(1869,plain,
! [SV163: real,SV116: poly_real,SV33: real,SV82: real,SV195: real] :
( ( ( ord_less_eq_real @ SV195 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV195 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV195 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV163 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV163 )
= $false )
| ( ( ord_less_eq_real @ SV163 @ SV82 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1851]) ).
thf(1870,plain,
! [SV188: real,SV116: poly_real,SV82: real,SV206: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV206 )
| ~ ( ord_less_eq_real @ SV206 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV206 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV188 )
= $false )
| ( ( ord_less_eq_real @ SV188 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1852]) ).
thf(1871,plain,
! [SV189: real,SV116: poly_real,SV82: real,SV207: real,SV33: real] :
( ( ( ~ ( ~ ( ord_less_real @ SV33 @ SV207 )
| ~ ( ord_less_eq_real @ SV207 @ SV82 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV207 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV189 )
= $false )
| ( ( ord_less_eq_real @ SV189 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1853]) ).
thf(1872,plain,
! [SV164: real,SV116: poly_real,SV33: real,SV82: real,SV196: real] :
( ( ( ord_less_eq_real @ SV196 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV196 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV196 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV164 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV164 )
= $false )
| ( ( ord_less_eq_real @ SV164 @ SV82 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1854]) ).
thf(1873,plain,
! [SV180: real,SV128: poly_real,SV100: real,SV202: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV202 )
| ~ ( ord_less_real @ SV202 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV202 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV180 )
= $false )
| ( ( ord_less_real @ SV180 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1855]) ).
thf(1874,plain,
! [SV181: real,SV128: poly_real,SV100: real,SV203: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV203 )
| ~ ( ord_less_real @ SV203 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV203 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV181 )
= $false )
| ( ( ord_less_real @ SV181 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1856]) ).
thf(1875,plain,
! [SV167: real,SV128: poly_real,SV51: real,SV100: real,SV197: real] :
( ( ( ord_less_real @ SV197 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV197 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV197 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV167 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV167 )
= $false )
| ( ( ord_less_real @ SV167 @ SV100 )
= $false )
| ( ( ( poly_real2 @ SV128 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= zero_zero_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(1876,plain,
! [SV190: real,SV128: poly_real,SV100: real,SV208: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV208 )
| ~ ( ord_less_real @ SV208 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV208 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV190 )
= $false )
| ( ( ord_less_real @ SV190 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1858]) ).
thf(1877,plain,
! [SV191: real,SV128: poly_real,SV100: real,SV209: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV209 )
| ~ ( ord_less_real @ SV209 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV209 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV191 )
= $false )
| ( ( ord_less_real @ SV191 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1859]) ).
thf(1878,plain,
! [SV168: real,SV128: poly_real,SV51: real,SV100: real,SV198: real] :
( ( ( ord_less_real @ SV198 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV198 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV198 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV168 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV168 )
= $false )
| ( ( ord_less_real @ SV168 @ SV100 )
= $false )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1860]) ).
thf(1879,plain,
! [SV192: real,SV128: poly_real,SV100: real,SV210: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV210 )
| ~ ( ord_less_real @ SV210 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV210 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV192 )
= $false )
| ( ( ord_less_real @ SV192 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1861]) ).
thf(1880,plain,
! [SV193: real,SV128: poly_real,SV100: real,SV211: real,SV51: real] :
( ( ( ~ ( ~ ( ord_less_eq_real @ SV51 @ SV211 )
| ~ ( ord_less_real @ SV211 @ SV100 ) ) )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV211 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV193 )
= $false )
| ( ( ord_less_real @ SV193 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1862]) ).
thf(1881,plain,
! [SV169: real,SV128: poly_real,SV51: real,SV100: real,SV199: real] :
( ( ( ord_less_real @ SV199 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV199 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV199 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV169 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV169 )
= $false )
| ( ( ord_less_real @ SV169 @ SV100 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1863]) ).
thf(1882,plain,
! [SV174: real,SV116: poly_real,SV82: real,SV200: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV200 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV200 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV200 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV174 )
= $false )
| ( ( ord_less_eq_real @ SV174 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1864]) ).
thf(1883,plain,
! [SV175: real,SV116: poly_real,SV82: real,SV201: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV201 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV201 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV201 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV175 )
= $false )
| ( ( ord_less_eq_real @ SV175 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1865]) ).
thf(1884,plain,
! [SV186: real,SV116: poly_real,SV82: real,SV204: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV204 )
| ~ ( ord_less_eq_real @ SV204 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV204 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV186 )
= $false )
| ( ( ord_less_eq_real @ SV186 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1867]) ).
thf(1885,plain,
! [SV187: real,SV116: poly_real,SV82: real,SV205: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV205 )
| ~ ( ord_less_eq_real @ SV205 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV205 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV187 )
= $false )
| ( ( ord_less_eq_real @ SV187 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1868]) ).
thf(1886,plain,
! [SV188: real,SV116: poly_real,SV82: real,SV206: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV206 )
| ~ ( ord_less_eq_real @ SV206 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV206 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV188 )
= $false )
| ( ( ord_less_eq_real @ SV188 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1870]) ).
thf(1887,plain,
! [SV189: real,SV116: poly_real,SV82: real,SV207: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV207 )
| ~ ( ord_less_eq_real @ SV207 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV207 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV189 )
= $false )
| ( ( ord_less_eq_real @ SV189 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1871]) ).
thf(1888,plain,
! [SV180: real,SV128: poly_real,SV100: real,SV202: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV202 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV202 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV202 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV180 )
= $false )
| ( ( ord_less_real @ SV180 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1873]) ).
thf(1889,plain,
! [SV181: real,SV128: poly_real,SV100: real,SV203: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV203 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV203 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV203 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV181 )
= $false )
| ( ( ord_less_real @ SV181 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1874]) ).
thf(1890,plain,
! [SV190: real,SV128: poly_real,SV100: real,SV208: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV208 )
| ~ ( ord_less_real @ SV208 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV208 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV190 )
= $false )
| ( ( ord_less_real @ SV190 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1876]) ).
thf(1891,plain,
! [SV191: real,SV128: poly_real,SV100: real,SV209: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV209 )
| ~ ( ord_less_real @ SV209 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV209 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV191 )
= $false )
| ( ( ord_less_real @ SV191 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1877]) ).
thf(1892,plain,
! [SV192: real,SV128: poly_real,SV100: real,SV210: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV210 )
| ~ ( ord_less_real @ SV210 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV210 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV192 )
= $false )
| ( ( ord_less_real @ SV192 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1879]) ).
thf(1893,plain,
! [SV193: real,SV128: poly_real,SV100: real,SV211: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV211 )
| ~ ( ord_less_real @ SV211 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV211 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV193 )
= $false )
| ( ( ord_less_real @ SV193 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1880]) ).
thf(1894,plain,
! [SV174: real,SV116: poly_real,SV82: real,SV200: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV200 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV200 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV200 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV174 )
= $false )
| ( ( ord_less_eq_real @ SV174 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1882]) ).
thf(1895,plain,
! [SV175: real,SV116: poly_real,SV82: real,SV201: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV201 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV201 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV201 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV175 )
= $false )
| ( ( ord_less_eq_real @ SV175 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1883]) ).
thf(1896,plain,
! [SV186: real,SV116: poly_real,SV82: real,SV204: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV204 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV204 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV204 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV186 )
= $false )
| ( ( ord_less_eq_real @ SV186 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1884]) ).
thf(1897,plain,
! [SV187: real,SV116: poly_real,SV82: real,SV205: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV205 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV205 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV205 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV187 )
= $false )
| ( ( ord_less_eq_real @ SV187 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1885]) ).
thf(1898,plain,
! [SV188: real,SV116: poly_real,SV82: real,SV206: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV206 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV206 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV206 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV188 )
= $false )
| ( ( ord_less_eq_real @ SV188 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1886]) ).
thf(1899,plain,
! [SV189: real,SV116: poly_real,SV82: real,SV207: real,SV33: real] :
( ( ( ~ ( ord_less_real @ SV33 @ SV207 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV207 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV207 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV189 )
= $false )
| ( ( ord_less_eq_real @ SV189 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1887]) ).
thf(1900,plain,
! [SV180: real,SV128: poly_real,SV100: real,SV202: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV202 )
= $false )
| ( ( ~ ( ord_less_real @ SV202 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV202 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV180 )
= $false )
| ( ( ord_less_real @ SV180 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1888]) ).
thf(1901,plain,
! [SV181: real,SV128: poly_real,SV100: real,SV203: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV203 )
= $false )
| ( ( ~ ( ord_less_real @ SV203 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV203 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV181 )
= $false )
| ( ( ord_less_real @ SV181 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1889]) ).
thf(1902,plain,
! [SV190: real,SV128: poly_real,SV100: real,SV208: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV208 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV208 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV208 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV190 )
= $false )
| ( ( ord_less_real @ SV190 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1890]) ).
thf(1903,plain,
! [SV191: real,SV128: poly_real,SV100: real,SV209: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV209 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV209 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV209 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV191 )
= $false )
| ( ( ord_less_real @ SV191 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1891]) ).
thf(1904,plain,
! [SV192: real,SV128: poly_real,SV100: real,SV210: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV210 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV210 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV210 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV192 )
= $false )
| ( ( ord_less_real @ SV192 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1892]) ).
thf(1905,plain,
! [SV193: real,SV128: poly_real,SV100: real,SV211: real,SV51: real] :
( ( ( ~ ( ord_less_eq_real @ SV51 @ SV211 ) )
= $true )
| ( ( ~ ( ord_less_real @ SV211 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV211 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV193 )
= $false )
| ( ( ord_less_real @ SV193 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1893]) ).
thf(1906,plain,
! [SV174: real,SV116: poly_real,SV33: real,SV82: real,SV200: real] :
( ( ( ord_less_eq_real @ SV200 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV200 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV200 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV174 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV174 )
= $false )
| ( ( ord_less_eq_real @ SV174 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1894]) ).
thf(1907,plain,
! [SV175: real,SV116: poly_real,SV33: real,SV82: real,SV201: real] :
( ( ( ord_less_eq_real @ SV201 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV201 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV201 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV175 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV175 )
= $false )
| ( ( ord_less_eq_real @ SV175 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK14_SY427 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1895]) ).
thf(1908,plain,
! [SV186: real,SV116: poly_real,SV82: real,SV204: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV204 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV204 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV204 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV186 )
= $false )
| ( ( ord_less_eq_real @ SV186 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1896]) ).
thf(1909,plain,
! [SV187: real,SV116: poly_real,SV82: real,SV205: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV205 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV205 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV205 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV187 )
= $false )
| ( ( ord_less_eq_real @ SV187 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1897]) ).
thf(1910,plain,
! [SV188: real,SV116: poly_real,SV82: real,SV206: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV206 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV206 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV206 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV188 )
= $false )
| ( ( ord_less_eq_real @ SV188 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1898]) ).
thf(1911,plain,
! [SV189: real,SV116: poly_real,SV82: real,SV207: real,SV33: real] :
( ( ( ord_less_real @ SV33 @ SV207 )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV207 @ SV82 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV207 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV189 )
= $false )
| ( ( ord_less_eq_real @ SV189 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1899]) ).
thf(1912,plain,
! [SV180: real,SV128: poly_real,SV51: real,SV100: real,SV202: real] :
( ( ( ord_less_real @ SV202 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV202 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV202 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV180 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV180 )
= $false )
| ( ( ord_less_real @ SV180 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1900]) ).
thf(1913,plain,
! [SV181: real,SV128: poly_real,SV51: real,SV100: real,SV203: real] :
( ( ( ord_less_real @ SV203 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV203 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV203 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV181 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV181 )
= $false )
| ( ( ord_less_real @ SV181 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK15_SY444 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1901]) ).
thf(1914,plain,
! [SV190: real,SV128: poly_real,SV100: real,SV208: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV208 )
= $false )
| ( ( ~ ( ord_less_real @ SV208 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV208 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV190 )
= $false )
| ( ( ord_less_real @ SV190 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1902]) ).
thf(1915,plain,
! [SV191: real,SV128: poly_real,SV100: real,SV209: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV209 )
= $false )
| ( ( ~ ( ord_less_real @ SV209 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV209 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV191 )
= $false )
| ( ( ord_less_real @ SV191 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1903]) ).
thf(1916,plain,
! [SV192: real,SV128: poly_real,SV100: real,SV210: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV210 )
= $false )
| ( ( ~ ( ord_less_real @ SV210 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV210 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV192 )
= $false )
| ( ( ord_less_real @ SV192 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1904]) ).
thf(1917,plain,
! [SV193: real,SV128: poly_real,SV100: real,SV211: real,SV51: real] :
( ( ( ord_less_eq_real @ SV51 @ SV211 )
= $false )
| ( ( ~ ( ord_less_real @ SV211 @ SV100 ) )
= $true )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV211 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV193 )
= $false )
| ( ( ord_less_real @ SV193 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1905]) ).
thf(1918,plain,
! [SV186: real,SV116: poly_real,SV33: real,SV82: real,SV204: real] :
( ( ( ord_less_eq_real @ SV204 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV204 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV204 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV186 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV186 )
= $false )
| ( ( ord_less_eq_real @ SV186 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1908]) ).
thf(1919,plain,
! [SV187: real,SV116: poly_real,SV33: real,SV82: real,SV205: real] :
( ( ( ord_less_eq_real @ SV205 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV205 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV205 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV187 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV187 )
= $false )
| ( ( ord_less_eq_real @ SV187 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK16_SY428 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1909]) ).
thf(1920,plain,
! [SV188: real,SV116: poly_real,SV33: real,SV82: real,SV206: real] :
( ( ( ord_less_eq_real @ SV206 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV206 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV206 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV188 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV188 )
= $false )
| ( ( ord_less_eq_real @ SV188 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1910]) ).
thf(1921,plain,
! [SV189: real,SV116: poly_real,SV33: real,SV82: real,SV207: real] :
( ( ( ord_less_eq_real @ SV207 @ SV82 )
= $false )
| ( ( ord_less_real @ SV33 @ SV207 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV116 @ SV207 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV116 @ SV189 ) )
= $true )
| ( ( ord_less_real @ SV33 @ SV189 )
= $false )
| ( ( ord_less_eq_real @ SV189 @ SV82 )
= $false )
| ( ( ord_less_eq_real @ ( sK17_SY429 @ SV116 @ SV82 @ SV33 ) @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1911]) ).
thf(1922,plain,
! [SV190: real,SV128: poly_real,SV51: real,SV100: real,SV208: real] :
( ( ( ord_less_real @ SV208 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV208 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV208 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV190 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV190 )
= $false )
| ( ( ord_less_real @ SV190 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1914]) ).
thf(1923,plain,
! [SV191: real,SV128: poly_real,SV51: real,SV100: real,SV209: real] :
( ( ( ord_less_real @ SV209 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV209 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV209 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV191 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV191 )
= $false )
| ( ( ord_less_real @ SV191 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK18_SY445 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1915]) ).
thf(1924,plain,
! [SV192: real,SV128: poly_real,SV51: real,SV100: real,SV210: real] :
( ( ( ord_less_real @ SV210 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV210 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV210 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV192 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV192 )
= $false )
| ( ( ord_less_real @ SV192 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1916]) ).
thf(1925,plain,
! [SV193: real,SV128: poly_real,SV51: real,SV100: real,SV211: real] :
( ( ( ord_less_real @ SV211 @ SV100 )
= $false )
| ( ( ord_less_eq_real @ SV51 @ SV211 )
= $false )
| ( ( ord_less_real @ ( poly_real2 @ SV128 @ SV211 ) @ zero_zero_real )
= $true )
| ( ( ord_less_real @ zero_zero_real @ ( poly_real2 @ SV128 @ SV193 ) )
= $true )
| ( ( ord_less_eq_real @ SV51 @ SV193 )
= $false )
| ( ( ord_less_real @ SV193 @ SV100 )
= $false )
| ( ( ord_less_real @ ( sK19_SY446 @ SV128 @ SV100 @ SV51 ) @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1917]) ).
thf(1926,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[425,1925,1924,1923,1922,1921,1920,1919,1918,1913,1912,1907,1906,1881,1878,1875,1872,1869,1866,1836,1824,1822,1819,1817,1813,1811,1808,1806,1803,1801,1785,1783,1781,1779,1765,1763,1747,1743,1709,1690,1684,1678,1668,1662,1656,1630,1629,1590,1549,1547,1546,1545,1544,1523,1501,1475,1474,1453,1451,1426,1406,1403,1401,1397,1382,1381,1378,1360,1359,1354,1353,1351,1349,1335,1334,1331,1330,1329,1328,1327,1324,1323,1322,1305,1303,1299,1297,1278,1276,1273,1271,1269,1267,1265,1261,1259,1258,1257,1256,1218,1207,1205,1204,1203,1202,1171,1170,1169,1168,1167,1166,1155,1154,1153,1152,1151,1150,1149,1143,1142,1141,1139,1122,1121,1086,1085,1079,1077,1073,1063,1052,1024,1017,1012,1011,1008,1001,995,980,959,958,957,956,955,949,944,938,936,935,934,932,931,922,918,892,840,839,835,832,819,810,804,803,801,796,793,790,781,776,754,741,731,716,696,689,670,668,666,664,654,648,610,608,607,602,600,582,570,561,539,535,533,429]) ).
thf(1927,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1926]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP195^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Oct 6 11:19:01 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.87/1.69 ..
% 8.87/1.69
% 8.87/1.69 No.of.Axioms: 65
% 8.87/1.69
% 8.87/1.69 Length.of.Defs: 0
% 8.87/1.69
% 8.87/1.69 Contains.Choice.Funs: false
% 8.87/1.69 ............................................
% 8.87/1.69
% 8.87/1.69 ********************************
% 8.87/1.69 * All subproblems solved! *
% 8.87/1.69 ********************************
% 8.87/1.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:65,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:1926,loop_count:0,foatp_calls:1,translation:fof_full)
% 8.87/1.69
% 8.87/1.69 %**** Beginning of derivation protocol ****
% 8.87/1.69 % SZS output start CNFRefutation
% See solution above
% 1.62/1.70
% 1.62/1.70 %**** End of derivation protocol ****
% 1.62/1.70 %**** no. of clauses in derivation: 1647 ****
% 1.62/1.70 %**** clause counter: 1926 ****
% 1.62/1.70
% 1.62/1.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:65,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:1926,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------