%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP114^1 : 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 : n018.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 10:24:10 AM UTC 2026
% Result : Theorem 7.96s 1.51s
% Output : CNFRefutation 7.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 66
% Syntax : Number of formulae : 1480 ( 440 unt; 0 typ; 0 def)
% Number of atoms : 15395 (4826 equ; 0 cnn)
% Maximal formula atoms : 12 ( 10 avg)
% Number of connectives : 25710 (3627 ~;4928 |; 18 &;16651 @)
% ( 0 <=>; 486 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 804 ( 804 >; 0 *; 0 +; 0 <<)
% Number of symbols : 135 ( 132 usr; 10 con; 0-4 aty)
% Number of variables : 5323 ( 96 ^;5221 !; 6 ?;5323 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_extended_enat,type,
extended_enat: $tType ).
thf(tp_extended_ereal,type,
extended_ereal: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_num,type,
num: $tType ).
thf(tp_real,type,
real: $tType ).
thf(tp_set_Extended_ereal,type,
set_Extended_ereal: $tType ).
thf(tp_abs_ab1260901297_ereal,type,
abs_ab1260901297_ereal: extended_ereal > extended_ereal ).
thf(tp_divide595620860_ereal,type,
divide595620860_ereal: extended_ereal > extended_ereal > extended_ereal ).
thf(tp_extend1289208545_ereal,type,
extend1289208545_ereal: extended_ereal ).
thf(tp_extend1716541707_ereal,type,
extend1716541707_ereal: extended_ereal > real ).
thf(tp_extend1771934483f_enat,type,
extend1771934483f_enat: extended_enat > extended_ereal ).
thf(tp_extended_MInfty,type,
extended_MInfty: extended_ereal ).
thf(tp_extended_PInfty,type,
extended_PInfty: extended_ereal ).
thf(tp_extended_enat2,type,
extended_enat2: nat > extended_enat ).
thf(tp_extended_ereal2,type,
extended_ereal2: real > extended_ereal ).
thf(tp_extended_size_ereal,type,
extended_size_ereal: extended_ereal > nat ).
thf(tp_extended_the_enat,type,
extended_the_enat: extended_enat > nat ).
thf(tp_f,type,
f: a > extended_ereal ).
thf(tp_g,type,
g: a > extended_ereal ).
thf(tp_lower_1616484581_ereal,type,
lower_1616484581_ereal: ( a > extended_ereal ) > $o ).
thf(tp_lower_881475195hull_a,type,
lower_881475195hull_a: ( a > extended_ereal ) > a > extended_ereal ).
thf(tp_member1900190071_ereal,type,
member1900190071_ereal: extended_ereal > set_Extended_ereal > $o ).
thf(tp_numera1793320307_ereal,type,
numera1793320307_ereal: num > extended_ereal ).
thf(tp_numera280919179d_enat,type,
numera280919179d_enat: num > extended_enat ).
thf(tp_numeral_numeral_nat,type,
numeral_numeral_nat: num > nat ).
thf(tp_numeral_numeral_real,type,
numeral_numeral_real: num > real ).
thf(tp_ord_le1863327750d_enat,type,
ord_le1863327750d_enat: extended_enat > extended_enat > $o ).
thf(tp_ord_le291126163d_enat,type,
ord_le291126163d_enat: ( $o > extended_enat ) > ( $o > extended_enat ) > $o ).
thf(tp_ord_le637473275_ereal,type,
ord_le637473275_ereal: ( $o > extended_ereal ) > ( $o > extended_ereal ) > $o ).
thf(tp_ord_le824540014_ereal,type,
ord_le824540014_ereal: extended_ereal > extended_ereal > $o ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_ord_less_eq_num,type,
ord_less_eq_num: num > num > $o ).
thf(tp_ord_less_eq_o_nat,type,
ord_less_eq_o_nat: ( $o > nat ) > ( $o > nat ) > $o ).
thf(tp_ord_less_eq_o_real,type,
ord_less_eq_o_real: ( $o > real ) > ( $o > real ) > $o ).
thf(tp_ord_less_eq_real,type,
ord_less_eq_real: real > real > $o ).
thf(tp_order_106095024t_real,type,
order_106095024t_real: ( nat > real ) > $o ).
thf(tp_order_1147259034_ereal,type,
order_1147259034_ereal: ( extended_enat > extended_ereal ) > $o ).
thf(tp_order_1158471719_ereal,type,
order_1158471719_ereal: ( extended_ereal > $o ) > extended_ereal ).
thf(tp_order_1180956065_ereal,type,
order_1180956065_ereal: ( extended_enat > extended_ereal ) > $o ).
thf(tp_order_135436057t_real,type,
order_135436057t_real: ( extended_enat > real ) > $o ).
thf(tp_order_1408494002_ereal,type,
order_1408494002_ereal: ( extended_ereal > extended_ereal ) > $o ).
thf(tp_order_1560271745l_real,type,
order_1560271745l_real: ( extended_ereal > real ) > $o ).
thf(tp_order_1622825661at_nat,type,
order_1622825661at_nat: ( extended_enat > nat ) > $o ).
thf(tp_order_1628344639d_enat,type,
order_1628344639d_enat: ( extended_enat > $o ) > extended_enat ).
thf(tp_order_1631207636at_nat,type,
order_1631207636at_nat: ( nat > nat ) > $o ).
thf(tp_order_1660553314d_enat,type,
order_1660553314d_enat: ( nat > extended_enat ) > $o ).
thf(tp_order_1800387528l_real,type,
order_1800387528l_real: ( extended_ereal > real ) > $o ).
thf(tp_order_182315744t_real,type,
order_182315744t_real: ( extended_enat > real ) > $o ).
thf(tp_order_1962034751d_enat,type,
order_1962034751d_enat: ( real > extended_enat ) > $o ).
thf(tp_order_2047034162d_enat,type,
order_2047034162d_enat: ( extended_enat > extended_enat ) > $o ).
thf(tp_order_2106278841d_enat,type,
order_2106278841d_enat: ( extended_enat > extended_enat ) > $o ).
thf(tp_order_442688004at_nat,type,
order_442688004at_nat: ( extended_enat > nat ) > $o ).
thf(tp_order_476926757al_nat,type,
order_476926757al_nat: ( extended_ereal > nat ) > $o ).
thf(tp_order_523806444al_nat,type,
order_523806444al_nat: ( extended_ereal > nat ) > $o ).
thf(tp_order_555877177_ereal,type,
order_555877177_ereal: ( extended_ereal > extended_ereal ) > $o ).
thf(tp_order_680161354d_enat,type,
order_680161354d_enat: ( extended_ereal > extended_enat ) > $o ).
thf(tp_order_689807875_ereal,type,
order_689807875_ereal: ( nat > extended_ereal ) > $o ).
thf(tp_order_693207323d_enat,type,
order_693207323d_enat: ( nat > extended_enat ) > $o ).
thf(tp_order_713858385d_enat,type,
order_713858385d_enat: ( extended_ereal > extended_enat ) > $o ).
thf(tp_order_736687562_ereal,type,
order_736687562_ereal: ( nat > extended_ereal ) > $o ).
thf(tp_order_769474267at_nat,type,
order_769474267at_nat: ( nat > nat ) > $o ).
thf(tp_order_946214183_ereal,type,
order_946214183_ereal: ( real > extended_ereal ) > $o ).
thf(tp_order_Greatest_nat,type,
order_Greatest_nat: ( nat > $o ) > nat ).
thf(tp_order_Greatest_real,type,
order_Greatest_real: ( real > $o ) > real ).
thf(tp_sK10_SY453,type,
sK10_SY453: ( extended_ereal > $o ) > extended_ereal > ( extended_ereal > $o ) > extended_ereal ).
thf(tp_sK11_SY702,type,
sK11_SY702: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(tp_sK12_SY265,type,
sK12_SY265: extended_ereal > extended_ereal > ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(tp_sK13_SY450,type,
sK13_SY450: extended_ereal > extended_ereal > real > ( extended_ereal > real ) > extended_ereal ).
thf(tp_sK14_SY578,type,
sK14_SY578: extended_ereal > extended_ereal > extended_ereal > ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(tp_sK15_SY581,type,
sK15_SY581: nat > extended_ereal > nat > ( nat > extended_ereal ) > nat ).
thf(tp_sK16_SY469,type,
sK16_SY469: extended_enat > extended_enat > extended_ereal > ( extended_enat > extended_ereal ) > extended_enat ).
thf(tp_sK17_SY587,type,
sK17_SY587: extended_enat > extended_ereal > extended_enat > ( extended_enat > extended_ereal ) > extended_enat ).
thf(tp_sK18_SY703,type,
sK18_SY703: extended_ereal > set_Extended_ereal > extended_ereal ).
thf(tp_sK19_SY478,type,
sK19_SY478: extended_ereal > extended_ereal > extended_enat > ( extended_ereal > extended_enat ) > extended_ereal ).
thf(tp_sK1_SY305,type,
sK1_SY305: set_Extended_ereal > extended_ereal ).
thf(tp_sK20_SY596,type,
sK20_SY596: extended_ereal > real > extended_ereal > ( extended_ereal > real ) > extended_ereal ).
thf(tp_sK21_SY599,type,
sK21_SY599: extended_ereal > real > extended_ereal > ( extended_ereal > real ) > extended_ereal ).
thf(tp_sK22_SY493,type,
sK22_SY493: extended_ereal > extended_ereal > nat > ( extended_ereal > nat ) > extended_ereal ).
thf(tp_sK23_SY497,type,
sK23_SY497: extended_ereal > extended_ereal > extended_ereal > ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(tp_sK24_SY501,type,
sK24_SY501: nat > nat > extended_ereal > ( nat > extended_ereal ) > nat ).
thf(tp_sK25_SY506,type,
sK25_SY506: nat > nat > extended_ereal > ( nat > extended_ereal ) > nat ).
thf(tp_sK26_SY614,type,
sK26_SY614: extended_ereal > nat > extended_ereal > ( extended_ereal > nat ) > extended_ereal ).
thf(tp_sK27_SY617,type,
sK27_SY617: extended_ereal > extended_enat > extended_ereal > ( extended_ereal > extended_enat ) > extended_ereal ).
thf(tp_sK28_SY527,type,
sK28_SY527: extended_ereal > extended_ereal > nat > ( extended_ereal > nat ) > extended_ereal ).
thf(tp_sK29_SY623,type,
sK29_SY623: extended_ereal > extended_ereal > extended_ereal > ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(tp_sK2_SY424,type,
sK2_SY424: set_Extended_ereal > extended_ereal ).
thf(tp_sK30_SY626,type,
sK30_SY626: extended_ereal > nat > extended_ereal > ( extended_ereal > nat ) > extended_ereal ).
thf(tp_sK31_SY540,type,
sK31_SY540: extended_ereal > extended_ereal > extended_enat > ( extended_ereal > extended_enat ) > extended_ereal ).
thf(tp_sK32_SY632,type,
sK32_SY632: extended_ereal > extended_enat > extended_ereal > ( extended_ereal > extended_enat ) > extended_ereal ).
thf(tp_sK33_SY635,type,
sK33_SY635: extended_enat > extended_ereal > extended_enat > ( extended_enat > extended_ereal ) > extended_enat ).
thf(tp_sK34_SY638,type,
sK34_SY638: nat > extended_ereal > nat > ( nat > extended_ereal ) > nat ).
thf(tp_sK35_SY556,type,
sK35_SY556: real > real > extended_ereal > ( real > extended_ereal ) > real ).
thf(tp_sK36_SY704,type,
sK36_SY704: extended_ereal > set_Extended_ereal > extended_ereal ).
thf(tp_sK37_SY560,type,
sK37_SY560: extended_ereal > extended_ereal > extended_ereal > ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(tp_sK38_SY565,type,
sK38_SY565: extended_enat > extended_enat > extended_ereal > ( extended_enat > extended_ereal ) > extended_enat ).
thf(tp_sK39_SY265,type,
sK39_SY265: extended_ereal > extended_ereal > ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(tp_sK3_SY328,type,
sK3_SY328: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(tp_sK40_SY706,type,
sK40_SY706: extended_ereal > extended_ereal > ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(tp_sK41_SY707,type,
sK41_SY707: ( extended_ereal > real ) > real > extended_ereal > extended_ereal > extended_ereal ).
thf(tp_sK42_SY575,type,
sK42_SY575: extended_ereal > ( extended_ereal > $o ) > ( extended_ereal > $o ) > extended_ereal ).
thf(tp_sK43_SY708,type,
sK43_SY708: ( extended_ereal > extended_ereal ) > extended_ereal > extended_ereal > extended_ereal > extended_ereal ).
thf(tp_sK44_SY709,type,
sK44_SY709: ( nat > extended_ereal ) > nat > extended_ereal > nat > nat ).
thf(tp_sK45_SY710,type,
sK45_SY710: ( extended_enat > extended_ereal ) > extended_ereal > extended_enat > extended_enat > extended_enat ).
thf(tp_sK46_SY711,type,
sK46_SY711: ( extended_enat > extended_ereal ) > extended_enat > extended_ereal > extended_enat > extended_enat ).
thf(tp_sK47_SY712,type,
sK47_SY712: ( extended_ereal > extended_enat ) > extended_enat > extended_ereal > extended_ereal > extended_ereal ).
thf(tp_sK48_SY713,type,
sK48_SY713: ( extended_ereal > real ) > extended_ereal > real > extended_ereal > extended_ereal ).
thf(tp_sK49_SY714,type,
sK49_SY714: ( extended_ereal > real ) > extended_ereal > real > extended_ereal > extended_ereal ).
thf(tp_sK4_SY668,type,
sK4_SY668: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(tp_sK50_SY715,type,
sK50_SY715: ( extended_ereal > nat ) > nat > extended_ereal > extended_ereal > extended_ereal ).
thf(tp_sK51_SY716,type,
sK51_SY716: ( extended_ereal > extended_ereal ) > extended_ereal > extended_ereal > extended_ereal > extended_ereal ).
thf(tp_sK52_SY717,type,
sK52_SY717: ( nat > extended_ereal ) > extended_ereal > nat > nat > nat ).
thf(tp_sK53_SY718,type,
sK53_SY718: ( nat > extended_ereal ) > extended_ereal > nat > nat > nat ).
thf(tp_sK54_SY719,type,
sK54_SY719: ( extended_ereal > nat ) > extended_ereal > nat > extended_ereal > extended_ereal ).
thf(tp_sK55_SY720,type,
sK55_SY720: ( extended_ereal > extended_enat ) > extended_ereal > extended_enat > extended_ereal > extended_ereal ).
thf(tp_sK56_SY721,type,
sK56_SY721: ( extended_ereal > nat ) > nat > extended_ereal > extended_ereal > extended_ereal ).
thf(tp_sK57_SY722,type,
sK57_SY722: ( extended_ereal > extended_ereal ) > extended_ereal > extended_ereal > extended_ereal > extended_ereal ).
thf(tp_sK58_SY723,type,
sK58_SY723: ( extended_ereal > nat ) > extended_ereal > nat > extended_ereal > extended_ereal ).
thf(tp_sK59_SY724,type,
sK59_SY724: ( extended_ereal > extended_enat ) > extended_enat > extended_ereal > extended_ereal > extended_ereal ).
thf(tp_sK5_SY518,type,
sK5_SY518: extended_ereal > extended_ereal > real ).
thf(tp_sK60_SY725,type,
sK60_SY725: ( extended_ereal > extended_enat ) > extended_ereal > extended_enat > extended_ereal > extended_ereal ).
thf(tp_sK61_SY726,type,
sK61_SY726: ( extended_enat > extended_ereal ) > extended_enat > extended_ereal > extended_enat > extended_enat ).
thf(tp_sK62_SY727,type,
sK62_SY727: ( nat > extended_ereal ) > nat > extended_ereal > nat > nat ).
thf(tp_sK63_SY728,type,
sK63_SY728: ( real > extended_ereal ) > extended_ereal > real > real > real ).
thf(tp_sK64_SY729,type,
sK64_SY729: ( extended_ereal > extended_ereal ) > extended_ereal > extended_ereal > extended_ereal > extended_ereal ).
thf(tp_sK65_SY730,type,
sK65_SY730: ( extended_enat > extended_ereal ) > extended_ereal > extended_enat > extended_enat > extended_enat ).
thf(tp_sK66_SY731,type,
sK66_SY731: extended_ereal > extended_ereal > ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(tp_sK67_SY575,type,
sK67_SY575: extended_ereal > ( extended_ereal > $o ) > ( extended_ereal > $o ) > extended_ereal ).
thf(tp_sK6_SY263,type,
sK6_SY263: extended_ereal > extended_ereal > ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(tp_sK7_SY701,type,
sK7_SY701: ( extended_ereal > extended_ereal > $o ) > extended_ereal > extended_ereal > extended_ereal ).
thf(tp_sK8_SY461,type,
sK8_SY461: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(tp_sK9_SY520,type,
sK9_SY520: extended_ereal > ( extended_ereal > $o ) > extended_ereal ).
thf(tp_uminus1208298309_ereal,type,
uminus1208298309_ereal: extended_ereal > extended_ereal ).
thf(tp_uminus_uminus_real,type,
uminus_uminus_real: real > real ).
thf(tp_x,type,
x: a ).
thf(tp_zero_z163181189_ereal,type,
zero_z163181189_ereal: extended_ereal ).
thf(tp_zero_z491942557d_enat,type,
zero_z491942557d_enat: extended_enat ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(tp_zero_zero_real,type,
zero_zero_real: real ).
thf(57,axiom,
! [X2: extended_ereal,Y3: extended_ereal] :
( ! [Z4: real] :
( ( ord_le824540014_ereal @ X2 @ ( extended_ereal2 @ Z4 ) )
=> ( ord_le824540014_ereal @ Y3 @ ( extended_ereal2 @ Z4 ) ) )
=> ( ord_le824540014_ereal @ Y3 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_ereal__le__real) ).
thf(96,axiom,
! [A: extended_ereal,B: extended_ereal] :
( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ A ) @ B )
= ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_255_ereal__uminus__le__reorder) ).
thf(111,axiom,
! [A: extended_ereal,B: extended_ereal] :
( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ A ) @ ( uminus1208298309_ereal @ B ) )
= ( ord_le824540014_ereal @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_240_ereal__minus__le__minus) ).
thf(133,axiom,
! [X2: extended_ereal] : ( ord_le824540014_ereal @ X2 @ extend1289208545_ereal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_ereal__less__eq_I1_J) ).
thf(134,axiom,
! [A: extended_ereal,B: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( A = extend1289208545_ereal )
=> ( B = extend1289208545_ereal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_217_ereal__infty__less__eq2_I1_J) ).
thf(135,axiom,
! [Y3: extended_ereal,X2: extended_ereal] :
( ( Y3 != extend1289208545_ereal )
=> ( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( X2 != extend1289208545_ereal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_neq__PInf__trans) ).
thf(145,axiom,
! [R: extended_ereal > extended_ereal,M: extended_ereal,N: extended_ereal] :
( ( order_555877177_ereal @ R )
=> ( ( ord_le824540014_ereal @ M @ N )
=> ( ord_le824540014_ereal @ ( R @ M ) @ ( R @ N ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_strict__mono__leD) ).
thf(158,axiom,
! [F: extended_ereal > extended_ereal,X2: extended_ereal,Y3: extended_ereal] :
( ( order_555877177_ereal @ F )
=> ( ( ord_le824540014_ereal @ ( F @ X2 ) @ ( F @ Y3 ) )
= ( ord_le824540014_ereal @ X2 @ Y3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_strict__mono__less__eq) ).
thf(159,axiom,
! [X2: extended_ereal] :
( ( ord_le824540014_ereal @ extend1289208545_ereal @ X2 )
= ( X2 = extend1289208545_ereal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_192_ereal__infty__less__eq_I1_J) ).
thf(180,axiom,
! [F: extended_ereal > extended_ereal,X2: extended_ereal,Y3: extended_ereal] :
( ( order_1408494002_ereal @ F )
=> ( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ord_le824540014_ereal @ ( F @ Y3 ) @ ( F @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_171_antimonoD) ).
thf(190,axiom,
! [F: extended_ereal > extended_ereal,X2: extended_ereal,Y3: extended_ereal] :
( ( order_1408494002_ereal @ F )
=> ( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ord_le824540014_ereal @ ( F @ Y3 ) @ ( F @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_antimonoE) ).
thf(200,axiom,
! [F: extended_ereal > extended_ereal] :
( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ Y ) @ ( F @ X3 ) ) )
=> ( order_1408494002_ereal @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_antimonoI) ).
thf(210,axiom,
( order_1408494002_ereal
= ( ^ [F2: extended_ereal > extended_ereal] :
! [X4: extended_ereal,Y4: extended_ereal] :
( ( ord_le824540014_ereal @ X4 @ Y4 )
=> ( ord_le824540014_ereal @ ( F2 @ Y4 ) @ ( F2 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_antimono__def) ).
thf(216,axiom,
( ord_le637473275_ereal
= ( ^ [X5: $o > extended_ereal,Y6: $o > extended_ereal] :
( ( ord_le824540014_ereal @ ( X5 @ $false ) @ ( Y6 @ $false ) )
& ( ord_le824540014_ereal @ ( X5 @ $true ) @ ( Y6 @ $true ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_135_le__rel__bool__arg__iff) ).
thf(220,axiom,
! [P: extended_ereal > $o,X2: extended_ereal,Q: extended_ereal > $o] :
( ( P @ X2 )
=> ( ! [Y: extended_ereal] :
( ( P @ Y )
=> ( ord_le824540014_ereal @ Y @ X2 ) )
=> ( ! [X3: extended_ereal] :
( ( P @ X3 )
=> ( ! [Y5: extended_ereal] :
( ( P @ Y5 )
=> ( ord_le824540014_ereal @ Y5 @ X3 ) )
=> ( Q @ X3 ) ) )
=> ( Q @ ( order_1158471719_ereal @ P ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_GreatestI2__order) ).
thf(224,axiom,
! [P: extended_ereal > $o,X2: extended_ereal] :
( ( P @ X2 )
=> ( ! [Y: extended_ereal] :
( ( P @ Y )
=> ( ord_le824540014_ereal @ Y @ X2 ) )
=> ( ( order_1158471719_ereal @ P )
= X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_127_Greatest__equality) ).
thf(230,axiom,
( ( ^ [Y2: extended_ereal,Z2: extended_ereal] : ( Y2 = Z2 ) )
= ( ^ [X4: extended_ereal,Y4: extended_ereal] :
( ( ord_le824540014_ereal @ X4 @ Y4 )
& ( ord_le824540014_ereal @ Y4 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_121_eq__iff) ).
thf(234,axiom,
! [X2: extended_ereal,Y3: extended_ereal] :
( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ( ord_le824540014_ereal @ Y3 @ X2 )
=> ( X2 = Y3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_antisym) ).
thf(238,axiom,
! [X2: extended_ereal,Y3: extended_ereal] :
( ( ord_le824540014_ereal @ X2 @ Y3 )
| ( ord_le824540014_ereal @ Y3 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_linear) ).
thf(242,axiom,
! [X2: extended_ereal,Y3: extended_ereal] :
( ( X2 = Y3 )
=> ( ord_le824540014_ereal @ X2 @ Y3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_eq__refl) ).
thf(246,axiom,
! [X2: extended_ereal,Y3: extended_ereal] :
( ~ ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ord_le824540014_ereal @ Y3 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_le__cases) ).
thf(250,axiom,
! [A: extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ord_le824540014_ereal @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_order_Otrans) ).
thf(254,axiom,
! [X2: extended_ereal,Y3: extended_ereal,Z3: extended_ereal] :
( ( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ~ ( ord_le824540014_ereal @ Y3 @ Z3 ) )
=> ( ( ( ord_le824540014_ereal @ Y3 @ X2 )
=> ~ ( ord_le824540014_ereal @ X2 @ Z3 ) )
=> ( ( ( ord_le824540014_ereal @ X2 @ Z3 )
=> ~ ( ord_le824540014_ereal @ Z3 @ Y3 ) )
=> ( ( ( ord_le824540014_ereal @ Z3 @ Y3 )
=> ~ ( ord_le824540014_ereal @ Y3 @ X2 ) )
=> ( ( ( ord_le824540014_ereal @ Y3 @ Z3 )
=> ~ ( ord_le824540014_ereal @ Z3 @ X2 ) )
=> ~ ( ( ord_le824540014_ereal @ Z3 @ X2 )
=> ~ ( ord_le824540014_ereal @ X2 @ Y3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_le__cases3) ).
thf(258,axiom,
! [Y3: extended_ereal,X2: extended_ereal] :
( ( ord_le824540014_ereal @ Y3 @ X2 )
=> ( ( ord_le824540014_ereal @ X2 @ Y3 )
= ( X2 = Y3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_antisym__conv) ).
thf(262,axiom,
( ( ^ [Y2: extended_ereal,Z2: extended_ereal] : ( Y2 = Z2 ) )
= ( ^ [A2: extended_ereal,B2: extended_ereal] :
( ( ord_le824540014_ereal @ A2 @ B2 )
& ( ord_le824540014_ereal @ B2 @ A2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_order__class_Oorder_Oeq__iff) ).
thf(266,axiom,
! [A: extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( A = B )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ord_le824540014_ereal @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_ord__eq__le__trans) ).
thf(270,axiom,
! [A: extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( B = C )
=> ( ord_le824540014_ereal @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_ord__le__eq__trans) ).
thf(274,axiom,
! [A: extended_ereal,B: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_le824540014_ereal @ B @ A )
=> ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_order__class_Oorder_Oantisym) ).
thf(278,axiom,
! [X2: extended_ereal,Y3: extended_ereal,Z3: extended_ereal] :
( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ( ord_le824540014_ereal @ Y3 @ Z3 )
=> ( ord_le824540014_ereal @ X2 @ Z3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_order__trans) ).
thf(282,axiom,
! [A: extended_ereal] : ( ord_le824540014_ereal @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_dual__order_Orefl) ).
thf(286,axiom,
! [P: extended_ereal > extended_ereal > $o,A: extended_ereal,B: extended_ereal] :
( ! [A3: extended_ereal,B3: extended_ereal] :
( ( ord_le824540014_ereal @ A3 @ B3 )
=> ( P @ A3 @ B3 ) )
=> ( ! [A3: extended_ereal,B3: extended_ereal] :
( ( P @ B3 @ A3 )
=> ( P @ A3 @ B3 ) )
=> ( P @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_linorder__wlog) ).
thf(290,axiom,
! [B: extended_ereal,A: extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ B @ A )
=> ( ( ord_le824540014_ereal @ C @ B )
=> ( ord_le824540014_ereal @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_dual__order_Otrans) ).
thf(294,axiom,
( ( ^ [Y2: extended_ereal,Z2: extended_ereal] : ( Y2 = Z2 ) )
= ( ^ [A2: extended_ereal,B2: extended_ereal] :
( ( ord_le824540014_ereal @ B2 @ A2 )
& ( ord_le824540014_ereal @ A2 @ B2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_dual__order_Oeq__iff) ).
thf(298,axiom,
! [B: extended_ereal,A: extended_ereal] :
( ( ord_le824540014_ereal @ B @ A )
=> ( ( ord_le824540014_ereal @ A @ B )
=> ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_dual__order_Oantisym) ).
thf(299,axiom,
! [F: a > extended_ereal,X2: a] : ( ord_le824540014_ereal @ ( lower_881475195hull_a @ F @ X2 ) @ ( F @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_lsc__hull__le) ).
thf(301,axiom,
! [A: nat,B: nat,F: nat > extended_ereal,C: extended_ereal] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: nat,Y: nat] :
( ( ord_less_eq_nat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_ord__le__eq__subst) ).
thf(305,axiom,
! [A: extended_enat,B: extended_enat,F: extended_enat > extended_ereal,C: extended_ereal] :
( ( ord_le1863327750d_enat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_enat,Y: extended_enat] :
( ( ord_le1863327750d_enat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_ord__le__eq__subst) ).
thf(306,axiom,
! [A: extended_ereal,B: extended_ereal,F: extended_ereal > real,C: real] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_real @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_ord__le__eq__subst) ).
thf(307,axiom,
! [A: extended_ereal,B: extended_ereal,F: extended_ereal > nat,C: nat] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_nat @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_ord__le__eq__subst) ).
thf(308,axiom,
! [A: extended_ereal,B: extended_ereal,F: extended_ereal > extended_enat,C: extended_enat] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le1863327750d_enat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le1863327750d_enat @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_ord__le__eq__subst) ).
thf(309,axiom,
! [A: extended_ereal,B: extended_ereal,F: extended_ereal > extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_ord__le__eq__subst) ).
thf(311,axiom,
! [A: extended_ereal,F: nat > extended_ereal,B: nat,C: nat] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X3: nat,Y: nat] :
( ( ord_less_eq_nat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_ord__eq__le__subst) ).
thf(315,axiom,
! [A: extended_ereal,F: extended_enat > extended_ereal,B: extended_enat,C: extended_enat] :
( ( A
= ( F @ B ) )
=> ( ( ord_le1863327750d_enat @ B @ C )
=> ( ! [X3: extended_enat,Y: extended_enat] :
( ( ord_le1863327750d_enat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_ord__eq__le__subst) ).
thf(316,axiom,
! [A: real,F: extended_ereal > real,B: extended_ereal,C: extended_ereal] :
( ( A
= ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_real @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_ord__eq__le__subst) ).
thf(317,axiom,
! [A: nat,F: extended_ereal > nat,B: extended_ereal,C: extended_ereal] :
( ( A
= ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_nat @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_ord__eq__le__subst) ).
thf(318,axiom,
! [A: extended_enat,F: extended_ereal > extended_enat,B: extended_ereal,C: extended_ereal] :
( ( A
= ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le1863327750d_enat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le1863327750d_enat @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_ord__eq__le__subst) ).
thf(319,axiom,
! [A: extended_ereal,F: extended_ereal > extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( A
= ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_ord__eq__le__subst) ).
thf(323,axiom,
! [A: extended_ereal,B: extended_ereal] :
( ( A = B )
| ~ ( ord_le824540014_ereal @ A @ B )
| ~ ( ord_le824540014_ereal @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_verit__la__disequality) ).
thf(325,axiom,
! [A: nat,B: nat,F: nat > extended_ereal,C: extended_ereal] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ord_le824540014_ereal @ ( F @ B ) @ C )
=> ( ! [X3: nat,Y: nat] :
( ( ord_less_eq_nat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_order__subst2) ).
thf(329,axiom,
! [A: extended_enat,B: extended_enat,F: extended_enat > extended_ereal,C: extended_ereal] :
( ( ord_le1863327750d_enat @ A @ B )
=> ( ( ord_le824540014_ereal @ ( F @ B ) @ C )
=> ( ! [X3: extended_enat,Y: extended_enat] :
( ( ord_le1863327750d_enat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_order__subst2) ).
thf(330,axiom,
! [A: extended_ereal,B: extended_ereal,F: extended_ereal > real,C: real] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_less_eq_real @ ( F @ B ) @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_real @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_order__subst2) ).
thf(331,axiom,
! [A: extended_ereal,B: extended_ereal,F: extended_ereal > nat,C: nat] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_less_eq_nat @ ( F @ B ) @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_nat @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_order__subst2) ).
thf(332,axiom,
! [A: extended_ereal,B: extended_ereal,F: extended_ereal > extended_enat,C: extended_enat] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_le1863327750d_enat @ ( F @ B ) @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le1863327750d_enat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le1863327750d_enat @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_order__subst2) ).
thf(333,axiom,
! [A: extended_ereal,B: extended_ereal,F: extended_ereal > extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_le824540014_ereal @ ( F @ B ) @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_order__subst2) ).
thf(335,axiom,
! [A: nat,F: extended_ereal > nat,B: extended_ereal,C: extended_ereal] :
( ( ord_less_eq_nat @ A @ ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_nat @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_order__subst1) ).
thf(339,axiom,
! [A: extended_enat,F: extended_ereal > extended_enat,B: extended_ereal,C: extended_ereal] :
( ( ord_le1863327750d_enat @ A @ ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le1863327750d_enat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le1863327750d_enat @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_order__subst1) ).
thf(340,axiom,
! [A: extended_ereal,F: real > extended_ereal,B: real,C: real] :
( ( ord_le824540014_ereal @ A @ ( F @ B ) )
=> ( ( ord_less_eq_real @ B @ C )
=> ( ! [X3: real,Y: real] :
( ( ord_less_eq_real @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_order__subst1) ).
thf(341,axiom,
! [A: extended_ereal,F: nat > extended_ereal,B: nat,C: nat] :
( ( ord_le824540014_ereal @ A @ ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X3: nat,Y: nat] :
( ( ord_less_eq_nat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_order__subst1) ).
thf(342,axiom,
! [A: extended_ereal,F: extended_enat > extended_ereal,B: extended_enat,C: extended_enat] :
( ( ord_le824540014_ereal @ A @ ( F @ B ) )
=> ( ( ord_le1863327750d_enat @ B @ C )
=> ( ! [X3: extended_enat,Y: extended_enat] :
( ( ord_le1863327750d_enat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_order__subst1) ).
thf(343,axiom,
! [A: extended_ereal,F: extended_ereal > extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_order__subst1) ).
thf(344,axiom,
! [S: set_Extended_ereal] :
? [X3: extended_ereal] :
( ! [Xa: extended_ereal] :
( ( member1900190071_ereal @ Xa @ S )
=> ( ord_le824540014_ereal @ Xa @ X3 ) )
& ! [Z: extended_ereal] :
( ! [Xa2: extended_ereal] :
( ( member1900190071_ereal @ Xa2 @ S )
=> ( ord_le824540014_ereal @ Xa2 @ Z ) )
=> ( ord_le824540014_ereal @ X3 @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_ereal__complete__Sup) ).
thf(345,axiom,
! [S: set_Extended_ereal] :
? [X3: extended_ereal] :
( ! [Xa: extended_ereal] :
( ( member1900190071_ereal @ Xa @ S )
=> ( ord_le824540014_ereal @ X3 @ Xa ) )
& ! [Z: extended_ereal] :
( ! [Xa2: extended_ereal] :
( ( member1900190071_ereal @ Xa2 @ S )
=> ( ord_le824540014_ereal @ Z @ Xa2 ) )
=> ( ord_le824540014_ereal @ Z @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_ereal__complete__Inf) ).
thf(349,axiom,
! [X2: extended_ereal] : ( ord_le824540014_ereal @ X2 @ X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_order__refl) ).
thf(350,axiom,
ord_le824540014_ereal @ ( lower_881475195hull_a @ g @ x ) @ ( g @ x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_calculation) ).
thf(351,axiom,
! [X: a] : ( ord_le824540014_ereal @ ( g @ X ) @ ( f @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms) ).
thf(352,conjecture,
ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(353,negated_conjecture,
( ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) )
= $false ),
inference(negate_conjecture,[status(cth)],[352]) ).
thf(354,plain,
( ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) )
= $false ),
inference(unfold_def,[status(thm)],[353]) ).
thf(355,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal] :
( ! [Z4: real] :
( ( ord_le824540014_ereal @ X2 @ ( extended_ereal2 @ Z4 ) )
=> ( ord_le824540014_ereal @ Y3 @ ( extended_ereal2 @ Z4 ) ) )
=> ( ord_le824540014_ereal @ Y3 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(356,plain,
( ( ! [A: extended_ereal,B: extended_ereal] :
( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ A ) @ B )
= ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ B ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(357,plain,
( ( ! [A: extended_ereal,B: extended_ereal] :
( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ A ) @ ( uminus1208298309_ereal @ B ) )
= ( ord_le824540014_ereal @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(358,plain,
( ( ! [X2: extended_ereal] : ( ord_le824540014_ereal @ X2 @ extend1289208545_ereal ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(359,plain,
( ( ! [A: extended_ereal,B: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( A = extend1289208545_ereal )
=> ( B = extend1289208545_ereal ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(360,plain,
( ( ! [Y3: extended_ereal,X2: extended_ereal] :
( ( Y3 != extend1289208545_ereal )
=> ( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( X2 != extend1289208545_ereal ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(361,plain,
( ( ! [R: extended_ereal > extended_ereal,M: extended_ereal,N: extended_ereal] :
( ( order_555877177_ereal @ R )
=> ( ( ord_le824540014_ereal @ M @ N )
=> ( ord_le824540014_ereal @ ( R @ M ) @ ( R @ N ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(362,plain,
( ( ! [F: extended_ereal > extended_ereal,X2: extended_ereal,Y3: extended_ereal] :
( ( order_555877177_ereal @ F )
=> ( ( ord_le824540014_ereal @ ( F @ X2 ) @ ( F @ Y3 ) )
= ( ord_le824540014_ereal @ X2 @ Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(363,plain,
( ( ! [X2: extended_ereal] :
( ( ord_le824540014_ereal @ extend1289208545_ereal @ X2 )
= ( X2 = extend1289208545_ereal ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(364,plain,
( ( ! [F: extended_ereal > extended_ereal,X2: extended_ereal,Y3: extended_ereal] :
( ( order_1408494002_ereal @ F )
=> ( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ord_le824540014_ereal @ ( F @ Y3 ) @ ( F @ X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(365,plain,
( ( ! [F: extended_ereal > extended_ereal,X2: extended_ereal,Y3: extended_ereal] :
( ( order_1408494002_ereal @ F )
=> ( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ord_le824540014_ereal @ ( F @ Y3 ) @ ( F @ X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(366,plain,
( ( ! [F: extended_ereal > extended_ereal] :
( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ Y ) @ ( F @ X3 ) ) )
=> ( order_1408494002_ereal @ F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(367,plain,
( ( order_1408494002_ereal
= ( ^ [F2: extended_ereal > extended_ereal] :
! [X4: extended_ereal,Y4: extended_ereal] :
( ( ord_le824540014_ereal @ X4 @ Y4 )
=> ( ord_le824540014_ereal @ ( F2 @ Y4 ) @ ( F2 @ X4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(368,plain,
( ( ord_le637473275_ereal
= ( ^ [X5: $o > extended_ereal,Y6: $o > extended_ereal] :
( ( ord_le824540014_ereal @ ( X5 @ $false ) @ ( Y6 @ $false ) )
& ( ord_le824540014_ereal @ ( X5 @ $true ) @ ( Y6 @ $true ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[216]) ).
thf(369,plain,
( ( ! [P: extended_ereal > $o,X2: extended_ereal,Q: extended_ereal > $o] :
( ( P @ X2 )
=> ( ! [Y: extended_ereal] :
( ( P @ Y )
=> ( ord_le824540014_ereal @ Y @ X2 ) )
=> ( ! [X3: extended_ereal] :
( ( P @ X3 )
=> ( ! [Y5: extended_ereal] :
( ( P @ Y5 )
=> ( ord_le824540014_ereal @ Y5 @ X3 ) )
=> ( Q @ X3 ) ) )
=> ( Q @ ( order_1158471719_ereal @ P ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[220]) ).
thf(370,plain,
( ( ! [P: extended_ereal > $o,X2: extended_ereal] :
( ( P @ X2 )
=> ( ! [Y: extended_ereal] :
( ( P @ Y )
=> ( ord_le824540014_ereal @ Y @ X2 ) )
=> ( ( order_1158471719_ereal @ P )
= X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(371,plain,
( ( ( ^ [Y2: extended_ereal,Z2: extended_ereal] : ( Y2 = Z2 ) )
= ( ^ [X4: extended_ereal,Y4: extended_ereal] :
( ( ord_le824540014_ereal @ X4 @ Y4 )
& ( ord_le824540014_ereal @ Y4 @ X4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(372,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal] :
( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ( ord_le824540014_ereal @ Y3 @ X2 )
=> ( X2 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(373,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal] :
( ( ord_le824540014_ereal @ X2 @ Y3 )
| ( ord_le824540014_ereal @ Y3 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(374,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal] :
( ( X2 = Y3 )
=> ( ord_le824540014_ereal @ X2 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(375,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal] :
( ~ ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ord_le824540014_ereal @ Y3 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[246]) ).
thf(376,plain,
( ( ! [A: extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ord_le824540014_ereal @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(377,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal,Z3: extended_ereal] :
( ( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ~ ( ord_le824540014_ereal @ Y3 @ Z3 ) )
=> ( ( ( ord_le824540014_ereal @ Y3 @ X2 )
=> ~ ( ord_le824540014_ereal @ X2 @ Z3 ) )
=> ( ( ( ord_le824540014_ereal @ X2 @ Z3 )
=> ~ ( ord_le824540014_ereal @ Z3 @ Y3 ) )
=> ( ( ( ord_le824540014_ereal @ Z3 @ Y3 )
=> ~ ( ord_le824540014_ereal @ Y3 @ X2 ) )
=> ( ( ( ord_le824540014_ereal @ Y3 @ Z3 )
=> ~ ( ord_le824540014_ereal @ Z3 @ X2 ) )
=> ~ ( ( ord_le824540014_ereal @ Z3 @ X2 )
=> ~ ( ord_le824540014_ereal @ X2 @ Y3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(378,plain,
( ( ! [Y3: extended_ereal,X2: extended_ereal] :
( ( ord_le824540014_ereal @ Y3 @ X2 )
=> ( ( ord_le824540014_ereal @ X2 @ Y3 )
= ( X2 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(379,plain,
( ( ( ^ [Y2: extended_ereal,Z2: extended_ereal] : ( Y2 = Z2 ) )
= ( ^ [A2: extended_ereal,B2: extended_ereal] :
( ( ord_le824540014_ereal @ A2 @ B2 )
& ( ord_le824540014_ereal @ B2 @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(380,plain,
( ( ! [A: extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( A = B )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ord_le824540014_ereal @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(381,plain,
( ( ! [A: extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( B = C )
=> ( ord_le824540014_ereal @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(382,plain,
( ( ! [A: extended_ereal,B: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_le824540014_ereal @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(383,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal,Z3: extended_ereal] :
( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ( ord_le824540014_ereal @ Y3 @ Z3 )
=> ( ord_le824540014_ereal @ X2 @ Z3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(384,plain,
( ( ! [A: extended_ereal] : ( ord_le824540014_ereal @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(385,plain,
( ( ! [P: extended_ereal > extended_ereal > $o,A: extended_ereal,B: extended_ereal] :
( ! [A3: extended_ereal,B3: extended_ereal] :
( ( ord_le824540014_ereal @ A3 @ B3 )
=> ( P @ A3 @ B3 ) )
=> ( ! [A3: extended_ereal,B3: extended_ereal] :
( ( P @ B3 @ A3 )
=> ( P @ A3 @ B3 ) )
=> ( P @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(386,plain,
( ( ! [B: extended_ereal,A: extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ B @ A )
=> ( ( ord_le824540014_ereal @ C @ B )
=> ( ord_le824540014_ereal @ C @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(387,plain,
( ( ( ^ [Y2: extended_ereal,Z2: extended_ereal] : ( Y2 = Z2 ) )
= ( ^ [A2: extended_ereal,B2: extended_ereal] :
( ( ord_le824540014_ereal @ B2 @ A2 )
& ( ord_le824540014_ereal @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(388,plain,
( ( ! [B: extended_ereal,A: extended_ereal] :
( ( ord_le824540014_ereal @ B @ A )
=> ( ( ord_le824540014_ereal @ A @ B )
=> ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(389,plain,
( ( ! [F: a > extended_ereal,X2: a] : ( ord_le824540014_ereal @ ( lower_881475195hull_a @ F @ X2 ) @ ( F @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(390,plain,
( ( ! [A: nat,B: nat,F: nat > extended_ereal,C: extended_ereal] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: nat,Y: nat] :
( ( ord_less_eq_nat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(391,plain,
( ( ! [A: extended_enat,B: extended_enat,F: extended_enat > extended_ereal,C: extended_ereal] :
( ( ord_le1863327750d_enat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_enat,Y: extended_enat] :
( ( ord_le1863327750d_enat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(392,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > real,C: real] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(393,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > nat,C: nat] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(394,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > extended_enat,C: extended_enat] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le1863327750d_enat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le1863327750d_enat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(395,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(396,plain,
( ( ! [A: extended_ereal,F: nat > extended_ereal,B: nat,C: nat] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X3: nat,Y: nat] :
( ( ord_less_eq_nat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(397,plain,
( ( ! [A: extended_ereal,F: extended_enat > extended_ereal,B: extended_enat,C: extended_enat] :
( ( A
= ( F @ B ) )
=> ( ( ord_le1863327750d_enat @ B @ C )
=> ( ! [X3: extended_enat,Y: extended_enat] :
( ( ord_le1863327750d_enat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(398,plain,
( ( ! [A: real,F: extended_ereal > real,B: extended_ereal,C: extended_ereal] :
( ( A
= ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(399,plain,
( ( ! [A: nat,F: extended_ereal > nat,B: extended_ereal,C: extended_ereal] :
( ( A
= ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(400,plain,
( ( ! [A: extended_enat,F: extended_ereal > extended_enat,B: extended_ereal,C: extended_ereal] :
( ( A
= ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le1863327750d_enat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le1863327750d_enat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(401,plain,
( ( ! [A: extended_ereal,F: extended_ereal > extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( A
= ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(402,plain,
( ( ! [A: extended_ereal,B: extended_ereal] :
( ( A = B )
| ~ ( ord_le824540014_ereal @ A @ B )
| ~ ( ord_le824540014_ereal @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(403,plain,
( ( ! [A: nat,B: nat,F: nat > extended_ereal,C: extended_ereal] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ord_le824540014_ereal @ ( F @ B ) @ C )
=> ( ! [X3: nat,Y: nat] :
( ( ord_less_eq_nat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(404,plain,
( ( ! [A: extended_enat,B: extended_enat,F: extended_enat > extended_ereal,C: extended_ereal] :
( ( ord_le1863327750d_enat @ A @ B )
=> ( ( ord_le824540014_ereal @ ( F @ B ) @ C )
=> ( ! [X3: extended_enat,Y: extended_enat] :
( ( ord_le1863327750d_enat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(405,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > real,C: real] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_less_eq_real @ ( F @ B ) @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(406,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > nat,C: nat] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_less_eq_nat @ ( F @ B ) @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(407,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > extended_enat,C: extended_enat] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_le1863327750d_enat @ ( F @ B ) @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le1863327750d_enat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le1863327750d_enat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(408,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_le824540014_ereal @ ( F @ B ) @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(409,plain,
( ( ! [A: nat,F: extended_ereal > nat,B: extended_ereal,C: extended_ereal] :
( ( ord_less_eq_nat @ A @ ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(410,plain,
( ( ! [A: extended_enat,F: extended_ereal > extended_enat,B: extended_ereal,C: extended_ereal] :
( ( ord_le1863327750d_enat @ A @ ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le1863327750d_enat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le1863327750d_enat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(411,plain,
( ( ! [A: extended_ereal,F: real > extended_ereal,B: real,C: real] :
( ( ord_le824540014_ereal @ A @ ( F @ B ) )
=> ( ( ord_less_eq_real @ B @ C )
=> ( ! [X3: real,Y: real] :
( ( ord_less_eq_real @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(412,plain,
( ( ! [A: extended_ereal,F: nat > extended_ereal,B: nat,C: nat] :
( ( ord_le824540014_ereal @ A @ ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X3: nat,Y: nat] :
( ( ord_less_eq_nat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(413,plain,
( ( ! [A: extended_ereal,F: extended_enat > extended_ereal,B: extended_enat,C: extended_enat] :
( ( ord_le824540014_ereal @ A @ ( F @ B ) )
=> ( ( ord_le1863327750d_enat @ B @ C )
=> ( ! [X3: extended_enat,Y: extended_enat] :
( ( ord_le1863327750d_enat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(414,plain,
( ( ! [A: extended_ereal,F: extended_ereal > extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(415,plain,
( ( ! [S: set_Extended_ereal] :
? [X3: extended_ereal] :
( ! [Xa: extended_ereal] :
( ( member1900190071_ereal @ Xa @ S )
=> ( ord_le824540014_ereal @ Xa @ X3 ) )
& ! [Z: extended_ereal] :
( ! [Xa2: extended_ereal] :
( ( member1900190071_ereal @ Xa2 @ S )
=> ( ord_le824540014_ereal @ Xa2 @ Z ) )
=> ( ord_le824540014_ereal @ X3 @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(416,plain,
( ( ! [S: set_Extended_ereal] :
? [X3: extended_ereal] :
( ! [Xa: extended_ereal] :
( ( member1900190071_ereal @ Xa @ S )
=> ( ord_le824540014_ereal @ X3 @ Xa ) )
& ! [Z: extended_ereal] :
( ! [Xa2: extended_ereal] :
( ( member1900190071_ereal @ Xa2 @ S )
=> ( ord_le824540014_ereal @ Z @ Xa2 ) )
=> ( ord_le824540014_ereal @ Z @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(417,plain,
( ( ! [X2: extended_ereal] : ( ord_le824540014_ereal @ X2 @ X2 ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(418,plain,
( ( ord_le824540014_ereal @ ( lower_881475195hull_a @ g @ x ) @ ( g @ x ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(419,plain,
( ( ! [X: a] : ( ord_le824540014_ereal @ ( g @ X ) @ ( f @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(420,plain,
( ( ~ ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[354]) ).
thf(421,plain,
( ( ! [X: a] : ( ord_le824540014_ereal @ ( g @ X ) @ ( f @ X ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(422,plain,
( ( ord_le824540014_ereal @ ( lower_881475195hull_a @ g @ x ) @ ( g @ x ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(423,plain,
( ( ! [X2: extended_ereal] : ( ord_le824540014_ereal @ X2 @ X2 ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(424,plain,
( ( ! [S: set_Extended_ereal] :
? [X3: extended_ereal] :
( ! [Xa: extended_ereal] :
( ( member1900190071_ereal @ Xa @ S )
=> ( ord_le824540014_ereal @ X3 @ Xa ) )
& ! [Z: extended_ereal] :
( ! [Xa2: extended_ereal] :
( ( member1900190071_ereal @ Xa2 @ S )
=> ( ord_le824540014_ereal @ Z @ Xa2 ) )
=> ( ord_le824540014_ereal @ Z @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(425,plain,
( ( ! [S: set_Extended_ereal] :
? [X3: extended_ereal] :
( ! [Xa: extended_ereal] :
( ( member1900190071_ereal @ Xa @ S )
=> ( ord_le824540014_ereal @ Xa @ X3 ) )
& ! [Z: extended_ereal] :
( ! [Xa2: extended_ereal] :
( ( member1900190071_ereal @ Xa2 @ S )
=> ( ord_le824540014_ereal @ Xa2 @ Z ) )
=> ( ord_le824540014_ereal @ X3 @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(426,plain,
( ( ! [A: extended_ereal,F: extended_ereal > extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(427,plain,
( ( ! [A: extended_ereal,F: extended_enat > extended_ereal,B: extended_enat,C: extended_enat] :
( ( ord_le824540014_ereal @ A @ ( F @ B ) )
=> ( ( ord_le1863327750d_enat @ B @ C )
=> ( ! [X3: extended_enat,Y: extended_enat] :
( ( ord_le1863327750d_enat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(428,plain,
( ( ! [A: extended_ereal,F: nat > extended_ereal,B: nat,C: nat] :
( ( ord_le824540014_ereal @ A @ ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X3: nat,Y: nat] :
( ( ord_less_eq_nat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(429,plain,
( ( ! [A: extended_ereal,F: real > extended_ereal,B: real,C: real] :
( ( ord_le824540014_ereal @ A @ ( F @ B ) )
=> ( ( ord_less_eq_real @ B @ C )
=> ( ! [X3: real,Y: real] :
( ( ord_less_eq_real @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(430,plain,
( ( ! [A: extended_enat,F: extended_ereal > extended_enat,B: extended_ereal,C: extended_ereal] :
( ( ord_le1863327750d_enat @ A @ ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le1863327750d_enat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le1863327750d_enat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(431,plain,
( ( ! [A: nat,F: extended_ereal > nat,B: extended_ereal,C: extended_ereal] :
( ( ord_less_eq_nat @ A @ ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(432,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_le824540014_ereal @ ( F @ B ) @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(433,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > extended_enat,C: extended_enat] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_le1863327750d_enat @ ( F @ B ) @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le1863327750d_enat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le1863327750d_enat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(434,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > nat,C: nat] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_less_eq_nat @ ( F @ B ) @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(435,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > real,C: real] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_less_eq_real @ ( F @ B ) @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(436,plain,
( ( ! [A: extended_enat,B: extended_enat,F: extended_enat > extended_ereal,C: extended_ereal] :
( ( ord_le1863327750d_enat @ A @ B )
=> ( ( ord_le824540014_ereal @ ( F @ B ) @ C )
=> ( ! [X3: extended_enat,Y: extended_enat] :
( ( ord_le1863327750d_enat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(437,plain,
( ( ! [A: nat,B: nat,F: nat > extended_ereal,C: extended_ereal] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ord_le824540014_ereal @ ( F @ B ) @ C )
=> ( ! [X3: nat,Y: nat] :
( ( ord_less_eq_nat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(438,plain,
( ( ! [A: extended_ereal,B: extended_ereal] :
( ( A = B )
| ~ ( ord_le824540014_ereal @ A @ B )
| ~ ( ord_le824540014_ereal @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(439,plain,
( ( ! [A: extended_ereal,F: extended_ereal > extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( A
= ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(440,plain,
( ( ! [A: extended_enat,F: extended_ereal > extended_enat,B: extended_ereal,C: extended_ereal] :
( ( A
= ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le1863327750d_enat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le1863327750d_enat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(441,plain,
( ( ! [A: nat,F: extended_ereal > nat,B: extended_ereal,C: extended_ereal] :
( ( A
= ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(442,plain,
( ( ! [A: real,F: extended_ereal > real,B: extended_ereal,C: extended_ereal] :
( ( A
= ( F @ B ) )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_real @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(443,plain,
( ( ! [A: extended_ereal,F: extended_enat > extended_ereal,B: extended_enat,C: extended_enat] :
( ( A
= ( F @ B ) )
=> ( ( ord_le1863327750d_enat @ B @ C )
=> ( ! [X3: extended_enat,Y: extended_enat] :
( ( ord_le1863327750d_enat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(444,plain,
( ( ! [A: extended_ereal,F: nat > extended_ereal,B: nat,C: nat] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X3: nat,Y: nat] :
( ( ord_less_eq_nat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(445,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(446,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > extended_enat,C: extended_enat] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le1863327750d_enat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le1863327750d_enat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(447,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > nat,C: nat] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_nat @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(448,plain,
( ( ! [A: extended_ereal,B: extended_ereal,F: extended_ereal > real,C: real] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_less_eq_real @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_real @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(449,plain,
( ( ! [A: extended_enat,B: extended_enat,F: extended_enat > extended_ereal,C: extended_ereal] :
( ( ord_le1863327750d_enat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: extended_enat,Y: extended_enat] :
( ( ord_le1863327750d_enat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(450,plain,
( ( ! [A: nat,B: nat,F: nat > extended_ereal,C: extended_ereal] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: nat,Y: nat] :
( ( ord_less_eq_nat @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ X3 ) @ ( F @ Y ) ) )
=> ( ord_le824540014_ereal @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(451,plain,
( ( ! [F: a > extended_ereal,X2: a] : ( ord_le824540014_ereal @ ( lower_881475195hull_a @ F @ X2 ) @ ( F @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(452,plain,
( ( ! [B: extended_ereal,A: extended_ereal] :
( ( ord_le824540014_ereal @ B @ A )
=> ( ( ord_le824540014_ereal @ A @ B )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(453,plain,
( ( ( ^ [Y2: extended_ereal,Z2: extended_ereal] : ( Y2 = Z2 ) )
= ( ^ [A2: extended_ereal,B2: extended_ereal] :
( ( ord_le824540014_ereal @ B2 @ A2 )
& ( ord_le824540014_ereal @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(454,plain,
( ( ! [B: extended_ereal,A: extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ B @ A )
=> ( ( ord_le824540014_ereal @ C @ B )
=> ( ord_le824540014_ereal @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(455,plain,
( ( ! [P: extended_ereal > extended_ereal > $o,A: extended_ereal,B: extended_ereal] :
( ! [A3: extended_ereal,B3: extended_ereal] :
( ( ord_le824540014_ereal @ A3 @ B3 )
=> ( P @ A3 @ B3 ) )
=> ( ! [A3: extended_ereal,B3: extended_ereal] :
( ( P @ B3 @ A3 )
=> ( P @ A3 @ B3 ) )
=> ( P @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(456,plain,
( ( ! [A: extended_ereal] : ( ord_le824540014_ereal @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(457,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal,Z3: extended_ereal] :
( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ( ord_le824540014_ereal @ Y3 @ Z3 )
=> ( ord_le824540014_ereal @ X2 @ Z3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(458,plain,
( ( ! [A: extended_ereal,B: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_le824540014_ereal @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(459,plain,
( ( ! [A: extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( B = C )
=> ( ord_le824540014_ereal @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(460,plain,
( ( ! [A: extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( A = B )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ord_le824540014_ereal @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(461,plain,
( ( ( ^ [Y2: extended_ereal,Z2: extended_ereal] : ( Y2 = Z2 ) )
= ( ^ [A2: extended_ereal,B2: extended_ereal] :
( ( ord_le824540014_ereal @ A2 @ B2 )
& ( ord_le824540014_ereal @ B2 @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(462,plain,
( ( ! [Y3: extended_ereal,X2: extended_ereal] :
( ( ord_le824540014_ereal @ Y3 @ X2 )
=> ( ( ord_le824540014_ereal @ X2 @ Y3 )
= ( X2 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(463,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal,Z3: extended_ereal] :
( ( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ~ ( ord_le824540014_ereal @ Y3 @ Z3 ) )
=> ( ( ( ord_le824540014_ereal @ Y3 @ X2 )
=> ~ ( ord_le824540014_ereal @ X2 @ Z3 ) )
=> ( ( ( ord_le824540014_ereal @ X2 @ Z3 )
=> ~ ( ord_le824540014_ereal @ Z3 @ Y3 ) )
=> ( ( ( ord_le824540014_ereal @ Z3 @ Y3 )
=> ~ ( ord_le824540014_ereal @ Y3 @ X2 ) )
=> ( ( ( ord_le824540014_ereal @ Y3 @ Z3 )
=> ~ ( ord_le824540014_ereal @ Z3 @ X2 ) )
=> ~ ( ( ord_le824540014_ereal @ Z3 @ X2 )
=> ~ ( ord_le824540014_ereal @ X2 @ Y3 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(464,plain,
( ( ! [A: extended_ereal,B: extended_ereal,C: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( ord_le824540014_ereal @ B @ C )
=> ( ord_le824540014_ereal @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(465,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal] :
( ~ ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ord_le824540014_ereal @ Y3 @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(466,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal] :
( ( X2 = Y3 )
=> ( ord_le824540014_ereal @ X2 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(467,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal] :
( ( ord_le824540014_ereal @ X2 @ Y3 )
| ( ord_le824540014_ereal @ Y3 @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(468,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal] :
( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ( ord_le824540014_ereal @ Y3 @ X2 )
=> ( X2 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(469,plain,
( ( ( ^ [Y2: extended_ereal,Z2: extended_ereal] : ( Y2 = Z2 ) )
= ( ^ [X4: extended_ereal,Y4: extended_ereal] :
( ( ord_le824540014_ereal @ X4 @ Y4 )
& ( ord_le824540014_ereal @ Y4 @ X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(470,plain,
( ( ! [P: extended_ereal > $o,X2: extended_ereal] :
( ( P @ X2 )
=> ( ! [Y: extended_ereal] :
( ( P @ Y )
=> ( ord_le824540014_ereal @ Y @ X2 ) )
=> ( ( order_1158471719_ereal @ P )
= X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(471,plain,
( ( ! [P: extended_ereal > $o,X2: extended_ereal,Q: extended_ereal > $o] :
( ( P @ X2 )
=> ( ! [Y: extended_ereal] :
( ( P @ Y )
=> ( ord_le824540014_ereal @ Y @ X2 ) )
=> ( ! [X3: extended_ereal] :
( ( P @ X3 )
=> ( ! [Y5: extended_ereal] :
( ( P @ Y5 )
=> ( ord_le824540014_ereal @ Y5 @ X3 ) )
=> ( Q @ X3 ) ) )
=> ( Q @ ( order_1158471719_ereal @ P ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(472,plain,
( ( ord_le637473275_ereal
= ( ^ [X5: $o > extended_ereal,Y6: $o > extended_ereal] :
( ( ord_le824540014_ereal @ ( X5 @ $false ) @ ( Y6 @ $false ) )
& ( ord_le824540014_ereal @ ( X5 @ $true ) @ ( Y6 @ $true ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(473,plain,
( ( order_1408494002_ereal
= ( ^ [F2: extended_ereal > extended_ereal] :
! [X4: extended_ereal,Y4: extended_ereal] :
( ( ord_le824540014_ereal @ X4 @ Y4 )
=> ( ord_le824540014_ereal @ ( F2 @ Y4 ) @ ( F2 @ X4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(474,plain,
( ( ! [F: extended_ereal > extended_ereal] :
( ! [X3: extended_ereal,Y: extended_ereal] :
( ( ord_le824540014_ereal @ X3 @ Y )
=> ( ord_le824540014_ereal @ ( F @ Y ) @ ( F @ X3 ) ) )
=> ( order_1408494002_ereal @ F ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(475,plain,
( ( ! [F: extended_ereal > extended_ereal,X2: extended_ereal,Y3: extended_ereal] :
( ( order_1408494002_ereal @ F )
=> ( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ord_le824540014_ereal @ ( F @ Y3 ) @ ( F @ X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(476,plain,
( ( ! [F: extended_ereal > extended_ereal,X2: extended_ereal,Y3: extended_ereal] :
( ( order_1408494002_ereal @ F )
=> ( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( ord_le824540014_ereal @ ( F @ Y3 ) @ ( F @ X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(477,plain,
( ( ! [X2: extended_ereal] :
( ( ord_le824540014_ereal @ extend1289208545_ereal @ X2 )
= ( X2 = extend1289208545_ereal ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(478,plain,
( ( ! [F: extended_ereal > extended_ereal,X2: extended_ereal,Y3: extended_ereal] :
( ( order_555877177_ereal @ F )
=> ( ( ord_le824540014_ereal @ ( F @ X2 ) @ ( F @ Y3 ) )
= ( ord_le824540014_ereal @ X2 @ Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(479,plain,
( ( ! [R: extended_ereal > extended_ereal,M: extended_ereal,N: extended_ereal] :
( ( order_555877177_ereal @ R )
=> ( ( ord_le824540014_ereal @ M @ N )
=> ( ord_le824540014_ereal @ ( R @ M ) @ ( R @ N ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(480,plain,
( ( ! [Y3: extended_ereal,X2: extended_ereal] :
( ( Y3 != extend1289208545_ereal )
=> ( ( ord_le824540014_ereal @ X2 @ Y3 )
=> ( X2 != extend1289208545_ereal ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(481,plain,
( ( ! [A: extended_ereal,B: extended_ereal] :
( ( ord_le824540014_ereal @ A @ B )
=> ( ( A = extend1289208545_ereal )
=> ( B = extend1289208545_ereal ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(482,plain,
( ( ! [X2: extended_ereal] : ( ord_le824540014_ereal @ X2 @ extend1289208545_ereal ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(483,plain,
( ( ! [A: extended_ereal,B: extended_ereal] :
( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ A ) @ ( uminus1208298309_ereal @ B ) )
= ( ord_le824540014_ereal @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(484,plain,
( ( ! [A: extended_ereal,B: extended_ereal] :
( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ A ) @ B )
= ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ B ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(485,plain,
( ( ! [X2: extended_ereal,Y3: extended_ereal] :
( ! [Z4: real] :
( ( ord_le824540014_ereal @ X2 @ ( extended_ereal2 @ Z4 ) )
=> ( ord_le824540014_ereal @ Y3 @ ( extended_ereal2 @ Z4 ) ) )
=> ( ord_le824540014_ereal @ Y3 @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(486,plain,
( ( ~ ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(487,plain,
( ( ( ^ [SX0: extended_ereal,SX1: extended_ereal] : ( SX0 = SX1 ) )
= ( ^ [SX0: extended_ereal,SX1: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(488,plain,
( ( ! [SX0: extended_ereal > extended_ereal > $o,SX1: extended_ereal,SX2: extended_ereal] :
( ~ ! [SX3: extended_ereal,SX4: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX3 @ SX4 )
| ( SX0 @ SX3 @ SX4 ) )
| ~ ! [SX3: extended_ereal,SX4: extended_ereal] :
( ~ ( SX0 @ SX4 @ SX3 )
| ( SX0 @ SX3 @ SX4 ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[455]) ).
thf(489,plain,
( ( ! [SX0: real,SX1: extended_ereal > real,SX2: extended_ereal,SX3: extended_ereal] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_le824540014_ereal @ SX2 @ SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_real @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(490,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ( ( ord_le824540014_ereal @ SX1 @ SX0 )
= ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(491,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(492,plain,
( ( ! [SX0: extended_ereal > $o,SX1: extended_ereal,SX2: extended_ereal > $o] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX3: extended_ereal] :
( ~ ( SX0 @ SX3 )
| ( ord_le824540014_ereal @ SX3 @ SX1 ) )
| ~ ! [SX3: extended_ereal] :
( ~ ( SX0 @ SX3 )
| ~ ! [SX4: extended_ereal] :
( ~ ( SX0 @ SX4 )
| ( ord_le824540014_ereal @ SX4 @ SX3 ) )
| ( SX2 @ SX3 ) )
| ( SX2 @ ( order_1158471719_ereal @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[471]) ).
thf(493,plain,
( ( ord_le637473275_ereal
= ( ^ [SX0: $o > extended_ereal,SX1: $o > extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ ( SX0 @ $false ) @ ( SX1 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SX0 @ $true ) @ ( SX1 @ $true ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[472]) ).
thf(494,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal] :
( ( SX0 != SX1 )
| ( ord_le824540014_ereal @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(495,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal > extended_ereal,SX3: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(496,plain,
( ( order_1408494002_ereal
= ( ^ [SX0: extended_ereal > extended_ereal] :
! [SX1: extended_ereal,SX2: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX1 @ SX2 )
| ( ord_le824540014_ereal @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[473]) ).
thf(497,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat > extended_ereal,SX3: extended_ereal] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(498,plain,
( ( ! [SX0: extended_ereal,SX1: extended_enat > extended_ereal,SX2: extended_enat,SX3: extended_enat] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_le1863327750d_enat @ SX2 @ SX3 )
| ~ ! [SX4: extended_enat,SX5: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(499,plain,
( ( ! [SX0: extended_enat,SX1: extended_enat,SX2: extended_enat > extended_ereal,SX3: extended_ereal] :
( ~ ( ord_le1863327750d_enat @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: extended_enat,SX5: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436]) ).
thf(500,plain,
( ( ! [SX0: extended_ereal > extended_ereal,SX1: extended_ereal,SX2: extended_ereal] :
( ~ ( order_555877177_ereal @ SX0 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX2 )
| ( ord_le824540014_ereal @ ( SX0 @ SX1 ) @ ( SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[479]) ).
thf(501,plain,
( ( ! [SX0: set_Extended_ereal] :
~ ! [SX1: extended_ereal] :
~ ~ ( ~ ! [SX2: extended_ereal] :
( ~ ( member1900190071_ereal @ SX2 @ SX0 )
| ( ord_le824540014_ereal @ SX1 @ SX2 ) )
| ~ ! [SX2: extended_ereal] :
( ~ ! [SX3: extended_ereal] :
( ~ ( member1900190071_ereal @ SX3 @ SX0 )
| ( ord_le824540014_ereal @ SX2 @ SX3 ) )
| ( ord_le824540014_ereal @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[424]) ).
thf(502,plain,
( ( ! [SX0: extended_enat,SX1: extended_ereal > extended_enat,SX2: extended_ereal,SX3: extended_ereal] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_le824540014_ereal @ SX2 @ SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le1863327750d_enat @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le1863327750d_enat @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440]) ).
thf(503,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ SX2 @ SX0 )
| ( ord_le824540014_ereal @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(504,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal] :
( ~ ( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX2 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SX1 @ SX0 )
| ~ ( ord_le824540014_ereal @ SX0 @ SX2 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SX0 @ SX2 )
| ~ ( ord_le824540014_ereal @ SX2 @ SX1 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SX2 @ SX1 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX0 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SX1 @ SX2 )
| ~ ( ord_le824540014_ereal @ SX2 @ SX0 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SX2 @ SX0 )
| ~ ( ord_le824540014_ereal @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(505,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal > real,SX3: real] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_less_eq_real @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_real @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(506,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal > real,SX3: real] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_real @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(507,plain,
( ( ! [SX0: extended_ereal > extended_ereal] :
( ~ ! [SX1: extended_ereal,SX2: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX1 @ SX2 )
| ( ord_le824540014_ereal @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) )
| ( order_1408494002_ereal @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[474]) ).
thf(508,plain,
( ( ! [SX0: extended_ereal > extended_ereal,SX1: extended_ereal,SX2: extended_ereal] :
( ~ ( order_1408494002_ereal @ SX0 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX2 )
| ( ord_le824540014_ereal @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(509,plain,
( ( ! [SX0: nat,SX1: extended_ereal > nat,SX2: extended_ereal,SX3: extended_ereal] :
( ~ ( ord_less_eq_nat @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_le824540014_ereal @ SX2 @ SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_nat @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[431]) ).
thf(510,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal > extended_ereal,SX2: extended_ereal,SX3: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_le824540014_ereal @ SX2 @ SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[426]) ).
thf(511,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ( SX0 != extend1289208545_ereal )
| ( SX1 = extend1289208545_ereal ) ) )
= $true ),
inference(unfold_def,[status(thm)],[481]) ).
thf(512,plain,
( ( ! [SX0: extended_ereal,SX1: nat > extended_ereal,SX2: nat,SX3: nat] :
( ~ ( ord_le824540014_ereal @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_nat @ SX2 @ SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[428]) ).
thf(513,plain,
( ( ! [SX0: extended_ereal > extended_ereal,SX1: extended_ereal,SX2: extended_ereal] :
( ~ ( order_555877177_ereal @ SX0 )
| ( ( ord_le824540014_ereal @ ( SX0 @ SX1 ) @ ( SX0 @ SX2 ) )
= ( ord_le824540014_ereal @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[478]) ).
thf(514,plain,
( ( ! [SX0: extended_ereal,SX1: nat > extended_ereal,SX2: nat,SX3: nat] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_nat @ SX2 @ SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(515,plain,
( ( ( ^ [SX0: extended_ereal,SX1: extended_ereal] : ( SX0 = SX1 ) )
= ( ^ [SX0: extended_ereal,SX1: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SX1 @ SX0 )
| ~ ( ord_le824540014_ereal @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(516,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX0 )
| ( SX1 = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(517,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX2 )
| ( ord_le824540014_ereal @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(518,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal > nat,SX3: nat] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_nat @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(519,plain,
( ( ( ^ [SX0: extended_ereal,SX1: extended_ereal] : ( SX0 = SX1 ) )
= ( ^ [SX0: extended_ereal,SX1: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(520,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX2 )
| ( ord_le824540014_ereal @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(521,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal] :
( ~ ! [SX2: real] :
( ~ ( ord_le824540014_ereal @ SX0 @ ( extended_ereal2 @ SX2 ) )
| ( ord_le824540014_ereal @ SX1 @ ( extended_ereal2 @ SX2 ) ) )
| ( ord_le824540014_ereal @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[485]) ).
thf(522,plain,
( ( ! [SX0: extended_ereal > extended_ereal,SX1: extended_ereal,SX2: extended_ereal] :
( ~ ( order_1408494002_ereal @ SX0 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX2 )
| ( ord_le824540014_ereal @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[476]) ).
thf(523,plain,
( ( ! [SX0: extended_ereal > $o,SX1: extended_ereal] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX2: extended_ereal] :
( ~ ( SX0 @ SX2 )
| ( ord_le824540014_ereal @ SX2 @ SX1 ) )
| ( ( order_1158471719_ereal @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(524,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal > extended_enat,SX3: extended_enat] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le1863327750d_enat @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le1863327750d_enat @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(525,plain,
( ( ! [SX0: nat,SX1: extended_ereal > nat,SX2: extended_ereal,SX3: extended_ereal] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_le824540014_ereal @ SX2 @ SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_nat @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(526,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(527,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal] :
( ~ ( ( SX0 != extend1289208545_ereal ) )
| ~ ( ord_le824540014_ereal @ SX1 @ SX0 )
| ( SX1 != extend1289208545_ereal ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(528,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal > extended_ereal,SX3: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432]) ).
thf(529,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal] :
( ( SX0 != SX1 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX2 )
| ( ord_le824540014_ereal @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(530,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal > nat,SX3: nat] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_less_eq_nat @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_nat @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(531,plain,
( ( ! [SX0: extended_enat,SX1: extended_ereal > extended_enat,SX2: extended_ereal,SX3: extended_ereal] :
( ~ ( ord_le1863327750d_enat @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_le824540014_ereal @ SX2 @ SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le1863327750d_enat @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le1863327750d_enat @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[430]) ).
thf(532,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal > extended_enat,SX3: extended_enat] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_le1863327750d_enat @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le1863327750d_enat @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le1863327750d_enat @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[433]) ).
thf(533,plain,
( ( ! [SX0: extended_enat,SX1: extended_enat,SX2: extended_enat > extended_ereal,SX3: extended_ereal] :
( ~ ( ord_le1863327750d_enat @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: extended_enat,SX5: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(534,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat > extended_ereal,SX3: extended_ereal] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[437]) ).
thf(535,plain,
( ( ! [SX0: extended_ereal,SX1: real > extended_ereal,SX2: real,SX3: real] :
( ~ ( ord_le824540014_ereal @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_real @ SX2 @ SX3 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_eq_real @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[429]) ).
thf(536,plain,
( ( ! [SX0: set_Extended_ereal] :
~ ! [SX1: extended_ereal] :
~ ~ ( ~ ! [SX2: extended_ereal] :
( ~ ( member1900190071_ereal @ SX2 @ SX0 )
| ( ord_le824540014_ereal @ SX2 @ SX1 ) )
| ~ ! [SX2: extended_ereal] :
( ~ ! [SX3: extended_ereal] :
( ~ ( member1900190071_ereal @ SX3 @ SX0 )
| ( ord_le824540014_ereal @ SX3 @ SX2 ) )
| ( ord_le824540014_ereal @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[425]) ).
thf(537,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal] :
( ~ ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ( ord_le824540014_ereal @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(538,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal > extended_ereal,SX2: extended_ereal,SX3: extended_ereal] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_le824540014_ereal @ SX2 @ SX3 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(539,plain,
( ( ! [SX0: extended_ereal,SX1: extended_ereal,SX2: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ( SX1 != SX2 )
| ( ord_le824540014_ereal @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(540,plain,
( ( ! [SX0: extended_ereal,SX1: extended_enat > extended_ereal,SX2: extended_enat,SX3: extended_enat] :
( ~ ( ord_le824540014_ereal @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_le1863327750d_enat @ SX2 @ SX3 )
| ~ ! [SX4: extended_enat,SX5: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[427]) ).
thf(541,plain,
! [SV1: a] :
( ( ord_le824540014_ereal @ ( g @ SV1 ) @ ( f @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(542,plain,
! [SV2: extended_ereal] :
( ( ord_le824540014_ereal @ SV2 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(543,plain,
! [SV3: extended_ereal] :
( ( ! [SY254: extended_ereal] :
( ( SV3 = SY254 )
| ~ ( ord_le824540014_ereal @ SV3 @ SY254 )
| ~ ( ord_le824540014_ereal @ SY254 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(544,plain,
! [SV4: a > extended_ereal] :
( ( ! [SY255: a] : ( ord_le824540014_ereal @ ( lower_881475195hull_a @ SV4 @ SY255 ) @ ( SV4 @ SY255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(545,plain,
! [SV5: extended_ereal] :
( ( ord_le824540014_ereal @ SV5 @ SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(546,plain,
! [SV6: extended_ereal] :
( ( ! [SY256: extended_ereal] :
( ( ord_le824540014_ereal @ SV6 @ SY256 )
| ( ord_le824540014_ereal @ SY256 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(547,plain,
! [SV7: extended_ereal] :
( ( ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
= ( SV7 = extend1289208545_ereal ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(548,plain,
! [SV8: extended_ereal] :
( ( ord_le824540014_ereal @ SV8 @ extend1289208545_ereal )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(549,plain,
! [SV9: extended_ereal] :
( ( ! [SY257: extended_ereal] :
( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SY257 ) )
= ( ord_le824540014_ereal @ SY257 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(550,plain,
! [SV10: extended_ereal] :
( ( ! [SY258: extended_ereal] :
( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SY258 )
= ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SY258 ) @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(551,plain,
( ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(552,plain,
( ( ! [SV11: extended_ereal] :
( ( ^ [SY259: extended_ereal] : ( SV11 = SY259 ) )
= ( ^ [SY260: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SV11 @ SY260 )
| ~ ( ord_le824540014_ereal @ SY260 @ SV11 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[487]) ).
thf(553,plain,
( ( ( ^ [SX0: extended_ereal,SX1: extended_ereal] : ( SX0 = SX1 ) )
= ( ^ [SX0: extended_ereal,SX1: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[487]) ).
thf(554,plain,
! [SV12: extended_ereal > extended_ereal > $o] :
( ( ! [SY261: extended_ereal,SY262: extended_ereal] :
( ~ ! [SY263: extended_ereal,SY264: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY263 @ SY264 )
| ( SV12 @ SY263 @ SY264 ) )
| ~ ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) )
| ( SV12 @ SY261 @ SY262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(555,plain,
! [SV13: real] :
( ( ! [SY267: extended_ereal > real,SY268: extended_ereal,SY269: extended_ereal] :
( ( SV13
!= ( SY267 @ SY268 ) )
| ~ ( ord_le824540014_ereal @ SY268 @ SY269 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SY267 @ SX4 ) @ ( SY267 @ SX5 ) ) )
| ( ord_less_eq_real @ SV13 @ ( SY267 @ SY269 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(556,plain,
! [SV14: extended_ereal] :
( ( ! [SY272: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV14 @ SY272 )
| ( ( ord_le824540014_ereal @ SY272 @ SV14 )
= ( SY272 = SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(557,plain,
! [SV15: extended_ereal] :
( ( ! [SY273: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV15 @ SY273 )
| ~ ( ord_le824540014_ereal @ SY273 @ SV15 )
| ( SV15 = SY273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(558,plain,
! [SV16: extended_ereal > $o] :
( ( ! [SY274: extended_ereal,SY275: extended_ereal > $o] :
( ~ ( SV16 @ SY274 )
| ~ ! [SY276: extended_ereal] :
( ~ ( SV16 @ SY276 )
| ( ord_le824540014_ereal @ SY276 @ SY274 ) )
| ~ ! [SY277: extended_ereal] :
( ~ ( SV16 @ SY277 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY277 ) )
| ( SY275 @ SY277 ) )
| ( SY275 @ ( order_1158471719_ereal @ SV16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(559,plain,
( ( ! [SV17: $o > extended_ereal] :
( ( ord_le637473275_ereal @ SV17 )
= ( ^ [SY279: $o > extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ ( SV17 @ $false ) @ ( SY279 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV17 @ $true ) @ ( SY279 @ $true ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[493]) ).
thf(560,plain,
( ( ord_le637473275_ereal
= ( ^ [SX0: $o > extended_ereal,SX1: $o > extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ ( SX0 @ $false ) @ ( SX1 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SX0 @ $true ) @ ( SX1 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[493]) ).
thf(561,plain,
! [SV18: extended_ereal] :
( ( ! [SY280: extended_ereal] :
( ( SV18 != SY280 )
| ( ord_le824540014_ereal @ SV18 @ SY280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(562,plain,
! [SV19: extended_ereal] :
( ( ! [SY281: extended_ereal,SY282: extended_ereal > extended_ereal,SY283: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV19 @ SY281 )
| ( ( SY282 @ SY281 )
!= SY283 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY282 @ SX4 ) @ ( SY282 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SY282 @ SV19 ) @ SY283 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(563,plain,
( ( ! [SV20: extended_ereal > extended_ereal] :
( ( order_1408494002_ereal @ SV20 )
= ( ! [SY286: extended_ereal,SY287: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY286 @ SY287 )
| ( ord_le824540014_ereal @ ( SV20 @ SY287 ) @ ( SV20 @ SY286 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[496]) ).
thf(564,plain,
( ( order_1408494002_ereal
= ( ^ [SX0: extended_ereal > extended_ereal] :
! [SX1: extended_ereal,SX2: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX1 @ SX2 )
| ( ord_le824540014_ereal @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[496]) ).
thf(565,plain,
! [SV21: nat] :
( ( ! [SY288: nat,SY289: nat > extended_ereal,SY290: extended_ereal] :
( ~ ( ord_less_eq_nat @ SV21 @ SY288 )
| ( ( SY289 @ SY288 )
!= SY290 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY289 @ SX4 ) @ ( SY289 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SY289 @ SV21 ) @ SY290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(566,plain,
! [SV22: extended_ereal] :
( ( ! [SY293: extended_enat > extended_ereal,SY294: extended_enat,SY295: extended_enat] :
( ( SV22
!= ( SY293 @ SY294 ) )
| ~ ( ord_le1863327750d_enat @ SY294 @ SY295 )
| ~ ! [SX4: extended_enat,SX5: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY293 @ SX4 ) @ ( SY293 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SV22 @ ( SY293 @ SY295 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(567,plain,
! [SV23: extended_enat] :
( ( ! [SY298: extended_enat,SY299: extended_enat > extended_ereal,SY300: extended_ereal] :
( ~ ( ord_le1863327750d_enat @ SV23 @ SY298 )
| ~ ( ord_le824540014_ereal @ ( SY299 @ SY298 ) @ SY300 )
| ~ ! [SX4: extended_enat,SX5: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY299 @ SX4 ) @ ( SY299 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SY299 @ SV23 ) @ SY300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(568,plain,
! [SV24: extended_ereal > extended_ereal] :
( ( ! [SY303: extended_ereal,SY304: extended_ereal] :
( ~ ( order_555877177_ereal @ SV24 )
| ~ ( ord_le824540014_ereal @ SY303 @ SY304 )
| ( ord_le824540014_ereal @ ( SV24 @ SY303 ) @ ( SV24 @ SY304 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(569,plain,
! [SV25: set_Extended_ereal] :
( ( ~ ! [SY305: extended_ereal] :
~ ~ ( ~ ! [SY306: extended_ereal] :
( ~ ( member1900190071_ereal @ SY306 @ SV25 )
| ( ord_le824540014_ereal @ SY305 @ SY306 ) )
| ~ ! [SY307: extended_ereal] :
( ~ ! [SY308: extended_ereal] :
( ~ ( member1900190071_ereal @ SY308 @ SV25 )
| ( ord_le824540014_ereal @ SY307 @ SY308 ) )
| ( ord_le824540014_ereal @ SY307 @ SY305 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(570,plain,
! [SV26: extended_enat] :
( ( ! [SY309: extended_ereal > extended_enat,SY310: extended_ereal,SY311: extended_ereal] :
( ( SV26
!= ( SY309 @ SY310 ) )
| ~ ( ord_le824540014_ereal @ SY310 @ SY311 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le1863327750d_enat @ ( SY309 @ SX4 ) @ ( SY309 @ SX5 ) ) )
| ( ord_le1863327750d_enat @ SV26 @ ( SY309 @ SY311 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(571,plain,
! [SV27: extended_ereal] :
( ( ! [SY314: extended_ereal,SY315: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV27 @ SY314 )
| ~ ( ord_le824540014_ereal @ SY315 @ SV27 )
| ( ord_le824540014_ereal @ SY315 @ SY314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(572,plain,
! [SV28: extended_ereal] :
( ( ! [SY316: extended_ereal,SY317: extended_ereal] :
( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SY316 )
| ~ ( ord_le824540014_ereal @ SY316 @ SY317 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SY316 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SY317 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SY317 )
| ~ ( ord_le824540014_ereal @ SY317 @ SY316 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SY317 @ SY316 )
| ~ ( ord_le824540014_ereal @ SY316 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SY316 @ SY317 )
| ~ ( ord_le824540014_ereal @ SY317 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SY317 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SY316 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(573,plain,
! [SV29: extended_ereal] :
( ( ! [SY318: extended_ereal,SY319: extended_ereal > real,SY320: real] :
( ~ ( ord_le824540014_ereal @ SV29 @ SY318 )
| ~ ( ord_less_eq_real @ ( SY319 @ SY318 ) @ SY320 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SY319 @ SX4 ) @ ( SY319 @ SX5 ) ) )
| ( ord_less_eq_real @ ( SY319 @ SV29 ) @ SY320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(574,plain,
! [SV30: extended_ereal] :
( ( ! [SY323: extended_ereal,SY324: extended_ereal > real,SY325: real] :
( ~ ( ord_le824540014_ereal @ SV30 @ SY323 )
| ( ( SY324 @ SY323 )
!= SY325 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SY324 @ SX4 ) @ ( SY324 @ SX5 ) ) )
| ( ord_less_eq_real @ ( SY324 @ SV30 ) @ SY325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(575,plain,
! [SV31: extended_ereal > extended_ereal] :
( ( ~ ! [SY328: extended_ereal,SY329: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY328 @ SY329 )
| ( ord_le824540014_ereal @ ( SV31 @ SY329 ) @ ( SV31 @ SY328 ) ) )
| ( order_1408494002_ereal @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(576,plain,
! [SV32: extended_ereal > extended_ereal] :
( ( ! [SY330: extended_ereal,SY331: extended_ereal] :
( ~ ( order_1408494002_ereal @ SV32 )
| ~ ( ord_le824540014_ereal @ SY330 @ SY331 )
| ( ord_le824540014_ereal @ ( SV32 @ SY331 ) @ ( SV32 @ SY330 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(577,plain,
! [SV33: nat] :
( ( ! [SY332: extended_ereal > nat,SY333: extended_ereal,SY334: extended_ereal] :
( ~ ( ord_less_eq_nat @ SV33 @ ( SY332 @ SY333 ) )
| ~ ( ord_le824540014_ereal @ SY333 @ SY334 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SY332 @ SX4 ) @ ( SY332 @ SX5 ) ) )
| ( ord_less_eq_nat @ SV33 @ ( SY332 @ SY334 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(578,plain,
! [SV34: extended_ereal] :
( ( ! [SY337: extended_ereal > extended_ereal,SY338: extended_ereal,SY339: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV34 @ ( SY337 @ SY338 ) )
| ~ ( ord_le824540014_ereal @ SY338 @ SY339 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY337 @ SX4 ) @ ( SY337 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SV34 @ ( SY337 @ SY339 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(579,plain,
! [SV35: extended_ereal] :
( ( ! [SY342: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV35 @ SY342 )
| ( SV35 != extend1289208545_ereal )
| ( SY342 = extend1289208545_ereal ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(580,plain,
! [SV36: extended_ereal] :
( ( ! [SY343: nat > extended_ereal,SY344: nat,SY345: nat] :
( ~ ( ord_le824540014_ereal @ SV36 @ ( SY343 @ SY344 ) )
| ~ ( ord_less_eq_nat @ SY344 @ SY345 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY343 @ SX4 ) @ ( SY343 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SV36 @ ( SY343 @ SY345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(581,plain,
! [SV37: extended_ereal > extended_ereal] :
( ( ! [SY348: extended_ereal,SY349: extended_ereal] :
( ~ ( order_555877177_ereal @ SV37 )
| ( ( ord_le824540014_ereal @ ( SV37 @ SY348 ) @ ( SV37 @ SY349 ) )
= ( ord_le824540014_ereal @ SY348 @ SY349 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(582,plain,
! [SV38: extended_ereal] :
( ( ! [SY350: nat > extended_ereal,SY351: nat,SY352: nat] :
( ( SV38
!= ( SY350 @ SY351 ) )
| ~ ( ord_less_eq_nat @ SY351 @ SY352 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY350 @ SX4 ) @ ( SY350 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SV38 @ ( SY350 @ SY352 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(583,plain,
( ( ! [SV39: extended_ereal] :
( ( ^ [SY355: extended_ereal] : ( SV39 = SY355 ) )
= ( ^ [SY356: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SY356 @ SV39 )
| ~ ( ord_le824540014_ereal @ SV39 @ SY356 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[515]) ).
thf(584,plain,
( ( ( ^ [SX0: extended_ereal,SX1: extended_ereal] : ( SX0 = SX1 ) )
= ( ^ [SX0: extended_ereal,SX1: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SX1 @ SX0 )
| ~ ( ord_le824540014_ereal @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[515]) ).
thf(585,plain,
! [SV40: extended_ereal] :
( ( ! [SY357: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV40 @ SY357 )
| ~ ( ord_le824540014_ereal @ SY357 @ SV40 )
| ( SY357 = SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(586,plain,
! [SV41: extended_ereal] :
( ( ! [SY358: extended_ereal,SY359: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV41 @ SY358 )
| ~ ( ord_le824540014_ereal @ SY358 @ SY359 )
| ( ord_le824540014_ereal @ SV41 @ SY359 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(587,plain,
! [SV42: extended_ereal] :
( ( ! [SY360: extended_ereal,SY361: extended_ereal > nat,SY362: nat] :
( ~ ( ord_le824540014_ereal @ SV42 @ SY360 )
| ( ( SY361 @ SY360 )
!= SY362 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SY361 @ SX4 ) @ ( SY361 @ SX5 ) ) )
| ( ord_less_eq_nat @ ( SY361 @ SV42 ) @ SY362 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(588,plain,
( ( ! [SV43: extended_ereal] :
( ( ^ [SY365: extended_ereal] : ( SV43 = SY365 ) )
= ( ^ [SY366: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SV43 @ SY366 )
| ~ ( ord_le824540014_ereal @ SY366 @ SV43 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[519]) ).
thf(589,plain,
( ( ( ^ [SX0: extended_ereal,SX1: extended_ereal] : ( SX0 = SX1 ) )
= ( ^ [SX0: extended_ereal,SX1: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SX0 @ SX1 )
| ~ ( ord_le824540014_ereal @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[519]) ).
thf(590,plain,
! [SV44: extended_ereal] :
( ( ! [SY367: extended_ereal,SY368: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV44 @ SY367 )
| ~ ( ord_le824540014_ereal @ SY367 @ SY368 )
| ( ord_le824540014_ereal @ SV44 @ SY368 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(591,plain,
! [SV45: extended_ereal] :
( ( ! [SY369: extended_ereal] :
( ~ ! [SY370: real] :
( ~ ( ord_le824540014_ereal @ SV45 @ ( extended_ereal2 @ SY370 ) )
| ( ord_le824540014_ereal @ SY369 @ ( extended_ereal2 @ SY370 ) ) )
| ( ord_le824540014_ereal @ SY369 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(592,plain,
! [SV46: extended_ereal > extended_ereal] :
( ( ! [SY371: extended_ereal,SY372: extended_ereal] :
( ~ ( order_1408494002_ereal @ SV46 )
| ~ ( ord_le824540014_ereal @ SY371 @ SY372 )
| ( ord_le824540014_ereal @ ( SV46 @ SY372 ) @ ( SV46 @ SY371 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(593,plain,
! [SV47: extended_ereal > $o] :
( ( ! [SY373: extended_ereal] :
( ~ ( SV47 @ SY373 )
| ~ ! [SY374: extended_ereal] :
( ~ ( SV47 @ SY374 )
| ( ord_le824540014_ereal @ SY374 @ SY373 ) )
| ( ( order_1158471719_ereal @ SV47 )
= SY373 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(594,plain,
! [SV48: extended_ereal] :
( ( ! [SY375: extended_ereal,SY376: extended_ereal > extended_enat,SY377: extended_enat] :
( ~ ( ord_le824540014_ereal @ SV48 @ SY375 )
| ( ( SY376 @ SY375 )
!= SY377 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le1863327750d_enat @ ( SY376 @ SX4 ) @ ( SY376 @ SX5 ) ) )
| ( ord_le1863327750d_enat @ ( SY376 @ SV48 ) @ SY377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(595,plain,
! [SV49: nat] :
( ( ! [SY380: extended_ereal > nat,SY381: extended_ereal,SY382: extended_ereal] :
( ( SV49
!= ( SY380 @ SY381 ) )
| ~ ( ord_le824540014_ereal @ SY381 @ SY382 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SY380 @ SX4 ) @ ( SY380 @ SX5 ) ) )
| ( ord_less_eq_nat @ SV49 @ ( SY380 @ SY382 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(596,plain,
! [SV50: extended_ereal] :
( ( ! [SY385: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV50 @ SY385 )
| ~ ( ord_le824540014_ereal @ SY385 @ SV50 )
| ( SV50 = SY385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(597,plain,
! [SV51: extended_ereal] :
( ( ! [SY386: extended_ereal] :
( ~ ( ( SV51 != extend1289208545_ereal ) )
| ~ ( ord_le824540014_ereal @ SY386 @ SV51 )
| ( SY386 != extend1289208545_ereal ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(598,plain,
! [SV52: extended_ereal] :
( ( ! [SY387: extended_ereal,SY388: extended_ereal > extended_ereal,SY389: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV52 @ SY387 )
| ~ ( ord_le824540014_ereal @ ( SY388 @ SY387 ) @ SY389 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY388 @ SX4 ) @ ( SY388 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SY388 @ SV52 ) @ SY389 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(599,plain,
! [SV53: extended_ereal] :
( ( ! [SY392: extended_ereal,SY393: extended_ereal] :
( ( SV53 != SY392 )
| ~ ( ord_le824540014_ereal @ SY392 @ SY393 )
| ( ord_le824540014_ereal @ SV53 @ SY393 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(600,plain,
! [SV54: extended_ereal] :
( ( ! [SY394: extended_ereal,SY395: extended_ereal > nat,SY396: nat] :
( ~ ( ord_le824540014_ereal @ SV54 @ SY394 )
| ~ ( ord_less_eq_nat @ ( SY395 @ SY394 ) @ SY396 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SY395 @ SX4 ) @ ( SY395 @ SX5 ) ) )
| ( ord_less_eq_nat @ ( SY395 @ SV54 ) @ SY396 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(601,plain,
! [SV55: extended_enat] :
( ( ! [SY399: extended_ereal > extended_enat,SY400: extended_ereal,SY401: extended_ereal] :
( ~ ( ord_le1863327750d_enat @ SV55 @ ( SY399 @ SY400 ) )
| ~ ( ord_le824540014_ereal @ SY400 @ SY401 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le1863327750d_enat @ ( SY399 @ SX4 ) @ ( SY399 @ SX5 ) ) )
| ( ord_le1863327750d_enat @ SV55 @ ( SY399 @ SY401 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(602,plain,
! [SV56: extended_ereal] :
( ( ! [SY404: extended_ereal,SY405: extended_ereal > extended_enat,SY406: extended_enat] :
( ~ ( ord_le824540014_ereal @ SV56 @ SY404 )
| ~ ( ord_le1863327750d_enat @ ( SY405 @ SY404 ) @ SY406 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le1863327750d_enat @ ( SY405 @ SX4 ) @ ( SY405 @ SX5 ) ) )
| ( ord_le1863327750d_enat @ ( SY405 @ SV56 ) @ SY406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(603,plain,
! [SV57: extended_enat] :
( ( ! [SY409: extended_enat,SY410: extended_enat > extended_ereal,SY411: extended_ereal] :
( ~ ( ord_le1863327750d_enat @ SV57 @ SY409 )
| ( ( SY410 @ SY409 )
!= SY411 )
| ~ ! [SX4: extended_enat,SX5: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY410 @ SX4 ) @ ( SY410 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SY410 @ SV57 ) @ SY411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(604,plain,
! [SV58: nat] :
( ( ! [SY414: nat,SY415: nat > extended_ereal,SY416: extended_ereal] :
( ~ ( ord_less_eq_nat @ SV58 @ SY414 )
| ~ ( ord_le824540014_ereal @ ( SY415 @ SY414 ) @ SY416 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY415 @ SX4 ) @ ( SY415 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SY415 @ SV58 ) @ SY416 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(605,plain,
! [SV59: extended_ereal] :
( ( ! [SY419: real > extended_ereal,SY420: real,SY421: real] :
( ~ ( ord_le824540014_ereal @ SV59 @ ( SY419 @ SY420 ) )
| ~ ( ord_less_eq_real @ SY420 @ SY421 )
| ~ ! [SX4: real,SX5: real] :
( ~ ( ord_less_eq_real @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY419 @ SX4 ) @ ( SY419 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SV59 @ ( SY419 @ SY421 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(606,plain,
! [SV60: set_Extended_ereal] :
( ( ~ ! [SY424: extended_ereal] :
~ ~ ( ~ ! [SY425: extended_ereal] :
( ~ ( member1900190071_ereal @ SY425 @ SV60 )
| ( ord_le824540014_ereal @ SY425 @ SY424 ) )
| ~ ! [SY426: extended_ereal] :
( ~ ! [SY427: extended_ereal] :
( ~ ( member1900190071_ereal @ SY427 @ SV60 )
| ( ord_le824540014_ereal @ SY427 @ SY426 ) )
| ( ord_le824540014_ereal @ SY424 @ SY426 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(607,plain,
! [SV61: extended_ereal] :
( ( ! [SY428: extended_ereal] :
( ~ ~ ( ord_le824540014_ereal @ SV61 @ SY428 )
| ( ord_le824540014_ereal @ SY428 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(608,plain,
! [SV62: extended_ereal] :
( ( ! [SY429: extended_ereal > extended_ereal,SY430: extended_ereal,SY431: extended_ereal] :
( ( SV62
!= ( SY429 @ SY430 ) )
| ~ ( ord_le824540014_ereal @ SY430 @ SY431 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY429 @ SX4 ) @ ( SY429 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SV62 @ ( SY429 @ SY431 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(609,plain,
! [SV63: extended_ereal] :
( ( ! [SY434: extended_ereal,SY435: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV63 @ SY434 )
| ( SY434 != SY435 )
| ( ord_le824540014_ereal @ SV63 @ SY435 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(610,plain,
! [SV64: extended_ereal] :
( ( ! [SY436: extended_enat > extended_ereal,SY437: extended_enat,SY438: extended_enat] :
( ~ ( ord_le824540014_ereal @ SV64 @ ( SY436 @ SY437 ) )
| ~ ( ord_le1863327750d_enat @ SY437 @ SY438 )
| ~ ! [SX4: extended_enat,SX5: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY436 @ SX4 ) @ ( SY436 @ SX5 ) ) )
| ( ord_le824540014_ereal @ SV64 @ ( SY436 @ SY438 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(611,plain,
! [SV65: extended_ereal,SV3: extended_ereal] :
( ( ( SV3 = SV65 )
| ~ ( ord_le824540014_ereal @ SV3 @ SV65 )
| ~ ( ord_le824540014_ereal @ SV65 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(612,plain,
! [SV66: a,SV4: a > extended_ereal] :
( ( ord_le824540014_ereal @ ( lower_881475195hull_a @ SV4 @ SV66 ) @ ( SV4 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(613,plain,
! [SV67: extended_ereal,SV6: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV6 @ SV67 )
| ( ord_le824540014_ereal @ SV67 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(614,plain,
! [SV7: extended_ereal] :
( ( ~ ( ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
| ( SV7 = extend1289208545_ereal ) )
| ~ ( ~ ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
| ( SV7 != extend1289208545_ereal ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[547]) ).
thf(615,plain,
! [SV7: extended_ereal] :
( ( ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
= ( SV7 = extend1289208545_ereal ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[547]) ).
thf(616,plain,
! [SV68: extended_ereal,SV9: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
= ( ord_le824540014_ereal @ SV68 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(617,plain,
! [SV69: extended_ereal,SV10: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
= ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(618,plain,
! [SV70: extended_ereal] :
( ( ( ^ [SY441: extended_ereal] : ( SV70 = SY441 ) )
= ( ^ [SY442: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SV70 @ SY442 )
| ~ ( ord_le824540014_ereal @ SY442 @ SV70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(619,plain,
! [SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ! [SY443: extended_ereal] :
( ~ ! [SY263: extended_ereal,SY264: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY263 @ SY264 )
| ( SV12 @ SY263 @ SY264 ) )
| ~ ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) )
| ( SV12 @ SV71 @ SY443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(620,plain,
! [SV72: extended_ereal > real,SV13: real] :
( ( ! [SY448: extended_ereal,SY449: extended_ereal] :
( ( SV13
!= ( SV72 @ SY448 ) )
| ~ ( ord_le824540014_ereal @ SY448 @ SY449 )
| ~ ! [SY450: extended_ereal,SY451: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY450 @ SY451 )
| ( ord_less_eq_real @ ( SV72 @ SY450 ) @ ( SV72 @ SY451 ) ) )
| ( ord_less_eq_real @ SV13 @ ( SV72 @ SY449 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(621,plain,
! [SV73: extended_ereal,SV14: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV14 @ SV73 )
| ( ( ord_le824540014_ereal @ SV73 @ SV14 )
= ( SV73 = SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(622,plain,
! [SV74: extended_ereal,SV15: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV15 @ SV74 )
| ~ ( ord_le824540014_ereal @ SV74 @ SV15 )
| ( SV15 = SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(623,plain,
! [SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ! [SY452: extended_ereal > $o] :
( ~ ( SV16 @ SV75 )
| ~ ! [SY453: extended_ereal] :
( ~ ( SV16 @ SY453 )
| ( ord_le824540014_ereal @ SY453 @ SV75 ) )
| ~ ! [SY277: extended_ereal] :
( ~ ( SV16 @ SY277 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY277 ) )
| ( SY452 @ SY277 ) )
| ( SY452 @ ( order_1158471719_ereal @ SV16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(624,plain,
! [SV76: $o > extended_ereal] :
( ( ( ord_le637473275_ereal @ SV76 )
= ( ^ [SY456: $o > extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SY456 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SY456 @ $true ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(625,plain,
! [SV77: extended_ereal,SV18: extended_ereal] :
( ( ( SV18 != SV77 )
| ( ord_le824540014_ereal @ SV18 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(626,plain,
! [SV78: extended_ereal,SV19: extended_ereal] :
( ( ! [SY457: extended_ereal > extended_ereal,SY458: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV19 @ SV78 )
| ( ( SY457 @ SV78 )
!= SY458 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY457 @ SX4 ) @ ( SY457 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SY457 @ SV19 ) @ SY458 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(627,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( order_1408494002_ereal @ SV79 )
= ( ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(628,plain,
! [SV80: nat,SV21: nat] :
( ( ! [SY463: nat > extended_ereal,SY464: extended_ereal] :
( ~ ( ord_less_eq_nat @ SV21 @ SV80 )
| ( ( SY463 @ SV80 )
!= SY464 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY463 @ SX4 ) @ ( SY463 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SY463 @ SV21 ) @ SY464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(629,plain,
! [SV81: extended_enat > extended_ereal,SV22: extended_ereal] :
( ( ! [SY467: extended_enat,SY468: extended_enat] :
( ( SV22
!= ( SV81 @ SY467 ) )
| ~ ( ord_le1863327750d_enat @ SY467 @ SY468 )
| ~ ! [SY469: extended_enat,SY470: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY469 @ SY470 )
| ( ord_le824540014_ereal @ ( SV81 @ SY469 ) @ ( SV81 @ SY470 ) ) )
| ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SY468 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(630,plain,
! [SV82: extended_enat,SV23: extended_enat] :
( ( ! [SY471: extended_enat > extended_ereal,SY472: extended_ereal] :
( ~ ( ord_le1863327750d_enat @ SV23 @ SV82 )
| ~ ( ord_le824540014_ereal @ ( SY471 @ SV82 ) @ SY472 )
| ~ ! [SX4: extended_enat,SX5: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY471 @ SX4 ) @ ( SY471 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SY471 @ SV23 ) @ SY472 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(631,plain,
! [SV83: extended_ereal,SV24: extended_ereal > extended_ereal] :
( ( ! [SY475: extended_ereal] :
( ~ ( order_555877177_ereal @ SV24 )
| ~ ( ord_le824540014_ereal @ SV83 @ SY475 )
| ( ord_le824540014_ereal @ ( SV24 @ SV83 ) @ ( SV24 @ SY475 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(632,plain,
! [SV25: set_Extended_ereal] :
( ( ! [SY305: extended_ereal] :
~ ~ ( ~ ! [SY306: extended_ereal] :
( ~ ( member1900190071_ereal @ SY306 @ SV25 )
| ( ord_le824540014_ereal @ SY305 @ SY306 ) )
| ~ ! [SY307: extended_ereal] :
( ~ ! [SY308: extended_ereal] :
( ~ ( member1900190071_ereal @ SY308 @ SV25 )
| ( ord_le824540014_ereal @ SY307 @ SY308 ) )
| ( ord_le824540014_ereal @ SY307 @ SY305 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(633,plain,
! [SV84: extended_ereal > extended_enat,SV26: extended_enat] :
( ( ! [SY476: extended_ereal,SY477: extended_ereal] :
( ( SV26
!= ( SV84 @ SY476 ) )
| ~ ( ord_le824540014_ereal @ SY476 @ SY477 )
| ~ ! [SY478: extended_ereal,SY479: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY478 @ SY479 )
| ( ord_le1863327750d_enat @ ( SV84 @ SY478 ) @ ( SV84 @ SY479 ) ) )
| ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SY477 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(634,plain,
! [SV85: extended_ereal,SV27: extended_ereal] :
( ( ! [SY480: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV27 @ SV85 )
| ~ ( ord_le824540014_ereal @ SY480 @ SV27 )
| ( ord_le824540014_ereal @ SY480 @ SV85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(635,plain,
! [SV86: extended_ereal,SV28: extended_ereal] :
( ( ! [SY481: extended_ereal] :
( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SY481 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SY481 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SY481 )
| ~ ( ord_le824540014_ereal @ SY481 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SY481 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SY481 )
| ~ ( ord_le824540014_ereal @ SY481 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SY481 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(636,plain,
! [SV87: extended_ereal,SV29: extended_ereal] :
( ( ! [SY482: extended_ereal > real,SY483: real] :
( ~ ( ord_le824540014_ereal @ SV29 @ SV87 )
| ~ ( ord_less_eq_real @ ( SY482 @ SV87 ) @ SY483 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SY482 @ SX4 ) @ ( SY482 @ SX5 ) ) )
| ( ord_less_eq_real @ ( SY482 @ SV29 ) @ SY483 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(637,plain,
! [SV88: extended_ereal,SV30: extended_ereal] :
( ( ! [SY486: extended_ereal > real,SY487: real] :
( ~ ( ord_le824540014_ereal @ SV30 @ SV88 )
| ( ( SY486 @ SV88 )
!= SY487 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_real @ ( SY486 @ SX4 ) @ ( SY486 @ SX5 ) ) )
| ( ord_less_eq_real @ ( SY486 @ SV30 ) @ SY487 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(638,plain,
! [SV31: extended_ereal > extended_ereal] :
( ( ( ~ ! [SY328: extended_ereal,SY329: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY328 @ SY329 )
| ( ord_le824540014_ereal @ ( SV31 @ SY329 ) @ ( SV31 @ SY328 ) ) ) )
= $true )
| ( ( order_1408494002_ereal @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(639,plain,
! [SV89: extended_ereal,SV32: extended_ereal > extended_ereal] :
( ( ! [SY490: extended_ereal] :
( ~ ( order_1408494002_ereal @ SV32 )
| ~ ( ord_le824540014_ereal @ SV89 @ SY490 )
| ( ord_le824540014_ereal @ ( SV32 @ SY490 ) @ ( SV32 @ SV89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(640,plain,
! [SV90: extended_ereal > nat,SV33: nat] :
( ( ! [SY491: extended_ereal,SY492: extended_ereal] :
( ~ ( ord_less_eq_nat @ SV33 @ ( SV90 @ SY491 ) )
| ~ ( ord_le824540014_ereal @ SY491 @ SY492 )
| ~ ! [SY493: extended_ereal,SY494: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY493 @ SY494 )
| ( ord_less_eq_nat @ ( SV90 @ SY493 ) @ ( SV90 @ SY494 ) ) )
| ( ord_less_eq_nat @ SV33 @ ( SV90 @ SY492 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(641,plain,
! [SV91: extended_ereal > extended_ereal,SV34: extended_ereal] :
( ( ! [SY495: extended_ereal,SY496: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SY495 ) )
| ~ ( ord_le824540014_ereal @ SY495 @ SY496 )
| ~ ! [SY497: extended_ereal,SY498: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY497 @ SY498 )
| ( ord_le824540014_ereal @ ( SV91 @ SY497 ) @ ( SV91 @ SY498 ) ) )
| ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SY496 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(642,plain,
! [SV92: extended_ereal,SV35: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV35 @ SV92 )
| ( SV35 != extend1289208545_ereal )
| ( SV92 = extend1289208545_ereal ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(643,plain,
! [SV93: nat > extended_ereal,SV36: extended_ereal] :
( ( ! [SY499: nat,SY500: nat] :
( ~ ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SY499 ) )
| ~ ( ord_less_eq_nat @ SY499 @ SY500 )
| ~ ! [SY501: nat,SY502: nat] :
( ~ ( ord_less_eq_nat @ SY501 @ SY502 )
| ( ord_le824540014_ereal @ ( SV93 @ SY501 ) @ ( SV93 @ SY502 ) ) )
| ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SY500 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(644,plain,
! [SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ! [SY503: extended_ereal] :
( ~ ( order_555877177_ereal @ SV37 )
| ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SY503 ) )
= ( ord_le824540014_ereal @ SV94 @ SY503 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(645,plain,
! [SV95: nat > extended_ereal,SV38: extended_ereal] :
( ( ! [SY504: nat,SY505: nat] :
( ( SV38
!= ( SV95 @ SY504 ) )
| ~ ( ord_less_eq_nat @ SY504 @ SY505 )
| ~ ! [SY506: nat,SY507: nat] :
( ~ ( ord_less_eq_nat @ SY506 @ SY507 )
| ( ord_le824540014_ereal @ ( SV95 @ SY506 ) @ ( SV95 @ SY507 ) ) )
| ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SY505 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(646,plain,
! [SV96: extended_ereal] :
( ( ( ^ [SY508: extended_ereal] : ( SV96 = SY508 ) )
= ( ^ [SY509: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SY509 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SY509 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(647,plain,
! [SV97: extended_ereal,SV40: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV40 @ SV97 )
| ~ ( ord_le824540014_ereal @ SV97 @ SV40 )
| ( SV97 = SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(648,plain,
! [SV98: extended_ereal,SV41: extended_ereal] :
( ( ! [SY510: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV41 @ SV98 )
| ~ ( ord_le824540014_ereal @ SV98 @ SY510 )
| ( ord_le824540014_ereal @ SV41 @ SY510 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(649,plain,
! [SV99: extended_ereal,SV42: extended_ereal] :
( ( ! [SY511: extended_ereal > nat,SY512: nat] :
( ~ ( ord_le824540014_ereal @ SV42 @ SV99 )
| ( ( SY511 @ SV99 )
!= SY512 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SY511 @ SX4 ) @ ( SY511 @ SX5 ) ) )
| ( ord_less_eq_nat @ ( SY511 @ SV42 ) @ SY512 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(650,plain,
! [SV100: extended_ereal] :
( ( ( ^ [SY515: extended_ereal] : ( SV100 = SY515 ) )
= ( ^ [SY516: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SV100 @ SY516 )
| ~ ( ord_le824540014_ereal @ SY516 @ SV100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(651,plain,
! [SV101: extended_ereal,SV44: extended_ereal] :
( ( ! [SY517: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV44 @ SV101 )
| ~ ( ord_le824540014_ereal @ SV101 @ SY517 )
| ( ord_le824540014_ereal @ SV44 @ SY517 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(652,plain,
! [SV102: extended_ereal,SV45: extended_ereal] :
( ( ~ ! [SY518: real] :
( ~ ( ord_le824540014_ereal @ SV45 @ ( extended_ereal2 @ SY518 ) )
| ( ord_le824540014_ereal @ SV102 @ ( extended_ereal2 @ SY518 ) ) )
| ( ord_le824540014_ereal @ SV102 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(653,plain,
! [SV103: extended_ereal,SV46: extended_ereal > extended_ereal] :
( ( ! [SY519: extended_ereal] :
( ~ ( order_1408494002_ereal @ SV46 )
| ~ ( ord_le824540014_ereal @ SV103 @ SY519 )
| ( ord_le824540014_ereal @ ( SV46 @ SY519 ) @ ( SV46 @ SV103 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(654,plain,
! [SV104: extended_ereal,SV47: extended_ereal > $o] :
( ( ~ ( SV47 @ SV104 )
| ~ ! [SY520: extended_ereal] :
( ~ ( SV47 @ SY520 )
| ( ord_le824540014_ereal @ SY520 @ SV104 ) )
| ( ( order_1158471719_ereal @ SV47 )
= SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(655,plain,
! [SV105: extended_ereal,SV48: extended_ereal] :
( ( ! [SY521: extended_ereal > extended_enat,SY522: extended_enat] :
( ~ ( ord_le824540014_ereal @ SV48 @ SV105 )
| ( ( SY521 @ SV105 )
!= SY522 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le1863327750d_enat @ ( SY521 @ SX4 ) @ ( SY521 @ SX5 ) ) )
| ( ord_le1863327750d_enat @ ( SY521 @ SV48 ) @ SY522 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(656,plain,
! [SV106: extended_ereal > nat,SV49: nat] :
( ( ! [SY525: extended_ereal,SY526: extended_ereal] :
( ( SV49
!= ( SV106 @ SY525 ) )
| ~ ( ord_le824540014_ereal @ SY525 @ SY526 )
| ~ ! [SY527: extended_ereal,SY528: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY527 @ SY528 )
| ( ord_less_eq_nat @ ( SV106 @ SY527 ) @ ( SV106 @ SY528 ) ) )
| ( ord_less_eq_nat @ SV49 @ ( SV106 @ SY526 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(657,plain,
! [SV107: extended_ereal,SV50: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV50 @ SV107 )
| ~ ( ord_le824540014_ereal @ SV107 @ SV50 )
| ( SV50 = SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(658,plain,
! [SV108: extended_ereal,SV51: extended_ereal] :
( ( ~ ( ( SV51 != extend1289208545_ereal ) )
| ~ ( ord_le824540014_ereal @ SV108 @ SV51 )
| ( SV108 != extend1289208545_ereal ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(659,plain,
! [SV109: extended_ereal,SV52: extended_ereal] :
( ( ! [SY529: extended_ereal > extended_ereal,SY530: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV52 @ SV109 )
| ~ ( ord_le824540014_ereal @ ( SY529 @ SV109 ) @ SY530 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY529 @ SX4 ) @ ( SY529 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SY529 @ SV52 ) @ SY530 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(660,plain,
! [SV110: extended_ereal,SV53: extended_ereal] :
( ( ! [SY533: extended_ereal] :
( ( SV53 != SV110 )
| ~ ( ord_le824540014_ereal @ SV110 @ SY533 )
| ( ord_le824540014_ereal @ SV53 @ SY533 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(661,plain,
! [SV111: extended_ereal,SV54: extended_ereal] :
( ( ! [SY534: extended_ereal > nat,SY535: nat] :
( ~ ( ord_le824540014_ereal @ SV54 @ SV111 )
| ~ ( ord_less_eq_nat @ ( SY534 @ SV111 ) @ SY535 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SY534 @ SX4 ) @ ( SY534 @ SX5 ) ) )
| ( ord_less_eq_nat @ ( SY534 @ SV54 ) @ SY535 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(662,plain,
! [SV112: extended_ereal > extended_enat,SV55: extended_enat] :
( ( ! [SY538: extended_ereal,SY539: extended_ereal] :
( ~ ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SY538 ) )
| ~ ( ord_le824540014_ereal @ SY538 @ SY539 )
| ~ ! [SY540: extended_ereal,SY541: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY540 @ SY541 )
| ( ord_le1863327750d_enat @ ( SV112 @ SY540 ) @ ( SV112 @ SY541 ) ) )
| ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SY539 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(663,plain,
! [SV113: extended_ereal,SV56: extended_ereal] :
( ( ! [SY542: extended_ereal > extended_enat,SY543: extended_enat] :
( ~ ( ord_le824540014_ereal @ SV56 @ SV113 )
| ~ ( ord_le1863327750d_enat @ ( SY542 @ SV113 ) @ SY543 )
| ~ ! [SX4: extended_ereal,SX5: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SX4 @ SX5 )
| ( ord_le1863327750d_enat @ ( SY542 @ SX4 ) @ ( SY542 @ SX5 ) ) )
| ( ord_le1863327750d_enat @ ( SY542 @ SV56 ) @ SY543 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(664,plain,
! [SV114: extended_enat,SV57: extended_enat] :
( ( ! [SY546: extended_enat > extended_ereal,SY547: extended_ereal] :
( ~ ( ord_le1863327750d_enat @ SV57 @ SV114 )
| ( ( SY546 @ SV114 )
!= SY547 )
| ~ ! [SX4: extended_enat,SX5: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY546 @ SX4 ) @ ( SY546 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SY546 @ SV57 ) @ SY547 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(665,plain,
! [SV115: nat,SV58: nat] :
( ( ! [SY550: nat > extended_ereal,SY551: extended_ereal] :
( ~ ( ord_less_eq_nat @ SV58 @ SV115 )
| ~ ( ord_le824540014_ereal @ ( SY550 @ SV115 ) @ SY551 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le824540014_ereal @ ( SY550 @ SX4 ) @ ( SY550 @ SX5 ) ) )
| ( ord_le824540014_ereal @ ( SY550 @ SV58 ) @ SY551 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(666,plain,
! [SV116: real > extended_ereal,SV59: extended_ereal] :
( ( ! [SY554: real,SY555: real] :
( ~ ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SY554 ) )
| ~ ( ord_less_eq_real @ SY554 @ SY555 )
| ~ ! [SY556: real,SY557: real] :
( ~ ( ord_less_eq_real @ SY556 @ SY557 )
| ( ord_le824540014_ereal @ ( SV116 @ SY556 ) @ ( SV116 @ SY557 ) ) )
| ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SY555 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(667,plain,
! [SV60: set_Extended_ereal] :
( ( ! [SY424: extended_ereal] :
~ ~ ( ~ ! [SY425: extended_ereal] :
( ~ ( member1900190071_ereal @ SY425 @ SV60 )
| ( ord_le824540014_ereal @ SY425 @ SY424 ) )
| ~ ! [SY426: extended_ereal] :
( ~ ! [SY427: extended_ereal] :
( ~ ( member1900190071_ereal @ SY427 @ SV60 )
| ( ord_le824540014_ereal @ SY427 @ SY426 ) )
| ( ord_le824540014_ereal @ SY424 @ SY426 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(668,plain,
! [SV117: extended_ereal,SV61: extended_ereal] :
( ( ~ ~ ( ord_le824540014_ereal @ SV61 @ SV117 )
| ( ord_le824540014_ereal @ SV117 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(669,plain,
! [SV118: extended_ereal > extended_ereal,SV62: extended_ereal] :
( ( ! [SY558: extended_ereal,SY559: extended_ereal] :
( ( SV62
!= ( SV118 @ SY558 ) )
| ~ ( ord_le824540014_ereal @ SY558 @ SY559 )
| ~ ! [SY560: extended_ereal,SY561: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY560 @ SY561 )
| ( ord_le824540014_ereal @ ( SV118 @ SY560 ) @ ( SV118 @ SY561 ) ) )
| ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SY559 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(670,plain,
! [SV119: extended_ereal,SV63: extended_ereal] :
( ( ! [SY562: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV63 @ SV119 )
| ( SV119 != SY562 )
| ( ord_le824540014_ereal @ SV63 @ SY562 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(671,plain,
! [SV120: extended_enat > extended_ereal,SV64: extended_ereal] :
( ( ! [SY563: extended_enat,SY564: extended_enat] :
( ~ ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SY563 ) )
| ~ ( ord_le1863327750d_enat @ SY563 @ SY564 )
| ~ ! [SY565: extended_enat,SY566: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY565 @ SY566 )
| ( ord_le824540014_ereal @ ( SV120 @ SY565 ) @ ( SV120 @ SY566 ) ) )
| ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SY564 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(672,plain,
! [SV65: extended_ereal,SV3: extended_ereal] :
( ( ( ( SV3 = SV65 )
| ~ ( ord_le824540014_ereal @ SV3 @ SV65 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV65 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(673,plain,
! [SV67: extended_ereal,SV6: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV6 @ SV67 )
= $true )
| ( ( ord_le824540014_ereal @ SV67 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(674,plain,
! [SV7: extended_ereal] :
( ( ( ~ ( ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
| ( SV7 = extend1289208545_ereal ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
| ( SV7 != extend1289208545_ereal ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(675,plain,
! [SV68: extended_ereal,SV9: extended_ereal] :
( ( ~ ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
| ( ord_le824540014_ereal @ SV68 @ SV9 ) )
| ~ ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
| ~ ( ord_le824540014_ereal @ SV68 @ SV9 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[616]) ).
thf(676,plain,
! [SV68: extended_ereal,SV9: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
= ( ord_le824540014_ereal @ SV68 @ SV9 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[616]) ).
thf(677,plain,
! [SV69: extended_ereal,SV10: extended_ereal] :
( ( ~ ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
| ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) )
| ~ ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
| ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(678,plain,
! [SV69: extended_ereal,SV10: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
= ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(679,plain,
! [SV70: extended_ereal] :
( ( ! [SV121: extended_ereal] :
( ( SV70 = SV121 )
= ( ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV121 )
| ~ ( ord_le824540014_ereal @ SV121 @ SV70 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[618]) ).
thf(680,plain,
! [SV70: extended_ereal] :
( ( ( ^ [SY441: extended_ereal] : ( SV70 = SY441 ) )
= ( ^ [SY442: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SV70 @ SY442 )
| ~ ( ord_le824540014_ereal @ SY442 @ SV70 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[618]) ).
thf(681,plain,
! [SV122: extended_ereal,SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ~ ! [SY263: extended_ereal,SY264: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY263 @ SY264 )
| ( SV12 @ SY263 @ SY264 ) )
| ~ ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) )
| ( SV12 @ SV71 @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(682,plain,
! [SV123: extended_ereal,SV72: extended_ereal > real,SV13: real] :
( ( ! [SY571: extended_ereal] :
( ( SV13
!= ( SV72 @ SV123 ) )
| ~ ( ord_le824540014_ereal @ SV123 @ SY571 )
| ~ ! [SY450: extended_ereal,SY451: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY450 @ SY451 )
| ( ord_less_eq_real @ ( SV72 @ SY450 ) @ ( SV72 @ SY451 ) ) )
| ( ord_less_eq_real @ SV13 @ ( SV72 @ SY571 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(683,plain,
! [SV73: extended_ereal,SV14: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV14 @ SV73 ) )
= $true )
| ( ( ( ord_le824540014_ereal @ SV73 @ SV14 )
= ( SV73 = SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(684,plain,
! [SV74: extended_ereal,SV15: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV15 @ SV74 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV74 @ SV15 )
| ( SV15 = SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(685,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ~ ( SV16 @ SV75 )
| ~ ! [SY453: extended_ereal] :
( ~ ( SV16 @ SY453 )
| ( ord_le824540014_ereal @ SY453 @ SV75 ) )
| ~ ! [SY575: extended_ereal] :
( ~ ( SV16 @ SY575 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY575 ) )
| ( SV124 @ SY575 ) )
| ( SV124 @ ( order_1158471719_ereal @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(686,plain,
! [SV76: $o > extended_ereal] :
( ( ! [SV125: $o > extended_ereal] :
( ( ord_le637473275_ereal @ SV76 @ SV125 )
= ( ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV125 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV125 @ $true ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[624]) ).
thf(687,plain,
! [SV76: $o > extended_ereal] :
( ( ( ord_le637473275_ereal @ SV76 )
= ( ^ [SY456: $o > extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SY456 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SY456 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[624]) ).
thf(688,plain,
! [SV77: extended_ereal,SV18: extended_ereal] :
( ( ( SV18 != SV77 )
= $true )
| ( ( ord_le824540014_ereal @ SV18 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(689,plain,
! [SV126: extended_ereal > extended_ereal,SV78: extended_ereal,SV19: extended_ereal] :
( ( ! [SY577: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV19 @ SV78 )
| ( ( SV126 @ SV78 )
!= SY577 )
| ~ ! [SY578: extended_ereal,SY579: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY578 @ SY579 )
| ( ord_le824540014_ereal @ ( SV126 @ SY578 ) @ ( SV126 @ SY579 ) ) )
| ( ord_le824540014_ereal @ ( SV126 @ SV19 ) @ SY577 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(690,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ~ ( ( order_1408494002_ereal @ SV79 )
| ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) )
| ~ ( ~ ( order_1408494002_ereal @ SV79 )
| ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[627]) ).
thf(691,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( order_1408494002_ereal @ SV79 )
= ( ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[627]) ).
thf(692,plain,
! [SV127: nat > extended_ereal,SV80: nat,SV21: nat] :
( ( ! [SY580: extended_ereal] :
( ~ ( ord_less_eq_nat @ SV21 @ SV80 )
| ( ( SV127 @ SV80 )
!= SY580 )
| ~ ! [SY581: nat,SY582: nat] :
( ~ ( ord_less_eq_nat @ SY581 @ SY582 )
| ( ord_le824540014_ereal @ ( SV127 @ SY581 ) @ ( SV127 @ SY582 ) ) )
| ( ord_le824540014_ereal @ ( SV127 @ SV21 ) @ SY580 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(693,plain,
! [SV128: extended_enat,SV81: extended_enat > extended_ereal,SV22: extended_ereal] :
( ( ! [SY583: extended_enat] :
( ( SV22
!= ( SV81 @ SV128 ) )
| ~ ( ord_le1863327750d_enat @ SV128 @ SY583 )
| ~ ! [SY469: extended_enat,SY470: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY469 @ SY470 )
| ( ord_le824540014_ereal @ ( SV81 @ SY469 ) @ ( SV81 @ SY470 ) ) )
| ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SY583 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(694,plain,
! [SV129: extended_enat > extended_ereal,SV82: extended_enat,SV23: extended_enat] :
( ( ! [SY586: extended_ereal] :
( ~ ( ord_le1863327750d_enat @ SV23 @ SV82 )
| ~ ( ord_le824540014_ereal @ ( SV129 @ SV82 ) @ SY586 )
| ~ ! [SY587: extended_enat,SY588: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY587 @ SY588 )
| ( ord_le824540014_ereal @ ( SV129 @ SY587 ) @ ( SV129 @ SY588 ) ) )
| ( ord_le824540014_ereal @ ( SV129 @ SV23 ) @ SY586 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(695,plain,
! [SV130: extended_ereal,SV83: extended_ereal,SV24: extended_ereal > extended_ereal] :
( ( ~ ( order_555877177_ereal @ SV24 )
| ~ ( ord_le824540014_ereal @ SV83 @ SV130 )
| ( ord_le824540014_ereal @ ( SV24 @ SV83 ) @ ( SV24 @ SV130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(696,plain,
! [SV25: set_Extended_ereal] :
( ( ~ ~ ( ~ ! [SY589: extended_ereal] :
( ~ ( member1900190071_ereal @ SY589 @ SV25 )
| ( ord_le824540014_ereal @ ( sK1_SY305 @ SV25 ) @ SY589 ) )
| ~ ! [SY590: extended_ereal] :
( ~ ! [SY308: extended_ereal] :
( ~ ( member1900190071_ereal @ SY308 @ SV25 )
| ( ord_le824540014_ereal @ SY590 @ SY308 ) )
| ( ord_le824540014_ereal @ SY590 @ ( sK1_SY305 @ SV25 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[632]) ).
thf(697,plain,
! [SV131: extended_ereal,SV84: extended_ereal > extended_enat,SV26: extended_enat] :
( ( ! [SY592: extended_ereal] :
( ( SV26
!= ( SV84 @ SV131 ) )
| ~ ( ord_le824540014_ereal @ SV131 @ SY592 )
| ~ ! [SY478: extended_ereal,SY479: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY478 @ SY479 )
| ( ord_le1863327750d_enat @ ( SV84 @ SY478 ) @ ( SV84 @ SY479 ) ) )
| ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SY592 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(698,plain,
! [SV132: extended_ereal,SV85: extended_ereal,SV27: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV27 @ SV85 )
| ~ ( ord_le824540014_ereal @ SV132 @ SV27 )
| ( ord_le824540014_ereal @ SV132 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(699,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(700,plain,
! [SV134: extended_ereal > real,SV87: extended_ereal,SV29: extended_ereal] :
( ( ! [SY595: real] :
( ~ ( ord_le824540014_ereal @ SV29 @ SV87 )
| ~ ( ord_less_eq_real @ ( SV134 @ SV87 ) @ SY595 )
| ~ ! [SY596: extended_ereal,SY597: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY596 @ SY597 )
| ( ord_less_eq_real @ ( SV134 @ SY596 ) @ ( SV134 @ SY597 ) ) )
| ( ord_less_eq_real @ ( SV134 @ SV29 ) @ SY595 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(701,plain,
! [SV135: extended_ereal > real,SV88: extended_ereal,SV30: extended_ereal] :
( ( ! [SY598: real] :
( ~ ( ord_le824540014_ereal @ SV30 @ SV88 )
| ( ( SV135 @ SV88 )
!= SY598 )
| ~ ! [SY599: extended_ereal,SY600: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY599 @ SY600 )
| ( ord_less_eq_real @ ( SV135 @ SY599 ) @ ( SV135 @ SY600 ) ) )
| ( ord_less_eq_real @ ( SV135 @ SV30 ) @ SY598 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(702,plain,
! [SV31: extended_ereal > extended_ereal] :
( ( ( ! [SY328: extended_ereal,SY329: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY328 @ SY329 )
| ( ord_le824540014_ereal @ ( SV31 @ SY329 ) @ ( SV31 @ SY328 ) ) ) )
= $false )
| ( ( order_1408494002_ereal @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(703,plain,
! [SV136: extended_ereal,SV89: extended_ereal,SV32: extended_ereal > extended_ereal] :
( ( ~ ( order_1408494002_ereal @ SV32 )
| ~ ( ord_le824540014_ereal @ SV89 @ SV136 )
| ( ord_le824540014_ereal @ ( SV32 @ SV136 ) @ ( SV32 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(704,plain,
! [SV137: extended_ereal,SV90: extended_ereal > nat,SV33: nat] :
( ( ! [SY601: extended_ereal] :
( ~ ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV137 ) )
| ~ ( ord_le824540014_ereal @ SV137 @ SY601 )
| ~ ! [SY493: extended_ereal,SY494: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY493 @ SY494 )
| ( ord_less_eq_nat @ ( SV90 @ SY493 ) @ ( SV90 @ SY494 ) ) )
| ( ord_less_eq_nat @ SV33 @ ( SV90 @ SY601 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(705,plain,
! [SV138: extended_ereal,SV91: extended_ereal > extended_ereal,SV34: extended_ereal] :
( ( ! [SY604: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV138 ) )
| ~ ( ord_le824540014_ereal @ SV138 @ SY604 )
| ~ ! [SY497: extended_ereal,SY498: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY497 @ SY498 )
| ( ord_le824540014_ereal @ ( SV91 @ SY497 ) @ ( SV91 @ SY498 ) ) )
| ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SY604 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(706,plain,
! [SV92: extended_ereal,SV35: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV35 @ SV92 ) )
= $true )
| ( ( ( SV35 != extend1289208545_ereal )
| ( SV92 = extend1289208545_ereal ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(707,plain,
! [SV139: nat,SV93: nat > extended_ereal,SV36: extended_ereal] :
( ( ! [SY607: nat] :
( ~ ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV139 ) )
| ~ ( ord_less_eq_nat @ SV139 @ SY607 )
| ~ ! [SY501: nat,SY502: nat] :
( ~ ( ord_less_eq_nat @ SY501 @ SY502 )
| ( ord_le824540014_ereal @ ( SV93 @ SY501 ) @ ( SV93 @ SY502 ) ) )
| ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SY607 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(708,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ~ ( order_555877177_ereal @ SV37 )
| ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
= ( ord_le824540014_ereal @ SV94 @ SV140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(709,plain,
! [SV141: nat,SV95: nat > extended_ereal,SV38: extended_ereal] :
( ( ! [SY610: nat] :
( ( SV38
!= ( SV95 @ SV141 ) )
| ~ ( ord_less_eq_nat @ SV141 @ SY610 )
| ~ ! [SY506: nat,SY507: nat] :
( ~ ( ord_less_eq_nat @ SY506 @ SY507 )
| ( ord_le824540014_ereal @ ( SV95 @ SY506 ) @ ( SV95 @ SY507 ) ) )
| ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SY610 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(710,plain,
! [SV96: extended_ereal] :
( ( ! [SV142: extended_ereal] :
( ( SV96 = SV142 )
= ( ~ ( ~ ( ord_le824540014_ereal @ SV142 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV142 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[646]) ).
thf(711,plain,
! [SV96: extended_ereal] :
( ( ( ^ [SY508: extended_ereal] : ( SV96 = SY508 ) )
= ( ^ [SY509: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SY509 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SY509 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[646]) ).
thf(712,plain,
! [SV97: extended_ereal,SV40: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV40 @ SV97 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV97 @ SV40 )
| ( SV97 = SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(713,plain,
! [SV143: extended_ereal,SV98: extended_ereal,SV41: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV41 @ SV98 )
| ~ ( ord_le824540014_ereal @ SV98 @ SV143 )
| ( ord_le824540014_ereal @ SV41 @ SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(714,plain,
! [SV144: extended_ereal > nat,SV99: extended_ereal,SV42: extended_ereal] :
( ( ! [SY613: nat] :
( ~ ( ord_le824540014_ereal @ SV42 @ SV99 )
| ( ( SV144 @ SV99 )
!= SY613 )
| ~ ! [SY614: extended_ereal,SY615: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY614 @ SY615 )
| ( ord_less_eq_nat @ ( SV144 @ SY614 ) @ ( SV144 @ SY615 ) ) )
| ( ord_less_eq_nat @ ( SV144 @ SV42 ) @ SY613 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(715,plain,
! [SV100: extended_ereal] :
( ( ! [SV145: extended_ereal] :
( ( SV100 = SV145 )
= ( ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV145 )
| ~ ( ord_le824540014_ereal @ SV145 @ SV100 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[650]) ).
thf(716,plain,
! [SV100: extended_ereal] :
( ( ( ^ [SY515: extended_ereal] : ( SV100 = SY515 ) )
= ( ^ [SY516: extended_ereal] :
~ ( ~ ( ord_le824540014_ereal @ SV100 @ SY516 )
| ~ ( ord_le824540014_ereal @ SY516 @ SV100 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[650]) ).
thf(717,plain,
! [SV146: extended_ereal,SV101: extended_ereal,SV44: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV44 @ SV101 )
| ~ ( ord_le824540014_ereal @ SV101 @ SV146 )
| ( ord_le824540014_ereal @ SV44 @ SV146 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(718,plain,
! [SV102: extended_ereal,SV45: extended_ereal] :
( ( ( ~ ! [SY518: real] :
( ~ ( ord_le824540014_ereal @ SV45 @ ( extended_ereal2 @ SY518 ) )
| ( ord_le824540014_ereal @ SV102 @ ( extended_ereal2 @ SY518 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV102 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(719,plain,
! [SV147: extended_ereal,SV103: extended_ereal,SV46: extended_ereal > extended_ereal] :
( ( ~ ( order_1408494002_ereal @ SV46 )
| ~ ( ord_le824540014_ereal @ SV103 @ SV147 )
| ( ord_le824540014_ereal @ ( SV46 @ SV147 ) @ ( SV46 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(720,plain,
! [SV104: extended_ereal,SV47: extended_ereal > $o] :
( ( ( ~ ( SV47 @ SV104 ) )
= $true )
| ( ( ~ ! [SY520: extended_ereal] :
( ~ ( SV47 @ SY520 )
| ( ord_le824540014_ereal @ SY520 @ SV104 ) )
| ( ( order_1158471719_ereal @ SV47 )
= SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(721,plain,
! [SV148: extended_ereal > extended_enat,SV105: extended_ereal,SV48: extended_ereal] :
( ( ! [SY616: extended_enat] :
( ~ ( ord_le824540014_ereal @ SV48 @ SV105 )
| ( ( SV148 @ SV105 )
!= SY616 )
| ~ ! [SY617: extended_ereal,SY618: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY617 @ SY618 )
| ( ord_le1863327750d_enat @ ( SV148 @ SY617 ) @ ( SV148 @ SY618 ) ) )
| ( ord_le1863327750d_enat @ ( SV148 @ SV48 ) @ SY616 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(722,plain,
! [SV149: extended_ereal,SV106: extended_ereal > nat,SV49: nat] :
( ( ! [SY619: extended_ereal] :
( ( SV49
!= ( SV106 @ SV149 ) )
| ~ ( ord_le824540014_ereal @ SV149 @ SY619 )
| ~ ! [SY527: extended_ereal,SY528: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY527 @ SY528 )
| ( ord_less_eq_nat @ ( SV106 @ SY527 ) @ ( SV106 @ SY528 ) ) )
| ( ord_less_eq_nat @ SV49 @ ( SV106 @ SY619 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(723,plain,
! [SV107: extended_ereal,SV50: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV50 @ SV107 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV107 @ SV50 )
| ( SV50 = SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(724,plain,
! [SV108: extended_ereal,SV51: extended_ereal] :
( ( ( ~ ( ( SV51 != extend1289208545_ereal ) ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV108 @ SV51 )
| ( SV108 != extend1289208545_ereal ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(725,plain,
! [SV150: extended_ereal > extended_ereal,SV109: extended_ereal,SV52: extended_ereal] :
( ( ! [SY622: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV52 @ SV109 )
| ~ ( ord_le824540014_ereal @ ( SV150 @ SV109 ) @ SY622 )
| ~ ! [SY623: extended_ereal,SY624: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY623 @ SY624 )
| ( ord_le824540014_ereal @ ( SV150 @ SY623 ) @ ( SV150 @ SY624 ) ) )
| ( ord_le824540014_ereal @ ( SV150 @ SV52 ) @ SY622 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(726,plain,
! [SV151: extended_ereal,SV110: extended_ereal,SV53: extended_ereal] :
( ( ( SV53 != SV110 )
| ~ ( ord_le824540014_ereal @ SV110 @ SV151 )
| ( ord_le824540014_ereal @ SV53 @ SV151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(727,plain,
! [SV152: extended_ereal > nat,SV111: extended_ereal,SV54: extended_ereal] :
( ( ! [SY625: nat] :
( ~ ( ord_le824540014_ereal @ SV54 @ SV111 )
| ~ ( ord_less_eq_nat @ ( SV152 @ SV111 ) @ SY625 )
| ~ ! [SY626: extended_ereal,SY627: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY626 @ SY627 )
| ( ord_less_eq_nat @ ( SV152 @ SY626 ) @ ( SV152 @ SY627 ) ) )
| ( ord_less_eq_nat @ ( SV152 @ SV54 ) @ SY625 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(728,plain,
! [SV153: extended_ereal,SV112: extended_ereal > extended_enat,SV55: extended_enat] :
( ( ! [SY628: extended_ereal] :
( ~ ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV153 ) )
| ~ ( ord_le824540014_ereal @ SV153 @ SY628 )
| ~ ! [SY540: extended_ereal,SY541: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY540 @ SY541 )
| ( ord_le1863327750d_enat @ ( SV112 @ SY540 ) @ ( SV112 @ SY541 ) ) )
| ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SY628 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(729,plain,
! [SV154: extended_ereal > extended_enat,SV113: extended_ereal,SV56: extended_ereal] :
( ( ! [SY631: extended_enat] :
( ~ ( ord_le824540014_ereal @ SV56 @ SV113 )
| ~ ( ord_le1863327750d_enat @ ( SV154 @ SV113 ) @ SY631 )
| ~ ! [SY632: extended_ereal,SY633: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY632 @ SY633 )
| ( ord_le1863327750d_enat @ ( SV154 @ SY632 ) @ ( SV154 @ SY633 ) ) )
| ( ord_le1863327750d_enat @ ( SV154 @ SV56 ) @ SY631 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(730,plain,
! [SV155: extended_enat > extended_ereal,SV114: extended_enat,SV57: extended_enat] :
( ( ! [SY634: extended_ereal] :
( ~ ( ord_le1863327750d_enat @ SV57 @ SV114 )
| ( ( SV155 @ SV114 )
!= SY634 )
| ~ ! [SY635: extended_enat,SY636: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY635 @ SY636 )
| ( ord_le824540014_ereal @ ( SV155 @ SY635 ) @ ( SV155 @ SY636 ) ) )
| ( ord_le824540014_ereal @ ( SV155 @ SV57 ) @ SY634 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(731,plain,
! [SV156: nat > extended_ereal,SV115: nat,SV58: nat] :
( ( ! [SY637: extended_ereal] :
( ~ ( ord_less_eq_nat @ SV58 @ SV115 )
| ~ ( ord_le824540014_ereal @ ( SV156 @ SV115 ) @ SY637 )
| ~ ! [SY638: nat,SY639: nat] :
( ~ ( ord_less_eq_nat @ SY638 @ SY639 )
| ( ord_le824540014_ereal @ ( SV156 @ SY638 ) @ ( SV156 @ SY639 ) ) )
| ( ord_le824540014_ereal @ ( SV156 @ SV58 ) @ SY637 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(732,plain,
! [SV157: real,SV116: real > extended_ereal,SV59: extended_ereal] :
( ( ! [SY640: real] :
( ~ ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV157 ) )
| ~ ( ord_less_eq_real @ SV157 @ SY640 )
| ~ ! [SY556: real,SY557: real] :
( ~ ( ord_less_eq_real @ SY556 @ SY557 )
| ( ord_le824540014_ereal @ ( SV116 @ SY556 ) @ ( SV116 @ SY557 ) ) )
| ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SY640 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(733,plain,
! [SV60: set_Extended_ereal] :
( ( ~ ~ ( ~ ! [SY643: extended_ereal] :
( ~ ( member1900190071_ereal @ SY643 @ SV60 )
| ( ord_le824540014_ereal @ SY643 @ ( sK2_SY424 @ SV60 ) ) )
| ~ ! [SY644: extended_ereal] :
( ~ ! [SY427: extended_ereal] :
( ~ ( member1900190071_ereal @ SY427 @ SV60 )
| ( ord_le824540014_ereal @ SY427 @ SY644 ) )
| ( ord_le824540014_ereal @ ( sK2_SY424 @ SV60 ) @ SY644 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[667]) ).
thf(734,plain,
! [SV117: extended_ereal,SV61: extended_ereal] :
( ( ( ~ ~ ( ord_le824540014_ereal @ SV61 @ SV117 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV117 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(735,plain,
! [SV158: extended_ereal,SV118: extended_ereal > extended_ereal,SV62: extended_ereal] :
( ( ! [SY646: extended_ereal] :
( ( SV62
!= ( SV118 @ SV158 ) )
| ~ ( ord_le824540014_ereal @ SV158 @ SY646 )
| ~ ! [SY560: extended_ereal,SY561: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY560 @ SY561 )
| ( ord_le824540014_ereal @ ( SV118 @ SY560 ) @ ( SV118 @ SY561 ) ) )
| ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SY646 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(736,plain,
! [SV159: extended_ereal,SV119: extended_ereal,SV63: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV63 @ SV119 )
| ( SV119 != SV159 )
| ( ord_le824540014_ereal @ SV63 @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(737,plain,
! [SV160: extended_enat,SV120: extended_enat > extended_ereal,SV64: extended_ereal] :
( ( ! [SY649: extended_enat] :
( ~ ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV160 ) )
| ~ ( ord_le1863327750d_enat @ SV160 @ SY649 )
| ~ ! [SY565: extended_enat,SY566: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY565 @ SY566 )
| ( ord_le824540014_ereal @ ( SV120 @ SY565 ) @ ( SV120 @ SY566 ) ) )
| ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SY649 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(738,plain,
! [SV65: extended_ereal,SV3: extended_ereal] :
( ( ( SV3 = SV65 )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV3 @ SV65 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV65 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(739,plain,
! [SV7: extended_ereal] :
( ( ( ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
| ( SV7 = extend1289208545_ereal ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
| ( SV7 != extend1289208545_ereal ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(740,plain,
! [SV68: extended_ereal,SV9: extended_ereal] :
( ( ( ~ ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
| ( ord_le824540014_ereal @ SV68 @ SV9 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
| ~ ( ord_le824540014_ereal @ SV68 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(741,plain,
! [SV69: extended_ereal,SV10: extended_ereal] :
( ( ( ~ ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
| ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
| ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(742,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( SV70 = SV161 )
= ( ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(743,plain,
! [SV122: extended_ereal,SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( ~ ! [SY263: extended_ereal,SY264: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY263 @ SY264 )
| ( SV12 @ SY263 @ SY264 ) ) )
= $true )
| ( ( ~ ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) )
| ( SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(744,plain,
! [SV162: extended_ereal,SV123: extended_ereal,SV72: extended_ereal > real,SV13: real] :
( ( ( SV13
!= ( SV72 @ SV123 ) )
| ~ ( ord_le824540014_ereal @ SV123 @ SV162 )
| ~ ! [SY450: extended_ereal,SY451: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY450 @ SY451 )
| ( ord_less_eq_real @ ( SV72 @ SY450 ) @ ( SV72 @ SY451 ) ) )
| ( ord_less_eq_real @ SV13 @ ( SV72 @ SV162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(745,plain,
! [SV73: extended_ereal,SV14: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false )
| ( ( ( ord_le824540014_ereal @ SV73 @ SV14 )
= ( SV73 = SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(746,plain,
! [SV74: extended_ereal,SV15: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV15 @ SV74 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV74 @ SV15 )
| ( SV15 = SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(747,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ( SV16 @ SV75 ) )
= $true )
| ( ( ~ ! [SY453: extended_ereal] :
( ~ ( SV16 @ SY453 )
| ( ord_le824540014_ereal @ SY453 @ SV75 ) )
| ~ ! [SY575: extended_ereal] :
( ~ ( SV16 @ SY575 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY575 ) )
| ( SV124 @ SY575 ) )
| ( SV124 @ ( order_1158471719_ereal @ SV16 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(748,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= ( ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(749,plain,
! [SV77: extended_ereal,SV18: extended_ereal] :
( ( ( SV18 = SV77 )
= $false )
| ( ( ord_le824540014_ereal @ SV18 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(750,plain,
! [SV164: extended_ereal,SV126: extended_ereal > extended_ereal,SV78: extended_ereal,SV19: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV19 @ SV78 )
| ( ( SV126 @ SV78 )
!= SV164 )
| ~ ! [SY578: extended_ereal,SY579: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY578 @ SY579 )
| ( ord_le824540014_ereal @ ( SV126 @ SY578 ) @ ( SV126 @ SY579 ) ) )
| ( ord_le824540014_ereal @ ( SV126 @ SV19 ) @ SV164 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(751,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ~ ( ( order_1408494002_ereal @ SV79 )
| ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( order_1408494002_ereal @ SV79 )
| ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(752,plain,
! [SV165: extended_ereal,SV127: nat > extended_ereal,SV80: nat,SV21: nat] :
( ( ~ ( ord_less_eq_nat @ SV21 @ SV80 )
| ( ( SV127 @ SV80 )
!= SV165 )
| ~ ! [SY581: nat,SY582: nat] :
( ~ ( ord_less_eq_nat @ SY581 @ SY582 )
| ( ord_le824540014_ereal @ ( SV127 @ SY581 ) @ ( SV127 @ SY582 ) ) )
| ( ord_le824540014_ereal @ ( SV127 @ SV21 ) @ SV165 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(753,plain,
! [SV166: extended_enat,SV128: extended_enat,SV81: extended_enat > extended_ereal,SV22: extended_ereal] :
( ( ( SV22
!= ( SV81 @ SV128 ) )
| ~ ( ord_le1863327750d_enat @ SV128 @ SV166 )
| ~ ! [SY469: extended_enat,SY470: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY469 @ SY470 )
| ( ord_le824540014_ereal @ ( SV81 @ SY469 ) @ ( SV81 @ SY470 ) ) )
| ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SV166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(754,plain,
! [SV167: extended_ereal,SV129: extended_enat > extended_ereal,SV82: extended_enat,SV23: extended_enat] :
( ( ~ ( ord_le1863327750d_enat @ SV23 @ SV82 )
| ~ ( ord_le824540014_ereal @ ( SV129 @ SV82 ) @ SV167 )
| ~ ! [SY587: extended_enat,SY588: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY587 @ SY588 )
| ( ord_le824540014_ereal @ ( SV129 @ SY587 ) @ ( SV129 @ SY588 ) ) )
| ( ord_le824540014_ereal @ ( SV129 @ SV23 ) @ SV167 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(755,plain,
! [SV130: extended_ereal,SV83: extended_ereal,SV24: extended_ereal > extended_ereal] :
( ( ( ~ ( order_555877177_ereal @ SV24 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV83 @ SV130 )
| ( ord_le824540014_ereal @ ( SV24 @ SV83 ) @ ( SV24 @ SV130 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[695]) ).
thf(756,plain,
! [SV25: set_Extended_ereal] :
( ( ~ ( ~ ! [SY589: extended_ereal] :
( ~ ( member1900190071_ereal @ SY589 @ SV25 )
| ( ord_le824540014_ereal @ ( sK1_SY305 @ SV25 ) @ SY589 ) )
| ~ ! [SY590: extended_ereal] :
( ~ ! [SY308: extended_ereal] :
( ~ ( member1900190071_ereal @ SY308 @ SV25 )
| ( ord_le824540014_ereal @ SY590 @ SY308 ) )
| ( ord_le824540014_ereal @ SY590 @ ( sK1_SY305 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(757,plain,
! [SV168: extended_ereal,SV131: extended_ereal,SV84: extended_ereal > extended_enat,SV26: extended_enat] :
( ( ( SV26
!= ( SV84 @ SV131 ) )
| ~ ( ord_le824540014_ereal @ SV131 @ SV168 )
| ~ ! [SY478: extended_ereal,SY479: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY478 @ SY479 )
| ( ord_le1863327750d_enat @ ( SV84 @ SY478 ) @ ( SV84 @ SY479 ) ) )
| ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SV168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(758,plain,
! [SV132: extended_ereal,SV85: extended_ereal,SV27: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV27 @ SV85 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV132 @ SV27 )
| ( ord_le824540014_ereal @ SV132 @ SV85 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(759,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(760,plain,
! [SV169: real,SV134: extended_ereal > real,SV87: extended_ereal,SV29: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV29 @ SV87 )
| ~ ( ord_less_eq_real @ ( SV134 @ SV87 ) @ SV169 )
| ~ ! [SY596: extended_ereal,SY597: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY596 @ SY597 )
| ( ord_less_eq_real @ ( SV134 @ SY596 ) @ ( SV134 @ SY597 ) ) )
| ( ord_less_eq_real @ ( SV134 @ SV29 ) @ SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(761,plain,
! [SV170: real,SV135: extended_ereal > real,SV88: extended_ereal,SV30: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV30 @ SV88 )
| ( ( SV135 @ SV88 )
!= SV170 )
| ~ ! [SY599: extended_ereal,SY600: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY599 @ SY600 )
| ( ord_less_eq_real @ ( SV135 @ SY599 ) @ ( SV135 @ SY600 ) ) )
| ( ord_less_eq_real @ ( SV135 @ SV30 ) @ SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(762,plain,
! [SV31: extended_ereal > extended_ereal] :
( ( ( ! [SY668: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK3_SY328 @ SV31 ) @ SY668 )
| ( ord_le824540014_ereal @ ( SV31 @ SY668 ) @ ( SV31 @ ( sK3_SY328 @ SV31 ) ) ) ) )
= $false )
| ( ( order_1408494002_ereal @ SV31 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[702]) ).
thf(763,plain,
! [SV136: extended_ereal,SV89: extended_ereal,SV32: extended_ereal > extended_ereal] :
( ( ( ~ ( order_1408494002_ereal @ SV32 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV89 @ SV136 )
| ( ord_le824540014_ereal @ ( SV32 @ SV136 ) @ ( SV32 @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(764,plain,
! [SV171: extended_ereal,SV137: extended_ereal,SV90: extended_ereal > nat,SV33: nat] :
( ( ~ ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV137 ) )
| ~ ( ord_le824540014_ereal @ SV137 @ SV171 )
| ~ ! [SY493: extended_ereal,SY494: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY493 @ SY494 )
| ( ord_less_eq_nat @ ( SV90 @ SY493 ) @ ( SV90 @ SY494 ) ) )
| ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(765,plain,
! [SV172: extended_ereal,SV138: extended_ereal,SV91: extended_ereal > extended_ereal,SV34: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV138 ) )
| ~ ( ord_le824540014_ereal @ SV138 @ SV172 )
| ~ ! [SY497: extended_ereal,SY498: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY497 @ SY498 )
| ( ord_le824540014_ereal @ ( SV91 @ SY497 ) @ ( SV91 @ SY498 ) ) )
| ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(766,plain,
! [SV92: extended_ereal,SV35: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV35 @ SV92 )
= $false )
| ( ( ( SV35 != extend1289208545_ereal )
| ( SV92 = extend1289208545_ereal ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(767,plain,
! [SV173: nat,SV139: nat,SV93: nat > extended_ereal,SV36: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV139 ) )
| ~ ( ord_less_eq_nat @ SV139 @ SV173 )
| ~ ! [SY501: nat,SY502: nat] :
( ~ ( ord_less_eq_nat @ SY501 @ SY502 )
| ( ord_le824540014_ereal @ ( SV93 @ SY501 ) @ ( SV93 @ SY502 ) ) )
| ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(768,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ( ~ ( order_555877177_ereal @ SV37 ) )
= $true )
| ( ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
= ( ord_le824540014_ereal @ SV94 @ SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(769,plain,
! [SV174: nat,SV141: nat,SV95: nat > extended_ereal,SV38: extended_ereal] :
( ( ( SV38
!= ( SV95 @ SV141 ) )
| ~ ( ord_less_eq_nat @ SV141 @ SV174 )
| ~ ! [SY506: nat,SY507: nat] :
( ~ ( ord_less_eq_nat @ SY506 @ SY507 )
| ( ord_le824540014_ereal @ ( SV95 @ SY506 ) @ ( SV95 @ SY507 ) ) )
| ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SV174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(770,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( SV96 = SV175 )
= ( ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(771,plain,
! [SV97: extended_ereal,SV40: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV40 @ SV97 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV97 @ SV40 )
| ( SV97 = SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(772,plain,
! [SV143: extended_ereal,SV98: extended_ereal,SV41: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV41 @ SV98 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV98 @ SV143 )
| ( ord_le824540014_ereal @ SV41 @ SV143 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(773,plain,
! [SV176: nat,SV144: extended_ereal > nat,SV99: extended_ereal,SV42: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV42 @ SV99 )
| ( ( SV144 @ SV99 )
!= SV176 )
| ~ ! [SY614: extended_ereal,SY615: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY614 @ SY615 )
| ( ord_less_eq_nat @ ( SV144 @ SY614 ) @ ( SV144 @ SY615 ) ) )
| ( ord_less_eq_nat @ ( SV144 @ SV42 ) @ SV176 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(774,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( SV100 = SV177 )
= ( ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(775,plain,
! [SV146: extended_ereal,SV101: extended_ereal,SV44: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV44 @ SV101 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV101 @ SV146 )
| ( ord_le824540014_ereal @ SV44 @ SV146 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(776,plain,
! [SV102: extended_ereal,SV45: extended_ereal] :
( ( ( ! [SY518: real] :
( ~ ( ord_le824540014_ereal @ SV45 @ ( extended_ereal2 @ SY518 ) )
| ( ord_le824540014_ereal @ SV102 @ ( extended_ereal2 @ SY518 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV102 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(777,plain,
! [SV147: extended_ereal,SV103: extended_ereal,SV46: extended_ereal > extended_ereal] :
( ( ( ~ ( order_1408494002_ereal @ SV46 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV103 @ SV147 )
| ( ord_le824540014_ereal @ ( SV46 @ SV147 ) @ ( SV46 @ SV103 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(778,plain,
! [SV104: extended_ereal,SV47: extended_ereal > $o] :
( ( ( SV47 @ SV104 )
= $false )
| ( ( ~ ! [SY520: extended_ereal] :
( ~ ( SV47 @ SY520 )
| ( ord_le824540014_ereal @ SY520 @ SV104 ) )
| ( ( order_1158471719_ereal @ SV47 )
= SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(779,plain,
! [SV178: extended_enat,SV148: extended_ereal > extended_enat,SV105: extended_ereal,SV48: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV48 @ SV105 )
| ( ( SV148 @ SV105 )
!= SV178 )
| ~ ! [SY617: extended_ereal,SY618: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY617 @ SY618 )
| ( ord_le1863327750d_enat @ ( SV148 @ SY617 ) @ ( SV148 @ SY618 ) ) )
| ( ord_le1863327750d_enat @ ( SV148 @ SV48 ) @ SV178 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(780,plain,
! [SV179: extended_ereal,SV149: extended_ereal,SV106: extended_ereal > nat,SV49: nat] :
( ( ( SV49
!= ( SV106 @ SV149 ) )
| ~ ( ord_le824540014_ereal @ SV149 @ SV179 )
| ~ ! [SY527: extended_ereal,SY528: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY527 @ SY528 )
| ( ord_less_eq_nat @ ( SV106 @ SY527 ) @ ( SV106 @ SY528 ) ) )
| ( ord_less_eq_nat @ SV49 @ ( SV106 @ SV179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(781,plain,
! [SV107: extended_ereal,SV50: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV50 @ SV107 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV107 @ SV50 )
| ( SV50 = SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(782,plain,
! [SV108: extended_ereal,SV51: extended_ereal] :
( ( ( SV51 != extend1289208545_ereal )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV108 @ SV51 )
| ( SV108 != extend1289208545_ereal ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(783,plain,
! [SV180: extended_ereal,SV150: extended_ereal > extended_ereal,SV109: extended_ereal,SV52: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV52 @ SV109 )
| ~ ( ord_le824540014_ereal @ ( SV150 @ SV109 ) @ SV180 )
| ~ ! [SY623: extended_ereal,SY624: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY623 @ SY624 )
| ( ord_le824540014_ereal @ ( SV150 @ SY623 ) @ ( SV150 @ SY624 ) ) )
| ( ord_le824540014_ereal @ ( SV150 @ SV52 ) @ SV180 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(784,plain,
! [SV151: extended_ereal,SV110: extended_ereal,SV53: extended_ereal] :
( ( ( SV53 != SV110 )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV110 @ SV151 )
| ( ord_le824540014_ereal @ SV53 @ SV151 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(785,plain,
! [SV181: nat,SV152: extended_ereal > nat,SV111: extended_ereal,SV54: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV54 @ SV111 )
| ~ ( ord_less_eq_nat @ ( SV152 @ SV111 ) @ SV181 )
| ~ ! [SY626: extended_ereal,SY627: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY626 @ SY627 )
| ( ord_less_eq_nat @ ( SV152 @ SY626 ) @ ( SV152 @ SY627 ) ) )
| ( ord_less_eq_nat @ ( SV152 @ SV54 ) @ SV181 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(786,plain,
! [SV182: extended_ereal,SV153: extended_ereal,SV112: extended_ereal > extended_enat,SV55: extended_enat] :
( ( ~ ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV153 ) )
| ~ ( ord_le824540014_ereal @ SV153 @ SV182 )
| ~ ! [SY540: extended_ereal,SY541: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY540 @ SY541 )
| ( ord_le1863327750d_enat @ ( SV112 @ SY540 ) @ ( SV112 @ SY541 ) ) )
| ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(787,plain,
! [SV183: extended_enat,SV154: extended_ereal > extended_enat,SV113: extended_ereal,SV56: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV56 @ SV113 )
| ~ ( ord_le1863327750d_enat @ ( SV154 @ SV113 ) @ SV183 )
| ~ ! [SY632: extended_ereal,SY633: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY632 @ SY633 )
| ( ord_le1863327750d_enat @ ( SV154 @ SY632 ) @ ( SV154 @ SY633 ) ) )
| ( ord_le1863327750d_enat @ ( SV154 @ SV56 ) @ SV183 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(788,plain,
! [SV184: extended_ereal,SV155: extended_enat > extended_ereal,SV114: extended_enat,SV57: extended_enat] :
( ( ~ ( ord_le1863327750d_enat @ SV57 @ SV114 )
| ( ( SV155 @ SV114 )
!= SV184 )
| ~ ! [SY635: extended_enat,SY636: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY635 @ SY636 )
| ( ord_le824540014_ereal @ ( SV155 @ SY635 ) @ ( SV155 @ SY636 ) ) )
| ( ord_le824540014_ereal @ ( SV155 @ SV57 ) @ SV184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(789,plain,
! [SV185: extended_ereal,SV156: nat > extended_ereal,SV115: nat,SV58: nat] :
( ( ~ ( ord_less_eq_nat @ SV58 @ SV115 )
| ~ ( ord_le824540014_ereal @ ( SV156 @ SV115 ) @ SV185 )
| ~ ! [SY638: nat,SY639: nat] :
( ~ ( ord_less_eq_nat @ SY638 @ SY639 )
| ( ord_le824540014_ereal @ ( SV156 @ SY638 ) @ ( SV156 @ SY639 ) ) )
| ( ord_le824540014_ereal @ ( SV156 @ SV58 ) @ SV185 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(790,plain,
! [SV186: real,SV157: real,SV116: real > extended_ereal,SV59: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV157 ) )
| ~ ( ord_less_eq_real @ SV157 @ SV186 )
| ~ ! [SY556: real,SY557: real] :
( ~ ( ord_less_eq_real @ SY556 @ SY557 )
| ( ord_le824540014_ereal @ ( SV116 @ SY556 ) @ ( SV116 @ SY557 ) ) )
| ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(791,plain,
! [SV60: set_Extended_ereal] :
( ( ~ ( ~ ! [SY643: extended_ereal] :
( ~ ( member1900190071_ereal @ SY643 @ SV60 )
| ( ord_le824540014_ereal @ SY643 @ ( sK2_SY424 @ SV60 ) ) )
| ~ ! [SY644: extended_ereal] :
( ~ ! [SY427: extended_ereal] :
( ~ ( member1900190071_ereal @ SY427 @ SV60 )
| ( ord_le824540014_ereal @ SY427 @ SY644 ) )
| ( ord_le824540014_ereal @ ( sK2_SY424 @ SV60 ) @ SY644 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(792,plain,
! [SV117: extended_ereal,SV61: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV61 @ SV117 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV117 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(793,plain,
! [SV187: extended_ereal,SV158: extended_ereal,SV118: extended_ereal > extended_ereal,SV62: extended_ereal] :
( ( ( SV62
!= ( SV118 @ SV158 ) )
| ~ ( ord_le824540014_ereal @ SV158 @ SV187 )
| ~ ! [SY560: extended_ereal,SY561: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY560 @ SY561 )
| ( ord_le824540014_ereal @ ( SV118 @ SY560 ) @ ( SV118 @ SY561 ) ) )
| ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SV187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(794,plain,
! [SV159: extended_ereal,SV119: extended_ereal,SV63: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV63 @ SV119 ) )
= $true )
| ( ( ( SV119 != SV159 )
| ( ord_le824540014_ereal @ SV63 @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(795,plain,
! [SV188: extended_enat,SV160: extended_enat,SV120: extended_enat > extended_ereal,SV64: extended_ereal] :
( ( ~ ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV160 ) )
| ~ ( ord_le1863327750d_enat @ SV160 @ SV188 )
| ~ ! [SY565: extended_enat,SY566: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY565 @ SY566 )
| ( ord_le824540014_ereal @ ( SV120 @ SY565 ) @ ( SV120 @ SY566 ) ) )
| ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(796,plain,
! [SV65: extended_ereal,SV3: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV3 @ SV65 )
= $false )
| ( ( SV3 = SV65 )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV65 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(797,plain,
! [SV7: extended_ereal] :
( ( ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
| ( SV7 != extend1289208545_ereal ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(798,plain,
! [SV7: extended_ereal] :
( ( ( SV7 = extend1289208545_ereal )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
| ( SV7 != extend1289208545_ereal ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(799,plain,
! [SV68: extended_ereal,SV9: extended_ereal] :
( ( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
| ( ord_le824540014_ereal @ SV68 @ SV9 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
| ~ ( ord_le824540014_ereal @ SV68 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(800,plain,
! [SV69: extended_ereal,SV10: extended_ereal] :
( ( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
| ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
| ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(801,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ~ ( ( SV70 = SV161 )
| ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) )
| ~ ( ( SV70 != SV161 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[742]) ).
thf(802,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( SV70 = SV161 )
= ( ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[742]) ).
thf(803,plain,
! [SV122: extended_ereal,SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( ! [SY263: extended_ereal,SY264: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY263 @ SY264 )
| ( SV12 @ SY263 @ SY264 ) ) )
= $false )
| ( ( ~ ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) )
| ( SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(804,plain,
! [SV162: extended_ereal,SV123: extended_ereal,SV72: extended_ereal > real,SV13: real] :
( ( ( SV13
!= ( SV72 @ SV123 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV123 @ SV162 )
| ~ ! [SY450: extended_ereal,SY451: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY450 @ SY451 )
| ( ord_less_eq_real @ ( SV72 @ SY450 ) @ ( SV72 @ SY451 ) ) )
| ( ord_less_eq_real @ SV13 @ ( SV72 @ SV162 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(805,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( ~ ( ( ord_le824540014_ereal @ SV73 @ SV14 )
| ( SV73 = SV14 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV73 @ SV14 )
| ( SV73 != SV14 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[745]) ).
thf(806,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( ( ord_le824540014_ereal @ SV73 @ SV14 )
= ( SV73 = SV14 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[745]) ).
thf(807,plain,
! [SV15: extended_ereal,SV74: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV74 @ SV15 ) )
= $true )
| ( ( SV15 = SV74 )
= $true )
| ( ( ord_le824540014_ereal @ SV15 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(808,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( SV16 @ SV75 )
= $false )
| ( ( ~ ! [SY453: extended_ereal] :
( ~ ( SV16 @ SY453 )
| ( ord_le824540014_ereal @ SY453 @ SV75 ) )
| ~ ! [SY575: extended_ereal] :
( ~ ( SV16 @ SY575 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY575 ) )
| ( SV124 @ SY575 ) )
| ( SV124 @ ( order_1158471719_ereal @ SV16 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(809,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ~ ( ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) )
| ~ ( ~ ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[748]) ).
thf(810,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= ( ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[748]) ).
thf(811,plain,
! [SV164: extended_ereal,SV126: extended_ereal > extended_ereal,SV78: extended_ereal,SV19: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV19 @ SV78 ) )
= $true )
| ( ( ( ( SV126 @ SV78 )
!= SV164 )
| ~ ! [SY578: extended_ereal,SY579: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY578 @ SY579 )
| ( ord_le824540014_ereal @ ( SV126 @ SY578 ) @ ( SV126 @ SY579 ) ) )
| ( ord_le824540014_ereal @ ( SV126 @ SV19 ) @ SV164 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(812,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ( order_1408494002_ereal @ SV79 )
| ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) )
= $false )
| ( ( ~ ( ~ ( order_1408494002_ereal @ SV79 )
| ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(813,plain,
! [SV165: extended_ereal,SV127: nat > extended_ereal,SV80: nat,SV21: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV21 @ SV80 ) )
= $true )
| ( ( ( ( SV127 @ SV80 )
!= SV165 )
| ~ ! [SY581: nat,SY582: nat] :
( ~ ( ord_less_eq_nat @ SY581 @ SY582 )
| ( ord_le824540014_ereal @ ( SV127 @ SY581 ) @ ( SV127 @ SY582 ) ) )
| ( ord_le824540014_ereal @ ( SV127 @ SV21 ) @ SV165 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(814,plain,
! [SV166: extended_enat,SV128: extended_enat,SV81: extended_enat > extended_ereal,SV22: extended_ereal] :
( ( ( SV22
!= ( SV81 @ SV128 ) )
= $true )
| ( ( ~ ( ord_le1863327750d_enat @ SV128 @ SV166 )
| ~ ! [SY469: extended_enat,SY470: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY469 @ SY470 )
| ( ord_le824540014_ereal @ ( SV81 @ SY469 ) @ ( SV81 @ SY470 ) ) )
| ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SV166 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(815,plain,
! [SV167: extended_ereal,SV129: extended_enat > extended_ereal,SV82: extended_enat,SV23: extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ SV23 @ SV82 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ ( SV129 @ SV82 ) @ SV167 )
| ~ ! [SY587: extended_enat,SY588: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY587 @ SY588 )
| ( ord_le824540014_ereal @ ( SV129 @ SY587 ) @ ( SV129 @ SY588 ) ) )
| ( ord_le824540014_ereal @ ( SV129 @ SV23 ) @ SV167 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[754]) ).
thf(816,plain,
! [SV130: extended_ereal,SV83: extended_ereal,SV24: extended_ereal > extended_ereal] :
( ( ( order_555877177_ereal @ SV24 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV83 @ SV130 )
| ( ord_le824540014_ereal @ ( SV24 @ SV83 ) @ ( SV24 @ SV130 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(817,plain,
! [SV25: set_Extended_ereal] :
( ( ~ ! [SY589: extended_ereal] :
( ~ ( member1900190071_ereal @ SY589 @ SV25 )
| ( ord_le824540014_ereal @ ( sK1_SY305 @ SV25 ) @ SY589 ) )
| ~ ! [SY590: extended_ereal] :
( ~ ! [SY308: extended_ereal] :
( ~ ( member1900190071_ereal @ SY308 @ SV25 )
| ( ord_le824540014_ereal @ SY590 @ SY308 ) )
| ( ord_le824540014_ereal @ SY590 @ ( sK1_SY305 @ SV25 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(818,plain,
! [SV168: extended_ereal,SV131: extended_ereal,SV84: extended_ereal > extended_enat,SV26: extended_enat] :
( ( ( SV26
!= ( SV84 @ SV131 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV131 @ SV168 )
| ~ ! [SY478: extended_ereal,SY479: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY478 @ SY479 )
| ( ord_le1863327750d_enat @ ( SV84 @ SY478 ) @ ( SV84 @ SY479 ) ) )
| ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SV168 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[757]) ).
thf(819,plain,
! [SV132: extended_ereal,SV85: extended_ereal,SV27: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV27 @ SV85 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV132 @ SV27 )
| ( ord_le824540014_ereal @ SV132 @ SV85 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(820,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(821,plain,
! [SV169: real,SV134: extended_ereal > real,SV87: extended_ereal,SV29: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV29 @ SV87 ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ ( SV134 @ SV87 ) @ SV169 )
| ~ ! [SY596: extended_ereal,SY597: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY596 @ SY597 )
| ( ord_less_eq_real @ ( SV134 @ SY596 ) @ ( SV134 @ SY597 ) ) )
| ( ord_less_eq_real @ ( SV134 @ SV29 ) @ SV169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[760]) ).
thf(822,plain,
! [SV170: real,SV135: extended_ereal > real,SV88: extended_ereal,SV30: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV30 @ SV88 ) )
= $true )
| ( ( ( ( SV135 @ SV88 )
!= SV170 )
| ~ ! [SY599: extended_ereal,SY600: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY599 @ SY600 )
| ( ord_less_eq_real @ ( SV135 @ SY599 ) @ ( SV135 @ SY600 ) ) )
| ( ord_less_eq_real @ ( SV135 @ SV30 ) @ SV170 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(823,plain,
! [SV31: extended_ereal > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK3_SY328 @ SV31 ) @ ( sK4_SY668 @ SV31 ) )
| ( ord_le824540014_ereal @ ( SV31 @ ( sK4_SY668 @ SV31 ) ) @ ( SV31 @ ( sK3_SY328 @ SV31 ) ) ) )
= $false )
| ( ( order_1408494002_ereal @ SV31 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[762]) ).
thf(824,plain,
! [SV136: extended_ereal,SV89: extended_ereal,SV32: extended_ereal > extended_ereal] :
( ( ( order_1408494002_ereal @ SV32 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV89 @ SV136 )
| ( ord_le824540014_ereal @ ( SV32 @ SV136 ) @ ( SV32 @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(825,plain,
! [SV171: extended_ereal,SV137: extended_ereal,SV90: extended_ereal > nat,SV33: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV137 ) ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV137 @ SV171 )
| ~ ! [SY493: extended_ereal,SY494: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY493 @ SY494 )
| ( ord_less_eq_nat @ ( SV90 @ SY493 ) @ ( SV90 @ SY494 ) ) )
| ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV171 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(826,plain,
! [SV172: extended_ereal,SV138: extended_ereal,SV91: extended_ereal > extended_ereal,SV34: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV138 ) ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV138 @ SV172 )
| ~ ! [SY497: extended_ereal,SY498: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY497 @ SY498 )
| ( ord_le824540014_ereal @ ( SV91 @ SY497 ) @ ( SV91 @ SY498 ) ) )
| ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV172 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(827,plain,
! [SV92: extended_ereal,SV35: extended_ereal] :
( ( ( SV35 != extend1289208545_ereal )
= $true )
| ( ( SV92 = extend1289208545_ereal )
= $true )
| ( ( ord_le824540014_ereal @ SV35 @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(828,plain,
! [SV173: nat,SV139: nat,SV93: nat > extended_ereal,SV36: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV139 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_nat @ SV139 @ SV173 )
| ~ ! [SY501: nat,SY502: nat] :
( ~ ( ord_less_eq_nat @ SY501 @ SY502 )
| ( ord_le824540014_ereal @ ( SV93 @ SY501 ) @ ( SV93 @ SY502 ) ) )
| ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV173 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(829,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ( order_555877177_ereal @ SV37 )
= $false )
| ( ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
= ( ord_le824540014_ereal @ SV94 @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(830,plain,
! [SV174: nat,SV141: nat,SV95: nat > extended_ereal,SV38: extended_ereal] :
( ( ( SV38
!= ( SV95 @ SV141 ) )
= $true )
| ( ( ~ ( ord_less_eq_nat @ SV141 @ SV174 )
| ~ ! [SY506: nat,SY507: nat] :
( ~ ( ord_less_eq_nat @ SY506 @ SY507 )
| ( ord_le824540014_ereal @ ( SV95 @ SY506 ) @ ( SV95 @ SY507 ) ) )
| ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SV174 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(831,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ~ ( ( SV96 = SV175 )
| ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) )
| ~ ( ( SV96 != SV175 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[770]) ).
thf(832,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( SV96 = SV175 )
= ( ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[770]) ).
thf(833,plain,
! [SV40: extended_ereal,SV97: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV97 @ SV40 ) )
= $true )
| ( ( SV97 = SV40 )
= $true )
| ( ( ord_le824540014_ereal @ SV40 @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(834,plain,
! [SV143: extended_ereal,SV98: extended_ereal,SV41: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV41 @ SV98 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV98 @ SV143 )
| ( ord_le824540014_ereal @ SV41 @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(835,plain,
! [SV176: nat,SV144: extended_ereal > nat,SV99: extended_ereal,SV42: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV42 @ SV99 ) )
= $true )
| ( ( ( ( SV144 @ SV99 )
!= SV176 )
| ~ ! [SY614: extended_ereal,SY615: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY614 @ SY615 )
| ( ord_less_eq_nat @ ( SV144 @ SY614 ) @ ( SV144 @ SY615 ) ) )
| ( ord_less_eq_nat @ ( SV144 @ SV42 ) @ SV176 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(836,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ~ ( ( SV100 = SV177 )
| ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) )
| ~ ( ( SV100 != SV177 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[774]) ).
thf(837,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( SV100 = SV177 )
= ( ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[774]) ).
thf(838,plain,
! [SV146: extended_ereal,SV101: extended_ereal,SV44: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV44 @ SV101 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV101 @ SV146 )
| ( ord_le824540014_ereal @ SV44 @ SV146 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(839,plain,
! [SV102: extended_ereal,SV45: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV45 @ ( extended_ereal2 @ ( sK5_SY518 @ SV102 @ SV45 ) ) )
| ( ord_le824540014_ereal @ SV102 @ ( extended_ereal2 @ ( sK5_SY518 @ SV102 @ SV45 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV102 @ SV45 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[776]) ).
thf(840,plain,
! [SV147: extended_ereal,SV103: extended_ereal,SV46: extended_ereal > extended_ereal] :
( ( ( order_1408494002_ereal @ SV46 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV103 @ SV147 )
| ( ord_le824540014_ereal @ ( SV46 @ SV147 ) @ ( SV46 @ SV103 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(841,plain,
! [SV104: extended_ereal,SV47: extended_ereal > $o] :
( ( ( ~ ! [SY520: extended_ereal] :
( ~ ( SV47 @ SY520 )
| ( ord_le824540014_ereal @ SY520 @ SV104 ) ) )
= $true )
| ( ( ( order_1158471719_ereal @ SV47 )
= SV104 )
= $true )
| ( ( SV47 @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(842,plain,
! [SV178: extended_enat,SV148: extended_ereal > extended_enat,SV105: extended_ereal,SV48: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV48 @ SV105 ) )
= $true )
| ( ( ( ( SV148 @ SV105 )
!= SV178 )
| ~ ! [SY617: extended_ereal,SY618: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY617 @ SY618 )
| ( ord_le1863327750d_enat @ ( SV148 @ SY617 ) @ ( SV148 @ SY618 ) ) )
| ( ord_le1863327750d_enat @ ( SV148 @ SV48 ) @ SV178 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(843,plain,
! [SV179: extended_ereal,SV149: extended_ereal,SV106: extended_ereal > nat,SV49: nat] :
( ( ( SV49
!= ( SV106 @ SV149 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV149 @ SV179 )
| ~ ! [SY527: extended_ereal,SY528: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY527 @ SY528 )
| ( ord_less_eq_nat @ ( SV106 @ SY527 ) @ ( SV106 @ SY528 ) ) )
| ( ord_less_eq_nat @ SV49 @ ( SV106 @ SV179 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[780]) ).
thf(844,plain,
! [SV50: extended_ereal,SV107: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV107 @ SV50 ) )
= $true )
| ( ( SV50 = SV107 )
= $true )
| ( ( ord_le824540014_ereal @ SV50 @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(845,plain,
! [SV108: extended_ereal,SV51: extended_ereal] :
( ( ( SV51 = extend1289208545_ereal )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV108 @ SV51 )
| ( SV108 != extend1289208545_ereal ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(846,plain,
! [SV180: extended_ereal,SV150: extended_ereal > extended_ereal,SV109: extended_ereal,SV52: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV52 @ SV109 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ ( SV150 @ SV109 ) @ SV180 )
| ~ ! [SY623: extended_ereal,SY624: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY623 @ SY624 )
| ( ord_le824540014_ereal @ ( SV150 @ SY623 ) @ ( SV150 @ SY624 ) ) )
| ( ord_le824540014_ereal @ ( SV150 @ SV52 ) @ SV180 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[783]) ).
thf(847,plain,
! [SV151: extended_ereal,SV110: extended_ereal,SV53: extended_ereal] :
( ( ( SV53 = SV110 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV110 @ SV151 )
| ( ord_le824540014_ereal @ SV53 @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(848,plain,
! [SV181: nat,SV152: extended_ereal > nat,SV111: extended_ereal,SV54: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV54 @ SV111 ) )
= $true )
| ( ( ~ ( ord_less_eq_nat @ ( SV152 @ SV111 ) @ SV181 )
| ~ ! [SY626: extended_ereal,SY627: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY626 @ SY627 )
| ( ord_less_eq_nat @ ( SV152 @ SY626 ) @ ( SV152 @ SY627 ) ) )
| ( ord_less_eq_nat @ ( SV152 @ SV54 ) @ SV181 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[785]) ).
thf(849,plain,
! [SV182: extended_ereal,SV153: extended_ereal,SV112: extended_ereal > extended_enat,SV55: extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV153 ) ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV153 @ SV182 )
| ~ ! [SY540: extended_ereal,SY541: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY540 @ SY541 )
| ( ord_le1863327750d_enat @ ( SV112 @ SY540 ) @ ( SV112 @ SY541 ) ) )
| ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV182 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[786]) ).
thf(850,plain,
! [SV183: extended_enat,SV154: extended_ereal > extended_enat,SV113: extended_ereal,SV56: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV56 @ SV113 ) )
= $true )
| ( ( ~ ( ord_le1863327750d_enat @ ( SV154 @ SV113 ) @ SV183 )
| ~ ! [SY632: extended_ereal,SY633: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY632 @ SY633 )
| ( ord_le1863327750d_enat @ ( SV154 @ SY632 ) @ ( SV154 @ SY633 ) ) )
| ( ord_le1863327750d_enat @ ( SV154 @ SV56 ) @ SV183 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(851,plain,
! [SV184: extended_ereal,SV155: extended_enat > extended_ereal,SV114: extended_enat,SV57: extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ SV57 @ SV114 ) )
= $true )
| ( ( ( ( SV155 @ SV114 )
!= SV184 )
| ~ ! [SY635: extended_enat,SY636: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY635 @ SY636 )
| ( ord_le824540014_ereal @ ( SV155 @ SY635 ) @ ( SV155 @ SY636 ) ) )
| ( ord_le824540014_ereal @ ( SV155 @ SV57 ) @ SV184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[788]) ).
thf(852,plain,
! [SV185: extended_ereal,SV156: nat > extended_ereal,SV115: nat,SV58: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV58 @ SV115 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ ( SV156 @ SV115 ) @ SV185 )
| ~ ! [SY638: nat,SY639: nat] :
( ~ ( ord_less_eq_nat @ SY638 @ SY639 )
| ( ord_le824540014_ereal @ ( SV156 @ SY638 ) @ ( SV156 @ SY639 ) ) )
| ( ord_le824540014_ereal @ ( SV156 @ SV58 ) @ SV185 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(853,plain,
! [SV186: real,SV157: real,SV116: real > extended_ereal,SV59: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV157 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_real @ SV157 @ SV186 )
| ~ ! [SY556: real,SY557: real] :
( ~ ( ord_less_eq_real @ SY556 @ SY557 )
| ( ord_le824540014_ereal @ ( SV116 @ SY556 ) @ ( SV116 @ SY557 ) ) )
| ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV186 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[790]) ).
thf(854,plain,
! [SV60: set_Extended_ereal] :
( ( ~ ! [SY643: extended_ereal] :
( ~ ( member1900190071_ereal @ SY643 @ SV60 )
| ( ord_le824540014_ereal @ SY643 @ ( sK2_SY424 @ SV60 ) ) )
| ~ ! [SY644: extended_ereal] :
( ~ ! [SY427: extended_ereal] :
( ~ ( member1900190071_ereal @ SY427 @ SV60 )
| ( ord_le824540014_ereal @ SY427 @ SY644 ) )
| ( ord_le824540014_ereal @ ( sK2_SY424 @ SV60 ) @ SY644 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(855,plain,
! [SV117: extended_ereal,SV61: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV61 @ SV117 )
= $true )
| ( ( ord_le824540014_ereal @ SV117 @ SV61 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(856,plain,
! [SV187: extended_ereal,SV158: extended_ereal,SV118: extended_ereal > extended_ereal,SV62: extended_ereal] :
( ( ( SV62
!= ( SV118 @ SV158 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV158 @ SV187 )
| ~ ! [SY560: extended_ereal,SY561: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY560 @ SY561 )
| ( ord_le824540014_ereal @ ( SV118 @ SY560 ) @ ( SV118 @ SY561 ) ) )
| ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SV187 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[793]) ).
thf(857,plain,
! [SV159: extended_ereal,SV119: extended_ereal,SV63: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV63 @ SV119 )
= $false )
| ( ( ( SV119 != SV159 )
| ( ord_le824540014_ereal @ SV63 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(858,plain,
! [SV188: extended_enat,SV160: extended_enat,SV120: extended_enat > extended_ereal,SV64: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV160 ) ) )
= $true )
| ( ( ~ ( ord_le1863327750d_enat @ SV160 @ SV188 )
| ~ ! [SY565: extended_enat,SY566: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY565 @ SY566 )
| ( ord_le824540014_ereal @ ( SV120 @ SY565 ) @ ( SV120 @ SY566 ) ) )
| ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV188 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(859,plain,
! [SV3: extended_ereal,SV65: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV65 @ SV3 )
= $false )
| ( ( SV3 = SV65 )
= $true )
| ( ( ord_le824540014_ereal @ SV3 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(860,plain,
! [SV7: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
| ( SV7 != extend1289208545_ereal ) )
= $false )
| ( ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(861,plain,
! [SV7: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
| ( SV7 != extend1289208545_ereal ) )
= $false )
| ( ( SV7 = extend1289208545_ereal )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(862,plain,
! [SV68: extended_ereal,SV9: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
| ~ ( ord_le824540014_ereal @ SV68 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(863,plain,
! [SV9: extended_ereal,SV68: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV68 @ SV9 )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
| ~ ( ord_le824540014_ereal @ SV68 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(864,plain,
! [SV69: extended_ereal,SV10: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
| ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[800]) ).
thf(865,plain,
! [SV10: extended_ereal,SV69: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
| ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[800]) ).
thf(866,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ~ ( ( SV70 = SV161 )
| ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) ) )
= $true )
| ( ( ~ ( ( SV70 != SV161 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[801]) ).
thf(867,plain,
! [SV12: extended_ereal > extended_ereal > $o,SV71: extended_ereal,SV122: extended_ereal] :
( ( ( ! [SY701: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ SY701 )
| ( SV12 @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ SY701 ) ) )
= $false )
| ( ( ~ ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) )
| ( SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[803]) ).
thf(868,plain,
! [SV162: extended_ereal,SV123: extended_ereal,SV72: extended_ereal > real,SV13: real] :
( ( ( SV13
= ( SV72 @ SV123 ) )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV123 @ SV162 )
| ~ ! [SY450: extended_ereal,SY451: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY450 @ SY451 )
| ( ord_less_eq_real @ ( SV72 @ SY450 ) @ ( SV72 @ SY451 ) ) )
| ( ord_less_eq_real @ SV13 @ ( SV72 @ SV162 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(869,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( ~ ( ( ord_le824540014_ereal @ SV73 @ SV14 )
| ( SV73 = SV14 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV73 @ SV14 )
| ( SV73 != SV14 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(870,plain,
! [SV15: extended_ereal,SV74: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV74 @ SV15 )
= $false )
| ( ( SV15 = SV74 )
= $true )
| ( ( ord_le824540014_ereal @ SV15 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(871,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ! [SY453: extended_ereal] :
( ~ ( SV16 @ SY453 )
| ( ord_le824540014_ereal @ SY453 @ SV75 ) ) )
= $true )
| ( ( ~ ! [SY575: extended_ereal] :
( ~ ( SV16 @ SY575 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY575 ) )
| ( SV124 @ SY575 ) )
| ( SV124 @ ( order_1158471719_ereal @ SV16 ) ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[808]) ).
thf(872,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(873,plain,
! [SV164: extended_ereal,SV126: extended_ereal > extended_ereal,SV78: extended_ereal,SV19: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV19 @ SV78 )
= $false )
| ( ( ( ( SV126 @ SV78 )
!= SV164 )
| ~ ! [SY578: extended_ereal,SY579: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY578 @ SY579 )
| ( ord_le824540014_ereal @ ( SV126 @ SY578 ) @ ( SV126 @ SY579 ) ) )
| ( ord_le824540014_ereal @ ( SV126 @ SV19 ) @ SV164 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(874,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( order_1408494002_ereal @ SV79 )
= $false )
| ( ( ~ ( ~ ( order_1408494002_ereal @ SV79 )
| ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[812]) ).
thf(875,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) )
= $false )
| ( ( ~ ( ~ ( order_1408494002_ereal @ SV79 )
| ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[812]) ).
thf(876,plain,
! [SV165: extended_ereal,SV127: nat > extended_ereal,SV80: nat,SV21: nat] :
( ( ( ord_less_eq_nat @ SV21 @ SV80 )
= $false )
| ( ( ( ( SV127 @ SV80 )
!= SV165 )
| ~ ! [SY581: nat,SY582: nat] :
( ~ ( ord_less_eq_nat @ SY581 @ SY582 )
| ( ord_le824540014_ereal @ ( SV127 @ SY581 ) @ ( SV127 @ SY582 ) ) )
| ( ord_le824540014_ereal @ ( SV127 @ SV21 ) @ SV165 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(877,plain,
! [SV166: extended_enat,SV128: extended_enat,SV81: extended_enat > extended_ereal,SV22: extended_ereal] :
( ( ( SV22
= ( SV81 @ SV128 ) )
= $false )
| ( ( ~ ( ord_le1863327750d_enat @ SV128 @ SV166 )
| ~ ! [SY469: extended_enat,SY470: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY469 @ SY470 )
| ( ord_le824540014_ereal @ ( SV81 @ SY469 ) @ ( SV81 @ SY470 ) ) )
| ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SV166 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(878,plain,
! [SV167: extended_ereal,SV129: extended_enat > extended_ereal,SV82: extended_enat,SV23: extended_enat] :
( ( ( ord_le1863327750d_enat @ SV23 @ SV82 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ ( SV129 @ SV82 ) @ SV167 )
| ~ ! [SY587: extended_enat,SY588: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY587 @ SY588 )
| ( ord_le824540014_ereal @ ( SV129 @ SY587 ) @ ( SV129 @ SY588 ) ) )
| ( ord_le824540014_ereal @ ( SV129 @ SV23 ) @ SV167 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(879,plain,
! [SV24: extended_ereal > extended_ereal,SV130: extended_ereal,SV83: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV83 @ SV130 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV24 @ SV83 ) @ ( SV24 @ SV130 ) )
= $true )
| ( ( order_555877177_ereal @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(880,plain,
! [SV25: set_Extended_ereal] :
( ( ~ ! [SY589: extended_ereal] :
( ~ ( member1900190071_ereal @ SY589 @ SV25 )
| ( ord_le824540014_ereal @ ( sK1_SY305 @ SV25 ) @ SY589 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[817]) ).
thf(881,plain,
! [SV25: set_Extended_ereal] :
( ( ~ ! [SY590: extended_ereal] :
( ~ ! [SY308: extended_ereal] :
( ~ ( member1900190071_ereal @ SY308 @ SV25 )
| ( ord_le824540014_ereal @ SY590 @ SY308 ) )
| ( ord_le824540014_ereal @ SY590 @ ( sK1_SY305 @ SV25 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[817]) ).
thf(882,plain,
! [SV168: extended_ereal,SV131: extended_ereal,SV84: extended_ereal > extended_enat,SV26: extended_enat] :
( ( ( SV26
= ( SV84 @ SV131 ) )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV131 @ SV168 )
| ~ ! [SY478: extended_ereal,SY479: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY478 @ SY479 )
| ( ord_le1863327750d_enat @ ( SV84 @ SY478 ) @ ( SV84 @ SY479 ) ) )
| ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SV168 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(883,plain,
! [SV85: extended_ereal,SV27: extended_ereal,SV132: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV132 @ SV27 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV132 @ SV85 )
= $true )
| ( ( ord_le824540014_ereal @ SV27 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(884,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(885,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(886,plain,
! [SV169: real,SV134: extended_ereal > real,SV87: extended_ereal,SV29: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV29 @ SV87 )
= $false )
| ( ( ~ ( ord_less_eq_real @ ( SV134 @ SV87 ) @ SV169 )
| ~ ! [SY596: extended_ereal,SY597: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY596 @ SY597 )
| ( ord_less_eq_real @ ( SV134 @ SY596 ) @ ( SV134 @ SY597 ) ) )
| ( ord_less_eq_real @ ( SV134 @ SV29 ) @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(887,plain,
! [SV170: real,SV135: extended_ereal > real,SV88: extended_ereal,SV30: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV30 @ SV88 )
= $false )
| ( ( ( ( SV135 @ SV88 )
!= SV170 )
| ~ ! [SY599: extended_ereal,SY600: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY599 @ SY600 )
| ( ord_less_eq_real @ ( SV135 @ SY599 ) @ ( SV135 @ SY600 ) ) )
| ( ord_less_eq_real @ ( SV135 @ SV30 ) @ SV170 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(888,plain,
! [SV31: extended_ereal > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK3_SY328 @ SV31 ) @ ( sK4_SY668 @ SV31 ) ) )
= $false )
| ( ( order_1408494002_ereal @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(889,plain,
! [SV31: extended_ereal > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV31 @ ( sK4_SY668 @ SV31 ) ) @ ( SV31 @ ( sK3_SY328 @ SV31 ) ) )
= $false )
| ( ( order_1408494002_ereal @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(890,plain,
! [SV32: extended_ereal > extended_ereal,SV136: extended_ereal,SV89: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV89 @ SV136 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV32 @ SV136 ) @ ( SV32 @ SV89 ) )
= $true )
| ( ( order_1408494002_ereal @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(891,plain,
! [SV171: extended_ereal,SV137: extended_ereal,SV90: extended_ereal > nat,SV33: nat] :
( ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV137 ) )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV137 @ SV171 )
| ~ ! [SY493: extended_ereal,SY494: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY493 @ SY494 )
| ( ord_less_eq_nat @ ( SV90 @ SY493 ) @ ( SV90 @ SY494 ) ) )
| ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV171 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(892,plain,
! [SV172: extended_ereal,SV138: extended_ereal,SV91: extended_ereal > extended_ereal,SV34: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV138 ) )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV138 @ SV172 )
| ~ ! [SY497: extended_ereal,SY498: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY497 @ SY498 )
| ( ord_le824540014_ereal @ ( SV91 @ SY497 ) @ ( SV91 @ SY498 ) ) )
| ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV172 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(893,plain,
! [SV92: extended_ereal,SV35: extended_ereal] :
( ( ( SV35 = extend1289208545_ereal )
= $false )
| ( ( SV92 = extend1289208545_ereal )
= $true )
| ( ( ord_le824540014_ereal @ SV35 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(894,plain,
! [SV173: nat,SV139: nat,SV93: nat > extended_ereal,SV36: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV139 ) )
= $false )
| ( ( ~ ( ord_less_eq_nat @ SV139 @ SV173 )
| ~ ! [SY501: nat,SY502: nat] :
( ~ ( ord_less_eq_nat @ SY501 @ SY502 )
| ( ord_le824540014_ereal @ ( SV93 @ SY501 ) @ ( SV93 @ SY502 ) ) )
| ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV173 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(895,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ( ~ ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
| ( ord_le824540014_ereal @ SV94 @ SV140 ) )
| ~ ( ~ ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
| ~ ( ord_le824540014_ereal @ SV94 @ SV140 ) ) )
= $true )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[829]) ).
thf(896,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
= ( ord_le824540014_ereal @ SV94 @ SV140 ) )
= $true )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[829]) ).
thf(897,plain,
! [SV174: nat,SV141: nat,SV95: nat > extended_ereal,SV38: extended_ereal] :
( ( ( SV38
= ( SV95 @ SV141 ) )
= $false )
| ( ( ~ ( ord_less_eq_nat @ SV141 @ SV174 )
| ~ ! [SY506: nat,SY507: nat] :
( ~ ( ord_less_eq_nat @ SY506 @ SY507 )
| ( ord_le824540014_ereal @ ( SV95 @ SY506 ) @ ( SV95 @ SY507 ) ) )
| ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SV174 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(898,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( ~ ( ( SV96 = SV175 )
| ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) ) )
= $true )
| ( ( ~ ( ( SV96 != SV175 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(899,plain,
! [SV40: extended_ereal,SV97: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV97 @ SV40 )
= $false )
| ( ( SV97 = SV40 )
= $true )
| ( ( ord_le824540014_ereal @ SV40 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(900,plain,
! [SV41: extended_ereal,SV143: extended_ereal,SV98: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV98 @ SV143 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV41 @ SV143 )
= $true )
| ( ( ord_le824540014_ereal @ SV41 @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(901,plain,
! [SV176: nat,SV144: extended_ereal > nat,SV99: extended_ereal,SV42: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV42 @ SV99 )
= $false )
| ( ( ( ( SV144 @ SV99 )
!= SV176 )
| ~ ! [SY614: extended_ereal,SY615: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY614 @ SY615 )
| ( ord_less_eq_nat @ ( SV144 @ SY614 ) @ ( SV144 @ SY615 ) ) )
| ( ord_less_eq_nat @ ( SV144 @ SV42 ) @ SV176 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(902,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ~ ( ( SV100 = SV177 )
| ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) ) )
= $true )
| ( ( ~ ( ( SV100 != SV177 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[836]) ).
thf(903,plain,
! [SV44: extended_ereal,SV146: extended_ereal,SV101: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV101 @ SV146 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV44 @ SV146 )
= $true )
| ( ( ord_le824540014_ereal @ SV44 @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[838]) ).
thf(904,plain,
! [SV102: extended_ereal,SV45: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV45 @ ( extended_ereal2 @ ( sK5_SY518 @ SV102 @ SV45 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV102 @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(905,plain,
! [SV45: extended_ereal,SV102: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV102 @ ( extended_ereal2 @ ( sK5_SY518 @ SV102 @ SV45 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV102 @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(906,plain,
! [SV46: extended_ereal > extended_ereal,SV147: extended_ereal,SV103: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV103 @ SV147 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV46 @ SV147 ) @ ( SV46 @ SV103 ) )
= $true )
| ( ( order_1408494002_ereal @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(907,plain,
! [SV104: extended_ereal,SV47: extended_ereal > $o] :
( ( ( ! [SY520: extended_ereal] :
( ~ ( SV47 @ SY520 )
| ( ord_le824540014_ereal @ SY520 @ SV104 ) ) )
= $false )
| ( ( ( order_1158471719_ereal @ SV47 )
= SV104 )
= $true )
| ( ( SV47 @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(908,plain,
! [SV178: extended_enat,SV148: extended_ereal > extended_enat,SV105: extended_ereal,SV48: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV48 @ SV105 )
= $false )
| ( ( ( ( SV148 @ SV105 )
!= SV178 )
| ~ ! [SY617: extended_ereal,SY618: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY617 @ SY618 )
| ( ord_le1863327750d_enat @ ( SV148 @ SY617 ) @ ( SV148 @ SY618 ) ) )
| ( ord_le1863327750d_enat @ ( SV148 @ SV48 ) @ SV178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(909,plain,
! [SV179: extended_ereal,SV149: extended_ereal,SV106: extended_ereal > nat,SV49: nat] :
( ( ( SV49
= ( SV106 @ SV149 ) )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV149 @ SV179 )
| ~ ! [SY527: extended_ereal,SY528: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY527 @ SY528 )
| ( ord_less_eq_nat @ ( SV106 @ SY527 ) @ ( SV106 @ SY528 ) ) )
| ( ord_less_eq_nat @ SV49 @ ( SV106 @ SV179 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(910,plain,
! [SV50: extended_ereal,SV107: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV107 @ SV50 )
= $false )
| ( ( SV50 = SV107 )
= $true )
| ( ( ord_le824540014_ereal @ SV50 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(911,plain,
! [SV51: extended_ereal,SV108: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV108 @ SV51 ) )
= $true )
| ( ( SV108 != extend1289208545_ereal )
= $true )
| ( ( SV51 = extend1289208545_ereal )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(912,plain,
! [SV180: extended_ereal,SV150: extended_ereal > extended_ereal,SV109: extended_ereal,SV52: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV52 @ SV109 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ ( SV150 @ SV109 ) @ SV180 )
| ~ ! [SY623: extended_ereal,SY624: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY623 @ SY624 )
| ( ord_le824540014_ereal @ ( SV150 @ SY623 ) @ ( SV150 @ SY624 ) ) )
| ( ord_le824540014_ereal @ ( SV150 @ SV52 ) @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(913,plain,
! [SV53: extended_ereal,SV151: extended_ereal,SV110: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV110 @ SV151 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV53 @ SV151 )
= $true )
| ( ( SV53 = SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(914,plain,
! [SV181: nat,SV152: extended_ereal > nat,SV111: extended_ereal,SV54: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV54 @ SV111 )
= $false )
| ( ( ~ ( ord_less_eq_nat @ ( SV152 @ SV111 ) @ SV181 )
| ~ ! [SY626: extended_ereal,SY627: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY626 @ SY627 )
| ( ord_less_eq_nat @ ( SV152 @ SY626 ) @ ( SV152 @ SY627 ) ) )
| ( ord_less_eq_nat @ ( SV152 @ SV54 ) @ SV181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(915,plain,
! [SV182: extended_ereal,SV153: extended_ereal,SV112: extended_ereal > extended_enat,SV55: extended_enat] :
( ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV153 ) )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV153 @ SV182 )
| ~ ! [SY540: extended_ereal,SY541: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY540 @ SY541 )
| ( ord_le1863327750d_enat @ ( SV112 @ SY540 ) @ ( SV112 @ SY541 ) ) )
| ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV182 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(916,plain,
! [SV183: extended_enat,SV154: extended_ereal > extended_enat,SV113: extended_ereal,SV56: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV56 @ SV113 )
= $false )
| ( ( ~ ( ord_le1863327750d_enat @ ( SV154 @ SV113 ) @ SV183 )
| ~ ! [SY632: extended_ereal,SY633: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY632 @ SY633 )
| ( ord_le1863327750d_enat @ ( SV154 @ SY632 ) @ ( SV154 @ SY633 ) ) )
| ( ord_le1863327750d_enat @ ( SV154 @ SV56 ) @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(917,plain,
! [SV184: extended_ereal,SV155: extended_enat > extended_ereal,SV114: extended_enat,SV57: extended_enat] :
( ( ( ord_le1863327750d_enat @ SV57 @ SV114 )
= $false )
| ( ( ( ( SV155 @ SV114 )
!= SV184 )
| ~ ! [SY635: extended_enat,SY636: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY635 @ SY636 )
| ( ord_le824540014_ereal @ ( SV155 @ SY635 ) @ ( SV155 @ SY636 ) ) )
| ( ord_le824540014_ereal @ ( SV155 @ SV57 ) @ SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(918,plain,
! [SV185: extended_ereal,SV156: nat > extended_ereal,SV115: nat,SV58: nat] :
( ( ( ord_less_eq_nat @ SV58 @ SV115 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ ( SV156 @ SV115 ) @ SV185 )
| ~ ! [SY638: nat,SY639: nat] :
( ~ ( ord_less_eq_nat @ SY638 @ SY639 )
| ( ord_le824540014_ereal @ ( SV156 @ SY638 ) @ ( SV156 @ SY639 ) ) )
| ( ord_le824540014_ereal @ ( SV156 @ SV58 ) @ SV185 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(919,plain,
! [SV186: real,SV157: real,SV116: real > extended_ereal,SV59: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV157 ) )
= $false )
| ( ( ~ ( ord_less_eq_real @ SV157 @ SV186 )
| ~ ! [SY556: real,SY557: real] :
( ~ ( ord_less_eq_real @ SY556 @ SY557 )
| ( ord_le824540014_ereal @ ( SV116 @ SY556 ) @ ( SV116 @ SY557 ) ) )
| ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV186 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(920,plain,
! [SV60: set_Extended_ereal] :
( ( ~ ! [SY643: extended_ereal] :
( ~ ( member1900190071_ereal @ SY643 @ SV60 )
| ( ord_le824540014_ereal @ SY643 @ ( sK2_SY424 @ SV60 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[854]) ).
thf(921,plain,
! [SV60: set_Extended_ereal] :
( ( ~ ! [SY644: extended_ereal] :
( ~ ! [SY427: extended_ereal] :
( ~ ( member1900190071_ereal @ SY427 @ SV60 )
| ( ord_le824540014_ereal @ SY427 @ SY644 ) )
| ( ord_le824540014_ereal @ ( sK2_SY424 @ SV60 ) @ SY644 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[854]) ).
thf(922,plain,
! [SV187: extended_ereal,SV158: extended_ereal,SV118: extended_ereal > extended_ereal,SV62: extended_ereal] :
( ( ( SV62
= ( SV118 @ SV158 ) )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV158 @ SV187 )
| ~ ! [SY560: extended_ereal,SY561: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY560 @ SY561 )
| ( ord_le824540014_ereal @ ( SV118 @ SY560 ) @ ( SV118 @ SY561 ) ) )
| ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SV187 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(923,plain,
! [SV63: extended_ereal,SV159: extended_ereal,SV119: extended_ereal] :
( ( ( SV119 != SV159 )
= $true )
| ( ( ord_le824540014_ereal @ SV63 @ SV159 )
= $true )
| ( ( ord_le824540014_ereal @ SV63 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(924,plain,
! [SV188: extended_enat,SV160: extended_enat,SV120: extended_enat > extended_ereal,SV64: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV160 ) )
= $false )
| ( ( ~ ( ord_le1863327750d_enat @ SV160 @ SV188 )
| ~ ! [SY565: extended_enat,SY566: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY565 @ SY566 )
| ( ord_le824540014_ereal @ ( SV120 @ SY565 ) @ ( SV120 @ SY566 ) ) )
| ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV188 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(925,plain,
! [SV7: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 ) )
= $false )
| ( ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[860]) ).
thf(926,plain,
! [SV7: extended_ereal] :
( ( ( SV7 != extend1289208545_ereal )
= $false )
| ( ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[860]) ).
thf(927,plain,
! [SV7: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 ) )
= $false )
| ( ( SV7 = extend1289208545_ereal )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(928,plain,
! [SV7: extended_ereal] :
( ( ( SV7 != extend1289208545_ereal )
= $false )
| ( ( SV7 = extend1289208545_ereal )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(929,plain,
! [SV68: extended_ereal,SV9: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
| ~ ( ord_le824540014_ereal @ SV68 @ SV9 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(930,plain,
! [SV68: extended_ereal,SV9: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
| ~ ( ord_le824540014_ereal @ SV68 @ SV9 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV68 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(931,plain,
! [SV69: extended_ereal,SV10: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
| ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(932,plain,
! [SV69: extended_ereal,SV10: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
| ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(933,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ( SV70 = SV161 )
| ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) )
= $false )
| ( ( ~ ( ( SV70 != SV161 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(934,plain,
! [SV12: extended_ereal > extended_ereal > $o,SV71: extended_ereal,SV122: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
| ( SV12 @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) ) )
= $false )
| ( ( ~ ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) )
| ( SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[867]) ).
thf(935,plain,
! [SV13: real,SV72: extended_ereal > real,SV162: extended_ereal,SV123: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV123 @ SV162 ) )
= $true )
| ( ( ~ ! [SY450: extended_ereal,SY451: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY450 @ SY451 )
| ( ord_less_eq_real @ ( SV72 @ SY450 ) @ ( SV72 @ SY451 ) ) )
| ( ord_less_eq_real @ SV13 @ ( SV72 @ SV162 ) ) )
= $true )
| ( ( SV13
= ( SV72 @ SV123 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(936,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( ( ord_le824540014_ereal @ SV73 @ SV14 )
| ( SV73 = SV14 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV73 @ SV14 )
| ( SV73 != SV14 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(937,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ! [SY453: extended_ereal] :
( ~ ( SV16 @ SY453 )
| ( ord_le824540014_ereal @ SY453 @ SV75 ) ) )
= $false )
| ( ( ~ ! [SY575: extended_ereal] :
( ~ ( SV16 @ SY575 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY575 ) )
| ( SV124 @ SY575 ) )
| ( SV124 @ ( order_1158471719_ereal @ SV16 ) ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(938,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(939,plain,
! [SV19: extended_ereal,SV164: extended_ereal,SV78: extended_ereal,SV126: extended_ereal > extended_ereal] :
( ( ( ( SV126 @ SV78 )
!= SV164 )
= $true )
| ( ( ~ ! [SY578: extended_ereal,SY579: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY578 @ SY579 )
| ( ord_le824540014_ereal @ ( SV126 @ SY578 ) @ ( SV126 @ SY579 ) ) )
| ( ord_le824540014_ereal @ ( SV126 @ SV19 ) @ SV164 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV19 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[873]) ).
thf(940,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ~ ( order_1408494002_ereal @ SV79 )
| ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) )
= $false )
| ( ( order_1408494002_ereal @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(941,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ! [SY702: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK8_SY461 @ SV79 ) @ SY702 )
| ( ord_le824540014_ereal @ ( SV79 @ SY702 ) @ ( SV79 @ ( sK8_SY461 @ SV79 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( order_1408494002_ereal @ SV79 )
| ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[875]) ).
thf(942,plain,
! [SV21: nat,SV165: extended_ereal,SV80: nat,SV127: nat > extended_ereal] :
( ( ( ( SV127 @ SV80 )
!= SV165 )
= $true )
| ( ( ~ ! [SY581: nat,SY582: nat] :
( ~ ( ord_less_eq_nat @ SY581 @ SY582 )
| ( ord_le824540014_ereal @ ( SV127 @ SY581 ) @ ( SV127 @ SY582 ) ) )
| ( ord_le824540014_ereal @ ( SV127 @ SV21 ) @ SV165 ) )
= $true )
| ( ( ord_less_eq_nat @ SV21 @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[876]) ).
thf(943,plain,
! [SV22: extended_ereal,SV81: extended_enat > extended_ereal,SV166: extended_enat,SV128: extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ SV128 @ SV166 ) )
= $true )
| ( ( ~ ! [SY469: extended_enat,SY470: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY469 @ SY470 )
| ( ord_le824540014_ereal @ ( SV81 @ SY469 ) @ ( SV81 @ SY470 ) ) )
| ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SV166 ) ) )
= $true )
| ( ( SV22
= ( SV81 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(944,plain,
! [SV23: extended_enat,SV167: extended_ereal,SV82: extended_enat,SV129: extended_enat > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV129 @ SV82 ) @ SV167 ) )
= $true )
| ( ( ~ ! [SY587: extended_enat,SY588: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY587 @ SY588 )
| ( ord_le824540014_ereal @ ( SV129 @ SY587 ) @ ( SV129 @ SY588 ) ) )
| ( ord_le824540014_ereal @ ( SV129 @ SV23 ) @ SV167 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(945,plain,
! [SV24: extended_ereal > extended_ereal,SV130: extended_ereal,SV83: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV83 @ SV130 )
= $false )
| ( ( ord_le824540014_ereal @ ( SV24 @ SV83 ) @ ( SV24 @ SV130 ) )
= $true )
| ( ( order_555877177_ereal @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(946,plain,
! [SV25: set_Extended_ereal] :
( ( ! [SY589: extended_ereal] :
( ~ ( member1900190071_ereal @ SY589 @ SV25 )
| ( ord_le824540014_ereal @ ( sK1_SY305 @ SV25 ) @ SY589 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[880]) ).
thf(947,plain,
! [SV25: set_Extended_ereal] :
( ( ! [SY590: extended_ereal] :
( ~ ! [SY308: extended_ereal] :
( ~ ( member1900190071_ereal @ SY308 @ SV25 )
| ( ord_le824540014_ereal @ SY590 @ SY308 ) )
| ( ord_le824540014_ereal @ SY590 @ ( sK1_SY305 @ SV25 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[881]) ).
thf(948,plain,
! [SV26: extended_enat,SV84: extended_ereal > extended_enat,SV168: extended_ereal,SV131: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV131 @ SV168 ) )
= $true )
| ( ( ~ ! [SY478: extended_ereal,SY479: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY478 @ SY479 )
| ( ord_le1863327750d_enat @ ( SV84 @ SY478 ) @ ( SV84 @ SY479 ) ) )
| ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SV168 ) ) )
= $true )
| ( ( SV26
= ( SV84 @ SV131 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(949,plain,
! [SV85: extended_ereal,SV27: extended_ereal,SV132: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV132 @ SV27 )
= $false )
| ( ( ord_le824540014_ereal @ SV132 @ SV85 )
= $true )
| ( ( ord_le824540014_ereal @ SV27 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(950,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[884]) ).
thf(951,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[885]) ).
thf(952,plain,
! [SV29: extended_ereal,SV169: real,SV87: extended_ereal,SV134: extended_ereal > real] :
( ( ( ~ ( ord_less_eq_real @ ( SV134 @ SV87 ) @ SV169 ) )
= $true )
| ( ( ~ ! [SY596: extended_ereal,SY597: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY596 @ SY597 )
| ( ord_less_eq_real @ ( SV134 @ SY596 ) @ ( SV134 @ SY597 ) ) )
| ( ord_less_eq_real @ ( SV134 @ SV29 ) @ SV169 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV29 @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(953,plain,
! [SV30: extended_ereal,SV170: real,SV88: extended_ereal,SV135: extended_ereal > real] :
( ( ( ( SV135 @ SV88 )
!= SV170 )
= $true )
| ( ( ~ ! [SY599: extended_ereal,SY600: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY599 @ SY600 )
| ( ord_less_eq_real @ ( SV135 @ SY599 ) @ ( SV135 @ SY600 ) ) )
| ( ord_less_eq_real @ ( SV135 @ SV30 ) @ SV170 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV30 @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(954,plain,
! [SV31: extended_ereal > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK3_SY328 @ SV31 ) @ ( sK4_SY668 @ SV31 ) )
= $true )
| ( ( order_1408494002_ereal @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[888]) ).
thf(955,plain,
! [SV32: extended_ereal > extended_ereal,SV136: extended_ereal,SV89: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV89 @ SV136 )
= $false )
| ( ( ord_le824540014_ereal @ ( SV32 @ SV136 ) @ ( SV32 @ SV89 ) )
= $true )
| ( ( order_1408494002_ereal @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(956,plain,
! [SV33: nat,SV90: extended_ereal > nat,SV171: extended_ereal,SV137: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV137 @ SV171 ) )
= $true )
| ( ( ~ ! [SY493: extended_ereal,SY494: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY493 @ SY494 )
| ( ord_less_eq_nat @ ( SV90 @ SY493 ) @ ( SV90 @ SY494 ) ) )
| ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV171 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV137 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[891]) ).
thf(957,plain,
! [SV34: extended_ereal,SV91: extended_ereal > extended_ereal,SV172: extended_ereal,SV138: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV138 @ SV172 ) )
= $true )
| ( ( ~ ! [SY497: extended_ereal,SY498: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY497 @ SY498 )
| ( ord_le824540014_ereal @ ( SV91 @ SY497 ) @ ( SV91 @ SY498 ) ) )
| ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV172 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV138 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(958,plain,
! [SV36: extended_ereal,SV93: nat > extended_ereal,SV173: nat,SV139: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV139 @ SV173 ) )
= $true )
| ( ( ~ ! [SY501: nat,SY502: nat] :
( ~ ( ord_less_eq_nat @ SY501 @ SY502 )
| ( ord_le824540014_ereal @ ( SV93 @ SY501 ) @ ( SV93 @ SY502 ) ) )
| ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV173 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV139 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(959,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ( ~ ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
| ( ord_le824540014_ereal @ SV94 @ SV140 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
| ~ ( ord_le824540014_ereal @ SV94 @ SV140 ) ) )
= $true )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(960,plain,
! [SV38: extended_ereal,SV95: nat > extended_ereal,SV174: nat,SV141: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV141 @ SV174 ) )
= $true )
| ( ( ~ ! [SY506: nat,SY507: nat] :
( ~ ( ord_less_eq_nat @ SY506 @ SY507 )
| ( ord_le824540014_ereal @ ( SV95 @ SY506 ) @ ( SV95 @ SY507 ) ) )
| ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SV174 ) ) )
= $true )
| ( ( SV38
= ( SV95 @ SV141 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[897]) ).
thf(961,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( ( SV96 = SV175 )
| ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) )
= $false )
| ( ( ~ ( ( SV96 != SV175 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(962,plain,
! [SV41: extended_ereal,SV143: extended_ereal,SV98: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV98 @ SV143 )
= $false )
| ( ( ord_le824540014_ereal @ SV41 @ SV143 )
= $true )
| ( ( ord_le824540014_ereal @ SV41 @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(963,plain,
! [SV42: extended_ereal,SV176: nat,SV99: extended_ereal,SV144: extended_ereal > nat] :
( ( ( ( SV144 @ SV99 )
!= SV176 )
= $true )
| ( ( ~ ! [SY614: extended_ereal,SY615: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY614 @ SY615 )
| ( ord_less_eq_nat @ ( SV144 @ SY614 ) @ ( SV144 @ SY615 ) ) )
| ( ord_less_eq_nat @ ( SV144 @ SV42 ) @ SV176 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[901]) ).
thf(964,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ( SV100 = SV177 )
| ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) )
= $false )
| ( ( ~ ( ( SV100 != SV177 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(965,plain,
! [SV44: extended_ereal,SV146: extended_ereal,SV101: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV101 @ SV146 )
= $false )
| ( ( ord_le824540014_ereal @ SV44 @ SV146 )
= $true )
| ( ( ord_le824540014_ereal @ SV44 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(966,plain,
! [SV102: extended_ereal,SV45: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV45 @ ( extended_ereal2 @ ( sK5_SY518 @ SV102 @ SV45 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV102 @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(967,plain,
! [SV46: extended_ereal > extended_ereal,SV147: extended_ereal,SV103: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV103 @ SV147 )
= $false )
| ( ( ord_le824540014_ereal @ ( SV46 @ SV147 ) @ ( SV46 @ SV103 ) )
= $true )
| ( ( order_1408494002_ereal @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(968,plain,
! [SV104: extended_ereal,SV47: extended_ereal > $o] :
( ( ( ~ ( SV47 @ ( sK9_SY520 @ SV104 @ SV47 ) )
| ( ord_le824540014_ereal @ ( sK9_SY520 @ SV104 @ SV47 ) @ SV104 ) )
= $false )
| ( ( ( order_1158471719_ereal @ SV47 )
= SV104 )
= $true )
| ( ( SV47 @ SV104 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[907]) ).
thf(969,plain,
! [SV48: extended_ereal,SV178: extended_enat,SV105: extended_ereal,SV148: extended_ereal > extended_enat] :
( ( ( ( SV148 @ SV105 )
!= SV178 )
= $true )
| ( ( ~ ! [SY617: extended_ereal,SY618: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY617 @ SY618 )
| ( ord_le1863327750d_enat @ ( SV148 @ SY617 ) @ ( SV148 @ SY618 ) ) )
| ( ord_le1863327750d_enat @ ( SV148 @ SV48 ) @ SV178 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV48 @ SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[908]) ).
thf(970,plain,
! [SV49: nat,SV106: extended_ereal > nat,SV179: extended_ereal,SV149: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV149 @ SV179 ) )
= $true )
| ( ( ~ ! [SY527: extended_ereal,SY528: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY527 @ SY528 )
| ( ord_less_eq_nat @ ( SV106 @ SY527 ) @ ( SV106 @ SY528 ) ) )
| ( ord_less_eq_nat @ SV49 @ ( SV106 @ SV179 ) ) )
= $true )
| ( ( SV49
= ( SV106 @ SV149 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[909]) ).
thf(971,plain,
! [SV51: extended_ereal,SV108: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV108 @ SV51 )
= $false )
| ( ( SV108 != extend1289208545_ereal )
= $true )
| ( ( SV51 = extend1289208545_ereal )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(972,plain,
! [SV52: extended_ereal,SV180: extended_ereal,SV109: extended_ereal,SV150: extended_ereal > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV150 @ SV109 ) @ SV180 ) )
= $true )
| ( ( ~ ! [SY623: extended_ereal,SY624: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY623 @ SY624 )
| ( ord_le824540014_ereal @ ( SV150 @ SY623 ) @ ( SV150 @ SY624 ) ) )
| ( ord_le824540014_ereal @ ( SV150 @ SV52 ) @ SV180 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV52 @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[912]) ).
thf(973,plain,
! [SV53: extended_ereal,SV151: extended_ereal,SV110: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV110 @ SV151 )
= $false )
| ( ( ord_le824540014_ereal @ SV53 @ SV151 )
= $true )
| ( ( SV53 = SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(974,plain,
! [SV54: extended_ereal,SV181: nat,SV111: extended_ereal,SV152: extended_ereal > nat] :
( ( ( ~ ( ord_less_eq_nat @ ( SV152 @ SV111 ) @ SV181 ) )
= $true )
| ( ( ~ ! [SY626: extended_ereal,SY627: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY626 @ SY627 )
| ( ord_less_eq_nat @ ( SV152 @ SY626 ) @ ( SV152 @ SY627 ) ) )
| ( ord_less_eq_nat @ ( SV152 @ SV54 ) @ SV181 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV54 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[914]) ).
thf(975,plain,
! [SV55: extended_enat,SV112: extended_ereal > extended_enat,SV182: extended_ereal,SV153: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV153 @ SV182 ) )
= $true )
| ( ( ~ ! [SY540: extended_ereal,SY541: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY540 @ SY541 )
| ( ord_le1863327750d_enat @ ( SV112 @ SY540 ) @ ( SV112 @ SY541 ) ) )
| ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV182 ) ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV153 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[915]) ).
thf(976,plain,
! [SV56: extended_ereal,SV183: extended_enat,SV113: extended_ereal,SV154: extended_ereal > extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ ( SV154 @ SV113 ) @ SV183 ) )
= $true )
| ( ( ~ ! [SY632: extended_ereal,SY633: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY632 @ SY633 )
| ( ord_le1863327750d_enat @ ( SV154 @ SY632 ) @ ( SV154 @ SY633 ) ) )
| ( ord_le1863327750d_enat @ ( SV154 @ SV56 ) @ SV183 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV56 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[916]) ).
thf(977,plain,
! [SV57: extended_enat,SV184: extended_ereal,SV114: extended_enat,SV155: extended_enat > extended_ereal] :
( ( ( ( SV155 @ SV114 )
!= SV184 )
= $true )
| ( ( ~ ! [SY635: extended_enat,SY636: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY635 @ SY636 )
| ( ord_le824540014_ereal @ ( SV155 @ SY635 ) @ ( SV155 @ SY636 ) ) )
| ( ord_le824540014_ereal @ ( SV155 @ SV57 ) @ SV184 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV57 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[917]) ).
thf(978,plain,
! [SV58: nat,SV185: extended_ereal,SV115: nat,SV156: nat > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV156 @ SV115 ) @ SV185 ) )
= $true )
| ( ( ~ ! [SY638: nat,SY639: nat] :
( ~ ( ord_less_eq_nat @ SY638 @ SY639 )
| ( ord_le824540014_ereal @ ( SV156 @ SY638 ) @ ( SV156 @ SY639 ) ) )
| ( ord_le824540014_ereal @ ( SV156 @ SV58 ) @ SV185 ) )
= $true )
| ( ( ord_less_eq_nat @ SV58 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(979,plain,
! [SV59: extended_ereal,SV116: real > extended_ereal,SV186: real,SV157: real] :
( ( ( ~ ( ord_less_eq_real @ SV157 @ SV186 ) )
= $true )
| ( ( ~ ! [SY556: real,SY557: real] :
( ~ ( ord_less_eq_real @ SY556 @ SY557 )
| ( ord_le824540014_ereal @ ( SV116 @ SY556 ) @ ( SV116 @ SY557 ) ) )
| ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV186 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV157 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[919]) ).
thf(980,plain,
! [SV60: set_Extended_ereal] :
( ( ! [SY643: extended_ereal] :
( ~ ( member1900190071_ereal @ SY643 @ SV60 )
| ( ord_le824540014_ereal @ SY643 @ ( sK2_SY424 @ SV60 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[920]) ).
thf(981,plain,
! [SV60: set_Extended_ereal] :
( ( ! [SY644: extended_ereal] :
( ~ ! [SY427: extended_ereal] :
( ~ ( member1900190071_ereal @ SY427 @ SV60 )
| ( ord_le824540014_ereal @ SY427 @ SY644 ) )
| ( ord_le824540014_ereal @ ( sK2_SY424 @ SV60 ) @ SY644 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[921]) ).
thf(982,plain,
! [SV62: extended_ereal,SV118: extended_ereal > extended_ereal,SV187: extended_ereal,SV158: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV158 @ SV187 ) )
= $true )
| ( ( ~ ! [SY560: extended_ereal,SY561: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY560 @ SY561 )
| ( ord_le824540014_ereal @ ( SV118 @ SY560 ) @ ( SV118 @ SY561 ) ) )
| ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SV187 ) ) )
= $true )
| ( ( SV62
= ( SV118 @ SV158 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[922]) ).
thf(983,plain,
! [SV63: extended_ereal,SV159: extended_ereal,SV119: extended_ereal] :
( ( ( SV119 = SV159 )
= $false )
| ( ( ord_le824540014_ereal @ SV63 @ SV159 )
= $true )
| ( ( ord_le824540014_ereal @ SV63 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(984,plain,
! [SV64: extended_ereal,SV120: extended_enat > extended_ereal,SV188: extended_enat,SV160: extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ SV160 @ SV188 ) )
= $true )
| ( ( ~ ! [SY565: extended_enat,SY566: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY565 @ SY566 )
| ( ord_le824540014_ereal @ ( SV120 @ SY565 ) @ ( SV120 @ SY566 ) ) )
| ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV188 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV160 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[924]) ).
thf(985,plain,
! [SV7: extended_ereal] :
( ( ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
= $true )
| ( ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[925]) ).
thf(986,plain,
! [SV7: extended_ereal] :
( ( ( SV7 = extend1289208545_ereal )
= $true )
| ( ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[926]) ).
thf(987,plain,
! [SV7: extended_ereal] :
( ( ( ord_le824540014_ereal @ extend1289208545_ereal @ SV7 )
= $true )
| ( ( SV7 = extend1289208545_ereal )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[927]) ).
thf(988,plain,
! [SV7: extended_ereal] :
( ( ( SV7 = extend1289208545_ereal )
= $true )
| ( ( SV7 = extend1289208545_ereal )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[928]) ).
thf(989,plain,
! [SV68: extended_ereal,SV9: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[929]) ).
thf(990,plain,
! [SV9: extended_ereal,SV68: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV68 @ SV9 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[929]) ).
thf(991,plain,
! [SV68: extended_ereal,SV9: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV68 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(992,plain,
! [SV9: extended_ereal,SV68: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV68 @ SV9 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV68 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(993,plain,
! [SV69: extended_ereal,SV10: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[931]) ).
thf(994,plain,
! [SV10: extended_ereal,SV69: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[931]) ).
thf(995,plain,
! [SV69: extended_ereal,SV10: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(996,plain,
! [SV10: extended_ereal,SV69: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(997,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( SV70 = SV161 )
= $false )
| ( ( ~ ( ( SV70 != SV161 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[933]) ).
thf(998,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) )
= $false )
| ( ( ~ ( ( SV70 != SV161 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[933]) ).
thf(999,plain,
! [SV12: extended_ereal > extended_ereal > $o,SV71: extended_ereal,SV122: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) ) )
= $false )
| ( ( ~ ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) )
| ( SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[934]) ).
thf(1000,plain,
! [SV71: extended_ereal,SV122: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( SV12 @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $false )
| ( ( ~ ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) )
| ( SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[934]) ).
thf(1001,plain,
! [SV13: real,SV72: extended_ereal > real,SV162: extended_ereal,SV123: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV123 @ SV162 )
= $false )
| ( ( ~ ! [SY450: extended_ereal,SY451: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY450 @ SY451 )
| ( ord_less_eq_real @ ( SV72 @ SY450 ) @ ( SV72 @ SY451 ) ) )
| ( ord_less_eq_real @ SV13 @ ( SV72 @ SV162 ) ) )
= $true )
| ( ( SV13
= ( SV72 @ SV123 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(1002,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV73 @ SV14 )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV73 @ SV14 )
| ( SV73 != SV14 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[936]) ).
thf(1003,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( SV73 = SV14 )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV73 @ SV14 )
| ( SV73 != SV14 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[936]) ).
thf(1004,plain,
! [SV75: extended_ereal,SV124: extended_ereal > $o,SV16: extended_ereal > $o] :
( ( ( ~ ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
| ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 ) )
= $false )
| ( ( ~ ! [SY575: extended_ereal] :
( ~ ( SV16 @ SY575 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY575 ) )
| ( SV124 @ SY575 ) )
| ( SV124 @ ( order_1158471719_ereal @ SV16 ) ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[937]) ).
thf(1005,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= $false )
| ( ( ~ ( ~ ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(1006,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(1007,plain,
! [SV19: extended_ereal,SV164: extended_ereal,SV78: extended_ereal,SV126: extended_ereal > extended_ereal] :
( ( ( ( SV126 @ SV78 )
= SV164 )
= $false )
| ( ( ~ ! [SY578: extended_ereal,SY579: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY578 @ SY579 )
| ( ord_le824540014_ereal @ ( SV126 @ SY578 ) @ ( SV126 @ SY579 ) ) )
| ( ord_le824540014_ereal @ ( SV126 @ SV19 ) @ SV164 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV19 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(1008,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ~ ( order_1408494002_ereal @ SV79 ) )
= $false )
| ( ( order_1408494002_ereal @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(1009,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) )
= $false )
| ( ( order_1408494002_ereal @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(1010,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK8_SY461 @ SV79 ) @ ( sK11_SY702 @ SV79 ) )
| ( ord_le824540014_ereal @ ( SV79 @ ( sK11_SY702 @ SV79 ) ) @ ( SV79 @ ( sK8_SY461 @ SV79 ) ) ) )
= $false )
| ( ( ~ ( ~ ( order_1408494002_ereal @ SV79 )
| ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[941]) ).
thf(1011,plain,
! [SV21: nat,SV165: extended_ereal,SV80: nat,SV127: nat > extended_ereal] :
( ( ( ( SV127 @ SV80 )
= SV165 )
= $false )
| ( ( ~ ! [SY581: nat,SY582: nat] :
( ~ ( ord_less_eq_nat @ SY581 @ SY582 )
| ( ord_le824540014_ereal @ ( SV127 @ SY581 ) @ ( SV127 @ SY582 ) ) )
| ( ord_le824540014_ereal @ ( SV127 @ SV21 ) @ SV165 ) )
= $true )
| ( ( ord_less_eq_nat @ SV21 @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1012,plain,
! [SV22: extended_ereal,SV81: extended_enat > extended_ereal,SV166: extended_enat,SV128: extended_enat] :
( ( ( ord_le1863327750d_enat @ SV128 @ SV166 )
= $false )
| ( ( ~ ! [SY469: extended_enat,SY470: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY469 @ SY470 )
| ( ord_le824540014_ereal @ ( SV81 @ SY469 ) @ ( SV81 @ SY470 ) ) )
| ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SV166 ) ) )
= $true )
| ( ( SV22
= ( SV81 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1013,plain,
! [SV23: extended_enat,SV167: extended_ereal,SV82: extended_enat,SV129: extended_enat > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV129 @ SV82 ) @ SV167 )
= $false )
| ( ( ~ ! [SY587: extended_enat,SY588: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY587 @ SY588 )
| ( ord_le824540014_ereal @ ( SV129 @ SY587 ) @ ( SV129 @ SY588 ) ) )
| ( ord_le824540014_ereal @ ( SV129 @ SV23 ) @ SV167 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(1014,plain,
! [SV25: set_Extended_ereal,SV189: extended_ereal] :
( ( ~ ( member1900190071_ereal @ SV189 @ SV25 )
| ( ord_le824540014_ereal @ ( sK1_SY305 @ SV25 ) @ SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[946]) ).
thf(1015,plain,
! [SV190: extended_ereal,SV25: set_Extended_ereal] :
( ( ~ ! [SY703: extended_ereal] :
( ~ ( member1900190071_ereal @ SY703 @ SV25 )
| ( ord_le824540014_ereal @ SV190 @ SY703 ) )
| ( ord_le824540014_ereal @ SV190 @ ( sK1_SY305 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1016,plain,
! [SV26: extended_enat,SV84: extended_ereal > extended_enat,SV168: extended_ereal,SV131: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV131 @ SV168 )
= $false )
| ( ( ~ ! [SY478: extended_ereal,SY479: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY478 @ SY479 )
| ( ord_le1863327750d_enat @ ( SV84 @ SY478 ) @ ( SV84 @ SY479 ) ) )
| ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SV168 ) ) )
= $true )
| ( ( SV26
= ( SV84 @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(1017,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(1018,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(1019,plain,
! [SV29: extended_ereal,SV169: real,SV87: extended_ereal,SV134: extended_ereal > real] :
( ( ( ord_less_eq_real @ ( SV134 @ SV87 ) @ SV169 )
= $false )
| ( ( ~ ! [SY596: extended_ereal,SY597: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY596 @ SY597 )
| ( ord_less_eq_real @ ( SV134 @ SY596 ) @ ( SV134 @ SY597 ) ) )
| ( ord_less_eq_real @ ( SV134 @ SV29 ) @ SV169 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV29 @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[952]) ).
thf(1020,plain,
! [SV30: extended_ereal,SV170: real,SV88: extended_ereal,SV135: extended_ereal > real] :
( ( ( ( SV135 @ SV88 )
= SV170 )
= $false )
| ( ( ~ ! [SY599: extended_ereal,SY600: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY599 @ SY600 )
| ( ord_less_eq_real @ ( SV135 @ SY599 ) @ ( SV135 @ SY600 ) ) )
| ( ord_less_eq_real @ ( SV135 @ SV30 ) @ SV170 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV30 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1021,plain,
! [SV33: nat,SV90: extended_ereal > nat,SV171: extended_ereal,SV137: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV137 @ SV171 )
= $false )
| ( ( ~ ! [SY493: extended_ereal,SY494: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY493 @ SY494 )
| ( ord_less_eq_nat @ ( SV90 @ SY493 ) @ ( SV90 @ SY494 ) ) )
| ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV171 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV137 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1022,plain,
! [SV34: extended_ereal,SV91: extended_ereal > extended_ereal,SV172: extended_ereal,SV138: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV138 @ SV172 )
= $false )
| ( ( ~ ! [SY497: extended_ereal,SY498: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY497 @ SY498 )
| ( ord_le824540014_ereal @ ( SV91 @ SY497 ) @ ( SV91 @ SY498 ) ) )
| ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV172 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV138 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(1023,plain,
! [SV36: extended_ereal,SV93: nat > extended_ereal,SV173: nat,SV139: nat] :
( ( ( ord_less_eq_nat @ SV139 @ SV173 )
= $false )
| ( ( ~ ! [SY501: nat,SY502: nat] :
( ~ ( ord_less_eq_nat @ SY501 @ SY502 )
| ( ord_le824540014_ereal @ ( SV93 @ SY501 ) @ ( SV93 @ SY502 ) ) )
| ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV173 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1024,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
| ( ord_le824540014_ereal @ SV94 @ SV140 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
| ~ ( ord_le824540014_ereal @ SV94 @ SV140 ) ) )
= $true )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1025,plain,
! [SV38: extended_ereal,SV95: nat > extended_ereal,SV174: nat,SV141: nat] :
( ( ( ord_less_eq_nat @ SV141 @ SV174 )
= $false )
| ( ( ~ ! [SY506: nat,SY507: nat] :
( ~ ( ord_less_eq_nat @ SY506 @ SY507 )
| ( ord_le824540014_ereal @ ( SV95 @ SY506 ) @ ( SV95 @ SY507 ) ) )
| ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SV174 ) ) )
= $true )
| ( ( SV38
= ( SV95 @ SV141 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1026,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( SV96 = SV175 )
= $false )
| ( ( ~ ( ( SV96 != SV175 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[961]) ).
thf(1027,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) )
= $false )
| ( ( ~ ( ( SV96 != SV175 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[961]) ).
thf(1028,plain,
! [SV42: extended_ereal,SV176: nat,SV99: extended_ereal,SV144: extended_ereal > nat] :
( ( ( ( SV144 @ SV99 )
= SV176 )
= $false )
| ( ( ~ ! [SY614: extended_ereal,SY615: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY614 @ SY615 )
| ( ord_less_eq_nat @ ( SV144 @ SY614 ) @ ( SV144 @ SY615 ) ) )
| ( ord_less_eq_nat @ ( SV144 @ SV42 ) @ SV176 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(1029,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( SV100 = SV177 )
= $false )
| ( ( ~ ( ( SV100 != SV177 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1030,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) )
= $false )
| ( ( ~ ( ( SV100 != SV177 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1031,plain,
! [SV104: extended_ereal,SV47: extended_ereal > $o] :
( ( ( ~ ( SV47 @ ( sK9_SY520 @ SV104 @ SV47 ) ) )
= $false )
| ( ( ( order_1158471719_ereal @ SV47 )
= SV104 )
= $true )
| ( ( SV47 @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1032,plain,
! [SV47: extended_ereal > $o,SV104: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK9_SY520 @ SV104 @ SV47 ) @ SV104 )
= $false )
| ( ( ( order_1158471719_ereal @ SV47 )
= SV104 )
= $true )
| ( ( SV47 @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1033,plain,
! [SV48: extended_ereal,SV178: extended_enat,SV105: extended_ereal,SV148: extended_ereal > extended_enat] :
( ( ( ( SV148 @ SV105 )
= SV178 )
= $false )
| ( ( ~ ! [SY617: extended_ereal,SY618: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY617 @ SY618 )
| ( ord_le1863327750d_enat @ ( SV148 @ SY617 ) @ ( SV148 @ SY618 ) ) )
| ( ord_le1863327750d_enat @ ( SV148 @ SV48 ) @ SV178 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV48 @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1034,plain,
! [SV49: nat,SV106: extended_ereal > nat,SV179: extended_ereal,SV149: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV149 @ SV179 )
= $false )
| ( ( ~ ! [SY527: extended_ereal,SY528: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY527 @ SY528 )
| ( ord_less_eq_nat @ ( SV106 @ SY527 ) @ ( SV106 @ SY528 ) ) )
| ( ord_less_eq_nat @ SV49 @ ( SV106 @ SV179 ) ) )
= $true )
| ( ( SV49
= ( SV106 @ SV149 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(1035,plain,
! [SV51: extended_ereal,SV108: extended_ereal] :
( ( ( SV108 = extend1289208545_ereal )
= $false )
| ( ( ord_le824540014_ereal @ SV108 @ SV51 )
= $false )
| ( ( SV51 = extend1289208545_ereal )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(1036,plain,
! [SV52: extended_ereal,SV180: extended_ereal,SV109: extended_ereal,SV150: extended_ereal > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV150 @ SV109 ) @ SV180 )
= $false )
| ( ( ~ ! [SY623: extended_ereal,SY624: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY623 @ SY624 )
| ( ord_le824540014_ereal @ ( SV150 @ SY623 ) @ ( SV150 @ SY624 ) ) )
| ( ord_le824540014_ereal @ ( SV150 @ SV52 ) @ SV180 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV52 @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1037,plain,
! [SV54: extended_ereal,SV181: nat,SV111: extended_ereal,SV152: extended_ereal > nat] :
( ( ( ord_less_eq_nat @ ( SV152 @ SV111 ) @ SV181 )
= $false )
| ( ( ~ ! [SY626: extended_ereal,SY627: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY626 @ SY627 )
| ( ord_less_eq_nat @ ( SV152 @ SY626 ) @ ( SV152 @ SY627 ) ) )
| ( ord_less_eq_nat @ ( SV152 @ SV54 ) @ SV181 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV54 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1038,plain,
! [SV55: extended_enat,SV112: extended_ereal > extended_enat,SV182: extended_ereal,SV153: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV153 @ SV182 )
= $false )
| ( ( ~ ! [SY540: extended_ereal,SY541: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY540 @ SY541 )
| ( ord_le1863327750d_enat @ ( SV112 @ SY540 ) @ ( SV112 @ SY541 ) ) )
| ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV182 ) ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV153 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1039,plain,
! [SV56: extended_ereal,SV183: extended_enat,SV113: extended_ereal,SV154: extended_ereal > extended_enat] :
( ( ( ord_le1863327750d_enat @ ( SV154 @ SV113 ) @ SV183 )
= $false )
| ( ( ~ ! [SY632: extended_ereal,SY633: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY632 @ SY633 )
| ( ord_le1863327750d_enat @ ( SV154 @ SY632 ) @ ( SV154 @ SY633 ) ) )
| ( ord_le1863327750d_enat @ ( SV154 @ SV56 ) @ SV183 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV56 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(1040,plain,
! [SV57: extended_enat,SV184: extended_ereal,SV114: extended_enat,SV155: extended_enat > extended_ereal] :
( ( ( ( SV155 @ SV114 )
= SV184 )
= $false )
| ( ( ~ ! [SY635: extended_enat,SY636: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY635 @ SY636 )
| ( ord_le824540014_ereal @ ( SV155 @ SY635 ) @ ( SV155 @ SY636 ) ) )
| ( ord_le824540014_ereal @ ( SV155 @ SV57 ) @ SV184 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV57 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(1041,plain,
! [SV58: nat,SV185: extended_ereal,SV115: nat,SV156: nat > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV156 @ SV115 ) @ SV185 )
= $false )
| ( ( ~ ! [SY638: nat,SY639: nat] :
( ~ ( ord_less_eq_nat @ SY638 @ SY639 )
| ( ord_le824540014_ereal @ ( SV156 @ SY638 ) @ ( SV156 @ SY639 ) ) )
| ( ord_le824540014_ereal @ ( SV156 @ SV58 ) @ SV185 ) )
= $true )
| ( ( ord_less_eq_nat @ SV58 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1042,plain,
! [SV59: extended_ereal,SV116: real > extended_ereal,SV186: real,SV157: real] :
( ( ( ord_less_eq_real @ SV157 @ SV186 )
= $false )
| ( ( ~ ! [SY556: real,SY557: real] :
( ~ ( ord_less_eq_real @ SY556 @ SY557 )
| ( ord_le824540014_ereal @ ( SV116 @ SY556 ) @ ( SV116 @ SY557 ) ) )
| ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV186 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV157 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1043,plain,
! [SV60: set_Extended_ereal,SV191: extended_ereal] :
( ( ~ ( member1900190071_ereal @ SV191 @ SV60 )
| ( ord_le824540014_ereal @ SV191 @ ( sK2_SY424 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1044,plain,
! [SV192: extended_ereal,SV60: set_Extended_ereal] :
( ( ~ ! [SY704: extended_ereal] :
( ~ ( member1900190071_ereal @ SY704 @ SV60 )
| ( ord_le824540014_ereal @ SY704 @ SV192 ) )
| ( ord_le824540014_ereal @ ( sK2_SY424 @ SV60 ) @ SV192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1045,plain,
! [SV62: extended_ereal,SV118: extended_ereal > extended_ereal,SV187: extended_ereal,SV158: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV158 @ SV187 )
= $false )
| ( ( ~ ! [SY560: extended_ereal,SY561: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY560 @ SY561 )
| ( ord_le824540014_ereal @ ( SV118 @ SY560 ) @ ( SV118 @ SY561 ) ) )
| ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SV187 ) ) )
= $true )
| ( ( SV62
= ( SV118 @ SV158 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1046,plain,
! [SV64: extended_ereal,SV120: extended_enat > extended_ereal,SV188: extended_enat,SV160: extended_enat] :
( ( ( ord_le1863327750d_enat @ SV160 @ SV188 )
= $false )
| ( ( ~ ! [SY565: extended_enat,SY566: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY565 @ SY566 )
| ( ord_le824540014_ereal @ ( SV120 @ SY565 ) @ ( SV120 @ SY566 ) ) )
| ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV188 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1047,plain,
! [SV68: extended_ereal,SV9: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[989]) ).
thf(1048,plain,
! [SV9: extended_ereal,SV68: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV68 @ SV9 )
= $true )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1049,plain,
! [SV68: extended_ereal,SV9: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV9 ) @ ( uminus1208298309_ereal @ SV68 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV68 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1050,plain,
! [SV9: extended_ereal,SV68: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV68 @ SV9 )
= $true )
| ( ( ord_le824540014_ereal @ SV68 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1051,plain,
! [SV69: extended_ereal,SV10: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
= $true )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(1052,plain,
! [SV10: extended_ereal,SV69: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 )
= $true )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[994]) ).
thf(1053,plain,
! [SV69: extended_ereal,SV10: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV10 ) @ SV69 )
= $true )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1054,plain,
! [SV10: extended_ereal,SV69: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 )
= $true )
| ( ( ord_le824540014_ereal @ ( uminus1208298309_ereal @ SV69 ) @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[996]) ).
thf(1055,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ( SV70 != SV161 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) )
= $false )
| ( ( SV70 = SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1056,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) )
= $true )
| ( ( ~ ( ( SV70 != SV161 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[998]) ).
thf(1057,plain,
! [SV12: extended_ereal > extended_ereal > $o,SV71: extended_ereal,SV122: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $true )
| ( ( ~ ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) )
| ( SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[999]) ).
thf(1058,plain,
! [SV122: extended_ereal,SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( ~ ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) ) )
= $true )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( SV12 @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1059,plain,
! [SV123: extended_ereal,SV162: extended_ereal,SV13: real,SV72: extended_ereal > real] :
( ( ( ~ ! [SY450: extended_ereal,SY451: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY450 @ SY451 )
| ( ord_less_eq_real @ ( SV72 @ SY450 ) @ ( SV72 @ SY451 ) ) ) )
= $true )
| ( ( ord_less_eq_real @ SV13 @ ( SV72 @ SV162 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV123 @ SV162 )
= $false )
| ( ( SV13
= ( SV72 @ SV123 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1060,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV73 @ SV14 )
| ( SV73 != SV14 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV73 @ SV14 )
= $false )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1061,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV73 @ SV14 )
| ( SV73 != SV14 ) )
= $false )
| ( ( SV73 = SV14 )
= $false )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1062,plain,
! [SV75: extended_ereal,SV124: extended_ereal > $o,SV16: extended_ereal > $o] :
( ( ( ~ ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) ) )
= $false )
| ( ( ~ ! [SY575: extended_ereal] :
( ~ ( SV16 @ SY575 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY575 ) )
| ( SV124 @ SY575 ) )
| ( SV124 @ ( order_1158471719_ereal @ SV16 ) ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1004]) ).
thf(1063,plain,
! [SV16: extended_ereal > $o,SV75: extended_ereal,SV124: extended_ereal > $o] :
( ( ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 )
= $false )
| ( ( ~ ! [SY575: extended_ereal] :
( ~ ( SV16 @ SY575 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY575 ) )
| ( SV124 @ SY575 ) )
| ( SV124 @ ( order_1158471719_ereal @ SV16 ) ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1004]) ).
thf(1064,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) )
= $false )
| ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1065,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1006]) ).
thf(1066,plain,
! [SV78: extended_ereal,SV164: extended_ereal,SV19: extended_ereal,SV126: extended_ereal > extended_ereal] :
( ( ( ~ ! [SY578: extended_ereal,SY579: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY578 @ SY579 )
| ( ord_le824540014_ereal @ ( SV126 @ SY578 ) @ ( SV126 @ SY579 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV126 @ SV19 ) @ SV164 )
= $true )
| ( ( ( SV126 @ SV78 )
= SV164 )
= $false )
| ( ( ord_le824540014_ereal @ SV19 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1067,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( order_1408494002_ereal @ SV79 )
= $true )
| ( ( order_1408494002_ereal @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1008]) ).
thf(1068,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) )
= $true )
| ( ( order_1408494002_ereal @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1069,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK8_SY461 @ SV79 ) @ ( sK11_SY702 @ SV79 ) ) )
= $false )
| ( ( ~ ( ~ ( order_1408494002_ereal @ SV79 )
| ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1010]) ).
thf(1070,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV79 @ ( sK11_SY702 @ SV79 ) ) @ ( SV79 @ ( sK8_SY461 @ SV79 ) ) )
= $false )
| ( ( ~ ( ~ ( order_1408494002_ereal @ SV79 )
| ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1010]) ).
thf(1071,plain,
! [SV80: nat,SV165: extended_ereal,SV21: nat,SV127: nat > extended_ereal] :
( ( ( ~ ! [SY581: nat,SY582: nat] :
( ~ ( ord_less_eq_nat @ SY581 @ SY582 )
| ( ord_le824540014_ereal @ ( SV127 @ SY581 ) @ ( SV127 @ SY582 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV127 @ SV21 ) @ SV165 )
= $true )
| ( ( ( SV127 @ SV80 )
= SV165 )
= $false )
| ( ( ord_less_eq_nat @ SV21 @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1011]) ).
thf(1072,plain,
! [SV128: extended_enat,SV166: extended_enat,SV22: extended_ereal,SV81: extended_enat > extended_ereal] :
( ( ( ~ ! [SY469: extended_enat,SY470: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY469 @ SY470 )
| ( ord_le824540014_ereal @ ( SV81 @ SY469 ) @ ( SV81 @ SY470 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SV166 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV128 @ SV166 )
= $false )
| ( ( SV22
= ( SV81 @ SV128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1073,plain,
! [SV82: extended_enat,SV167: extended_ereal,SV23: extended_enat,SV129: extended_enat > extended_ereal] :
( ( ( ~ ! [SY587: extended_enat,SY588: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY587 @ SY588 )
| ( ord_le824540014_ereal @ ( SV129 @ SY587 ) @ ( SV129 @ SY588 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV23 ) @ SV167 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV82 ) @ SV167 )
= $false )
| ( ( ord_le1863327750d_enat @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1074,plain,
! [SV25: set_Extended_ereal,SV189: extended_ereal] :
( ( ( ~ ( member1900190071_ereal @ SV189 @ SV25 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK1_SY305 @ SV25 ) @ SV189 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1014]) ).
thf(1075,plain,
! [SV190: extended_ereal,SV25: set_Extended_ereal] :
( ( ( ~ ! [SY703: extended_ereal] :
( ~ ( member1900190071_ereal @ SY703 @ SV25 )
| ( ord_le824540014_ereal @ SV190 @ SY703 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV190 @ ( sK1_SY305 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1015]) ).
thf(1076,plain,
! [SV131: extended_ereal,SV168: extended_ereal,SV26: extended_enat,SV84: extended_ereal > extended_enat] :
( ( ( ~ ! [SY478: extended_ereal,SY479: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY478 @ SY479 )
| ( ord_le1863327750d_enat @ ( SV84 @ SY478 ) @ ( SV84 @ SY479 ) ) ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SV168 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV131 @ SV168 )
= $false )
| ( ( SV26
= ( SV84 @ SV131 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1077,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1078,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1079,plain,
! [SV87: extended_ereal,SV169: real,SV29: extended_ereal,SV134: extended_ereal > real] :
( ( ( ~ ! [SY596: extended_ereal,SY597: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY596 @ SY597 )
| ( ord_less_eq_real @ ( SV134 @ SY596 ) @ ( SV134 @ SY597 ) ) ) )
= $true )
| ( ( ord_less_eq_real @ ( SV134 @ SV29 ) @ SV169 )
= $true )
| ( ( ord_less_eq_real @ ( SV134 @ SV87 ) @ SV169 )
= $false )
| ( ( ord_le824540014_ereal @ SV29 @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1019]) ).
thf(1080,plain,
! [SV88: extended_ereal,SV170: real,SV30: extended_ereal,SV135: extended_ereal > real] :
( ( ( ~ ! [SY599: extended_ereal,SY600: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY599 @ SY600 )
| ( ord_less_eq_real @ ( SV135 @ SY599 ) @ ( SV135 @ SY600 ) ) ) )
= $true )
| ( ( ord_less_eq_real @ ( SV135 @ SV30 ) @ SV170 )
= $true )
| ( ( ( SV135 @ SV88 )
= SV170 )
= $false )
| ( ( ord_le824540014_ereal @ SV30 @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1020]) ).
thf(1081,plain,
! [SV137: extended_ereal,SV171: extended_ereal,SV33: nat,SV90: extended_ereal > nat] :
( ( ( ~ ! [SY493: extended_ereal,SY494: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY493 @ SY494 )
| ( ord_less_eq_nat @ ( SV90 @ SY493 ) @ ( SV90 @ SY494 ) ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV171 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV137 @ SV171 )
= $false )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV137 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1021]) ).
thf(1082,plain,
! [SV138: extended_ereal,SV172: extended_ereal,SV34: extended_ereal,SV91: extended_ereal > extended_ereal] :
( ( ( ~ ! [SY497: extended_ereal,SY498: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY497 @ SY498 )
| ( ord_le824540014_ereal @ ( SV91 @ SY497 ) @ ( SV91 @ SY498 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV172 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV138 @ SV172 )
= $false )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV138 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1022]) ).
thf(1083,plain,
! [SV139: nat,SV173: nat,SV36: extended_ereal,SV93: nat > extended_ereal] :
( ( ( ~ ! [SY501: nat,SY502: nat] :
( ~ ( ord_less_eq_nat @ SY501 @ SY502 )
| ( ord_le824540014_ereal @ ( SV93 @ SY501 ) @ ( SV93 @ SY502 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV173 ) )
= $true )
| ( ( ord_less_eq_nat @ SV139 @ SV173 )
= $false )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV139 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1023]) ).
thf(1084,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
| ~ ( ord_le824540014_ereal @ SV94 @ SV140 ) ) )
= $true )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1024]) ).
thf(1085,plain,
! [SV37: extended_ereal > extended_ereal,SV140: extended_ereal,SV94: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV94 @ SV140 )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
| ~ ( ord_le824540014_ereal @ SV94 @ SV140 ) ) )
= $true )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1024]) ).
thf(1086,plain,
! [SV141: nat,SV174: nat,SV38: extended_ereal,SV95: nat > extended_ereal] :
( ( ( ~ ! [SY506: nat,SY507: nat] :
( ~ ( ord_less_eq_nat @ SY506 @ SY507 )
| ( ord_le824540014_ereal @ ( SV95 @ SY506 ) @ ( SV95 @ SY507 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SV174 ) )
= $true )
| ( ( ord_less_eq_nat @ SV141 @ SV174 )
= $false )
| ( ( SV38
= ( SV95 @ SV141 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1025]) ).
thf(1087,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( ( SV96 != SV175 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) )
= $false )
| ( ( SV96 = SV175 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1088,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) )
= $true )
| ( ( ~ ( ( SV96 != SV175 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1027]) ).
thf(1089,plain,
! [SV99: extended_ereal,SV176: nat,SV42: extended_ereal,SV144: extended_ereal > nat] :
( ( ( ~ ! [SY614: extended_ereal,SY615: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY614 @ SY615 )
| ( ord_less_eq_nat @ ( SV144 @ SY614 ) @ ( SV144 @ SY615 ) ) ) )
= $true )
| ( ( ord_less_eq_nat @ ( SV144 @ SV42 ) @ SV176 )
= $true )
| ( ( ( SV144 @ SV99 )
= SV176 )
= $false )
| ( ( ord_le824540014_ereal @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1028]) ).
thf(1090,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ( SV100 != SV177 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) )
= $false )
| ( ( SV100 = SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1091,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) )
= $true )
| ( ( ~ ( ( SV100 != SV177 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1030]) ).
thf(1092,plain,
! [SV104: extended_ereal,SV47: extended_ereal > $o] :
( ( ( SV47 @ ( sK9_SY520 @ SV104 @ SV47 ) )
= $true )
| ( ( ( order_1158471719_ereal @ SV47 )
= SV104 )
= $true )
| ( ( SV47 @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1031]) ).
thf(1093,plain,
! [SV105: extended_ereal,SV178: extended_enat,SV48: extended_ereal,SV148: extended_ereal > extended_enat] :
( ( ( ~ ! [SY617: extended_ereal,SY618: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY617 @ SY618 )
| ( ord_le1863327750d_enat @ ( SV148 @ SY617 ) @ ( SV148 @ SY618 ) ) ) )
= $true )
| ( ( ord_le1863327750d_enat @ ( SV148 @ SV48 ) @ SV178 )
= $true )
| ( ( ( SV148 @ SV105 )
= SV178 )
= $false )
| ( ( ord_le824540014_ereal @ SV48 @ SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1033]) ).
thf(1094,plain,
! [SV149: extended_ereal,SV179: extended_ereal,SV49: nat,SV106: extended_ereal > nat] :
( ( ( ~ ! [SY527: extended_ereal,SY528: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY527 @ SY528 )
| ( ord_less_eq_nat @ ( SV106 @ SY527 ) @ ( SV106 @ SY528 ) ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV49 @ ( SV106 @ SV179 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV149 @ SV179 )
= $false )
| ( ( SV49
= ( SV106 @ SV149 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1095,plain,
! [SV109: extended_ereal,SV180: extended_ereal,SV52: extended_ereal,SV150: extended_ereal > extended_ereal] :
( ( ( ~ ! [SY623: extended_ereal,SY624: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY623 @ SY624 )
| ( ord_le824540014_ereal @ ( SV150 @ SY623 ) @ ( SV150 @ SY624 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV52 ) @ SV180 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV109 ) @ SV180 )
= $false )
| ( ( ord_le824540014_ereal @ SV52 @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1096,plain,
! [SV111: extended_ereal,SV181: nat,SV54: extended_ereal,SV152: extended_ereal > nat] :
( ( ( ~ ! [SY626: extended_ereal,SY627: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY626 @ SY627 )
| ( ord_less_eq_nat @ ( SV152 @ SY626 ) @ ( SV152 @ SY627 ) ) ) )
= $true )
| ( ( ord_less_eq_nat @ ( SV152 @ SV54 ) @ SV181 )
= $true )
| ( ( ord_less_eq_nat @ ( SV152 @ SV111 ) @ SV181 )
= $false )
| ( ( ord_le824540014_ereal @ SV54 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1037]) ).
thf(1097,plain,
! [SV153: extended_ereal,SV182: extended_ereal,SV55: extended_enat,SV112: extended_ereal > extended_enat] :
( ( ( ~ ! [SY540: extended_ereal,SY541: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY540 @ SY541 )
| ( ord_le1863327750d_enat @ ( SV112 @ SY540 ) @ ( SV112 @ SY541 ) ) ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV182 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV153 @ SV182 )
= $false )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV153 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1098,plain,
! [SV113: extended_ereal,SV183: extended_enat,SV56: extended_ereal,SV154: extended_ereal > extended_enat] :
( ( ( ~ ! [SY632: extended_ereal,SY633: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY632 @ SY633 )
| ( ord_le1863327750d_enat @ ( SV154 @ SY632 ) @ ( SV154 @ SY633 ) ) ) )
= $true )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV56 ) @ SV183 )
= $true )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV113 ) @ SV183 )
= $false )
| ( ( ord_le824540014_ereal @ SV56 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1039]) ).
thf(1099,plain,
! [SV114: extended_enat,SV184: extended_ereal,SV57: extended_enat,SV155: extended_enat > extended_ereal] :
( ( ( ~ ! [SY635: extended_enat,SY636: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY635 @ SY636 )
| ( ord_le824540014_ereal @ ( SV155 @ SY635 ) @ ( SV155 @ SY636 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV155 @ SV57 ) @ SV184 )
= $true )
| ( ( ( SV155 @ SV114 )
= SV184 )
= $false )
| ( ( ord_le1863327750d_enat @ SV57 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1040]) ).
thf(1100,plain,
! [SV115: nat,SV185: extended_ereal,SV58: nat,SV156: nat > extended_ereal] :
( ( ( ~ ! [SY638: nat,SY639: nat] :
( ~ ( ord_less_eq_nat @ SY638 @ SY639 )
| ( ord_le824540014_ereal @ ( SV156 @ SY638 ) @ ( SV156 @ SY639 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV58 ) @ SV185 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV115 ) @ SV185 )
= $false )
| ( ( ord_less_eq_nat @ SV58 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1041]) ).
thf(1101,plain,
! [SV157: real,SV186: real,SV59: extended_ereal,SV116: real > extended_ereal] :
( ( ( ~ ! [SY556: real,SY557: real] :
( ~ ( ord_less_eq_real @ SY556 @ SY557 )
| ( ord_le824540014_ereal @ ( SV116 @ SY556 ) @ ( SV116 @ SY557 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV186 ) )
= $true )
| ( ( ord_less_eq_real @ SV157 @ SV186 )
= $false )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV157 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1102,plain,
! [SV60: set_Extended_ereal,SV191: extended_ereal] :
( ( ( ~ ( member1900190071_ereal @ SV191 @ SV60 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV191 @ ( sK2_SY424 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1043]) ).
thf(1103,plain,
! [SV192: extended_ereal,SV60: set_Extended_ereal] :
( ( ( ~ ! [SY704: extended_ereal] :
( ~ ( member1900190071_ereal @ SY704 @ SV60 )
| ( ord_le824540014_ereal @ SY704 @ SV192 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK2_SY424 @ SV60 ) @ SV192 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1044]) ).
thf(1104,plain,
! [SV158: extended_ereal,SV187: extended_ereal,SV62: extended_ereal,SV118: extended_ereal > extended_ereal] :
( ( ( ~ ! [SY560: extended_ereal,SY561: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY560 @ SY561 )
| ( ord_le824540014_ereal @ ( SV118 @ SY560 ) @ ( SV118 @ SY561 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SV187 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV158 @ SV187 )
= $false )
| ( ( SV62
= ( SV118 @ SV158 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1105,plain,
! [SV160: extended_enat,SV188: extended_enat,SV64: extended_ereal,SV120: extended_enat > extended_ereal] :
( ( ( ~ ! [SY565: extended_enat,SY566: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY565 @ SY566 )
| ( ord_le824540014_ereal @ ( SV120 @ SY565 ) @ ( SV120 @ SY566 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV188 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV160 @ SV188 )
= $false )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV160 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1046]) ).
thf(1106,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( SV70 != SV161 )
= $false )
| ( ( SV70 = SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1055]) ).
thf(1107,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ~ ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) )
= $false )
| ( ( SV70 = SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1055]) ).
thf(1108,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) )
= $true )
| ( ( ~ ( ( SV70 != SV161 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1109,plain,
! [SV122: extended_ereal,SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( ~ ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) ) )
= $true )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( ord_le824540014_ereal @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1057]) ).
thf(1110,plain,
! [SV122: extended_ereal,SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) ) )
= $false )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( SV12 @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1111,plain,
! [SV123: extended_ereal,SV162: extended_ereal,SV13: real,SV72: extended_ereal > real] :
( ( ( ! [SY450: extended_ereal,SY451: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY450 @ SY451 )
| ( ord_less_eq_real @ ( SV72 @ SY450 ) @ ( SV72 @ SY451 ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV13 @ ( SV72 @ SV162 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV123 @ SV162 )
= $false )
| ( ( SV13
= ( SV72 @ SV123 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1112,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV73 @ SV14 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV73 @ SV14 )
= $false )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1113,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( SV73 != SV14 )
= $false )
| ( ( ord_le824540014_ereal @ SV73 @ SV14 )
= $false )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1114,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV73 @ SV14 ) )
= $false )
| ( ( SV73 = SV14 )
= $false )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1115,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( SV73 != SV14 )
= $false )
| ( ( SV73 = SV14 )
= $false )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1116,plain,
! [SV75: extended_ereal,SV124: extended_ereal > $o,SV16: extended_ereal > $o] :
( ( ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
= $true )
| ( ( ~ ! [SY575: extended_ereal] :
( ~ ( SV16 @ SY575 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY575 ) )
| ( SV124 @ SY575 ) )
| ( SV124 @ ( order_1158471719_ereal @ SV16 ) ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1062]) ).
thf(1117,plain,
! [SV75: extended_ereal,SV124: extended_ereal > $o,SV16: extended_ereal > $o] :
( ( ( ~ ! [SY575: extended_ereal] :
( ~ ( SV16 @ SY575 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY575 ) )
| ( SV124 @ SY575 ) ) )
= $true )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 )
= $false )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1118,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ord_le637473275_ereal @ SV76 @ SV163 ) )
= $false )
| ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1119,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) )
= $false )
| ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1120,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1065]) ).
thf(1121,plain,
! [SV78: extended_ereal,SV164: extended_ereal,SV19: extended_ereal,SV126: extended_ereal > extended_ereal] :
( ( ( ! [SY578: extended_ereal,SY579: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY578 @ SY579 )
| ( ord_le824540014_ereal @ ( SV126 @ SY578 ) @ ( SV126 @ SY579 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV126 @ SV19 ) @ SV164 )
= $true )
| ( ( ( SV126 @ SV78 )
= SV164 )
= $false )
| ( ( ord_le824540014_ereal @ SV19 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1122,plain,
! [SV79: extended_ereal > extended_ereal,SV193: extended_ereal] :
( ( ( ! [SY705: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV193 @ SY705 )
| ( ord_le824540014_ereal @ ( SV79 @ SY705 ) @ ( SV79 @ SV193 ) ) ) )
= $true )
| ( ( order_1408494002_ereal @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1068]) ).
thf(1123,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK8_SY461 @ SV79 ) @ ( sK11_SY702 @ SV79 ) )
= $true )
| ( ( ~ ( ~ ( order_1408494002_ereal @ SV79 )
| ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1069]) ).
thf(1124,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ~ ( order_1408494002_ereal @ SV79 )
| ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV79 @ ( sK11_SY702 @ SV79 ) ) @ ( SV79 @ ( sK8_SY461 @ SV79 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1125,plain,
! [SV80: nat,SV165: extended_ereal,SV21: nat,SV127: nat > extended_ereal] :
( ( ( ! [SY581: nat,SY582: nat] :
( ~ ( ord_less_eq_nat @ SY581 @ SY582 )
| ( ord_le824540014_ereal @ ( SV127 @ SY581 ) @ ( SV127 @ SY582 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV127 @ SV21 ) @ SV165 )
= $true )
| ( ( ( SV127 @ SV80 )
= SV165 )
= $false )
| ( ( ord_less_eq_nat @ SV21 @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1126,plain,
! [SV128: extended_enat,SV166: extended_enat,SV22: extended_ereal,SV81: extended_enat > extended_ereal] :
( ( ( ! [SY469: extended_enat,SY470: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY469 @ SY470 )
| ( ord_le824540014_ereal @ ( SV81 @ SY469 ) @ ( SV81 @ SY470 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SV166 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV128 @ SV166 )
= $false )
| ( ( SV22
= ( SV81 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1127,plain,
! [SV82: extended_enat,SV167: extended_ereal,SV23: extended_enat,SV129: extended_enat > extended_ereal] :
( ( ( ! [SY587: extended_enat,SY588: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY587 @ SY588 )
| ( ord_le824540014_ereal @ ( SV129 @ SY587 ) @ ( SV129 @ SY588 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV23 ) @ SV167 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV82 ) @ SV167 )
= $false )
| ( ( ord_le1863327750d_enat @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1128,plain,
! [SV25: set_Extended_ereal,SV189: extended_ereal] :
( ( ( member1900190071_ereal @ SV189 @ SV25 )
= $false )
| ( ( ord_le824540014_ereal @ ( sK1_SY305 @ SV25 ) @ SV189 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1129,plain,
! [SV190: extended_ereal,SV25: set_Extended_ereal] :
( ( ( ! [SY703: extended_ereal] :
( ~ ( member1900190071_ereal @ SY703 @ SV25 )
| ( ord_le824540014_ereal @ SV190 @ SY703 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV190 @ ( sK1_SY305 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1130,plain,
! [SV131: extended_ereal,SV168: extended_ereal,SV26: extended_enat,SV84: extended_ereal > extended_enat] :
( ( ( ! [SY478: extended_ereal,SY479: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY478 @ SY479 )
| ( ord_le1863327750d_enat @ ( SV84 @ SY478 ) @ ( SV84 @ SY479 ) ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SV168 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV131 @ SV168 )
= $false )
| ( ( SV26
= ( SV84 @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1131,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1132,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1133,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1134,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1135,plain,
! [SV87: extended_ereal,SV169: real,SV29: extended_ereal,SV134: extended_ereal > real] :
( ( ( ! [SY596: extended_ereal,SY597: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY596 @ SY597 )
| ( ord_less_eq_real @ ( SV134 @ SY596 ) @ ( SV134 @ SY597 ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( SV134 @ SV29 ) @ SV169 )
= $true )
| ( ( ord_less_eq_real @ ( SV134 @ SV87 ) @ SV169 )
= $false )
| ( ( ord_le824540014_ereal @ SV29 @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1079]) ).
thf(1136,plain,
! [SV88: extended_ereal,SV170: real,SV30: extended_ereal,SV135: extended_ereal > real] :
( ( ( ! [SY599: extended_ereal,SY600: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY599 @ SY600 )
| ( ord_less_eq_real @ ( SV135 @ SY599 ) @ ( SV135 @ SY600 ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( SV135 @ SV30 ) @ SV170 )
= $true )
| ( ( ( SV135 @ SV88 )
= SV170 )
= $false )
| ( ( ord_le824540014_ereal @ SV30 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1137,plain,
! [SV137: extended_ereal,SV171: extended_ereal,SV33: nat,SV90: extended_ereal > nat] :
( ( ( ! [SY493: extended_ereal,SY494: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY493 @ SY494 )
| ( ord_less_eq_nat @ ( SV90 @ SY493 ) @ ( SV90 @ SY494 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV171 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV137 @ SV171 )
= $false )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV137 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1138,plain,
! [SV138: extended_ereal,SV172: extended_ereal,SV34: extended_ereal,SV91: extended_ereal > extended_ereal] :
( ( ( ! [SY497: extended_ereal,SY498: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY497 @ SY498 )
| ( ord_le824540014_ereal @ ( SV91 @ SY497 ) @ ( SV91 @ SY498 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV172 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV138 @ SV172 )
= $false )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV138 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1139,plain,
! [SV139: nat,SV173: nat,SV36: extended_ereal,SV93: nat > extended_ereal] :
( ( ( ! [SY501: nat,SY502: nat] :
( ~ ( ord_less_eq_nat @ SY501 @ SY502 )
| ( ord_le824540014_ereal @ ( SV93 @ SY501 ) @ ( SV93 @ SY502 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV173 ) )
= $true )
| ( ( ord_less_eq_nat @ SV139 @ SV173 )
= $false )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1140,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
| ~ ( ord_le824540014_ereal @ SV94 @ SV140 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
= $false )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1141,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
| ~ ( ord_le824540014_ereal @ SV94 @ SV140 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV94 @ SV140 )
= $false )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1142,plain,
! [SV141: nat,SV174: nat,SV38: extended_ereal,SV95: nat > extended_ereal] :
( ( ( ! [SY506: nat,SY507: nat] :
( ~ ( ord_less_eq_nat @ SY506 @ SY507 )
| ( ord_le824540014_ereal @ ( SV95 @ SY506 ) @ ( SV95 @ SY507 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SV174 ) )
= $true )
| ( ( ord_less_eq_nat @ SV141 @ SV174 )
= $false )
| ( ( SV38
= ( SV95 @ SV141 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1143,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( SV96 != SV175 )
= $false )
| ( ( SV96 = SV175 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1087]) ).
thf(1144,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ~ ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) )
= $false )
| ( ( SV96 = SV175 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1087]) ).
thf(1145,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) )
= $true )
| ( ( ~ ( ( SV96 != SV175 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1146,plain,
! [SV99: extended_ereal,SV176: nat,SV42: extended_ereal,SV144: extended_ereal > nat] :
( ( ( ! [SY614: extended_ereal,SY615: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY614 @ SY615 )
| ( ord_less_eq_nat @ ( SV144 @ SY614 ) @ ( SV144 @ SY615 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV144 @ SV42 ) @ SV176 )
= $true )
| ( ( ( SV144 @ SV99 )
= SV176 )
= $false )
| ( ( ord_le824540014_ereal @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1147,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( SV100 != SV177 )
= $false )
| ( ( SV100 = SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1148,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ~ ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) )
= $false )
| ( ( SV100 = SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1149,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 ) )
= $true )
| ( ( ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) )
= $true )
| ( ( ~ ( ( SV100 != SV177 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1091]) ).
thf(1150,plain,
! [SV105: extended_ereal,SV178: extended_enat,SV48: extended_ereal,SV148: extended_ereal > extended_enat] :
( ( ( ! [SY617: extended_ereal,SY618: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY617 @ SY618 )
| ( ord_le1863327750d_enat @ ( SV148 @ SY617 ) @ ( SV148 @ SY618 ) ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ ( SV148 @ SV48 ) @ SV178 )
= $true )
| ( ( ( SV148 @ SV105 )
= SV178 )
= $false )
| ( ( ord_le824540014_ereal @ SV48 @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1151,plain,
! [SV149: extended_ereal,SV179: extended_ereal,SV49: nat,SV106: extended_ereal > nat] :
( ( ( ! [SY527: extended_ereal,SY528: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY527 @ SY528 )
| ( ord_less_eq_nat @ ( SV106 @ SY527 ) @ ( SV106 @ SY528 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV49 @ ( SV106 @ SV179 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV149 @ SV179 )
= $false )
| ( ( SV49
= ( SV106 @ SV149 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1152,plain,
! [SV109: extended_ereal,SV180: extended_ereal,SV52: extended_ereal,SV150: extended_ereal > extended_ereal] :
( ( ( ! [SY623: extended_ereal,SY624: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY623 @ SY624 )
| ( ord_le824540014_ereal @ ( SV150 @ SY623 ) @ ( SV150 @ SY624 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV52 ) @ SV180 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV109 ) @ SV180 )
= $false )
| ( ( ord_le824540014_ereal @ SV52 @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1153,plain,
! [SV111: extended_ereal,SV181: nat,SV54: extended_ereal,SV152: extended_ereal > nat] :
( ( ( ! [SY626: extended_ereal,SY627: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY626 @ SY627 )
| ( ord_less_eq_nat @ ( SV152 @ SY626 ) @ ( SV152 @ SY627 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV152 @ SV54 ) @ SV181 )
= $true )
| ( ( ord_less_eq_nat @ ( SV152 @ SV111 ) @ SV181 )
= $false )
| ( ( ord_le824540014_ereal @ SV54 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1096]) ).
thf(1154,plain,
! [SV153: extended_ereal,SV182: extended_ereal,SV55: extended_enat,SV112: extended_ereal > extended_enat] :
( ( ( ! [SY540: extended_ereal,SY541: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY540 @ SY541 )
| ( ord_le1863327750d_enat @ ( SV112 @ SY540 ) @ ( SV112 @ SY541 ) ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV182 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV153 @ SV182 )
= $false )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV153 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1155,plain,
! [SV113: extended_ereal,SV183: extended_enat,SV56: extended_ereal,SV154: extended_ereal > extended_enat] :
( ( ( ! [SY632: extended_ereal,SY633: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY632 @ SY633 )
| ( ord_le1863327750d_enat @ ( SV154 @ SY632 ) @ ( SV154 @ SY633 ) ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV56 ) @ SV183 )
= $true )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV113 ) @ SV183 )
= $false )
| ( ( ord_le824540014_ereal @ SV56 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1156,plain,
! [SV114: extended_enat,SV184: extended_ereal,SV57: extended_enat,SV155: extended_enat > extended_ereal] :
( ( ( ! [SY635: extended_enat,SY636: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY635 @ SY636 )
| ( ord_le824540014_ereal @ ( SV155 @ SY635 ) @ ( SV155 @ SY636 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV155 @ SV57 ) @ SV184 )
= $true )
| ( ( ( SV155 @ SV114 )
= SV184 )
= $false )
| ( ( ord_le1863327750d_enat @ SV57 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1157,plain,
! [SV115: nat,SV185: extended_ereal,SV58: nat,SV156: nat > extended_ereal] :
( ( ( ! [SY638: nat,SY639: nat] :
( ~ ( ord_less_eq_nat @ SY638 @ SY639 )
| ( ord_le824540014_ereal @ ( SV156 @ SY638 ) @ ( SV156 @ SY639 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV58 ) @ SV185 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV115 ) @ SV185 )
= $false )
| ( ( ord_less_eq_nat @ SV58 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1158,plain,
! [SV157: real,SV186: real,SV59: extended_ereal,SV116: real > extended_ereal] :
( ( ( ! [SY556: real,SY557: real] :
( ~ ( ord_less_eq_real @ SY556 @ SY557 )
| ( ord_le824540014_ereal @ ( SV116 @ SY556 ) @ ( SV116 @ SY557 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV186 ) )
= $true )
| ( ( ord_less_eq_real @ SV157 @ SV186 )
= $false )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV157 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1159,plain,
! [SV60: set_Extended_ereal,SV191: extended_ereal] :
( ( ( member1900190071_ereal @ SV191 @ SV60 )
= $false )
| ( ( ord_le824540014_ereal @ SV191 @ ( sK2_SY424 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1160,plain,
! [SV192: extended_ereal,SV60: set_Extended_ereal] :
( ( ( ! [SY704: extended_ereal] :
( ~ ( member1900190071_ereal @ SY704 @ SV60 )
| ( ord_le824540014_ereal @ SY704 @ SV192 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( sK2_SY424 @ SV60 ) @ SV192 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1161,plain,
! [SV158: extended_ereal,SV187: extended_ereal,SV62: extended_ereal,SV118: extended_ereal > extended_ereal] :
( ( ( ! [SY560: extended_ereal,SY561: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY560 @ SY561 )
| ( ord_le824540014_ereal @ ( SV118 @ SY560 ) @ ( SV118 @ SY561 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SV187 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV158 @ SV187 )
= $false )
| ( ( SV62
= ( SV118 @ SV158 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1162,plain,
! [SV160: extended_enat,SV188: extended_enat,SV64: extended_ereal,SV120: extended_enat > extended_ereal] :
( ( ( ! [SY565: extended_enat,SY566: extended_enat] :
( ~ ( ord_le1863327750d_enat @ SY565 @ SY566 )
| ( ord_le824540014_ereal @ ( SV120 @ SY565 ) @ ( SV120 @ SY566 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV188 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV160 @ SV188 )
= $false )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1163,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( SV70 = SV161 )
= $true )
| ( ( SV70 = SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1106]) ).
thf(1164,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) )
= $true )
| ( ( SV70 = SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1107]) ).
thf(1165,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) )
= $true )
| ( ( ~ ( ( SV70 != SV161 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1166,plain,
! [SV122: extended_ereal,SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( ! [SY265: extended_ereal,SY266: extended_ereal] :
( ~ ( SV12 @ SY266 @ SY265 )
| ( SV12 @ SY265 @ SY266 ) ) )
= $false )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( ord_le824540014_ereal @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1167,plain,
! [SV71: extended_ereal,SV122: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( ! [SY706: extended_ereal] :
( ~ ( SV12 @ SY706 @ ( sK12_SY265 @ SV122 @ SV71 @ SV12 ) )
| ( SV12 @ ( sK12_SY265 @ SV122 @ SV71 @ SV12 ) @ SY706 ) ) )
= $false )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( SV12 @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1110]) ).
thf(1168,plain,
! [SV72: extended_ereal > real,SV13: real,SV162: extended_ereal,SV123: extended_ereal] :
( ( ( ! [SY707: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK13_SY450 @ SV123 @ SV162 @ SV13 @ SV72 ) @ SY707 )
| ( ord_less_eq_real @ ( SV72 @ ( sK13_SY450 @ SV123 @ SV162 @ SV13 @ SV72 ) ) @ ( SV72 @ SY707 ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV13 @ ( SV72 @ SV162 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV123 @ SV162 )
= $false )
| ( ( SV13
= ( SV72 @ SV123 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1111]) ).
thf(1169,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV73 @ SV14 )
= $true )
| ( ( ord_le824540014_ereal @ SV73 @ SV14 )
= $false )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1112]) ).
thf(1170,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( SV73 = SV14 )
= $true )
| ( ( ord_le824540014_ereal @ SV73 @ SV14 )
= $false )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1113]) ).
thf(1171,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV73 @ SV14 )
= $true )
| ( ( SV73 = SV14 )
= $false )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1114]) ).
thf(1172,plain,
! [SV14: extended_ereal,SV73: extended_ereal] :
( ( ( SV73 = SV14 )
= $true )
| ( ( SV73 = SV14 )
= $false )
| ( ( ord_le824540014_ereal @ SV14 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1115]) ).
thf(1173,plain,
! [SV75: extended_ereal,SV124: extended_ereal > $o,SV16: extended_ereal > $o] :
( ( ( ~ ! [SY575: extended_ereal] :
( ~ ( SV16 @ SY575 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY575 ) )
| ( SV124 @ SY575 ) ) )
= $true )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1116]) ).
thf(1174,plain,
! [SV75: extended_ereal,SV124: extended_ereal > $o,SV16: extended_ereal > $o] :
( ( ( ! [SY575: extended_ereal] :
( ~ ( SV16 @ SY575 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY575 ) )
| ( SV124 @ SY575 ) ) )
= $false )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 )
= $false )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1175,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= $true )
| ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1118]) ).
thf(1176,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) )
= $true )
| ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1119]) ).
thf(1177,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1178,plain,
! [SV126: extended_ereal > extended_ereal,SV19: extended_ereal,SV164: extended_ereal,SV78: extended_ereal] :
( ( ( ! [SY708: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK14_SY578 @ SV78 @ SV164 @ SV19 @ SV126 ) @ SY708 )
| ( ord_le824540014_ereal @ ( SV126 @ ( sK14_SY578 @ SV78 @ SV164 @ SV19 @ SV126 ) ) @ ( SV126 @ SY708 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV126 @ SV19 ) @ SV164 )
= $true )
| ( ( ( SV126 @ SV78 )
= SV164 )
= $false )
| ( ( ord_le824540014_ereal @ SV19 @ SV78 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1121]) ).
thf(1179,plain,
! [SV79: extended_ereal > extended_ereal,SV194: extended_ereal,SV193: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV193 @ SV194 )
| ( ord_le824540014_ereal @ ( SV79 @ SV194 ) @ ( SV79 @ SV193 ) ) )
= $true )
| ( ( order_1408494002_ereal @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1122]) ).
thf(1180,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ~ ( order_1408494002_ereal @ SV79 )
| ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( sK8_SY461 @ SV79 ) @ ( sK11_SY702 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1123]) ).
thf(1181,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ~ ( order_1408494002_ereal @ SV79 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV79 @ ( sK11_SY702 @ SV79 ) ) @ ( SV79 @ ( sK8_SY461 @ SV79 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1124]) ).
thf(1182,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV79 @ ( sK11_SY702 @ SV79 ) ) @ ( SV79 @ ( sK8_SY461 @ SV79 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1124]) ).
thf(1183,plain,
! [SV127: nat > extended_ereal,SV21: nat,SV165: extended_ereal,SV80: nat] :
( ( ( ! [SY709: nat] :
( ~ ( ord_less_eq_nat @ ( sK15_SY581 @ SV80 @ SV165 @ SV21 @ SV127 ) @ SY709 )
| ( ord_le824540014_ereal @ ( SV127 @ ( sK15_SY581 @ SV80 @ SV165 @ SV21 @ SV127 ) ) @ ( SV127 @ SY709 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV127 @ SV21 ) @ SV165 )
= $true )
| ( ( ( SV127 @ SV80 )
= SV165 )
= $false )
| ( ( ord_less_eq_nat @ SV21 @ SV80 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1125]) ).
thf(1184,plain,
! [SV81: extended_enat > extended_ereal,SV22: extended_ereal,SV166: extended_enat,SV128: extended_enat] :
( ( ( ! [SY710: extended_enat] :
( ~ ( ord_le1863327750d_enat @ ( sK16_SY469 @ SV128 @ SV166 @ SV22 @ SV81 ) @ SY710 )
| ( ord_le824540014_ereal @ ( SV81 @ ( sK16_SY469 @ SV128 @ SV166 @ SV22 @ SV81 ) ) @ ( SV81 @ SY710 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SV166 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV128 @ SV166 )
= $false )
| ( ( SV22
= ( SV81 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1126]) ).
thf(1185,plain,
! [SV129: extended_enat > extended_ereal,SV23: extended_enat,SV167: extended_ereal,SV82: extended_enat] :
( ( ( ! [SY711: extended_enat] :
( ~ ( ord_le1863327750d_enat @ ( sK17_SY587 @ SV82 @ SV167 @ SV23 @ SV129 ) @ SY711 )
| ( ord_le824540014_ereal @ ( SV129 @ ( sK17_SY587 @ SV82 @ SV167 @ SV23 @ SV129 ) ) @ ( SV129 @ SY711 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV23 ) @ SV167 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV82 ) @ SV167 )
= $false )
| ( ( ord_le1863327750d_enat @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1127]) ).
thf(1186,plain,
! [SV25: set_Extended_ereal,SV190: extended_ereal] :
( ( ( ~ ( member1900190071_ereal @ ( sK18_SY703 @ SV190 @ SV25 ) @ SV25 )
| ( ord_le824540014_ereal @ SV190 @ ( sK18_SY703 @ SV190 @ SV25 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV190 @ ( sK1_SY305 @ SV25 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1129]) ).
thf(1187,plain,
! [SV84: extended_ereal > extended_enat,SV26: extended_enat,SV168: extended_ereal,SV131: extended_ereal] :
( ( ( ! [SY712: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK19_SY478 @ SV131 @ SV168 @ SV26 @ SV84 ) @ SY712 )
| ( ord_le1863327750d_enat @ ( SV84 @ ( sK19_SY478 @ SV131 @ SV168 @ SV26 @ SV84 ) ) @ ( SV84 @ SY712 ) ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SV168 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV131 @ SV168 )
= $false )
| ( ( SV26
= ( SV84 @ SV131 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1130]) ).
thf(1188,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1131]) ).
thf(1189,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1132]) ).
thf(1190,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1191,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1134]) ).
thf(1192,plain,
! [SV134: extended_ereal > real,SV29: extended_ereal,SV169: real,SV87: extended_ereal] :
( ( ( ! [SY713: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK20_SY596 @ SV87 @ SV169 @ SV29 @ SV134 ) @ SY713 )
| ( ord_less_eq_real @ ( SV134 @ ( sK20_SY596 @ SV87 @ SV169 @ SV29 @ SV134 ) ) @ ( SV134 @ SY713 ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( SV134 @ SV29 ) @ SV169 )
= $true )
| ( ( ord_less_eq_real @ ( SV134 @ SV87 ) @ SV169 )
= $false )
| ( ( ord_le824540014_ereal @ SV29 @ SV87 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1135]) ).
thf(1193,plain,
! [SV135: extended_ereal > real,SV30: extended_ereal,SV170: real,SV88: extended_ereal] :
( ( ( ! [SY714: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK21_SY599 @ SV88 @ SV170 @ SV30 @ SV135 ) @ SY714 )
| ( ord_less_eq_real @ ( SV135 @ ( sK21_SY599 @ SV88 @ SV170 @ SV30 @ SV135 ) ) @ ( SV135 @ SY714 ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( SV135 @ SV30 ) @ SV170 )
= $true )
| ( ( ( SV135 @ SV88 )
= SV170 )
= $false )
| ( ( ord_le824540014_ereal @ SV30 @ SV88 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1136]) ).
thf(1194,plain,
! [SV90: extended_ereal > nat,SV33: nat,SV171: extended_ereal,SV137: extended_ereal] :
( ( ( ! [SY715: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK22_SY493 @ SV137 @ SV171 @ SV33 @ SV90 ) @ SY715 )
| ( ord_less_eq_nat @ ( SV90 @ ( sK22_SY493 @ SV137 @ SV171 @ SV33 @ SV90 ) ) @ ( SV90 @ SY715 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV171 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV137 @ SV171 )
= $false )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV137 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1137]) ).
thf(1195,plain,
! [SV91: extended_ereal > extended_ereal,SV34: extended_ereal,SV172: extended_ereal,SV138: extended_ereal] :
( ( ( ! [SY716: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK23_SY497 @ SV138 @ SV172 @ SV34 @ SV91 ) @ SY716 )
| ( ord_le824540014_ereal @ ( SV91 @ ( sK23_SY497 @ SV138 @ SV172 @ SV34 @ SV91 ) ) @ ( SV91 @ SY716 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV172 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV138 @ SV172 )
= $false )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV138 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1138]) ).
thf(1196,plain,
! [SV93: nat > extended_ereal,SV36: extended_ereal,SV173: nat,SV139: nat] :
( ( ( ! [SY717: nat] :
( ~ ( ord_less_eq_nat @ ( sK24_SY501 @ SV139 @ SV173 @ SV36 @ SV93 ) @ SY717 )
| ( ord_le824540014_ereal @ ( SV93 @ ( sK24_SY501 @ SV139 @ SV173 @ SV36 @ SV93 ) ) @ ( SV93 @ SY717 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV173 ) )
= $true )
| ( ( ord_less_eq_nat @ SV139 @ SV173 )
= $false )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV139 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1139]) ).
thf(1197,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
= $false )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1198,plain,
! [SV37: extended_ereal > extended_ereal,SV140: extended_ereal,SV94: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV94 @ SV140 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
= $false )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1199,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV94 @ SV140 )
= $false )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1141]) ).
thf(1200,plain,
! [SV37: extended_ereal > extended_ereal,SV140: extended_ereal,SV94: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV94 @ SV140 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV94 @ SV140 )
= $false )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1141]) ).
thf(1201,plain,
! [SV95: nat > extended_ereal,SV38: extended_ereal,SV174: nat,SV141: nat] :
( ( ( ! [SY718: nat] :
( ~ ( ord_less_eq_nat @ ( sK25_SY506 @ SV141 @ SV174 @ SV38 @ SV95 ) @ SY718 )
| ( ord_le824540014_ereal @ ( SV95 @ ( sK25_SY506 @ SV141 @ SV174 @ SV38 @ SV95 ) ) @ ( SV95 @ SY718 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SV174 ) )
= $true )
| ( ( ord_less_eq_nat @ SV141 @ SV174 )
= $false )
| ( ( SV38
= ( SV95 @ SV141 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1142]) ).
thf(1202,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( SV96 = SV175 )
= $true )
| ( ( SV96 = SV175 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1143]) ).
thf(1203,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) )
= $true )
| ( ( SV96 = SV175 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1144]) ).
thf(1204,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) )
= $true )
| ( ( ~ ( ( SV96 != SV175 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1145]) ).
thf(1205,plain,
! [SV144: extended_ereal > nat,SV42: extended_ereal,SV176: nat,SV99: extended_ereal] :
( ( ( ! [SY719: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK26_SY614 @ SV99 @ SV176 @ SV42 @ SV144 ) @ SY719 )
| ( ord_less_eq_nat @ ( SV144 @ ( sK26_SY614 @ SV99 @ SV176 @ SV42 @ SV144 ) ) @ ( SV144 @ SY719 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV144 @ SV42 ) @ SV176 )
= $true )
| ( ( ( SV144 @ SV99 )
= SV176 )
= $false )
| ( ( ord_le824540014_ereal @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1146]) ).
thf(1206,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( SV100 = SV177 )
= $true )
| ( ( SV100 = SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1207,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) )
= $true )
| ( ( SV100 = SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1208,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $false )
| ( ( ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) )
= $true )
| ( ( ~ ( ( SV100 != SV177 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1209,plain,
! [SV148: extended_ereal > extended_enat,SV48: extended_ereal,SV178: extended_enat,SV105: extended_ereal] :
( ( ( ! [SY720: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK27_SY617 @ SV105 @ SV178 @ SV48 @ SV148 ) @ SY720 )
| ( ord_le1863327750d_enat @ ( SV148 @ ( sK27_SY617 @ SV105 @ SV178 @ SV48 @ SV148 ) ) @ ( SV148 @ SY720 ) ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ ( SV148 @ SV48 ) @ SV178 )
= $true )
| ( ( ( SV148 @ SV105 )
= SV178 )
= $false )
| ( ( ord_le824540014_ereal @ SV48 @ SV105 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1150]) ).
thf(1210,plain,
! [SV106: extended_ereal > nat,SV49: nat,SV179: extended_ereal,SV149: extended_ereal] :
( ( ( ! [SY721: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK28_SY527 @ SV149 @ SV179 @ SV49 @ SV106 ) @ SY721 )
| ( ord_less_eq_nat @ ( SV106 @ ( sK28_SY527 @ SV149 @ SV179 @ SV49 @ SV106 ) ) @ ( SV106 @ SY721 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV49 @ ( SV106 @ SV179 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV149 @ SV179 )
= $false )
| ( ( SV49
= ( SV106 @ SV149 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1151]) ).
thf(1211,plain,
! [SV150: extended_ereal > extended_ereal,SV52: extended_ereal,SV180: extended_ereal,SV109: extended_ereal] :
( ( ( ! [SY722: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK29_SY623 @ SV109 @ SV180 @ SV52 @ SV150 ) @ SY722 )
| ( ord_le824540014_ereal @ ( SV150 @ ( sK29_SY623 @ SV109 @ SV180 @ SV52 @ SV150 ) ) @ ( SV150 @ SY722 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV52 ) @ SV180 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV109 ) @ SV180 )
= $false )
| ( ( ord_le824540014_ereal @ SV52 @ SV109 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1152]) ).
thf(1212,plain,
! [SV152: extended_ereal > nat,SV54: extended_ereal,SV181: nat,SV111: extended_ereal] :
( ( ( ! [SY723: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK30_SY626 @ SV111 @ SV181 @ SV54 @ SV152 ) @ SY723 )
| ( ord_less_eq_nat @ ( SV152 @ ( sK30_SY626 @ SV111 @ SV181 @ SV54 @ SV152 ) ) @ ( SV152 @ SY723 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV152 @ SV54 ) @ SV181 )
= $true )
| ( ( ord_less_eq_nat @ ( SV152 @ SV111 ) @ SV181 )
= $false )
| ( ( ord_le824540014_ereal @ SV54 @ SV111 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1153]) ).
thf(1213,plain,
! [SV112: extended_ereal > extended_enat,SV55: extended_enat,SV182: extended_ereal,SV153: extended_ereal] :
( ( ( ! [SY724: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK31_SY540 @ SV153 @ SV182 @ SV55 @ SV112 ) @ SY724 )
| ( ord_le1863327750d_enat @ ( SV112 @ ( sK31_SY540 @ SV153 @ SV182 @ SV55 @ SV112 ) ) @ ( SV112 @ SY724 ) ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV182 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV153 @ SV182 )
= $false )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV153 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1154]) ).
thf(1214,plain,
! [SV154: extended_ereal > extended_enat,SV56: extended_ereal,SV183: extended_enat,SV113: extended_ereal] :
( ( ( ! [SY725: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK32_SY632 @ SV113 @ SV183 @ SV56 @ SV154 ) @ SY725 )
| ( ord_le1863327750d_enat @ ( SV154 @ ( sK32_SY632 @ SV113 @ SV183 @ SV56 @ SV154 ) ) @ ( SV154 @ SY725 ) ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV56 ) @ SV183 )
= $true )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV113 ) @ SV183 )
= $false )
| ( ( ord_le824540014_ereal @ SV56 @ SV113 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1155]) ).
thf(1215,plain,
! [SV155: extended_enat > extended_ereal,SV57: extended_enat,SV184: extended_ereal,SV114: extended_enat] :
( ( ( ! [SY726: extended_enat] :
( ~ ( ord_le1863327750d_enat @ ( sK33_SY635 @ SV114 @ SV184 @ SV57 @ SV155 ) @ SY726 )
| ( ord_le824540014_ereal @ ( SV155 @ ( sK33_SY635 @ SV114 @ SV184 @ SV57 @ SV155 ) ) @ ( SV155 @ SY726 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV155 @ SV57 ) @ SV184 )
= $true )
| ( ( ( SV155 @ SV114 )
= SV184 )
= $false )
| ( ( ord_le1863327750d_enat @ SV57 @ SV114 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1156]) ).
thf(1216,plain,
! [SV156: nat > extended_ereal,SV58: nat,SV185: extended_ereal,SV115: nat] :
( ( ( ! [SY727: nat] :
( ~ ( ord_less_eq_nat @ ( sK34_SY638 @ SV115 @ SV185 @ SV58 @ SV156 ) @ SY727 )
| ( ord_le824540014_ereal @ ( SV156 @ ( sK34_SY638 @ SV115 @ SV185 @ SV58 @ SV156 ) ) @ ( SV156 @ SY727 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV58 ) @ SV185 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV115 ) @ SV185 )
= $false )
| ( ( ord_less_eq_nat @ SV58 @ SV115 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1157]) ).
thf(1217,plain,
! [SV116: real > extended_ereal,SV59: extended_ereal,SV186: real,SV157: real] :
( ( ( ! [SY728: real] :
( ~ ( ord_less_eq_real @ ( sK35_SY556 @ SV157 @ SV186 @ SV59 @ SV116 ) @ SY728 )
| ( ord_le824540014_ereal @ ( SV116 @ ( sK35_SY556 @ SV157 @ SV186 @ SV59 @ SV116 ) ) @ ( SV116 @ SY728 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV186 ) )
= $true )
| ( ( ord_less_eq_real @ SV157 @ SV186 )
= $false )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV157 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1158]) ).
thf(1218,plain,
! [SV60: set_Extended_ereal,SV192: extended_ereal] :
( ( ( ~ ( member1900190071_ereal @ ( sK36_SY704 @ SV192 @ SV60 ) @ SV60 )
| ( ord_le824540014_ereal @ ( sK36_SY704 @ SV192 @ SV60 ) @ SV192 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( sK2_SY424 @ SV60 ) @ SV192 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1160]) ).
thf(1219,plain,
! [SV118: extended_ereal > extended_ereal,SV62: extended_ereal,SV187: extended_ereal,SV158: extended_ereal] :
( ( ( ! [SY729: extended_ereal] :
( ~ ( ord_le824540014_ereal @ ( sK37_SY560 @ SV158 @ SV187 @ SV62 @ SV118 ) @ SY729 )
| ( ord_le824540014_ereal @ ( SV118 @ ( sK37_SY560 @ SV158 @ SV187 @ SV62 @ SV118 ) ) @ ( SV118 @ SY729 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SV187 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV158 @ SV187 )
= $false )
| ( ( SV62
= ( SV118 @ SV158 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1161]) ).
thf(1220,plain,
! [SV120: extended_enat > extended_ereal,SV64: extended_ereal,SV188: extended_enat,SV160: extended_enat] :
( ( ( ! [SY730: extended_enat] :
( ~ ( ord_le1863327750d_enat @ ( sK38_SY565 @ SV160 @ SV188 @ SV64 @ SV120 ) @ SY730 )
| ( ord_le824540014_ereal @ ( SV120 @ ( sK38_SY565 @ SV160 @ SV188 @ SV64 @ SV120 ) ) @ ( SV120 @ SY730 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV188 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV160 @ SV188 )
= $false )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV160 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1162]) ).
thf(1221,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) )
= $false )
| ( ( SV70 = SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1222,plain,
! [SV70: extended_ereal,SV161: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV161 @ SV70 )
= $false )
| ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $false )
| ( ( ~ ( ( SV70 != SV161 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1223,plain,
! [SV71: extended_ereal,SV122: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( ! [SY731: extended_ereal] :
( ~ ( SV12 @ SY731 @ ( sK39_SY265 @ SV122 @ SV71 @ SV12 ) )
| ( SV12 @ ( sK39_SY265 @ SV122 @ SV71 @ SV12 ) @ SY731 ) ) )
= $false )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( ord_le824540014_ereal @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1166]) ).
thf(1224,plain,
! [SV122: extended_ereal,SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( ~ ( SV12 @ ( sK40_SY706 @ SV71 @ SV122 @ SV12 ) @ ( sK12_SY265 @ SV122 @ SV71 @ SV12 ) )
| ( SV12 @ ( sK12_SY265 @ SV122 @ SV71 @ SV12 ) @ ( sK40_SY706 @ SV71 @ SV122 @ SV12 ) ) )
= $false )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( SV12 @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1167]) ).
thf(1225,plain,
! [SV72: extended_ereal > real,SV13: real,SV162: extended_ereal,SV123: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK13_SY450 @ SV123 @ SV162 @ SV13 @ SV72 ) @ ( sK41_SY707 @ SV72 @ SV13 @ SV162 @ SV123 ) )
| ( ord_less_eq_real @ ( SV72 @ ( sK13_SY450 @ SV123 @ SV162 @ SV13 @ SV72 ) ) @ ( SV72 @ ( sK41_SY707 @ SV72 @ SV13 @ SV162 @ SV123 ) ) ) )
= $false )
| ( ( ord_less_eq_real @ SV13 @ ( SV72 @ SV162 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV123 @ SV162 )
= $false )
| ( ( SV13
= ( SV72 @ SV123 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1168]) ).
thf(1226,plain,
! [SV75: extended_ereal,SV124: extended_ereal > $o,SV16: extended_ereal > $o] :
( ( ( ! [SY575: extended_ereal] :
( ~ ( SV16 @ SY575 )
| ~ ! [SY278: extended_ereal] :
( ~ ( SV16 @ SY278 )
| ( ord_le824540014_ereal @ SY278 @ SY575 ) )
| ( SV124 @ SY575 ) ) )
= $false )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1227,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ( SV16 @ ( sK42_SY575 @ SV75 @ SV124 @ SV16 ) )
| ~ ! [SY732: extended_ereal] :
( ~ ( SV16 @ SY732 )
| ( ord_le824540014_ereal @ SY732 @ ( sK42_SY575 @ SV75 @ SV124 @ SV16 ) ) )
| ( SV124 @ ( sK42_SY575 @ SV75 @ SV124 @ SV16 ) ) )
= $false )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 )
= $false )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1174]) ).
thf(1228,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) )
= $false )
| ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1176]) ).
thf(1229,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $false )
| ( ( ~ ( ~ ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1177]) ).
thf(1230,plain,
! [SV126: extended_ereal > extended_ereal,SV19: extended_ereal,SV164: extended_ereal,SV78: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK14_SY578 @ SV78 @ SV164 @ SV19 @ SV126 ) @ ( sK43_SY708 @ SV126 @ SV19 @ SV164 @ SV78 ) )
| ( ord_le824540014_ereal @ ( SV126 @ ( sK14_SY578 @ SV78 @ SV164 @ SV19 @ SV126 ) ) @ ( SV126 @ ( sK43_SY708 @ SV126 @ SV19 @ SV164 @ SV78 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV126 @ SV19 ) @ SV164 )
= $true )
| ( ( ( SV126 @ SV78 )
= SV164 )
= $false )
| ( ( ord_le824540014_ereal @ SV19 @ SV78 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1178]) ).
thf(1231,plain,
! [SV79: extended_ereal > extended_ereal,SV194: extended_ereal,SV193: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV193 @ SV194 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV79 @ SV194 ) @ ( SV79 @ SV193 ) )
= $true )
| ( ( order_1408494002_ereal @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1179]) ).
thf(1232,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ~ ( order_1408494002_ereal @ SV79 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( sK8_SY461 @ SV79 ) @ ( sK11_SY702 @ SV79 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1180]) ).
thf(1233,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ~ ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( sK8_SY461 @ SV79 ) @ ( sK11_SY702 @ SV79 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1180]) ).
thf(1234,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( order_1408494002_ereal @ SV79 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV79 @ ( sK11_SY702 @ SV79 ) ) @ ( SV79 @ ( sK8_SY461 @ SV79 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1181]) ).
thf(1235,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV79 @ ( sK11_SY702 @ SV79 ) ) @ ( SV79 @ ( sK8_SY461 @ SV79 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1236,plain,
! [SV127: nat > extended_ereal,SV21: nat,SV165: extended_ereal,SV80: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK15_SY581 @ SV80 @ SV165 @ SV21 @ SV127 ) @ ( sK44_SY709 @ SV127 @ SV21 @ SV165 @ SV80 ) )
| ( ord_le824540014_ereal @ ( SV127 @ ( sK15_SY581 @ SV80 @ SV165 @ SV21 @ SV127 ) ) @ ( SV127 @ ( sK44_SY709 @ SV127 @ SV21 @ SV165 @ SV80 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV127 @ SV21 ) @ SV165 )
= $true )
| ( ( ( SV127 @ SV80 )
= SV165 )
= $false )
| ( ( ord_less_eq_nat @ SV21 @ SV80 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1183]) ).
thf(1237,plain,
! [SV81: extended_enat > extended_ereal,SV22: extended_ereal,SV166: extended_enat,SV128: extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ ( sK16_SY469 @ SV128 @ SV166 @ SV22 @ SV81 ) @ ( sK45_SY710 @ SV81 @ SV22 @ SV166 @ SV128 ) )
| ( ord_le824540014_ereal @ ( SV81 @ ( sK16_SY469 @ SV128 @ SV166 @ SV22 @ SV81 ) ) @ ( SV81 @ ( sK45_SY710 @ SV81 @ SV22 @ SV166 @ SV128 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SV166 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV128 @ SV166 )
= $false )
| ( ( SV22
= ( SV81 @ SV128 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1184]) ).
thf(1238,plain,
! [SV129: extended_enat > extended_ereal,SV23: extended_enat,SV167: extended_ereal,SV82: extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ ( sK17_SY587 @ SV82 @ SV167 @ SV23 @ SV129 ) @ ( sK46_SY711 @ SV129 @ SV23 @ SV167 @ SV82 ) )
| ( ord_le824540014_ereal @ ( SV129 @ ( sK17_SY587 @ SV82 @ SV167 @ SV23 @ SV129 ) ) @ ( SV129 @ ( sK46_SY711 @ SV129 @ SV23 @ SV167 @ SV82 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV23 ) @ SV167 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV82 ) @ SV167 )
= $false )
| ( ( ord_le1863327750d_enat @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1185]) ).
thf(1239,plain,
! [SV25: set_Extended_ereal,SV190: extended_ereal] :
( ( ( ~ ( member1900190071_ereal @ ( sK18_SY703 @ SV190 @ SV25 ) @ SV25 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV190 @ ( sK1_SY305 @ SV25 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1240,plain,
! [SV25: set_Extended_ereal,SV190: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV190 @ ( sK18_SY703 @ SV190 @ SV25 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV190 @ ( sK1_SY305 @ SV25 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1241,plain,
! [SV84: extended_ereal > extended_enat,SV26: extended_enat,SV168: extended_ereal,SV131: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK19_SY478 @ SV131 @ SV168 @ SV26 @ SV84 ) @ ( sK47_SY712 @ SV84 @ SV26 @ SV168 @ SV131 ) )
| ( ord_le1863327750d_enat @ ( SV84 @ ( sK19_SY478 @ SV131 @ SV168 @ SV26 @ SV84 ) ) @ ( SV84 @ ( sK47_SY712 @ SV84 @ SV26 @ SV168 @ SV131 ) ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SV168 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV131 @ SV168 )
= $false )
| ( ( SV26
= ( SV84 @ SV131 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1187]) ).
thf(1242,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1188]) ).
thf(1243,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1244,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1190]) ).
thf(1245,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1246,plain,
! [SV134: extended_ereal > real,SV29: extended_ereal,SV169: real,SV87: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK20_SY596 @ SV87 @ SV169 @ SV29 @ SV134 ) @ ( sK48_SY713 @ SV134 @ SV29 @ SV169 @ SV87 ) )
| ( ord_less_eq_real @ ( SV134 @ ( sK20_SY596 @ SV87 @ SV169 @ SV29 @ SV134 ) ) @ ( SV134 @ ( sK48_SY713 @ SV134 @ SV29 @ SV169 @ SV87 ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( SV134 @ SV29 ) @ SV169 )
= $true )
| ( ( ord_less_eq_real @ ( SV134 @ SV87 ) @ SV169 )
= $false )
| ( ( ord_le824540014_ereal @ SV29 @ SV87 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1192]) ).
thf(1247,plain,
! [SV135: extended_ereal > real,SV30: extended_ereal,SV170: real,SV88: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK21_SY599 @ SV88 @ SV170 @ SV30 @ SV135 ) @ ( sK49_SY714 @ SV135 @ SV30 @ SV170 @ SV88 ) )
| ( ord_less_eq_real @ ( SV135 @ ( sK21_SY599 @ SV88 @ SV170 @ SV30 @ SV135 ) ) @ ( SV135 @ ( sK49_SY714 @ SV135 @ SV30 @ SV170 @ SV88 ) ) ) )
= $false )
| ( ( ord_less_eq_real @ ( SV135 @ SV30 ) @ SV170 )
= $true )
| ( ( ( SV135 @ SV88 )
= SV170 )
= $false )
| ( ( ord_le824540014_ereal @ SV30 @ SV88 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1193]) ).
thf(1248,plain,
! [SV90: extended_ereal > nat,SV33: nat,SV171: extended_ereal,SV137: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK22_SY493 @ SV137 @ SV171 @ SV33 @ SV90 ) @ ( sK50_SY715 @ SV90 @ SV33 @ SV171 @ SV137 ) )
| ( ord_less_eq_nat @ ( SV90 @ ( sK22_SY493 @ SV137 @ SV171 @ SV33 @ SV90 ) ) @ ( SV90 @ ( sK50_SY715 @ SV90 @ SV33 @ SV171 @ SV137 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV171 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV137 @ SV171 )
= $false )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV137 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1194]) ).
thf(1249,plain,
! [SV91: extended_ereal > extended_ereal,SV34: extended_ereal,SV172: extended_ereal,SV138: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK23_SY497 @ SV138 @ SV172 @ SV34 @ SV91 ) @ ( sK51_SY716 @ SV91 @ SV34 @ SV172 @ SV138 ) )
| ( ord_le824540014_ereal @ ( SV91 @ ( sK23_SY497 @ SV138 @ SV172 @ SV34 @ SV91 ) ) @ ( SV91 @ ( sK51_SY716 @ SV91 @ SV34 @ SV172 @ SV138 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV172 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV138 @ SV172 )
= $false )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV138 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1195]) ).
thf(1250,plain,
! [SV93: nat > extended_ereal,SV36: extended_ereal,SV173: nat,SV139: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK24_SY501 @ SV139 @ SV173 @ SV36 @ SV93 ) @ ( sK52_SY717 @ SV93 @ SV36 @ SV173 @ SV139 ) )
| ( ord_le824540014_ereal @ ( SV93 @ ( sK24_SY501 @ SV139 @ SV173 @ SV36 @ SV93 ) ) @ ( SV93 @ ( sK52_SY717 @ SV93 @ SV36 @ SV173 @ SV139 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV173 ) )
= $true )
| ( ( ord_less_eq_nat @ SV139 @ SV173 )
= $false )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV139 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1196]) ).
thf(1251,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
= $false )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1197]) ).
thf(1252,plain,
! [SV37: extended_ereal > extended_ereal,SV140: extended_ereal,SV94: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV94 @ SV140 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
= $false )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1253,plain,
! [SV140: extended_ereal,SV94: extended_ereal,SV37: extended_ereal > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV37 @ SV94 ) @ ( SV37 @ SV140 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV94 @ SV140 )
= $false )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1254,plain,
! [SV37: extended_ereal > extended_ereal,SV140: extended_ereal,SV94: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV94 @ SV140 )
= $true )
| ( ( ord_le824540014_ereal @ SV94 @ SV140 )
= $false )
| ( ( order_555877177_ereal @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1200]) ).
thf(1255,plain,
! [SV95: nat > extended_ereal,SV38: extended_ereal,SV174: nat,SV141: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK25_SY506 @ SV141 @ SV174 @ SV38 @ SV95 ) @ ( sK53_SY718 @ SV95 @ SV38 @ SV174 @ SV141 ) )
| ( ord_le824540014_ereal @ ( SV95 @ ( sK25_SY506 @ SV141 @ SV174 @ SV38 @ SV95 ) ) @ ( SV95 @ ( sK53_SY718 @ SV95 @ SV38 @ SV174 @ SV141 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SV174 ) )
= $true )
| ( ( ord_less_eq_nat @ SV141 @ SV174 )
= $false )
| ( ( SV38
= ( SV95 @ SV141 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1201]) ).
thf(1256,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) )
= $false )
| ( ( SV96 = SV175 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1257,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV96 @ SV175 )
= $false )
| ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $false )
| ( ( ~ ( ( SV96 != SV175 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1258,plain,
! [SV144: extended_ereal > nat,SV42: extended_ereal,SV176: nat,SV99: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK26_SY614 @ SV99 @ SV176 @ SV42 @ SV144 ) @ ( sK54_SY719 @ SV144 @ SV42 @ SV176 @ SV99 ) )
| ( ord_less_eq_nat @ ( SV144 @ ( sK26_SY614 @ SV99 @ SV176 @ SV42 @ SV144 ) ) @ ( SV144 @ ( sK54_SY719 @ SV144 @ SV42 @ SV176 @ SV99 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV144 @ SV42 ) @ SV176 )
= $true )
| ( ( ( SV144 @ SV99 )
= SV176 )
= $false )
| ( ( ord_le824540014_ereal @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1205]) ).
thf(1259,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) )
= $false )
| ( ( SV100 = SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1260,plain,
! [SV100: extended_ereal,SV177: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV177 @ SV100 )
= $false )
| ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $false )
| ( ( ~ ( ( SV100 != SV177 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1261,plain,
! [SV148: extended_ereal > extended_enat,SV48: extended_ereal,SV178: extended_enat,SV105: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK27_SY617 @ SV105 @ SV178 @ SV48 @ SV148 ) @ ( sK55_SY720 @ SV148 @ SV48 @ SV178 @ SV105 ) )
| ( ord_le1863327750d_enat @ ( SV148 @ ( sK27_SY617 @ SV105 @ SV178 @ SV48 @ SV148 ) ) @ ( SV148 @ ( sK55_SY720 @ SV148 @ SV48 @ SV178 @ SV105 ) ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ ( SV148 @ SV48 ) @ SV178 )
= $true )
| ( ( ( SV148 @ SV105 )
= SV178 )
= $false )
| ( ( ord_le824540014_ereal @ SV48 @ SV105 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1209]) ).
thf(1262,plain,
! [SV106: extended_ereal > nat,SV49: nat,SV179: extended_ereal,SV149: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK28_SY527 @ SV149 @ SV179 @ SV49 @ SV106 ) @ ( sK56_SY721 @ SV106 @ SV49 @ SV179 @ SV149 ) )
| ( ord_less_eq_nat @ ( SV106 @ ( sK28_SY527 @ SV149 @ SV179 @ SV49 @ SV106 ) ) @ ( SV106 @ ( sK56_SY721 @ SV106 @ SV49 @ SV179 @ SV149 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV49 @ ( SV106 @ SV179 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV149 @ SV179 )
= $false )
| ( ( SV49
= ( SV106 @ SV149 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1210]) ).
thf(1263,plain,
! [SV150: extended_ereal > extended_ereal,SV52: extended_ereal,SV180: extended_ereal,SV109: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK29_SY623 @ SV109 @ SV180 @ SV52 @ SV150 ) @ ( sK57_SY722 @ SV150 @ SV52 @ SV180 @ SV109 ) )
| ( ord_le824540014_ereal @ ( SV150 @ ( sK29_SY623 @ SV109 @ SV180 @ SV52 @ SV150 ) ) @ ( SV150 @ ( sK57_SY722 @ SV150 @ SV52 @ SV180 @ SV109 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV52 ) @ SV180 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV109 ) @ SV180 )
= $false )
| ( ( ord_le824540014_ereal @ SV52 @ SV109 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1211]) ).
thf(1264,plain,
! [SV152: extended_ereal > nat,SV54: extended_ereal,SV181: nat,SV111: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK30_SY626 @ SV111 @ SV181 @ SV54 @ SV152 ) @ ( sK58_SY723 @ SV152 @ SV54 @ SV181 @ SV111 ) )
| ( ord_less_eq_nat @ ( SV152 @ ( sK30_SY626 @ SV111 @ SV181 @ SV54 @ SV152 ) ) @ ( SV152 @ ( sK58_SY723 @ SV152 @ SV54 @ SV181 @ SV111 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV152 @ SV54 ) @ SV181 )
= $true )
| ( ( ord_less_eq_nat @ ( SV152 @ SV111 ) @ SV181 )
= $false )
| ( ( ord_le824540014_ereal @ SV54 @ SV111 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1212]) ).
thf(1265,plain,
! [SV112: extended_ereal > extended_enat,SV55: extended_enat,SV182: extended_ereal,SV153: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK31_SY540 @ SV153 @ SV182 @ SV55 @ SV112 ) @ ( sK59_SY724 @ SV112 @ SV55 @ SV182 @ SV153 ) )
| ( ord_le1863327750d_enat @ ( SV112 @ ( sK31_SY540 @ SV153 @ SV182 @ SV55 @ SV112 ) ) @ ( SV112 @ ( sK59_SY724 @ SV112 @ SV55 @ SV182 @ SV153 ) ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV182 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV153 @ SV182 )
= $false )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV153 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1213]) ).
thf(1266,plain,
! [SV154: extended_ereal > extended_enat,SV56: extended_ereal,SV183: extended_enat,SV113: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK32_SY632 @ SV113 @ SV183 @ SV56 @ SV154 ) @ ( sK60_SY725 @ SV154 @ SV56 @ SV183 @ SV113 ) )
| ( ord_le1863327750d_enat @ ( SV154 @ ( sK32_SY632 @ SV113 @ SV183 @ SV56 @ SV154 ) ) @ ( SV154 @ ( sK60_SY725 @ SV154 @ SV56 @ SV183 @ SV113 ) ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV56 ) @ SV183 )
= $true )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV113 ) @ SV183 )
= $false )
| ( ( ord_le824540014_ereal @ SV56 @ SV113 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1214]) ).
thf(1267,plain,
! [SV155: extended_enat > extended_ereal,SV57: extended_enat,SV184: extended_ereal,SV114: extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ ( sK33_SY635 @ SV114 @ SV184 @ SV57 @ SV155 ) @ ( sK61_SY726 @ SV155 @ SV57 @ SV184 @ SV114 ) )
| ( ord_le824540014_ereal @ ( SV155 @ ( sK33_SY635 @ SV114 @ SV184 @ SV57 @ SV155 ) ) @ ( SV155 @ ( sK61_SY726 @ SV155 @ SV57 @ SV184 @ SV114 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV155 @ SV57 ) @ SV184 )
= $true )
| ( ( ( SV155 @ SV114 )
= SV184 )
= $false )
| ( ( ord_le1863327750d_enat @ SV57 @ SV114 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1215]) ).
thf(1268,plain,
! [SV156: nat > extended_ereal,SV58: nat,SV185: extended_ereal,SV115: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK34_SY638 @ SV115 @ SV185 @ SV58 @ SV156 ) @ ( sK62_SY727 @ SV156 @ SV58 @ SV185 @ SV115 ) )
| ( ord_le824540014_ereal @ ( SV156 @ ( sK34_SY638 @ SV115 @ SV185 @ SV58 @ SV156 ) ) @ ( SV156 @ ( sK62_SY727 @ SV156 @ SV58 @ SV185 @ SV115 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV58 ) @ SV185 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV115 ) @ SV185 )
= $false )
| ( ( ord_less_eq_nat @ SV58 @ SV115 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1216]) ).
thf(1269,plain,
! [SV116: real > extended_ereal,SV59: extended_ereal,SV186: real,SV157: real] :
( ( ( ~ ( ord_less_eq_real @ ( sK35_SY556 @ SV157 @ SV186 @ SV59 @ SV116 ) @ ( sK63_SY728 @ SV116 @ SV59 @ SV186 @ SV157 ) )
| ( ord_le824540014_ereal @ ( SV116 @ ( sK35_SY556 @ SV157 @ SV186 @ SV59 @ SV116 ) ) @ ( SV116 @ ( sK63_SY728 @ SV116 @ SV59 @ SV186 @ SV157 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV186 ) )
= $true )
| ( ( ord_less_eq_real @ SV157 @ SV186 )
= $false )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV157 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1217]) ).
thf(1270,plain,
! [SV60: set_Extended_ereal,SV192: extended_ereal] :
( ( ( ~ ( member1900190071_ereal @ ( sK36_SY704 @ SV192 @ SV60 ) @ SV60 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( sK2_SY424 @ SV60 ) @ SV192 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1271,plain,
! [SV60: set_Extended_ereal,SV192: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK36_SY704 @ SV192 @ SV60 ) @ SV192 )
= $false )
| ( ( ord_le824540014_ereal @ ( sK2_SY424 @ SV60 ) @ SV192 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1272,plain,
! [SV118: extended_ereal > extended_ereal,SV62: extended_ereal,SV187: extended_ereal,SV158: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK37_SY560 @ SV158 @ SV187 @ SV62 @ SV118 ) @ ( sK64_SY729 @ SV118 @ SV62 @ SV187 @ SV158 ) )
| ( ord_le824540014_ereal @ ( SV118 @ ( sK37_SY560 @ SV158 @ SV187 @ SV62 @ SV118 ) ) @ ( SV118 @ ( sK64_SY729 @ SV118 @ SV62 @ SV187 @ SV158 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SV187 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV158 @ SV187 )
= $false )
| ( ( SV62
= ( SV118 @ SV158 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1219]) ).
thf(1273,plain,
! [SV120: extended_enat > extended_ereal,SV64: extended_ereal,SV188: extended_enat,SV160: extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ ( sK38_SY565 @ SV160 @ SV188 @ SV64 @ SV120 ) @ ( sK65_SY730 @ SV120 @ SV64 @ SV188 @ SV160 ) )
| ( ord_le824540014_ereal @ ( SV120 @ ( sK38_SY565 @ SV160 @ SV188 @ SV64 @ SV120 ) ) @ ( SV120 @ ( sK65_SY730 @ SV120 @ SV64 @ SV188 @ SV160 ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV188 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV160 @ SV188 )
= $false )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV160 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1220]) ).
thf(1274,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 ) )
= $false )
| ( ( SV70 = SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1221]) ).
thf(1275,plain,
! [SV70: extended_ereal,SV161: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) )
= $false )
| ( ( SV70 = SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1221]) ).
thf(1276,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ( SV70 != SV161 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $false )
| ( ( ord_le824540014_ereal @ SV161 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1277,plain,
! [SV122: extended_ereal,SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( ~ ( SV12 @ ( sK66_SY731 @ SV71 @ SV122 @ SV12 ) @ ( sK39_SY265 @ SV122 @ SV71 @ SV12 ) )
| ( SV12 @ ( sK39_SY265 @ SV122 @ SV71 @ SV12 ) @ ( sK66_SY731 @ SV71 @ SV122 @ SV12 ) ) )
= $false )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( ord_le824540014_ereal @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1223]) ).
thf(1278,plain,
! [SV122: extended_ereal,SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( ~ ( SV12 @ ( sK40_SY706 @ SV71 @ SV122 @ SV12 ) @ ( sK12_SY265 @ SV122 @ SV71 @ SV12 ) ) )
= $false )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( SV12 @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1279,plain,
! [SV71: extended_ereal,SV122: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( SV12 @ ( sK12_SY265 @ SV122 @ SV71 @ SV12 ) @ ( sK40_SY706 @ SV71 @ SV122 @ SV12 ) )
= $false )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( SV12 @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1280,plain,
! [SV72: extended_ereal > real,SV13: real,SV162: extended_ereal,SV123: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK13_SY450 @ SV123 @ SV162 @ SV13 @ SV72 ) @ ( sK41_SY707 @ SV72 @ SV13 @ SV162 @ SV123 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV13 @ ( SV72 @ SV162 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV123 @ SV162 )
= $false )
| ( ( SV13
= ( SV72 @ SV123 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1225]) ).
thf(1281,plain,
! [SV13: real,SV162: extended_ereal,SV123: extended_ereal,SV72: extended_ereal > real] :
( ( ( ord_less_eq_real @ ( SV72 @ ( sK13_SY450 @ SV123 @ SV162 @ SV13 @ SV72 ) ) @ ( SV72 @ ( sK41_SY707 @ SV72 @ SV13 @ SV162 @ SV123 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV13 @ ( SV72 @ SV162 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV123 @ SV162 )
= $false )
| ( ( SV13
= ( SV72 @ SV123 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1225]) ).
thf(1282,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ( SV16 @ ( sK67_SY575 @ SV75 @ SV124 @ SV16 ) )
| ~ ! [SY733: extended_ereal] :
( ~ ( SV16 @ SY733 )
| ( ord_le824540014_ereal @ SY733 @ ( sK67_SY575 @ SV75 @ SV124 @ SV16 ) ) )
| ( SV124 @ ( sK67_SY575 @ SV75 @ SV124 @ SV16 ) ) )
= $false )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1226]) ).
thf(1283,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ( SV16 @ ( sK42_SY575 @ SV75 @ SV124 @ SV16 ) ) )
= $false )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 )
= $false )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1284,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ! [SY732: extended_ereal] :
( ~ ( SV16 @ SY732 )
| ( ord_le824540014_ereal @ SY732 @ ( sK42_SY575 @ SV75 @ SV124 @ SV16 ) ) )
| ( SV124 @ ( sK42_SY575 @ SV75 @ SV124 @ SV16 ) ) )
= $false )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 )
= $false )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1285,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) ) )
= $false )
| ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1286,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) )
= $false )
| ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1287,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ord_le637473275_ereal @ SV76 @ SV163 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1288,plain,
! [SV126: extended_ereal > extended_ereal,SV19: extended_ereal,SV164: extended_ereal,SV78: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK14_SY578 @ SV78 @ SV164 @ SV19 @ SV126 ) @ ( sK43_SY708 @ SV126 @ SV19 @ SV164 @ SV78 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV126 @ SV19 ) @ SV164 )
= $true )
| ( ( ( SV126 @ SV78 )
= SV164 )
= $false )
| ( ( ord_le824540014_ereal @ SV19 @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1230]) ).
thf(1289,plain,
! [SV19: extended_ereal,SV164: extended_ereal,SV78: extended_ereal,SV126: extended_ereal > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV126 @ ( sK14_SY578 @ SV78 @ SV164 @ SV19 @ SV126 ) ) @ ( SV126 @ ( sK43_SY708 @ SV126 @ SV19 @ SV164 @ SV78 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV126 @ SV19 ) @ SV164 )
= $true )
| ( ( ( SV126 @ SV78 )
= SV164 )
= $false )
| ( ( ord_le824540014_ereal @ SV19 @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1230]) ).
thf(1290,plain,
! [SV79: extended_ereal > extended_ereal,SV194: extended_ereal,SV193: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV193 @ SV194 )
= $false )
| ( ( ord_le824540014_ereal @ ( SV79 @ SV194 ) @ ( SV79 @ SV193 ) )
= $true )
| ( ( order_1408494002_ereal @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1291,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( order_1408494002_ereal @ SV79 )
= $true )
| ( ( ord_le824540014_ereal @ ( sK8_SY461 @ SV79 ) @ ( sK11_SY702 @ SV79 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1232]) ).
thf(1292,plain,
! [SV79: extended_ereal > extended_ereal] :
( ( ( ! [SY461: extended_ereal,SY462: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SY461 @ SY462 )
| ( ord_le824540014_ereal @ ( SV79 @ SY462 ) @ ( SV79 @ SY461 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK8_SY461 @ SV79 ) @ ( sK11_SY702 @ SV79 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1233]) ).
thf(1293,plain,
! [SV79: extended_ereal > extended_ereal,SV195: extended_ereal] :
( ( ( ! [SY734: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV195 @ SY734 )
| ( ord_le824540014_ereal @ ( SV79 @ SY734 ) @ ( SV79 @ SV195 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV79 @ ( sK11_SY702 @ SV79 ) ) @ ( SV79 @ ( sK8_SY461 @ SV79 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1235]) ).
thf(1294,plain,
! [SV127: nat > extended_ereal,SV21: nat,SV165: extended_ereal,SV80: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK15_SY581 @ SV80 @ SV165 @ SV21 @ SV127 ) @ ( sK44_SY709 @ SV127 @ SV21 @ SV165 @ SV80 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV127 @ SV21 ) @ SV165 )
= $true )
| ( ( ( SV127 @ SV80 )
= SV165 )
= $false )
| ( ( ord_less_eq_nat @ SV21 @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1236]) ).
thf(1295,plain,
! [SV21: nat,SV165: extended_ereal,SV80: nat,SV127: nat > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV127 @ ( sK15_SY581 @ SV80 @ SV165 @ SV21 @ SV127 ) ) @ ( SV127 @ ( sK44_SY709 @ SV127 @ SV21 @ SV165 @ SV80 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV127 @ SV21 ) @ SV165 )
= $true )
| ( ( ( SV127 @ SV80 )
= SV165 )
= $false )
| ( ( ord_less_eq_nat @ SV21 @ SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1236]) ).
thf(1296,plain,
! [SV81: extended_enat > extended_ereal,SV22: extended_ereal,SV166: extended_enat,SV128: extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ ( sK16_SY469 @ SV128 @ SV166 @ SV22 @ SV81 ) @ ( sK45_SY710 @ SV81 @ SV22 @ SV166 @ SV128 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SV166 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV128 @ SV166 )
= $false )
| ( ( SV22
= ( SV81 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1297,plain,
! [SV22: extended_ereal,SV166: extended_enat,SV128: extended_enat,SV81: extended_enat > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV81 @ ( sK16_SY469 @ SV128 @ SV166 @ SV22 @ SV81 ) ) @ ( SV81 @ ( sK45_SY710 @ SV81 @ SV22 @ SV166 @ SV128 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SV166 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV128 @ SV166 )
= $false )
| ( ( SV22
= ( SV81 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1298,plain,
! [SV129: extended_enat > extended_ereal,SV23: extended_enat,SV167: extended_ereal,SV82: extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ ( sK17_SY587 @ SV82 @ SV167 @ SV23 @ SV129 ) @ ( sK46_SY711 @ SV129 @ SV23 @ SV167 @ SV82 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV23 ) @ SV167 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV82 ) @ SV167 )
= $false )
| ( ( ord_le1863327750d_enat @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1299,plain,
! [SV23: extended_enat,SV167: extended_ereal,SV82: extended_enat,SV129: extended_enat > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV129 @ ( sK17_SY587 @ SV82 @ SV167 @ SV23 @ SV129 ) ) @ ( SV129 @ ( sK46_SY711 @ SV129 @ SV23 @ SV167 @ SV82 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV23 ) @ SV167 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV82 ) @ SV167 )
= $false )
| ( ( ord_le1863327750d_enat @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1300,plain,
! [SV25: set_Extended_ereal,SV190: extended_ereal] :
( ( ( member1900190071_ereal @ ( sK18_SY703 @ SV190 @ SV25 ) @ SV25 )
= $true )
| ( ( ord_le824540014_ereal @ SV190 @ ( sK1_SY305 @ SV25 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1239]) ).
thf(1301,plain,
! [SV84: extended_ereal > extended_enat,SV26: extended_enat,SV168: extended_ereal,SV131: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK19_SY478 @ SV131 @ SV168 @ SV26 @ SV84 ) @ ( sK47_SY712 @ SV84 @ SV26 @ SV168 @ SV131 ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SV168 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV131 @ SV168 )
= $false )
| ( ( SV26
= ( SV84 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1241]) ).
thf(1302,plain,
! [SV26: extended_enat,SV168: extended_ereal,SV131: extended_ereal,SV84: extended_ereal > extended_enat] :
( ( ( ord_le1863327750d_enat @ ( SV84 @ ( sK19_SY478 @ SV131 @ SV168 @ SV26 @ SV84 ) ) @ ( SV84 @ ( sK47_SY712 @ SV84 @ SV26 @ SV168 @ SV131 ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SV168 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV131 @ SV168 )
= $false )
| ( ( SV26
= ( SV84 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1241]) ).
thf(1303,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1304,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1305,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1306,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1307,plain,
! [SV134: extended_ereal > real,SV29: extended_ereal,SV169: real,SV87: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK20_SY596 @ SV87 @ SV169 @ SV29 @ SV134 ) @ ( sK48_SY713 @ SV134 @ SV29 @ SV169 @ SV87 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( SV134 @ SV29 ) @ SV169 )
= $true )
| ( ( ord_less_eq_real @ ( SV134 @ SV87 ) @ SV169 )
= $false )
| ( ( ord_le824540014_ereal @ SV29 @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1246]) ).
thf(1308,plain,
! [SV29: extended_ereal,SV169: real,SV87: extended_ereal,SV134: extended_ereal > real] :
( ( ( ord_less_eq_real @ ( SV134 @ ( sK20_SY596 @ SV87 @ SV169 @ SV29 @ SV134 ) ) @ ( SV134 @ ( sK48_SY713 @ SV134 @ SV29 @ SV169 @ SV87 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( SV134 @ SV29 ) @ SV169 )
= $true )
| ( ( ord_less_eq_real @ ( SV134 @ SV87 ) @ SV169 )
= $false )
| ( ( ord_le824540014_ereal @ SV29 @ SV87 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1246]) ).
thf(1309,plain,
! [SV135: extended_ereal > real,SV30: extended_ereal,SV170: real,SV88: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK21_SY599 @ SV88 @ SV170 @ SV30 @ SV135 ) @ ( sK49_SY714 @ SV135 @ SV30 @ SV170 @ SV88 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( SV135 @ SV30 ) @ SV170 )
= $true )
| ( ( ( SV135 @ SV88 )
= SV170 )
= $false )
| ( ( ord_le824540014_ereal @ SV30 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1247]) ).
thf(1310,plain,
! [SV30: extended_ereal,SV170: real,SV88: extended_ereal,SV135: extended_ereal > real] :
( ( ( ord_less_eq_real @ ( SV135 @ ( sK21_SY599 @ SV88 @ SV170 @ SV30 @ SV135 ) ) @ ( SV135 @ ( sK49_SY714 @ SV135 @ SV30 @ SV170 @ SV88 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( SV135 @ SV30 ) @ SV170 )
= $true )
| ( ( ( SV135 @ SV88 )
= SV170 )
= $false )
| ( ( ord_le824540014_ereal @ SV30 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1247]) ).
thf(1311,plain,
! [SV90: extended_ereal > nat,SV33: nat,SV171: extended_ereal,SV137: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK22_SY493 @ SV137 @ SV171 @ SV33 @ SV90 ) @ ( sK50_SY715 @ SV90 @ SV33 @ SV171 @ SV137 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV171 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV137 @ SV171 )
= $false )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1248]) ).
thf(1312,plain,
! [SV33: nat,SV171: extended_ereal,SV137: extended_ereal,SV90: extended_ereal > nat] :
( ( ( ord_less_eq_nat @ ( SV90 @ ( sK22_SY493 @ SV137 @ SV171 @ SV33 @ SV90 ) ) @ ( SV90 @ ( sK50_SY715 @ SV90 @ SV33 @ SV171 @ SV137 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV171 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV137 @ SV171 )
= $false )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1248]) ).
thf(1313,plain,
! [SV91: extended_ereal > extended_ereal,SV34: extended_ereal,SV172: extended_ereal,SV138: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK23_SY497 @ SV138 @ SV172 @ SV34 @ SV91 ) @ ( sK51_SY716 @ SV91 @ SV34 @ SV172 @ SV138 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV172 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV138 @ SV172 )
= $false )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV138 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1249]) ).
thf(1314,plain,
! [SV34: extended_ereal,SV172: extended_ereal,SV138: extended_ereal,SV91: extended_ereal > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV91 @ ( sK23_SY497 @ SV138 @ SV172 @ SV34 @ SV91 ) ) @ ( SV91 @ ( sK51_SY716 @ SV91 @ SV34 @ SV172 @ SV138 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV172 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV138 @ SV172 )
= $false )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV138 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1249]) ).
thf(1315,plain,
! [SV93: nat > extended_ereal,SV36: extended_ereal,SV173: nat,SV139: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK24_SY501 @ SV139 @ SV173 @ SV36 @ SV93 ) @ ( sK52_SY717 @ SV93 @ SV36 @ SV173 @ SV139 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV173 ) )
= $true )
| ( ( ord_less_eq_nat @ SV139 @ SV173 )
= $false )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV139 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1250]) ).
thf(1316,plain,
! [SV36: extended_ereal,SV173: nat,SV139: nat,SV93: nat > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV93 @ ( sK24_SY501 @ SV139 @ SV173 @ SV36 @ SV93 ) ) @ ( SV93 @ ( sK52_SY717 @ SV93 @ SV36 @ SV173 @ SV139 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV173 ) )
= $true )
| ( ( ord_less_eq_nat @ SV139 @ SV173 )
= $false )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV139 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1250]) ).
thf(1317,plain,
! [SV95: nat > extended_ereal,SV38: extended_ereal,SV174: nat,SV141: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK25_SY506 @ SV141 @ SV174 @ SV38 @ SV95 ) @ ( sK53_SY718 @ SV95 @ SV38 @ SV174 @ SV141 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SV174 ) )
= $true )
| ( ( ord_less_eq_nat @ SV141 @ SV174 )
= $false )
| ( ( SV38
= ( SV95 @ SV141 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1255]) ).
thf(1318,plain,
! [SV38: extended_ereal,SV174: nat,SV141: nat,SV95: nat > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV95 @ ( sK25_SY506 @ SV141 @ SV174 @ SV38 @ SV95 ) ) @ ( SV95 @ ( sK53_SY718 @ SV95 @ SV38 @ SV174 @ SV141 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SV174 ) )
= $true )
| ( ( ord_less_eq_nat @ SV141 @ SV174 )
= $false )
| ( ( SV38
= ( SV95 @ SV141 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1255]) ).
thf(1319,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 ) )
= $false )
| ( ( SV96 = SV175 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1256]) ).
thf(1320,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) )
= $false )
| ( ( SV96 = SV175 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1256]) ).
thf(1321,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( ( SV96 != SV175 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $false )
| ( ( ord_le824540014_ereal @ SV96 @ SV175 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1322,plain,
! [SV144: extended_ereal > nat,SV42: extended_ereal,SV176: nat,SV99: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK26_SY614 @ SV99 @ SV176 @ SV42 @ SV144 ) @ ( sK54_SY719 @ SV144 @ SV42 @ SV176 @ SV99 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV144 @ SV42 ) @ SV176 )
= $true )
| ( ( ( SV144 @ SV99 )
= SV176 )
= $false )
| ( ( ord_le824540014_ereal @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1258]) ).
thf(1323,plain,
! [SV42: extended_ereal,SV176: nat,SV99: extended_ereal,SV144: extended_ereal > nat] :
( ( ( ord_less_eq_nat @ ( SV144 @ ( sK26_SY614 @ SV99 @ SV176 @ SV42 @ SV144 ) ) @ ( SV144 @ ( sK54_SY719 @ SV144 @ SV42 @ SV176 @ SV99 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV144 @ SV42 ) @ SV176 )
= $true )
| ( ( ( SV144 @ SV99 )
= SV176 )
= $false )
| ( ( ord_le824540014_ereal @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1258]) ).
thf(1324,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 ) )
= $false )
| ( ( SV100 = SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1325,plain,
! [SV100: extended_ereal,SV177: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) )
= $false )
| ( ( SV100 = SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1326,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ( SV100 != SV177 )
| ~ ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $false )
| ( ( ord_le824540014_ereal @ SV177 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1260]) ).
thf(1327,plain,
! [SV148: extended_ereal > extended_enat,SV48: extended_ereal,SV178: extended_enat,SV105: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK27_SY617 @ SV105 @ SV178 @ SV48 @ SV148 ) @ ( sK55_SY720 @ SV148 @ SV48 @ SV178 @ SV105 ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ ( SV148 @ SV48 ) @ SV178 )
= $true )
| ( ( ( SV148 @ SV105 )
= SV178 )
= $false )
| ( ( ord_le824540014_ereal @ SV48 @ SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1261]) ).
thf(1328,plain,
! [SV48: extended_ereal,SV178: extended_enat,SV105: extended_ereal,SV148: extended_ereal > extended_enat] :
( ( ( ord_le1863327750d_enat @ ( SV148 @ ( sK27_SY617 @ SV105 @ SV178 @ SV48 @ SV148 ) ) @ ( SV148 @ ( sK55_SY720 @ SV148 @ SV48 @ SV178 @ SV105 ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ ( SV148 @ SV48 ) @ SV178 )
= $true )
| ( ( ( SV148 @ SV105 )
= SV178 )
= $false )
| ( ( ord_le824540014_ereal @ SV48 @ SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1261]) ).
thf(1329,plain,
! [SV106: extended_ereal > nat,SV49: nat,SV179: extended_ereal,SV149: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK28_SY527 @ SV149 @ SV179 @ SV49 @ SV106 ) @ ( sK56_SY721 @ SV106 @ SV49 @ SV179 @ SV149 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV49 @ ( SV106 @ SV179 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV149 @ SV179 )
= $false )
| ( ( SV49
= ( SV106 @ SV149 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1262]) ).
thf(1330,plain,
! [SV49: nat,SV179: extended_ereal,SV149: extended_ereal,SV106: extended_ereal > nat] :
( ( ( ord_less_eq_nat @ ( SV106 @ ( sK28_SY527 @ SV149 @ SV179 @ SV49 @ SV106 ) ) @ ( SV106 @ ( sK56_SY721 @ SV106 @ SV49 @ SV179 @ SV149 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV49 @ ( SV106 @ SV179 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV149 @ SV179 )
= $false )
| ( ( SV49
= ( SV106 @ SV149 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1262]) ).
thf(1331,plain,
! [SV150: extended_ereal > extended_ereal,SV52: extended_ereal,SV180: extended_ereal,SV109: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK29_SY623 @ SV109 @ SV180 @ SV52 @ SV150 ) @ ( sK57_SY722 @ SV150 @ SV52 @ SV180 @ SV109 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV52 ) @ SV180 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV109 ) @ SV180 )
= $false )
| ( ( ord_le824540014_ereal @ SV52 @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1332,plain,
! [SV52: extended_ereal,SV180: extended_ereal,SV109: extended_ereal,SV150: extended_ereal > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV150 @ ( sK29_SY623 @ SV109 @ SV180 @ SV52 @ SV150 ) ) @ ( SV150 @ ( sK57_SY722 @ SV150 @ SV52 @ SV180 @ SV109 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV52 ) @ SV180 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV109 ) @ SV180 )
= $false )
| ( ( ord_le824540014_ereal @ SV52 @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1333,plain,
! [SV152: extended_ereal > nat,SV54: extended_ereal,SV181: nat,SV111: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK30_SY626 @ SV111 @ SV181 @ SV54 @ SV152 ) @ ( sK58_SY723 @ SV152 @ SV54 @ SV181 @ SV111 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV152 @ SV54 ) @ SV181 )
= $true )
| ( ( ord_less_eq_nat @ ( SV152 @ SV111 ) @ SV181 )
= $false )
| ( ( ord_le824540014_ereal @ SV54 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1264]) ).
thf(1334,plain,
! [SV54: extended_ereal,SV181: nat,SV111: extended_ereal,SV152: extended_ereal > nat] :
( ( ( ord_less_eq_nat @ ( SV152 @ ( sK30_SY626 @ SV111 @ SV181 @ SV54 @ SV152 ) ) @ ( SV152 @ ( sK58_SY723 @ SV152 @ SV54 @ SV181 @ SV111 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV152 @ SV54 ) @ SV181 )
= $true )
| ( ( ord_less_eq_nat @ ( SV152 @ SV111 ) @ SV181 )
= $false )
| ( ( ord_le824540014_ereal @ SV54 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1264]) ).
thf(1335,plain,
! [SV112: extended_ereal > extended_enat,SV55: extended_enat,SV182: extended_ereal,SV153: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK31_SY540 @ SV153 @ SV182 @ SV55 @ SV112 ) @ ( sK59_SY724 @ SV112 @ SV55 @ SV182 @ SV153 ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV182 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV153 @ SV182 )
= $false )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV153 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1265]) ).
thf(1336,plain,
! [SV55: extended_enat,SV182: extended_ereal,SV153: extended_ereal,SV112: extended_ereal > extended_enat] :
( ( ( ord_le1863327750d_enat @ ( SV112 @ ( sK31_SY540 @ SV153 @ SV182 @ SV55 @ SV112 ) ) @ ( SV112 @ ( sK59_SY724 @ SV112 @ SV55 @ SV182 @ SV153 ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV182 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV153 @ SV182 )
= $false )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV153 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1265]) ).
thf(1337,plain,
! [SV154: extended_ereal > extended_enat,SV56: extended_ereal,SV183: extended_enat,SV113: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK32_SY632 @ SV113 @ SV183 @ SV56 @ SV154 ) @ ( sK60_SY725 @ SV154 @ SV56 @ SV183 @ SV113 ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV56 ) @ SV183 )
= $true )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV113 ) @ SV183 )
= $false )
| ( ( ord_le824540014_ereal @ SV56 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1266]) ).
thf(1338,plain,
! [SV56: extended_ereal,SV183: extended_enat,SV113: extended_ereal,SV154: extended_ereal > extended_enat] :
( ( ( ord_le1863327750d_enat @ ( SV154 @ ( sK32_SY632 @ SV113 @ SV183 @ SV56 @ SV154 ) ) @ ( SV154 @ ( sK60_SY725 @ SV154 @ SV56 @ SV183 @ SV113 ) ) )
= $false )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV56 ) @ SV183 )
= $true )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV113 ) @ SV183 )
= $false )
| ( ( ord_le824540014_ereal @ SV56 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1266]) ).
thf(1339,plain,
! [SV155: extended_enat > extended_ereal,SV57: extended_enat,SV184: extended_ereal,SV114: extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ ( sK33_SY635 @ SV114 @ SV184 @ SV57 @ SV155 ) @ ( sK61_SY726 @ SV155 @ SV57 @ SV184 @ SV114 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV155 @ SV57 ) @ SV184 )
= $true )
| ( ( ( SV155 @ SV114 )
= SV184 )
= $false )
| ( ( ord_le1863327750d_enat @ SV57 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1267]) ).
thf(1340,plain,
! [SV57: extended_enat,SV184: extended_ereal,SV114: extended_enat,SV155: extended_enat > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV155 @ ( sK33_SY635 @ SV114 @ SV184 @ SV57 @ SV155 ) ) @ ( SV155 @ ( sK61_SY726 @ SV155 @ SV57 @ SV184 @ SV114 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV155 @ SV57 ) @ SV184 )
= $true )
| ( ( ( SV155 @ SV114 )
= SV184 )
= $false )
| ( ( ord_le1863327750d_enat @ SV57 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1267]) ).
thf(1341,plain,
! [SV156: nat > extended_ereal,SV58: nat,SV185: extended_ereal,SV115: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK34_SY638 @ SV115 @ SV185 @ SV58 @ SV156 ) @ ( sK62_SY727 @ SV156 @ SV58 @ SV185 @ SV115 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV58 ) @ SV185 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV115 ) @ SV185 )
= $false )
| ( ( ord_less_eq_nat @ SV58 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1268]) ).
thf(1342,plain,
! [SV58: nat,SV185: extended_ereal,SV115: nat,SV156: nat > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV156 @ ( sK34_SY638 @ SV115 @ SV185 @ SV58 @ SV156 ) ) @ ( SV156 @ ( sK62_SY727 @ SV156 @ SV58 @ SV185 @ SV115 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV58 ) @ SV185 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV115 ) @ SV185 )
= $false )
| ( ( ord_less_eq_nat @ SV58 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1268]) ).
thf(1343,plain,
! [SV116: real > extended_ereal,SV59: extended_ereal,SV186: real,SV157: real] :
( ( ( ~ ( ord_less_eq_real @ ( sK35_SY556 @ SV157 @ SV186 @ SV59 @ SV116 ) @ ( sK63_SY728 @ SV116 @ SV59 @ SV186 @ SV157 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV186 ) )
= $true )
| ( ( ord_less_eq_real @ SV157 @ SV186 )
= $false )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1269]) ).
thf(1344,plain,
! [SV59: extended_ereal,SV186: real,SV157: real,SV116: real > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV116 @ ( sK35_SY556 @ SV157 @ SV186 @ SV59 @ SV116 ) ) @ ( SV116 @ ( sK63_SY728 @ SV116 @ SV59 @ SV186 @ SV157 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV186 ) )
= $true )
| ( ( ord_less_eq_real @ SV157 @ SV186 )
= $false )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1269]) ).
thf(1345,plain,
! [SV60: set_Extended_ereal,SV192: extended_ereal] :
( ( ( member1900190071_ereal @ ( sK36_SY704 @ SV192 @ SV60 ) @ SV60 )
= $true )
| ( ( ord_le824540014_ereal @ ( sK2_SY424 @ SV60 ) @ SV192 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1270]) ).
thf(1346,plain,
! [SV118: extended_ereal > extended_ereal,SV62: extended_ereal,SV187: extended_ereal,SV158: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( sK37_SY560 @ SV158 @ SV187 @ SV62 @ SV118 ) @ ( sK64_SY729 @ SV118 @ SV62 @ SV187 @ SV158 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SV187 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV158 @ SV187 )
= $false )
| ( ( SV62
= ( SV118 @ SV158 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1272]) ).
thf(1347,plain,
! [SV62: extended_ereal,SV187: extended_ereal,SV158: extended_ereal,SV118: extended_ereal > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV118 @ ( sK37_SY560 @ SV158 @ SV187 @ SV62 @ SV118 ) ) @ ( SV118 @ ( sK64_SY729 @ SV118 @ SV62 @ SV187 @ SV158 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SV187 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV158 @ SV187 )
= $false )
| ( ( SV62
= ( SV118 @ SV158 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1272]) ).
thf(1348,plain,
! [SV120: extended_enat > extended_ereal,SV64: extended_ereal,SV188: extended_enat,SV160: extended_enat] :
( ( ( ~ ( ord_le1863327750d_enat @ ( sK38_SY565 @ SV160 @ SV188 @ SV64 @ SV120 ) @ ( sK65_SY730 @ SV120 @ SV64 @ SV188 @ SV160 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV188 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV160 @ SV188 )
= $false )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1273]) ).
thf(1349,plain,
! [SV64: extended_ereal,SV188: extended_enat,SV160: extended_enat,SV120: extended_enat > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV120 @ ( sK38_SY565 @ SV160 @ SV188 @ SV64 @ SV120 ) ) @ ( SV120 @ ( sK65_SY730 @ SV120 @ SV64 @ SV188 @ SV160 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV188 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV160 @ SV188 )
= $false )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1273]) ).
thf(1350,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $true )
| ( ( SV70 = SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1274]) ).
thf(1351,plain,
! [SV70: extended_ereal,SV161: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV161 @ SV70 )
= $true )
| ( ( SV70 = SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1275]) ).
thf(1352,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( SV70 != SV161 )
= $false )
| ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $false )
| ( ( ord_le824540014_ereal @ SV161 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1353,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ~ ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $false )
| ( ( ord_le824540014_ereal @ SV161 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1354,plain,
! [SV122: extended_ereal,SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( ~ ( SV12 @ ( sK66_SY731 @ SV71 @ SV122 @ SV12 ) @ ( sK39_SY265 @ SV122 @ SV71 @ SV12 ) ) )
= $false )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( ord_le824540014_ereal @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1277]) ).
thf(1355,plain,
! [SV71: extended_ereal,SV122: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( SV12 @ ( sK39_SY265 @ SV122 @ SV71 @ SV12 ) @ ( sK66_SY731 @ SV71 @ SV122 @ SV12 ) )
= $false )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( ord_le824540014_ereal @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1277]) ).
thf(1356,plain,
! [SV122: extended_ereal,SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( SV12 @ ( sK40_SY706 @ SV71 @ SV122 @ SV12 ) @ ( sK12_SY265 @ SV122 @ SV71 @ SV12 ) )
= $true )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( SV12 @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1278]) ).
thf(1357,plain,
! [SV72: extended_ereal > real,SV13: real,SV162: extended_ereal,SV123: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK13_SY450 @ SV123 @ SV162 @ SV13 @ SV72 ) @ ( sK41_SY707 @ SV72 @ SV13 @ SV162 @ SV123 ) )
= $true )
| ( ( ord_less_eq_real @ SV13 @ ( SV72 @ SV162 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV123 @ SV162 )
= $false )
| ( ( SV13
= ( SV72 @ SV123 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1280]) ).
thf(1358,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ( SV16 @ ( sK67_SY575 @ SV75 @ SV124 @ SV16 ) ) )
= $false )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1282]) ).
thf(1359,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ! [SY733: extended_ereal] :
( ~ ( SV16 @ SY733 )
| ( ord_le824540014_ereal @ SY733 @ ( sK67_SY575 @ SV75 @ SV124 @ SV16 ) ) )
| ( SV124 @ ( sK67_SY575 @ SV75 @ SV124 @ SV16 ) ) )
= $false )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1282]) ).
thf(1360,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( SV16 @ ( sK42_SY575 @ SV75 @ SV124 @ SV16 ) )
= $true )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 )
= $false )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1283]) ).
thf(1361,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ! [SY732: extended_ereal] :
( ~ ( SV16 @ SY732 )
| ( ord_le824540014_ereal @ SY732 @ ( sK42_SY575 @ SV75 @ SV124 @ SV16 ) ) ) )
= $false )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 )
= $false )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1362,plain,
! [SV16: extended_ereal > $o,SV75: extended_ereal,SV124: extended_ereal > $o] :
( ( ( SV124 @ ( sK42_SY575 @ SV75 @ SV124 @ SV16 ) )
= $false )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 )
= $false )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1363,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $true )
| ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1285]) ).
thf(1364,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) )
= $true )
| ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1286]) ).
thf(1365,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ord_le637473275_ereal @ SV76 @ SV163 ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1366,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1367,plain,
! [SV126: extended_ereal > extended_ereal,SV19: extended_ereal,SV164: extended_ereal,SV78: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK14_SY578 @ SV78 @ SV164 @ SV19 @ SV126 ) @ ( sK43_SY708 @ SV126 @ SV19 @ SV164 @ SV78 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV126 @ SV19 ) @ SV164 )
= $true )
| ( ( ( SV126 @ SV78 )
= SV164 )
= $false )
| ( ( ord_le824540014_ereal @ SV19 @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1288]) ).
thf(1368,plain,
! [SV79: extended_ereal > extended_ereal,SV196: extended_ereal] :
( ( ( ! [SY735: extended_ereal] :
( ~ ( ord_le824540014_ereal @ SV196 @ SY735 )
| ( ord_le824540014_ereal @ ( SV79 @ SY735 ) @ ( SV79 @ SV196 ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK8_SY461 @ SV79 ) @ ( sK11_SY702 @ SV79 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1292]) ).
thf(1369,plain,
! [SV79: extended_ereal > extended_ereal,SV197: extended_ereal,SV195: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV195 @ SV197 )
| ( ord_le824540014_ereal @ ( SV79 @ SV197 ) @ ( SV79 @ SV195 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV79 @ ( sK11_SY702 @ SV79 ) ) @ ( SV79 @ ( sK8_SY461 @ SV79 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1293]) ).
thf(1370,plain,
! [SV127: nat > extended_ereal,SV21: nat,SV165: extended_ereal,SV80: nat] :
( ( ( ord_less_eq_nat @ ( sK15_SY581 @ SV80 @ SV165 @ SV21 @ SV127 ) @ ( sK44_SY709 @ SV127 @ SV21 @ SV165 @ SV80 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV127 @ SV21 ) @ SV165 )
= $true )
| ( ( ( SV127 @ SV80 )
= SV165 )
= $false )
| ( ( ord_less_eq_nat @ SV21 @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1371,plain,
! [SV81: extended_enat > extended_ereal,SV22: extended_ereal,SV166: extended_enat,SV128: extended_enat] :
( ( ( ord_le1863327750d_enat @ ( sK16_SY469 @ SV128 @ SV166 @ SV22 @ SV81 ) @ ( sK45_SY710 @ SV81 @ SV22 @ SV166 @ SV128 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV22 @ ( SV81 @ SV166 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV128 @ SV166 )
= $false )
| ( ( SV22
= ( SV81 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1296]) ).
thf(1372,plain,
! [SV129: extended_enat > extended_ereal,SV23: extended_enat,SV167: extended_ereal,SV82: extended_enat] :
( ( ( ord_le1863327750d_enat @ ( sK17_SY587 @ SV82 @ SV167 @ SV23 @ SV129 ) @ ( sK46_SY711 @ SV129 @ SV23 @ SV167 @ SV82 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV23 ) @ SV167 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV129 @ SV82 ) @ SV167 )
= $false )
| ( ( ord_le1863327750d_enat @ SV23 @ SV82 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1298]) ).
thf(1373,plain,
! [SV84: extended_ereal > extended_enat,SV26: extended_enat,SV168: extended_ereal,SV131: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK19_SY478 @ SV131 @ SV168 @ SV26 @ SV84 ) @ ( sK47_SY712 @ SV84 @ SV26 @ SV168 @ SV131 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV26 @ ( SV84 @ SV168 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV131 @ SV168 )
= $false )
| ( ( SV26
= ( SV84 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1301]) ).
thf(1374,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1375,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1376,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1377,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1378,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1379,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1380,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1381,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1382,plain,
! [SV134: extended_ereal > real,SV29: extended_ereal,SV169: real,SV87: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK20_SY596 @ SV87 @ SV169 @ SV29 @ SV134 ) @ ( sK48_SY713 @ SV134 @ SV29 @ SV169 @ SV87 ) )
= $true )
| ( ( ord_less_eq_real @ ( SV134 @ SV29 ) @ SV169 )
= $true )
| ( ( ord_less_eq_real @ ( SV134 @ SV87 ) @ SV169 )
= $false )
| ( ( ord_le824540014_ereal @ SV29 @ SV87 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1307]) ).
thf(1383,plain,
! [SV135: extended_ereal > real,SV30: extended_ereal,SV170: real,SV88: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK21_SY599 @ SV88 @ SV170 @ SV30 @ SV135 ) @ ( sK49_SY714 @ SV135 @ SV30 @ SV170 @ SV88 ) )
= $true )
| ( ( ord_less_eq_real @ ( SV135 @ SV30 ) @ SV170 )
= $true )
| ( ( ( SV135 @ SV88 )
= SV170 )
= $false )
| ( ( ord_le824540014_ereal @ SV30 @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1309]) ).
thf(1384,plain,
! [SV90: extended_ereal > nat,SV33: nat,SV171: extended_ereal,SV137: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK22_SY493 @ SV137 @ SV171 @ SV33 @ SV90 ) @ ( sK50_SY715 @ SV90 @ SV33 @ SV171 @ SV137 ) )
= $true )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV171 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV137 @ SV171 )
= $false )
| ( ( ord_less_eq_nat @ SV33 @ ( SV90 @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1385,plain,
! [SV91: extended_ereal > extended_ereal,SV34: extended_ereal,SV172: extended_ereal,SV138: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK23_SY497 @ SV138 @ SV172 @ SV34 @ SV91 ) @ ( sK51_SY716 @ SV91 @ SV34 @ SV172 @ SV138 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV172 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV138 @ SV172 )
= $false )
| ( ( ord_le824540014_ereal @ SV34 @ ( SV91 @ SV138 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1313]) ).
thf(1386,plain,
! [SV93: nat > extended_ereal,SV36: extended_ereal,SV173: nat,SV139: nat] :
( ( ( ord_less_eq_nat @ ( sK24_SY501 @ SV139 @ SV173 @ SV36 @ SV93 ) @ ( sK52_SY717 @ SV93 @ SV36 @ SV173 @ SV139 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV173 ) )
= $true )
| ( ( ord_less_eq_nat @ SV139 @ SV173 )
= $false )
| ( ( ord_le824540014_ereal @ SV36 @ ( SV93 @ SV139 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1315]) ).
thf(1387,plain,
! [SV95: nat > extended_ereal,SV38: extended_ereal,SV174: nat,SV141: nat] :
( ( ( ord_less_eq_nat @ ( sK25_SY506 @ SV141 @ SV174 @ SV38 @ SV95 ) @ ( sK53_SY718 @ SV95 @ SV38 @ SV174 @ SV141 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV38 @ ( SV95 @ SV174 ) )
= $true )
| ( ( ord_less_eq_nat @ SV141 @ SV174 )
= $false )
| ( ( SV38
= ( SV95 @ SV141 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1317]) ).
thf(1388,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $true )
| ( ( SV96 = SV175 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1319]) ).
thf(1389,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV96 @ SV175 )
= $true )
| ( ( SV96 = SV175 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1320]) ).
thf(1390,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( SV96 != SV175 )
= $false )
| ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $false )
| ( ( ord_le824540014_ereal @ SV96 @ SV175 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1391,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ~ ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $false )
| ( ( ord_le824540014_ereal @ SV96 @ SV175 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1392,plain,
! [SV144: extended_ereal > nat,SV42: extended_ereal,SV176: nat,SV99: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK26_SY614 @ SV99 @ SV176 @ SV42 @ SV144 ) @ ( sK54_SY719 @ SV144 @ SV42 @ SV176 @ SV99 ) )
= $true )
| ( ( ord_less_eq_nat @ ( SV144 @ SV42 ) @ SV176 )
= $true )
| ( ( ( SV144 @ SV99 )
= SV176 )
= $false )
| ( ( ord_le824540014_ereal @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1322]) ).
thf(1393,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $true )
| ( ( SV100 = SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1324]) ).
thf(1394,plain,
! [SV100: extended_ereal,SV177: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV177 @ SV100 )
= $true )
| ( ( SV100 = SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1325]) ).
thf(1395,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( SV100 != SV177 )
= $false )
| ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $false )
| ( ( ord_le824540014_ereal @ SV177 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1326]) ).
thf(1396,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ~ ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) )
= $false )
| ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $false )
| ( ( ord_le824540014_ereal @ SV177 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1326]) ).
thf(1397,plain,
! [SV148: extended_ereal > extended_enat,SV48: extended_ereal,SV178: extended_enat,SV105: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK27_SY617 @ SV105 @ SV178 @ SV48 @ SV148 ) @ ( sK55_SY720 @ SV148 @ SV48 @ SV178 @ SV105 ) )
= $true )
| ( ( ord_le1863327750d_enat @ ( SV148 @ SV48 ) @ SV178 )
= $true )
| ( ( ( SV148 @ SV105 )
= SV178 )
= $false )
| ( ( ord_le824540014_ereal @ SV48 @ SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1327]) ).
thf(1398,plain,
! [SV106: extended_ereal > nat,SV49: nat,SV179: extended_ereal,SV149: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK28_SY527 @ SV149 @ SV179 @ SV49 @ SV106 ) @ ( sK56_SY721 @ SV106 @ SV49 @ SV179 @ SV149 ) )
= $true )
| ( ( ord_less_eq_nat @ SV49 @ ( SV106 @ SV179 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV149 @ SV179 )
= $false )
| ( ( SV49
= ( SV106 @ SV149 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1329]) ).
thf(1399,plain,
! [SV150: extended_ereal > extended_ereal,SV52: extended_ereal,SV180: extended_ereal,SV109: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK29_SY623 @ SV109 @ SV180 @ SV52 @ SV150 ) @ ( sK57_SY722 @ SV150 @ SV52 @ SV180 @ SV109 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV52 ) @ SV180 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV150 @ SV109 ) @ SV180 )
= $false )
| ( ( ord_le824540014_ereal @ SV52 @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1331]) ).
thf(1400,plain,
! [SV152: extended_ereal > nat,SV54: extended_ereal,SV181: nat,SV111: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK30_SY626 @ SV111 @ SV181 @ SV54 @ SV152 ) @ ( sK58_SY723 @ SV152 @ SV54 @ SV181 @ SV111 ) )
= $true )
| ( ( ord_less_eq_nat @ ( SV152 @ SV54 ) @ SV181 )
= $true )
| ( ( ord_less_eq_nat @ ( SV152 @ SV111 ) @ SV181 )
= $false )
| ( ( ord_le824540014_ereal @ SV54 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1333]) ).
thf(1401,plain,
! [SV112: extended_ereal > extended_enat,SV55: extended_enat,SV182: extended_ereal,SV153: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK31_SY540 @ SV153 @ SV182 @ SV55 @ SV112 ) @ ( sK59_SY724 @ SV112 @ SV55 @ SV182 @ SV153 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV182 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV153 @ SV182 )
= $false )
| ( ( ord_le1863327750d_enat @ SV55 @ ( SV112 @ SV153 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1335]) ).
thf(1402,plain,
! [SV154: extended_ereal > extended_enat,SV56: extended_ereal,SV183: extended_enat,SV113: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK32_SY632 @ SV113 @ SV183 @ SV56 @ SV154 ) @ ( sK60_SY725 @ SV154 @ SV56 @ SV183 @ SV113 ) )
= $true )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV56 ) @ SV183 )
= $true )
| ( ( ord_le1863327750d_enat @ ( SV154 @ SV113 ) @ SV183 )
= $false )
| ( ( ord_le824540014_ereal @ SV56 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1337]) ).
thf(1403,plain,
! [SV155: extended_enat > extended_ereal,SV57: extended_enat,SV184: extended_ereal,SV114: extended_enat] :
( ( ( ord_le1863327750d_enat @ ( sK33_SY635 @ SV114 @ SV184 @ SV57 @ SV155 ) @ ( sK61_SY726 @ SV155 @ SV57 @ SV184 @ SV114 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV155 @ SV57 ) @ SV184 )
= $true )
| ( ( ( SV155 @ SV114 )
= SV184 )
= $false )
| ( ( ord_le1863327750d_enat @ SV57 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1339]) ).
thf(1404,plain,
! [SV156: nat > extended_ereal,SV58: nat,SV185: extended_ereal,SV115: nat] :
( ( ( ord_less_eq_nat @ ( sK34_SY638 @ SV115 @ SV185 @ SV58 @ SV156 ) @ ( sK62_SY727 @ SV156 @ SV58 @ SV185 @ SV115 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV58 ) @ SV185 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV156 @ SV115 ) @ SV185 )
= $false )
| ( ( ord_less_eq_nat @ SV58 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1341]) ).
thf(1405,plain,
! [SV116: real > extended_ereal,SV59: extended_ereal,SV186: real,SV157: real] :
( ( ( ord_less_eq_real @ ( sK35_SY556 @ SV157 @ SV186 @ SV59 @ SV116 ) @ ( sK63_SY728 @ SV116 @ SV59 @ SV186 @ SV157 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV186 ) )
= $true )
| ( ( ord_less_eq_real @ SV157 @ SV186 )
= $false )
| ( ( ord_le824540014_ereal @ SV59 @ ( SV116 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1343]) ).
thf(1406,plain,
! [SV118: extended_ereal > extended_ereal,SV62: extended_ereal,SV187: extended_ereal,SV158: extended_ereal] :
( ( ( ord_le824540014_ereal @ ( sK37_SY560 @ SV158 @ SV187 @ SV62 @ SV118 ) @ ( sK64_SY729 @ SV118 @ SV62 @ SV187 @ SV158 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV62 @ ( SV118 @ SV187 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV158 @ SV187 )
= $false )
| ( ( SV62
= ( SV118 @ SV158 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1346]) ).
thf(1407,plain,
! [SV120: extended_enat > extended_ereal,SV64: extended_ereal,SV188: extended_enat,SV160: extended_enat] :
( ( ( ord_le1863327750d_enat @ ( sK38_SY565 @ SV160 @ SV188 @ SV64 @ SV120 ) @ ( sK65_SY730 @ SV120 @ SV64 @ SV188 @ SV160 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV188 ) )
= $true )
| ( ( ord_le1863327750d_enat @ SV160 @ SV188 )
= $false )
| ( ( ord_le824540014_ereal @ SV64 @ ( SV120 @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1348]) ).
thf(1408,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( SV70 = SV161 )
= $true )
| ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $false )
| ( ( ord_le824540014_ereal @ SV161 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1352]) ).
thf(1409,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $false )
| ( ( ord_le824540014_ereal @ SV161 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1353]) ).
thf(1410,plain,
! [SV122: extended_ereal,SV71: extended_ereal,SV12: extended_ereal > extended_ereal > $o] :
( ( ( SV12 @ ( sK66_SY731 @ SV71 @ SV122 @ SV12 ) @ ( sK39_SY265 @ SV122 @ SV71 @ SV12 ) )
= $true )
| ( ( SV12 @ SV71 @ SV122 )
= $true )
| ( ( ord_le824540014_ereal @ ( sK6_SY263 @ SV122 @ SV71 @ SV12 ) @ ( sK7_SY701 @ SV12 @ SV71 @ SV122 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1354]) ).
thf(1411,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( SV16 @ ( sK67_SY575 @ SV75 @ SV124 @ SV16 ) )
= $true )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1358]) ).
thf(1412,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ! [SY733: extended_ereal] :
( ~ ( SV16 @ SY733 )
| ( ord_le824540014_ereal @ SY733 @ ( sK67_SY575 @ SV75 @ SV124 @ SV16 ) ) ) )
= $false )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1413,plain,
! [SV16: extended_ereal > $o,SV75: extended_ereal,SV124: extended_ereal > $o] :
( ( ( SV124 @ ( sK67_SY575 @ SV75 @ SV124 @ SV16 ) )
= $false )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1414,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ! [SY732: extended_ereal] :
( ~ ( SV16 @ SY732 )
| ( ord_le824540014_ereal @ SY732 @ ( sK42_SY575 @ SV75 @ SV124 @ SV16 ) ) ) )
= $true )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 )
= $false )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1415,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ord_le637473275_ereal @ SV76 @ SV163 )
= $true )
| ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1365]) ).
thf(1416,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1366]) ).
thf(1417,plain,
! [SV79: extended_ereal > extended_ereal,SV198: extended_ereal,SV196: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV196 @ SV198 )
| ( ord_le824540014_ereal @ ( SV79 @ SV198 ) @ ( SV79 @ SV196 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK8_SY461 @ SV79 ) @ ( sK11_SY702 @ SV79 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1368]) ).
thf(1418,plain,
! [SV79: extended_ereal > extended_ereal,SV197: extended_ereal,SV195: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV195 @ SV197 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV79 @ SV197 ) @ ( SV79 @ SV195 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV79 @ ( sK11_SY702 @ SV79 ) ) @ ( SV79 @ ( sK8_SY461 @ SV79 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1369]) ).
thf(1419,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1374]) ).
thf(1420,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1375]) ).
thf(1421,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1376]) ).
thf(1422,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1377]) ).
thf(1423,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1378]) ).
thf(1424,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1379]) ).
thf(1425,plain,
! [SV86: extended_ereal,SV133: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1380]) ).
thf(1426,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1381]) ).
thf(1427,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( SV96 = SV175 )
= $true )
| ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $false )
| ( ( ord_le824540014_ereal @ SV96 @ SV175 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1390]) ).
thf(1428,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $false )
| ( ( ord_le824540014_ereal @ SV96 @ SV175 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1391]) ).
thf(1429,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( SV100 = SV177 )
= $true )
| ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $false )
| ( ( ord_le824540014_ereal @ SV177 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1395]) ).
thf(1430,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $false )
| ( ( ord_le824540014_ereal @ SV177 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1396]) ).
thf(1431,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 )
| ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $false )
| ( ( ord_le824540014_ereal @ SV161 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1432,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ! [SY733: extended_ereal] :
( ~ ( SV16 @ SY733 )
| ( ord_le824540014_ereal @ SY733 @ ( sK67_SY575 @ SV75 @ SV124 @ SV16 ) ) ) )
= $true )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1412]) ).
thf(1433,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV199: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ( SV16 @ SV199 )
| ( ord_le824540014_ereal @ SV199 @ ( sK42_SY575 @ SV75 @ SV124 @ SV16 ) ) )
= $true )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 )
= $false )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1414]) ).
thf(1434,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
| ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1435,plain,
! [SV79: extended_ereal > extended_ereal,SV198: extended_ereal,SV196: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV196 @ SV198 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV79 @ SV198 ) @ ( SV79 @ SV196 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK8_SY461 @ SV79 ) @ ( sK11_SY702 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1417]) ).
thf(1436,plain,
! [SV79: extended_ereal > extended_ereal,SV197: extended_ereal,SV195: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV195 @ SV197 )
= $false )
| ( ( ord_le824540014_ereal @ ( SV79 @ SV197 ) @ ( SV79 @ SV195 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV79 @ ( sK11_SY702 @ SV79 ) ) @ ( SV79 @ ( sK8_SY461 @ SV79 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1437,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1419]) ).
thf(1438,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1420]) ).
thf(1439,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1421]) ).
thf(1440,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1422]) ).
thf(1441,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1423]) ).
thf(1442,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1424]) ).
thf(1443,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1425]) ).
thf(1444,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1426]) ).
thf(1445,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 )
| ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $false )
| ( ( ord_le824540014_ereal @ SV96 @ SV175 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1446,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 )
| ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $false )
| ( ( ord_le824540014_ereal @ SV177 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1447,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV70 @ SV161 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $false )
| ( ( ord_le824540014_ereal @ SV161 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1431]) ).
thf(1448,plain,
! [SV70: extended_ereal,SV161: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV161 @ SV70 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $false )
| ( ( ord_le824540014_ereal @ SV161 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1431]) ).
thf(1449,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV200: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ( SV16 @ SV200 )
| ( ord_le824540014_ereal @ SV200 @ ( sK67_SY575 @ SV75 @ SV124 @ SV16 ) ) )
= $true )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1432]) ).
thf(1450,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV199: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ( SV16 @ SV199 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV199 @ ( sK42_SY575 @ SV75 @ SV124 @ SV16 ) )
= $true )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 )
= $false )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1433]) ).
thf(1451,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1452,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1453,plain,
! [SV79: extended_ereal > extended_ereal,SV198: extended_ereal,SV196: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV196 @ SV198 )
= $false )
| ( ( ord_le824540014_ereal @ ( SV79 @ SV198 ) @ ( SV79 @ SV196 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK8_SY461 @ SV79 ) @ ( sK11_SY702 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1454,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1437]) ).
thf(1455,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1456,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1439]) ).
thf(1457,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1440]) ).
thf(1458,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1459,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1460,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1461,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 )
| ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1462,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV175 @ SV96 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $false )
| ( ( ord_le824540014_ereal @ SV96 @ SV175 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1463,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV96 @ SV175 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $false )
| ( ( ord_le824540014_ereal @ SV96 @ SV175 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1464,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV100 @ SV177 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $false )
| ( ( ord_le824540014_ereal @ SV177 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1446]) ).
thf(1465,plain,
! [SV100: extended_ereal,SV177: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV177 @ SV100 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $false )
| ( ( ord_le824540014_ereal @ SV177 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1446]) ).
thf(1466,plain,
! [SV161: extended_ereal,SV70: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $true )
| ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $false )
| ( ( ord_le824540014_ereal @ SV161 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1467,plain,
! [SV70: extended_ereal,SV161: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV161 @ SV70 )
= $true )
| ( ( ord_le824540014_ereal @ SV70 @ SV161 )
= $false )
| ( ( ord_le824540014_ereal @ SV161 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1448]) ).
thf(1468,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV200: extended_ereal,SV16: extended_ereal > $o] :
( ( ( ~ ( SV16 @ SV200 ) )
= $true )
| ( ( ord_le824540014_ereal @ SV200 @ ( sK67_SY575 @ SV75 @ SV124 @ SV16 ) )
= $true )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1449]) ).
thf(1469,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV199: extended_ereal,SV16: extended_ereal > $o] :
( ( ( SV16 @ SV199 )
= $false )
| ( ( ord_le824540014_ereal @ SV199 @ ( sK42_SY575 @ SV75 @ SV124 @ SV16 ) )
= $true )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( ord_le824540014_ereal @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) @ SV75 )
= $false )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1450]) ).
thf(1470,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1451]) ).
thf(1471,plain,
! [SV163: $o > extended_ereal,SV76: $o > extended_ereal] :
( ( ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) )
= $true )
| ( ( ord_le824540014_ereal @ ( SV76 @ $false ) @ ( SV163 @ $false ) )
= $false )
| ( ( ord_le824540014_ereal @ ( SV76 @ $true ) @ ( SV163 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1452]) ).
thf(1472,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1454]) ).
thf(1473,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1454]) ).
thf(1474,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1455]) ).
thf(1475,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1455]) ).
thf(1476,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1456]) ).
thf(1477,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1456]) ).
thf(1478,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1457]) ).
thf(1479,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1457]) ).
thf(1480,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1481,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1482,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1459]) ).
thf(1483,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1459]) ).
thf(1484,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1460]) ).
thf(1485,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1460]) ).
thf(1486,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV86 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1461]) ).
thf(1487,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1461]) ).
thf(1488,plain,
! [SV96: extended_ereal,SV175: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $true )
| ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $false )
| ( ( ord_le824540014_ereal @ SV96 @ SV175 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1462]) ).
thf(1489,plain,
! [SV175: extended_ereal,SV96: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV96 @ SV175 )
= $true )
| ( ( ord_le824540014_ereal @ SV175 @ SV96 )
= $false )
| ( ( ord_le824540014_ereal @ SV96 @ SV175 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1463]) ).
thf(1490,plain,
! [SV177: extended_ereal,SV100: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $true )
| ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $false )
| ( ( ord_le824540014_ereal @ SV177 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1464]) ).
thf(1491,plain,
! [SV100: extended_ereal,SV177: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV177 @ SV100 )
= $true )
| ( ( ord_le824540014_ereal @ SV100 @ SV177 )
= $false )
| ( ( ord_le824540014_ereal @ SV177 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1465]) ).
thf(1492,plain,
! [SV124: extended_ereal > $o,SV75: extended_ereal,SV200: extended_ereal,SV16: extended_ereal > $o] :
( ( ( SV16 @ SV200 )
= $false )
| ( ( ord_le824540014_ereal @ SV200 @ ( sK67_SY575 @ SV75 @ SV124 @ SV16 ) )
= $true )
| ( ( SV124 @ ( order_1158471719_ereal @ SV16 ) )
= $true )
| ( ( SV16 @ ( sK10_SY453 @ SV124 @ SV75 @ SV16 ) )
= $true )
| ( ( SV16 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1468]) ).
thf(1493,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1472]) ).
thf(1494,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1495,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1474]) ).
thf(1496,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1475]) ).
thf(1497,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1476]) ).
thf(1498,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1477]) ).
thf(1499,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1478]) ).
thf(1500,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1479]) ).
thf(1501,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1480]) ).
thf(1502,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1481]) ).
thf(1503,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1482]) ).
thf(1504,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1483]) ).
thf(1505,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1484]) ).
thf(1506,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1485]) ).
thf(1507,plain,
! [SV28: extended_ereal,SV86: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1486]) ).
thf(1508,plain,
! [SV133: extended_ereal,SV28: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
| ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1487]) ).
thf(1509,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1493]) ).
thf(1510,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1494]) ).
thf(1511,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1495]) ).
thf(1512,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1496]) ).
thf(1513,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1497]) ).
thf(1514,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1498]) ).
thf(1515,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1499]) ).
thf(1516,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1500]) ).
thf(1517,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1501]) ).
thf(1518,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1502]) ).
thf(1519,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1503]) ).
thf(1520,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1504]) ).
thf(1521,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1522,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1506]) ).
thf(1523,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1507]) ).
thf(1524,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1508]) ).
thf(1525,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1509]) ).
thf(1526,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1510]) ).
thf(1527,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1528,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1512]) ).
thf(1529,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1530,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1514]) ).
thf(1531,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1515]) ).
thf(1532,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1516]) ).
thf(1533,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1534,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1535,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1519]) ).
thf(1536,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1537,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1521]) ).
thf(1538,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1522]) ).
thf(1539,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1523]) ).
thf(1540,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 )
| ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1541,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1525]) ).
thf(1542,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1525]) ).
thf(1543,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1526]) ).
thf(1544,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1526]) ).
thf(1545,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1546,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1547,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1528]) ).
thf(1548,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1528]) ).
thf(1549,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1529]) ).
thf(1550,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1529]) ).
thf(1551,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1530]) ).
thf(1552,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1530]) ).
thf(1553,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1554,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1555,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1556,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1557,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1533]) ).
thf(1558,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1533]) ).
thf(1559,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1560,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1561,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1535]) ).
thf(1562,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1535]) ).
thf(1563,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1564,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1565,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1566,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1567,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1538]) ).
thf(1568,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1538]) ).
thf(1569,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1570,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1571,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1572,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1573,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1541]) ).
thf(1574,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1575,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1543]) ).
thf(1576,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1544]) ).
thf(1577,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1545]) ).
thf(1578,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1546]) ).
thf(1579,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1547]) ).
thf(1580,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1548]) ).
thf(1581,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1549]) ).
thf(1582,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1550]) ).
thf(1583,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1551]) ).
thf(1584,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1552]) ).
thf(1585,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1553]) ).
thf(1586,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1554]) ).
thf(1587,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1555]) ).
thf(1588,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1556]) ).
thf(1589,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1590,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1558]) ).
thf(1591,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1559]) ).
thf(1592,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1560]) ).
thf(1593,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1561]) ).
thf(1594,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1562]) ).
thf(1595,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1563]) ).
thf(1596,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1564]) ).
thf(1597,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1565]) ).
thf(1598,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1566]) ).
thf(1599,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1567]) ).
thf(1600,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1568]) ).
thf(1601,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1569]) ).
thf(1602,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1570]) ).
thf(1603,plain,
! [SV28: extended_ereal,SV133: extended_ereal,SV86: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1604,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ~ ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) ) )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1572]) ).
thf(1605,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1606,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1574]) ).
thf(1607,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1575]) ).
thf(1608,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1609,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1577]) ).
thf(1610,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1578]) ).
thf(1611,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1579]) ).
thf(1612,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1580]) ).
thf(1613,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1581]) ).
thf(1614,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1582]) ).
thf(1615,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1583]) ).
thf(1616,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1584]) ).
thf(1617,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1585]) ).
thf(1618,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1586]) ).
thf(1619,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1587]) ).
thf(1620,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1588]) ).
thf(1621,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1589]) ).
thf(1622,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1590]) ).
thf(1623,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1624,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1592]) ).
thf(1625,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1593]) ).
thf(1626,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1627,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1595]) ).
thf(1628,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1629,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1597]) ).
thf(1630,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1631,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1599]) ).
thf(1632,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1600]) ).
thf(1633,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1601]) ).
thf(1634,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1602]) ).
thf(1635,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1603]) ).
thf(1636,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 )
| ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1604]) ).
thf(1637,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1605]) ).
thf(1638,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1605]) ).
thf(1639,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1640,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1641,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1607]) ).
thf(1642,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1607]) ).
thf(1643,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1608]) ).
thf(1644,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1608]) ).
thf(1645,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1609]) ).
thf(1646,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1609]) ).
thf(1647,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1610]) ).
thf(1648,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1610]) ).
thf(1649,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1650,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1651,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1612]) ).
thf(1652,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1612]) ).
thf(1653,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1613]) ).
thf(1654,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1613]) ).
thf(1655,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1614]) ).
thf(1656,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1614]) ).
thf(1657,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1615]) ).
thf(1658,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1615]) ).
thf(1659,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1660,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1661,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1662,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1663,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1618]) ).
thf(1664,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1618]) ).
thf(1665,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1619]) ).
thf(1666,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1619]) ).
thf(1667,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1620]) ).
thf(1668,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1620]) ).
thf(1669,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1621]) ).
thf(1670,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1621]) ).
thf(1671,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1622]) ).
thf(1672,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1622]) ).
thf(1673,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1623]) ).
thf(1674,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1623]) ).
thf(1675,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1624]) ).
thf(1676,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1624]) ).
thf(1677,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1625]) ).
thf(1678,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1625]) ).
thf(1679,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1626]) ).
thf(1680,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1626]) ).
thf(1681,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1627]) ).
thf(1682,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1627]) ).
thf(1683,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1628]) ).
thf(1684,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1628]) ).
thf(1685,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1629]) ).
thf(1686,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1629]) ).
thf(1687,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1688,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1689,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1690,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1691,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1692,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1693,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1694,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1695,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1696,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1697,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1635]) ).
thf(1698,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1635]) ).
thf(1699,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV133 @ SV28 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1700,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ~ ( ord_le824540014_ereal @ SV28 @ SV86 ) )
= $false )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1701,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1637]) ).
thf(1702,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1638]) ).
thf(1703,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1639]) ).
thf(1704,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1640]) ).
thf(1705,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1641]) ).
thf(1706,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1642]) ).
thf(1707,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1643]) ).
thf(1708,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1644]) ).
thf(1709,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1645]) ).
thf(1710,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1646]) ).
thf(1711,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1647]) ).
thf(1712,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1648]) ).
thf(1713,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1649]) ).
thf(1714,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1650]) ).
thf(1715,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1651]) ).
thf(1716,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1652]) ).
thf(1717,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1653]) ).
thf(1718,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1654]) ).
thf(1719,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1655]) ).
thf(1720,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1656]) ).
thf(1721,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1657]) ).
thf(1722,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1658]) ).
thf(1723,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1659]) ).
thf(1724,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1660]) ).
thf(1725,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1661]) ).
thf(1726,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1662]) ).
thf(1727,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1663]) ).
thf(1728,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1664]) ).
thf(1729,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1665]) ).
thf(1730,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1666]) ).
thf(1731,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1732,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1668]) ).
thf(1733,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1669]) ).
thf(1734,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1670]) ).
thf(1735,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1671]) ).
thf(1736,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1672]) ).
thf(1737,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1673]) ).
thf(1738,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1674]) ).
thf(1739,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1675]) ).
thf(1740,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1676]) ).
thf(1741,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1742,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1678]) ).
thf(1743,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1679]) ).
thf(1744,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1680]) ).
thf(1745,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1681]) ).
thf(1746,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1682]) ).
thf(1747,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1683]) ).
thf(1748,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1684]) ).
thf(1749,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1685]) ).
thf(1750,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1686]) ).
thf(1751,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1687]) ).
thf(1752,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1753,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1754,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1690]) ).
thf(1755,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1691]) ).
thf(1756,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1692]) ).
thf(1757,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1693]) ).
thf(1758,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1694]) ).
thf(1759,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1695]) ).
thf(1760,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1696]) ).
thf(1761,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1697]) ).
thf(1762,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1698]) ).
thf(1763,plain,
! [SV86: extended_ereal,SV28: extended_ereal,SV133: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1699]) ).
thf(1764,plain,
! [SV133: extended_ereal,SV86: extended_ereal,SV28: extended_ereal] :
( ( ( ord_le824540014_ereal @ SV28 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV28 )
= $true )
| ( ( ord_le824540014_ereal @ SV133 @ SV86 )
= $true )
| ( ( ord_le824540014_ereal @ SV28 @ SV133 )
= $true )
| ( ( ord_le824540014_ereal @ SV86 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1700]) ).
thf(1765,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[422,1764,1763,1762,1761,1760,1759,1758,1757,1756,1755,1754,1753,1752,1751,1750,1749,1748,1747,1746,1745,1744,1743,1742,1741,1740,1739,1738,1737,1736,1735,1734,1733,1732,1731,1730,1729,1728,1727,1726,1725,1724,1723,1722,1721,1720,1719,1718,1717,1716,1715,1714,1713,1712,1711,1710,1709,1708,1707,1706,1705,1704,1703,1702,1701,1492,1491,1490,1489,1488,1471,1470,1469,1467,1466,1453,1436,1429,1427,1415,1413,1411,1410,1408,1407,1406,1405,1404,1403,1402,1401,1400,1399,1398,1397,1394,1393,1392,1389,1388,1387,1386,1385,1384,1383,1382,1373,1372,1371,1370,1367,1364,1363,1362,1360,1357,1356,1355,1351,1350,1349,1347,1345,1344,1342,1340,1338,1336,1334,1332,1330,1328,1323,1318,1316,1314,1312,1310,1308,1302,1300,1299,1297,1295,1291,1290,1289,1281,1279,1271,1254,1253,1252,1251,1240,1234,1206,1202,1175,1172,1171,1170,1169,1163,1159,1128,1092,1067,1054,1053,1052,1051,1050,1049,1048,1047,1035,1032,988,987,986,985,983,973,967,966,965,962,955,954,949,945,910,905,899,896,893,889,870,859,855,837,832,810,806,802,749,716,711,691,687,680,678,676,673,615,612,589,584,564,560,553,551,548,545,542,541]) ).
thf(1766,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1765]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP114^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.17 % Computer : n018.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Oct 6 11:20:07 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.96/1.51 ..
% 7.96/1.51
% 7.96/1.51 No.of.Axioms: 65
% 7.96/1.51
% 7.96/1.51 Length.of.Defs: 0
% 7.96/1.51
% 7.96/1.51 Contains.Choice.Funs: true
% 7.96/1.51 ............................................
% 7.96/1.51
% 7.96/1.51 ********************************
% 7.96/1.51 * All subproblems solved! *
% 7.96/1.51 ********************************
% 7.96/1.51 % 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:1765,loop_count:0,foatp_calls:1,translation:fof_full)
% 7.96/1.51
% 7.96/1.51 %**** Beginning of derivation protocol ****
% 7.96/1.51 % SZS output start CNFRefutation
% See solution above
% 7.96/1.53
% 7.96/1.53 %**** End of derivation protocol ****
% 7.96/1.53 %**** no. of clauses in derivation: 1480 ****
% 7.96/1.53 %**** clause counter: 1765 ****
% 7.96/1.53
% 7.96/1.53 % 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:1765,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------