%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP073^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 10:23:59 AM UTC 2026
% Result : Theorem 13.35s 2.59s
% Output : CNFRefutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 64
% Syntax : Number of formulae : 1282 ( 457 unt; 0 typ; 0 def)
% Number of atoms : 9995 (3491 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 16240 (2810 ~;2884 |; 27 &;10147 @)
% ( 0 <=>; 372 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 555 ( 555 >; 0 *; 0 +; 0 <<)
% Number of symbols : 96 ( 93 usr; 6 con; 0-4 aty)
% Number of variables : 3986 ( 207 ^;3779 !; 0 ?;3986 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_hF_Mirabelle_hf,type,
hF_Mirabelle_hf: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_set_HF_Mirabelle_hf,type,
set_HF_Mirabelle_hf: $tType ).
thf(tp_set_nat,type,
set_nat: $tType ).
thf(tp_set_se933006839lle_hf,type,
set_se933006839lle_hf: $tType ).
thf(tp_a,type,
a: hF_Mirabelle_hf ).
thf(tp_b,type,
b: hF_Mirabelle_hf ).
thf(tp_collec1758573718lle_hf,type,
collec1758573718lle_hf: ( set_HF_Mirabelle_hf > $o ) > set_se933006839lle_hf ).
thf(tp_collec2046588256lle_hf,type,
collec2046588256lle_hf: ( hF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(tp_finite1213132899lle_hf,type,
finite1213132899lle_hf: set_HF_Mirabelle_hf > nat ).
thf(tp_finite1450550360lle_hf,type,
finite1450550360lle_hf: set_se933006839lle_hf > $o ).
thf(tp_finite586181922lle_hf,type,
finite586181922lle_hf: set_HF_Mirabelle_hf > $o ).
thf(tp_finite90088345lle_hf,type,
finite90088345lle_hf: set_se933006839lle_hf > nat ).
thf(tp_finite_card_nat,type,
finite_card_nat: set_nat > nat ).
thf(tp_finite_finite_nat,type,
finite_finite_nat: set_nat > $o ).
thf(tp_hF_Mir1248913145eplace,type,
hF_Mir1248913145eplace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_hF_Mir818139703ollect,type,
hF_Mir818139703ollect: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_HF,type,
hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_HUnion,type,
hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_RepFun,type,
hF_Mirabelle_RepFun: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_Replace,type,
hF_Mirabelle_Replace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_hfset,type,
hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_hmem,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(tp_image_131453538hf_nat,type,
image_131453538hf_nat: ( hF_Mirabelle_hf > nat ) > set_HF_Mirabelle_hf > set_nat ).
thf(tp_image_1743964010lle_hf,type,
image_1743964010lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(tp_image_246164834lle_hf,type,
image_246164834lle_hf: ( nat > hF_Mirabelle_hf ) > set_nat > set_HF_Mirabelle_hf ).
thf(tp_image_899003828lle_hf,type,
image_899003828lle_hf: ( set_HF_Mirabelle_hf > hF_Mirabelle_hf ) > set_se933006839lle_hf > set_HF_Mirabelle_hf ).
thf(tp_image_nat_nat,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(tp_inj_on1874279374hf_nat,type,
inj_on1874279374hf_nat: ( hF_Mirabelle_hf > nat ) > set_HF_Mirabelle_hf > $o ).
thf(tp_inj_on1988990670lle_hf,type,
inj_on1988990670lle_hf: ( nat > hF_Mirabelle_hf ) > set_nat > $o ).
thf(tp_inj_on755450110lle_hf,type,
inj_on755450110lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf > $o ).
thf(tp_inj_on811196232lle_hf,type,
inj_on811196232lle_hf: ( set_HF_Mirabelle_hf > hF_Mirabelle_hf ) > set_se933006839lle_hf > $o ).
thf(tp_inj_on_nat_nat,type,
inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
thf(tp_member1367349282lle_hf,type,
member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(tp_member1490636632lle_hf,type,
member1490636632lle_hf: set_HF_Mirabelle_hf > set_se933006839lle_hf > $o ).
thf(tp_member_nat,type,
member_nat: nat > set_nat > $o ).
thf(tp_ord_le1310584031lle_hf,type,
ord_le1310584031lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(tp_ord_le1344122901lle_hf,type,
ord_le1344122901lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(tp_ord_le2017230260lle_hf,type,
ord_le2017230260lle_hf: ( $o > hF_Mirabelle_hf ) > ( $o > hF_Mirabelle_hf ) > $o ).
thf(tp_ord_le432112161lle_hf,type,
ord_le432112161lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(tp_ord_le976219883lle_hf,type,
ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_ord_less_eq_o_nat,type,
ord_less_eq_o_nat: ( $o > nat ) > ( $o > nat ) > $o ).
thf(tp_ord_less_eq_set_nat,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(tp_ord_less_nat,type,
ord_less_nat: nat > nat > $o ).
thf(tp_ord_less_set_nat,type,
ord_less_set_nat: set_nat > set_nat > $o ).
thf(tp_order_1631207636at_nat,type,
order_1631207636at_nat: ( nat > nat ) > $o ).
thf(tp_order_1640852850lle_hf,type,
order_1640852850lle_hf: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_order_557194383hf_nat,type,
order_557194383hf_nat: ( hF_Mirabelle_hf > nat ) > $o ).
thf(tp_order_671905679lle_hf,type,
order_671905679lle_hf: ( nat > hF_Mirabelle_hf ) > $o ).
thf(tp_order_690706045lle_hf,type,
order_690706045lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > $o ).
thf(tp_order_Greatest_nat,type,
order_Greatest_nat: ( nat > $o ) > nat ).
thf(tp_orderi1737556723lle_hf,type,
orderi1737556723lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > $o ).
thf(tp_ordering_nat,type,
ordering_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(tp_sK10_SY470,type,
sK10_SY470: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_sK11_SY390,type,
sK11_SY390: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_sK12_SY476,type,
sK12_SY476: nat > hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > nat ).
thf(tp_sK13_SY479,type,
sK13_SY479: hF_Mirabelle_hf > nat > hF_Mirabelle_hf > ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(tp_sK14_SY482,type,
sK14_SY482: hF_Mirabelle_hf > nat > hF_Mirabelle_hf > ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(tp_sK15_SY407,type,
sK15_SY407: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_sK16_SY415,type,
sK16_SY415: nat > nat > hF_Mirabelle_hf > ( nat > hF_Mirabelle_hf ) > nat ).
thf(tp_sK17_SY491,type,
sK17_SY491: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_sK18_SY426,type,
sK18_SY426: nat > nat > hF_Mirabelle_hf > ( nat > hF_Mirabelle_hf ) > nat ).
thf(tp_sK19_SY430,type,
sK19_SY430: hF_Mirabelle_hf > hF_Mirabelle_hf > nat > ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(tp_sK1_SY241,type,
sK1_SY241: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_sK20_SY504,type,
sK20_SY504: nat > hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > nat ).
thf(tp_sK21_SY445,type,
sK21_SY445: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_sK22_SY510,type,
sK22_SY510: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_sK23_SY513,type,
sK23_SY513: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_sK24_SY551,type,
sK24_SY551: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK25_SY552,type,
sK25_SY552: ( hF_Mirabelle_hf > nat ) > nat > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK26_SY553,type,
sK26_SY553: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK27_SY554,type,
sK27_SY554: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK28_SY555,type,
sK28_SY555: ( nat > hF_Mirabelle_hf ) > nat > hF_Mirabelle_hf > nat > nat ).
thf(tp_sK29_SY556,type,
sK29_SY556: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK2_SY517,type,
sK2_SY517: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_sK30_SY557,type,
sK30_SY557: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK31_SY558,type,
sK31_SY558: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK32_SY559,type,
sK32_SY559: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > nat > nat ).
thf(tp_sK33_SY560,type,
sK33_SY560: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK34_SY561,type,
sK34_SY561: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > nat > nat ).
thf(tp_sK35_SY562,type,
sK35_SY562: ( hF_Mirabelle_hf > nat ) > nat > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK36_SY500,type,
sK36_SY500: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_sK37_SY563,type,
sK37_SY563: ( nat > hF_Mirabelle_hf ) > nat > hF_Mirabelle_hf > nat > nat ).
thf(tp_sK38_SY564,type,
sK38_SY564: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK39_SY565,type,
sK39_SY565: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK3_SY378,type,
sK3_SY378: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_sK40_SY566,type,
sK40_SY566: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK41_SY500,type,
sK41_SY500: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_sK4_SY450,type,
sK4_SY450: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_sK5_SY434,type,
sK5_SY434: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_sK6_SY549,type,
sK6_SY549: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_sK7_SY540,type,
sK7_SY540: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK8_SY370,type,
sK8_SY370: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(tp_sK9_SY382,type,
sK9_SY382: hF_Mirabelle_hf > hF_Mirabelle_hf > nat > ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(tp_set_or1544565540an_nat,type,
set_or1544565540an_nat: nat > nat > set_nat ).
thf(tp_zero_z189798548lle_hf,type,
zero_z189798548lle_hf: hF_Mirabelle_hf ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(123,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( A != B )
=> ( ( ord_le976219883lle_hf @ A @ B )
=> ( ord_le1310584031lle_hf @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_224_order_Onot__eq__order__implies__strict) ).
thf(125,axiom,
! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ B @ A )
=> ( ord_le976219883lle_hf @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_222_dual__order_Ostrict__implies__order) ).
thf(127,axiom,
( ord_le1310584031lle_hf
= ( ^ [B2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B2 @ A2 )
& ( A2 != B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_dual__order_Ostrict__iff__order) ).
thf(129,axiom,
( ord_le976219883lle_hf
= ( ^ [B2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ B2 @ A2 )
| ( A2 = B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_dual__order_Oorder__iff__strict) ).
thf(131,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A @ B )
=> ( ord_le976219883lle_hf @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_216_order_Ostrict__implies__order) ).
thf(133,axiom,
! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ B @ A )
=> ( ( ord_le976219883lle_hf @ C @ B )
=> ( ord_le1310584031lle_hf @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_214_dual__order_Ostrict__trans2) ).
thf(135,axiom,
! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B @ A )
=> ( ( ord_le1310584031lle_hf @ C @ B )
=> ( ord_le1310584031lle_hf @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_dual__order_Ostrict__trans1) ).
thf(137,axiom,
( ord_le1310584031lle_hf
= ( ^ [A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A2 @ B2 )
& ( A2 != B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_order_Ostrict__iff__order) ).
thf(139,axiom,
( ord_le976219883lle_hf
= ( ^ [A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A2 @ B2 )
| ( A2 = B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_order_Oorder__iff__strict) ).
thf(141,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ord_le1310584031lle_hf @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_order_Ostrict__trans2) ).
thf(143,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le1310584031lle_hf @ B @ C )
=> ( ord_le1310584031lle_hf @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_order_Ostrict__trans1) ).
thf(146,axiom,
( ord_le1310584031lle_hf
= ( ^ [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X2 @ Y3 )
& ~ ( ord_le976219883lle_hf @ Y3 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_201_less__le__not__le) ).
thf(148,axiom,
! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ord_le1310584031lle_hf @ X3 @ Y2 )
| ( X3 = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_le__imp__less__or__eq) ).
thf(151,axiom,
! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf,Z3: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X3 @ Y2 )
=> ( ( ord_le976219883lle_hf @ Y2 @ Z3 )
=> ( ord_le1310584031lle_hf @ X3 @ Z3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_less__le__trans) ).
thf(153,axiom,
! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf,Z3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ord_le1310584031lle_hf @ Y2 @ Z3 )
=> ( ord_le1310584031lle_hf @ X3 @ Z3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_le__less__trans) ).
thf(155,axiom,
! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X3 @ Y2 )
=> ( ord_le976219883lle_hf @ X3 @ Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_192_less__imp__le) ).
thf(157,axiom,
! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ~ ( ord_le1310584031lle_hf @ X3 @ Y2 ) )
= ( X3 = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_antisym__conv2) ).
thf(159,axiom,
! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ X3 @ Y2 )
=> ( ( ord_le976219883lle_hf @ X3 @ Y2 )
= ( X3 = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_antisym__conv1) ).
thf(161,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( A != B )
=> ( ord_le1310584031lle_hf @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_le__neq__trans) ).
thf(167,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ ( F @ B ) @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X @ Y4 )
=> ( ord_le1310584031lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le1310584031lle_hf @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_order__less__le__subst2) ).
thf(171,axiom,
! [A: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A @ ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le1310584031lle_hf @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_order__less__le__subst1) ).
thf(175,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le1310584031lle_hf @ ( F @ B ) @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le1310584031lle_hf @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_order__le__less__subst2) ).
thf(179,axiom,
! [A: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ ( F @ B ) )
=> ( ( ord_le1310584031lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X @ Y4 )
=> ( ord_le1310584031lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le1310584031lle_hf @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_168_order__le__less__subst1) ).
thf(181,axiom,
( ord_le1310584031lle_hf
= ( ^ [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X2 @ Y3 )
& ( X2 != Y3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_less__le) ).
thf(183,axiom,
( ord_le976219883lle_hf
= ( ^ [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X2 @ Y3 )
| ( X2 = Y3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_le__less) ).
thf(186,axiom,
! [Y2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ Y2 @ X3 )
=> ~ ( ord_le1310584031lle_hf @ X3 @ Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_leD) ).
thf(257,axiom,
! [F: hF_Mirabelle_hf > hF_Mirabelle_hf,X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( order_690706045lle_hf @ F )
=> ( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ord_le976219883lle_hf @ ( F @ Y2 ) @ ( F @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_antimonoD) ).
thf(261,axiom,
! [F: hF_Mirabelle_hf > hF_Mirabelle_hf,X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( order_690706045lle_hf @ F )
=> ( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ord_le976219883lle_hf @ ( F @ Y2 ) @ ( F @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_antimonoE) ).
thf(265,axiom,
! [F: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ Y4 ) @ ( F @ X ) ) )
=> ( order_690706045lle_hf @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_antimonoI) ).
thf(269,axiom,
( order_690706045lle_hf
= ( ^ [F2: hF_Mirabelle_hf > hF_Mirabelle_hf] :
! [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X2 @ Y3 )
=> ( ord_le976219883lle_hf @ ( F2 @ Y3 ) @ ( F2 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_antimono__def) ).
thf(270,axiom,
( ord_le1310584031lle_hf
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A3 @ B3 )
& ( A3 != B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_less__hf__def) ).
thf(279,axiom,
( ord_le2017230260lle_hf
= ( ^ [X4: $o > hF_Mirabelle_hf,Y6: $o > hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ ( X4 @ $false ) @ ( Y6 @ $false ) )
& ( ord_le976219883lle_hf @ ( X4 @ $true ) @ ( Y6 @ $true ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_le__rel__bool__arg__iff) ).
thf(281,axiom,
! [P: hF_Mirabelle_hf > $o,X3: hF_Mirabelle_hf,Q: hF_Mirabelle_hf > $o] :
( ( P @ X3 )
=> ( ! [Y4: hF_Mirabelle_hf] :
( ( P @ Y4 )
=> ( ord_le976219883lle_hf @ Y4 @ X3 ) )
=> ( ! [X: hF_Mirabelle_hf] :
( ( P @ X )
=> ( ! [Y5: hF_Mirabelle_hf] :
( ( P @ Y5 )
=> ( ord_le976219883lle_hf @ Y5 @ X ) )
=> ( Q @ X ) ) )
=> ( Q @ ( order_1640852850lle_hf @ P ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_GreatestI2__order) ).
thf(283,axiom,
! [P: hF_Mirabelle_hf > $o,X3: hF_Mirabelle_hf] :
( ( P @ X3 )
=> ( ! [Y4: hF_Mirabelle_hf] :
( ( P @ Y4 )
=> ( ord_le976219883lle_hf @ Y4 @ X3 ) )
=> ( ( order_1640852850lle_hf @ P )
= X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_Greatest__equality) ).
thf(285,axiom,
! [A: hF_Mirabelle_hf,F: nat > hF_Mirabelle_hf,B: nat,C: nat] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X: nat,Y4: nat] :
( ( ord_less_eq_nat @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_ord__eq__le__subst) ).
thf(286,axiom,
! [A: nat,F: hF_Mirabelle_hf > nat,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( A
= ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_less_eq_nat @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_less_eq_nat @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_ord__eq__le__subst) ).
thf(287,axiom,
! [A: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( A
= ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_ord__eq__le__subst) ).
thf(289,axiom,
! [A: nat,B: nat,F: nat > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X: nat,Y4: nat] :
( ( ord_less_eq_nat @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_ord__le__eq__subst) ).
thf(290,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > nat,C: nat] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_less_eq_nat @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_less_eq_nat @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_ord__le__eq__subst) ).
thf(291,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_ord__le__eq__subst) ).
thf(293,axiom,
( ( ^ [Y: hF_Mirabelle_hf,Z: hF_Mirabelle_hf] : ( Y = Z ) )
= ( ^ [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X2 @ Y3 )
& ( ord_le976219883lle_hf @ Y3 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_eq__iff) ).
thf(295,axiom,
! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ord_le976219883lle_hf @ Y2 @ X3 )
=> ( X3 = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_antisym) ).
thf(298,axiom,
! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( X3 = Y2 )
=> ( ord_le976219883lle_hf @ X3 @ Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_eq__refl) ).
thf(301,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ord_le976219883lle_hf @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_order_Otrans) ).
thf(304,axiom,
! [Y2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ Y2 @ X3 )
=> ( ( ord_le976219883lle_hf @ X3 @ Y2 )
= ( X3 = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_antisym__conv) ).
thf(306,axiom,
( ( ^ [Y: hF_Mirabelle_hf,Z: hF_Mirabelle_hf] : ( Y = Z ) )
= ( ^ [A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A2 @ B2 )
& ( ord_le976219883lle_hf @ B2 @ A2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_order__class_Oorder_Oeq__iff) ).
thf(308,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( A = B )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ord_le976219883lle_hf @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_ord__eq__le__trans) ).
thf(310,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( B = C )
=> ( ord_le976219883lle_hf @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_ord__le__eq__trans) ).
thf(312,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ B @ A )
=> ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_order__class_Oorder_Oantisym) ).
thf(314,axiom,
! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf,Z3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ord_le976219883lle_hf @ Y2 @ Z3 )
=> ( ord_le976219883lle_hf @ X3 @ Z3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_order__trans) ).
thf(316,axiom,
! [A: hF_Mirabelle_hf] : ( ord_le976219883lle_hf @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_dual__order_Orefl) ).
thf(319,axiom,
! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B @ A )
=> ( ( ord_le976219883lle_hf @ C @ B )
=> ( ord_le976219883lle_hf @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_dual__order_Otrans) ).
thf(321,axiom,
( ( ^ [Y: hF_Mirabelle_hf,Z: hF_Mirabelle_hf] : ( Y = Z ) )
= ( ^ [A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B2 @ A2 )
& ( ord_le976219883lle_hf @ A2 @ B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_dual__order_Oeq__iff) ).
thf(323,axiom,
! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B @ A )
=> ( ( ord_le976219883lle_hf @ A @ B )
=> ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_dual__order_Oantisym) ).
thf(327,axiom,
! [A: nat,B: nat,F: nat > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ord_le976219883lle_hf @ ( F @ B ) @ C )
=> ( ! [X: nat,Y4: nat] :
( ( ord_less_eq_nat @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_order__subst2) ).
thf(328,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > nat,C: nat] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_less_eq_nat @ ( F @ B ) @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_less_eq_nat @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_less_eq_nat @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_order__subst2) ).
thf(329,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ ( F @ B ) @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_order__subst2) ).
thf(331,axiom,
! [A: nat,F: hF_Mirabelle_hf > nat,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_less_eq_nat @ A @ ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_less_eq_nat @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_less_eq_nat @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_order__subst1) ).
thf(332,axiom,
! [A: hF_Mirabelle_hf,F: nat > hF_Mirabelle_hf,B: nat,C: nat] :
( ( ord_le976219883lle_hf @ A @ ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X: nat,Y4: nat] :
( ( ord_less_eq_nat @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_order__subst1) ).
thf(333,axiom,
! [A: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_order__subst1) ).
thf(339,axiom,
! [X3: hF_Mirabelle_hf] : ( ord_le976219883lle_hf @ X3 @ X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_order__refl) ).
thf(341,axiom,
( ord_le976219883lle_hf
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] :
! [X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ A3 )
=> ( hF_Mirabelle_hmem @ X2 @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_less__eq__hf__def) ).
thf(348,axiom,
! [X6: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X6 @ a )
=> ( hF_Mirabelle_hmem @ X6 @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(349,conjecture,
ord_le976219883lle_hf @ a @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(350,negated_conjecture,
( ( ord_le976219883lle_hf @ a @ b )
= $false ),
inference(negate_conjecture,[status(cth)],[349]) ).
thf(351,plain,
( ( ord_le976219883lle_hf @ a @ b )
= $false ),
inference(unfold_def,[status(thm)],[350]) ).
thf(352,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( A != B )
=> ( ( ord_le976219883lle_hf @ A @ B )
=> ( ord_le1310584031lle_hf @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(353,plain,
( ( ! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ B @ A )
=> ( ord_le976219883lle_hf @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(354,plain,
( ( ord_le1310584031lle_hf
= ( ^ [B2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B2 @ A2 )
& ( A2 != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(355,plain,
( ( ord_le976219883lle_hf
= ( ^ [B2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ B2 @ A2 )
| ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(356,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A @ B )
=> ( ord_le976219883lle_hf @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(357,plain,
( ( ! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ B @ A )
=> ( ( ord_le976219883lle_hf @ C @ B )
=> ( ord_le1310584031lle_hf @ C @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(358,plain,
( ( ! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B @ A )
=> ( ( ord_le1310584031lle_hf @ C @ B )
=> ( ord_le1310584031lle_hf @ C @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(359,plain,
( ( ord_le1310584031lle_hf
= ( ^ [A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A2 @ B2 )
& ( A2 != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(360,plain,
( ( ord_le976219883lle_hf
= ( ^ [A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A2 @ B2 )
| ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(361,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ord_le1310584031lle_hf @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(362,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le1310584031lle_hf @ B @ C )
=> ( ord_le1310584031lle_hf @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(363,plain,
( ( ord_le1310584031lle_hf
= ( ^ [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X2 @ Y3 )
& ~ ( ord_le976219883lle_hf @ Y3 @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(364,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ord_le1310584031lle_hf @ X3 @ Y2 )
| ( X3 = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(365,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf,Z3: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X3 @ Y2 )
=> ( ( ord_le976219883lle_hf @ Y2 @ Z3 )
=> ( ord_le1310584031lle_hf @ X3 @ Z3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(366,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf,Z3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ord_le1310584031lle_hf @ Y2 @ Z3 )
=> ( ord_le1310584031lle_hf @ X3 @ Z3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(367,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X3 @ Y2 )
=> ( ord_le976219883lle_hf @ X3 @ Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(368,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ~ ( ord_le1310584031lle_hf @ X3 @ Y2 ) )
= ( X3 = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(369,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ X3 @ Y2 )
=> ( ( ord_le976219883lle_hf @ X3 @ Y2 )
= ( X3 = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(370,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( A != B )
=> ( ord_le1310584031lle_hf @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(371,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ ( F @ B ) @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X @ Y4 )
=> ( ord_le1310584031lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le1310584031lle_hf @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(372,plain,
( ( ! [A: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A @ ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le1310584031lle_hf @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(373,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le1310584031lle_hf @ ( F @ B ) @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le1310584031lle_hf @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(374,plain,
( ( ! [A: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ ( F @ B ) )
=> ( ( ord_le1310584031lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X @ Y4 )
=> ( ord_le1310584031lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le1310584031lle_hf @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(375,plain,
( ( ord_le1310584031lle_hf
= ( ^ [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X2 @ Y3 )
& ( X2 != Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(376,plain,
( ( ord_le976219883lle_hf
= ( ^ [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X2 @ Y3 )
| ( X2 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(377,plain,
( ( ! [Y2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ Y2 @ X3 )
=> ~ ( ord_le1310584031lle_hf @ X3 @ Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(378,plain,
( ( ! [F: hF_Mirabelle_hf > hF_Mirabelle_hf,X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( order_690706045lle_hf @ F )
=> ( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ord_le976219883lle_hf @ ( F @ Y2 ) @ ( F @ X3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(379,plain,
( ( ! [F: hF_Mirabelle_hf > hF_Mirabelle_hf,X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( order_690706045lle_hf @ F )
=> ( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ord_le976219883lle_hf @ ( F @ Y2 ) @ ( F @ X3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(380,plain,
( ( ! [F: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ Y4 ) @ ( F @ X ) ) )
=> ( order_690706045lle_hf @ F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(381,plain,
( ( order_690706045lle_hf
= ( ^ [F2: hF_Mirabelle_hf > hF_Mirabelle_hf] :
! [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X2 @ Y3 )
=> ( ord_le976219883lle_hf @ ( F2 @ Y3 ) @ ( F2 @ X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(382,plain,
( ( ord_le1310584031lle_hf
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A3 @ B3 )
& ( A3 != B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(383,plain,
( ( ord_le2017230260lle_hf
= ( ^ [X4: $o > hF_Mirabelle_hf,Y6: $o > hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ ( X4 @ $false ) @ ( Y6 @ $false ) )
& ( ord_le976219883lle_hf @ ( X4 @ $true ) @ ( Y6 @ $true ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(384,plain,
( ( ! [P: hF_Mirabelle_hf > $o,X3: hF_Mirabelle_hf,Q: hF_Mirabelle_hf > $o] :
( ( P @ X3 )
=> ( ! [Y4: hF_Mirabelle_hf] :
( ( P @ Y4 )
=> ( ord_le976219883lle_hf @ Y4 @ X3 ) )
=> ( ! [X: hF_Mirabelle_hf] :
( ( P @ X )
=> ( ! [Y5: hF_Mirabelle_hf] :
( ( P @ Y5 )
=> ( ord_le976219883lle_hf @ Y5 @ X ) )
=> ( Q @ X ) ) )
=> ( Q @ ( order_1640852850lle_hf @ P ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[281]) ).
thf(385,plain,
( ( ! [P: hF_Mirabelle_hf > $o,X3: hF_Mirabelle_hf] :
( ( P @ X3 )
=> ( ! [Y4: hF_Mirabelle_hf] :
( ( P @ Y4 )
=> ( ord_le976219883lle_hf @ Y4 @ X3 ) )
=> ( ( order_1640852850lle_hf @ P )
= X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(386,plain,
( ( ! [A: hF_Mirabelle_hf,F: nat > hF_Mirabelle_hf,B: nat,C: nat] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X: nat,Y4: nat] :
( ( ord_less_eq_nat @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(387,plain,
( ( ! [A: nat,F: hF_Mirabelle_hf > nat,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( A
= ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_less_eq_nat @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_less_eq_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(388,plain,
( ( ! [A: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( A
= ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(389,plain,
( ( ! [A: nat,B: nat,F: nat > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X: nat,Y4: nat] :
( ( ord_less_eq_nat @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(390,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > nat,C: nat] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_less_eq_nat @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_less_eq_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(391,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(392,plain,
( ( ( ^ [Y: hF_Mirabelle_hf,Z: hF_Mirabelle_hf] : ( Y = Z ) )
= ( ^ [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X2 @ Y3 )
& ( ord_le976219883lle_hf @ Y3 @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(393,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ord_le976219883lle_hf @ Y2 @ X3 )
=> ( X3 = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(394,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( X3 = Y2 )
=> ( ord_le976219883lle_hf @ X3 @ Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(395,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ord_le976219883lle_hf @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(396,plain,
( ( ! [Y2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ Y2 @ X3 )
=> ( ( ord_le976219883lle_hf @ X3 @ Y2 )
= ( X3 = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(397,plain,
( ( ( ^ [Y: hF_Mirabelle_hf,Z: hF_Mirabelle_hf] : ( Y = Z ) )
= ( ^ [A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A2 @ B2 )
& ( ord_le976219883lle_hf @ B2 @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(398,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( A = B )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ord_le976219883lle_hf @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(399,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( B = C )
=> ( ord_le976219883lle_hf @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(400,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(401,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf,Z3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ord_le976219883lle_hf @ Y2 @ Z3 )
=> ( ord_le976219883lle_hf @ X3 @ Z3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(402,plain,
( ( ! [A: hF_Mirabelle_hf] : ( ord_le976219883lle_hf @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(403,plain,
( ( ! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B @ A )
=> ( ( ord_le976219883lle_hf @ C @ B )
=> ( ord_le976219883lle_hf @ C @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(404,plain,
( ( ( ^ [Y: hF_Mirabelle_hf,Z: hF_Mirabelle_hf] : ( Y = Z ) )
= ( ^ [A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B2 @ A2 )
& ( ord_le976219883lle_hf @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(405,plain,
( ( ! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B @ A )
=> ( ( ord_le976219883lle_hf @ A @ B )
=> ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(406,plain,
( ( ! [A: nat,B: nat,F: nat > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ord_le976219883lle_hf @ ( F @ B ) @ C )
=> ( ! [X: nat,Y4: nat] :
( ( ord_less_eq_nat @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(407,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > nat,C: nat] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_less_eq_nat @ ( F @ B ) @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_less_eq_nat @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_less_eq_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(408,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ ( F @ B ) @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(409,plain,
( ( ! [A: nat,F: hF_Mirabelle_hf > nat,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_less_eq_nat @ A @ ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_less_eq_nat @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_less_eq_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(410,plain,
( ( ! [A: hF_Mirabelle_hf,F: nat > hF_Mirabelle_hf,B: nat,C: nat] :
( ( ord_le976219883lle_hf @ A @ ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X: nat,Y4: nat] :
( ( ord_less_eq_nat @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(411,plain,
( ( ! [A: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(412,plain,
( ( ! [X3: hF_Mirabelle_hf] : ( ord_le976219883lle_hf @ X3 @ X3 ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(413,plain,
( ( ord_le976219883lle_hf
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] :
! [X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ A3 )
=> ( hF_Mirabelle_hmem @ X2 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(414,plain,
( ( ! [X6: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X6 @ a )
=> ( hF_Mirabelle_hmem @ X6 @ b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(415,plain,
( ( ~ ( ord_le976219883lle_hf @ a @ b ) )
= $true ),
inference(polarity_switch,[status(thm)],[351]) ).
thf(416,plain,
( ( ! [X6: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X6 @ a )
=> ( hF_Mirabelle_hmem @ X6 @ b ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(417,plain,
( ( ord_le976219883lle_hf
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] :
! [X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ A3 )
=> ( hF_Mirabelle_hmem @ X2 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(418,plain,
( ( ! [X3: hF_Mirabelle_hf] : ( ord_le976219883lle_hf @ X3 @ X3 ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(419,plain,
( ( ! [A: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(420,plain,
( ( ! [A: hF_Mirabelle_hf,F: nat > hF_Mirabelle_hf,B: nat,C: nat] :
( ( ord_le976219883lle_hf @ A @ ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X: nat,Y4: nat] :
( ( ord_less_eq_nat @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(421,plain,
( ( ! [A: nat,F: hF_Mirabelle_hf > nat,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_less_eq_nat @ A @ ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_less_eq_nat @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_less_eq_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(422,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ ( F @ B ) @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(423,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > nat,C: nat] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_less_eq_nat @ ( F @ B ) @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_less_eq_nat @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_less_eq_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(424,plain,
( ( ! [A: nat,B: nat,F: nat > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ord_le976219883lle_hf @ ( F @ B ) @ C )
=> ( ! [X: nat,Y4: nat] :
( ( ord_less_eq_nat @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(425,plain,
( ( ! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B @ A )
=> ( ( ord_le976219883lle_hf @ A @ B )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(426,plain,
( ( ( ^ [Y: hF_Mirabelle_hf,Z: hF_Mirabelle_hf] : ( Y = Z ) )
= ( ^ [A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B2 @ A2 )
& ( ord_le976219883lle_hf @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(427,plain,
( ( ! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B @ A )
=> ( ( ord_le976219883lle_hf @ C @ B )
=> ( ord_le976219883lle_hf @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(428,plain,
( ( ! [A: hF_Mirabelle_hf] : ( ord_le976219883lle_hf @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(429,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf,Z3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ord_le976219883lle_hf @ Y2 @ Z3 )
=> ( ord_le976219883lle_hf @ X3 @ Z3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(430,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(431,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( B = C )
=> ( ord_le976219883lle_hf @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(432,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( A = B )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ord_le976219883lle_hf @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(433,plain,
( ( ( ^ [Y: hF_Mirabelle_hf,Z: hF_Mirabelle_hf] : ( Y = Z ) )
= ( ^ [A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A2 @ B2 )
& ( ord_le976219883lle_hf @ B2 @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(434,plain,
( ( ! [Y2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ Y2 @ X3 )
=> ( ( ord_le976219883lle_hf @ X3 @ Y2 )
= ( X3 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(435,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ord_le976219883lle_hf @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(436,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( X3 = Y2 )
=> ( ord_le976219883lle_hf @ X3 @ Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(437,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ord_le976219883lle_hf @ Y2 @ X3 )
=> ( X3 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(438,plain,
( ( ( ^ [Y: hF_Mirabelle_hf,Z: hF_Mirabelle_hf] : ( Y = Z ) )
= ( ^ [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X2 @ Y3 )
& ( ord_le976219883lle_hf @ Y3 @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(439,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(440,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > nat,C: nat] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_less_eq_nat @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_less_eq_nat @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(441,plain,
( ( ! [A: nat,B: nat,F: nat > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_less_eq_nat @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X: nat,Y4: nat] :
( ( ord_less_eq_nat @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(442,plain,
( ( ! [A: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( A
= ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(443,plain,
( ( ! [A: nat,F: hF_Mirabelle_hf > nat,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( A
= ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_less_eq_nat @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_less_eq_nat @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(444,plain,
( ( ! [A: hF_Mirabelle_hf,F: nat > hF_Mirabelle_hf,B: nat,C: nat] :
( ( A
= ( F @ B ) )
=> ( ( ord_less_eq_nat @ B @ C )
=> ( ! [X: nat,Y4: nat] :
( ( ord_less_eq_nat @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le976219883lle_hf @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(445,plain,
( ( ! [P: hF_Mirabelle_hf > $o,X3: hF_Mirabelle_hf] :
( ( P @ X3 )
=> ( ! [Y4: hF_Mirabelle_hf] :
( ( P @ Y4 )
=> ( ord_le976219883lle_hf @ Y4 @ X3 ) )
=> ( ( order_1640852850lle_hf @ P )
= X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(446,plain,
( ( ! [P: hF_Mirabelle_hf > $o,X3: hF_Mirabelle_hf,Q: hF_Mirabelle_hf > $o] :
( ( P @ X3 )
=> ( ! [Y4: hF_Mirabelle_hf] :
( ( P @ Y4 )
=> ( ord_le976219883lle_hf @ Y4 @ X3 ) )
=> ( ! [X: hF_Mirabelle_hf] :
( ( P @ X )
=> ( ! [Y5: hF_Mirabelle_hf] :
( ( P @ Y5 )
=> ( ord_le976219883lle_hf @ Y5 @ X ) )
=> ( Q @ X ) ) )
=> ( Q @ ( order_1640852850lle_hf @ P ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(447,plain,
( ( ord_le2017230260lle_hf
= ( ^ [X4: $o > hF_Mirabelle_hf,Y6: $o > hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ ( X4 @ $false ) @ ( Y6 @ $false ) )
& ( ord_le976219883lle_hf @ ( X4 @ $true ) @ ( Y6 @ $true ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(448,plain,
( ( ord_le1310584031lle_hf
= ( ^ [A3: hF_Mirabelle_hf,B3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A3 @ B3 )
& ( A3 != B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(449,plain,
( ( order_690706045lle_hf
= ( ^ [F2: hF_Mirabelle_hf > hF_Mirabelle_hf] :
! [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X2 @ Y3 )
=> ( ord_le976219883lle_hf @ ( F2 @ Y3 ) @ ( F2 @ X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(450,plain,
( ( ! [F: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ Y4 ) @ ( F @ X ) ) )
=> ( order_690706045lle_hf @ F ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(451,plain,
( ( ! [F: hF_Mirabelle_hf > hF_Mirabelle_hf,X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( order_690706045lle_hf @ F )
=> ( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ord_le976219883lle_hf @ ( F @ Y2 ) @ ( F @ X3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(452,plain,
( ( ! [F: hF_Mirabelle_hf > hF_Mirabelle_hf,X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( order_690706045lle_hf @ F )
=> ( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ord_le976219883lle_hf @ ( F @ Y2 ) @ ( F @ X3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(453,plain,
( ( ! [Y2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ Y2 @ X3 )
=> ~ ( ord_le1310584031lle_hf @ X3 @ Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(454,plain,
( ( ord_le976219883lle_hf
= ( ^ [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X2 @ Y3 )
| ( X2 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(455,plain,
( ( ord_le1310584031lle_hf
= ( ^ [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X2 @ Y3 )
& ( X2 != Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(456,plain,
( ( ! [A: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ ( F @ B ) )
=> ( ( ord_le1310584031lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X @ Y4 )
=> ( ord_le1310584031lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le1310584031lle_hf @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(457,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le1310584031lle_hf @ ( F @ B ) @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le1310584031lle_hf @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(458,plain,
( ( ! [A: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A @ ( F @ B ) )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X @ Y4 )
=> ( ord_le976219883lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le1310584031lle_hf @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(459,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ ( F @ B ) @ C )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X @ Y4 )
=> ( ord_le1310584031lle_hf @ ( F @ X ) @ ( F @ Y4 ) ) )
=> ( ord_le1310584031lle_hf @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(460,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( A != B )
=> ( ord_le1310584031lle_hf @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(461,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ X3 @ Y2 )
=> ( ( ord_le976219883lle_hf @ X3 @ Y2 )
= ( X3 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(462,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ~ ( ord_le1310584031lle_hf @ X3 @ Y2 ) )
= ( X3 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(463,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X3 @ Y2 )
=> ( ord_le976219883lle_hf @ X3 @ Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(464,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf,Z3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ord_le1310584031lle_hf @ Y2 @ Z3 )
=> ( ord_le1310584031lle_hf @ X3 @ Z3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(465,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf,Z3: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X3 @ Y2 )
=> ( ( ord_le976219883lle_hf @ Y2 @ Z3 )
=> ( ord_le1310584031lle_hf @ X3 @ Z3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(466,plain,
( ( ! [X3: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X3 @ Y2 )
=> ( ( ord_le1310584031lle_hf @ X3 @ Y2 )
| ( X3 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(467,plain,
( ( ord_le1310584031lle_hf
= ( ^ [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X2 @ Y3 )
& ~ ( ord_le976219883lle_hf @ Y3 @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(468,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A @ B )
=> ( ( ord_le1310584031lle_hf @ B @ C )
=> ( ord_le1310584031lle_hf @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(469,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A @ B )
=> ( ( ord_le976219883lle_hf @ B @ C )
=> ( ord_le1310584031lle_hf @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(470,plain,
( ( ord_le976219883lle_hf
= ( ^ [A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A2 @ B2 )
| ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(471,plain,
( ( ord_le1310584031lle_hf
= ( ^ [A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ A2 @ B2 )
& ( A2 != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(472,plain,
( ( ! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B @ A )
=> ( ( ord_le1310584031lle_hf @ C @ B )
=> ( ord_le1310584031lle_hf @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(473,plain,
( ( ! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ B @ A )
=> ( ( ord_le976219883lle_hf @ C @ B )
=> ( ord_le1310584031lle_hf @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(474,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A @ B )
=> ( ord_le976219883lle_hf @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(475,plain,
( ( ord_le976219883lle_hf
= ( ^ [B2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ B2 @ A2 )
| ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(476,plain,
( ( ord_le1310584031lle_hf
= ( ^ [B2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ B2 @ A2 )
& ( A2 != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(477,plain,
( ( ! [B: hF_Mirabelle_hf,A: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ B @ A )
=> ( ord_le976219883lle_hf @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(478,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ( A != B )
=> ( ( ord_le976219883lle_hf @ A @ B )
=> ( ord_le1310584031lle_hf @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(479,plain,
( ( ~ ( ord_le976219883lle_hf @ a @ b ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(480,plain,
( ( ! [SX0: hF_Mirabelle_hf > hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( order_690706045lle_hf @ SX0 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX2 )
| ( ord_le976219883lle_hf @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(481,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX2 )
| ( ord_le1310584031lle_hf @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(482,plain,
( ( ord_le1310584031lle_hf
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[455]) ).
thf(483,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > hF_Mirabelle_hf,SX2: hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_le976219883lle_hf @ SX2 @ SX3 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(484,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ( ( ~ ( ord_le1310584031lle_hf @ SX0 @ SX1 ) )
= ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(485,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le1310584031lle_hf @ SX1 @ SX2 )
| ( ord_le1310584031lle_hf @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(486,plain,
( ( ord_le1310584031lle_hf
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[471]) ).
thf(487,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le1310584031lle_hf @ SX2 @ SX0 )
| ( ord_le1310584031lle_hf @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[472]) ).
thf(488,plain,
( ( ord_le1310584031lle_hf
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ~ ( ord_le976219883lle_hf @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(489,plain,
( ( ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] : ( SX0 = SX1 ) )
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(490,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ( ord_le1310584031lle_hf @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(491,plain,
( ( ! [SX0: hF_Mirabelle_hf > $o,SX1: hF_Mirabelle_hf] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX2: hF_Mirabelle_hf] :
( ~ ( SX0 @ SX2 )
| ( ord_le976219883lle_hf @ SX2 @ SX1 ) )
| ( ( order_1640852850lle_hf @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(492,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ SX2 @ SX0 )
| ( ord_le1310584031lle_hf @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[473]) ).
thf(493,plain,
( ( ! [SX0: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ~ ! [SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX1 @ SX2 )
| ( ord_le976219883lle_hf @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) )
| ( order_690706045lle_hf @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(494,plain,
( ( ! [SX0: nat,SX1: hF_Mirabelle_hf > nat,SX2: hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_le976219883lle_hf @ SX2 @ SX3 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_nat @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(495,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[422]) ).
thf(496,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ( SX0 != SX1 )
| ( ord_le976219883lle_hf @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436]) ).
thf(497,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > hF_Mirabelle_hf,SX2: hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_le1310584031lle_hf @ SX2 @ SX3 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SX4 @ SX5 )
| ( ord_le1310584031lle_hf @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le1310584031lle_hf @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(498,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat > hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[424]) ).
thf(499,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > nat,SX3: nat] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_less_eq_nat @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_nat @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[423]) ).
thf(500,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > nat,SX3: nat] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_nat @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440]) ).
thf(501,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SX0 @ SX1 )
| ( ord_le976219883lle_hf @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(502,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX2 )
| ( ord_le976219883lle_hf @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(503,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > hF_Mirabelle_hf,SX2: hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_le976219883lle_hf @ SX2 @ SX3 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[419]) ).
thf(504,plain,
( ( ord_le1310584031lle_hf
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(505,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SX0 @ SX1 )
| ( ord_le976219883lle_hf @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[474]) ).
thf(506,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ( SX1 != SX2 )
| ( ord_le976219883lle_hf @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[431]) ).
thf(507,plain,
( ( ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] : ( SX0 = SX1 ) )
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX1 @ SX0 )
| ~ ( ord_le976219883lle_hf @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[426]) ).
thf(508,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ( ord_le1310584031lle_hf @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[478]) ).
thf(509,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SX0 @ SX1 )
| ( ord_le976219883lle_hf @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[477]) ).
thf(510,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: nat > hF_Mirabelle_hf,SX2: nat,SX3: nat] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_nat @ SX2 @ SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(511,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le1310584031lle_hf @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(512,plain,
( ( ! [SX0: hF_Mirabelle_hf > hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( order_690706045lle_hf @ SX0 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX2 )
| ( ord_le976219883lle_hf @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(513,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le1310584031lle_hf @ SX1 @ SX2 )
| ( ord_le1310584031lle_hf @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(514,plain,
( ( ord_le2017230260lle_hf
= ( ^ [SX0: $o > hF_Mirabelle_hf,SX1: $o > hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ ( SX0 @ $false ) @ ( SX1 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SX0 @ $true ) @ ( SX1 @ $true ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(515,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ~ ( ord_le1310584031lle_hf @ SX0 @ SX1 )
| ( ( ord_le976219883lle_hf @ SX0 @ SX1 )
= ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(516,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le1310584031lle_hf @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le1310584031lle_hf @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(517,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: nat > hF_Mirabelle_hf,SX2: nat,SX3: nat] :
( ~ ( ord_le976219883lle_hf @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_nat @ SX2 @ SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[420]) ).
thf(518,plain,
( ( ! [SX0: nat,SX1: hF_Mirabelle_hf > nat,SX2: hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ~ ( ord_less_eq_nat @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_le976219883lle_hf @ SX2 @ SX3 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_nat @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[421]) ).
thf(519,plain,
( ( ord_le1310584031lle_hf
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ( SX1 != SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[476]) ).
thf(520,plain,
( ( ! [SX0: hF_Mirabelle_hf > $o,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > $o] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX3: hF_Mirabelle_hf] :
( ~ ( SX0 @ SX3 )
| ( ord_le976219883lle_hf @ SX3 @ SX1 ) )
| ~ ! [SX3: hF_Mirabelle_hf] :
( ~ ( SX0 @ SX3 )
| ~ ! [SX4: hF_Mirabelle_hf] :
( ~ ( SX0 @ SX4 )
| ( ord_le976219883lle_hf @ SX4 @ SX3 ) )
| ( SX2 @ SX3 ) )
| ( SX2 @ ( order_1640852850lle_hf @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(521,plain,
( ( ord_le976219883lle_hf
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
! [SX2: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ( hF_Mirabelle_hmem @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[417]) ).
thf(522,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat > hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(523,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > hF_Mirabelle_hf,SX2: hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_le976219883lle_hf @ SX2 @ SX3 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le1310584031lle_hf @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(524,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ( SX0 != SX1 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX2 )
| ( ord_le976219883lle_hf @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432]) ).
thf(525,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) )
| ( ord_le1310584031lle_hf @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(526,plain,
( ( ! [SX0: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ( hF_Mirabelle_hmem @ SX0 @ b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(527,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ( ( ord_le976219883lle_hf @ SX1 @ SX0 )
= ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(528,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[430]) ).
thf(529,plain,
( ( ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] : ( SX0 = SX1 ) )
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[433]) ).
thf(530,plain,
( ( order_690706045lle_hf
= ( ^ [SX0: hF_Mirabelle_hf > hF_Mirabelle_hf] :
! [SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX1 @ SX2 )
| ( ord_le976219883lle_hf @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(531,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[437]) ).
thf(532,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX2 )
| ( ord_le976219883lle_hf @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[429]) ).
thf(533,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX0 )
| ( SX1 = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[425]) ).
thf(534,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX2 )
| ( ord_le1310584031lle_hf @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(535,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(536,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SX4 @ SX5 )
| ( ord_le1310584031lle_hf @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le1310584031lle_hf @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(537,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ SX2 @ SX0 )
| ( ord_le976219883lle_hf @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[427]) ).
thf(538,plain,
! [SV1: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(539,plain,
! [SV2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ SV2 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(540,plain,
( ( ! [SV3: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ SV3 )
= ( ^ [SY214: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV3 @ SY214 )
| ( SV3 = SY214 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[454]) ).
thf(541,plain,
( ( ord_le976219883lle_hf
= ( ^ [X2: hF_Mirabelle_hf,Y3: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ X2 @ Y3 )
| ( X2 = Y3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[454]) ).
thf(542,plain,
( ( ! [SV4: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ SV4 )
= ( ^ [SY215: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV4 @ SY215 )
| ( SV4 = SY215 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[470]) ).
thf(543,plain,
( ( ord_le976219883lle_hf
= ( ^ [A2: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ A2 @ B2 )
| ( A2 = B2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[470]) ).
thf(544,plain,
( ( ! [SV5: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ SV5 )
= ( ^ [SY216: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV5 @ SY216 )
| ( SY216 = SV5 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[475]) ).
thf(545,plain,
( ( ord_le976219883lle_hf
= ( ^ [B2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ B2 @ A2 )
| ( A2 = B2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[475]) ).
thf(546,plain,
( ( ord_le976219883lle_hf @ a @ b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(547,plain,
! [SV6: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ! [SY217: hF_Mirabelle_hf,SY218: hF_Mirabelle_hf] :
( ~ ( order_690706045lle_hf @ SV6 )
| ~ ( ord_le976219883lle_hf @ SY217 @ SY218 )
| ( ord_le976219883lle_hf @ ( SV6 @ SY218 ) @ ( SV6 @ SY217 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(548,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ! [SY219: hF_Mirabelle_hf,SY220: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV7 @ SY219 )
| ~ ( ord_le976219883lle_hf @ SY219 @ SY220 )
| ( ord_le1310584031lle_hf @ SV7 @ SY220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(549,plain,
( ( ! [SV8: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV8 )
= ( ^ [SY221: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV8 @ SY221 )
| ~ ( ( SV8 != SY221 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[482]) ).
thf(550,plain,
( ( ord_le1310584031lle_hf
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[482]) ).
thf(551,plain,
! [SV9: hF_Mirabelle_hf] :
( ( ! [SY222: hF_Mirabelle_hf > hF_Mirabelle_hf,SY223: hF_Mirabelle_hf,SY224: hF_Mirabelle_hf] :
( ( SV9
!= ( SY222 @ SY223 ) )
| ~ ( ord_le976219883lle_hf @ SY223 @ SY224 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY222 @ SX4 ) @ ( SY222 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ SV9 @ ( SY222 @ SY224 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(552,plain,
! [SV10: hF_Mirabelle_hf] :
( ( ! [SY227: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV10 @ SY227 )
| ( ( ~ ( ord_le1310584031lle_hf @ SV10 @ SY227 ) )
= ( SV10 = SY227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(553,plain,
! [SV11: hF_Mirabelle_hf] :
( ( ! [SY228: hF_Mirabelle_hf,SY229: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV11 @ SY228 )
| ~ ( ord_le1310584031lle_hf @ SY228 @ SY229 )
| ( ord_le1310584031lle_hf @ SV11 @ SY229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(554,plain,
( ( ! [SV12: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV12 )
= ( ^ [SY230: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV12 @ SY230 )
| ~ ( ( SV12 != SY230 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[486]) ).
thf(555,plain,
( ( ord_le1310584031lle_hf
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[486]) ).
thf(556,plain,
! [SV13: hF_Mirabelle_hf] :
( ( ! [SY231: hF_Mirabelle_hf,SY232: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV13 @ SY231 )
| ~ ( ord_le1310584031lle_hf @ SY232 @ SV13 )
| ( ord_le1310584031lle_hf @ SY232 @ SY231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(557,plain,
( ( ! [SV14: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV14 )
= ( ^ [SY233: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV14 @ SY233 )
| ~ ~ ( ord_le976219883lle_hf @ SY233 @ SV14 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[488]) ).
thf(558,plain,
( ( ord_le1310584031lle_hf
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ~ ( ord_le976219883lle_hf @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[488]) ).
thf(559,plain,
( ( ! [SV15: hF_Mirabelle_hf] :
( ( ^ [SY234: hF_Mirabelle_hf] : ( SV15 = SY234 ) )
= ( ^ [SY235: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV15 @ SY235 )
| ~ ( ord_le976219883lle_hf @ SY235 @ SV15 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[489]) ).
thf(560,plain,
( ( ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] : ( SX0 = SX1 ) )
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[489]) ).
thf(561,plain,
! [SV16: hF_Mirabelle_hf] :
( ( ! [SY236: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV16 @ SY236 )
| ( ord_le1310584031lle_hf @ SV16 @ SY236 )
| ( SV16 = SY236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(562,plain,
! [SV17: hF_Mirabelle_hf > $o] :
( ( ! [SY237: hF_Mirabelle_hf] :
( ~ ( SV17 @ SY237 )
| ~ ! [SY238: hF_Mirabelle_hf] :
( ~ ( SV17 @ SY238 )
| ( ord_le976219883lle_hf @ SY238 @ SY237 ) )
| ( ( order_1640852850lle_hf @ SV17 )
= SY237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(563,plain,
! [SV18: hF_Mirabelle_hf] :
( ( ! [SY239: hF_Mirabelle_hf,SY240: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV18 @ SY239 )
| ~ ( ord_le976219883lle_hf @ SY240 @ SV18 )
| ( ord_le1310584031lle_hf @ SY240 @ SY239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(564,plain,
! [SV19: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ~ ! [SY241: hF_Mirabelle_hf,SY242: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY241 @ SY242 )
| ( ord_le976219883lle_hf @ ( SV19 @ SY242 ) @ ( SV19 @ SY241 ) ) )
| ( order_690706045lle_hf @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(565,plain,
! [SV20: nat] :
( ( ! [SY243: hF_Mirabelle_hf > nat,SY244: hF_Mirabelle_hf,SY245: hF_Mirabelle_hf] :
( ( SV20
!= ( SY243 @ SY244 ) )
| ~ ( ord_le976219883lle_hf @ SY244 @ SY245 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SY243 @ SX4 ) @ ( SY243 @ SX5 ) ) )
| ( ord_less_eq_nat @ SV20 @ ( SY243 @ SY245 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(566,plain,
! [SV21: hF_Mirabelle_hf] :
( ( ! [SY248: hF_Mirabelle_hf,SY249: hF_Mirabelle_hf > hF_Mirabelle_hf,SY250: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV21 @ SY248 )
| ~ ( ord_le976219883lle_hf @ ( SY249 @ SY248 ) @ SY250 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY249 @ SX4 ) @ ( SY249 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ ( SY249 @ SV21 ) @ SY250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(567,plain,
! [SV22: hF_Mirabelle_hf] :
( ( ! [SY253: hF_Mirabelle_hf] :
( ( SV22 != SY253 )
| ( ord_le976219883lle_hf @ SV22 @ SY253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(568,plain,
! [SV23: hF_Mirabelle_hf] :
( ( ! [SY254: hF_Mirabelle_hf > hF_Mirabelle_hf,SY255: hF_Mirabelle_hf,SY256: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV23 @ ( SY254 @ SY255 ) )
| ~ ( ord_le1310584031lle_hf @ SY255 @ SY256 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SX4 @ SX5 )
| ( ord_le1310584031lle_hf @ ( SY254 @ SX4 ) @ ( SY254 @ SX5 ) ) )
| ( ord_le1310584031lle_hf @ SV23 @ ( SY254 @ SY256 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(569,plain,
! [SV24: nat] :
( ( ! [SY259: nat,SY260: nat > hF_Mirabelle_hf,SY261: hF_Mirabelle_hf] :
( ~ ( ord_less_eq_nat @ SV24 @ SY259 )
| ~ ( ord_le976219883lle_hf @ ( SY260 @ SY259 ) @ SY261 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY260 @ SX4 ) @ ( SY260 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ ( SY260 @ SV24 ) @ SY261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(570,plain,
! [SV25: hF_Mirabelle_hf] :
( ( ! [SY264: hF_Mirabelle_hf,SY265: hF_Mirabelle_hf > nat,SY266: nat] :
( ~ ( ord_le976219883lle_hf @ SV25 @ SY264 )
| ~ ( ord_less_eq_nat @ ( SY265 @ SY264 ) @ SY266 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SY265 @ SX4 ) @ ( SY265 @ SX5 ) ) )
| ( ord_less_eq_nat @ ( SY265 @ SV25 ) @ SY266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(571,plain,
! [SV26: hF_Mirabelle_hf] :
( ( ! [SY269: hF_Mirabelle_hf,SY270: hF_Mirabelle_hf > nat,SY271: nat] :
( ~ ( ord_le976219883lle_hf @ SV26 @ SY269 )
| ( ( SY270 @ SY269 )
!= SY271 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SY270 @ SX4 ) @ ( SY270 @ SX5 ) ) )
| ( ord_less_eq_nat @ ( SY270 @ SV26 ) @ SY271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(572,plain,
! [SV27: hF_Mirabelle_hf] :
( ( ! [SY274: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV27 @ SY274 )
| ( ord_le976219883lle_hf @ SV27 @ SY274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(573,plain,
! [SV28: hF_Mirabelle_hf] :
( ( ! [SY275: hF_Mirabelle_hf,SY276: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV28 @ SY275 )
| ~ ( ord_le976219883lle_hf @ SY275 @ SY276 )
| ( ord_le976219883lle_hf @ SV28 @ SY276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(574,plain,
! [SV29: hF_Mirabelle_hf] :
( ( ! [SY277: hF_Mirabelle_hf > hF_Mirabelle_hf,SY278: hF_Mirabelle_hf,SY279: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV29 @ ( SY277 @ SY278 ) )
| ~ ( ord_le976219883lle_hf @ SY278 @ SY279 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY277 @ SX4 ) @ ( SY277 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ SV29 @ ( SY277 @ SY279 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(575,plain,
( ( ! [SV30: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV30 )
= ( ^ [SY282: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV30 @ SY282 )
| ~ ( ( SV30 != SY282 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[504]) ).
thf(576,plain,
( ( ord_le1310584031lle_hf
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[504]) ).
thf(577,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ! [SY283: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV31 @ SY283 )
| ( ord_le976219883lle_hf @ SV31 @ SY283 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(578,plain,
! [SV32: hF_Mirabelle_hf] :
( ( ! [SY284: hF_Mirabelle_hf,SY285: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV32 @ SY284 )
| ( SY284 != SY285 )
| ( ord_le976219883lle_hf @ SV32 @ SY285 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(579,plain,
( ( ! [SV33: hF_Mirabelle_hf] :
( ( ^ [SY286: hF_Mirabelle_hf] : ( SV33 = SY286 ) )
= ( ^ [SY287: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SY287 @ SV33 )
| ~ ( ord_le976219883lle_hf @ SV33 @ SY287 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[507]) ).
thf(580,plain,
( ( ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] : ( SX0 = SX1 ) )
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX1 @ SX0 )
| ~ ( ord_le976219883lle_hf @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[507]) ).
thf(581,plain,
! [SV34: hF_Mirabelle_hf] :
( ( ! [SY288: hF_Mirabelle_hf] :
( ~ ( ( SV34 != SY288 ) )
| ~ ( ord_le976219883lle_hf @ SV34 @ SY288 )
| ( ord_le1310584031lle_hf @ SV34 @ SY288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(582,plain,
! [SV35: hF_Mirabelle_hf] :
( ( ! [SY289: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV35 @ SY289 )
| ( ord_le976219883lle_hf @ SV35 @ SY289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(583,plain,
! [SV36: hF_Mirabelle_hf] :
( ( ! [SY290: nat > hF_Mirabelle_hf,SY291: nat,SY292: nat] :
( ( SV36
!= ( SY290 @ SY291 ) )
| ~ ( ord_less_eq_nat @ SY291 @ SY292 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY290 @ SX4 ) @ ( SY290 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ SV36 @ ( SY290 @ SY292 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(584,plain,
! [SV37: hF_Mirabelle_hf] :
( ( ! [SY295: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV37 @ SY295 )
| ~ ( ord_le1310584031lle_hf @ SY295 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(585,plain,
! [SV38: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ! [SY296: hF_Mirabelle_hf,SY297: hF_Mirabelle_hf] :
( ~ ( order_690706045lle_hf @ SV38 )
| ~ ( ord_le976219883lle_hf @ SY296 @ SY297 )
| ( ord_le976219883lle_hf @ ( SV38 @ SY297 ) @ ( SV38 @ SY296 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(586,plain,
! [SV39: hF_Mirabelle_hf] :
( ( ! [SY298: hF_Mirabelle_hf,SY299: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV39 @ SY298 )
| ~ ( ord_le1310584031lle_hf @ SY298 @ SY299 )
| ( ord_le1310584031lle_hf @ SV39 @ SY299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(587,plain,
( ( ! [SV40: $o > hF_Mirabelle_hf] :
( ( ord_le2017230260lle_hf @ SV40 )
= ( ^ [SY300: $o > hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ ( SV40 @ $false ) @ ( SY300 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV40 @ $true ) @ ( SY300 @ $true ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[514]) ).
thf(588,plain,
( ( ord_le2017230260lle_hf
= ( ^ [SX0: $o > hF_Mirabelle_hf,SX1: $o > hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ ( SX0 @ $false ) @ ( SX1 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SX0 @ $true ) @ ( SX1 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[514]) ).
thf(589,plain,
! [SV41: hF_Mirabelle_hf] :
( ( ! [SY301: hF_Mirabelle_hf] :
( ~ ~ ( ord_le1310584031lle_hf @ SV41 @ SY301 )
| ( ( ord_le976219883lle_hf @ SV41 @ SY301 )
= ( SV41 = SY301 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(590,plain,
! [SV42: hF_Mirabelle_hf] :
( ( ! [SY302: hF_Mirabelle_hf,SY303: hF_Mirabelle_hf > hF_Mirabelle_hf,SY304: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV42 @ SY302 )
| ~ ( ord_le1310584031lle_hf @ ( SY303 @ SY302 ) @ SY304 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY303 @ SX4 ) @ ( SY303 @ SX5 ) ) )
| ( ord_le1310584031lle_hf @ ( SY303 @ SV42 ) @ SY304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(591,plain,
! [SV43: hF_Mirabelle_hf] :
( ( ! [SY307: nat > hF_Mirabelle_hf,SY308: nat,SY309: nat] :
( ~ ( ord_le976219883lle_hf @ SV43 @ ( SY307 @ SY308 ) )
| ~ ( ord_less_eq_nat @ SY308 @ SY309 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY307 @ SX4 ) @ ( SY307 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ SV43 @ ( SY307 @ SY309 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(592,plain,
! [SV44: nat] :
( ( ! [SY312: hF_Mirabelle_hf > nat,SY313: hF_Mirabelle_hf,SY314: hF_Mirabelle_hf] :
( ~ ( ord_less_eq_nat @ SV44 @ ( SY312 @ SY313 ) )
| ~ ( ord_le976219883lle_hf @ SY313 @ SY314 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SY312 @ SX4 ) @ ( SY312 @ SX5 ) ) )
| ( ord_less_eq_nat @ SV44 @ ( SY312 @ SY314 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(593,plain,
( ( ! [SV45: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV45 )
= ( ^ [SY317: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV45 @ SY317 )
| ~ ( ( SY317 != SV45 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[519]) ).
thf(594,plain,
( ( ord_le1310584031lle_hf
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ( SX1 != SX0 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[519]) ).
thf(595,plain,
! [SV46: hF_Mirabelle_hf > $o] :
( ( ! [SY318: hF_Mirabelle_hf,SY319: hF_Mirabelle_hf > $o] :
( ~ ( SV46 @ SY318 )
| ~ ! [SY320: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY320 )
| ( ord_le976219883lle_hf @ SY320 @ SY318 ) )
| ~ ! [SY321: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY321 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY321 ) )
| ( SY319 @ SY321 ) )
| ( SY319 @ ( order_1640852850lle_hf @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(596,plain,
( ( ! [SV47: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ SV47 )
= ( ^ [SY323: hF_Mirabelle_hf] :
! [SY324: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY324 @ SV47 )
| ( hF_Mirabelle_hmem @ SY324 @ SY323 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[521]) ).
thf(597,plain,
( ( ord_le976219883lle_hf
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
! [SX2: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ( hF_Mirabelle_hmem @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[521]) ).
thf(598,plain,
! [SV48: nat] :
( ( ! [SY325: nat,SY326: nat > hF_Mirabelle_hf,SY327: hF_Mirabelle_hf] :
( ~ ( ord_less_eq_nat @ SV48 @ SY325 )
| ( ( SY326 @ SY325 )
!= SY327 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY326 @ SX4 ) @ ( SY326 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ ( SY326 @ SV48 ) @ SY327 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(599,plain,
! [SV49: hF_Mirabelle_hf] :
( ( ! [SY330: hF_Mirabelle_hf > hF_Mirabelle_hf,SY331: hF_Mirabelle_hf,SY332: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV49 @ ( SY330 @ SY331 ) )
| ~ ( ord_le976219883lle_hf @ SY331 @ SY332 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY330 @ SX4 ) @ ( SY330 @ SX5 ) ) )
| ( ord_le1310584031lle_hf @ SV49 @ ( SY330 @ SY332 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(600,plain,
! [SV50: hF_Mirabelle_hf] :
( ( ! [SY335: hF_Mirabelle_hf,SY336: hF_Mirabelle_hf] :
( ( SV50 != SY335 )
| ~ ( ord_le976219883lle_hf @ SY335 @ SY336 )
| ( ord_le976219883lle_hf @ SV50 @ SY336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(601,plain,
! [SV51: hF_Mirabelle_hf] :
( ( ! [SY337: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV51 @ SY337 )
| ~ ( ( SV51 != SY337 ) )
| ( ord_le1310584031lle_hf @ SV51 @ SY337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(602,plain,
! [SV52: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV52 @ a )
| ( hF_Mirabelle_hmem @ SV52 @ b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(603,plain,
! [SV53: hF_Mirabelle_hf] :
( ( ! [SY338: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV53 @ SY338 )
| ( ( ord_le976219883lle_hf @ SY338 @ SV53 )
= ( SY338 = SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(604,plain,
! [SV54: hF_Mirabelle_hf] :
( ( ! [SY339: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV54 @ SY339 )
| ~ ( ord_le976219883lle_hf @ SY339 @ SV54 )
| ( SV54 = SY339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(605,plain,
( ( ! [SV55: hF_Mirabelle_hf] :
( ( ^ [SY340: hF_Mirabelle_hf] : ( SV55 = SY340 ) )
= ( ^ [SY341: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV55 @ SY341 )
| ~ ( ord_le976219883lle_hf @ SY341 @ SV55 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[529]) ).
thf(606,plain,
( ( ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] : ( SX0 = SX1 ) )
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SX0 @ SX1 )
| ~ ( ord_le976219883lle_hf @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[529]) ).
thf(607,plain,
( ( ! [SV56: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( order_690706045lle_hf @ SV56 )
= ( ! [SY342: hF_Mirabelle_hf,SY343: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY342 @ SY343 )
| ( ord_le976219883lle_hf @ ( SV56 @ SY343 ) @ ( SV56 @ SY342 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[530]) ).
thf(608,plain,
( ( order_690706045lle_hf
= ( ^ [SX0: hF_Mirabelle_hf > hF_Mirabelle_hf] :
! [SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX1 @ SX2 )
| ( ord_le976219883lle_hf @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[530]) ).
thf(609,plain,
! [SV57: hF_Mirabelle_hf] :
( ( ! [SY344: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV57 @ SY344 )
| ~ ( ord_le976219883lle_hf @ SY344 @ SV57 )
| ( SV57 = SY344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(610,plain,
! [SV58: hF_Mirabelle_hf] :
( ( ! [SY345: hF_Mirabelle_hf,SY346: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV58 @ SY345 )
| ~ ( ord_le976219883lle_hf @ SY345 @ SY346 )
| ( ord_le976219883lle_hf @ SV58 @ SY346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(611,plain,
! [SV59: hF_Mirabelle_hf] :
( ( ! [SY347: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV59 @ SY347 )
| ~ ( ord_le976219883lle_hf @ SY347 @ SV59 )
| ( SY347 = SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(612,plain,
! [SV60: hF_Mirabelle_hf] :
( ( ! [SY348: hF_Mirabelle_hf,SY349: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV60 @ SY348 )
| ~ ( ord_le976219883lle_hf @ SY348 @ SY349 )
| ( ord_le1310584031lle_hf @ SV60 @ SY349 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(613,plain,
! [SV61: hF_Mirabelle_hf] :
( ( ! [SY350: hF_Mirabelle_hf,SY351: hF_Mirabelle_hf > hF_Mirabelle_hf,SY352: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV61 @ SY350 )
| ( ( SY351 @ SY350 )
!= SY352 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY351 @ SX4 ) @ ( SY351 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ ( SY351 @ SV61 ) @ SY352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(614,plain,
! [SV62: hF_Mirabelle_hf] :
( ( ! [SY355: hF_Mirabelle_hf,SY356: hF_Mirabelle_hf > hF_Mirabelle_hf,SY357: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV62 @ SY355 )
| ~ ( ord_le976219883lle_hf @ ( SY356 @ SY355 ) @ SY357 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SX4 @ SX5 )
| ( ord_le1310584031lle_hf @ ( SY356 @ SX4 ) @ ( SY356 @ SX5 ) ) )
| ( ord_le1310584031lle_hf @ ( SY356 @ SV62 ) @ SY357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(615,plain,
! [SV63: hF_Mirabelle_hf] :
( ( ! [SY360: hF_Mirabelle_hf,SY361: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV63 @ SY360 )
| ~ ( ord_le976219883lle_hf @ SY361 @ SV63 )
| ( ord_le976219883lle_hf @ SY361 @ SY360 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(616,plain,
! [SV64: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV64 )
= ( ^ [SY362: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV64 @ SY362 )
| ( SV64 = SY362 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(617,plain,
! [SV65: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV65 )
= ( ^ [SY363: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV65 @ SY363 )
| ( SV65 = SY363 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(618,plain,
! [SV66: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV66 )
= ( ^ [SY364: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV66 @ SY364 )
| ( SY364 = SV66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(619,plain,
! [SV67: hF_Mirabelle_hf,SV6: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ! [SY365: hF_Mirabelle_hf] :
( ~ ( order_690706045lle_hf @ SV6 )
| ~ ( ord_le976219883lle_hf @ SV67 @ SY365 )
| ( ord_le976219883lle_hf @ ( SV6 @ SY365 ) @ ( SV6 @ SV67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(620,plain,
! [SV68: hF_Mirabelle_hf,SV7: hF_Mirabelle_hf] :
( ( ! [SY366: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV7 @ SV68 )
| ~ ( ord_le976219883lle_hf @ SV68 @ SY366 )
| ( ord_le1310584031lle_hf @ SV7 @ SY366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(621,plain,
! [SV69: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV69 )
= ( ^ [SY367: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SY367 )
| ~ ( ( SV69 != SY367 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(622,plain,
! [SV70: hF_Mirabelle_hf > hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ! [SY368: hF_Mirabelle_hf,SY369: hF_Mirabelle_hf] :
( ( SV9
!= ( SV70 @ SY368 ) )
| ~ ( ord_le976219883lle_hf @ SY368 @ SY369 )
| ~ ! [SY370: hF_Mirabelle_hf,SY371: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY370 @ SY371 )
| ( ord_le976219883lle_hf @ ( SV70 @ SY370 ) @ ( SV70 @ SY371 ) ) )
| ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SY369 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(623,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV10 @ SV71 )
| ( ( ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 ) )
= ( SV10 = SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(624,plain,
! [SV72: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ! [SY372: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV11 @ SV72 )
| ~ ( ord_le1310584031lle_hf @ SV72 @ SY372 )
| ( ord_le1310584031lle_hf @ SV11 @ SY372 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(625,plain,
! [SV73: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV73 )
= ( ^ [SY373: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SY373 )
| ~ ( ( SV73 != SY373 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(626,plain,
! [SV74: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ! [SY374: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV13 @ SV74 )
| ~ ( ord_le1310584031lle_hf @ SY374 @ SV13 )
| ( ord_le1310584031lle_hf @ SY374 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(627,plain,
! [SV75: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV75 )
= ( ^ [SY375: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SY375 )
| ~ ~ ( ord_le976219883lle_hf @ SY375 @ SV75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(628,plain,
! [SV76: hF_Mirabelle_hf] :
( ( ( ^ [SY376: hF_Mirabelle_hf] : ( SV76 = SY376 ) )
= ( ^ [SY377: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SY377 )
| ~ ( ord_le976219883lle_hf @ SY377 @ SV76 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(629,plain,
! [SV77: hF_Mirabelle_hf,SV16: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV16 @ SV77 )
| ( ord_le1310584031lle_hf @ SV16 @ SV77 )
| ( SV16 = SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(630,plain,
! [SV78: hF_Mirabelle_hf,SV17: hF_Mirabelle_hf > $o] :
( ( ~ ( SV17 @ SV78 )
| ~ ! [SY378: hF_Mirabelle_hf] :
( ~ ( SV17 @ SY378 )
| ( ord_le976219883lle_hf @ SY378 @ SV78 ) )
| ( ( order_1640852850lle_hf @ SV17 )
= SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(631,plain,
! [SV79: hF_Mirabelle_hf,SV18: hF_Mirabelle_hf] :
( ( ! [SY379: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV18 @ SV79 )
| ~ ( ord_le976219883lle_hf @ SY379 @ SV18 )
| ( ord_le1310584031lle_hf @ SY379 @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(632,plain,
! [SV19: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ! [SY241: hF_Mirabelle_hf,SY242: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY241 @ SY242 )
| ( ord_le976219883lle_hf @ ( SV19 @ SY242 ) @ ( SV19 @ SY241 ) ) ) )
= $true )
| ( ( order_690706045lle_hf @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[564]) ).
thf(633,plain,
! [SV80: hF_Mirabelle_hf > nat,SV20: nat] :
( ( ! [SY380: hF_Mirabelle_hf,SY381: hF_Mirabelle_hf] :
( ( SV20
!= ( SV80 @ SY380 ) )
| ~ ( ord_le976219883lle_hf @ SY380 @ SY381 )
| ~ ! [SY382: hF_Mirabelle_hf,SY383: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY382 @ SY383 )
| ( ord_less_eq_nat @ ( SV80 @ SY382 ) @ ( SV80 @ SY383 ) ) )
| ( ord_less_eq_nat @ SV20 @ ( SV80 @ SY381 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(634,plain,
! [SV81: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ! [SY384: hF_Mirabelle_hf > hF_Mirabelle_hf,SY385: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV21 @ SV81 )
| ~ ( ord_le976219883lle_hf @ ( SY384 @ SV81 ) @ SY385 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY384 @ SX4 ) @ ( SY384 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ ( SY384 @ SV21 ) @ SY385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(635,plain,
! [SV82: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf] :
( ( ( SV22 != SV82 )
| ( ord_le976219883lle_hf @ SV22 @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(636,plain,
! [SV83: hF_Mirabelle_hf > hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ! [SY388: hF_Mirabelle_hf,SY389: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SY388 ) )
| ~ ( ord_le1310584031lle_hf @ SY388 @ SY389 )
| ~ ! [SY390: hF_Mirabelle_hf,SY391: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY390 @ SY391 )
| ( ord_le1310584031lle_hf @ ( SV83 @ SY390 ) @ ( SV83 @ SY391 ) ) )
| ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SY389 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(637,plain,
! [SV84: nat,SV24: nat] :
( ( ! [SY392: nat > hF_Mirabelle_hf,SY393: hF_Mirabelle_hf] :
( ~ ( ord_less_eq_nat @ SV24 @ SV84 )
| ~ ( ord_le976219883lle_hf @ ( SY392 @ SV84 ) @ SY393 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY392 @ SX4 ) @ ( SY392 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ ( SY392 @ SV24 ) @ SY393 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(638,plain,
! [SV85: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf] :
( ( ! [SY396: hF_Mirabelle_hf > nat,SY397: nat] :
( ~ ( ord_le976219883lle_hf @ SV25 @ SV85 )
| ~ ( ord_less_eq_nat @ ( SY396 @ SV85 ) @ SY397 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SY396 @ SX4 ) @ ( SY396 @ SX5 ) ) )
| ( ord_less_eq_nat @ ( SY396 @ SV25 ) @ SY397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(639,plain,
! [SV86: hF_Mirabelle_hf,SV26: hF_Mirabelle_hf] :
( ( ! [SY400: hF_Mirabelle_hf > nat,SY401: nat] :
( ~ ( ord_le976219883lle_hf @ SV26 @ SV86 )
| ( ( SY400 @ SV86 )
!= SY401 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_less_eq_nat @ ( SY400 @ SX4 ) @ ( SY400 @ SX5 ) ) )
| ( ord_less_eq_nat @ ( SY400 @ SV26 ) @ SY401 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(640,plain,
! [SV87: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ~ ( ord_le1310584031lle_hf @ SV27 @ SV87 )
| ( ord_le976219883lle_hf @ SV27 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(641,plain,
! [SV88: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ! [SY404: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV28 @ SV88 )
| ~ ( ord_le976219883lle_hf @ SV88 @ SY404 )
| ( ord_le976219883lle_hf @ SV28 @ SY404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(642,plain,
! [SV89: hF_Mirabelle_hf > hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ! [SY405: hF_Mirabelle_hf,SY406: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SY405 ) )
| ~ ( ord_le976219883lle_hf @ SY405 @ SY406 )
| ~ ! [SY407: hF_Mirabelle_hf,SY408: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY407 @ SY408 )
| ( ord_le976219883lle_hf @ ( SV89 @ SY407 ) @ ( SV89 @ SY408 ) ) )
| ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SY406 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(643,plain,
! [SV90: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV90 )
= ( ^ [SY409: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SY409 )
| ~ ( ( SV90 != SY409 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(644,plain,
! [SV91: hF_Mirabelle_hf,SV31: hF_Mirabelle_hf] :
( ( ~ ( ord_le1310584031lle_hf @ SV31 @ SV91 )
| ( ord_le976219883lle_hf @ SV31 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(645,plain,
! [SV92: hF_Mirabelle_hf,SV32: hF_Mirabelle_hf] :
( ( ! [SY410: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV32 @ SV92 )
| ( SV92 != SY410 )
| ( ord_le976219883lle_hf @ SV32 @ SY410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(646,plain,
! [SV93: hF_Mirabelle_hf] :
( ( ( ^ [SY411: hF_Mirabelle_hf] : ( SV93 = SY411 ) )
= ( ^ [SY412: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SY412 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SY412 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(647,plain,
! [SV94: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ~ ( ( SV34 != SV94 ) )
| ~ ( ord_le976219883lle_hf @ SV34 @ SV94 )
| ( ord_le1310584031lle_hf @ SV34 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(648,plain,
! [SV95: hF_Mirabelle_hf,SV35: hF_Mirabelle_hf] :
( ( ~ ( ord_le1310584031lle_hf @ SV35 @ SV95 )
| ( ord_le976219883lle_hf @ SV35 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(649,plain,
! [SV96: nat > hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ! [SY413: nat,SY414: nat] :
( ( SV36
!= ( SV96 @ SY413 ) )
| ~ ( ord_less_eq_nat @ SY413 @ SY414 )
| ~ ! [SY415: nat,SY416: nat] :
( ~ ( ord_less_eq_nat @ SY415 @ SY416 )
| ( ord_le976219883lle_hf @ ( SV96 @ SY415 ) @ ( SV96 @ SY416 ) ) )
| ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SY414 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(650,plain,
! [SV97: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV37 @ SV97 )
| ~ ( ord_le1310584031lle_hf @ SV97 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(651,plain,
! [SV98: hF_Mirabelle_hf,SV38: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ! [SY417: hF_Mirabelle_hf] :
( ~ ( order_690706045lle_hf @ SV38 )
| ~ ( ord_le976219883lle_hf @ SV98 @ SY417 )
| ( ord_le976219883lle_hf @ ( SV38 @ SY417 ) @ ( SV38 @ SV98 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(652,plain,
! [SV99: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf] :
( ( ! [SY418: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV39 @ SV99 )
| ~ ( ord_le1310584031lle_hf @ SV99 @ SY418 )
| ( ord_le1310584031lle_hf @ SV39 @ SY418 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(653,plain,
! [SV100: $o > hF_Mirabelle_hf] :
( ( ( ord_le2017230260lle_hf @ SV100 )
= ( ^ [SY419: $o > hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SY419 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SY419 @ $true ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(654,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ~ ~ ( ord_le1310584031lle_hf @ SV41 @ SV101 )
| ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
= ( SV41 = SV101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(655,plain,
! [SV102: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf] :
( ( ! [SY420: hF_Mirabelle_hf > hF_Mirabelle_hf,SY421: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV42 @ SV102 )
| ~ ( ord_le1310584031lle_hf @ ( SY420 @ SV102 ) @ SY421 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY420 @ SX4 ) @ ( SY420 @ SX5 ) ) )
| ( ord_le1310584031lle_hf @ ( SY420 @ SV42 ) @ SY421 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(656,plain,
! [SV103: nat > hF_Mirabelle_hf,SV43: hF_Mirabelle_hf] :
( ( ! [SY424: nat,SY425: nat] :
( ~ ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SY424 ) )
| ~ ( ord_less_eq_nat @ SY424 @ SY425 )
| ~ ! [SY426: nat,SY427: nat] :
( ~ ( ord_less_eq_nat @ SY426 @ SY427 )
| ( ord_le976219883lle_hf @ ( SV103 @ SY426 ) @ ( SV103 @ SY427 ) ) )
| ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SY425 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(657,plain,
! [SV104: hF_Mirabelle_hf > nat,SV44: nat] :
( ( ! [SY428: hF_Mirabelle_hf,SY429: hF_Mirabelle_hf] :
( ~ ( ord_less_eq_nat @ SV44 @ ( SV104 @ SY428 ) )
| ~ ( ord_le976219883lle_hf @ SY428 @ SY429 )
| ~ ! [SY430: hF_Mirabelle_hf,SY431: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY430 @ SY431 )
| ( ord_less_eq_nat @ ( SV104 @ SY430 ) @ ( SV104 @ SY431 ) ) )
| ( ord_less_eq_nat @ SV44 @ ( SV104 @ SY429 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(658,plain,
! [SV105: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV105 )
= ( ^ [SY432: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SY432 )
| ~ ( ( SY432 != SV105 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(659,plain,
! [SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ! [SY433: hF_Mirabelle_hf > $o] :
( ~ ( SV46 @ SV106 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY434 )
| ( ord_le976219883lle_hf @ SY434 @ SV106 ) )
| ~ ! [SY321: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY321 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY321 ) )
| ( SY433 @ SY321 ) )
| ( SY433 @ ( order_1640852850lle_hf @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(660,plain,
! [SV107: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV107 )
= ( ^ [SY437: hF_Mirabelle_hf] :
! [SY438: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY438 @ SV107 )
| ( hF_Mirabelle_hmem @ SY438 @ SY437 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(661,plain,
! [SV108: nat,SV48: nat] :
( ( ! [SY439: nat > hF_Mirabelle_hf,SY440: hF_Mirabelle_hf] :
( ~ ( ord_less_eq_nat @ SV48 @ SV108 )
| ( ( SY439 @ SV108 )
!= SY440 )
| ~ ! [SX4: nat,SX5: nat] :
( ~ ( ord_less_eq_nat @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY439 @ SX4 ) @ ( SY439 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ ( SY439 @ SV48 ) @ SY440 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(662,plain,
! [SV109: hF_Mirabelle_hf > hF_Mirabelle_hf,SV49: hF_Mirabelle_hf] :
( ( ! [SY443: hF_Mirabelle_hf,SY444: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SY443 ) )
| ~ ( ord_le976219883lle_hf @ SY443 @ SY444 )
| ~ ! [SY445: hF_Mirabelle_hf,SY446: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY445 @ SY446 )
| ( ord_le976219883lle_hf @ ( SV109 @ SY445 ) @ ( SV109 @ SY446 ) ) )
| ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SY444 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(663,plain,
! [SV110: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ! [SY447: hF_Mirabelle_hf] :
( ( SV50 != SV110 )
| ~ ( ord_le976219883lle_hf @ SV110 @ SY447 )
| ( ord_le976219883lle_hf @ SV50 @ SY447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(664,plain,
! [SV111: hF_Mirabelle_hf,SV51: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV51 @ SV111 )
| ~ ( ( SV51 != SV111 ) )
| ( ord_le1310584031lle_hf @ SV51 @ SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(665,plain,
! [SV52: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV52 @ a ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV52 @ b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(666,plain,
! [SV112: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV53 @ SV112 )
| ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
= ( SV112 = SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(667,plain,
! [SV113: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV54 @ SV113 )
| ~ ( ord_le976219883lle_hf @ SV113 @ SV54 )
| ( SV54 = SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(668,plain,
! [SV114: hF_Mirabelle_hf] :
( ( ( ^ [SY448: hF_Mirabelle_hf] : ( SV114 = SY448 ) )
= ( ^ [SY449: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SY449 )
| ~ ( ord_le976219883lle_hf @ SY449 @ SV114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(669,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( order_690706045lle_hf @ SV115 )
= ( ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(670,plain,
! [SV116: hF_Mirabelle_hf,SV57: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV57 @ SV116 )
| ~ ( ord_le976219883lle_hf @ SV116 @ SV57 )
| ( SV57 = SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(671,plain,
! [SV117: hF_Mirabelle_hf,SV58: hF_Mirabelle_hf] :
( ( ! [SY452: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV58 @ SV117 )
| ~ ( ord_le976219883lle_hf @ SV117 @ SY452 )
| ( ord_le976219883lle_hf @ SV58 @ SY452 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(672,plain,
! [SV118: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV59 @ SV118 )
| ~ ( ord_le976219883lle_hf @ SV118 @ SV59 )
| ( SV118 = SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(673,plain,
! [SV119: hF_Mirabelle_hf,SV60: hF_Mirabelle_hf] :
( ( ! [SY453: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV60 @ SV119 )
| ~ ( ord_le976219883lle_hf @ SV119 @ SY453 )
| ( ord_le1310584031lle_hf @ SV60 @ SY453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(674,plain,
! [SV120: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf] :
( ( ! [SY454: hF_Mirabelle_hf > hF_Mirabelle_hf,SY455: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV61 @ SV120 )
| ( ( SY454 @ SV120 )
!= SY455 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SX4 @ SX5 )
| ( ord_le976219883lle_hf @ ( SY454 @ SX4 ) @ ( SY454 @ SX5 ) ) )
| ( ord_le976219883lle_hf @ ( SY454 @ SV61 ) @ SY455 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(675,plain,
! [SV121: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ! [SY458: hF_Mirabelle_hf > hF_Mirabelle_hf,SY459: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV62 @ SV121 )
| ~ ( ord_le976219883lle_hf @ ( SY458 @ SV121 ) @ SY459 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SX4 @ SX5 )
| ( ord_le1310584031lle_hf @ ( SY458 @ SX4 ) @ ( SY458 @ SX5 ) ) )
| ( ord_le1310584031lle_hf @ ( SY458 @ SV62 ) @ SY459 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(676,plain,
! [SV122: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ! [SY462: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV63 @ SV122 )
| ~ ( ord_le976219883lle_hf @ SY462 @ SV63 )
| ( ord_le976219883lle_hf @ SY462 @ SV122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(677,plain,
! [SV64: hF_Mirabelle_hf] :
( ( ! [SV123: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ SV64 @ SV123 )
= ( ( ord_le1310584031lle_hf @ SV64 @ SV123 )
| ( SV64 = SV123 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[616]) ).
thf(678,plain,
! [SV64: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV64 )
= ( ^ [SY362: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV64 @ SY362 )
| ( SV64 = SY362 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[616]) ).
thf(679,plain,
! [SV65: hF_Mirabelle_hf] :
( ( ! [SV124: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ SV65 @ SV124 )
= ( ( ord_le1310584031lle_hf @ SV65 @ SV124 )
| ( SV65 = SV124 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(680,plain,
! [SV65: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV65 )
= ( ^ [SY363: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV65 @ SY363 )
| ( SV65 = SY363 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(681,plain,
! [SV66: hF_Mirabelle_hf] :
( ( ! [SV125: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ SV66 @ SV125 )
= ( ( ord_le1310584031lle_hf @ SV66 @ SV125 )
| ( SV125 = SV66 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[618]) ).
thf(682,plain,
! [SV66: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV66 )
= ( ^ [SY364: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV66 @ SY364 )
| ( SY364 = SV66 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[618]) ).
thf(683,plain,
! [SV126: hF_Mirabelle_hf,SV67: hF_Mirabelle_hf,SV6: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ~ ( order_690706045lle_hf @ SV6 )
| ~ ( ord_le976219883lle_hf @ SV67 @ SV126 )
| ( ord_le976219883lle_hf @ ( SV6 @ SV126 ) @ ( SV6 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(684,plain,
! [SV127: hF_Mirabelle_hf,SV68: hF_Mirabelle_hf,SV7: hF_Mirabelle_hf] :
( ( ~ ( ord_le1310584031lle_hf @ SV7 @ SV68 )
| ~ ( ord_le976219883lle_hf @ SV68 @ SV127 )
| ( ord_le1310584031lle_hf @ SV7 @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(685,plain,
! [SV69: hF_Mirabelle_hf] :
( ( ! [SV128: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV69 @ SV128 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV128 )
| ~ ( ( SV69 != SV128 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(686,plain,
! [SV69: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV69 )
= ( ^ [SY367: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SY367 )
| ~ ( ( SV69 != SY367 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(687,plain,
! [SV129: hF_Mirabelle_hf,SV70: hF_Mirabelle_hf > hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ! [SY463: hF_Mirabelle_hf] :
( ( SV9
!= ( SV70 @ SV129 ) )
| ~ ( ord_le976219883lle_hf @ SV129 @ SY463 )
| ~ ! [SY370: hF_Mirabelle_hf,SY371: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY370 @ SY371 )
| ( ord_le976219883lle_hf @ ( SV70 @ SY370 ) @ ( SV70 @ SY371 ) ) )
| ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SY463 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(688,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV10 @ SV71 ) )
= $true )
| ( ( ( ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 ) )
= ( SV10 = SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(689,plain,
! [SV130: hF_Mirabelle_hf,SV72: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV11 @ SV72 )
| ~ ( ord_le1310584031lle_hf @ SV72 @ SV130 )
| ( ord_le1310584031lle_hf @ SV11 @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(690,plain,
! [SV73: hF_Mirabelle_hf] :
( ( ! [SV131: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV73 @ SV131 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV131 )
| ~ ( ( SV73 != SV131 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[625]) ).
thf(691,plain,
! [SV73: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV73 )
= ( ^ [SY373: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SY373 )
| ~ ( ( SV73 != SY373 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[625]) ).
thf(692,plain,
! [SV132: hF_Mirabelle_hf,SV74: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV13 @ SV74 )
| ~ ( ord_le1310584031lle_hf @ SV132 @ SV13 )
| ( ord_le1310584031lle_hf @ SV132 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(693,plain,
! [SV75: hF_Mirabelle_hf] :
( ( ! [SV133: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV75 @ SV133 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV133 )
| ~ ~ ( ord_le976219883lle_hf @ SV133 @ SV75 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[627]) ).
thf(694,plain,
! [SV75: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV75 )
= ( ^ [SY375: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SY375 )
| ~ ~ ( ord_le976219883lle_hf @ SY375 @ SV75 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[627]) ).
thf(695,plain,
! [SV76: hF_Mirabelle_hf] :
( ( ! [SV134: hF_Mirabelle_hf] :
( ( SV76 = SV134 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV134 )
| ~ ( ord_le976219883lle_hf @ SV134 @ SV76 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[628]) ).
thf(696,plain,
! [SV76: hF_Mirabelle_hf] :
( ( ( ^ [SY376: hF_Mirabelle_hf] : ( SV76 = SY376 ) )
= ( ^ [SY377: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SY377 )
| ~ ( ord_le976219883lle_hf @ SY377 @ SV76 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[628]) ).
thf(697,plain,
! [SV77: hF_Mirabelle_hf,SV16: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV16 @ SV77 ) )
= $true )
| ( ( ( ord_le1310584031lle_hf @ SV16 @ SV77 )
| ( SV16 = SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(698,plain,
! [SV78: hF_Mirabelle_hf,SV17: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV17 @ SV78 ) )
= $true )
| ( ( ~ ! [SY378: hF_Mirabelle_hf] :
( ~ ( SV17 @ SY378 )
| ( ord_le976219883lle_hf @ SY378 @ SV78 ) )
| ( ( order_1640852850lle_hf @ SV17 )
= SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(699,plain,
! [SV135: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf,SV18: hF_Mirabelle_hf] :
( ( ~ ( ord_le1310584031lle_hf @ SV18 @ SV79 )
| ~ ( ord_le976219883lle_hf @ SV135 @ SV18 )
| ( ord_le1310584031lle_hf @ SV135 @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(700,plain,
! [SV19: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY241: hF_Mirabelle_hf,SY242: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY241 @ SY242 )
| ( ord_le976219883lle_hf @ ( SV19 @ SY242 ) @ ( SV19 @ SY241 ) ) ) )
= $false )
| ( ( order_690706045lle_hf @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(701,plain,
! [SV136: hF_Mirabelle_hf,SV80: hF_Mirabelle_hf > nat,SV20: nat] :
( ( ! [SY466: hF_Mirabelle_hf] :
( ( SV20
!= ( SV80 @ SV136 ) )
| ~ ( ord_le976219883lle_hf @ SV136 @ SY466 )
| ~ ! [SY382: hF_Mirabelle_hf,SY383: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY382 @ SY383 )
| ( ord_less_eq_nat @ ( SV80 @ SY382 ) @ ( SV80 @ SY383 ) ) )
| ( ord_less_eq_nat @ SV20 @ ( SV80 @ SY466 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(702,plain,
! [SV137: hF_Mirabelle_hf > hF_Mirabelle_hf,SV81: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ! [SY469: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV21 @ SV81 )
| ~ ( ord_le976219883lle_hf @ ( SV137 @ SV81 ) @ SY469 )
| ~ ! [SY470: hF_Mirabelle_hf,SY471: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY470 @ SY471 )
| ( ord_le976219883lle_hf @ ( SV137 @ SY470 ) @ ( SV137 @ SY471 ) ) )
| ( ord_le976219883lle_hf @ ( SV137 @ SV21 ) @ SY469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(703,plain,
! [SV82: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf] :
( ( ( SV22 != SV82 )
= $true )
| ( ( ord_le976219883lle_hf @ SV22 @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(704,plain,
! [SV138: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf > hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ! [SY472: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SV138 ) )
| ~ ( ord_le1310584031lle_hf @ SV138 @ SY472 )
| ~ ! [SY390: hF_Mirabelle_hf,SY391: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY390 @ SY391 )
| ( ord_le1310584031lle_hf @ ( SV83 @ SY390 ) @ ( SV83 @ SY391 ) ) )
| ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SY472 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(705,plain,
! [SV139: nat > hF_Mirabelle_hf,SV84: nat,SV24: nat] :
( ( ! [SY475: hF_Mirabelle_hf] :
( ~ ( ord_less_eq_nat @ SV24 @ SV84 )
| ~ ( ord_le976219883lle_hf @ ( SV139 @ SV84 ) @ SY475 )
| ~ ! [SY476: nat,SY477: nat] :
( ~ ( ord_less_eq_nat @ SY476 @ SY477 )
| ( ord_le976219883lle_hf @ ( SV139 @ SY476 ) @ ( SV139 @ SY477 ) ) )
| ( ord_le976219883lle_hf @ ( SV139 @ SV24 ) @ SY475 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(706,plain,
! [SV140: hF_Mirabelle_hf > nat,SV85: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf] :
( ( ! [SY478: nat] :
( ~ ( ord_le976219883lle_hf @ SV25 @ SV85 )
| ~ ( ord_less_eq_nat @ ( SV140 @ SV85 ) @ SY478 )
| ~ ! [SY479: hF_Mirabelle_hf,SY480: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY479 @ SY480 )
| ( ord_less_eq_nat @ ( SV140 @ SY479 ) @ ( SV140 @ SY480 ) ) )
| ( ord_less_eq_nat @ ( SV140 @ SV25 ) @ SY478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(707,plain,
! [SV141: hF_Mirabelle_hf > nat,SV86: hF_Mirabelle_hf,SV26: hF_Mirabelle_hf] :
( ( ! [SY481: nat] :
( ~ ( ord_le976219883lle_hf @ SV26 @ SV86 )
| ( ( SV141 @ SV86 )
!= SY481 )
| ~ ! [SY482: hF_Mirabelle_hf,SY483: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY482 @ SY483 )
| ( ord_less_eq_nat @ ( SV141 @ SY482 ) @ ( SV141 @ SY483 ) ) )
| ( ord_less_eq_nat @ ( SV141 @ SV26 ) @ SY481 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(708,plain,
! [SV87: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV27 @ SV87 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV27 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(709,plain,
! [SV142: hF_Mirabelle_hf,SV88: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV28 @ SV88 )
| ~ ( ord_le976219883lle_hf @ SV88 @ SV142 )
| ( ord_le976219883lle_hf @ SV28 @ SV142 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(710,plain,
! [SV143: hF_Mirabelle_hf,SV89: hF_Mirabelle_hf > hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ! [SY484: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV143 ) )
| ~ ( ord_le976219883lle_hf @ SV143 @ SY484 )
| ~ ! [SY407: hF_Mirabelle_hf,SY408: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY407 @ SY408 )
| ( ord_le976219883lle_hf @ ( SV89 @ SY407 ) @ ( SV89 @ SY408 ) ) )
| ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SY484 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(711,plain,
! [SV90: hF_Mirabelle_hf] :
( ( ! [SV144: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV90 @ SV144 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV144 )
| ~ ( ( SV90 != SV144 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[643]) ).
thf(712,plain,
! [SV90: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV90 )
= ( ^ [SY409: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SY409 )
| ~ ( ( SV90 != SY409 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[643]) ).
thf(713,plain,
! [SV91: hF_Mirabelle_hf,SV31: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV31 @ SV91 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV31 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[644]) ).
thf(714,plain,
! [SV145: hF_Mirabelle_hf,SV92: hF_Mirabelle_hf,SV32: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV32 @ SV92 )
| ( SV92 != SV145 )
| ( ord_le976219883lle_hf @ SV32 @ SV145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(715,plain,
! [SV93: hF_Mirabelle_hf] :
( ( ! [SV146: hF_Mirabelle_hf] :
( ( SV93 = SV146 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV146 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV146 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[646]) ).
thf(716,plain,
! [SV93: hF_Mirabelle_hf] :
( ( ( ^ [SY411: hF_Mirabelle_hf] : ( SV93 = SY411 ) )
= ( ^ [SY412: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SY412 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SY412 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[646]) ).
thf(717,plain,
! [SV94: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV34 != SV94 ) ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV34 @ SV94 )
| ( ord_le1310584031lle_hf @ SV34 @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(718,plain,
! [SV95: hF_Mirabelle_hf,SV35: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV35 @ SV95 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV35 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(719,plain,
! [SV147: nat,SV96: nat > hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ! [SY487: nat] :
( ( SV36
!= ( SV96 @ SV147 ) )
| ~ ( ord_less_eq_nat @ SV147 @ SY487 )
| ~ ! [SY415: nat,SY416: nat] :
( ~ ( ord_less_eq_nat @ SY415 @ SY416 )
| ( ord_le976219883lle_hf @ ( SV96 @ SY415 ) @ ( SV96 @ SY416 ) ) )
| ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SY487 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(720,plain,
! [SV97: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV37 @ SV97 ) )
= $true )
| ( ( ~ ( ord_le1310584031lle_hf @ SV97 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(721,plain,
! [SV148: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV38: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ~ ( order_690706045lle_hf @ SV38 )
| ~ ( ord_le976219883lle_hf @ SV98 @ SV148 )
| ( ord_le976219883lle_hf @ ( SV38 @ SV148 ) @ ( SV38 @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(722,plain,
! [SV149: hF_Mirabelle_hf,SV99: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV39 @ SV99 )
| ~ ( ord_le1310584031lle_hf @ SV99 @ SV149 )
| ( ord_le1310584031lle_hf @ SV39 @ SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(723,plain,
! [SV100: $o > hF_Mirabelle_hf] :
( ( ! [SV150: $o > hF_Mirabelle_hf] :
( ( ord_le2017230260lle_hf @ SV100 @ SV150 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV150 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV150 @ $true ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[653]) ).
thf(724,plain,
! [SV100: $o > hF_Mirabelle_hf] :
( ( ( ord_le2017230260lle_hf @ SV100 )
= ( ^ [SY419: $o > hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SY419 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SY419 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[653]) ).
thf(725,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ord_le1310584031lle_hf @ SV41 @ SV101 ) )
= $true )
| ( ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
= ( SV41 = SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(726,plain,
! [SV151: hF_Mirabelle_hf > hF_Mirabelle_hf,SV102: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf] :
( ( ! [SY490: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV42 @ SV102 )
| ~ ( ord_le1310584031lle_hf @ ( SV151 @ SV102 ) @ SY490 )
| ~ ! [SY491: hF_Mirabelle_hf,SY492: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY491 @ SY492 )
| ( ord_le976219883lle_hf @ ( SV151 @ SY491 ) @ ( SV151 @ SY492 ) ) )
| ( ord_le1310584031lle_hf @ ( SV151 @ SV42 ) @ SY490 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(727,plain,
! [SV152: nat,SV103: nat > hF_Mirabelle_hf,SV43: hF_Mirabelle_hf] :
( ( ! [SY493: nat] :
( ~ ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV152 ) )
| ~ ( ord_less_eq_nat @ SV152 @ SY493 )
| ~ ! [SY426: nat,SY427: nat] :
( ~ ( ord_less_eq_nat @ SY426 @ SY427 )
| ( ord_le976219883lle_hf @ ( SV103 @ SY426 ) @ ( SV103 @ SY427 ) ) )
| ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SY493 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(728,plain,
! [SV153: hF_Mirabelle_hf,SV104: hF_Mirabelle_hf > nat,SV44: nat] :
( ( ! [SY496: hF_Mirabelle_hf] :
( ~ ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV153 ) )
| ~ ( ord_le976219883lle_hf @ SV153 @ SY496 )
| ~ ! [SY430: hF_Mirabelle_hf,SY431: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY430 @ SY431 )
| ( ord_less_eq_nat @ ( SV104 @ SY430 ) @ ( SV104 @ SY431 ) ) )
| ( ord_less_eq_nat @ SV44 @ ( SV104 @ SY496 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(729,plain,
! [SV105: hF_Mirabelle_hf] :
( ( ! [SV154: hF_Mirabelle_hf] :
( ( ord_le1310584031lle_hf @ SV105 @ SV154 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV154 )
| ~ ( ( SV154 != SV105 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[658]) ).
thf(730,plain,
! [SV105: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV105 )
= ( ^ [SY432: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SY432 )
| ~ ( ( SY432 != SV105 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[658]) ).
thf(731,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ~ ( SV46 @ SV106 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY434 )
| ( ord_le976219883lle_hf @ SY434 @ SV106 ) )
| ~ ! [SY500: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY500 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY500 ) )
| ( SV155 @ SY500 ) )
| ( SV155 @ ( order_1640852850lle_hf @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(732,plain,
! [SV107: hF_Mirabelle_hf] :
( ( ! [SV156: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ SV107 @ SV156 )
= ( ! [SY502: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY502 @ SV107 )
| ( hF_Mirabelle_hmem @ SY502 @ SV156 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[660]) ).
thf(733,plain,
! [SV107: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV107 )
= ( ^ [SY437: hF_Mirabelle_hf] :
! [SY438: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY438 @ SV107 )
| ( hF_Mirabelle_hmem @ SY438 @ SY437 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[660]) ).
thf(734,plain,
! [SV157: nat > hF_Mirabelle_hf,SV108: nat,SV48: nat] :
( ( ! [SY503: hF_Mirabelle_hf] :
( ~ ( ord_less_eq_nat @ SV48 @ SV108 )
| ( ( SV157 @ SV108 )
!= SY503 )
| ~ ! [SY504: nat,SY505: nat] :
( ~ ( ord_less_eq_nat @ SY504 @ SY505 )
| ( ord_le976219883lle_hf @ ( SV157 @ SY504 ) @ ( SV157 @ SY505 ) ) )
| ( ord_le976219883lle_hf @ ( SV157 @ SV48 ) @ SY503 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(735,plain,
! [SV158: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf,SV49: hF_Mirabelle_hf] :
( ( ! [SY506: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV158 ) )
| ~ ( ord_le976219883lle_hf @ SV158 @ SY506 )
| ~ ! [SY445: hF_Mirabelle_hf,SY446: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY445 @ SY446 )
| ( ord_le976219883lle_hf @ ( SV109 @ SY445 ) @ ( SV109 @ SY446 ) ) )
| ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SY506 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(736,plain,
! [SV159: hF_Mirabelle_hf,SV110: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( SV50 != SV110 )
| ~ ( ord_le976219883lle_hf @ SV110 @ SV159 )
| ( ord_le976219883lle_hf @ SV50 @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(737,plain,
! [SV111: hF_Mirabelle_hf,SV51: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV51 @ SV111 ) )
= $true )
| ( ( ~ ( ( SV51 != SV111 ) )
| ( ord_le1310584031lle_hf @ SV51 @ SV111 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[664]) ).
thf(738,plain,
! [SV52: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV52 @ a )
= $false )
| ( ( hF_Mirabelle_hmem @ SV52 @ b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(739,plain,
! [SV112: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV53 @ SV112 ) )
= $true )
| ( ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
= ( SV112 = SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(740,plain,
! [SV113: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV54 @ SV113 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV113 @ SV54 )
| ( SV54 = SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(741,plain,
! [SV114: hF_Mirabelle_hf] :
( ( ! [SV160: hF_Mirabelle_hf] :
( ( SV114 = SV160 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV160 )
| ~ ( ord_le976219883lle_hf @ SV160 @ SV114 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[668]) ).
thf(742,plain,
! [SV114: hF_Mirabelle_hf] :
( ( ( ^ [SY448: hF_Mirabelle_hf] : ( SV114 = SY448 ) )
= ( ^ [SY449: hF_Mirabelle_hf] :
~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SY449 )
| ~ ( ord_le976219883lle_hf @ SY449 @ SV114 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[668]) ).
thf(743,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ~ ( ( order_690706045lle_hf @ SV115 )
| ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) )
| ~ ( ~ ( order_690706045lle_hf @ SV115 )
| ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[669]) ).
thf(744,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( order_690706045lle_hf @ SV115 )
= ( ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[669]) ).
thf(745,plain,
! [SV116: hF_Mirabelle_hf,SV57: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV57 @ SV116 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV116 @ SV57 )
| ( SV57 = SV116 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(746,plain,
! [SV161: hF_Mirabelle_hf,SV117: hF_Mirabelle_hf,SV58: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV58 @ SV117 )
| ~ ( ord_le976219883lle_hf @ SV117 @ SV161 )
| ( ord_le976219883lle_hf @ SV58 @ SV161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(747,plain,
! [SV118: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV59 @ SV118 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV118 @ SV59 )
| ( SV118 = SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(748,plain,
! [SV162: hF_Mirabelle_hf,SV119: hF_Mirabelle_hf,SV60: hF_Mirabelle_hf] :
( ( ~ ( ord_le1310584031lle_hf @ SV60 @ SV119 )
| ~ ( ord_le976219883lle_hf @ SV119 @ SV162 )
| ( ord_le1310584031lle_hf @ SV60 @ SV162 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(749,plain,
! [SV163: hF_Mirabelle_hf > hF_Mirabelle_hf,SV120: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf] :
( ( ! [SY509: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV61 @ SV120 )
| ( ( SV163 @ SV120 )
!= SY509 )
| ~ ! [SY510: hF_Mirabelle_hf,SY511: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY510 @ SY511 )
| ( ord_le976219883lle_hf @ ( SV163 @ SY510 ) @ ( SV163 @ SY511 ) ) )
| ( ord_le976219883lle_hf @ ( SV163 @ SV61 ) @ SY509 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(750,plain,
! [SV164: hF_Mirabelle_hf > hF_Mirabelle_hf,SV121: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ! [SY512: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SV62 @ SV121 )
| ~ ( ord_le976219883lle_hf @ ( SV164 @ SV121 ) @ SY512 )
| ~ ! [SY513: hF_Mirabelle_hf,SY514: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY513 @ SY514 )
| ( ord_le1310584031lle_hf @ ( SV164 @ SY513 ) @ ( SV164 @ SY514 ) ) )
| ( ord_le1310584031lle_hf @ ( SV164 @ SV62 ) @ SY512 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(751,plain,
! [SV165: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV63 @ SV122 )
| ~ ( ord_le976219883lle_hf @ SV165 @ SV63 )
| ( ord_le976219883lle_hf @ SV165 @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(752,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
= ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(753,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
= ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(754,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
= ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(755,plain,
! [SV126: hF_Mirabelle_hf,SV67: hF_Mirabelle_hf,SV6: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( order_690706045lle_hf @ SV6 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV67 @ SV126 )
| ( ord_le976219883lle_hf @ ( SV6 @ SV126 ) @ ( SV6 @ SV67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(756,plain,
! [SV127: hF_Mirabelle_hf,SV68: hF_Mirabelle_hf,SV7: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV7 @ SV68 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV68 @ SV127 )
| ( ord_le1310584031lle_hf @ SV7 @ SV127 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(757,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(758,plain,
! [SV170: hF_Mirabelle_hf,SV129: hF_Mirabelle_hf,SV70: hF_Mirabelle_hf > hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( SV9
!= ( SV70 @ SV129 ) )
| ~ ( ord_le976219883lle_hf @ SV129 @ SV170 )
| ~ ! [SY370: hF_Mirabelle_hf,SY371: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY370 @ SY371 )
| ( ord_le976219883lle_hf @ ( SV70 @ SY370 ) @ ( SV70 @ SY371 ) ) )
| ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SV170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(759,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false )
| ( ( ( ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 ) )
= ( SV10 = SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(760,plain,
! [SV130: hF_Mirabelle_hf,SV72: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV11 @ SV72 ) )
= $true )
| ( ( ~ ( ord_le1310584031lle_hf @ SV72 @ SV130 )
| ( ord_le1310584031lle_hf @ SV11 @ SV130 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(761,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(762,plain,
! [SV132: hF_Mirabelle_hf,SV74: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV13 @ SV74 ) )
= $true )
| ( ( ~ ( ord_le1310584031lle_hf @ SV132 @ SV13 )
| ( ord_le1310584031lle_hf @ SV132 @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[692]) ).
thf(763,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(764,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( SV76 = SV173 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(765,plain,
! [SV77: hF_Mirabelle_hf,SV16: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV16 @ SV77 )
= $false )
| ( ( ( ord_le1310584031lle_hf @ SV16 @ SV77 )
| ( SV16 = SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(766,plain,
! [SV78: hF_Mirabelle_hf,SV17: hF_Mirabelle_hf > $o] :
( ( ( SV17 @ SV78 )
= $false )
| ( ( ~ ! [SY378: hF_Mirabelle_hf] :
( ~ ( SV17 @ SY378 )
| ( ord_le976219883lle_hf @ SY378 @ SV78 ) )
| ( ( order_1640852850lle_hf @ SV17 )
= SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(767,plain,
! [SV135: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf,SV18: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV18 @ SV79 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV135 @ SV18 )
| ( ord_le1310584031lle_hf @ SV135 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(768,plain,
! [SV19: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY517: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ ( sK1_SY241 @ SV19 ) @ SY517 )
| ( ord_le976219883lle_hf @ ( SV19 @ SY517 ) @ ( SV19 @ ( sK1_SY241 @ SV19 ) ) ) ) )
= $false )
| ( ( order_690706045lle_hf @ SV19 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[700]) ).
thf(769,plain,
! [SV174: hF_Mirabelle_hf,SV136: hF_Mirabelle_hf,SV80: hF_Mirabelle_hf > nat,SV20: nat] :
( ( ( SV20
!= ( SV80 @ SV136 ) )
| ~ ( ord_le976219883lle_hf @ SV136 @ SV174 )
| ~ ! [SY382: hF_Mirabelle_hf,SY383: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY382 @ SY383 )
| ( ord_less_eq_nat @ ( SV80 @ SY382 ) @ ( SV80 @ SY383 ) ) )
| ( ord_less_eq_nat @ SV20 @ ( SV80 @ SV174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(770,plain,
! [SV175: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf,SV81: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV21 @ SV81 )
| ~ ( ord_le976219883lle_hf @ ( SV137 @ SV81 ) @ SV175 )
| ~ ! [SY470: hF_Mirabelle_hf,SY471: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY470 @ SY471 )
| ( ord_le976219883lle_hf @ ( SV137 @ SY470 ) @ ( SV137 @ SY471 ) ) )
| ( ord_le976219883lle_hf @ ( SV137 @ SV21 ) @ SV175 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(771,plain,
! [SV82: hF_Mirabelle_hf,SV22: hF_Mirabelle_hf] :
( ( ( SV22 = SV82 )
= $false )
| ( ( ord_le976219883lle_hf @ SV22 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(772,plain,
! [SV176: hF_Mirabelle_hf,SV138: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf > hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SV138 ) )
| ~ ( ord_le1310584031lle_hf @ SV138 @ SV176 )
| ~ ! [SY390: hF_Mirabelle_hf,SY391: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY390 @ SY391 )
| ( ord_le1310584031lle_hf @ ( SV83 @ SY390 ) @ ( SV83 @ SY391 ) ) )
| ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SV176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(773,plain,
! [SV177: hF_Mirabelle_hf,SV139: nat > hF_Mirabelle_hf,SV84: nat,SV24: nat] :
( ( ~ ( ord_less_eq_nat @ SV24 @ SV84 )
| ~ ( ord_le976219883lle_hf @ ( SV139 @ SV84 ) @ SV177 )
| ~ ! [SY476: nat,SY477: nat] :
( ~ ( ord_less_eq_nat @ SY476 @ SY477 )
| ( ord_le976219883lle_hf @ ( SV139 @ SY476 ) @ ( SV139 @ SY477 ) ) )
| ( ord_le976219883lle_hf @ ( SV139 @ SV24 ) @ SV177 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(774,plain,
! [SV178: nat,SV140: hF_Mirabelle_hf > nat,SV85: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV25 @ SV85 )
| ~ ( ord_less_eq_nat @ ( SV140 @ SV85 ) @ SV178 )
| ~ ! [SY479: hF_Mirabelle_hf,SY480: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY479 @ SY480 )
| ( ord_less_eq_nat @ ( SV140 @ SY479 ) @ ( SV140 @ SY480 ) ) )
| ( ord_less_eq_nat @ ( SV140 @ SV25 ) @ SV178 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(775,plain,
! [SV179: nat,SV141: hF_Mirabelle_hf > nat,SV86: hF_Mirabelle_hf,SV26: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV26 @ SV86 )
| ( ( SV141 @ SV86 )
!= SV179 )
| ~ ! [SY482: hF_Mirabelle_hf,SY483: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY482 @ SY483 )
| ( ord_less_eq_nat @ ( SV141 @ SY482 ) @ ( SV141 @ SY483 ) ) )
| ( ord_less_eq_nat @ ( SV141 @ SV26 ) @ SV179 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(776,plain,
! [SV87: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV27 @ SV87 )
= $false )
| ( ( ord_le976219883lle_hf @ SV27 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(777,plain,
! [SV142: hF_Mirabelle_hf,SV88: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV28 @ SV88 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV88 @ SV142 )
| ( ord_le976219883lle_hf @ SV28 @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(778,plain,
! [SV180: hF_Mirabelle_hf,SV143: hF_Mirabelle_hf,SV89: hF_Mirabelle_hf > hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV143 ) )
| ~ ( ord_le976219883lle_hf @ SV143 @ SV180 )
| ~ ! [SY407: hF_Mirabelle_hf,SY408: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY407 @ SY408 )
| ( ord_le976219883lle_hf @ ( SV89 @ SY407 ) @ ( SV89 @ SY408 ) ) )
| ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(779,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(780,plain,
! [SV91: hF_Mirabelle_hf,SV31: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV31 @ SV91 )
= $false )
| ( ( ord_le976219883lle_hf @ SV31 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(781,plain,
! [SV145: hF_Mirabelle_hf,SV92: hF_Mirabelle_hf,SV32: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV32 @ SV92 ) )
= $true )
| ( ( ( SV92 != SV145 )
| ( ord_le976219883lle_hf @ SV32 @ SV145 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(782,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( SV93 = SV182 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(783,plain,
! [SV94: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ( SV34 != SV94 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV34 @ SV94 )
| ( ord_le1310584031lle_hf @ SV34 @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(784,plain,
! [SV95: hF_Mirabelle_hf,SV35: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV35 @ SV95 )
= $false )
| ( ( ord_le976219883lle_hf @ SV35 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(785,plain,
! [SV183: nat,SV147: nat,SV96: nat > hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ( SV36
!= ( SV96 @ SV147 ) )
| ~ ( ord_less_eq_nat @ SV147 @ SV183 )
| ~ ! [SY415: nat,SY416: nat] :
( ~ ( ord_less_eq_nat @ SY415 @ SY416 )
| ( ord_le976219883lle_hf @ ( SV96 @ SY415 ) @ ( SV96 @ SY416 ) ) )
| ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SV183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(786,plain,
! [SV97: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV37 @ SV97 )
= $false )
| ( ( ~ ( ord_le1310584031lle_hf @ SV97 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(787,plain,
! [SV148: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV38: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( order_690706045lle_hf @ SV38 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV98 @ SV148 )
| ( ord_le976219883lle_hf @ ( SV38 @ SV148 ) @ ( SV38 @ SV98 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(788,plain,
! [SV149: hF_Mirabelle_hf,SV99: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV39 @ SV99 ) )
= $true )
| ( ( ~ ( ord_le1310584031lle_hf @ SV99 @ SV149 )
| ( ord_le1310584031lle_hf @ SV39 @ SV149 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[722]) ).
thf(789,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(790,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV41 @ SV101 ) )
= $false )
| ( ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
= ( SV41 = SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(791,plain,
! [SV185: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf > hF_Mirabelle_hf,SV102: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV42 @ SV102 )
| ~ ( ord_le1310584031lle_hf @ ( SV151 @ SV102 ) @ SV185 )
| ~ ! [SY491: hF_Mirabelle_hf,SY492: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY491 @ SY492 )
| ( ord_le976219883lle_hf @ ( SV151 @ SY491 ) @ ( SV151 @ SY492 ) ) )
| ( ord_le1310584031lle_hf @ ( SV151 @ SV42 ) @ SV185 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(792,plain,
! [SV186: nat,SV152: nat,SV103: nat > hF_Mirabelle_hf,SV43: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV152 ) )
| ~ ( ord_less_eq_nat @ SV152 @ SV186 )
| ~ ! [SY426: nat,SY427: nat] :
( ~ ( ord_less_eq_nat @ SY426 @ SY427 )
| ( ord_le976219883lle_hf @ ( SV103 @ SY426 ) @ ( SV103 @ SY427 ) ) )
| ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(793,plain,
! [SV187: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf,SV104: hF_Mirabelle_hf > nat,SV44: nat] :
( ( ~ ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV153 ) )
| ~ ( ord_le976219883lle_hf @ SV153 @ SV187 )
| ~ ! [SY430: hF_Mirabelle_hf,SY431: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY430 @ SY431 )
| ( ord_less_eq_nat @ ( SV104 @ SY430 ) @ ( SV104 @ SY431 ) ) )
| ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(794,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(795,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV46 @ SV106 ) )
= $true )
| ( ( ~ ! [SY434: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY434 )
| ( ord_le976219883lle_hf @ SY434 @ SV106 ) )
| ~ ! [SY500: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY500 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY500 ) )
| ( SV155 @ SY500 ) )
| ( SV155 @ ( order_1640852850lle_hf @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(796,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= ( ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(797,plain,
! [SV190: hF_Mirabelle_hf,SV157: nat > hF_Mirabelle_hf,SV108: nat,SV48: nat] :
( ( ~ ( ord_less_eq_nat @ SV48 @ SV108 )
| ( ( SV157 @ SV108 )
!= SV190 )
| ~ ! [SY504: nat,SY505: nat] :
( ~ ( ord_less_eq_nat @ SY504 @ SY505 )
| ( ord_le976219883lle_hf @ ( SV157 @ SY504 ) @ ( SV157 @ SY505 ) ) )
| ( ord_le976219883lle_hf @ ( SV157 @ SV48 ) @ SV190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(798,plain,
! [SV191: hF_Mirabelle_hf,SV158: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf,SV49: hF_Mirabelle_hf] :
( ( ~ ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV158 ) )
| ~ ( ord_le976219883lle_hf @ SV158 @ SV191 )
| ~ ! [SY445: hF_Mirabelle_hf,SY446: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY445 @ SY446 )
| ( ord_le976219883lle_hf @ ( SV109 @ SY445 ) @ ( SV109 @ SY446 ) ) )
| ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(799,plain,
! [SV159: hF_Mirabelle_hf,SV110: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( SV50 != SV110 )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV110 @ SV159 )
| ( ord_le976219883lle_hf @ SV50 @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(800,plain,
! [SV111: hF_Mirabelle_hf,SV51: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV51 @ SV111 )
= $false )
| ( ( ~ ( ( SV51 != SV111 ) )
| ( ord_le1310584031lle_hf @ SV51 @ SV111 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(801,plain,
! [SV112: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false )
| ( ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
= ( SV112 = SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(802,plain,
! [SV113: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV54 @ SV113 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV113 @ SV54 )
| ( SV54 = SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(803,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( SV114 = SV192 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(804,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( ( order_690706045lle_hf @ SV115 )
| ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( order_690706045lle_hf @ SV115 )
| ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(805,plain,
! [SV116: hF_Mirabelle_hf,SV57: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV57 @ SV116 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV116 @ SV57 )
| ( SV57 = SV116 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(806,plain,
! [SV161: hF_Mirabelle_hf,SV117: hF_Mirabelle_hf,SV58: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV58 @ SV117 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV117 @ SV161 )
| ( ord_le976219883lle_hf @ SV58 @ SV161 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(807,plain,
! [SV118: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV59 @ SV118 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV118 @ SV59 )
| ( SV118 = SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(808,plain,
! [SV162: hF_Mirabelle_hf,SV119: hF_Mirabelle_hf,SV60: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV60 @ SV119 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV119 @ SV162 )
| ( ord_le1310584031lle_hf @ SV60 @ SV162 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(809,plain,
! [SV193: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf > hF_Mirabelle_hf,SV120: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf] :
( ( ~ ( ord_le976219883lle_hf @ SV61 @ SV120 )
| ( ( SV163 @ SV120 )
!= SV193 )
| ~ ! [SY510: hF_Mirabelle_hf,SY511: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY510 @ SY511 )
| ( ord_le976219883lle_hf @ ( SV163 @ SY510 ) @ ( SV163 @ SY511 ) ) )
| ( ord_le976219883lle_hf @ ( SV163 @ SV61 ) @ SV193 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(810,plain,
! [SV194: hF_Mirabelle_hf,SV164: hF_Mirabelle_hf > hF_Mirabelle_hf,SV121: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ~ ( ord_le1310584031lle_hf @ SV62 @ SV121 )
| ~ ( ord_le976219883lle_hf @ ( SV164 @ SV121 ) @ SV194 )
| ~ ! [SY513: hF_Mirabelle_hf,SY514: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY513 @ SY514 )
| ( ord_le1310584031lle_hf @ ( SV164 @ SY513 ) @ ( SV164 @ SY514 ) ) )
| ( ord_le1310584031lle_hf @ ( SV164 @ SV62 ) @ SV194 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(811,plain,
! [SV165: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV63 @ SV122 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV165 @ SV63 )
| ( ord_le976219883lle_hf @ SV165 @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[751]) ).
thf(812,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ~ ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
| ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) )
| ~ ( ~ ( ord_le976219883lle_hf @ SV64 @ SV166 )
| ~ ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[752]) ).
thf(813,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
= ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[752]) ).
thf(814,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ~ ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
| ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) )
| ~ ( ~ ( ord_le976219883lle_hf @ SV65 @ SV167 )
| ~ ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[753]) ).
thf(815,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
= ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[753]) ).
thf(816,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ~ ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
| ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) )
| ~ ( ~ ( ord_le976219883lle_hf @ SV66 @ SV168 )
| ~ ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[754]) ).
thf(817,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
= ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[754]) ).
thf(818,plain,
! [SV126: hF_Mirabelle_hf,SV67: hF_Mirabelle_hf,SV6: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( order_690706045lle_hf @ SV6 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV67 @ SV126 )
| ( ord_le976219883lle_hf @ ( SV6 @ SV126 ) @ ( SV6 @ SV67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(819,plain,
! [SV127: hF_Mirabelle_hf,SV68: hF_Mirabelle_hf,SV7: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV7 @ SV68 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV68 @ SV127 )
| ( ord_le1310584031lle_hf @ SV7 @ SV127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(820,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ~ ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) )
| ~ ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[757]) ).
thf(821,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[757]) ).
thf(822,plain,
! [SV170: hF_Mirabelle_hf,SV129: hF_Mirabelle_hf,SV70: hF_Mirabelle_hf > hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( SV9
!= ( SV70 @ SV129 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV129 @ SV170 )
| ~ ! [SY370: hF_Mirabelle_hf,SY371: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY370 @ SY371 )
| ( ord_le976219883lle_hf @ ( SV70 @ SY370 ) @ ( SV70 @ SY371 ) ) )
| ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SV170 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(823,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 )
| ( SV10 = SV71 ) )
| ~ ( ~ ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 )
| ( SV10 != SV71 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[759]) ).
thf(824,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ( ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 ) )
= ( SV10 = SV71 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[759]) ).
thf(825,plain,
! [SV130: hF_Mirabelle_hf,SV72: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV11 @ SV72 )
= $false )
| ( ( ~ ( ord_le1310584031lle_hf @ SV72 @ SV130 )
| ( ord_le1310584031lle_hf @ SV11 @ SV130 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(826,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ~ ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) )
| ~ ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[761]) ).
thf(827,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[761]) ).
thf(828,plain,
! [SV132: hF_Mirabelle_hf,SV74: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV13 @ SV74 )
= $false )
| ( ( ~ ( ord_le1310584031lle_hf @ SV132 @ SV13 )
| ( ord_le1310584031lle_hf @ SV132 @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(829,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ~ ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) )
| ~ ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[763]) ).
thf(830,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[763]) ).
thf(831,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ~ ( ( SV76 = SV173 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) )
| ~ ( ( SV76 != SV173 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[764]) ).
thf(832,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( SV76 = SV173 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[764]) ).
thf(833,plain,
! [SV77: hF_Mirabelle_hf,SV16: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV16 @ SV77 )
= $true )
| ( ( SV16 = SV77 )
= $true )
| ( ( ord_le976219883lle_hf @ SV16 @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(834,plain,
! [SV78: hF_Mirabelle_hf,SV17: hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY378: hF_Mirabelle_hf] :
( ~ ( SV17 @ SY378 )
| ( ord_le976219883lle_hf @ SY378 @ SV78 ) ) )
= $true )
| ( ( ( order_1640852850lle_hf @ SV17 )
= SV78 )
= $true )
| ( ( SV17 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(835,plain,
! [SV135: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf,SV18: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV18 @ SV79 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV135 @ SV18 )
| ( ord_le1310584031lle_hf @ SV135 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(836,plain,
! [SV19: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK1_SY241 @ SV19 ) @ ( sK2_SY517 @ SV19 ) )
| ( ord_le976219883lle_hf @ ( SV19 @ ( sK2_SY517 @ SV19 ) ) @ ( SV19 @ ( sK1_SY241 @ SV19 ) ) ) )
= $false )
| ( ( order_690706045lle_hf @ SV19 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[768]) ).
thf(837,plain,
! [SV174: hF_Mirabelle_hf,SV136: hF_Mirabelle_hf,SV80: hF_Mirabelle_hf > nat,SV20: nat] :
( ( ( SV20
!= ( SV80 @ SV136 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV136 @ SV174 )
| ~ ! [SY382: hF_Mirabelle_hf,SY383: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY382 @ SY383 )
| ( ord_less_eq_nat @ ( SV80 @ SY382 ) @ ( SV80 @ SY383 ) ) )
| ( ord_less_eq_nat @ SV20 @ ( SV80 @ SV174 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(838,plain,
! [SV175: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf,SV81: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV21 @ SV81 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ ( SV137 @ SV81 ) @ SV175 )
| ~ ! [SY470: hF_Mirabelle_hf,SY471: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY470 @ SY471 )
| ( ord_le976219883lle_hf @ ( SV137 @ SY470 ) @ ( SV137 @ SY471 ) ) )
| ( ord_le976219883lle_hf @ ( SV137 @ SV21 ) @ SV175 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(839,plain,
! [SV176: hF_Mirabelle_hf,SV138: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf > hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SV138 ) ) )
= $true )
| ( ( ~ ( ord_le1310584031lle_hf @ SV138 @ SV176 )
| ~ ! [SY390: hF_Mirabelle_hf,SY391: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY390 @ SY391 )
| ( ord_le1310584031lle_hf @ ( SV83 @ SY390 ) @ ( SV83 @ SY391 ) ) )
| ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SV176 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(840,plain,
! [SV177: hF_Mirabelle_hf,SV139: nat > hF_Mirabelle_hf,SV84: nat,SV24: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV24 @ SV84 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ ( SV139 @ SV84 ) @ SV177 )
| ~ ! [SY476: nat,SY477: nat] :
( ~ ( ord_less_eq_nat @ SY476 @ SY477 )
| ( ord_le976219883lle_hf @ ( SV139 @ SY476 ) @ ( SV139 @ SY477 ) ) )
| ( ord_le976219883lle_hf @ ( SV139 @ SV24 ) @ SV177 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(841,plain,
! [SV178: nat,SV140: hF_Mirabelle_hf > nat,SV85: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV25 @ SV85 ) )
= $true )
| ( ( ~ ( ord_less_eq_nat @ ( SV140 @ SV85 ) @ SV178 )
| ~ ! [SY479: hF_Mirabelle_hf,SY480: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY479 @ SY480 )
| ( ord_less_eq_nat @ ( SV140 @ SY479 ) @ ( SV140 @ SY480 ) ) )
| ( ord_less_eq_nat @ ( SV140 @ SV25 ) @ SV178 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(842,plain,
! [SV179: nat,SV141: hF_Mirabelle_hf > nat,SV86: hF_Mirabelle_hf,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV26 @ SV86 ) )
= $true )
| ( ( ( ( SV141 @ SV86 )
!= SV179 )
| ~ ! [SY482: hF_Mirabelle_hf,SY483: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY482 @ SY483 )
| ( ord_less_eq_nat @ ( SV141 @ SY482 ) @ ( SV141 @ SY483 ) ) )
| ( ord_less_eq_nat @ ( SV141 @ SV26 ) @ SV179 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(843,plain,
! [SV142: hF_Mirabelle_hf,SV88: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV28 @ SV88 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV88 @ SV142 )
| ( ord_le976219883lle_hf @ SV28 @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(844,plain,
! [SV180: hF_Mirabelle_hf,SV143: hF_Mirabelle_hf,SV89: hF_Mirabelle_hf > hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV143 ) ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV143 @ SV180 )
| ~ ! [SY407: hF_Mirabelle_hf,SY408: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY407 @ SY408 )
| ( ord_le976219883lle_hf @ ( SV89 @ SY407 ) @ ( SV89 @ SY408 ) ) )
| ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV180 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(845,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ~ ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) )
| ~ ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[779]) ).
thf(846,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[779]) ).
thf(847,plain,
! [SV145: hF_Mirabelle_hf,SV92: hF_Mirabelle_hf,SV32: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV32 @ SV92 )
= $false )
| ( ( ( SV92 != SV145 )
| ( ord_le976219883lle_hf @ SV32 @ SV145 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(848,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ~ ( ( SV93 = SV182 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) )
| ~ ( ( SV93 != SV182 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[782]) ).
thf(849,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( SV93 = SV182 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[782]) ).
thf(850,plain,
! [SV94: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ( SV34 = SV94 )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV34 @ SV94 )
| ( ord_le1310584031lle_hf @ SV34 @ SV94 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(851,plain,
! [SV183: nat,SV147: nat,SV96: nat > hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ( SV36
!= ( SV96 @ SV147 ) )
= $true )
| ( ( ~ ( ord_less_eq_nat @ SV147 @ SV183 )
| ~ ! [SY415: nat,SY416: nat] :
( ~ ( ord_less_eq_nat @ SY415 @ SY416 )
| ( ord_le976219883lle_hf @ ( SV96 @ SY415 ) @ ( SV96 @ SY416 ) ) )
| ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SV183 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[785]) ).
thf(852,plain,
! [SV37: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV97 @ SV37 )
= $false )
| ( ( ord_le976219883lle_hf @ SV37 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(853,plain,
! [SV148: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV38: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( order_690706045lle_hf @ SV38 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV98 @ SV148 )
| ( ord_le976219883lle_hf @ ( SV38 @ SV148 ) @ ( SV38 @ SV98 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(854,plain,
! [SV149: hF_Mirabelle_hf,SV99: hF_Mirabelle_hf,SV39: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV39 @ SV99 )
= $false )
| ( ( ~ ( ord_le1310584031lle_hf @ SV99 @ SV149 )
| ( ord_le1310584031lle_hf @ SV39 @ SV149 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(855,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ~ ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) )
| ~ ( ~ ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[789]) ).
thf(856,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[789]) ).
thf(857,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true )
| ( ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
= ( SV41 = SV101 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(858,plain,
! [SV185: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf > hF_Mirabelle_hf,SV102: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV42 @ SV102 ) )
= $true )
| ( ( ~ ( ord_le1310584031lle_hf @ ( SV151 @ SV102 ) @ SV185 )
| ~ ! [SY491: hF_Mirabelle_hf,SY492: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY491 @ SY492 )
| ( ord_le976219883lle_hf @ ( SV151 @ SY491 ) @ ( SV151 @ SY492 ) ) )
| ( ord_le1310584031lle_hf @ ( SV151 @ SV42 ) @ SV185 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[791]) ).
thf(859,plain,
! [SV186: nat,SV152: nat,SV103: nat > hF_Mirabelle_hf,SV43: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV152 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_nat @ SV152 @ SV186 )
| ~ ! [SY426: nat,SY427: nat] :
( ~ ( ord_less_eq_nat @ SY426 @ SY427 )
| ( ord_le976219883lle_hf @ ( SV103 @ SY426 ) @ ( SV103 @ SY427 ) ) )
| ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV186 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(860,plain,
! [SV187: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf,SV104: hF_Mirabelle_hf > nat,SV44: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV153 ) ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV153 @ SV187 )
| ~ ! [SY430: hF_Mirabelle_hf,SY431: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY430 @ SY431 )
| ( ord_less_eq_nat @ ( SV104 @ SY430 ) @ ( SV104 @ SY431 ) ) )
| ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV187 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[793]) ).
thf(861,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ~ ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) )
| ~ ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[794]) ).
thf(862,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[794]) ).
thf(863,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( SV46 @ SV106 )
= $false )
| ( ( ~ ! [SY434: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY434 )
| ( ord_le976219883lle_hf @ SY434 @ SV106 ) )
| ~ ! [SY500: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY500 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY500 ) )
| ( SV155 @ SY500 ) )
| ( SV155 @ ( order_1640852850lle_hf @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(864,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ~ ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) )
| ~ ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[796]) ).
thf(865,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= ( ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[796]) ).
thf(866,plain,
! [SV190: hF_Mirabelle_hf,SV157: nat > hF_Mirabelle_hf,SV108: nat,SV48: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV48 @ SV108 ) )
= $true )
| ( ( ( ( SV157 @ SV108 )
!= SV190 )
| ~ ! [SY504: nat,SY505: nat] :
( ~ ( ord_less_eq_nat @ SY504 @ SY505 )
| ( ord_le976219883lle_hf @ ( SV157 @ SY504 ) @ ( SV157 @ SY505 ) ) )
| ( ord_le976219883lle_hf @ ( SV157 @ SV48 ) @ SV190 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(867,plain,
! [SV191: hF_Mirabelle_hf,SV158: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf,SV49: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV158 ) ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV158 @ SV191 )
| ~ ! [SY445: hF_Mirabelle_hf,SY446: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY445 @ SY446 )
| ( ord_le976219883lle_hf @ ( SV109 @ SY445 ) @ ( SV109 @ SY446 ) ) )
| ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV191 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(868,plain,
! [SV159: hF_Mirabelle_hf,SV110: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( SV50 = SV110 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV110 @ SV159 )
| ( ord_le976219883lle_hf @ SV50 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(869,plain,
! [SV111: hF_Mirabelle_hf,SV51: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV51 != SV111 ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV51 @ SV111 )
= $true )
| ( ( ord_le976219883lle_hf @ SV51 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(870,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
| ( SV112 = SV53 ) )
| ~ ( ~ ( ord_le976219883lle_hf @ SV112 @ SV53 )
| ( SV112 != SV53 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[801]) ).
thf(871,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
= ( SV112 = SV53 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[801]) ).
thf(872,plain,
! [SV54: hF_Mirabelle_hf,SV113: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV113 @ SV54 ) )
= $true )
| ( ( SV54 = SV113 )
= $true )
| ( ( ord_le976219883lle_hf @ SV54 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[802]) ).
thf(873,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ~ ( ( SV114 = SV192 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) )
| ~ ( ( SV114 != SV192 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[803]) ).
thf(874,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( SV114 = SV192 )
= ( ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[803]) ).
thf(875,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ( order_690706045lle_hf @ SV115 )
| ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) )
= $false )
| ( ( ~ ( ~ ( order_690706045lle_hf @ SV115 )
| ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(876,plain,
! [SV57: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV116 @ SV57 ) )
= $true )
| ( ( SV57 = SV116 )
= $true )
| ( ( ord_le976219883lle_hf @ SV57 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(877,plain,
! [SV161: hF_Mirabelle_hf,SV117: hF_Mirabelle_hf,SV58: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV58 @ SV117 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV117 @ SV161 )
| ( ord_le976219883lle_hf @ SV58 @ SV161 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(878,plain,
! [SV59: hF_Mirabelle_hf,SV118: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV118 @ SV59 ) )
= $true )
| ( ( SV118 = SV59 )
= $true )
| ( ( ord_le976219883lle_hf @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(879,plain,
! [SV162: hF_Mirabelle_hf,SV119: hF_Mirabelle_hf,SV60: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV60 @ SV119 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV119 @ SV162 )
| ( ord_le1310584031lle_hf @ SV60 @ SV162 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(880,plain,
! [SV193: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf > hF_Mirabelle_hf,SV120: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV61 @ SV120 ) )
= $true )
| ( ( ( ( SV163 @ SV120 )
!= SV193 )
| ~ ! [SY510: hF_Mirabelle_hf,SY511: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY510 @ SY511 )
| ( ord_le976219883lle_hf @ ( SV163 @ SY510 ) @ ( SV163 @ SY511 ) ) )
| ( ord_le976219883lle_hf @ ( SV163 @ SV61 ) @ SV193 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(881,plain,
! [SV194: hF_Mirabelle_hf,SV164: hF_Mirabelle_hf > hF_Mirabelle_hf,SV121: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV62 @ SV121 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ ( SV164 @ SV121 ) @ SV194 )
| ~ ! [SY513: hF_Mirabelle_hf,SY514: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY513 @ SY514 )
| ( ord_le1310584031lle_hf @ ( SV164 @ SY513 ) @ ( SV164 @ SY514 ) ) )
| ( ord_le1310584031lle_hf @ ( SV164 @ SV62 ) @ SV194 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[810]) ).
thf(882,plain,
! [SV165: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV63 @ SV122 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV165 @ SV63 )
| ( ord_le976219883lle_hf @ SV165 @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(883,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
| ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV64 @ SV166 )
| ~ ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[812]) ).
thf(884,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
| ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV65 @ SV167 )
| ~ ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(885,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
| ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV66 @ SV168 )
| ~ ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(886,plain,
! [SV6: hF_Mirabelle_hf > hF_Mirabelle_hf,SV126: hF_Mirabelle_hf,SV67: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV67 @ SV126 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV6 @ SV126 ) @ ( SV6 @ SV67 ) )
= $true )
| ( ( order_690706045lle_hf @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(887,plain,
! [SV7: hF_Mirabelle_hf,SV127: hF_Mirabelle_hf,SV68: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV68 @ SV127 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV7 @ SV127 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV7 @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(888,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[820]) ).
thf(889,plain,
! [SV170: hF_Mirabelle_hf,SV129: hF_Mirabelle_hf,SV70: hF_Mirabelle_hf > hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ( SV9
= ( SV70 @ SV129 ) )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV129 @ SV170 )
| ~ ! [SY370: hF_Mirabelle_hf,SY371: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY370 @ SY371 )
| ( ord_le976219883lle_hf @ ( SV70 @ SY370 ) @ ( SV70 @ SY371 ) ) )
| ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SV170 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(890,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 )
| ( SV10 = SV71 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 )
| ( SV10 != SV71 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[823]) ).
thf(891,plain,
! [SV11: hF_Mirabelle_hf,SV130: hF_Mirabelle_hf,SV72: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV72 @ SV130 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV11 @ SV130 )
= $true )
| ( ( ord_le976219883lle_hf @ SV11 @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[825]) ).
thf(892,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(893,plain,
! [SV74: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf,SV132: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV132 @ SV13 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV132 @ SV74 )
= $true )
| ( ( ord_le976219883lle_hf @ SV13 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[828]) ).
thf(894,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[829]) ).
thf(895,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV76 = SV173 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) ) )
= $true )
| ( ( ~ ( ( SV76 != SV173 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(896,plain,
! [SV78: hF_Mirabelle_hf,SV17: hF_Mirabelle_hf > $o] :
( ( ( ! [SY378: hF_Mirabelle_hf] :
( ~ ( SV17 @ SY378 )
| ( ord_le976219883lle_hf @ SY378 @ SV78 ) ) )
= $false )
| ( ( ( order_1640852850lle_hf @ SV17 )
= SV78 )
= $true )
| ( ( SV17 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(897,plain,
! [SV79: hF_Mirabelle_hf,SV18: hF_Mirabelle_hf,SV135: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV135 @ SV18 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV135 @ SV79 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV18 @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[835]) ).
thf(898,plain,
! [SV19: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK1_SY241 @ SV19 ) @ ( sK2_SY517 @ SV19 ) ) )
= $false )
| ( ( order_690706045lle_hf @ SV19 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(899,plain,
! [SV19: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV19 @ ( sK2_SY517 @ SV19 ) ) @ ( SV19 @ ( sK1_SY241 @ SV19 ) ) )
= $false )
| ( ( order_690706045lle_hf @ SV19 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(900,plain,
! [SV174: hF_Mirabelle_hf,SV136: hF_Mirabelle_hf,SV80: hF_Mirabelle_hf > nat,SV20: nat] :
( ( ( SV20
= ( SV80 @ SV136 ) )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV136 @ SV174 )
| ~ ! [SY382: hF_Mirabelle_hf,SY383: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY382 @ SY383 )
| ( ord_less_eq_nat @ ( SV80 @ SY382 ) @ ( SV80 @ SY383 ) ) )
| ( ord_less_eq_nat @ SV20 @ ( SV80 @ SV174 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(901,plain,
! [SV175: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf,SV81: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV21 @ SV81 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ ( SV137 @ SV81 ) @ SV175 )
| ~ ! [SY470: hF_Mirabelle_hf,SY471: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY470 @ SY471 )
| ( ord_le976219883lle_hf @ ( SV137 @ SY470 ) @ ( SV137 @ SY471 ) ) )
| ( ord_le976219883lle_hf @ ( SV137 @ SV21 ) @ SV175 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(902,plain,
! [SV176: hF_Mirabelle_hf,SV138: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf > hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SV138 ) )
= $false )
| ( ( ~ ( ord_le1310584031lle_hf @ SV138 @ SV176 )
| ~ ! [SY390: hF_Mirabelle_hf,SY391: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY390 @ SY391 )
| ( ord_le1310584031lle_hf @ ( SV83 @ SY390 ) @ ( SV83 @ SY391 ) ) )
| ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SV176 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(903,plain,
! [SV177: hF_Mirabelle_hf,SV139: nat > hF_Mirabelle_hf,SV84: nat,SV24: nat] :
( ( ( ord_less_eq_nat @ SV24 @ SV84 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ ( SV139 @ SV84 ) @ SV177 )
| ~ ! [SY476: nat,SY477: nat] :
( ~ ( ord_less_eq_nat @ SY476 @ SY477 )
| ( ord_le976219883lle_hf @ ( SV139 @ SY476 ) @ ( SV139 @ SY477 ) ) )
| ( ord_le976219883lle_hf @ ( SV139 @ SV24 ) @ SV177 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(904,plain,
! [SV178: nat,SV140: hF_Mirabelle_hf > nat,SV85: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV25 @ SV85 )
= $false )
| ( ( ~ ( ord_less_eq_nat @ ( SV140 @ SV85 ) @ SV178 )
| ~ ! [SY479: hF_Mirabelle_hf,SY480: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY479 @ SY480 )
| ( ord_less_eq_nat @ ( SV140 @ SY479 ) @ ( SV140 @ SY480 ) ) )
| ( ord_less_eq_nat @ ( SV140 @ SV25 ) @ SV178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(905,plain,
! [SV179: nat,SV141: hF_Mirabelle_hf > nat,SV86: hF_Mirabelle_hf,SV26: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV26 @ SV86 )
= $false )
| ( ( ( ( SV141 @ SV86 )
!= SV179 )
| ~ ! [SY482: hF_Mirabelle_hf,SY483: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY482 @ SY483 )
| ( ord_less_eq_nat @ ( SV141 @ SY482 ) @ ( SV141 @ SY483 ) ) )
| ( ord_less_eq_nat @ ( SV141 @ SV26 ) @ SV179 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(906,plain,
! [SV28: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf,SV88: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV88 @ SV142 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV28 @ SV142 )
= $true )
| ( ( ord_le976219883lle_hf @ SV28 @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(907,plain,
! [SV180: hF_Mirabelle_hf,SV143: hF_Mirabelle_hf,SV89: hF_Mirabelle_hf > hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV143 ) )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV143 @ SV180 )
| ~ ! [SY407: hF_Mirabelle_hf,SY408: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY407 @ SY408 )
| ( ord_le976219883lle_hf @ ( SV89 @ SY407 ) @ ( SV89 @ SY408 ) ) )
| ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV180 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(908,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(909,plain,
! [SV32: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf,SV92: hF_Mirabelle_hf] :
( ( ( SV92 != SV145 )
= $true )
| ( ( ord_le976219883lle_hf @ SV32 @ SV145 )
= $true )
| ( ( ord_le976219883lle_hf @ SV32 @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(910,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV93 = SV182 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) ) )
= $true )
| ( ( ~ ( ( SV93 != SV182 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[848]) ).
thf(911,plain,
! [SV94: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV34 @ SV94 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV34 @ SV94 )
= $true )
| ( ( SV34 = SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[850]) ).
thf(912,plain,
! [SV183: nat,SV147: nat,SV96: nat > hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ( SV36
= ( SV96 @ SV147 ) )
= $false )
| ( ( ~ ( ord_less_eq_nat @ SV147 @ SV183 )
| ~ ! [SY415: nat,SY416: nat] :
( ~ ( ord_less_eq_nat @ SY415 @ SY416 )
| ( ord_le976219883lle_hf @ ( SV96 @ SY415 ) @ ( SV96 @ SY416 ) ) )
| ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SV183 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(913,plain,
! [SV38: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV98 @ SV148 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV38 @ SV148 ) @ ( SV38 @ SV98 ) )
= $true )
| ( ( order_690706045lle_hf @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(914,plain,
! [SV39: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf,SV99: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV99 @ SV149 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV39 @ SV149 )
= $true )
| ( ( ord_le976219883lle_hf @ SV39 @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(915,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(916,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
| ( SV41 = SV101 ) )
| ~ ( ~ ( ord_le976219883lle_hf @ SV41 @ SV101 )
| ( SV41 != SV101 ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[857]) ).
thf(917,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
= ( SV41 = SV101 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[857]) ).
thf(918,plain,
! [SV185: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf > hF_Mirabelle_hf,SV102: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV42 @ SV102 )
= $false )
| ( ( ~ ( ord_le1310584031lle_hf @ ( SV151 @ SV102 ) @ SV185 )
| ~ ! [SY491: hF_Mirabelle_hf,SY492: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY491 @ SY492 )
| ( ord_le976219883lle_hf @ ( SV151 @ SY491 ) @ ( SV151 @ SY492 ) ) )
| ( ord_le1310584031lle_hf @ ( SV151 @ SV42 ) @ SV185 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(919,plain,
! [SV186: nat,SV152: nat,SV103: nat > hF_Mirabelle_hf,SV43: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV152 ) )
= $false )
| ( ( ~ ( ord_less_eq_nat @ SV152 @ SV186 )
| ~ ! [SY426: nat,SY427: nat] :
( ~ ( ord_less_eq_nat @ SY426 @ SY427 )
| ( ord_le976219883lle_hf @ ( SV103 @ SY426 ) @ ( SV103 @ SY427 ) ) )
| ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV186 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(920,plain,
! [SV187: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf,SV104: hF_Mirabelle_hf > nat,SV44: nat] :
( ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV153 ) )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV153 @ SV187 )
| ~ ! [SY430: hF_Mirabelle_hf,SY431: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY430 @ SY431 )
| ( ord_less_eq_nat @ ( SV104 @ SY430 ) @ ( SV104 @ SY431 ) ) )
| ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV187 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(921,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[861]) ).
thf(922,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY434: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY434 )
| ( ord_le976219883lle_hf @ SY434 @ SV106 ) ) )
= $true )
| ( ( ~ ! [SY500: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY500 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY500 ) )
| ( SV155 @ SY500 ) )
| ( SV155 @ ( order_1640852850lle_hf @ SV46 ) ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[863]) ).
thf(923,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[864]) ).
thf(924,plain,
! [SV190: hF_Mirabelle_hf,SV157: nat > hF_Mirabelle_hf,SV108: nat,SV48: nat] :
( ( ( ord_less_eq_nat @ SV48 @ SV108 )
= $false )
| ( ( ( ( SV157 @ SV108 )
!= SV190 )
| ~ ! [SY504: nat,SY505: nat] :
( ~ ( ord_less_eq_nat @ SY504 @ SY505 )
| ( ord_le976219883lle_hf @ ( SV157 @ SY504 ) @ ( SV157 @ SY505 ) ) )
| ( ord_le976219883lle_hf @ ( SV157 @ SV48 ) @ SV190 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(925,plain,
! [SV191: hF_Mirabelle_hf,SV158: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf,SV49: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV158 ) )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV158 @ SV191 )
| ~ ! [SY445: hF_Mirabelle_hf,SY446: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY445 @ SY446 )
| ( ord_le976219883lle_hf @ ( SV109 @ SY445 ) @ ( SV109 @ SY446 ) ) )
| ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV191 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(926,plain,
! [SV50: hF_Mirabelle_hf,SV159: hF_Mirabelle_hf,SV110: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV110 @ SV159 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV50 @ SV159 )
= $true )
| ( ( SV50 = SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(927,plain,
! [SV111: hF_Mirabelle_hf,SV51: hF_Mirabelle_hf] :
( ( ( SV51 != SV111 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV51 @ SV111 )
= $true )
| ( ( ord_le976219883lle_hf @ SV51 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(928,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
| ( SV112 = SV53 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV112 @ SV53 )
| ( SV112 != SV53 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(929,plain,
! [SV54: hF_Mirabelle_hf,SV113: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV113 @ SV54 )
= $false )
| ( ( SV54 = SV113 )
= $true )
| ( ( ord_le976219883lle_hf @ SV54 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(930,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV114 = SV192 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) ) )
= $true )
| ( ( ~ ( ( SV114 != SV192 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[873]) ).
thf(931,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( order_690706045lle_hf @ SV115 )
= $false )
| ( ( ~ ( ~ ( order_690706045lle_hf @ SV115 )
| ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(932,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) )
= $false )
| ( ( ~ ( ~ ( order_690706045lle_hf @ SV115 )
| ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(933,plain,
! [SV57: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV116 @ SV57 )
= $false )
| ( ( SV57 = SV116 )
= $true )
| ( ( ord_le976219883lle_hf @ SV57 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(934,plain,
! [SV58: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf,SV117: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV117 @ SV161 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV58 @ SV161 )
= $true )
| ( ( ord_le976219883lle_hf @ SV58 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(935,plain,
! [SV59: hF_Mirabelle_hf,SV118: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV118 @ SV59 )
= $false )
| ( ( SV118 = SV59 )
= $true )
| ( ( ord_le976219883lle_hf @ SV59 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(936,plain,
! [SV60: hF_Mirabelle_hf,SV162: hF_Mirabelle_hf,SV119: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV119 @ SV162 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV60 @ SV162 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV60 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[879]) ).
thf(937,plain,
! [SV193: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf > hF_Mirabelle_hf,SV120: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV61 @ SV120 )
= $false )
| ( ( ( ( SV163 @ SV120 )
!= SV193 )
| ~ ! [SY510: hF_Mirabelle_hf,SY511: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY510 @ SY511 )
| ( ord_le976219883lle_hf @ ( SV163 @ SY510 ) @ ( SV163 @ SY511 ) ) )
| ( ord_le976219883lle_hf @ ( SV163 @ SV61 ) @ SV193 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(938,plain,
! [SV194: hF_Mirabelle_hf,SV164: hF_Mirabelle_hf > hF_Mirabelle_hf,SV121: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV62 @ SV121 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ ( SV164 @ SV121 ) @ SV194 )
| ~ ! [SY513: hF_Mirabelle_hf,SY514: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY513 @ SY514 )
| ( ord_le1310584031lle_hf @ ( SV164 @ SY513 ) @ ( SV164 @ SY514 ) ) )
| ( ord_le1310584031lle_hf @ ( SV164 @ SV62 ) @ SV194 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(939,plain,
! [SV122: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf,SV165: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV165 @ SV63 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV165 @ SV122 )
= $true )
| ( ( ord_le976219883lle_hf @ SV63 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(940,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
| ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV64 @ SV166 )
| ~ ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(941,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
| ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV65 @ SV167 )
| ~ ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(942,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
| ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV66 @ SV168 )
| ~ ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(943,plain,
! [SV6: hF_Mirabelle_hf > hF_Mirabelle_hf,SV126: hF_Mirabelle_hf,SV67: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV67 @ SV126 )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV6 @ SV126 ) @ ( SV6 @ SV67 ) )
= $true )
| ( ( order_690706045lle_hf @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(944,plain,
! [SV7: hF_Mirabelle_hf,SV127: hF_Mirabelle_hf,SV68: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV68 @ SV127 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV7 @ SV127 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV7 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(945,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(946,plain,
! [SV9: hF_Mirabelle_hf,SV70: hF_Mirabelle_hf > hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV129: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV129 @ SV170 ) )
= $true )
| ( ( ~ ! [SY370: hF_Mirabelle_hf,SY371: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY370 @ SY371 )
| ( ord_le976219883lle_hf @ ( SV70 @ SY370 ) @ ( SV70 @ SY371 ) ) )
| ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SV170 ) ) )
= $true )
| ( ( SV9
= ( SV70 @ SV129 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(947,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 )
| ( SV10 = SV71 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 )
| ( SV10 != SV71 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(948,plain,
! [SV11: hF_Mirabelle_hf,SV130: hF_Mirabelle_hf,SV72: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV72 @ SV130 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV11 @ SV130 )
= $true )
| ( ( ord_le976219883lle_hf @ SV11 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(949,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(950,plain,
! [SV74: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf,SV132: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV132 @ SV13 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV132 @ SV74 )
= $true )
| ( ( ord_le976219883lle_hf @ SV13 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(951,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(952,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ( SV76 = SV173 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) )
= $false )
| ( ( ~ ( ( SV76 != SV173 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(953,plain,
! [SV78: hF_Mirabelle_hf,SV17: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV17 @ ( sK3_SY378 @ SV78 @ SV17 ) )
| ( ord_le976219883lle_hf @ ( sK3_SY378 @ SV78 @ SV17 ) @ SV78 ) )
= $false )
| ( ( ( order_1640852850lle_hf @ SV17 )
= SV78 )
= $true )
| ( ( SV17 @ SV78 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[896]) ).
thf(954,plain,
! [SV79: hF_Mirabelle_hf,SV18: hF_Mirabelle_hf,SV135: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV135 @ SV18 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV135 @ SV79 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV18 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(955,plain,
! [SV19: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( sK1_SY241 @ SV19 ) @ ( sK2_SY517 @ SV19 ) )
= $true )
| ( ( order_690706045lle_hf @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[898]) ).
thf(956,plain,
! [SV20: nat,SV80: hF_Mirabelle_hf > nat,SV174: hF_Mirabelle_hf,SV136: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV136 @ SV174 ) )
= $true )
| ( ( ~ ! [SY382: hF_Mirabelle_hf,SY383: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY382 @ SY383 )
| ( ord_less_eq_nat @ ( SV80 @ SY382 ) @ ( SV80 @ SY383 ) ) )
| ( ord_less_eq_nat @ SV20 @ ( SV80 @ SV174 ) ) )
= $true )
| ( ( SV20
= ( SV80 @ SV136 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(957,plain,
! [SV21: hF_Mirabelle_hf,SV175: hF_Mirabelle_hf,SV81: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( SV137 @ SV81 ) @ SV175 ) )
= $true )
| ( ( ~ ! [SY470: hF_Mirabelle_hf,SY471: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY470 @ SY471 )
| ( ord_le976219883lle_hf @ ( SV137 @ SY470 ) @ ( SV137 @ SY471 ) ) )
| ( ord_le976219883lle_hf @ ( SV137 @ SV21 ) @ SV175 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV21 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[901]) ).
thf(958,plain,
! [SV23: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf > hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV138: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV138 @ SV176 ) )
= $true )
| ( ( ~ ! [SY390: hF_Mirabelle_hf,SY391: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY390 @ SY391 )
| ( ord_le1310584031lle_hf @ ( SV83 @ SY390 ) @ ( SV83 @ SY391 ) ) )
| ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SV176 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SV138 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[902]) ).
thf(959,plain,
! [SV24: nat,SV177: hF_Mirabelle_hf,SV84: nat,SV139: nat > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( SV139 @ SV84 ) @ SV177 ) )
= $true )
| ( ( ~ ! [SY476: nat,SY477: nat] :
( ~ ( ord_less_eq_nat @ SY476 @ SY477 )
| ( ord_le976219883lle_hf @ ( SV139 @ SY476 ) @ ( SV139 @ SY477 ) ) )
| ( ord_le976219883lle_hf @ ( SV139 @ SV24 ) @ SV177 ) )
= $true )
| ( ( ord_less_eq_nat @ SV24 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(960,plain,
! [SV25: hF_Mirabelle_hf,SV178: nat,SV85: hF_Mirabelle_hf,SV140: hF_Mirabelle_hf > nat] :
( ( ( ~ ( ord_less_eq_nat @ ( SV140 @ SV85 ) @ SV178 ) )
= $true )
| ( ( ~ ! [SY479: hF_Mirabelle_hf,SY480: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY479 @ SY480 )
| ( ord_less_eq_nat @ ( SV140 @ SY479 ) @ ( SV140 @ SY480 ) ) )
| ( ord_less_eq_nat @ ( SV140 @ SV25 ) @ SV178 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV25 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[904]) ).
thf(961,plain,
! [SV26: hF_Mirabelle_hf,SV179: nat,SV86: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > nat] :
( ( ( ( SV141 @ SV86 )
!= SV179 )
= $true )
| ( ( ~ ! [SY482: hF_Mirabelle_hf,SY483: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY482 @ SY483 )
| ( ord_less_eq_nat @ ( SV141 @ SY482 ) @ ( SV141 @ SY483 ) ) )
| ( ord_less_eq_nat @ ( SV141 @ SV26 ) @ SV179 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV26 @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[905]) ).
thf(962,plain,
! [SV28: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf,SV88: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV88 @ SV142 )
= $false )
| ( ( ord_le976219883lle_hf @ SV28 @ SV142 )
= $true )
| ( ( ord_le976219883lle_hf @ SV28 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(963,plain,
! [SV29: hF_Mirabelle_hf,SV89: hF_Mirabelle_hf > hF_Mirabelle_hf,SV180: hF_Mirabelle_hf,SV143: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV143 @ SV180 ) )
= $true )
| ( ( ~ ! [SY407: hF_Mirabelle_hf,SY408: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY407 @ SY408 )
| ( ord_le976219883lle_hf @ ( SV89 @ SY407 ) @ ( SV89 @ SY408 ) ) )
| ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV180 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV143 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(964,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(965,plain,
! [SV32: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf,SV92: hF_Mirabelle_hf] :
( ( ( SV92 = SV145 )
= $false )
| ( ( ord_le976219883lle_hf @ SV32 @ SV145 )
= $true )
| ( ( ord_le976219883lle_hf @ SV32 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(966,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( ( SV93 = SV182 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) )
= $false )
| ( ( ~ ( ( SV93 != SV182 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(967,plain,
! [SV94: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV34 @ SV94 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV34 @ SV94 )
= $true )
| ( ( SV34 = SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(968,plain,
! [SV36: hF_Mirabelle_hf,SV96: nat > hF_Mirabelle_hf,SV183: nat,SV147: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV147 @ SV183 ) )
= $true )
| ( ( ~ ! [SY415: nat,SY416: nat] :
( ~ ( ord_less_eq_nat @ SY415 @ SY416 )
| ( ord_le976219883lle_hf @ ( SV96 @ SY415 ) @ ( SV96 @ SY416 ) ) )
| ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SV183 ) ) )
= $true )
| ( ( SV36
= ( SV96 @ SV147 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[912]) ).
thf(969,plain,
! [SV38: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV98 @ SV148 )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV38 @ SV148 ) @ ( SV38 @ SV98 ) )
= $true )
| ( ( order_690706045lle_hf @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(970,plain,
! [SV39: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf,SV99: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV99 @ SV149 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV39 @ SV149 )
= $true )
| ( ( ord_le976219883lle_hf @ SV39 @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(971,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(972,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
| ( SV41 = SV101 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV41 @ SV101 )
| ( SV41 != SV101 ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[916]) ).
thf(973,plain,
! [SV42: hF_Mirabelle_hf,SV185: hF_Mirabelle_hf,SV102: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ ( SV151 @ SV102 ) @ SV185 ) )
= $true )
| ( ( ~ ! [SY491: hF_Mirabelle_hf,SY492: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY491 @ SY492 )
| ( ord_le976219883lle_hf @ ( SV151 @ SY491 ) @ ( SV151 @ SY492 ) ) )
| ( ord_le1310584031lle_hf @ ( SV151 @ SV42 ) @ SV185 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV42 @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(974,plain,
! [SV43: hF_Mirabelle_hf,SV103: nat > hF_Mirabelle_hf,SV186: nat,SV152: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV152 @ SV186 ) )
= $true )
| ( ( ~ ! [SY426: nat,SY427: nat] :
( ~ ( ord_less_eq_nat @ SY426 @ SY427 )
| ( ord_le976219883lle_hf @ ( SV103 @ SY426 ) @ ( SV103 @ SY427 ) ) )
| ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV186 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV152 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[919]) ).
thf(975,plain,
! [SV44: nat,SV104: hF_Mirabelle_hf > nat,SV187: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV153 @ SV187 ) )
= $true )
| ( ( ~ ! [SY430: hF_Mirabelle_hf,SY431: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY430 @ SY431 )
| ( ord_less_eq_nat @ ( SV104 @ SY430 ) @ ( SV104 @ SY431 ) ) )
| ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV187 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV153 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[920]) ).
thf(976,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(977,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ! [SY434: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY434 )
| ( ord_le976219883lle_hf @ SY434 @ SV106 ) ) )
= $false )
| ( ( ~ ! [SY500: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY500 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY500 ) )
| ( SV155 @ SY500 ) )
| ( SV155 @ ( order_1640852850lle_hf @ SV46 ) ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(978,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(979,plain,
! [SV48: nat,SV190: hF_Mirabelle_hf,SV108: nat,SV157: nat > hF_Mirabelle_hf] :
( ( ( ( SV157 @ SV108 )
!= SV190 )
= $true )
| ( ( ~ ! [SY504: nat,SY505: nat] :
( ~ ( ord_less_eq_nat @ SY504 @ SY505 )
| ( ord_le976219883lle_hf @ ( SV157 @ SY504 ) @ ( SV157 @ SY505 ) ) )
| ( ord_le976219883lle_hf @ ( SV157 @ SV48 ) @ SV190 ) )
= $true )
| ( ( ord_less_eq_nat @ SV48 @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[924]) ).
thf(980,plain,
! [SV49: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf,SV191: hF_Mirabelle_hf,SV158: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV158 @ SV191 ) )
= $true )
| ( ( ~ ! [SY445: hF_Mirabelle_hf,SY446: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY445 @ SY446 )
| ( ord_le976219883lle_hf @ ( SV109 @ SY445 ) @ ( SV109 @ SY446 ) ) )
| ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV191 ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV158 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(981,plain,
! [SV50: hF_Mirabelle_hf,SV159: hF_Mirabelle_hf,SV110: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV110 @ SV159 )
= $false )
| ( ( ord_le976219883lle_hf @ SV50 @ SV159 )
= $true )
| ( ( SV50 = SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(982,plain,
! [SV111: hF_Mirabelle_hf,SV51: hF_Mirabelle_hf] :
( ( ( SV51 = SV111 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV51 @ SV111 )
= $true )
| ( ( ord_le976219883lle_hf @ SV51 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[927]) ).
thf(983,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
| ( SV112 = SV53 ) )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV112 @ SV53 )
| ( SV112 != SV53 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(984,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ( SV114 = SV192 )
| ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) )
= $false )
| ( ( ~ ( ( SV114 != SV192 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(985,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( order_690706045lle_hf @ SV115 )
| ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) )
= $false )
| ( ( order_690706045lle_hf @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(986,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY549: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ ( sK4_SY450 @ SV115 ) @ SY549 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY549 ) @ ( SV115 @ ( sK4_SY450 @ SV115 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( order_690706045lle_hf @ SV115 )
| ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[932]) ).
thf(987,plain,
! [SV58: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf,SV117: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV117 @ SV161 )
= $false )
| ( ( ord_le976219883lle_hf @ SV58 @ SV161 )
= $true )
| ( ( ord_le976219883lle_hf @ SV58 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(988,plain,
! [SV60: hF_Mirabelle_hf,SV162: hF_Mirabelle_hf,SV119: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV119 @ SV162 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV60 @ SV162 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV60 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(989,plain,
! [SV61: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ( SV163 @ SV120 )
!= SV193 )
= $true )
| ( ( ~ ! [SY510: hF_Mirabelle_hf,SY511: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY510 @ SY511 )
| ( ord_le976219883lle_hf @ ( SV163 @ SY510 ) @ ( SV163 @ SY511 ) ) )
| ( ord_le976219883lle_hf @ ( SV163 @ SV61 ) @ SV193 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[937]) ).
thf(990,plain,
! [SV62: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf,SV121: hF_Mirabelle_hf,SV164: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( SV164 @ SV121 ) @ SV194 ) )
= $true )
| ( ( ~ ! [SY513: hF_Mirabelle_hf,SY514: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY513 @ SY514 )
| ( ord_le1310584031lle_hf @ ( SV164 @ SY513 ) @ ( SV164 @ SY514 ) ) )
| ( ord_le1310584031lle_hf @ ( SV164 @ SV62 ) @ SV194 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV62 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(991,plain,
! [SV122: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf,SV165: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV165 @ SV63 )
= $false )
| ( ( ord_le976219883lle_hf @ SV165 @ SV122 )
= $true )
| ( ( ord_le976219883lle_hf @ SV63 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(992,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV64 @ SV166 )
| ~ ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(993,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV64 @ SV166 )
| ~ ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(994,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV65 @ SV167 )
| ~ ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(995,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV65 @ SV167 )
| ~ ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(996,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV66 @ SV168 )
| ~ ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[942]) ).
thf(997,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV66 @ SV168 )
| ~ ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[942]) ).
thf(998,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(999,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(1000,plain,
! [SV9: hF_Mirabelle_hf,SV70: hF_Mirabelle_hf > hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV129: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV129 @ SV170 )
= $false )
| ( ( ~ ! [SY370: hF_Mirabelle_hf,SY371: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY370 @ SY371 )
| ( ord_le976219883lle_hf @ ( SV70 @ SY370 ) @ ( SV70 @ SY371 ) ) )
| ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SV170 ) ) )
= $true )
| ( ( SV9
= ( SV70 @ SV129 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1001,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 )
| ( SV10 != SV71 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1002,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( SV10 = SV71 )
= $false )
| ( ( ~ ( ~ ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 )
| ( SV10 != SV71 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1003,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(1004,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(1005,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[951]) ).
thf(1006,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[951]) ).
thf(1007,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( SV76 = SV173 )
= $false )
| ( ( ~ ( ( SV76 != SV173 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[952]) ).
thf(1008,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) )
= $false )
| ( ( ~ ( ( SV76 != SV173 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[952]) ).
thf(1009,plain,
! [SV78: hF_Mirabelle_hf,SV17: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV17 @ ( sK3_SY378 @ SV78 @ SV17 ) ) )
= $false )
| ( ( ( order_1640852850lle_hf @ SV17 )
= SV78 )
= $true )
| ( ( SV17 @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1010,plain,
! [SV17: hF_Mirabelle_hf > $o,SV78: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( sK3_SY378 @ SV78 @ SV17 ) @ SV78 )
= $false )
| ( ( ( order_1640852850lle_hf @ SV17 )
= SV78 )
= $true )
| ( ( SV17 @ SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1011,plain,
! [SV20: nat,SV80: hF_Mirabelle_hf > nat,SV174: hF_Mirabelle_hf,SV136: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV136 @ SV174 )
= $false )
| ( ( ~ ! [SY382: hF_Mirabelle_hf,SY383: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY382 @ SY383 )
| ( ord_less_eq_nat @ ( SV80 @ SY382 ) @ ( SV80 @ SY383 ) ) )
| ( ord_less_eq_nat @ SV20 @ ( SV80 @ SV174 ) ) )
= $true )
| ( ( SV20
= ( SV80 @ SV136 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1012,plain,
! [SV21: hF_Mirabelle_hf,SV175: hF_Mirabelle_hf,SV81: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV137 @ SV81 ) @ SV175 )
= $false )
| ( ( ~ ! [SY470: hF_Mirabelle_hf,SY471: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY470 @ SY471 )
| ( ord_le976219883lle_hf @ ( SV137 @ SY470 ) @ ( SV137 @ SY471 ) ) )
| ( ord_le976219883lle_hf @ ( SV137 @ SV21 ) @ SV175 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV21 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(1013,plain,
! [SV23: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf > hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV138: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV138 @ SV176 )
= $false )
| ( ( ~ ! [SY390: hF_Mirabelle_hf,SY391: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY390 @ SY391 )
| ( ord_le1310584031lle_hf @ ( SV83 @ SY390 ) @ ( SV83 @ SY391 ) ) )
| ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SV176 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SV138 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1014,plain,
! [SV24: nat,SV177: hF_Mirabelle_hf,SV84: nat,SV139: nat > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV139 @ SV84 ) @ SV177 )
= $false )
| ( ( ~ ! [SY476: nat,SY477: nat] :
( ~ ( ord_less_eq_nat @ SY476 @ SY477 )
| ( ord_le976219883lle_hf @ ( SV139 @ SY476 ) @ ( SV139 @ SY477 ) ) )
| ( ord_le976219883lle_hf @ ( SV139 @ SV24 ) @ SV177 ) )
= $true )
| ( ( ord_less_eq_nat @ SV24 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1015,plain,
! [SV25: hF_Mirabelle_hf,SV178: nat,SV85: hF_Mirabelle_hf,SV140: hF_Mirabelle_hf > nat] :
( ( ( ord_less_eq_nat @ ( SV140 @ SV85 ) @ SV178 )
= $false )
| ( ( ~ ! [SY479: hF_Mirabelle_hf,SY480: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY479 @ SY480 )
| ( ord_less_eq_nat @ ( SV140 @ SY479 ) @ ( SV140 @ SY480 ) ) )
| ( ord_less_eq_nat @ ( SV140 @ SV25 ) @ SV178 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV25 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1016,plain,
! [SV26: hF_Mirabelle_hf,SV179: nat,SV86: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > nat] :
( ( ( ( SV141 @ SV86 )
= SV179 )
= $false )
| ( ( ~ ! [SY482: hF_Mirabelle_hf,SY483: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY482 @ SY483 )
| ( ord_less_eq_nat @ ( SV141 @ SY482 ) @ ( SV141 @ SY483 ) ) )
| ( ord_less_eq_nat @ ( SV141 @ SV26 ) @ SV179 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV26 @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1017,plain,
! [SV29: hF_Mirabelle_hf,SV89: hF_Mirabelle_hf > hF_Mirabelle_hf,SV180: hF_Mirabelle_hf,SV143: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV143 @ SV180 )
= $false )
| ( ( ~ ! [SY407: hF_Mirabelle_hf,SY408: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY407 @ SY408 )
| ( ord_le976219883lle_hf @ ( SV89 @ SY407 ) @ ( SV89 @ SY408 ) ) )
| ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV180 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(1018,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1019,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1020,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( SV93 = SV182 )
= $false )
| ( ( ~ ( ( SV93 != SV182 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[966]) ).
thf(1021,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) )
= $false )
| ( ( ~ ( ( SV93 != SV182 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[966]) ).
thf(1022,plain,
! [SV36: hF_Mirabelle_hf,SV96: nat > hF_Mirabelle_hf,SV183: nat,SV147: nat] :
( ( ( ord_less_eq_nat @ SV147 @ SV183 )
= $false )
| ( ( ~ ! [SY415: nat,SY416: nat] :
( ~ ( ord_less_eq_nat @ SY415 @ SY416 )
| ( ord_le976219883lle_hf @ ( SV96 @ SY415 ) @ ( SV96 @ SY416 ) ) )
| ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SV183 ) ) )
= $true )
| ( ( SV36
= ( SV96 @ SV147 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(1023,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= $false )
| ( ( ~ ( ~ ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[971]) ).
thf(1024,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[971]) ).
thf(1025,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
| ( SV41 = SV101 ) )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV41 @ SV101 )
| ( SV41 != SV101 ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1026,plain,
! [SV42: hF_Mirabelle_hf,SV185: hF_Mirabelle_hf,SV102: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ ( SV151 @ SV102 ) @ SV185 )
= $false )
| ( ( ~ ! [SY491: hF_Mirabelle_hf,SY492: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY491 @ SY492 )
| ( ord_le976219883lle_hf @ ( SV151 @ SY491 ) @ ( SV151 @ SY492 ) ) )
| ( ord_le1310584031lle_hf @ ( SV151 @ SV42 ) @ SV185 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV42 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1027,plain,
! [SV43: hF_Mirabelle_hf,SV103: nat > hF_Mirabelle_hf,SV186: nat,SV152: nat] :
( ( ( ord_less_eq_nat @ SV152 @ SV186 )
= $false )
| ( ( ~ ! [SY426: nat,SY427: nat] :
( ~ ( ord_less_eq_nat @ SY426 @ SY427 )
| ( ord_le976219883lle_hf @ ( SV103 @ SY426 ) @ ( SV103 @ SY427 ) ) )
| ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV186 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV152 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1028,plain,
! [SV44: nat,SV104: hF_Mirabelle_hf > nat,SV187: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV153 @ SV187 )
= $false )
| ( ( ~ ! [SY430: hF_Mirabelle_hf,SY431: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY430 @ SY431 )
| ( ord_less_eq_nat @ ( SV104 @ SY430 ) @ ( SV104 @ SY431 ) ) )
| ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV187 ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV153 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1029,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[976]) ).
thf(1030,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[976]) ).
thf(1031,plain,
! [SV106: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf > $o,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
| ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 ) )
= $false )
| ( ( ~ ! [SY500: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY500 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY500 ) )
| ( SV155 @ SY500 ) )
| ( SV155 @ ( order_1640852850lle_hf @ SV46 ) ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[977]) ).
thf(1032,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[978]) ).
thf(1033,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[978]) ).
thf(1034,plain,
! [SV48: nat,SV190: hF_Mirabelle_hf,SV108: nat,SV157: nat > hF_Mirabelle_hf] :
( ( ( ( SV157 @ SV108 )
= SV190 )
= $false )
| ( ( ~ ! [SY504: nat,SY505: nat] :
( ~ ( ord_less_eq_nat @ SY504 @ SY505 )
| ( ord_le976219883lle_hf @ ( SV157 @ SY504 ) @ ( SV157 @ SY505 ) ) )
| ( ord_le976219883lle_hf @ ( SV157 @ SV48 ) @ SV190 ) )
= $true )
| ( ( ord_less_eq_nat @ SV48 @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1035,plain,
! [SV49: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf,SV191: hF_Mirabelle_hf,SV158: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV158 @ SV191 )
= $false )
| ( ( ~ ! [SY445: hF_Mirabelle_hf,SY446: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY445 @ SY446 )
| ( ord_le976219883lle_hf @ ( SV109 @ SY445 ) @ ( SV109 @ SY446 ) ) )
| ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV191 ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV158 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1036,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV112 @ SV53 )
| ( SV112 != SV53 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(1037,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( SV112 = SV53 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV112 @ SV53 )
| ( SV112 != SV53 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(1038,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( SV114 = SV192 )
= $false )
| ( ( ~ ( ( SV114 != SV192 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[984]) ).
thf(1039,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) )
= $false )
| ( ( ~ ( ( SV114 != SV192 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[984]) ).
thf(1040,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( order_690706045lle_hf @ SV115 ) )
= $false )
| ( ( order_690706045lle_hf @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1041,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) )
= $false )
| ( ( order_690706045lle_hf @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1042,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK4_SY450 @ SV115 ) @ ( sK6_SY549 @ SV115 ) )
| ( ord_le976219883lle_hf @ ( SV115 @ ( sK6_SY549 @ SV115 ) ) @ ( SV115 @ ( sK4_SY450 @ SV115 ) ) ) )
= $false )
| ( ( ~ ( ~ ( order_690706045lle_hf @ SV115 )
| ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[986]) ).
thf(1043,plain,
! [SV61: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ( SV163 @ SV120 )
= SV193 )
= $false )
| ( ( ~ ! [SY510: hF_Mirabelle_hf,SY511: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY510 @ SY511 )
| ( ord_le976219883lle_hf @ ( SV163 @ SY510 ) @ ( SV163 @ SY511 ) ) )
| ( ord_le976219883lle_hf @ ( SV163 @ SV61 ) @ SV193 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1044,plain,
! [SV62: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf,SV121: hF_Mirabelle_hf,SV164: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV164 @ SV121 ) @ SV194 )
= $false )
| ( ( ~ ! [SY513: hF_Mirabelle_hf,SY514: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY513 @ SY514 )
| ( ord_le1310584031lle_hf @ ( SV164 @ SY513 ) @ ( SV164 @ SY514 ) ) )
| ( ord_le1310584031lle_hf @ ( SV164 @ SV62 ) @ SV194 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV62 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1045,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV64 @ SV166 )
| ~ ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1046,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV64 @ SV166 )
| ~ ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[993]) ).
thf(1047,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( SV64 = SV166 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV64 @ SV166 )
| ~ ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[993]) ).
thf(1048,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV65 @ SV167 )
| ~ ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1049,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV65 @ SV167 )
| ~ ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1050,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( SV65 = SV167 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV65 @ SV167 )
| ~ ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1051,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV66 @ SV168 )
| ~ ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1052,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV66 @ SV168 )
| ~ ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1053,plain,
! [SV66: hF_Mirabelle_hf,SV168: hF_Mirabelle_hf] :
( ( ( SV168 = SV66 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV66 @ SV168 )
| ~ ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1054,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1055,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[999]) ).
thf(1056,plain,
! [SV129: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf,SV70: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ! [SY370: hF_Mirabelle_hf,SY371: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY370 @ SY371 )
| ( ord_le976219883lle_hf @ ( SV70 @ SY370 ) @ ( SV70 @ SY371 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SV170 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV129 @ SV170 )
= $false )
| ( ( SV9
= ( SV70 @ SV129 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1057,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV10 @ SV71 )
= $true )
| ( ( ~ ( ~ ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 )
| ( SV10 != SV71 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1001]) ).
thf(1058,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 )
| ( SV10 != SV71 ) )
= $false )
| ( ( SV10 = SV71 )
= $false )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1059,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1060,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1061,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1062,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1006]) ).
thf(1063,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ( SV76 != SV173 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) )
= $false )
| ( ( SV76 = SV173 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1064,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) )
= $true )
| ( ( ~ ( ( SV76 != SV173 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1008]) ).
thf(1065,plain,
! [SV78: hF_Mirabelle_hf,SV17: hF_Mirabelle_hf > $o] :
( ( ( SV17 @ ( sK3_SY378 @ SV78 @ SV17 ) )
= $true )
| ( ( ( order_1640852850lle_hf @ SV17 )
= SV78 )
= $true )
| ( ( SV17 @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1066,plain,
! [SV136: hF_Mirabelle_hf,SV174: hF_Mirabelle_hf,SV20: nat,SV80: hF_Mirabelle_hf > nat] :
( ( ( ~ ! [SY382: hF_Mirabelle_hf,SY383: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY382 @ SY383 )
| ( ord_less_eq_nat @ ( SV80 @ SY382 ) @ ( SV80 @ SY383 ) ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV20 @ ( SV80 @ SV174 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV136 @ SV174 )
= $false )
| ( ( SV20
= ( SV80 @ SV136 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1011]) ).
thf(1067,plain,
! [SV81: hF_Mirabelle_hf,SV175: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ! [SY470: hF_Mirabelle_hf,SY471: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY470 @ SY471 )
| ( ord_le976219883lle_hf @ ( SV137 @ SY470 ) @ ( SV137 @ SY471 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV21 ) @ SV175 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV81 ) @ SV175 )
= $false )
| ( ( ord_le976219883lle_hf @ SV21 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1068,plain,
! [SV138: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV23: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ! [SY390: hF_Mirabelle_hf,SY391: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY390 @ SY391 )
| ( ord_le1310584031lle_hf @ ( SV83 @ SY390 ) @ ( SV83 @ SY391 ) ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SV176 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV138 @ SV176 )
= $false )
| ( ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SV138 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1069,plain,
! [SV84: nat,SV177: hF_Mirabelle_hf,SV24: nat,SV139: nat > hF_Mirabelle_hf] :
( ( ( ~ ! [SY476: nat,SY477: nat] :
( ~ ( ord_less_eq_nat @ SY476 @ SY477 )
| ( ord_le976219883lle_hf @ ( SV139 @ SY476 ) @ ( SV139 @ SY477 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV24 ) @ SV177 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV84 ) @ SV177 )
= $false )
| ( ( ord_less_eq_nat @ SV24 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1014]) ).
thf(1070,plain,
! [SV85: hF_Mirabelle_hf,SV178: nat,SV25: hF_Mirabelle_hf,SV140: hF_Mirabelle_hf > nat] :
( ( ( ~ ! [SY479: hF_Mirabelle_hf,SY480: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY479 @ SY480 )
| ( ord_less_eq_nat @ ( SV140 @ SY479 ) @ ( SV140 @ SY480 ) ) ) )
= $true )
| ( ( ord_less_eq_nat @ ( SV140 @ SV25 ) @ SV178 )
= $true )
| ( ( ord_less_eq_nat @ ( SV140 @ SV85 ) @ SV178 )
= $false )
| ( ( ord_le976219883lle_hf @ SV25 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1015]) ).
thf(1071,plain,
! [SV86: hF_Mirabelle_hf,SV179: nat,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > nat] :
( ( ( ~ ! [SY482: hF_Mirabelle_hf,SY483: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY482 @ SY483 )
| ( ord_less_eq_nat @ ( SV141 @ SY482 ) @ ( SV141 @ SY483 ) ) ) )
= $true )
| ( ( ord_less_eq_nat @ ( SV141 @ SV26 ) @ SV179 )
= $true )
| ( ( ( SV141 @ SV86 )
= SV179 )
= $false )
| ( ( ord_le976219883lle_hf @ SV26 @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1072,plain,
! [SV143: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV89: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ! [SY407: hF_Mirabelle_hf,SY408: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY407 @ SY408 )
| ( ord_le976219883lle_hf @ ( SV89 @ SY407 ) @ ( SV89 @ SY408 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV180 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV143 @ SV180 )
= $false )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV143 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1073,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1074,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1075,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( ( SV93 != SV182 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) )
= $false )
| ( ( SV93 = SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1076,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) )
= $true )
| ( ( ~ ( ( SV93 != SV182 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1021]) ).
thf(1077,plain,
! [SV147: nat,SV183: nat,SV36: hF_Mirabelle_hf,SV96: nat > hF_Mirabelle_hf] :
( ( ( ~ ! [SY415: nat,SY416: nat] :
( ~ ( ord_less_eq_nat @ SY415 @ SY416 )
| ( ord_le976219883lle_hf @ ( SV96 @ SY415 ) @ ( SV96 @ SY416 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SV183 ) )
= $true )
| ( ( ord_less_eq_nat @ SV147 @ SV183 )
= $false )
| ( ( SV36
= ( SV96 @ SV147 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1022]) ).
thf(1078,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) )
= $false )
| ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1079,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1024]) ).
thf(1080,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV41 @ SV101 )
| ( SV41 != SV101 ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1025]) ).
thf(1081,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( SV41 = SV101 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV41 @ SV101 )
| ( SV41 != SV101 ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1025]) ).
thf(1082,plain,
! [SV102: hF_Mirabelle_hf,SV185: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ! [SY491: hF_Mirabelle_hf,SY492: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY491 @ SY492 )
| ( ord_le976219883lle_hf @ ( SV151 @ SY491 ) @ ( SV151 @ SY492 ) ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV42 ) @ SV185 )
= $true )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV102 ) @ SV185 )
= $false )
| ( ( ord_le976219883lle_hf @ SV42 @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1083,plain,
! [SV152: nat,SV186: nat,SV43: hF_Mirabelle_hf,SV103: nat > hF_Mirabelle_hf] :
( ( ( ~ ! [SY426: nat,SY427: nat] :
( ~ ( ord_less_eq_nat @ SY426 @ SY427 )
| ( ord_le976219883lle_hf @ ( SV103 @ SY426 ) @ ( SV103 @ SY427 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV186 ) )
= $true )
| ( ( ord_less_eq_nat @ SV152 @ SV186 )
= $false )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV152 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1027]) ).
thf(1084,plain,
! [SV153: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf,SV44: nat,SV104: hF_Mirabelle_hf > nat] :
( ( ( ~ ! [SY430: hF_Mirabelle_hf,SY431: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY430 @ SY431 )
| ( ord_less_eq_nat @ ( SV104 @ SY430 ) @ ( SV104 @ SY431 ) ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV187 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV153 @ SV187 )
= $false )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV153 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1028]) ).
thf(1085,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1086,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1030]) ).
thf(1087,plain,
! [SV106: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf > $o,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) ) )
= $false )
| ( ( ~ ! [SY500: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY500 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY500 ) )
| ( SV155 @ SY500 ) )
| ( SV155 @ ( order_1640852850lle_hf @ SV46 ) ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1088,plain,
! [SV46: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf > $o] :
( ( ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 )
= $false )
| ( ( ~ ! [SY500: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY500 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY500 ) )
| ( SV155 @ SY500 ) )
| ( SV155 @ ( order_1640852850lle_hf @ SV46 ) ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1089,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1090,plain,
! [SV107: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV107 )
| ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV189 ) )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1033]) ).
thf(1091,plain,
! [SV108: nat,SV190: hF_Mirabelle_hf,SV48: nat,SV157: nat > hF_Mirabelle_hf] :
( ( ( ~ ! [SY504: nat,SY505: nat] :
( ~ ( ord_less_eq_nat @ SY504 @ SY505 )
| ( ord_le976219883lle_hf @ ( SV157 @ SY504 ) @ ( SV157 @ SY505 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV157 @ SV48 ) @ SV190 )
= $true )
| ( ( ( SV157 @ SV108 )
= SV190 )
= $false )
| ( ( ord_less_eq_nat @ SV48 @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1092,plain,
! [SV158: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ! [SY445: hF_Mirabelle_hf,SY446: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY445 @ SY446 )
| ( ord_le976219883lle_hf @ ( SV109 @ SY445 ) @ ( SV109 @ SY446 ) ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV191 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV158 @ SV191 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV158 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1035]) ).
thf(1093,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV112 @ SV53 )
| ( SV112 != SV53 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
= $false )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1094,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV112 @ SV53 )
| ( SV112 != SV53 ) )
= $false )
| ( ( SV112 = SV53 )
= $false )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1095,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ( SV114 != SV192 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) )
= $false )
| ( ( SV114 = SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1096,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) )
= $true )
| ( ( ~ ( ( SV114 != SV192 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1039]) ).
thf(1097,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( order_690706045lle_hf @ SV115 )
= $true )
| ( ( order_690706045lle_hf @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1040]) ).
thf(1098,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) )
= $true )
| ( ( order_690706045lle_hf @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1041]) ).
thf(1099,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK4_SY450 @ SV115 ) @ ( sK6_SY549 @ SV115 ) ) )
= $false )
| ( ( ~ ( ~ ( order_690706045lle_hf @ SV115 )
| ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1042]) ).
thf(1100,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV115 @ ( sK6_SY549 @ SV115 ) ) @ ( SV115 @ ( sK4_SY450 @ SV115 ) ) )
= $false )
| ( ( ~ ( ~ ( order_690706045lle_hf @ SV115 )
| ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1042]) ).
thf(1101,plain,
! [SV120: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ! [SY510: hF_Mirabelle_hf,SY511: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY510 @ SY511 )
| ( ord_le976219883lle_hf @ ( SV163 @ SY510 ) @ ( SV163 @ SY511 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV163 @ SV61 ) @ SV193 )
= $true )
| ( ( ( SV163 @ SV120 )
= SV193 )
= $false )
| ( ( ord_le976219883lle_hf @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1043]) ).
thf(1102,plain,
! [SV121: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV164: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ! [SY513: hF_Mirabelle_hf,SY514: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY513 @ SY514 )
| ( ord_le1310584031lle_hf @ ( SV164 @ SY513 ) @ ( SV164 @ SY514 ) ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ ( SV164 @ SV62 ) @ SV194 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV164 @ SV121 ) @ SV194 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV62 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1044]) ).
thf(1103,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV64 @ SV166 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1104,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1105,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV64 @ SV166 )
| ~ ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1106,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV64 @ SV166 )
| ~ ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) )
= $false )
| ( ( SV64 = SV166 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1107,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV65 @ SV167 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1048]) ).
thf(1108,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1048]) ).
thf(1109,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV65 @ SV167 )
| ~ ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1049]) ).
thf(1110,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV65 @ SV167 )
| ~ ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) )
= $false )
| ( ( SV65 = SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1111,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV66 @ SV168 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1051]) ).
thf(1112,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1051]) ).
thf(1113,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV66 @ SV168 )
| ~ ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1114,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV66 @ SV168 )
| ~ ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) )
= $false )
| ( ( SV168 = SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1115,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1116,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1117,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 ) )
= $true )
| ( ( ~ ( ( SV69 != SV169 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1118,plain,
! [SV129: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf,SV70: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY370: hF_Mirabelle_hf,SY371: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY370 @ SY371 )
| ( ord_le976219883lle_hf @ ( SV70 @ SY370 ) @ ( SV70 @ SY371 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SV170 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV129 @ SV170 )
= $false )
| ( ( SV9
= ( SV70 @ SV129 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1119,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 )
| ( SV10 != SV71 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV10 @ SV71 )
= $true )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1120,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 ) )
= $false )
| ( ( SV10 = SV71 )
= $false )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1058]) ).
thf(1121,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( SV10 != SV71 )
= $false )
| ( ( SV10 = SV71 )
= $false )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1058]) ).
thf(1122,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1059]) ).
thf(1123,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1059]) ).
thf(1124,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 ) )
= $true )
| ( ( ~ ( ( SV73 != SV171 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1060]) ).
thf(1125,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1126,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1127,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 ) )
= $true )
| ( ( ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1062]) ).
thf(1128,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( SV76 != SV173 )
= $false )
| ( ( SV76 = SV173 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1129,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) )
= $false )
| ( ( SV76 = SV173 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1130,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) )
= $true )
| ( ( ~ ( ( SV76 != SV173 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1064]) ).
thf(1131,plain,
! [SV136: hF_Mirabelle_hf,SV174: hF_Mirabelle_hf,SV20: nat,SV80: hF_Mirabelle_hf > nat] :
( ( ( ! [SY382: hF_Mirabelle_hf,SY383: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY382 @ SY383 )
| ( ord_less_eq_nat @ ( SV80 @ SY382 ) @ ( SV80 @ SY383 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV20 @ ( SV80 @ SV174 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV136 @ SV174 )
= $false )
| ( ( SV20
= ( SV80 @ SV136 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1132,plain,
! [SV81: hF_Mirabelle_hf,SV175: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY470: hF_Mirabelle_hf,SY471: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY470 @ SY471 )
| ( ord_le976219883lle_hf @ ( SV137 @ SY470 ) @ ( SV137 @ SY471 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV21 ) @ SV175 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV81 ) @ SV175 )
= $false )
| ( ( ord_le976219883lle_hf @ SV21 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1133,plain,
! [SV138: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV23: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY390: hF_Mirabelle_hf,SY391: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY390 @ SY391 )
| ( ord_le1310584031lle_hf @ ( SV83 @ SY390 ) @ ( SV83 @ SY391 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SV176 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV138 @ SV176 )
= $false )
| ( ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SV138 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1134,plain,
! [SV84: nat,SV177: hF_Mirabelle_hf,SV24: nat,SV139: nat > hF_Mirabelle_hf] :
( ( ( ! [SY476: nat,SY477: nat] :
( ~ ( ord_less_eq_nat @ SY476 @ SY477 )
| ( ord_le976219883lle_hf @ ( SV139 @ SY476 ) @ ( SV139 @ SY477 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV24 ) @ SV177 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV84 ) @ SV177 )
= $false )
| ( ( ord_less_eq_nat @ SV24 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1135,plain,
! [SV85: hF_Mirabelle_hf,SV178: nat,SV25: hF_Mirabelle_hf,SV140: hF_Mirabelle_hf > nat] :
( ( ( ! [SY479: hF_Mirabelle_hf,SY480: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY479 @ SY480 )
| ( ord_less_eq_nat @ ( SV140 @ SY479 ) @ ( SV140 @ SY480 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV140 @ SV25 ) @ SV178 )
= $true )
| ( ( ord_less_eq_nat @ ( SV140 @ SV85 ) @ SV178 )
= $false )
| ( ( ord_le976219883lle_hf @ SV25 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1136,plain,
! [SV86: hF_Mirabelle_hf,SV179: nat,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > nat] :
( ( ( ! [SY482: hF_Mirabelle_hf,SY483: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY482 @ SY483 )
| ( ord_less_eq_nat @ ( SV141 @ SY482 ) @ ( SV141 @ SY483 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV141 @ SV26 ) @ SV179 )
= $true )
| ( ( ( SV141 @ SV86 )
= SV179 )
= $false )
| ( ( ord_le976219883lle_hf @ SV26 @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1137,plain,
! [SV143: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV89: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY407: hF_Mirabelle_hf,SY408: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY407 @ SY408 )
| ( ord_le976219883lle_hf @ ( SV89 @ SY407 ) @ ( SV89 @ SY408 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV180 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV143 @ SV180 )
= $false )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1138,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1073]) ).
thf(1139,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1073]) ).
thf(1140,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV90 != SV181 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1074]) ).
thf(1141,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( SV93 != SV182 )
= $false )
| ( ( SV93 = SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1075]) ).
thf(1142,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) )
= $false )
| ( ( SV93 = SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1075]) ).
thf(1143,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) )
= $true )
| ( ( ~ ( ( SV93 != SV182 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1076]) ).
thf(1144,plain,
! [SV147: nat,SV183: nat,SV36: hF_Mirabelle_hf,SV96: nat > hF_Mirabelle_hf] :
( ( ( ! [SY415: nat,SY416: nat] :
( ~ ( ord_less_eq_nat @ SY415 @ SY416 )
| ( ord_le976219883lle_hf @ ( SV96 @ SY415 ) @ ( SV96 @ SY416 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SV183 ) )
= $true )
| ( ( ord_less_eq_nat @ SV147 @ SV183 )
= $false )
| ( ( SV36
= ( SV96 @ SV147 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1145,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le2017230260lle_hf @ SV100 @ SV184 ) )
= $false )
| ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1146,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) )
= $false )
| ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1147,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1079]) ).
thf(1148,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV41 @ SV101 )
| ( SV41 != SV101 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1149,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV41 @ SV101 )
| ( SV41 != SV101 ) )
= $false )
| ( ( SV41 = SV101 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1150,plain,
! [SV102: hF_Mirabelle_hf,SV185: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY491: hF_Mirabelle_hf,SY492: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY491 @ SY492 )
| ( ord_le976219883lle_hf @ ( SV151 @ SY491 ) @ ( SV151 @ SY492 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV42 ) @ SV185 )
= $true )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV102 ) @ SV185 )
= $false )
| ( ( ord_le976219883lle_hf @ SV42 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1151,plain,
! [SV152: nat,SV186: nat,SV43: hF_Mirabelle_hf,SV103: nat > hF_Mirabelle_hf] :
( ( ( ! [SY426: nat,SY427: nat] :
( ~ ( ord_less_eq_nat @ SY426 @ SY427 )
| ( ord_le976219883lle_hf @ ( SV103 @ SY426 ) @ ( SV103 @ SY427 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV186 ) )
= $true )
| ( ( ord_less_eq_nat @ SV152 @ SV186 )
= $false )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV152 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1152,plain,
! [SV153: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf,SV44: nat,SV104: hF_Mirabelle_hf > nat] :
( ( ( ! [SY430: hF_Mirabelle_hf,SY431: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY430 @ SY431 )
| ( ord_less_eq_nat @ ( SV104 @ SY430 ) @ ( SV104 @ SY431 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV187 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV153 @ SV187 )
= $false )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV153 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1153,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1154,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1155,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 ) )
= $true )
| ( ( ~ ( ( SV188 != SV105 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1086]) ).
thf(1156,plain,
! [SV106: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf > $o,SV46: hF_Mirabelle_hf > $o] :
( ( ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
= $true )
| ( ( ~ ! [SY500: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY500 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY500 ) )
| ( SV155 @ SY500 ) )
| ( SV155 @ ( order_1640852850lle_hf @ SV46 ) ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1087]) ).
thf(1157,plain,
! [SV106: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf > $o,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY500: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY500 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY500 ) )
| ( SV155 @ SY500 ) ) )
= $true )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 )
= $false )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1158,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1159,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1160,plain,
! [SV107: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV107 ) )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1161,plain,
! [SV107: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV189 )
= $false )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1162,plain,
! [SV108: nat,SV190: hF_Mirabelle_hf,SV48: nat,SV157: nat > hF_Mirabelle_hf] :
( ( ( ! [SY504: nat,SY505: nat] :
( ~ ( ord_less_eq_nat @ SY504 @ SY505 )
| ( ord_le976219883lle_hf @ ( SV157 @ SY504 ) @ ( SV157 @ SY505 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV157 @ SV48 ) @ SV190 )
= $true )
| ( ( ( SV157 @ SV108 )
= SV190 )
= $false )
| ( ( ord_less_eq_nat @ SV48 @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1163,plain,
! [SV158: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY445: hF_Mirabelle_hf,SY446: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY445 @ SY446 )
| ( ord_le976219883lle_hf @ ( SV109 @ SY445 ) @ ( SV109 @ SY446 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV191 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV158 @ SV191 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV158 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1092]) ).
thf(1164,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV112 @ SV53 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
= $false )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1093]) ).
thf(1165,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( SV112 != SV53 )
= $false )
| ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
= $false )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1093]) ).
thf(1166,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV112 @ SV53 ) )
= $false )
| ( ( SV112 = SV53 )
= $false )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1167,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( SV112 != SV53 )
= $false )
| ( ( SV112 = SV53 )
= $false )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1168,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( SV114 != SV192 )
= $false )
| ( ( SV114 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1169,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) )
= $false )
| ( ( SV114 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1170,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 ) )
= $true )
| ( ( ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) )
= $true )
| ( ( ~ ( ( SV114 != SV192 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1096]) ).
thf(1171,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV195: hF_Mirabelle_hf] :
( ( ( ! [SY550: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV195 @ SY550 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY550 ) @ ( SV115 @ SV195 ) ) ) )
= $true )
| ( ( order_690706045lle_hf @ SV115 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1098]) ).
thf(1172,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( sK4_SY450 @ SV115 ) @ ( sK6_SY549 @ SV115 ) )
= $true )
| ( ( ~ ( ~ ( order_690706045lle_hf @ SV115 )
| ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1099]) ).
thf(1173,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( order_690706045lle_hf @ SV115 )
| ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV115 @ ( sK6_SY549 @ SV115 ) ) @ ( SV115 @ ( sK4_SY450 @ SV115 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1174,plain,
! [SV120: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY510: hF_Mirabelle_hf,SY511: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY510 @ SY511 )
| ( ord_le976219883lle_hf @ ( SV163 @ SY510 ) @ ( SV163 @ SY511 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV163 @ SV61 ) @ SV193 )
= $true )
| ( ( ( SV163 @ SV120 )
= SV193 )
= $false )
| ( ( ord_le976219883lle_hf @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1175,plain,
! [SV121: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV164: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY513: hF_Mirabelle_hf,SY514: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ SY513 @ SY514 )
| ( ord_le1310584031lle_hf @ ( SV164 @ SY513 ) @ ( SV164 @ SY514 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ ( SV164 @ SV62 ) @ SV194 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV164 @ SV121 ) @ SV194 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV62 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1176,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
= $true )
| ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1103]) ).
thf(1177,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1104]) ).
thf(1178,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV64 @ SV166 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1105]) ).
thf(1179,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1105]) ).
thf(1180,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV64 @ SV166 ) )
= $false )
| ( ( SV64 = SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1181,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) ) )
= $false )
| ( ( SV64 = SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1182,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
= $true )
| ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1107]) ).
thf(1183,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1108]) ).
thf(1184,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV65 @ SV167 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1109]) ).
thf(1185,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1109]) ).
thf(1186,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV65 @ SV167 ) )
= $false )
| ( ( SV65 = SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1110]) ).
thf(1187,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) ) )
= $false )
| ( ( SV65 = SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1110]) ).
thf(1188,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
= $true )
| ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1111]) ).
thf(1189,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1112]) ).
thf(1190,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV66 @ SV168 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1191,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1192,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV66 @ SV168 ) )
= $false )
| ( ( SV168 = SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1193,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ~ ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) ) )
= $false )
| ( ( SV168 = SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1194,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1115]) ).
thf(1195,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1116]) ).
thf(1196,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( ~ ( ( SV69 != SV169 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1197,plain,
! [SV70: hF_Mirabelle_hf > hF_Mirabelle_hf,SV9: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV129: hF_Mirabelle_hf] :
( ( ( ! [SY551: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ ( sK8_SY370 @ SV129 @ SV170 @ SV9 @ SV70 ) @ SY551 )
| ( ord_le976219883lle_hf @ ( SV70 @ ( sK8_SY370 @ SV129 @ SV170 @ SV9 @ SV70 ) ) @ ( SV70 @ SY551 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SV170 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV129 @ SV170 )
= $false )
| ( ( SV9
= ( SV70 @ SV129 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1118]) ).
thf(1198,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV10 @ SV71 )
= $true )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1199,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( SV10 != SV71 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV10 @ SV71 )
= $true )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1200,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 ) )
= $true )
| ( ( SV10 = SV71 )
= $false )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1120]) ).
thf(1201,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( SV10 = SV71 )
= $true )
| ( ( SV10 = SV71 )
= $false )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1121]) ).
thf(1202,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1122]) ).
thf(1203,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1204,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( ~ ( ( SV73 != SV171 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1124]) ).
thf(1205,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1125]) ).
thf(1206,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1126]) ).
thf(1207,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1208,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( SV76 = SV173 )
= $true )
| ( ( SV76 = SV173 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1128]) ).
thf(1209,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) )
= $true )
| ( ( SV76 = SV173 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1129]) ).
thf(1210,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) )
= $true )
| ( ( ~ ( ( SV76 != SV173 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1211,plain,
! [SV80: hF_Mirabelle_hf > nat,SV20: nat,SV174: hF_Mirabelle_hf,SV136: hF_Mirabelle_hf] :
( ( ( ! [SY552: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ ( sK9_SY382 @ SV136 @ SV174 @ SV20 @ SV80 ) @ SY552 )
| ( ord_less_eq_nat @ ( SV80 @ ( sK9_SY382 @ SV136 @ SV174 @ SV20 @ SV80 ) ) @ ( SV80 @ SY552 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV20 @ ( SV80 @ SV174 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV136 @ SV174 )
= $false )
| ( ( SV20
= ( SV80 @ SV136 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1131]) ).
thf(1212,plain,
! [SV137: hF_Mirabelle_hf > hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV175: hF_Mirabelle_hf,SV81: hF_Mirabelle_hf] :
( ( ( ! [SY553: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ ( sK10_SY470 @ SV81 @ SV175 @ SV21 @ SV137 ) @ SY553 )
| ( ord_le976219883lle_hf @ ( SV137 @ ( sK10_SY470 @ SV81 @ SV175 @ SV21 @ SV137 ) ) @ ( SV137 @ SY553 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV21 ) @ SV175 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV81 ) @ SV175 )
= $false )
| ( ( ord_le976219883lle_hf @ SV21 @ SV81 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1132]) ).
thf(1213,plain,
! [SV83: hF_Mirabelle_hf > hF_Mirabelle_hf,SV23: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV138: hF_Mirabelle_hf] :
( ( ( ! [SY554: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ ( sK11_SY390 @ SV138 @ SV176 @ SV23 @ SV83 ) @ SY554 )
| ( ord_le1310584031lle_hf @ ( SV83 @ ( sK11_SY390 @ SV138 @ SV176 @ SV23 @ SV83 ) ) @ ( SV83 @ SY554 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SV176 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV138 @ SV176 )
= $false )
| ( ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SV138 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1133]) ).
thf(1214,plain,
! [SV139: nat > hF_Mirabelle_hf,SV24: nat,SV177: hF_Mirabelle_hf,SV84: nat] :
( ( ( ! [SY555: nat] :
( ~ ( ord_less_eq_nat @ ( sK12_SY476 @ SV84 @ SV177 @ SV24 @ SV139 ) @ SY555 )
| ( ord_le976219883lle_hf @ ( SV139 @ ( sK12_SY476 @ SV84 @ SV177 @ SV24 @ SV139 ) ) @ ( SV139 @ SY555 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV24 ) @ SV177 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV84 ) @ SV177 )
= $false )
| ( ( ord_less_eq_nat @ SV24 @ SV84 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1134]) ).
thf(1215,plain,
! [SV140: hF_Mirabelle_hf > nat,SV25: hF_Mirabelle_hf,SV178: nat,SV85: hF_Mirabelle_hf] :
( ( ( ! [SY556: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ ( sK13_SY479 @ SV85 @ SV178 @ SV25 @ SV140 ) @ SY556 )
| ( ord_less_eq_nat @ ( SV140 @ ( sK13_SY479 @ SV85 @ SV178 @ SV25 @ SV140 ) ) @ ( SV140 @ SY556 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV140 @ SV25 ) @ SV178 )
= $true )
| ( ( ord_less_eq_nat @ ( SV140 @ SV85 ) @ SV178 )
= $false )
| ( ( ord_le976219883lle_hf @ SV25 @ SV85 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1135]) ).
thf(1216,plain,
! [SV141: hF_Mirabelle_hf > nat,SV26: hF_Mirabelle_hf,SV179: nat,SV86: hF_Mirabelle_hf] :
( ( ( ! [SY557: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ ( sK14_SY482 @ SV86 @ SV179 @ SV26 @ SV141 ) @ SY557 )
| ( ord_less_eq_nat @ ( SV141 @ ( sK14_SY482 @ SV86 @ SV179 @ SV26 @ SV141 ) ) @ ( SV141 @ SY557 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV141 @ SV26 ) @ SV179 )
= $true )
| ( ( ( SV141 @ SV86 )
= SV179 )
= $false )
| ( ( ord_le976219883lle_hf @ SV26 @ SV86 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1136]) ).
thf(1217,plain,
! [SV89: hF_Mirabelle_hf > hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf,SV143: hF_Mirabelle_hf] :
( ( ( ! [SY558: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ ( sK15_SY407 @ SV143 @ SV180 @ SV29 @ SV89 ) @ SY558 )
| ( ord_le976219883lle_hf @ ( SV89 @ ( sK15_SY407 @ SV143 @ SV180 @ SV29 @ SV89 ) ) @ ( SV89 @ SY558 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV180 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV143 @ SV180 )
= $false )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV143 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1137]) ).
thf(1218,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1219,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1139]) ).
thf(1220,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( ~ ( ( SV90 != SV181 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1221,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( SV93 = SV182 )
= $true )
| ( ( SV93 = SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1222,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) )
= $true )
| ( ( SV93 = SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1223,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) )
= $true )
| ( ( ~ ( ( SV93 != SV182 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1224,plain,
! [SV96: nat > hF_Mirabelle_hf,SV36: hF_Mirabelle_hf,SV183: nat,SV147: nat] :
( ( ( ! [SY559: nat] :
( ~ ( ord_less_eq_nat @ ( sK16_SY415 @ SV147 @ SV183 @ SV36 @ SV96 ) @ SY559 )
| ( ord_le976219883lle_hf @ ( SV96 @ ( sK16_SY415 @ SV147 @ SV183 @ SV36 @ SV96 ) ) @ ( SV96 @ SY559 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SV183 ) )
= $true )
| ( ( ord_less_eq_nat @ SV147 @ SV183 )
= $false )
| ( ( SV36
= ( SV96 @ SV147 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1144]) ).
thf(1225,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= $true )
| ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1226,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) )
= $true )
| ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1146]) ).
thf(1227,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1228,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV41 @ SV101 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1229,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( SV41 != SV101 )
= $false )
| ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1230,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV41 @ SV101 ) )
= $false )
| ( ( SV41 = SV101 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1149]) ).
thf(1231,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( SV41 != SV101 )
= $false )
| ( ( SV41 = SV101 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1149]) ).
thf(1232,plain,
! [SV151: hF_Mirabelle_hf > hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV185: hF_Mirabelle_hf,SV102: hF_Mirabelle_hf] :
( ( ( ! [SY560: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ ( sK17_SY491 @ SV102 @ SV185 @ SV42 @ SV151 ) @ SY560 )
| ( ord_le976219883lle_hf @ ( SV151 @ ( sK17_SY491 @ SV102 @ SV185 @ SV42 @ SV151 ) ) @ ( SV151 @ SY560 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV42 ) @ SV185 )
= $true )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV102 ) @ SV185 )
= $false )
| ( ( ord_le976219883lle_hf @ SV42 @ SV102 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1150]) ).
thf(1233,plain,
! [SV103: nat > hF_Mirabelle_hf,SV43: hF_Mirabelle_hf,SV186: nat,SV152: nat] :
( ( ( ! [SY561: nat] :
( ~ ( ord_less_eq_nat @ ( sK18_SY426 @ SV152 @ SV186 @ SV43 @ SV103 ) @ SY561 )
| ( ord_le976219883lle_hf @ ( SV103 @ ( sK18_SY426 @ SV152 @ SV186 @ SV43 @ SV103 ) ) @ ( SV103 @ SY561 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV186 ) )
= $true )
| ( ( ord_less_eq_nat @ SV152 @ SV186 )
= $false )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV152 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1151]) ).
thf(1234,plain,
! [SV104: hF_Mirabelle_hf > nat,SV44: nat,SV187: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf] :
( ( ( ! [SY562: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ ( sK19_SY430 @ SV153 @ SV187 @ SV44 @ SV104 ) @ SY562 )
| ( ord_less_eq_nat @ ( SV104 @ ( sK19_SY430 @ SV153 @ SV187 @ SV44 @ SV104 ) ) @ ( SV104 @ SY562 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV187 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV153 @ SV187 )
= $false )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV153 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1152]) ).
thf(1235,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1153]) ).
thf(1236,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1154]) ).
thf(1237,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( ~ ( ( SV188 != SV105 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1238,plain,
! [SV106: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf > $o,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY500: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY500 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY500 ) )
| ( SV155 @ SY500 ) ) )
= $true )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1239,plain,
! [SV106: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf > $o,SV46: hF_Mirabelle_hf > $o] :
( ( ( ! [SY500: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY500 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY500 ) )
| ( SV155 @ SY500 ) ) )
= $false )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 )
= $false )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1240,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= $true )
| ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1158]) ).
thf(1241,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1159]) ).
thf(1242,plain,
! [SV107: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV107 )
= $true )
| ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1243,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1244,plain,
! [SV157: nat > hF_Mirabelle_hf,SV48: nat,SV190: hF_Mirabelle_hf,SV108: nat] :
( ( ( ! [SY563: nat] :
( ~ ( ord_less_eq_nat @ ( sK20_SY504 @ SV108 @ SV190 @ SV48 @ SV157 ) @ SY563 )
| ( ord_le976219883lle_hf @ ( SV157 @ ( sK20_SY504 @ SV108 @ SV190 @ SV48 @ SV157 ) ) @ ( SV157 @ SY563 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV157 @ SV48 ) @ SV190 )
= $true )
| ( ( ( SV157 @ SV108 )
= SV190 )
= $false )
| ( ( ord_less_eq_nat @ SV48 @ SV108 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1162]) ).
thf(1245,plain,
! [SV109: hF_Mirabelle_hf > hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf,SV158: hF_Mirabelle_hf] :
( ( ( ! [SY564: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ ( sK21_SY445 @ SV158 @ SV191 @ SV49 @ SV109 ) @ SY564 )
| ( ord_le976219883lle_hf @ ( SV109 @ ( sK21_SY445 @ SV158 @ SV191 @ SV49 @ SV109 ) ) @ ( SV109 @ SY564 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV191 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV158 @ SV191 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV158 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1163]) ).
thf(1246,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
= $true )
| ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
= $false )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1247,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( SV112 = SV53 )
= $true )
| ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
= $false )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1248,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV112 @ SV53 )
= $true )
| ( ( SV112 = SV53 )
= $false )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1166]) ).
thf(1249,plain,
! [SV53: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf] :
( ( ( SV112 = SV53 )
= $true )
| ( ( SV112 = SV53 )
= $false )
| ( ( ord_le976219883lle_hf @ SV53 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1250,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( SV114 = SV192 )
= $true )
| ( ( SV114 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1251,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) )
= $true )
| ( ( SV114 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1252,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $false )
| ( ( ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) )
= $true )
| ( ( ~ ( ( SV114 != SV192 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1253,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV196: hF_Mirabelle_hf,SV195: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV195 @ SV196 )
| ( ord_le976219883lle_hf @ ( SV115 @ SV196 ) @ ( SV115 @ SV195 ) ) )
= $true )
| ( ( order_690706045lle_hf @ SV115 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1171]) ).
thf(1254,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( order_690706045lle_hf @ SV115 )
| ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( sK4_SY450 @ SV115 ) @ ( sK6_SY549 @ SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1255,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( order_690706045lle_hf @ SV115 ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV115 @ ( sK6_SY549 @ SV115 ) ) @ ( SV115 @ ( sK4_SY450 @ SV115 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1173]) ).
thf(1256,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV115 @ ( sK6_SY549 @ SV115 ) ) @ ( SV115 @ ( sK4_SY450 @ SV115 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1173]) ).
thf(1257,plain,
! [SV163: hF_Mirabelle_hf > hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf] :
( ( ( ! [SY565: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ ( sK22_SY510 @ SV120 @ SV193 @ SV61 @ SV163 ) @ SY565 )
| ( ord_le976219883lle_hf @ ( SV163 @ ( sK22_SY510 @ SV120 @ SV193 @ SV61 @ SV163 ) ) @ ( SV163 @ SY565 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV163 @ SV61 ) @ SV193 )
= $true )
| ( ( ( SV163 @ SV120 )
= SV193 )
= $false )
| ( ( ord_le976219883lle_hf @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1174]) ).
thf(1258,plain,
! [SV164: hF_Mirabelle_hf > hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf,SV121: hF_Mirabelle_hf] :
( ( ( ! [SY566: hF_Mirabelle_hf] :
( ~ ( ord_le1310584031lle_hf @ ( sK23_SY513 @ SV121 @ SV194 @ SV62 @ SV164 ) @ SY566 )
| ( ord_le1310584031lle_hf @ ( SV164 @ ( sK23_SY513 @ SV121 @ SV194 @ SV62 @ SV164 ) ) @ ( SV164 @ SY566 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ ( SV164 @ SV62 ) @ SV194 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV164 @ SV121 ) @ SV194 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV62 @ SV121 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1175]) ).
thf(1259,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
= $true )
| ( ( SV64 = SV166 )
= $true )
| ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1177]) ).
thf(1260,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1261,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1179]) ).
thf(1262,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV64 @ SV166 )
= $true )
| ( ( SV64 = SV166 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1263,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
| ( SV64 = SV166 ) )
= $true )
| ( ( SV64 = SV166 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1181]) ).
thf(1264,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
= $true )
| ( ( SV65 = SV167 )
= $true )
| ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1183]) ).
thf(1265,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1184]) ).
thf(1266,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1185]) ).
thf(1267,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV65 @ SV167 )
= $true )
| ( ( SV65 = SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1186]) ).
thf(1268,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
| ( SV65 = SV167 ) )
= $true )
| ( ( SV65 = SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1269,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
= $true )
| ( ( SV168 = SV66 )
= $true )
| ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1270,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1190]) ).
thf(1271,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1191]) ).
thf(1272,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV66 @ SV168 )
= $true )
| ( ( SV168 = SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1192]) ).
thf(1273,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
| ( SV168 = SV66 ) )
= $true )
| ( ( SV168 = SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1193]) ).
thf(1274,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1275,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( SV69 != SV169 )
= $false )
| ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1276,plain,
! [SV70: hF_Mirabelle_hf > hF_Mirabelle_hf,SV9: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV129: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK8_SY370 @ SV129 @ SV170 @ SV9 @ SV70 ) @ ( sK24_SY551 @ SV70 @ SV9 @ SV170 @ SV129 ) )
| ( ord_le976219883lle_hf @ ( SV70 @ ( sK8_SY370 @ SV129 @ SV170 @ SV9 @ SV70 ) ) @ ( SV70 @ ( sK24_SY551 @ SV70 @ SV9 @ SV170 @ SV129 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SV170 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV129 @ SV170 )
= $false )
| ( ( SV9
= ( SV70 @ SV129 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1197]) ).
thf(1277,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV10 @ SV71 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV10 @ SV71 )
= $true )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1278,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( SV10 = SV71 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV10 @ SV71 )
= $true )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1279,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV10 @ SV71 )
= $false )
| ( ( SV10 = SV71 )
= $false )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1280,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1281,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( SV73 != SV171 )
= $false )
| ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1282,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1206]) ).
thf(1283,plain,
! [SV75: hF_Mirabelle_hf,SV172: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1284,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) )
= $false )
| ( ( SV76 = SV173 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1285,plain,
! [SV76: hF_Mirabelle_hf,SV173: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV173 @ SV76 )
= $false )
| ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $false )
| ( ( ~ ( ( SV76 != SV173 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1286,plain,
! [SV80: hF_Mirabelle_hf > nat,SV20: nat,SV174: hF_Mirabelle_hf,SV136: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK9_SY382 @ SV136 @ SV174 @ SV20 @ SV80 ) @ ( sK25_SY552 @ SV80 @ SV20 @ SV174 @ SV136 ) )
| ( ord_less_eq_nat @ ( SV80 @ ( sK9_SY382 @ SV136 @ SV174 @ SV20 @ SV80 ) ) @ ( SV80 @ ( sK25_SY552 @ SV80 @ SV20 @ SV174 @ SV136 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV20 @ ( SV80 @ SV174 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV136 @ SV174 )
= $false )
| ( ( SV20
= ( SV80 @ SV136 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1211]) ).
thf(1287,plain,
! [SV137: hF_Mirabelle_hf > hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV175: hF_Mirabelle_hf,SV81: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK10_SY470 @ SV81 @ SV175 @ SV21 @ SV137 ) @ ( sK26_SY553 @ SV137 @ SV21 @ SV175 @ SV81 ) )
| ( ord_le976219883lle_hf @ ( SV137 @ ( sK10_SY470 @ SV81 @ SV175 @ SV21 @ SV137 ) ) @ ( SV137 @ ( sK26_SY553 @ SV137 @ SV21 @ SV175 @ SV81 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV21 ) @ SV175 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV81 ) @ SV175 )
= $false )
| ( ( ord_le976219883lle_hf @ SV21 @ SV81 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1212]) ).
thf(1288,plain,
! [SV83: hF_Mirabelle_hf > hF_Mirabelle_hf,SV23: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV138: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ ( sK11_SY390 @ SV138 @ SV176 @ SV23 @ SV83 ) @ ( sK27_SY554 @ SV83 @ SV23 @ SV176 @ SV138 ) )
| ( ord_le1310584031lle_hf @ ( SV83 @ ( sK11_SY390 @ SV138 @ SV176 @ SV23 @ SV83 ) ) @ ( SV83 @ ( sK27_SY554 @ SV83 @ SV23 @ SV176 @ SV138 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SV176 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV138 @ SV176 )
= $false )
| ( ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SV138 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1213]) ).
thf(1289,plain,
! [SV139: nat > hF_Mirabelle_hf,SV24: nat,SV177: hF_Mirabelle_hf,SV84: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK12_SY476 @ SV84 @ SV177 @ SV24 @ SV139 ) @ ( sK28_SY555 @ SV139 @ SV24 @ SV177 @ SV84 ) )
| ( ord_le976219883lle_hf @ ( SV139 @ ( sK12_SY476 @ SV84 @ SV177 @ SV24 @ SV139 ) ) @ ( SV139 @ ( sK28_SY555 @ SV139 @ SV24 @ SV177 @ SV84 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV24 ) @ SV177 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV84 ) @ SV177 )
= $false )
| ( ( ord_less_eq_nat @ SV24 @ SV84 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1214]) ).
thf(1290,plain,
! [SV140: hF_Mirabelle_hf > nat,SV25: hF_Mirabelle_hf,SV178: nat,SV85: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK13_SY479 @ SV85 @ SV178 @ SV25 @ SV140 ) @ ( sK29_SY556 @ SV140 @ SV25 @ SV178 @ SV85 ) )
| ( ord_less_eq_nat @ ( SV140 @ ( sK13_SY479 @ SV85 @ SV178 @ SV25 @ SV140 ) ) @ ( SV140 @ ( sK29_SY556 @ SV140 @ SV25 @ SV178 @ SV85 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV140 @ SV25 ) @ SV178 )
= $true )
| ( ( ord_less_eq_nat @ ( SV140 @ SV85 ) @ SV178 )
= $false )
| ( ( ord_le976219883lle_hf @ SV25 @ SV85 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1215]) ).
thf(1291,plain,
! [SV141: hF_Mirabelle_hf > nat,SV26: hF_Mirabelle_hf,SV179: nat,SV86: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK14_SY482 @ SV86 @ SV179 @ SV26 @ SV141 ) @ ( sK30_SY557 @ SV141 @ SV26 @ SV179 @ SV86 ) )
| ( ord_less_eq_nat @ ( SV141 @ ( sK14_SY482 @ SV86 @ SV179 @ SV26 @ SV141 ) ) @ ( SV141 @ ( sK30_SY557 @ SV141 @ SV26 @ SV179 @ SV86 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV141 @ SV26 ) @ SV179 )
= $true )
| ( ( ( SV141 @ SV86 )
= SV179 )
= $false )
| ( ( ord_le976219883lle_hf @ SV26 @ SV86 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1216]) ).
thf(1292,plain,
! [SV89: hF_Mirabelle_hf > hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf,SV143: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK15_SY407 @ SV143 @ SV180 @ SV29 @ SV89 ) @ ( sK31_SY558 @ SV89 @ SV29 @ SV180 @ SV143 ) )
| ( ord_le976219883lle_hf @ ( SV89 @ ( sK15_SY407 @ SV143 @ SV180 @ SV29 @ SV89 ) ) @ ( SV89 @ ( sK31_SY558 @ SV89 @ SV29 @ SV180 @ SV143 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV180 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV143 @ SV180 )
= $false )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV143 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1217]) ).
thf(1293,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1219]) ).
thf(1294,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( SV90 != SV181 )
= $false )
| ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1220]) ).
thf(1295,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) )
= $false )
| ( ( SV93 = SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1296,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV93 @ SV182 )
= $false )
| ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $false )
| ( ( ~ ( ( SV93 != SV182 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1297,plain,
! [SV96: nat > hF_Mirabelle_hf,SV36: hF_Mirabelle_hf,SV183: nat,SV147: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK16_SY415 @ SV147 @ SV183 @ SV36 @ SV96 ) @ ( sK32_SY559 @ SV96 @ SV36 @ SV183 @ SV147 ) )
| ( ord_le976219883lle_hf @ ( SV96 @ ( sK16_SY415 @ SV147 @ SV183 @ SV36 @ SV96 ) ) @ ( SV96 @ ( sK32_SY559 @ SV96 @ SV36 @ SV183 @ SV147 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SV183 ) )
= $true )
| ( ( ord_less_eq_nat @ SV147 @ SV183 )
= $false )
| ( ( SV36
= ( SV96 @ SV147 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1224]) ).
thf(1298,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) )
= $false )
| ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1299,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $false )
| ( ( ~ ( ~ ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1227]) ).
thf(1300,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
= $true )
| ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1228]) ).
thf(1301,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( SV41 = SV101 )
= $true )
| ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1229]) ).
thf(1302,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV41 @ SV101 )
= $true )
| ( ( SV41 = SV101 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1303,plain,
! [SV101: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( SV41 = SV101 )
= $true )
| ( ( SV41 = SV101 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV41 @ SV101 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1231]) ).
thf(1304,plain,
! [SV151: hF_Mirabelle_hf > hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV185: hF_Mirabelle_hf,SV102: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK17_SY491 @ SV102 @ SV185 @ SV42 @ SV151 ) @ ( sK33_SY560 @ SV151 @ SV42 @ SV185 @ SV102 ) )
| ( ord_le976219883lle_hf @ ( SV151 @ ( sK17_SY491 @ SV102 @ SV185 @ SV42 @ SV151 ) ) @ ( SV151 @ ( sK33_SY560 @ SV151 @ SV42 @ SV185 @ SV102 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV42 ) @ SV185 )
= $true )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV102 ) @ SV185 )
= $false )
| ( ( ord_le976219883lle_hf @ SV42 @ SV102 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1232]) ).
thf(1305,plain,
! [SV103: nat > hF_Mirabelle_hf,SV43: hF_Mirabelle_hf,SV186: nat,SV152: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK18_SY426 @ SV152 @ SV186 @ SV43 @ SV103 ) @ ( sK34_SY561 @ SV103 @ SV43 @ SV186 @ SV152 ) )
| ( ord_le976219883lle_hf @ ( SV103 @ ( sK18_SY426 @ SV152 @ SV186 @ SV43 @ SV103 ) ) @ ( SV103 @ ( sK34_SY561 @ SV103 @ SV43 @ SV186 @ SV152 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV186 ) )
= $true )
| ( ( ord_less_eq_nat @ SV152 @ SV186 )
= $false )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV152 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1233]) ).
thf(1306,plain,
! [SV104: hF_Mirabelle_hf > nat,SV44: nat,SV187: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK19_SY430 @ SV153 @ SV187 @ SV44 @ SV104 ) @ ( sK35_SY562 @ SV104 @ SV44 @ SV187 @ SV153 ) )
| ( ord_less_eq_nat @ ( SV104 @ ( sK19_SY430 @ SV153 @ SV187 @ SV44 @ SV104 ) ) @ ( SV104 @ ( sK35_SY562 @ SV104 @ SV44 @ SV187 @ SV153 ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV187 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV153 @ SV187 )
= $false )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV153 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1234]) ).
thf(1307,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1308,plain,
! [SV105: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( SV188 != SV105 )
= $false )
| ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1309,plain,
! [SV106: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf > $o,SV46: hF_Mirabelle_hf > $o] :
( ( ( ! [SY500: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY500 )
| ~ ! [SY322: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY322 )
| ( ord_le976219883lle_hf @ SY322 @ SY500 ) )
| ( SV155 @ SY500 ) ) )
= $false )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1310,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV46 @ ( sK36_SY500 @ SV106 @ SV155 @ SV46 ) )
| ~ ! [SY567: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY567 )
| ( ord_le976219883lle_hf @ SY567 @ ( sK36_SY500 @ SV106 @ SV155 @ SV46 ) ) )
| ( SV155 @ ( sK36_SY500 @ SV106 @ SV155 @ SV46 ) ) )
= $false )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 )
= $false )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1239]) ).
thf(1311,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf,SV197: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV197 @ SV107 )
| ( hF_Mirabelle_hmem @ SV197 @ SV189 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1241]) ).
thf(1312,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 )
| ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1313,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV189 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1243]) ).
thf(1314,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV189 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1243]) ).
thf(1315,plain,
! [SV157: nat > hF_Mirabelle_hf,SV48: nat,SV190: hF_Mirabelle_hf,SV108: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK20_SY504 @ SV108 @ SV190 @ SV48 @ SV157 ) @ ( sK37_SY563 @ SV157 @ SV48 @ SV190 @ SV108 ) )
| ( ord_le976219883lle_hf @ ( SV157 @ ( sK20_SY504 @ SV108 @ SV190 @ SV48 @ SV157 ) ) @ ( SV157 @ ( sK37_SY563 @ SV157 @ SV48 @ SV190 @ SV108 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV157 @ SV48 ) @ SV190 )
= $true )
| ( ( ( SV157 @ SV108 )
= SV190 )
= $false )
| ( ( ord_less_eq_nat @ SV48 @ SV108 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1244]) ).
thf(1316,plain,
! [SV109: hF_Mirabelle_hf > hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf,SV158: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK21_SY445 @ SV158 @ SV191 @ SV49 @ SV109 ) @ ( sK38_SY564 @ SV109 @ SV49 @ SV191 @ SV158 ) )
| ( ord_le976219883lle_hf @ ( SV109 @ ( sK21_SY445 @ SV158 @ SV191 @ SV49 @ SV109 ) ) @ ( SV109 @ ( sK38_SY564 @ SV109 @ SV49 @ SV191 @ SV158 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV191 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV158 @ SV191 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV158 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1245]) ).
thf(1317,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) )
= $false )
| ( ( SV114 = SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1318,plain,
! [SV114: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV192 @ SV114 )
= $false )
| ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $false )
| ( ( ~ ( ( SV114 != SV192 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1319,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV196: hF_Mirabelle_hf,SV195: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV195 @ SV196 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV115 @ SV196 ) @ ( SV115 @ SV195 ) )
= $true )
| ( ( order_690706045lle_hf @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1253]) ).
thf(1320,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( order_690706045lle_hf @ SV115 ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( sK4_SY450 @ SV115 ) @ ( sK6_SY549 @ SV115 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1254]) ).
thf(1321,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( sK4_SY450 @ SV115 ) @ ( sK6_SY549 @ SV115 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1254]) ).
thf(1322,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( order_690706045lle_hf @ SV115 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV115 @ ( sK6_SY549 @ SV115 ) ) @ ( SV115 @ ( sK4_SY450 @ SV115 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1255]) ).
thf(1323,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV115 @ ( sK6_SY549 @ SV115 ) ) @ ( SV115 @ ( sK4_SY450 @ SV115 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1256]) ).
thf(1324,plain,
! [SV163: hF_Mirabelle_hf > hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK22_SY510 @ SV120 @ SV193 @ SV61 @ SV163 ) @ ( sK39_SY565 @ SV163 @ SV61 @ SV193 @ SV120 ) )
| ( ord_le976219883lle_hf @ ( SV163 @ ( sK22_SY510 @ SV120 @ SV193 @ SV61 @ SV163 ) ) @ ( SV163 @ ( sK39_SY565 @ SV163 @ SV61 @ SV193 @ SV120 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV163 @ SV61 ) @ SV193 )
= $true )
| ( ( ( SV163 @ SV120 )
= SV193 )
= $false )
| ( ( ord_le976219883lle_hf @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1257]) ).
thf(1325,plain,
! [SV164: hF_Mirabelle_hf > hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf,SV121: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ ( sK23_SY513 @ SV121 @ SV194 @ SV62 @ SV164 ) @ ( sK40_SY566 @ SV164 @ SV62 @ SV194 @ SV121 ) )
| ( ord_le1310584031lle_hf @ ( SV164 @ ( sK23_SY513 @ SV121 @ SV194 @ SV62 @ SV164 ) ) @ ( SV164 @ ( sK40_SY566 @ SV164 @ SV62 @ SV194 @ SV121 ) ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ ( SV164 @ SV62 ) @ SV194 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV164 @ SV121 ) @ SV194 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV62 @ SV121 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1258]) ).
thf(1326,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
= $true )
| ( ( SV64 = SV166 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1261]) ).
thf(1327,plain,
! [SV166: hF_Mirabelle_hf,SV64: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV64 @ SV166 )
= $true )
| ( ( SV64 = SV166 )
= $true )
| ( ( SV64 = SV166 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1263]) ).
thf(1328,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
= $true )
| ( ( SV65 = SV167 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1266]) ).
thf(1329,plain,
! [SV167: hF_Mirabelle_hf,SV65: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV65 @ SV167 )
= $true )
| ( ( SV65 = SV167 )
= $true )
| ( ( SV65 = SV167 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1268]) ).
thf(1330,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
= $true )
| ( ( SV168 = SV66 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1271]) ).
thf(1331,plain,
! [SV168: hF_Mirabelle_hf,SV66: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV66 @ SV168 )
= $true )
| ( ( SV168 = SV66 )
= $true )
| ( ( SV168 = SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1273]) ).
thf(1332,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1333,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV69 != SV169 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1334,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( SV69 = SV169 )
= $true )
| ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1275]) ).
thf(1335,plain,
! [SV70: hF_Mirabelle_hf > hF_Mirabelle_hf,SV9: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV129: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK8_SY370 @ SV129 @ SV170 @ SV9 @ SV70 ) @ ( sK24_SY551 @ SV70 @ SV9 @ SV170 @ SV129 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SV170 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV129 @ SV170 )
= $false )
| ( ( SV9
= ( SV70 @ SV129 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1336,plain,
! [SV9: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV129: hF_Mirabelle_hf,SV70: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV70 @ ( sK8_SY370 @ SV129 @ SV170 @ SV9 @ SV70 ) ) @ ( SV70 @ ( sK24_SY551 @ SV70 @ SV9 @ SV170 @ SV129 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SV170 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV129 @ SV170 )
= $false )
| ( ( SV9
= ( SV70 @ SV129 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1337,plain,
! [SV71: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV10 @ SV71 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV10 @ SV71 )
= $true )
| ( ( ord_le976219883lle_hf @ SV10 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1338,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1280]) ).
thf(1339,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV73 != SV171 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1280]) ).
thf(1340,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( SV73 = SV171 )
= $true )
| ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1281]) ).
thf(1341,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1282]) ).
thf(1342,plain,
! [SV75: hF_Mirabelle_hf,SV172: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1282]) ).
thf(1343,plain,
! [SV75: hF_Mirabelle_hf,SV172: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $true )
| ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1283]) ).
thf(1344,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 ) )
= $false )
| ( ( SV76 = SV173 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1345,plain,
! [SV76: hF_Mirabelle_hf,SV173: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) )
= $false )
| ( ( SV76 = SV173 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1346,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ( SV76 != SV173 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $false )
| ( ( ord_le976219883lle_hf @ SV173 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1285]) ).
thf(1347,plain,
! [SV80: hF_Mirabelle_hf > nat,SV20: nat,SV174: hF_Mirabelle_hf,SV136: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK9_SY382 @ SV136 @ SV174 @ SV20 @ SV80 ) @ ( sK25_SY552 @ SV80 @ SV20 @ SV174 @ SV136 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV20 @ ( SV80 @ SV174 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV136 @ SV174 )
= $false )
| ( ( SV20
= ( SV80 @ SV136 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1286]) ).
thf(1348,plain,
! [SV20: nat,SV174: hF_Mirabelle_hf,SV136: hF_Mirabelle_hf,SV80: hF_Mirabelle_hf > nat] :
( ( ( ord_less_eq_nat @ ( SV80 @ ( sK9_SY382 @ SV136 @ SV174 @ SV20 @ SV80 ) ) @ ( SV80 @ ( sK25_SY552 @ SV80 @ SV20 @ SV174 @ SV136 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV20 @ ( SV80 @ SV174 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV136 @ SV174 )
= $false )
| ( ( SV20
= ( SV80 @ SV136 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1286]) ).
thf(1349,plain,
! [SV137: hF_Mirabelle_hf > hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV175: hF_Mirabelle_hf,SV81: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK10_SY470 @ SV81 @ SV175 @ SV21 @ SV137 ) @ ( sK26_SY553 @ SV137 @ SV21 @ SV175 @ SV81 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV21 ) @ SV175 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV81 ) @ SV175 )
= $false )
| ( ( ord_le976219883lle_hf @ SV21 @ SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1350,plain,
! [SV21: hF_Mirabelle_hf,SV175: hF_Mirabelle_hf,SV81: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV137 @ ( sK10_SY470 @ SV81 @ SV175 @ SV21 @ SV137 ) ) @ ( SV137 @ ( sK26_SY553 @ SV137 @ SV21 @ SV175 @ SV81 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV21 ) @ SV175 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV81 ) @ SV175 )
= $false )
| ( ( ord_le976219883lle_hf @ SV21 @ SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1351,plain,
! [SV83: hF_Mirabelle_hf > hF_Mirabelle_hf,SV23: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV138: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ ( sK11_SY390 @ SV138 @ SV176 @ SV23 @ SV83 ) @ ( sK27_SY554 @ SV83 @ SV23 @ SV176 @ SV138 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SV176 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV138 @ SV176 )
= $false )
| ( ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SV138 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1288]) ).
thf(1352,plain,
! [SV23: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV138: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ ( SV83 @ ( sK11_SY390 @ SV138 @ SV176 @ SV23 @ SV83 ) ) @ ( SV83 @ ( sK27_SY554 @ SV83 @ SV23 @ SV176 @ SV138 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SV176 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV138 @ SV176 )
= $false )
| ( ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SV138 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1288]) ).
thf(1353,plain,
! [SV139: nat > hF_Mirabelle_hf,SV24: nat,SV177: hF_Mirabelle_hf,SV84: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK12_SY476 @ SV84 @ SV177 @ SV24 @ SV139 ) @ ( sK28_SY555 @ SV139 @ SV24 @ SV177 @ SV84 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV24 ) @ SV177 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV84 ) @ SV177 )
= $false )
| ( ( ord_less_eq_nat @ SV24 @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1289]) ).
thf(1354,plain,
! [SV24: nat,SV177: hF_Mirabelle_hf,SV84: nat,SV139: nat > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV139 @ ( sK12_SY476 @ SV84 @ SV177 @ SV24 @ SV139 ) ) @ ( SV139 @ ( sK28_SY555 @ SV139 @ SV24 @ SV177 @ SV84 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV24 ) @ SV177 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV84 ) @ SV177 )
= $false )
| ( ( ord_less_eq_nat @ SV24 @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1289]) ).
thf(1355,plain,
! [SV140: hF_Mirabelle_hf > nat,SV25: hF_Mirabelle_hf,SV178: nat,SV85: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK13_SY479 @ SV85 @ SV178 @ SV25 @ SV140 ) @ ( sK29_SY556 @ SV140 @ SV25 @ SV178 @ SV85 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV140 @ SV25 ) @ SV178 )
= $true )
| ( ( ord_less_eq_nat @ ( SV140 @ SV85 ) @ SV178 )
= $false )
| ( ( ord_le976219883lle_hf @ SV25 @ SV85 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1290]) ).
thf(1356,plain,
! [SV25: hF_Mirabelle_hf,SV178: nat,SV85: hF_Mirabelle_hf,SV140: hF_Mirabelle_hf > nat] :
( ( ( ord_less_eq_nat @ ( SV140 @ ( sK13_SY479 @ SV85 @ SV178 @ SV25 @ SV140 ) ) @ ( SV140 @ ( sK29_SY556 @ SV140 @ SV25 @ SV178 @ SV85 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV140 @ SV25 ) @ SV178 )
= $true )
| ( ( ord_less_eq_nat @ ( SV140 @ SV85 ) @ SV178 )
= $false )
| ( ( ord_le976219883lle_hf @ SV25 @ SV85 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1290]) ).
thf(1357,plain,
! [SV141: hF_Mirabelle_hf > nat,SV26: hF_Mirabelle_hf,SV179: nat,SV86: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK14_SY482 @ SV86 @ SV179 @ SV26 @ SV141 ) @ ( sK30_SY557 @ SV141 @ SV26 @ SV179 @ SV86 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV141 @ SV26 ) @ SV179 )
= $true )
| ( ( ( SV141 @ SV86 )
= SV179 )
= $false )
| ( ( ord_le976219883lle_hf @ SV26 @ SV86 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1291]) ).
thf(1358,plain,
! [SV26: hF_Mirabelle_hf,SV179: nat,SV86: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > nat] :
( ( ( ord_less_eq_nat @ ( SV141 @ ( sK14_SY482 @ SV86 @ SV179 @ SV26 @ SV141 ) ) @ ( SV141 @ ( sK30_SY557 @ SV141 @ SV26 @ SV179 @ SV86 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( SV141 @ SV26 ) @ SV179 )
= $true )
| ( ( ( SV141 @ SV86 )
= SV179 )
= $false )
| ( ( ord_le976219883lle_hf @ SV26 @ SV86 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1291]) ).
thf(1359,plain,
! [SV89: hF_Mirabelle_hf > hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf,SV143: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK15_SY407 @ SV143 @ SV180 @ SV29 @ SV89 ) @ ( sK31_SY558 @ SV89 @ SV29 @ SV180 @ SV143 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV180 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV143 @ SV180 )
= $false )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1292]) ).
thf(1360,plain,
! [SV29: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf,SV143: hF_Mirabelle_hf,SV89: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV89 @ ( sK15_SY407 @ SV143 @ SV180 @ SV29 @ SV89 ) ) @ ( SV89 @ ( sK31_SY558 @ SV89 @ SV29 @ SV180 @ SV143 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV180 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV143 @ SV180 )
= $false )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV143 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1292]) ).
thf(1361,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1293]) ).
thf(1362,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV90 != SV181 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1293]) ).
thf(1363,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( SV90 = SV181 )
= $true )
| ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1364,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 ) )
= $false )
| ( ( SV93 = SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1295]) ).
thf(1365,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) )
= $false )
| ( ( SV93 = SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1295]) ).
thf(1366,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( ( SV93 != SV182 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $false )
| ( ( ord_le976219883lle_hf @ SV93 @ SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1367,plain,
! [SV96: nat > hF_Mirabelle_hf,SV36: hF_Mirabelle_hf,SV183: nat,SV147: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK16_SY415 @ SV147 @ SV183 @ SV36 @ SV96 ) @ ( sK32_SY559 @ SV96 @ SV36 @ SV183 @ SV147 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SV183 ) )
= $true )
| ( ( ord_less_eq_nat @ SV147 @ SV183 )
= $false )
| ( ( SV36
= ( SV96 @ SV147 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1297]) ).
thf(1368,plain,
! [SV36: hF_Mirabelle_hf,SV183: nat,SV147: nat,SV96: nat > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV96 @ ( sK16_SY415 @ SV147 @ SV183 @ SV36 @ SV96 ) ) @ ( SV96 @ ( sK32_SY559 @ SV96 @ SV36 @ SV183 @ SV147 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SV183 ) )
= $true )
| ( ( ord_less_eq_nat @ SV147 @ SV183 )
= $false )
| ( ( SV36
= ( SV96 @ SV147 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1297]) ).
thf(1369,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) ) )
= $false )
| ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1370,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) )
= $false )
| ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1371,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le2017230260lle_hf @ SV100 @ SV184 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1372,plain,
! [SV151: hF_Mirabelle_hf > hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV185: hF_Mirabelle_hf,SV102: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK17_SY491 @ SV102 @ SV185 @ SV42 @ SV151 ) @ ( sK33_SY560 @ SV151 @ SV42 @ SV185 @ SV102 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV42 ) @ SV185 )
= $true )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV102 ) @ SV185 )
= $false )
| ( ( ord_le976219883lle_hf @ SV42 @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1373,plain,
! [SV42: hF_Mirabelle_hf,SV185: hF_Mirabelle_hf,SV102: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV151 @ ( sK17_SY491 @ SV102 @ SV185 @ SV42 @ SV151 ) ) @ ( SV151 @ ( sK33_SY560 @ SV151 @ SV42 @ SV185 @ SV102 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV42 ) @ SV185 )
= $true )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV102 ) @ SV185 )
= $false )
| ( ( ord_le976219883lle_hf @ SV42 @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1374,plain,
! [SV103: nat > hF_Mirabelle_hf,SV43: hF_Mirabelle_hf,SV186: nat,SV152: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK18_SY426 @ SV152 @ SV186 @ SV43 @ SV103 ) @ ( sK34_SY561 @ SV103 @ SV43 @ SV186 @ SV152 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV186 ) )
= $true )
| ( ( ord_less_eq_nat @ SV152 @ SV186 )
= $false )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV152 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1375,plain,
! [SV43: hF_Mirabelle_hf,SV186: nat,SV152: nat,SV103: nat > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV103 @ ( sK18_SY426 @ SV152 @ SV186 @ SV43 @ SV103 ) ) @ ( SV103 @ ( sK34_SY561 @ SV103 @ SV43 @ SV186 @ SV152 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV186 ) )
= $true )
| ( ( ord_less_eq_nat @ SV152 @ SV186 )
= $false )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV152 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1376,plain,
! [SV104: hF_Mirabelle_hf > nat,SV44: nat,SV187: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK19_SY430 @ SV153 @ SV187 @ SV44 @ SV104 ) @ ( sK35_SY562 @ SV104 @ SV44 @ SV187 @ SV153 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV187 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV153 @ SV187 )
= $false )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV153 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1377,plain,
! [SV44: nat,SV187: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf,SV104: hF_Mirabelle_hf > nat] :
( ( ( ord_less_eq_nat @ ( SV104 @ ( sK19_SY430 @ SV153 @ SV187 @ SV44 @ SV104 ) ) @ ( SV104 @ ( sK35_SY562 @ SV104 @ SV44 @ SV187 @ SV153 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV187 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV153 @ SV187 )
= $false )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV153 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1378,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1307]) ).
thf(1379,plain,
! [SV105: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV188 != SV105 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1307]) ).
thf(1380,plain,
! [SV105: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( SV188 = SV105 )
= $true )
| ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( ~ ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1308]) ).
thf(1381,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV46 @ ( sK41_SY500 @ SV106 @ SV155 @ SV46 ) )
| ~ ! [SY568: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY568 )
| ( ord_le976219883lle_hf @ SY568 @ ( sK41_SY500 @ SV106 @ SV155 @ SV46 ) ) )
| ( SV155 @ ( sK41_SY500 @ SV106 @ SV155 @ SV46 ) ) )
= $false )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1309]) ).
thf(1382,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV46 @ ( sK36_SY500 @ SV106 @ SV155 @ SV46 ) ) )
= $false )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 )
= $false )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1310]) ).
thf(1383,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY567: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY567 )
| ( ord_le976219883lle_hf @ SY567 @ ( sK36_SY500 @ SV106 @ SV155 @ SV46 ) ) )
| ( SV155 @ ( sK36_SY500 @ SV106 @ SV155 @ SV46 ) ) )
= $false )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 )
= $false )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1310]) ).
thf(1384,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf,SV197: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV197 @ SV107 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV197 @ SV189 )
= $true )
| ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1311]) ).
thf(1385,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV107 @ SV189 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV107 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1312]) ).
thf(1386,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ~ ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV107 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1312]) ).
thf(1387,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV189 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1313]) ).
thf(1388,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV189 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1314]) ).
thf(1389,plain,
! [SV157: nat > hF_Mirabelle_hf,SV48: nat,SV190: hF_Mirabelle_hf,SV108: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( sK20_SY504 @ SV108 @ SV190 @ SV48 @ SV157 ) @ ( sK37_SY563 @ SV157 @ SV48 @ SV190 @ SV108 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV157 @ SV48 ) @ SV190 )
= $true )
| ( ( ( SV157 @ SV108 )
= SV190 )
= $false )
| ( ( ord_less_eq_nat @ SV48 @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1315]) ).
thf(1390,plain,
! [SV48: nat,SV190: hF_Mirabelle_hf,SV108: nat,SV157: nat > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV157 @ ( sK20_SY504 @ SV108 @ SV190 @ SV48 @ SV157 ) ) @ ( SV157 @ ( sK37_SY563 @ SV157 @ SV48 @ SV190 @ SV108 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV157 @ SV48 ) @ SV190 )
= $true )
| ( ( ( SV157 @ SV108 )
= SV190 )
= $false )
| ( ( ord_less_eq_nat @ SV48 @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1315]) ).
thf(1391,plain,
! [SV109: hF_Mirabelle_hf > hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf,SV158: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK21_SY445 @ SV158 @ SV191 @ SV49 @ SV109 ) @ ( sK38_SY564 @ SV109 @ SV49 @ SV191 @ SV158 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV191 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV158 @ SV191 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV158 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1316]) ).
thf(1392,plain,
! [SV49: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf,SV158: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV109 @ ( sK21_SY445 @ SV158 @ SV191 @ SV49 @ SV109 ) ) @ ( SV109 @ ( sK38_SY564 @ SV109 @ SV49 @ SV191 @ SV158 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV191 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV158 @ SV191 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV158 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1316]) ).
thf(1393,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 ) )
= $false )
| ( ( SV114 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1317]) ).
thf(1394,plain,
! [SV114: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) )
= $false )
| ( ( SV114 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1317]) ).
thf(1395,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ( SV114 != SV192 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $false )
| ( ( ord_le976219883lle_hf @ SV192 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1318]) ).
thf(1396,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV196: hF_Mirabelle_hf,SV195: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV195 @ SV196 )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV115 @ SV196 ) @ ( SV115 @ SV195 ) )
= $true )
| ( ( order_690706045lle_hf @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1397,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( order_690706045lle_hf @ SV115 )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK4_SY450 @ SV115 ) @ ( sK6_SY549 @ SV115 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1320]) ).
thf(1398,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ! [SY450: hF_Mirabelle_hf,SY451: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SY450 @ SY451 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY451 ) @ ( SV115 @ SY450 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK4_SY450 @ SV115 ) @ ( sK6_SY549 @ SV115 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1321]) ).
thf(1399,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV198: hF_Mirabelle_hf] :
( ( ( ! [SY569: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV198 @ SY569 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY569 ) @ ( SV115 @ SV198 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV115 @ ( sK6_SY549 @ SV115 ) ) @ ( SV115 @ ( sK4_SY450 @ SV115 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1400,plain,
! [SV163: hF_Mirabelle_hf > hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( sK22_SY510 @ SV120 @ SV193 @ SV61 @ SV163 ) @ ( sK39_SY565 @ SV163 @ SV61 @ SV193 @ SV120 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV163 @ SV61 ) @ SV193 )
= $true )
| ( ( ( SV163 @ SV120 )
= SV193 )
= $false )
| ( ( ord_le976219883lle_hf @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1401,plain,
! [SV61: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV163 @ ( sK22_SY510 @ SV120 @ SV193 @ SV61 @ SV163 ) ) @ ( SV163 @ ( sK39_SY565 @ SV163 @ SV61 @ SV193 @ SV120 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV163 @ SV61 ) @ SV193 )
= $true )
| ( ( ( SV163 @ SV120 )
= SV193 )
= $false )
| ( ( ord_le976219883lle_hf @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1402,plain,
! [SV164: hF_Mirabelle_hf > hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf,SV121: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ ( sK23_SY513 @ SV121 @ SV194 @ SV62 @ SV164 ) @ ( sK40_SY566 @ SV164 @ SV62 @ SV194 @ SV121 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ ( SV164 @ SV62 ) @ SV194 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV164 @ SV121 ) @ SV194 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV62 @ SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1325]) ).
thf(1403,plain,
! [SV62: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf,SV121: hF_Mirabelle_hf,SV164: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ ( SV164 @ ( sK23_SY513 @ SV121 @ SV194 @ SV62 @ SV164 ) ) @ ( SV164 @ ( sK40_SY566 @ SV164 @ SV62 @ SV194 @ SV121 ) ) )
= $false )
| ( ( ord_le1310584031lle_hf @ ( SV164 @ SV62 ) @ SV194 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV164 @ SV121 ) @ SV194 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV62 @ SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1325]) ).
thf(1404,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1332]) ).
thf(1405,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( SV69 != SV169 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1333]) ).
thf(1406,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( SV69 = SV169 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1407,plain,
! [SV70: hF_Mirabelle_hf > hF_Mirabelle_hf,SV9: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV129: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( sK8_SY370 @ SV129 @ SV170 @ SV9 @ SV70 ) @ ( sK24_SY551 @ SV70 @ SV9 @ SV170 @ SV129 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV9 @ ( SV70 @ SV170 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV129 @ SV170 )
= $false )
| ( ( SV9
= ( SV70 @ SV129 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1335]) ).
thf(1408,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1338]) ).
thf(1409,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( SV73 != SV171 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1339]) ).
thf(1410,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( SV73 = SV171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1340]) ).
thf(1411,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1341]) ).
thf(1412,plain,
! [SV75: hF_Mirabelle_hf,SV172: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1342]) ).
thf(1413,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1343]) ).
thf(1414,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $true )
| ( ( SV76 = SV173 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1344]) ).
thf(1415,plain,
! [SV76: hF_Mirabelle_hf,SV173: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV173 @ SV76 )
= $true )
| ( ( SV76 = SV173 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1345]) ).
thf(1416,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( SV76 != SV173 )
= $false )
| ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $false )
| ( ( ord_le976219883lle_hf @ SV173 @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1346]) ).
thf(1417,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $false )
| ( ( ord_le976219883lle_hf @ SV173 @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1346]) ).
thf(1418,plain,
! [SV80: hF_Mirabelle_hf > nat,SV20: nat,SV174: hF_Mirabelle_hf,SV136: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( sK9_SY382 @ SV136 @ SV174 @ SV20 @ SV80 ) @ ( sK25_SY552 @ SV80 @ SV20 @ SV174 @ SV136 ) )
= $true )
| ( ( ord_less_eq_nat @ SV20 @ ( SV80 @ SV174 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV136 @ SV174 )
= $false )
| ( ( SV20
= ( SV80 @ SV136 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1347]) ).
thf(1419,plain,
! [SV137: hF_Mirabelle_hf > hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV175: hF_Mirabelle_hf,SV81: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( sK10_SY470 @ SV81 @ SV175 @ SV21 @ SV137 ) @ ( sK26_SY553 @ SV137 @ SV21 @ SV175 @ SV81 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV21 ) @ SV175 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV137 @ SV81 ) @ SV175 )
= $false )
| ( ( ord_le976219883lle_hf @ SV21 @ SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1349]) ).
thf(1420,plain,
! [SV83: hF_Mirabelle_hf > hF_Mirabelle_hf,SV23: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV138: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ ( sK11_SY390 @ SV138 @ SV176 @ SV23 @ SV83 ) @ ( sK27_SY554 @ SV83 @ SV23 @ SV176 @ SV138 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV23 @ ( SV83 @ SV176 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV138 @ SV176 )
= $false )
| ( ( ord_le976219883lle_hf @ SV23 @ ( SV83 @ SV138 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1351]) ).
thf(1421,plain,
! [SV139: nat > hF_Mirabelle_hf,SV24: nat,SV177: hF_Mirabelle_hf,SV84: nat] :
( ( ( ord_less_eq_nat @ ( sK12_SY476 @ SV84 @ SV177 @ SV24 @ SV139 ) @ ( sK28_SY555 @ SV139 @ SV24 @ SV177 @ SV84 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV24 ) @ SV177 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV139 @ SV84 ) @ SV177 )
= $false )
| ( ( ord_less_eq_nat @ SV24 @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1353]) ).
thf(1422,plain,
! [SV140: hF_Mirabelle_hf > nat,SV25: hF_Mirabelle_hf,SV178: nat,SV85: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( sK13_SY479 @ SV85 @ SV178 @ SV25 @ SV140 ) @ ( sK29_SY556 @ SV140 @ SV25 @ SV178 @ SV85 ) )
= $true )
| ( ( ord_less_eq_nat @ ( SV140 @ SV25 ) @ SV178 )
= $true )
| ( ( ord_less_eq_nat @ ( SV140 @ SV85 ) @ SV178 )
= $false )
| ( ( ord_le976219883lle_hf @ SV25 @ SV85 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1355]) ).
thf(1423,plain,
! [SV141: hF_Mirabelle_hf > nat,SV26: hF_Mirabelle_hf,SV179: nat,SV86: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( sK14_SY482 @ SV86 @ SV179 @ SV26 @ SV141 ) @ ( sK30_SY557 @ SV141 @ SV26 @ SV179 @ SV86 ) )
= $true )
| ( ( ord_less_eq_nat @ ( SV141 @ SV26 ) @ SV179 )
= $true )
| ( ( ( SV141 @ SV86 )
= SV179 )
= $false )
| ( ( ord_le976219883lle_hf @ SV26 @ SV86 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1424,plain,
! [SV89: hF_Mirabelle_hf > hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf,SV143: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( sK15_SY407 @ SV143 @ SV180 @ SV29 @ SV89 ) @ ( sK31_SY558 @ SV89 @ SV29 @ SV180 @ SV143 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV180 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV143 @ SV180 )
= $false )
| ( ( ord_le976219883lle_hf @ SV29 @ ( SV89 @ SV143 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1359]) ).
thf(1425,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1426,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( SV90 != SV181 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1362]) ).
thf(1427,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( SV90 = SV181 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1363]) ).
thf(1428,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $true )
| ( ( SV93 = SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1364]) ).
thf(1429,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV93 @ SV182 )
= $true )
| ( ( SV93 = SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1365]) ).
thf(1430,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( SV93 != SV182 )
= $false )
| ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $false )
| ( ( ord_le976219883lle_hf @ SV93 @ SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1431,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $false )
| ( ( ord_le976219883lle_hf @ SV93 @ SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1432,plain,
! [SV96: nat > hF_Mirabelle_hf,SV36: hF_Mirabelle_hf,SV183: nat,SV147: nat] :
( ( ( ord_less_eq_nat @ ( sK16_SY415 @ SV147 @ SV183 @ SV36 @ SV96 ) @ ( sK32_SY559 @ SV96 @ SV36 @ SV183 @ SV147 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV36 @ ( SV96 @ SV183 ) )
= $true )
| ( ( ord_less_eq_nat @ SV147 @ SV183 )
= $false )
| ( ( SV36
= ( SV96 @ SV147 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1367]) ).
thf(1433,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $true )
| ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1369]) ).
thf(1434,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) )
= $true )
| ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1370]) ).
thf(1435,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le2017230260lle_hf @ SV100 @ SV184 ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1371]) ).
thf(1436,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1371]) ).
thf(1437,plain,
! [SV151: hF_Mirabelle_hf > hF_Mirabelle_hf,SV42: hF_Mirabelle_hf,SV185: hF_Mirabelle_hf,SV102: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( sK17_SY491 @ SV102 @ SV185 @ SV42 @ SV151 ) @ ( sK33_SY560 @ SV151 @ SV42 @ SV185 @ SV102 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV42 ) @ SV185 )
= $true )
| ( ( ord_le1310584031lle_hf @ ( SV151 @ SV102 ) @ SV185 )
= $false )
| ( ( ord_le976219883lle_hf @ SV42 @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1372]) ).
thf(1438,plain,
! [SV103: nat > hF_Mirabelle_hf,SV43: hF_Mirabelle_hf,SV186: nat,SV152: nat] :
( ( ( ord_less_eq_nat @ ( sK18_SY426 @ SV152 @ SV186 @ SV43 @ SV103 ) @ ( sK34_SY561 @ SV103 @ SV43 @ SV186 @ SV152 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV186 ) )
= $true )
| ( ( ord_less_eq_nat @ SV152 @ SV186 )
= $false )
| ( ( ord_le976219883lle_hf @ SV43 @ ( SV103 @ SV152 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1374]) ).
thf(1439,plain,
! [SV104: hF_Mirabelle_hf > nat,SV44: nat,SV187: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( sK19_SY430 @ SV153 @ SV187 @ SV44 @ SV104 ) @ ( sK35_SY562 @ SV104 @ SV44 @ SV187 @ SV153 ) )
= $true )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV187 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV153 @ SV187 )
= $false )
| ( ( ord_less_eq_nat @ SV44 @ ( SV104 @ SV153 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1376]) ).
thf(1440,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1378]) ).
thf(1441,plain,
! [SV105: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( SV188 != SV105 )
= $true )
| ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1379]) ).
thf(1442,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 )
| ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( SV188 = SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1380]) ).
thf(1443,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV46 @ ( sK41_SY500 @ SV106 @ SV155 @ SV46 ) ) )
= $false )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1381]) ).
thf(1444,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY568: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY568 )
| ( ord_le976219883lle_hf @ SY568 @ ( sK41_SY500 @ SV106 @ SV155 @ SV46 ) ) )
| ( SV155 @ ( sK41_SY500 @ SV106 @ SV155 @ SV46 ) ) )
= $false )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1381]) ).
thf(1445,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( SV46 @ ( sK36_SY500 @ SV106 @ SV155 @ SV46 ) )
= $true )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 )
= $false )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1382]) ).
thf(1446,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY567: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY567 )
| ( ord_le976219883lle_hf @ SY567 @ ( sK36_SY500 @ SV106 @ SV155 @ SV46 ) ) ) )
= $false )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 )
= $false )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1447,plain,
! [SV46: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf > $o] :
( ( ( SV155 @ ( sK36_SY500 @ SV106 @ SV155 @ SV46 ) )
= $false )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 )
= $false )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1448,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf,SV197: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV197 @ SV107 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV197 @ SV189 )
= $true )
| ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1384]) ).
thf(1449,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV107 @ SV189 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV107 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1385]) ).
thf(1450,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf] :
( ( ( ! [SY540: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY540 @ SV107 )
| ( hF_Mirabelle_hmem @ SY540 @ SV189 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV107 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1386]) ).
thf(1451,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf,SV199: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV199 @ SV107 )
| ( hF_Mirabelle_hmem @ SV199 @ SV189 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV189 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1452,plain,
! [SV157: nat > hF_Mirabelle_hf,SV48: nat,SV190: hF_Mirabelle_hf,SV108: nat] :
( ( ( ord_less_eq_nat @ ( sK20_SY504 @ SV108 @ SV190 @ SV48 @ SV157 ) @ ( sK37_SY563 @ SV157 @ SV48 @ SV190 @ SV108 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV157 @ SV48 ) @ SV190 )
= $true )
| ( ( ( SV157 @ SV108 )
= SV190 )
= $false )
| ( ( ord_less_eq_nat @ SV48 @ SV108 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1389]) ).
thf(1453,plain,
! [SV109: hF_Mirabelle_hf > hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf,SV158: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( sK21_SY445 @ SV158 @ SV191 @ SV49 @ SV109 ) @ ( sK38_SY564 @ SV109 @ SV49 @ SV191 @ SV158 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV191 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV158 @ SV191 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV49 @ ( SV109 @ SV158 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1391]) ).
thf(1454,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $true )
| ( ( SV114 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1393]) ).
thf(1455,plain,
! [SV114: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV192 @ SV114 )
= $true )
| ( ( SV114 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1394]) ).
thf(1456,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( SV114 != SV192 )
= $false )
| ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $false )
| ( ( ord_le976219883lle_hf @ SV192 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1395]) ).
thf(1457,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $false )
| ( ( ord_le976219883lle_hf @ SV192 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1395]) ).
thf(1458,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV200: hF_Mirabelle_hf] :
( ( ( ! [SY570: hF_Mirabelle_hf] :
( ~ ( ord_le976219883lle_hf @ SV200 @ SY570 )
| ( ord_le976219883lle_hf @ ( SV115 @ SY570 ) @ ( SV115 @ SV200 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK4_SY450 @ SV115 ) @ ( sK6_SY549 @ SV115 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(1459,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV201: hF_Mirabelle_hf,SV198: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV198 @ SV201 )
| ( ord_le976219883lle_hf @ ( SV115 @ SV201 ) @ ( SV115 @ SV198 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV115 @ ( sK6_SY549 @ SV115 ) ) @ ( SV115 @ ( sK4_SY450 @ SV115 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(1460,plain,
! [SV163: hF_Mirabelle_hf > hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( sK22_SY510 @ SV120 @ SV193 @ SV61 @ SV163 ) @ ( sK39_SY565 @ SV163 @ SV61 @ SV193 @ SV120 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV163 @ SV61 ) @ SV193 )
= $true )
| ( ( ( SV163 @ SV120 )
= SV193 )
= $false )
| ( ( ord_le976219883lle_hf @ SV61 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1400]) ).
thf(1461,plain,
! [SV164: hF_Mirabelle_hf > hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf,SV121: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ ( sK23_SY513 @ SV121 @ SV194 @ SV62 @ SV164 ) @ ( sK40_SY566 @ SV164 @ SV62 @ SV194 @ SV121 ) )
= $true )
| ( ( ord_le1310584031lle_hf @ ( SV164 @ SV62 ) @ SV194 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV164 @ SV121 ) @ SV194 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV62 @ SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1402]) ).
thf(1462,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( SV69 = SV169 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1463,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV69 @ SV169 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( SV69 = SV169 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1464,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( SV69 = SV169 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1465,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( SV73 = SV171 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1466,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV73 @ SV171 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( SV73 = SV171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1410]) ).
thf(1467,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( SV73 = SV171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1410]) ).
thf(1468,plain,
! [SV75: hF_Mirabelle_hf,SV172: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1469,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV75 @ SV172 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1413]) ).
thf(1470,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1413]) ).
thf(1471,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( SV76 = SV173 )
= $true )
| ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $false )
| ( ( ord_le976219883lle_hf @ SV173 @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1416]) ).
thf(1472,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $false )
| ( ( ord_le976219883lle_hf @ SV173 @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1417]) ).
thf(1473,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( SV90 = SV181 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1474,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV90 @ SV181 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( SV90 = SV181 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1475,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( SV90 = SV181 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1476,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( SV93 = SV182 )
= $true )
| ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $false )
| ( ( ord_le976219883lle_hf @ SV93 @ SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1430]) ).
thf(1477,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $false )
| ( ( ord_le976219883lle_hf @ SV93 @ SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1431]) ).
thf(1478,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ord_le2017230260lle_hf @ SV100 @ SV184 )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1435]) ).
thf(1479,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1436]) ).
thf(1480,plain,
! [SV105: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( SV188 = SV105 )
= $false )
| ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1481,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le1310584031lle_hf @ SV105 @ SV188 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( SV188 = SV105 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1442]) ).
thf(1482,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( SV188 = SV105 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1442]) ).
thf(1483,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( SV46 @ ( sK41_SY500 @ SV106 @ SV155 @ SV46 ) )
= $true )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1443]) ).
thf(1484,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY568: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY568 )
| ( ord_le976219883lle_hf @ SY568 @ ( sK41_SY500 @ SV106 @ SV155 @ SV46 ) ) ) )
= $false )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1444]) ).
thf(1485,plain,
! [SV46: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf > $o] :
( ( ( SV155 @ ( sK41_SY500 @ SV106 @ SV155 @ SV46 ) )
= $false )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1444]) ).
thf(1486,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ! [SY567: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY567 )
| ( ord_le976219883lle_hf @ SY567 @ ( sK36_SY500 @ SV106 @ SV155 @ SV46 ) ) ) )
= $true )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 )
= $false )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1446]) ).
thf(1487,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf,SV202: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV202 @ SV107 )
| ( hF_Mirabelle_hmem @ SV202 @ SV189 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV107 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1450]) ).
thf(1488,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf,SV199: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV199 @ SV107 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV199 @ SV189 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV189 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1451]) ).
thf(1489,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( SV114 = SV192 )
= $true )
| ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $false )
| ( ( ord_le976219883lle_hf @ SV192 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1456]) ).
thf(1490,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $false )
| ( ( ord_le976219883lle_hf @ SV192 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1491,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV203: hF_Mirabelle_hf,SV200: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV200 @ SV203 )
| ( ord_le976219883lle_hf @ ( SV115 @ SV203 ) @ ( SV115 @ SV200 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK4_SY450 @ SV115 ) @ ( sK6_SY549 @ SV115 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1458]) ).
thf(1492,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV201: hF_Mirabelle_hf,SV198: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV198 @ SV201 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV115 @ SV201 ) @ ( SV115 @ SV198 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV115 @ ( sK6_SY549 @ SV115 ) ) @ ( SV115 @ ( sK4_SY450 @ SV115 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1459]) ).
thf(1493,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV69 @ SV169 )
= $true )
| ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( SV69 = SV169 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1463]) ).
thf(1494,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( SV69 = SV169 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1464]) ).
thf(1495,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV73 @ SV171 )
= $true )
| ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( SV73 = SV171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1496,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( SV73 = SV171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1497,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV75 @ SV172 )
= $true )
| ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1469]) ).
thf(1498,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1470]) ).
thf(1499,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 )
| ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $false )
| ( ( ord_le976219883lle_hf @ SV173 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1472]) ).
thf(1500,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV90 @ SV181 )
= $true )
| ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( SV90 = SV181 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1474]) ).
thf(1501,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( SV90 = SV181 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1475]) ).
thf(1502,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 )
| ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $false )
| ( ( ord_le976219883lle_hf @ SV93 @ SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1503,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
| ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1479]) ).
thf(1504,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ord_le1310584031lle_hf @ SV105 @ SV188 )
= $true )
| ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( SV188 = SV105 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1481]) ).
thf(1505,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( SV188 = SV105 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1482]) ).
thf(1506,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ! [SY568: hF_Mirabelle_hf] :
( ~ ( SV46 @ SY568 )
| ( ord_le976219883lle_hf @ SY568 @ ( sK41_SY500 @ SV106 @ SV155 @ SV46 ) ) ) )
= $true )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1484]) ).
thf(1507,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV204: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV46 @ SV204 )
| ( ord_le976219883lle_hf @ SV204 @ ( sK36_SY500 @ SV106 @ SV155 @ SV46 ) ) )
= $true )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 )
= $false )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(1508,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf,SV202: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV202 @ SV107 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV202 @ SV189 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1487]) ).
thf(1509,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf,SV199: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV199 @ SV107 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV199 @ SV189 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1510,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 )
| ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $false )
| ( ( ord_le976219883lle_hf @ SV192 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1511,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV203: hF_Mirabelle_hf,SV200: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV200 @ SV203 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV115 @ SV203 ) @ ( SV115 @ SV200 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK4_SY450 @ SV115 ) @ ( sK6_SY549 @ SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1491]) ).
thf(1512,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV201: hF_Mirabelle_hf,SV198: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV198 @ SV201 )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV115 @ SV201 ) @ ( SV115 @ SV198 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV115 @ ( sK6_SY549 @ SV115 ) ) @ ( SV115 @ ( sK4_SY450 @ SV115 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1513,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 )
| ~ ( ( SV69 != SV169 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( SV69 = SV169 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1494]) ).
thf(1514,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 )
| ~ ( ( SV73 != SV171 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( SV73 = SV171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1515,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 )
| ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1516,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV76 @ SV173 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $false )
| ( ( ord_le976219883lle_hf @ SV173 @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1517,plain,
! [SV76: hF_Mirabelle_hf,SV173: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV173 @ SV76 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $false )
| ( ( ord_le976219883lle_hf @ SV173 @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1518,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 )
| ~ ( ( SV90 != SV181 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( SV90 = SV181 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1501]) ).
thf(1519,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV182 @ SV93 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $false )
| ( ( ord_le976219883lle_hf @ SV93 @ SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1520,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV93 @ SV182 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $false )
| ( ( ord_le976219883lle_hf @ SV93 @ SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1521,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1522,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1523,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 )
| ~ ( ( SV188 != SV105 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( SV188 = SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1505]) ).
thf(1524,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV205: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV46 @ SV205 )
| ( ord_le976219883lle_hf @ SV205 @ ( sK41_SY500 @ SV106 @ SV155 @ SV46 ) ) )
= $true )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(1525,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV204: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV46 @ SV204 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV204 @ ( sK36_SY500 @ SV106 @ SV155 @ SV46 ) )
= $true )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 )
= $false )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1507]) ).
thf(1526,plain,
! [SV189: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf,SV202: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV202 @ SV107 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV202 @ SV189 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK7_SY540 @ SV189 @ SV107 ) @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1527,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV114 @ SV192 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $false )
| ( ( ord_le976219883lle_hf @ SV192 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1528,plain,
! [SV114: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV192 @ SV114 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $false )
| ( ( ord_le976219883lle_hf @ SV192 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1529,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV203: hF_Mirabelle_hf,SV200: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV200 @ SV203 )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV115 @ SV203 ) @ ( SV115 @ SV200 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK4_SY450 @ SV115 ) @ ( sK6_SY549 @ SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1530,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV69 @ SV169 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( SV69 = SV169 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1513]) ).
thf(1531,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV69 != SV169 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( SV69 = SV169 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1513]) ).
thf(1532,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV73 @ SV171 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( SV73 = SV171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1533,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV73 != SV171 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( SV73 = SV171 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1534,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV75 @ SV172 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1535,plain,
! [SV75: hF_Mirabelle_hf,SV172: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1536,plain,
! [SV173: hF_Mirabelle_hf,SV76: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $true )
| ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $false )
| ( ( ord_le976219883lle_hf @ SV173 @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1516]) ).
thf(1537,plain,
! [SV76: hF_Mirabelle_hf,SV173: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV173 @ SV76 )
= $true )
| ( ( ord_le976219883lle_hf @ SV76 @ SV173 )
= $false )
| ( ( ord_le976219883lle_hf @ SV173 @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1517]) ).
thf(1538,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV90 @ SV181 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( SV90 = SV181 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1518]) ).
thf(1539,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV90 != SV181 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( SV90 = SV181 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1518]) ).
thf(1540,plain,
! [SV93: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $true )
| ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $false )
| ( ( ord_le976219883lle_hf @ SV93 @ SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1519]) ).
thf(1541,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV93 @ SV182 )
= $true )
| ( ( ord_le976219883lle_hf @ SV182 @ SV93 )
= $false )
| ( ( ord_le976219883lle_hf @ SV93 @ SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1520]) ).
thf(1542,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1521]) ).
thf(1543,plain,
! [SV184: $o > hF_Mirabelle_hf,SV100: $o > hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $false ) @ ( SV184 @ $false ) )
= $false )
| ( ( ord_le976219883lle_hf @ ( SV100 @ $true ) @ ( SV184 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1522]) ).
thf(1544,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV105 @ SV188 ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( SV188 = SV105 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1545,plain,
! [SV105: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV188 != SV105 ) ) )
= $false )
| ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( SV188 = SV105 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1546,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV205: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV46 @ SV205 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV205 @ ( sK41_SY500 @ SV106 @ SV155 @ SV46 ) )
= $true )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1524]) ).
thf(1547,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV204: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( SV46 @ SV204 )
= $false )
| ( ( ord_le976219883lle_hf @ SV204 @ ( sK36_SY500 @ SV106 @ SV155 @ SV46 ) )
= $true )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( ord_le976219883lle_hf @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) @ SV106 )
= $false )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1525]) ).
thf(1548,plain,
! [SV192: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $true )
| ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $false )
| ( ( ord_le976219883lle_hf @ SV192 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1527]) ).
thf(1549,plain,
! [SV114: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV192 @ SV114 )
= $true )
| ( ( ord_le976219883lle_hf @ SV114 @ SV192 )
= $false )
| ( ( ord_le976219883lle_hf @ SV192 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1528]) ).
thf(1550,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $true )
| ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( SV69 = SV169 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1530]) ).
thf(1551,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( SV69 != SV169 )
= $true )
| ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( SV69 = SV169 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1531]) ).
thf(1552,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $true )
| ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( SV73 = SV171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1532]) ).
thf(1553,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( SV73 != SV171 )
= $true )
| ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( SV73 = SV171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1533]) ).
thf(1554,plain,
! [SV172: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $true )
| ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1534]) ).
thf(1555,plain,
! [SV75: hF_Mirabelle_hf,SV172: hF_Mirabelle_hf] :
( ( ( ~ ( ord_le976219883lle_hf @ SV172 @ SV75 ) )
= $true )
| ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1535]) ).
thf(1556,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $true )
| ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( SV90 = SV181 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1538]) ).
thf(1557,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( SV90 != SV181 )
= $true )
| ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( SV90 = SV181 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1539]) ).
thf(1558,plain,
! [SV188: hF_Mirabelle_hf,SV105: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $true )
| ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( SV188 = SV105 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1544]) ).
thf(1559,plain,
! [SV105: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( SV188 != SV105 )
= $true )
| ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( SV188 = SV105 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1545]) ).
thf(1560,plain,
! [SV155: hF_Mirabelle_hf > $o,SV106: hF_Mirabelle_hf,SV205: hF_Mirabelle_hf,SV46: hF_Mirabelle_hf > $o] :
( ( ( SV46 @ SV205 )
= $false )
| ( ( ord_le976219883lle_hf @ SV205 @ ( sK41_SY500 @ SV106 @ SV155 @ SV46 ) )
= $true )
| ( ( SV155 @ ( order_1640852850lle_hf @ SV46 ) )
= $true )
| ( ( SV46 @ ( sK5_SY434 @ SV155 @ SV106 @ SV46 ) )
= $true )
| ( ( SV46 @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1561,plain,
! [SV169: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf] :
( ( ( SV69 = SV169 )
= $false )
| ( ( ord_le976219883lle_hf @ SV69 @ SV169 )
= $false )
| ( ( SV69 = SV169 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1551]) ).
thf(1562,plain,
! [SV171: hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( SV73 = SV171 )
= $false )
| ( ( ord_le976219883lle_hf @ SV73 @ SV171 )
= $false )
| ( ( SV73 = SV171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1553]) ).
thf(1563,plain,
! [SV75: hF_Mirabelle_hf,SV172: hF_Mirabelle_hf] :
( ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $false )
| ( ( ord_le976219883lle_hf @ SV75 @ SV172 )
= $false )
| ( ( ord_le976219883lle_hf @ SV172 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1555]) ).
thf(1564,plain,
! [SV181: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( SV90 = SV181 )
= $false )
| ( ( ord_le976219883lle_hf @ SV90 @ SV181 )
= $false )
| ( ( SV90 = SV181 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1565,plain,
! [SV105: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( SV188 = SV105 )
= $false )
| ( ( ord_le976219883lle_hf @ SV105 @ SV188 )
= $false )
| ( ( SV188 = SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1566,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[538,1565,1564,1563,1562,1561,1560,1558,1556,1554,1552,1550,1549,1548,1547,1543,1542,1541,1540,1537,1536,1529,1526,1512,1509,1504,1500,1497,1495,1493,1489,1485,1483,1480,1478,1476,1473,1471,1468,1465,1462,1461,1460,1455,1454,1453,1452,1449,1448,1447,1445,1440,1439,1438,1437,1434,1433,1432,1429,1428,1425,1424,1423,1422,1421,1420,1419,1418,1415,1414,1411,1408,1407,1404,1403,1401,1397,1396,1392,1390,1387,1377,1375,1373,1368,1360,1358,1356,1354,1352,1350,1348,1337,1336,1331,1330,1329,1328,1327,1326,1322,1303,1302,1301,1300,1279,1278,1272,1270,1269,1267,1265,1264,1262,1260,1259,1250,1249,1248,1247,1246,1240,1235,1225,1221,1218,1208,1205,1202,1201,1194,1188,1182,1176,1097,1065,1010,991,988,987,982,981,970,969,967,965,962,955,954,950,948,944,943,935,933,929,917,899,874,871,865,862,856,852,849,846,833,832,830,827,824,821,817,815,813,784,780,776,771,744,742,738,733,730,724,716,712,696,694,691,686,682,680,678,608,606,597,594,588,580,576,560,558,555,550,546,545,543,541,539]) ).
thf(1567,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1566]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP073^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.23 % Computer : n006.cluster.edu
% 0.07/0.23 % Model : x86_64 x86_64
% 0.07/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.23 % Memory : 8046.5625MB
% 0.07/0.23 % OS : Linux 6.8.0-71-generic
% 0.07/0.23 % CPULimit : 300
% 0.07/0.23 % WCLimit : 300
% 0.07/0.23 % DateTime : Tue Oct 6 11:15:07 UTC 2026
% 0.07/0.23 % CPUTime :
% 0.07/0.23 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.35/2.59 ..
% 13.35/2.59
% 13.35/2.59 No.of.Axioms: 63
% 13.35/2.59
% 13.35/2.59 Length.of.Defs: 0
% 13.35/2.59
% 13.35/2.59 Contains.Choice.Funs: true
% 13.35/2.59 ....................................
% 13.35/2.59
% 13.35/2.59 ********************************
% 13.35/2.59 * All subproblems solved! *
% 13.35/2.59 ********************************
% 13.35/2.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:63,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:1566,loop_count:0,foatp_calls:1,translation:fof_full)
% 13.35/2.59
% 13.35/2.59 %**** Beginning of derivation protocol ****
% 13.35/2.59 % SZS output start CNFRefutation
% See solution above
% 2.53/2.60
% 2.53/2.60 %**** End of derivation protocol ****
% 2.53/2.60 %**** no. of clauses in derivation: 1282 ****
% 2.53/2.60 %**** clause counter: 1566 ****
% 2.53/2.60
% 2.53/2.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:63,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:1566,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------