%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP075^1 : 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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:24:00 AM UTC 2026
% Result : Theorem 21.05s 3.75s
% Output : CNFRefutation 21.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 56
% Syntax : Number of formulae : 2382 ( 440 unt; 0 typ; 0 def)
% Number of atoms : 21219 (8354 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 35910 (7135 ~;6537 |; 68 &;21984 @)
% ( 0 <=>; 186 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 1850 (1850 >; 0 *; 0 +; 0 <<)
% Number of symbols : 121 ( 118 usr; 12 con; 0-4 aty)
% Number of variables : 7522 ( 328 ^;7138 !; 56 ?;7522 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_hF_Mirabelle_hf,type,
hF_Mirabelle_hf: $tType ).
thf(tp_int,type,
int: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_set_HF_Mirabelle_hf,type,
set_HF_Mirabelle_hf: $tType ).
thf(tp_a,type,
a: hF_Mirabelle_hf ).
thf(tp_bot_bo1001194783lle_hf,type,
bot_bo1001194783lle_hf: hF_Mirabelle_hf ).
thf(tp_bot_bo1263054448e_hf_o,type,
bot_bo1263054448e_hf_o: hF_Mirabelle_hf > $o ).
thf(tp_bot_bo53200981lle_hf,type,
bot_bo53200981lle_hf: set_HF_Mirabelle_hf ).
thf(tp_bot_bot_nat,type,
bot_bot_nat: nat ).
thf(tp_bot_bot_o,type,
bot_bot_o: $o ).
thf(tp_collec2046588256lle_hf,type,
collec2046588256lle_hf: ( hF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
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_Abs_hf,type,
hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_HBall,type,
hF_Mirabelle_HBall: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > $o ).
thf(tp_hF_Mirabelle_HBex,type,
hF_Mirabelle_HBex: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > $o ).
thf(tp_hF_Mirabelle_HF,type,
hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_HInter,type,
hF_Mirabelle_HInter: 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_hcard,type,
hF_Mirabelle_hcard: hF_Mirabelle_hf > nat ).
thf(tp_hF_Mirabelle_hfset,type,
hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_hfst,type,
hF_Mirabelle_hfst: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_hinsert,type,
hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_hmem,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(tp_hF_Mirabelle_hpair,type,
hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_hF_Mirabelle_hsnd,type,
hF_Mirabelle_hsnd: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_if_HF_Mirabelle_hf,type,
if_HF_Mirabelle_hf: $o > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_inf_in307783154e_hf_o,type,
inf_in307783154e_hf_o: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > $o ).
thf(tp_inf_in923488851lle_hf,type,
inf_in923488851lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(tp_inf_in956532509lle_hf,type,
inf_in956532509lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_inf_inf_int,type,
inf_inf_int: int > int > int ).
thf(tp_inf_inf_nat,type,
inf_inf_nat: nat > nat > nat ).
thf(tp_inf_inf_o,type,
inf_inf_o: $o > $o > $o ).
thf(tp_is_emp566801209lle_hf,type,
is_emp566801209lle_hf: set_HF_Mirabelle_hf > $o ).
thf(tp_least_917110455lle_hf,type,
least_917110455lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_member1367349282lle_hf,type,
member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(tp_minus_1232880740lle_hf,type,
minus_1232880740lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_minus_1450406810lle_hf,type,
minus_1450406810lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(tp_minus_1668263787e_hf_o,type,
minus_1668263787e_hf_o: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > $o ).
thf(tp_minus_minus_int,type,
minus_minus_int: int > int > int ).
thf(tp_minus_minus_nat,type,
minus_minus_nat: nat > nat > nat ).
thf(tp_minus_minus_o,type,
minus_minus_o: $o > $o > $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_le616625840e_hf_o,type,
ord_le616625840e_hf_o: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > $o ).
thf(tp_ord_less_int,type,
ord_less_int: int > int > $o ).
thf(tp_ord_less_nat,type,
ord_less_nat: nat > nat > $o ).
thf(tp_p,type,
p: $o ).
thf(tp_sK10_SY266,type,
sK10_SY266: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK11_SY272,type,
sK11_SY272: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK12_SY388,type,
sK12_SY388: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK13_SY392,type,
sK13_SY392: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK14_SY211,type,
sK14_SY211: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_sK15_SY456,type,
sK15_SY456: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_sK16_SY458,type,
sK16_SY458: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK17_SY459,type,
sK17_SY459: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK18_SY407,type,
sK18_SY407: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK19_SY461,type,
sK19_SY461: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_sK1_SY311,type,
sK1_SY311: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK20_SY462,type,
sK20_SY462: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK21_SY434,type,
sK21_SY434: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK22_SY437,type,
sK22_SY437: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK23_SY442,type,
sK23_SY442: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK24_SY443,type,
sK24_SY443: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK25_SY445,type,
sK25_SY445: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK26_SY452,type,
sK26_SY452: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK27_SY329,type,
sK27_SY329: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK28_SX0,type,
sK28_SX0: hF_Mirabelle_hf ).
thf(tp_sK29_SY463,type,
sK29_SY463: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK2_SY357,type,
sK2_SY357: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK30_SY256,type,
sK30_SY256: $o > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK31_SX0,type,
sK31_SX0: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK32_SX0,type,
sK32_SX0: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK33_SY350,type,
sK33_SY350: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK34_SY363,type,
sK34_SY363: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK35_SY350,type,
sK35_SY350: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK36_SY350,type,
sK36_SY350: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK37_SY420,type,
sK37_SY420: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK38_SY429,type,
sK38_SY429: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK39_SY350,type,
sK39_SY350: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK3_SY368,type,
sK3_SY368: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK40_SY446,type,
sK40_SY446: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK41_SY455,type,
sK41_SY455: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK42_SY457,type,
sK42_SY457: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK43_SY363,type,
sK43_SY363: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK44_SY420,type,
sK44_SY420: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK45_SY428,type,
sK45_SY428: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK46_SY464,type,
sK46_SY464: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_sK47_SY446,type,
sK47_SY446: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK48_SY428,type,
sK48_SY428: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK49_SY428,type,
sK49_SY428: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK4_SY371,type,
sK4_SY371: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK50_SY428,type,
sK50_SY428: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK51_SY455,type,
sK51_SY455: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK52_SY472,type,
sK52_SY472: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK53_SY457,type,
sK53_SY457: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK54_SY475,type,
sK54_SY475: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK55_SY476,type,
sK55_SY476: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK56_SY477,type,
sK56_SY477: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK57_SY429,type,
sK57_SY429: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK58_SY428,type,
sK58_SY428: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK59_SY429,type,
sK59_SY429: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK5_SY347,type,
sK5_SY347: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK60_SY428,type,
sK60_SY428: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK61_SY428,type,
sK61_SY428: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK62_SY428,type,
sK62_SY428: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK63_SY472,type,
sK63_SY472: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK64_SY475,type,
sK64_SY475: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK65_SY476,type,
sK65_SY476: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK66_SY477,type,
sK66_SY477: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK6_SY370,type,
sK6_SY370: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK7_SY396,type,
sK7_SY396: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK8_SY196,type,
sK8_SY196: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(tp_sK9_SY453,type,
sK9_SY453: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_semiri1382578993at_nat,type,
semiri1382578993at_nat: nat > nat ).
thf(tp_semiri2019852685at_int,type,
semiri2019852685at_int: nat > int ).
thf(tp_the_HF_Mirabelle_hf,type,
the_HF_Mirabelle_hf: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(tp_zero_z189798548lle_hf,type,
zero_z189798548lle_hf: hF_Mirabelle_hf ).
thf(tp_zero_zero_int,type,
zero_zero_int: int ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__HF____Mirabelle____glliljednj__Ohf_T) ).
thf(75,axiom,
( hF_Mirabelle_HUnion
= ( ^ [A4: hF_Mirabelle_hf] :
( the_HF_Mirabelle_hf
@ ^ [Z3: hF_Mirabelle_hf] :
! [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ Z3 )
= ( ? [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ A4 )
& ( hF_Mirabelle_hmem @ U2 @ Y3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_HUnion__def) ).
thf(79,axiom,
( hF_Mir1248913145eplace
= ( ^ [A4: hF_Mirabelle_hf,R2: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( the_HF_Mirabelle_hf
@ ^ [Z3: hF_Mirabelle_hf] :
! [V5: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ V5 @ Z3 )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ A4 )
& ( R2 @ U2 @ V5 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_275_PrimReplace__def) ).
thf(155,axiom,
! [X2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) @ B3 )
= ( minus_1232880740lle_hf @ A2 @ B3 ) ) )
& ( ~ ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) @ B3 )
= ( hF_Mirabelle_hinsert @ X2 @ ( minus_1232880740lle_hf @ A2 @ B3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_hinsert__hdiff__if) ).
thf(156,axiom,
! [X2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) @ B3 )
= ( hF_Mirabelle_hinsert @ X2 @ ( inf_in956532509lle_hf @ A2 @ B3 ) ) ) )
& ( ~ ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) @ B3 )
= ( inf_in956532509lle_hf @ A2 @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_hinter__hinsert__left) ).
thf(157,axiom,
! [X2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( inf_in956532509lle_hf @ B3 @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) )
= ( hF_Mirabelle_hinsert @ X2 @ ( inf_in956532509lle_hf @ B3 @ A2 ) ) ) )
& ( ~ ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( inf_in956532509lle_hf @ B3 @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) )
= ( inf_in956532509lle_hf @ B3 @ A2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_hinter__hinsert__right) ).
thf(158,axiom,
! [P: hF_Mirabelle_hf > $o,Z4: hF_Mirabelle_hf] :
( ( P @ zero_z189798548lle_hf )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( P @ X )
=> ( ( P @ Y4 )
=> ( ~ ( hF_Mirabelle_hmem @ X @ Y4 )
=> ( P @ ( hF_Mirabelle_hinsert @ X @ Y4 ) ) ) ) )
=> ( P @ Z4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_hf__induct) ).
thf(159,axiom,
! [Y2: hF_Mirabelle_hf] :
( ( Y2 != zero_z189798548lle_hf )
=> ~ ! [A7: hF_Mirabelle_hf,B6: hF_Mirabelle_hf] :
( ( Y2
= ( hF_Mirabelle_hinsert @ A7 @ B6 ) )
=> ( hF_Mirabelle_hmem @ A7 @ B6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_hf__cases) ).
thf(164,axiom,
! [Z4: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( Z4
= ( hF_Mirabelle_hinsert @ Y2 @ X2 ) )
= ( ! [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ Z4 )
= ( ( hF_Mirabelle_hmem @ U2 @ X2 )
| ( U2 = Y2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_hinsert__iff) ).
thf(174,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ A @ ( hF_Mirabelle_hinsert @ B @ C ) )
= ( ( A = B )
| ( hF_Mirabelle_hmem @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_hmem__hinsert) ).
thf(184,axiom,
! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ zero_z189798548lle_hf @ ( hF_Mirabelle_hpair @ X2 @ Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_zero__notin__hpair) ).
thf(186,axiom,
( hF_Mir818139703ollect
= ( ^ [P2: hF_Mirabelle_hf > $o,A4: hF_Mirabelle_hf] :
( the_HF_Mirabelle_hf
@ ^ [Z3: hF_Mirabelle_hf] :
! [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ Z3 )
= ( ( P2 @ U2 )
& ( hF_Mirabelle_hmem @ U2 @ A4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_168_HCollect__def) ).
thf(297,axiom,
! [A2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,G: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( A2 = B3 )
=> ( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ B3 )
=> ( ( F @ X )
= ( G @ X ) ) )
=> ( ( hF_Mirabelle_RepFun @ A2 @ F )
= ( hF_Mirabelle_RepFun @ B3 @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_RepFun__cong) ).
thf(298,axiom,
! [A: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ A @ zero_z189798548lle_hf ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_hmem__hempty) ).
thf(299,axiom,
! [Z4: hF_Mirabelle_hf] :
( ( Z4 = zero_z189798548lle_hf )
= ( ! [X3: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X3 @ Z4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_hempty__iff) ).
thf(300,axiom,
! [A: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ A @ zero_z189798548lle_hf ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_hemptyE) ).
thf(301,axiom,
! [Z4: hF_Mirabelle_hf] :
( ( Z4 != zero_z189798548lle_hf )
=> ? [W: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ W @ Z4 )
& ( ( inf_in956532509lle_hf @ W @ Z4 )
= zero_z189798548lle_hf ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_foundation) ).
thf(302,axiom,
! [A2: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( A2 != zero_z189798548lle_hf )
=> ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mirabelle_HInter @ A2 ) )
= ( ! [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ A2 )
=> ( hF_Mirabelle_hmem @ X2 @ Y3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_HInter__iff) ).
thf(313,axiom,
! [U4: hF_Mirabelle_hf,X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U4 @ ( minus_1232880740lle_hf @ X2 @ Y2 ) )
= ( ( hF_Mirabelle_hmem @ U4 @ X2 )
& ~ ( hF_Mirabelle_hmem @ U4 @ Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_hdiff__iff) ).
thf(314,axiom,
! [U4: hF_Mirabelle_hf,X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U4 @ ( inf_in956532509lle_hf @ X2 @ Y2 ) )
= ( ( hF_Mirabelle_hmem @ U4 @ X2 )
& ( hF_Mirabelle_hmem @ U4 @ Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_hinter__iff) ).
thf(316,axiom,
( hF_Mirabelle_hmem
= ( ^ [A3: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] : ( member1367349282lle_hf @ A3 @ ( hF_Mirabelle_hfset @ B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_hmem__def) ).
thf(319,axiom,
! [V4: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ V4 @ ( hF_Mirabelle_RepFun @ A2 @ F ) )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ A2 )
& ( V4
= ( F @ U2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_RepFun__iff) ).
thf(320,axiom,
( hF_Mirabelle_HInter
= ( ^ [A4: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] :
! [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ A4 )
=> ( hF_Mirabelle_hmem @ X3 @ Y3 ) )
@ ( hF_Mirabelle_HUnion @ A4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_HInter__def) ).
thf(321,axiom,
( inf_in956532509lle_hf
= ( ^ [A3: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ B2 )
@ A3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_inf__hf__def) ).
thf(322,axiom,
( minus_1232880740lle_hf
= ( ^ [A4: hF_Mirabelle_hf,B4: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X3 @ B4 )
@ A4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_minus__hf__def) ).
thf(325,axiom,
( hF_Mirabelle_HBall
= ( ^ [A4: hF_Mirabelle_hf,P2: hF_Mirabelle_hf > $o] :
! [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X3 @ A4 )
=> ( P2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_HBall__def) ).
thf(326,axiom,
! [A2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,P: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,Q: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( A2 = B3 )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ B3 )
=> ( ( P @ X @ Y4 )
= ( Q @ X @ Y4 ) ) )
=> ( ( hF_Mirabelle_Replace @ A2 @ P )
= ( hF_Mirabelle_Replace @ B3 @ Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_Replace__cong) ).
thf(327,axiom,
! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ Y2 )
=> ( ( hF_Mirabelle_HUnion @ X2 )
!= Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_hmem__Sup__ne) ).
thf(328,axiom,
! [A2: hF_Mirabelle_hf,A5: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,P3: hF_Mirabelle_hf > $o] :
( ( A2 = A5 )
=> ( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A5 )
=> ( ( P @ X )
= ( P3 @ X ) ) )
=> ( ( hF_Mirabelle_HBall @ A2 @ P )
= ( hF_Mirabelle_HBall @ A5 @ P3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_hball__cong) ).
thf(329,axiom,
! [A: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_hmem @ A @ A2 )
=> ( ( P @ A )
=> ( hF_Mirabelle_hmem @ A @ ( hF_Mir818139703ollect @ P @ A2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_HCollectI) ).
thf(330,axiom,
! [A: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,A2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ A @ ( hF_Mir818139703ollect @ P @ A2 ) )
=> ~ ( ( hF_Mirabelle_hmem @ A @ A2 )
=> ~ ( P @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_HCollectE) ).
thf(331,axiom,
! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_HBall @ A2 @ P )
=> ( ( hF_Mirabelle_hmem @ X2 @ A2 )
=> ( P @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_hbspec) ).
thf(332,axiom,
! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_HBall @ A2 @ P )
=> ( ~ ( P @ X2 )
=> ~ ( hF_Mirabelle_hmem @ X2 @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_hballE) ).
thf(333,axiom,
! [X2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mirabelle_HUnion @ A2 ) )
= ( ? [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ A2 )
& ( hF_Mirabelle_hmem @ X2 @ Y3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_HUnion__iff) ).
thf(334,axiom,
! [V4: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,R: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_hmem @ V4 @ ( hF_Mirabelle_Replace @ A2 @ R ) )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ A2 )
& ( R @ U2 @ V4 )
& ! [Y3: hF_Mirabelle_hf] :
( ( R @ U2 @ Y3 )
=> ( Y3 = V4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_Replace__iff) ).
thf(335,axiom,
! [X2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,A2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir818139703ollect @ P @ A2 ) )
= ( ( P @ X2 )
& ( hF_Mirabelle_hmem @ X2 @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_HCollect__iff) ).
thf(336,axiom,
! [A2: hF_Mirabelle_hf,R: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,V4: hF_Mirabelle_hf] :
( ! [U: hF_Mirabelle_hf,V: hF_Mirabelle_hf,V2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U @ A2 )
=> ( ( R @ U @ V )
=> ( ( R @ U @ V2 )
=> ( V2 = V ) ) ) )
=> ( ( hF_Mirabelle_hmem @ V4 @ ( hF_Mir1248913145eplace @ A2 @ R ) )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ A2 )
& ( R @ U2 @ V4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_PrimReplace__iff) ).
thf(337,axiom,
! [A2: hF_Mirabelle_hf,P: $o] :
( ( hF_Mirabelle_HBall @ A2
@ ^ [X3: hF_Mirabelle_hf] : P )
= ( ? [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ A2 )
=> P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_hball__triv) ).
thf(338,axiom,
! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A2 )
=> ( P @ X ) )
=> ( hF_Mirabelle_HBall @ A2 @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_hballI) ).
thf(339,axiom,
! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,A: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ A2
@ ^ [X3: hF_Mirabelle_hf] :
~ ( P @ X3 ) )
=> ( P @ A ) )
=> ( ( hF_Mirabelle_hmem @ A @ A2 )
=> ( hF_Mirabelle_HBex @ A2 @ P ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_HF__Mirabelle__glliljednj_ObexCI) ).
thf(340,axiom,
! [X2: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf] :
? [Z2: hF_Mirabelle_hf] :
! [V3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ V3 @ Z2 )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ X2 )
& ( V3
= ( F @ U2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_replacement__fun) ).
thf(341,axiom,
! [X2: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X2 @ X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_hmem__not__refl) ).
thf(342,axiom,
! [X2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
? [Z2: hF_Mirabelle_hf] :
! [U3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U3 @ Z2 )
= ( ( hF_Mirabelle_hmem @ U3 @ X2 )
& ( P @ U3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_comprehension) ).
thf(343,axiom,
! [X2: hF_Mirabelle_hf] :
? [Z2: hF_Mirabelle_hf] :
! [U3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U3 @ Z2 )
= ( ? [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ X2 )
& ( hF_Mirabelle_hmem @ U3 @ Y3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_union__of__set) ).
thf(344,axiom,
! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
~ ( ( hF_Mirabelle_hmem @ X2 @ Y2 )
& ( hF_Mirabelle_hmem @ Y2 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_hmem__not__sym) ).
thf(345,axiom,
! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
? [Z2: hF_Mirabelle_hf] :
! [U3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U3 @ Z2 )
= ( ( hF_Mirabelle_hmem @ U3 @ X2 )
| ( hF_Mirabelle_hmem @ U3 @ Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_binary__union) ).
thf(346,axiom,
! [X2: hF_Mirabelle_hf,R: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ! [U: hF_Mirabelle_hf,V: hF_Mirabelle_hf,V2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U @ X2 )
=> ( ( R @ U @ V )
=> ( ( R @ U @ V2 )
=> ( V2 = V ) ) ) )
=> ? [Z2: hF_Mirabelle_hf] :
! [V3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ V3 @ Z2 )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ X2 )
& ( R @ U2 @ V3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_replacement) ).
thf(347,axiom,
! [X2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_hmem @ X2 @ A2 )
=> ( ( P @ X2 )
=> ( hF_Mirabelle_HBex @ A2 @ P ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_rev__hbexI) ).
thf(348,axiom,
! [A2: hF_Mirabelle_hf,A5: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,P3: hF_Mirabelle_hf > $o] :
( ( A2 = A5 )
=> ( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A5 )
=> ( ( P @ X )
= ( P3 @ X ) ) )
=> ( ( hF_Mirabelle_HBex @ A2 @ P )
= ( hF_Mirabelle_HBex @ A5 @ P3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_hbex__cong) ).
thf(349,axiom,
( hF_Mirabelle_HBex
= ( ^ [A4: hF_Mirabelle_hf,P2: hF_Mirabelle_hf > $o] :
? [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X3 @ A4 )
& ( P2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_HBex__def) ).
thf(350,axiom,
! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ Y2 )
=> ( X2 != Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_hmem__ne) ).
thf(351,axiom,
( ( ^ [Y: hF_Mirabelle_hf,Z: hF_Mirabelle_hf] : ( Y = Z ) )
= ( ^ [A3: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
! [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X3 @ A3 )
= ( hF_Mirabelle_hmem @ X3 @ B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_hf__ext) ).
thf(352,axiom,
! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_HBex @ A2 @ P )
=> ~ ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A2 )
=> ~ ( P @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_hbexE) ).
thf(353,axiom,
! [P: hF_Mirabelle_hf > $o,X2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( P @ X2 )
=> ( ( hF_Mirabelle_hmem @ X2 @ A2 )
=> ( hF_Mirabelle_HBex @ A2 @ P ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_hbexI) ).
thf(354,axiom,
! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A )
= ( hF_Mirabelle_hmem @ X @ B ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_hf__equalityI) ).
thf(355,conjecture,
( ( hF_Mirabelle_HBex @ a
@ ^ [X3: hF_Mirabelle_hf] : p )
= ( ? [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ a )
& p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(356,negated_conjecture,
( ( ( hF_Mirabelle_HBex @ a
@ ^ [X3: hF_Mirabelle_hf] : p )
= ( ? [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ a )
& p ) )
= $false ),
inference(negate_conjecture,[status(cth)],[355]) ).
thf(357,plain,
( ( ( hF_Mirabelle_HBex @ a
@ ^ [X3: hF_Mirabelle_hf] : p )
= ( ? [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ a )
& p ) )
= $false ),
inference(unfold_def,[status(thm)],[356]) ).
thf(358,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(359,plain,
( ( hF_Mirabelle_HUnion
= ( ^ [A4: hF_Mirabelle_hf] :
( the_HF_Mirabelle_hf
@ ^ [Z3: hF_Mirabelle_hf] :
! [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ Z3 )
= ( ? [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ A4 )
& ( hF_Mirabelle_hmem @ U2 @ Y3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(360,plain,
( ( hF_Mir1248913145eplace
= ( ^ [A4: hF_Mirabelle_hf,R2: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( the_HF_Mirabelle_hf
@ ^ [Z3: hF_Mirabelle_hf] :
! [V5: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ V5 @ Z3 )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ A4 )
& ( R2 @ U2 @ V5 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(361,plain,
( ( ! [X2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) @ B3 )
= ( minus_1232880740lle_hf @ A2 @ B3 ) ) )
& ( ~ ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) @ B3 )
= ( hF_Mirabelle_hinsert @ X2 @ ( minus_1232880740lle_hf @ A2 @ B3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(362,plain,
( ( ! [X2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) @ B3 )
= ( hF_Mirabelle_hinsert @ X2 @ ( inf_in956532509lle_hf @ A2 @ B3 ) ) ) )
& ( ~ ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) @ B3 )
= ( inf_in956532509lle_hf @ A2 @ B3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(363,plain,
( ( ! [X2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( inf_in956532509lle_hf @ B3 @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) )
= ( hF_Mirabelle_hinsert @ X2 @ ( inf_in956532509lle_hf @ B3 @ A2 ) ) ) )
& ( ~ ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( inf_in956532509lle_hf @ B3 @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) )
= ( inf_in956532509lle_hf @ B3 @ A2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(364,plain,
( ( ! [P: hF_Mirabelle_hf > $o,Z4: hF_Mirabelle_hf] :
( ( P @ zero_z189798548lle_hf )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( P @ X )
=> ( ( P @ Y4 )
=> ( ~ ( hF_Mirabelle_hmem @ X @ Y4 )
=> ( P @ ( hF_Mirabelle_hinsert @ X @ Y4 ) ) ) ) )
=> ( P @ Z4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(365,plain,
( ( ! [Y2: hF_Mirabelle_hf] :
( ( Y2 != zero_z189798548lle_hf )
=> ~ ! [A7: hF_Mirabelle_hf,B6: hF_Mirabelle_hf] :
( ( Y2
= ( hF_Mirabelle_hinsert @ A7 @ B6 ) )
=> ( hF_Mirabelle_hmem @ A7 @ B6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(366,plain,
( ( ! [Z4: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( Z4
= ( hF_Mirabelle_hinsert @ Y2 @ X2 ) )
= ( ! [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ Z4 )
= ( ( hF_Mirabelle_hmem @ U2 @ X2 )
| ( U2 = Y2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(367,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ A @ ( hF_Mirabelle_hinsert @ B @ C ) )
= ( ( A = B )
| ( hF_Mirabelle_hmem @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(368,plain,
( ( ! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ zero_z189798548lle_hf @ ( hF_Mirabelle_hpair @ X2 @ Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(369,plain,
( ( hF_Mir818139703ollect
= ( ^ [P2: hF_Mirabelle_hf > $o,A4: hF_Mirabelle_hf] :
( the_HF_Mirabelle_hf
@ ^ [Z3: hF_Mirabelle_hf] :
! [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ Z3 )
= ( ( P2 @ U2 )
& ( hF_Mirabelle_hmem @ U2 @ A4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(370,plain,
( ( ! [A2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,G: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( A2 = B3 )
=> ( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ B3 )
=> ( ( F @ X )
= ( G @ X ) ) )
=> ( ( hF_Mirabelle_RepFun @ A2 @ F )
= ( hF_Mirabelle_RepFun @ B3 @ G ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[297]) ).
thf(371,plain,
( ( ! [A: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ A @ zero_z189798548lle_hf ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(372,plain,
( ( ! [Z4: hF_Mirabelle_hf] :
( ( Z4 = zero_z189798548lle_hf )
= ( ! [X3: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X3 @ Z4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(373,plain,
( ( ! [A: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ A @ zero_z189798548lle_hf ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(374,plain,
( ( ! [Z4: hF_Mirabelle_hf] :
( ( Z4 != zero_z189798548lle_hf )
=> ? [W: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ W @ Z4 )
& ( ( inf_in956532509lle_hf @ W @ Z4 )
= zero_z189798548lle_hf ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(375,plain,
( ( ! [A2: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( A2 != zero_z189798548lle_hf )
=> ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mirabelle_HInter @ A2 ) )
= ( ! [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ A2 )
=> ( hF_Mirabelle_hmem @ X2 @ Y3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(376,plain,
( ( ! [U4: hF_Mirabelle_hf,X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U4 @ ( minus_1232880740lle_hf @ X2 @ Y2 ) )
= ( ( hF_Mirabelle_hmem @ U4 @ X2 )
& ~ ( hF_Mirabelle_hmem @ U4 @ Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(377,plain,
( ( ! [U4: hF_Mirabelle_hf,X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U4 @ ( inf_in956532509lle_hf @ X2 @ Y2 ) )
= ( ( hF_Mirabelle_hmem @ U4 @ X2 )
& ( hF_Mirabelle_hmem @ U4 @ Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(378,plain,
( ( hF_Mirabelle_hmem
= ( ^ [A3: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] : ( member1367349282lle_hf @ A3 @ ( hF_Mirabelle_hfset @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(379,plain,
( ( ! [V4: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ V4 @ ( hF_Mirabelle_RepFun @ A2 @ F ) )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ A2 )
& ( V4
= ( F @ U2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(380,plain,
( ( hF_Mirabelle_HInter
= ( ^ [A4: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] :
! [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ A4 )
=> ( hF_Mirabelle_hmem @ X3 @ Y3 ) )
@ ( hF_Mirabelle_HUnion @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[320]) ).
thf(381,plain,
( ( inf_in956532509lle_hf
= ( ^ [A3: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ B2 )
@ A3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(382,plain,
( ( minus_1232880740lle_hf
= ( ^ [A4: hF_Mirabelle_hf,B4: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X3 @ B4 )
@ A4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(383,plain,
( ( hF_Mirabelle_HBall
= ( ^ [A4: hF_Mirabelle_hf,P2: hF_Mirabelle_hf > $o] :
! [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X3 @ A4 )
=> ( P2 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(384,plain,
( ( ! [A2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,P: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,Q: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( A2 = B3 )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ B3 )
=> ( ( P @ X @ Y4 )
= ( Q @ X @ Y4 ) ) )
=> ( ( hF_Mirabelle_Replace @ A2 @ P )
= ( hF_Mirabelle_Replace @ B3 @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(385,plain,
( ( ! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ Y2 )
=> ( ( hF_Mirabelle_HUnion @ X2 )
!= Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(386,plain,
( ( ! [A2: hF_Mirabelle_hf,A5: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,P3: hF_Mirabelle_hf > $o] :
( ( A2 = A5 )
=> ( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A5 )
=> ( ( P @ X )
= ( P3 @ X ) ) )
=> ( ( hF_Mirabelle_HBall @ A2 @ P )
= ( hF_Mirabelle_HBall @ A5 @ P3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(387,plain,
( ( ! [A: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_hmem @ A @ A2 )
=> ( ( P @ A )
=> ( hF_Mirabelle_hmem @ A @ ( hF_Mir818139703ollect @ P @ A2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(388,plain,
( ( ! [A: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,A2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ A @ ( hF_Mir818139703ollect @ P @ A2 ) )
=> ~ ( ( hF_Mirabelle_hmem @ A @ A2 )
=> ~ ( P @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(389,plain,
( ( ! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_HBall @ A2 @ P )
=> ( ( hF_Mirabelle_hmem @ X2 @ A2 )
=> ( P @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(390,plain,
( ( ! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_HBall @ A2 @ P )
=> ( ~ ( P @ X2 )
=> ~ ( hF_Mirabelle_hmem @ X2 @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(391,plain,
( ( ! [X2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mirabelle_HUnion @ A2 ) )
= ( ? [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ A2 )
& ( hF_Mirabelle_hmem @ X2 @ Y3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(392,plain,
( ( ! [V4: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,R: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_hmem @ V4 @ ( hF_Mirabelle_Replace @ A2 @ R ) )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ A2 )
& ( R @ U2 @ V4 )
& ! [Y3: hF_Mirabelle_hf] :
( ( R @ U2 @ Y3 )
=> ( Y3 = V4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(393,plain,
( ( ! [X2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,A2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir818139703ollect @ P @ A2 ) )
= ( ( P @ X2 )
& ( hF_Mirabelle_hmem @ X2 @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(394,plain,
( ( ! [A2: hF_Mirabelle_hf,R: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,V4: hF_Mirabelle_hf] :
( ! [U: hF_Mirabelle_hf,V: hF_Mirabelle_hf,V2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U @ A2 )
=> ( ( R @ U @ V )
=> ( ( R @ U @ V2 )
=> ( V2 = V ) ) ) )
=> ( ( hF_Mirabelle_hmem @ V4 @ ( hF_Mir1248913145eplace @ A2 @ R ) )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ A2 )
& ( R @ U2 @ V4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(395,plain,
( ( ! [A2: hF_Mirabelle_hf,P: $o] :
( ( hF_Mirabelle_HBall @ A2
@ ^ [X3: hF_Mirabelle_hf] : P )
= ( ? [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ A2 )
=> P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(396,plain,
( ( ! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A2 )
=> ( P @ X ) )
=> ( hF_Mirabelle_HBall @ A2 @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(397,plain,
( ( ! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,A: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ A2
@ ^ [X3: hF_Mirabelle_hf] :
~ ( P @ X3 ) )
=> ( P @ A ) )
=> ( ( hF_Mirabelle_hmem @ A @ A2 )
=> ( hF_Mirabelle_HBex @ A2 @ P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(398,plain,
( ( ! [X2: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf] :
? [Z2: hF_Mirabelle_hf] :
! [V3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ V3 @ Z2 )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ X2 )
& ( V3
= ( F @ U2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(399,plain,
( ( ! [X2: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X2 @ X2 ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(400,plain,
( ( ! [X2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
? [Z2: hF_Mirabelle_hf] :
! [U3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U3 @ Z2 )
= ( ( hF_Mirabelle_hmem @ U3 @ X2 )
& ( P @ U3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(401,plain,
( ( ! [X2: hF_Mirabelle_hf] :
? [Z2: hF_Mirabelle_hf] :
! [U3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U3 @ Z2 )
= ( ? [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ X2 )
& ( hF_Mirabelle_hmem @ U3 @ Y3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(402,plain,
( ( ! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
~ ( ( hF_Mirabelle_hmem @ X2 @ Y2 )
& ( hF_Mirabelle_hmem @ Y2 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(403,plain,
( ( ! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
? [Z2: hF_Mirabelle_hf] :
! [U3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U3 @ Z2 )
= ( ( hF_Mirabelle_hmem @ U3 @ X2 )
| ( hF_Mirabelle_hmem @ U3 @ Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(404,plain,
( ( ! [X2: hF_Mirabelle_hf,R: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ! [U: hF_Mirabelle_hf,V: hF_Mirabelle_hf,V2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U @ X2 )
=> ( ( R @ U @ V )
=> ( ( R @ U @ V2 )
=> ( V2 = V ) ) ) )
=> ? [Z2: hF_Mirabelle_hf] :
! [V3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ V3 @ Z2 )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ X2 )
& ( R @ U2 @ V3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(405,plain,
( ( ! [X2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_hmem @ X2 @ A2 )
=> ( ( P @ X2 )
=> ( hF_Mirabelle_HBex @ A2 @ P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(406,plain,
( ( ! [A2: hF_Mirabelle_hf,A5: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,P3: hF_Mirabelle_hf > $o] :
( ( A2 = A5 )
=> ( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A5 )
=> ( ( P @ X )
= ( P3 @ X ) ) )
=> ( ( hF_Mirabelle_HBex @ A2 @ P )
= ( hF_Mirabelle_HBex @ A5 @ P3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(407,plain,
( ( hF_Mirabelle_HBex
= ( ^ [A4: hF_Mirabelle_hf,P2: hF_Mirabelle_hf > $o] :
? [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X3 @ A4 )
& ( P2 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(408,plain,
( ( ! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ Y2 )
=> ( X2 != Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(409,plain,
( ( ( ^ [Y: hF_Mirabelle_hf,Z: hF_Mirabelle_hf] : ( Y = Z ) )
= ( ^ [A3: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
! [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X3 @ A3 )
= ( hF_Mirabelle_hmem @ X3 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(410,plain,
( ( ! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_HBex @ A2 @ P )
=> ~ ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A2 )
=> ~ ( P @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(411,plain,
( ( ! [P: hF_Mirabelle_hf > $o,X2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( P @ X2 )
=> ( ( hF_Mirabelle_hmem @ X2 @ A2 )
=> ( hF_Mirabelle_HBex @ A2 @ P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(412,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A )
= ( hF_Mirabelle_hmem @ X @ B ) )
=> ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(413,plain,
( ( ( hF_Mirabelle_HBex @ a
@ ^ [X3: hF_Mirabelle_hf] : p )
!= ( ? [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ a )
& p ) )
= $true ),
inference(polarity_switch,[status(thm)],[357]) ).
thf(414,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf] :
( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A )
= ( hF_Mirabelle_hmem @ X @ B ) )
=> ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(415,plain,
( ( ! [P: hF_Mirabelle_hf > $o,X2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( P @ X2 )
=> ( ( hF_Mirabelle_hmem @ X2 @ A2 )
=> ( hF_Mirabelle_HBex @ A2 @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(416,plain,
( ( ! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_HBex @ A2 @ P )
=> ~ ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A2 )
=> ~ ( P @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(417,plain,
( ( ( ^ [Y: hF_Mirabelle_hf,Z: hF_Mirabelle_hf] : ( Y = Z ) )
= ( ^ [A3: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
! [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X3 @ A3 )
= ( hF_Mirabelle_hmem @ X3 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(418,plain,
( ( ! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ Y2 )
=> ( X2 != Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(419,plain,
( ( hF_Mirabelle_HBex
= ( ^ [A4: hF_Mirabelle_hf,P2: hF_Mirabelle_hf > $o] :
? [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X3 @ A4 )
& ( P2 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(420,plain,
( ( ! [A2: hF_Mirabelle_hf,A5: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,P3: hF_Mirabelle_hf > $o] :
( ( A2 = A5 )
=> ( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A5 )
=> ( ( P @ X )
= ( P3 @ X ) ) )
=> ( ( hF_Mirabelle_HBex @ A2 @ P )
= ( hF_Mirabelle_HBex @ A5 @ P3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(421,plain,
( ( ! [X2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_hmem @ X2 @ A2 )
=> ( ( P @ X2 )
=> ( hF_Mirabelle_HBex @ A2 @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(422,plain,
( ( ! [X2: hF_Mirabelle_hf,R: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ! [U: hF_Mirabelle_hf,V: hF_Mirabelle_hf,V2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U @ X2 )
=> ( ( R @ U @ V )
=> ( ( R @ U @ V2 )
=> ( V2 = V ) ) ) )
=> ? [Z2: hF_Mirabelle_hf] :
! [V3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ V3 @ Z2 )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ X2 )
& ( R @ U2 @ V3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(423,plain,
( ( ! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
? [Z2: hF_Mirabelle_hf] :
! [U3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U3 @ Z2 )
= ( ( hF_Mirabelle_hmem @ U3 @ X2 )
| ( hF_Mirabelle_hmem @ U3 @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(424,plain,
( ( ! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
~ ( ( hF_Mirabelle_hmem @ X2 @ Y2 )
& ( hF_Mirabelle_hmem @ Y2 @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(425,plain,
( ( ! [X2: hF_Mirabelle_hf] :
? [Z2: hF_Mirabelle_hf] :
! [U3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U3 @ Z2 )
= ( ? [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ X2 )
& ( hF_Mirabelle_hmem @ U3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(426,plain,
( ( ! [X2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
? [Z2: hF_Mirabelle_hf] :
! [U3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U3 @ Z2 )
= ( ( hF_Mirabelle_hmem @ U3 @ X2 )
& ( P @ U3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(427,plain,
( ( ! [X2: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X2 @ X2 ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(428,plain,
( ( ! [X2: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf] :
? [Z2: hF_Mirabelle_hf] :
! [V3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ V3 @ Z2 )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ X2 )
& ( V3
= ( F @ U2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(429,plain,
( ( ! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,A: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ A2
@ ^ [X3: hF_Mirabelle_hf] :
~ ( P @ X3 ) )
=> ( P @ A ) )
=> ( ( hF_Mirabelle_hmem @ A @ A2 )
=> ( hF_Mirabelle_HBex @ A2 @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(430,plain,
( ( ! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A2 )
=> ( P @ X ) )
=> ( hF_Mirabelle_HBall @ A2 @ P ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(431,plain,
( ( ! [A2: hF_Mirabelle_hf,P: $o] :
( ( hF_Mirabelle_HBall @ A2
@ ^ [X3: hF_Mirabelle_hf] : P )
= ( ? [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ A2 )
=> P ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(432,plain,
( ( ! [A2: hF_Mirabelle_hf,R: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,V4: hF_Mirabelle_hf] :
( ! [U: hF_Mirabelle_hf,V: hF_Mirabelle_hf,V2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U @ A2 )
=> ( ( R @ U @ V )
=> ( ( R @ U @ V2 )
=> ( V2 = V ) ) ) )
=> ( ( hF_Mirabelle_hmem @ V4 @ ( hF_Mir1248913145eplace @ A2 @ R ) )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ A2 )
& ( R @ U2 @ V4 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(433,plain,
( ( ! [X2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,A2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir818139703ollect @ P @ A2 ) )
= ( ( P @ X2 )
& ( hF_Mirabelle_hmem @ X2 @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(434,plain,
( ( ! [V4: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,R: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_hmem @ V4 @ ( hF_Mirabelle_Replace @ A2 @ R ) )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ A2 )
& ( R @ U2 @ V4 )
& ! [Y3: hF_Mirabelle_hf] :
( ( R @ U2 @ Y3 )
=> ( Y3 = V4 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(435,plain,
( ( ! [X2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mirabelle_HUnion @ A2 ) )
= ( ? [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ A2 )
& ( hF_Mirabelle_hmem @ X2 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(436,plain,
( ( ! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_HBall @ A2 @ P )
=> ( ~ ( P @ X2 )
=> ~ ( hF_Mirabelle_hmem @ X2 @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(437,plain,
( ( ! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_HBall @ A2 @ P )
=> ( ( hF_Mirabelle_hmem @ X2 @ A2 )
=> ( P @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(438,plain,
( ( ! [A: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,A2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ A @ ( hF_Mir818139703ollect @ P @ A2 ) )
=> ~ ( ( hF_Mirabelle_hmem @ A @ A2 )
=> ~ ( P @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(439,plain,
( ( ! [A: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_hmem @ A @ A2 )
=> ( ( P @ A )
=> ( hF_Mirabelle_hmem @ A @ ( hF_Mir818139703ollect @ P @ A2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(440,plain,
( ( ! [A2: hF_Mirabelle_hf,A5: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o,P3: hF_Mirabelle_hf > $o] :
( ( A2 = A5 )
=> ( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ A5 )
=> ( ( P @ X )
= ( P3 @ X ) ) )
=> ( ( hF_Mirabelle_HBall @ A2 @ P )
= ( hF_Mirabelle_HBall @ A5 @ P3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(441,plain,
( ( ! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ Y2 )
=> ( ( hF_Mirabelle_HUnion @ X2 )
!= Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(442,plain,
( ( ! [A2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,P: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,Q: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( A2 = B3 )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ B3 )
=> ( ( P @ X @ Y4 )
= ( Q @ X @ Y4 ) ) )
=> ( ( hF_Mirabelle_Replace @ A2 @ P )
= ( hF_Mirabelle_Replace @ B3 @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(443,plain,
( ( hF_Mirabelle_HBall
= ( ^ [A4: hF_Mirabelle_hf,P2: hF_Mirabelle_hf > $o] :
! [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X3 @ A4 )
=> ( P2 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(444,plain,
( ( minus_1232880740lle_hf
= ( ^ [A4: hF_Mirabelle_hf,B4: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X3 @ B4 )
@ A4 ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(445,plain,
( ( inf_in956532509lle_hf
= ( ^ [A3: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ B2 )
@ A3 ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(446,plain,
( ( hF_Mirabelle_HInter
= ( ^ [A4: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] :
! [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ A4 )
=> ( hF_Mirabelle_hmem @ X3 @ Y3 ) )
@ ( hF_Mirabelle_HUnion @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(447,plain,
( ( ! [V4: hF_Mirabelle_hf,A2: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ V4 @ ( hF_Mirabelle_RepFun @ A2 @ F ) )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ A2 )
& ( V4
= ( F @ U2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(448,plain,
( ( hF_Mirabelle_hmem
= ( ^ [A3: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] : ( member1367349282lle_hf @ A3 @ ( hF_Mirabelle_hfset @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(449,plain,
( ( ! [U4: hF_Mirabelle_hf,X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U4 @ ( inf_in956532509lle_hf @ X2 @ Y2 ) )
= ( ( hF_Mirabelle_hmem @ U4 @ X2 )
& ( hF_Mirabelle_hmem @ U4 @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(450,plain,
( ( ! [U4: hF_Mirabelle_hf,X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U4 @ ( minus_1232880740lle_hf @ X2 @ Y2 ) )
= ( ( hF_Mirabelle_hmem @ U4 @ X2 )
& ~ ( hF_Mirabelle_hmem @ U4 @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(451,plain,
( ( ! [A2: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( A2 != zero_z189798548lle_hf )
=> ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mirabelle_HInter @ A2 ) )
= ( ! [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ A2 )
=> ( hF_Mirabelle_hmem @ X2 @ Y3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(452,plain,
( ( ! [Z4: hF_Mirabelle_hf] :
( ( Z4 != zero_z189798548lle_hf )
=> ? [W: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ W @ Z4 )
& ( ( inf_in956532509lle_hf @ W @ Z4 )
= zero_z189798548lle_hf ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(453,plain,
( ( ! [A: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ A @ zero_z189798548lle_hf ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(454,plain,
( ( ! [Z4: hF_Mirabelle_hf] :
( ( Z4 = zero_z189798548lle_hf )
= ( ! [X3: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X3 @ Z4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(455,plain,
( ( ! [A: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ A @ zero_z189798548lle_hf ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(456,plain,
( ( ! [A2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,F: hF_Mirabelle_hf > hF_Mirabelle_hf,G: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( A2 = B3 )
=> ( ! [X: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X @ B3 )
=> ( ( F @ X )
= ( G @ X ) ) )
=> ( ( hF_Mirabelle_RepFun @ A2 @ F )
= ( hF_Mirabelle_RepFun @ B3 @ G ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(457,plain,
( ( hF_Mir818139703ollect
= ( ^ [P2: hF_Mirabelle_hf > $o,A4: hF_Mirabelle_hf] :
( the_HF_Mirabelle_hf
@ ^ [Z3: hF_Mirabelle_hf] :
! [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ Z3 )
= ( ( P2 @ U2 )
& ( hF_Mirabelle_hmem @ U2 @ A4 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(458,plain,
( ( ! [X2: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ zero_z189798548lle_hf @ ( hF_Mirabelle_hpair @ X2 @ Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(459,plain,
( ( ! [A: hF_Mirabelle_hf,B: hF_Mirabelle_hf,C: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ A @ ( hF_Mirabelle_hinsert @ B @ C ) )
= ( ( A = B )
| ( hF_Mirabelle_hmem @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(460,plain,
( ( ! [Z4: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( Z4
= ( hF_Mirabelle_hinsert @ Y2 @ X2 ) )
= ( ! [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ Z4 )
= ( ( hF_Mirabelle_hmem @ U2 @ X2 )
| ( U2 = Y2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(461,plain,
( ( ! [Y2: hF_Mirabelle_hf] :
( ( Y2 != zero_z189798548lle_hf )
=> ~ ! [A7: hF_Mirabelle_hf,B6: hF_Mirabelle_hf] :
( ( Y2
= ( hF_Mirabelle_hinsert @ A7 @ B6 ) )
=> ( hF_Mirabelle_hmem @ A7 @ B6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(462,plain,
( ( ! [P: hF_Mirabelle_hf > $o,Z4: hF_Mirabelle_hf] :
( ( P @ zero_z189798548lle_hf )
=> ( ! [X: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] :
( ( P @ X )
=> ( ( P @ Y4 )
=> ( ~ ( hF_Mirabelle_hmem @ X @ Y4 )
=> ( P @ ( hF_Mirabelle_hinsert @ X @ Y4 ) ) ) ) )
=> ( P @ Z4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(463,plain,
( ( ! [X2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( inf_in956532509lle_hf @ B3 @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) )
= ( hF_Mirabelle_hinsert @ X2 @ ( inf_in956532509lle_hf @ B3 @ A2 ) ) ) )
& ( ~ ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( inf_in956532509lle_hf @ B3 @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) )
= ( inf_in956532509lle_hf @ B3 @ A2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(464,plain,
( ( ! [X2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) @ B3 )
= ( hF_Mirabelle_hinsert @ X2 @ ( inf_in956532509lle_hf @ A2 @ B3 ) ) ) )
& ( ~ ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) @ B3 )
= ( inf_in956532509lle_hf @ A2 @ B3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(465,plain,
( ( ! [X2: hF_Mirabelle_hf,B3: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) @ B3 )
= ( minus_1232880740lle_hf @ A2 @ B3 ) ) )
& ( ~ ( hF_Mirabelle_hmem @ X2 @ B3 )
=> ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ X2 @ A2 ) @ B3 )
= ( hF_Mirabelle_hinsert @ X2 @ ( minus_1232880740lle_hf @ A2 @ B3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(466,plain,
( ( hF_Mir1248913145eplace
= ( ^ [A4: hF_Mirabelle_hf,R2: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( the_HF_Mirabelle_hf
@ ^ [Z3: hF_Mirabelle_hf] :
! [V5: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ V5 @ Z3 )
= ( ? [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ A4 )
& ( R2 @ U2 @ V5 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(467,plain,
( ( hF_Mirabelle_HUnion
= ( ^ [A4: hF_Mirabelle_hf] :
( the_HF_Mirabelle_hf
@ ^ [Z3: hF_Mirabelle_hf] :
! [U2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ U2 @ Z3 )
= ( ? [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y3 @ A4 )
& ( hF_Mirabelle_hmem @ U2 @ Y3 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(468,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(469,plain,
( ( ( hF_Mirabelle_HBex @ a
@ ^ [X3: hF_Mirabelle_hf] : p )
!= ( ? [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ a )
& p ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(470,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( ( SX0 != zero_z189798548lle_hf ) )
| ( ( hF_Mirabelle_hmem @ SX1 @ ( hF_Mirabelle_HInter @ SX0 ) )
= ( ! [SX2: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ( hF_Mirabelle_hmem @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(471,plain,
( ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
!= ( ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(472,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SX3: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( SX0 != SX1 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX4 @ SX1 )
| ( ( SX2 @ SX4 @ SX5 )
= ( SX3 @ SX4 @ SX5 ) ) )
| ( ( hF_Mirabelle_Replace @ SX0 @ SX2 )
= ( hF_Mirabelle_Replace @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(473,plain,
( ( ! [SX0: hF_Mirabelle_hf > $o,SX1: hF_Mirabelle_hf] :
( ~ ( SX0 @ zero_z189798548lle_hf )
| ~ ! [SX2: hF_Mirabelle_hf,SX3: hF_Mirabelle_hf] :
( ~ ( SX0 @ SX2 )
| ~ ( SX0 @ SX3 )
| ~ ~ ( hF_Mirabelle_hmem @ SX2 @ SX3 )
| ( SX0 @ ( hF_Mirabelle_hinsert @ SX2 @ SX3 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(474,plain,
( ( hF_Mirabelle_HUnion
= ( ^ [SX0: hF_Mirabelle_hf] :
( the_HF_Mirabelle_hf
@ ^ [SX1: hF_Mirabelle_hf] :
! [SX2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX2 @ SX1 )
= ( ~ ! [SX3: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX3 @ SX0 )
| ~ ( hF_Mirabelle_hmem @ SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(475,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > $o,SX2: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX0 @ ( hF_Mir818139703ollect @ SX1 @ SX2 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SX0 @ SX2 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(476,plain,
( ( hF_Mir1248913145eplace
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( the_HF_Mirabelle_hf
@ ^ [SX2: hF_Mirabelle_hf] :
! [SX3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX3 @ SX2 )
= ( ~ ! [SX4: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX4 @ SX0 )
| ~ ( SX1 @ SX4 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(477,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX0 @ ( minus_1232880740lle_hf @ SX1 @ SX2 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SX0 @ SX1 )
| ~ ~ ( hF_Mirabelle_hmem @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(478,plain,
( ( hF_Mirabelle_HBall
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > $o] :
! [SX2: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(479,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ~ ! [SX2: hF_Mirabelle_hf,SX3: hF_Mirabelle_hf,SX4: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 @ SX3 )
| ~ ( SX1 @ SX2 @ SX4 )
| ( SX4 = SX3 ) )
| ~ ! [SX2: hF_Mirabelle_hf] :
~ ! [SX3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX3 @ SX2 )
= ( ~ ! [SX4: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX4 @ SX0 )
| ~ ( SX1 @ SX4 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[422]) ).
thf(480,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > $o,SX2: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_HBall @ SX0 @ SX1 )
| ~ ~ ( SX1 @ SX2 )
| ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436]) ).
thf(481,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > hF_Mirabelle_hf,SX3: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( SX0 != SX1 )
| ~ ! [SX4: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX4 @ SX1 )
| ( ( SX2 @ SX4 )
= ( SX3 @ SX4 ) ) )
| ( ( hF_Mirabelle_RepFun @ SX0 @ SX2 )
= ( hF_Mirabelle_RepFun @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(482,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX0 @ SX1 )
| ~ ( hF_Mirabelle_hmem @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[424]) ).
thf(483,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
~ ! [SX2: hF_Mirabelle_hf] :
~ ! [SX3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX3 @ SX2 )
= ( ( hF_Mirabelle_hmem @ SX3 @ SX0 )
| ( hF_Mirabelle_hmem @ SX3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[423]) ).
thf(484,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > $o,SX3: hF_Mirabelle_hf > $o] :
( ( SX0 != SX1 )
| ~ ! [SX4: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX4 @ SX1 )
| ( ( SX2 @ SX4 )
= ( SX3 @ SX4 ) ) )
| ( ( hF_Mirabelle_HBall @ SX0 @ SX2 )
= ( hF_Mirabelle_HBall @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440]) ).
thf(485,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[418]) ).
thf(486,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
~ ( ~ ( ~ ( hF_Mirabelle_hmem @ SX0 @ SX1 )
| ( ( inf_in956532509lle_hf @ SX1 @ ( hF_Mirabelle_hinsert @ SX0 @ SX2 ) )
= ( hF_Mirabelle_hinsert @ SX0 @ ( inf_in956532509lle_hf @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SX0 @ SX1 )
| ( ( inf_in956532509lle_hf @ SX1 @ ( hF_Mirabelle_hinsert @ SX0 @ SX2 ) )
= ( inf_in956532509lle_hf @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(487,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX0 @ ( hF_Mirabelle_HUnion @ SX1 ) )
= ( ~ ! [SX2: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX2 @ SX1 )
| ~ ( hF_Mirabelle_hmem @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(488,plain,
( ( hF_Mirabelle_HBex
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > $o] :
~ ! [SX2: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[419]) ).
thf(489,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: $o] :
( ( hF_Mirabelle_HBall @ SX0
@ ^ [SX2: hF_Mirabelle_hf] : SX1 )
= ( ~ ~ ! [SX2: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[431]) ).
thf(490,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > $o] :
~ ! [SX2: hF_Mirabelle_hf] :
~ ! [SX3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX3 @ SX2 )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SX3 @ SX0 )
| ~ ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[426]) ).
thf(491,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ! [SX2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX2 @ SX0 )
= ( hF_Mirabelle_hmem @ SX2 @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[414]) ).
thf(492,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > hF_Mirabelle_hf] :
~ ! [SX2: hF_Mirabelle_hf] :
~ ! [SX3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX3 @ SX2 )
= ( ~ ! [SX4: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX4 @ SX0 )
| ( SX3
!= ( SX1 @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[428]) ).
thf(493,plain,
( ( ! [SX0: hF_Mirabelle_hf] :
( ~ ( ( SX0 != zero_z189798548lle_hf ) )
| ~ ! [SX1: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX1 @ SX0 )
| ( ( inf_in956532509lle_hf @ SX1 @ SX0 )
!= zero_z189798548lle_hf ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(494,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
~ ( ~ ( ~ ( hF_Mirabelle_hmem @ SX0 @ SX1 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SX0 @ SX2 ) @ SX1 )
= ( hF_Mirabelle_hinsert @ SX0 @ ( inf_in956532509lle_hf @ SX2 @ SX1 ) ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SX0 @ SX1 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SX0 @ SX2 ) @ SX1 )
= ( inf_in956532509lle_hf @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(495,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX0 @ ( hF_Mirabelle_RepFun @ SX1 @ SX2 ) )
= ( ~ ! [SX3: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX3 @ SX1 )
| ( SX0
!= ( SX2 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(496,plain,
( ( ! [SX0: hF_Mirabelle_hf] :
( ~ ( ( SX0 != zero_z189798548lle_hf ) )
| ~ ! [SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ( SX0
!= ( hF_Mirabelle_hinsert @ SX1 @ SX2 ) )
| ( hF_Mirabelle_hmem @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(497,plain,
( ( hF_Mir818139703ollect
= ( ^ [SX0: hF_Mirabelle_hf > $o,SX1: hF_Mirabelle_hf] :
( the_HF_Mirabelle_hf
@ ^ [SX2: hF_Mirabelle_hf] :
! [SX3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX3 @ SX2 )
= ( ~ ( ~ ( SX0 @ SX3 )
| ~ ( hF_Mirabelle_hmem @ SX3 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(498,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > $o,SX3: hF_Mirabelle_hf > $o] :
( ( SX0 != SX1 )
| ~ ! [SX4: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX4 @ SX1 )
| ( ( SX2 @ SX4 )
= ( SX3 @ SX4 ) ) )
| ( ( hF_Mirabelle_HBex @ SX0 @ SX2 )
= ( hF_Mirabelle_HBex @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[420]) ).
thf(499,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > $o] :
( ~ ( hF_Mirabelle_hmem @ SX0 @ SX1 )
| ~ ( SX2 @ SX0 )
| ( hF_Mirabelle_HBex @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[421]) ).
thf(500,plain,
( ( ! [SX0: hF_Mirabelle_hf > $o,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ~ ( SX0 @ SX1 )
| ~ ( hF_Mirabelle_hmem @ SX1 @ SX2 )
| ( hF_Mirabelle_HBex @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[415]) ).
thf(501,plain,
( ( hF_Mirabelle_HInter
= ( ^ [SX0: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [SX1: hF_Mirabelle_hf] :
! [SX2: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ( hF_Mirabelle_hmem @ SX1 @ SX2 ) )
@ ( hF_Mirabelle_HUnion @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(502,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX0 @ SX1 )
| ( ( hF_Mirabelle_HUnion @ SX0 )
!= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(503,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SX2: hF_Mirabelle_hf] :
( ~ ! [SX3: hF_Mirabelle_hf,SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX3 @ SX0 )
| ~ ( SX1 @ SX3 @ SX4 )
| ~ ( SX1 @ SX3 @ SX5 )
| ( SX5 = SX4 ) )
| ( ( hF_Mirabelle_hmem @ SX2 @ ( hF_Mir1248913145eplace @ SX0 @ SX1 ) )
= ( ~ ! [SX3: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX3 @ SX0 )
| ~ ( SX1 @ SX3 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432]) ).
thf(504,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > $o] :
( ~ ( hF_Mirabelle_HBex @ SX0 @ SX1 )
| ~ ! [SX2: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(505,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_hmem @ SX0 @ ( hF_Mirabelle_Replace @ SX1 @ SX2 ) )
= ( ~ ! [SX3: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SX3 @ SX1 )
| ~ ( SX2 @ SX3 @ SX0 ) )
| ~ ! [SX4: hF_Mirabelle_hf] :
( ~ ( SX2 @ SX3 @ SX4 )
| ( SX4 = SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(506,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > $o] :
( ~ ! [SX2: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ( SX1 @ SX2 ) )
| ( hF_Mirabelle_HBall @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[430]) ).
thf(507,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > $o,SX2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX0 @ ( hF_Mir818139703ollect @ SX1 @ SX2 ) )
= ( ~ ( ~ ( SX1 @ SX0 )
| ~ ( hF_Mirabelle_hmem @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[433]) ).
thf(508,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX0 @ ( inf_in956532509lle_hf @ SX1 @ SX2 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SX0 @ SX1 )
| ~ ( hF_Mirabelle_hmem @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(509,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > $o,SX2: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_HBall @ SX0 @ SX1 )
| ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ( SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[437]) ).
thf(510,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > $o,SX2: hF_Mirabelle_hf] :
( ~ ( ~ ( hF_Mirabelle_HBall @ SX0
@ ^ [SX3: hF_Mirabelle_hf] :
~ ( SX1 @ SX3 ) )
| ( SX1 @ SX2 ) )
| ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ( hF_Mirabelle_HBex @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[429]) ).
thf(511,plain,
( ( ! [SX0: hF_Mirabelle_hf] :
~ ! [SX1: hF_Mirabelle_hf] :
~ ! [SX2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX2 @ SX1 )
= ( ~ ! [SX3: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX3 @ SX0 )
| ~ ( hF_Mirabelle_hmem @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[425]) ).
thf(512,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf] :
~ ( ~ ( ~ ( hF_Mirabelle_hmem @ SX0 @ SX1 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SX0 @ SX2 ) @ SX1 )
= ( minus_1232880740lle_hf @ SX2 @ SX1 ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SX0 @ SX1 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SX0 @ SX2 ) @ SX1 )
= ( hF_Mirabelle_hinsert @ SX0 @ ( minus_1232880740lle_hf @ SX2 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(513,plain,
( ( ! [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf,SX2: hF_Mirabelle_hf > $o] :
( ~ ( hF_Mirabelle_hmem @ SX0 @ SX1 )
| ~ ( SX2 @ SX0 )
| ( hF_Mirabelle_hmem @ SX0 @ ( hF_Mir818139703ollect @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(514,plain,
( ( ! [SV1: hF_Mirabelle_hf] :
( ( ^ [SY188: hF_Mirabelle_hf] : ( SV1 = SY188 ) )
= ( ^ [SY189: hF_Mirabelle_hf] :
! [SY190: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY190 @ SV1 )
= ( hF_Mirabelle_hmem @ SY190 @ SY189 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[417]) ).
thf(515,plain,
( ( ( ^ [Y: hF_Mirabelle_hf,Z: hF_Mirabelle_hf] : ( Y = Z ) )
= ( ^ [A3: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
! [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X3 @ A3 )
= ( hF_Mirabelle_hmem @ X3 @ B2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[417]) ).
thf(516,plain,
! [SV2: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV2 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(517,plain,
( ( ! [SV3: hF_Mirabelle_hf] :
( ( minus_1232880740lle_hf @ SV3 )
= ( ^ [SY191: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X3 @ SY191 )
@ SV3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[444]) ).
thf(518,plain,
( ( minus_1232880740lle_hf
= ( ^ [A4: hF_Mirabelle_hf,B4: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X3 @ B4 )
@ A4 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[444]) ).
thf(519,plain,
( ( ! [SV4: hF_Mirabelle_hf] :
( ( inf_in956532509lle_hf @ SV4 )
= ( ^ [SY193: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ SY193 )
@ SV4 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[445]) ).
thf(520,plain,
( ( inf_in956532509lle_hf
= ( ^ [A3: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ B2 )
@ A3 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[445]) ).
thf(521,plain,
( ( ! [SV5: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV5 )
= ( ^ [SY195: hF_Mirabelle_hf] : ( member1367349282lle_hf @ SV5 @ ( hF_Mirabelle_hfset @ SY195 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[448]) ).
thf(522,plain,
( ( hF_Mirabelle_hmem
= ( ^ [A3: hF_Mirabelle_hf,B2: hF_Mirabelle_hf] : ( member1367349282lle_hf @ A3 @ ( hF_Mirabelle_hfset @ B2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[448]) ).
thf(523,plain,
! [SV6: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV6 @ zero_z189798548lle_hf ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(524,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( SV7 = zero_z189798548lle_hf )
= ( ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(525,plain,
! [SV8: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV8 @ zero_z189798548lle_hf ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(526,plain,
! [SV9: hF_Mirabelle_hf] :
( ( ! [SY197: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ zero_z189798548lle_hf @ ( hF_Mirabelle_hpair @ SV9 @ SY197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(527,plain,
! [SV10: hF_Mirabelle_hf] :
( ( ! [SY198: hF_Mirabelle_hf,SY199: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SY198 @ SY199 ) )
= ( ( SV10 = SY198 )
| ( hF_Mirabelle_hmem @ SV10 @ SY199 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(528,plain,
! [SV11: hF_Mirabelle_hf] :
( ( ! [SY200: hF_Mirabelle_hf,SY201: hF_Mirabelle_hf] :
( ( SV11
= ( hF_Mirabelle_hinsert @ SY200 @ SY201 ) )
= ( ! [SY202: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY202 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY202 @ SY201 )
| ( SY202 = SY200 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(529,plain,
! [SV12: $o] :
( ( ( SV12 = $true )
| ( SV12 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[468]) ).
thf(530,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[468]) ).
thf(531,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[468]) ).
thf(532,plain,
! [SV13: hF_Mirabelle_hf] :
( ( ! [SY203: hF_Mirabelle_hf] :
( ~ ( ( SV13 != zero_z189798548lle_hf ) )
| ( ( hF_Mirabelle_hmem @ SY203 @ ( hF_Mirabelle_HInter @ SV13 ) )
= ( ! [SY204: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY204 @ SV13 )
| ( hF_Mirabelle_hmem @ SY203 @ SY204 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(533,plain,
( ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= ( ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(534,plain,
! [SV14: hF_Mirabelle_hf] :
( ( ! [SY205: hF_Mirabelle_hf,SY206: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SY207: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( SV14 != SY205 )
| ~ ! [SX4: hF_Mirabelle_hf,SX5: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX4 @ SY205 )
| ( ( SY206 @ SX4 @ SX5 )
= ( SY207 @ SX4 @ SX5 ) ) )
| ( ( hF_Mirabelle_Replace @ SV14 @ SY206 )
= ( hF_Mirabelle_Replace @ SY205 @ SY207 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(535,plain,
! [SV15: hF_Mirabelle_hf > $o] :
( ( ! [SY210: hF_Mirabelle_hf] :
( ~ ( SV15 @ zero_z189798548lle_hf )
| ~ ! [SY211: hF_Mirabelle_hf,SY212: hF_Mirabelle_hf] :
( ~ ( SV15 @ SY211 )
| ~ ( SV15 @ SY212 )
| ~ ~ ( hF_Mirabelle_hmem @ SY211 @ SY212 )
| ( SV15 @ ( hF_Mirabelle_hinsert @ SY211 @ SY212 ) ) )
| ( SV15 @ SY210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(536,plain,
( ( ! [SV16: hF_Mirabelle_hf] :
( ( hF_Mirabelle_HUnion @ SV16 )
= ( the_HF_Mirabelle_hf
@ ^ [SY213: hF_Mirabelle_hf] :
! [SY214: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY214 @ SY213 )
= ( ~ ! [SY215: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY215 @ SV16 )
| ~ ( hF_Mirabelle_hmem @ SY214 @ SY215 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[474]) ).
thf(537,plain,
( ( hF_Mirabelle_HUnion
= ( ^ [SX0: hF_Mirabelle_hf] :
( the_HF_Mirabelle_hf
@ ^ [SX1: hF_Mirabelle_hf] :
! [SX2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX2 @ SX1 )
= ( ~ ! [SX3: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX3 @ SX0 )
| ~ ( hF_Mirabelle_hmem @ SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[474]) ).
thf(538,plain,
! [SV17: hF_Mirabelle_hf] :
( ( ! [SY216: hF_Mirabelle_hf > $o,SY217: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SV17 @ ( hF_Mir818139703ollect @ SY216 @ SY217 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV17 @ SY217 )
| ~ ( SY216 @ SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(539,plain,
( ( ! [SV18: hF_Mirabelle_hf] :
( ( hF_Mir1248913145eplace @ SV18 )
= ( ^ [SY218: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( the_HF_Mirabelle_hf
@ ^ [SY219: hF_Mirabelle_hf] :
! [SY220: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY220 @ SY219 )
= ( ~ ! [SY221: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY221 @ SV18 )
| ~ ( SY218 @ SY221 @ SY220 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[476]) ).
thf(540,plain,
( ( hF_Mir1248913145eplace
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( the_HF_Mirabelle_hf
@ ^ [SX2: hF_Mirabelle_hf] :
! [SX3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX3 @ SX2 )
= ( ~ ! [SX4: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX4 @ SX0 )
| ~ ( SX1 @ SX4 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[476]) ).
thf(541,plain,
! [SV19: hF_Mirabelle_hf] :
( ( ! [SY222: hF_Mirabelle_hf,SY223: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SY222 @ SY223 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SY222 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SY223 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(542,plain,
( ( ! [SV20: hF_Mirabelle_hf] :
( ( hF_Mirabelle_HBall @ SV20 )
= ( ^ [SY224: hF_Mirabelle_hf > $o] :
! [SY225: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY225 @ SV20 )
| ( SY224 @ SY225 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[478]) ).
thf(543,plain,
( ( hF_Mirabelle_HBall
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > $o] :
! [SX2: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[478]) ).
thf(544,plain,
! [SV21: hF_Mirabelle_hf] :
( ( ! [SY226: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ~ ! [SY227: hF_Mirabelle_hf,SY228: hF_Mirabelle_hf,SY229: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY227 @ SV21 )
| ~ ( SY226 @ SY227 @ SY228 )
| ~ ( SY226 @ SY227 @ SY229 )
| ( SY229 = SY228 ) )
| ~ ! [SY230: hF_Mirabelle_hf] :
~ ! [SY231: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY231 @ SY230 )
= ( ~ ! [SY232: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY232 @ SV21 )
| ~ ( SY226 @ SY232 @ SY231 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(545,plain,
! [SV22: hF_Mirabelle_hf] :
( ( ! [SY233: hF_Mirabelle_hf > $o,SY234: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_HBall @ SV22 @ SY233 )
| ~ ~ ( SY233 @ SY234 )
| ~ ( hF_Mirabelle_hmem @ SY234 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(546,plain,
! [SV23: hF_Mirabelle_hf] :
( ( ! [SY235: hF_Mirabelle_hf,SY236: hF_Mirabelle_hf > hF_Mirabelle_hf,SY237: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( SV23 != SY235 )
| ~ ! [SX4: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX4 @ SY235 )
| ( ( SY236 @ SX4 )
= ( SY237 @ SX4 ) ) )
| ( ( hF_Mirabelle_RepFun @ SV23 @ SY236 )
= ( hF_Mirabelle_RepFun @ SY235 @ SY237 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(547,plain,
! [SV24: hF_Mirabelle_hf] :
( ( ! [SY239: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SV24 @ SY239 )
| ~ ( hF_Mirabelle_hmem @ SY239 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(548,plain,
! [SV25: hF_Mirabelle_hf] :
( ( ! [SY240: hF_Mirabelle_hf] :
~ ! [SY241: hF_Mirabelle_hf] :
~ ! [SY242: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY242 @ SY241 )
= ( ( hF_Mirabelle_hmem @ SY242 @ SV25 )
| ( hF_Mirabelle_hmem @ SY242 @ SY240 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(549,plain,
! [SV26: hF_Mirabelle_hf] :
( ( ! [SY243: hF_Mirabelle_hf,SY244: hF_Mirabelle_hf > $o,SY245: hF_Mirabelle_hf > $o] :
( ( SV26 != SY243 )
| ~ ! [SX4: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX4 @ SY243 )
| ( ( SY244 @ SX4 )
= ( SY245 @ SX4 ) ) )
| ( ( hF_Mirabelle_HBall @ SV26 @ SY244 )
= ( hF_Mirabelle_HBall @ SY243 @ SY245 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(550,plain,
! [SV27: hF_Mirabelle_hf] :
( ( ! [SY247: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SV27 @ SY247 )
| ( SV27 != SY247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(551,plain,
! [SV28: hF_Mirabelle_hf] :
( ( ! [SY248: hF_Mirabelle_hf,SY249: hF_Mirabelle_hf] :
~ ( ~ ( ~ ( hF_Mirabelle_hmem @ SV28 @ SY248 )
| ( ( inf_in956532509lle_hf @ SY248 @ ( hF_Mirabelle_hinsert @ SV28 @ SY249 ) )
= ( hF_Mirabelle_hinsert @ SV28 @ ( inf_in956532509lle_hf @ SY248 @ SY249 ) ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV28 @ SY248 )
| ( ( inf_in956532509lle_hf @ SY248 @ ( hF_Mirabelle_hinsert @ SV28 @ SY249 ) )
= ( inf_in956532509lle_hf @ SY248 @ SY249 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(552,plain,
! [SV29: hF_Mirabelle_hf] :
( ( ! [SY250: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SY250 ) )
= ( ~ ! [SY251: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY251 @ SY250 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY251 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(553,plain,
( ( ! [SV30: hF_Mirabelle_hf] :
( ( hF_Mirabelle_HBex @ SV30 )
= ( ^ [SY252: hF_Mirabelle_hf > $o] :
~ ! [SY253: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY253 @ SV30 )
| ~ ( SY252 @ SY253 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[488]) ).
thf(554,plain,
( ( hF_Mirabelle_HBex
= ( ^ [SX0: hF_Mirabelle_hf,SX1: hF_Mirabelle_hf > $o] :
~ ! [SX2: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[488]) ).
thf(555,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ! [SY254: $o] :
( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX2: hF_Mirabelle_hf] : SY254 )
= ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SY254 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(556,plain,
! [SV32: hF_Mirabelle_hf] :
( ( ! [SY257: hF_Mirabelle_hf > $o] :
~ ! [SY258: hF_Mirabelle_hf] :
~ ! [SY259: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY259 @ SY258 )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SY259 @ SV32 )
| ~ ( SY257 @ SY259 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(557,plain,
! [SV33: hF_Mirabelle_hf] :
( ( ! [SY260: hF_Mirabelle_hf] :
( ~ ! [SY261: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY261 @ SV33 )
= ( hF_Mirabelle_hmem @ SY261 @ SY260 ) )
| ( SV33 = SY260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(558,plain,
! [SV34: hF_Mirabelle_hf] :
( ( ! [SY262: hF_Mirabelle_hf > hF_Mirabelle_hf] :
~ ! [SY263: hF_Mirabelle_hf] :
~ ! [SY264: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY264 @ SY263 )
= ( ~ ! [SY265: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY265 @ SV34 )
| ( SY264
!= ( SY262 @ SY265 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(559,plain,
! [SV35: hF_Mirabelle_hf] :
( ( ~ ( ( SV35 != zero_z189798548lle_hf ) )
| ~ ! [SY266: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY266 @ SV35 )
| ( ( inf_in956532509lle_hf @ SY266 @ SV35 )
!= zero_z189798548lle_hf ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(560,plain,
! [SV36: hF_Mirabelle_hf] :
( ( ! [SY267: hF_Mirabelle_hf,SY268: hF_Mirabelle_hf] :
~ ( ~ ( ~ ( hF_Mirabelle_hmem @ SV36 @ SY267 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SY268 ) @ SY267 )
= ( hF_Mirabelle_hinsert @ SV36 @ ( inf_in956532509lle_hf @ SY268 @ SY267 ) ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV36 @ SY267 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SY268 ) @ SY267 )
= ( inf_in956532509lle_hf @ SY268 @ SY267 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(561,plain,
! [SV37: hF_Mirabelle_hf] :
( ( ! [SY269: hF_Mirabelle_hf,SY270: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SY269 @ SY270 ) )
= ( ~ ! [SY271: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY271 @ SY269 )
| ( SV37
!= ( SY270 @ SY271 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(562,plain,
! [SV38: hF_Mirabelle_hf] :
( ( ~ ( ( SV38 != zero_z189798548lle_hf ) )
| ~ ! [SY272: hF_Mirabelle_hf,SY273: hF_Mirabelle_hf] :
( ( SV38
!= ( hF_Mirabelle_hinsert @ SY272 @ SY273 ) )
| ( hF_Mirabelle_hmem @ SY272 @ SY273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(563,plain,
( ( ! [SV39: hF_Mirabelle_hf > $o] :
( ( hF_Mir818139703ollect @ SV39 )
= ( ^ [SY274: hF_Mirabelle_hf] :
( the_HF_Mirabelle_hf
@ ^ [SY275: hF_Mirabelle_hf] :
! [SY276: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY276 @ SY275 )
= ( ~ ( ~ ( SV39 @ SY276 )
| ~ ( hF_Mirabelle_hmem @ SY276 @ SY274 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[497]) ).
thf(564,plain,
( ( hF_Mir818139703ollect
= ( ^ [SX0: hF_Mirabelle_hf > $o,SX1: hF_Mirabelle_hf] :
( the_HF_Mirabelle_hf
@ ^ [SX2: hF_Mirabelle_hf] :
! [SX3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SX3 @ SX2 )
= ( ~ ( ~ ( SX0 @ SX3 )
| ~ ( hF_Mirabelle_hmem @ SX3 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[497]) ).
thf(565,plain,
! [SV40: hF_Mirabelle_hf] :
( ( ! [SY277: hF_Mirabelle_hf,SY278: hF_Mirabelle_hf > $o,SY279: hF_Mirabelle_hf > $o] :
( ( SV40 != SY277 )
| ~ ! [SX4: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX4 @ SY277 )
| ( ( SY278 @ SX4 )
= ( SY279 @ SX4 ) ) )
| ( ( hF_Mirabelle_HBex @ SV40 @ SY278 )
= ( hF_Mirabelle_HBex @ SY277 @ SY279 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(566,plain,
! [SV41: hF_Mirabelle_hf] :
( ( ! [SY281: hF_Mirabelle_hf,SY282: hF_Mirabelle_hf > $o] :
( ~ ( hF_Mirabelle_hmem @ SV41 @ SY281 )
| ~ ( SY282 @ SV41 )
| ( hF_Mirabelle_HBex @ SY281 @ SY282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(567,plain,
! [SV42: hF_Mirabelle_hf > $o] :
( ( ! [SY283: hF_Mirabelle_hf,SY284: hF_Mirabelle_hf] :
( ~ ( SV42 @ SY283 )
| ~ ( hF_Mirabelle_hmem @ SY283 @ SY284 )
| ( hF_Mirabelle_HBex @ SY284 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(568,plain,
( ( ! [SV43: hF_Mirabelle_hf] :
( ( hF_Mirabelle_HInter @ SV43 )
= ( hF_Mir818139703ollect
@ ^ [SY285: hF_Mirabelle_hf] :
! [SY286: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY286 @ SV43 )
| ( hF_Mirabelle_hmem @ SY285 @ SY286 ) )
@ ( hF_Mirabelle_HUnion @ SV43 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[501]) ).
thf(569,plain,
( ( hF_Mirabelle_HInter
= ( ^ [SX0: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [SX1: hF_Mirabelle_hf] :
! [SX2: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SX2 @ SX0 )
| ( hF_Mirabelle_hmem @ SX1 @ SX2 ) )
@ ( hF_Mirabelle_HUnion @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[501]) ).
thf(570,plain,
! [SV44: hF_Mirabelle_hf] :
( ( ! [SY287: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SV44 @ SY287 )
| ( ( hF_Mirabelle_HUnion @ SV44 )
!= SY287 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(571,plain,
! [SV45: hF_Mirabelle_hf] :
( ( ! [SY288: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SY289: hF_Mirabelle_hf] :
( ~ ! [SY290: hF_Mirabelle_hf,SY291: hF_Mirabelle_hf,SY292: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY290 @ SV45 )
| ~ ( SY288 @ SY290 @ SY291 )
| ~ ( SY288 @ SY290 @ SY292 )
| ( SY292 = SY291 ) )
| ( ( hF_Mirabelle_hmem @ SY289 @ ( hF_Mir1248913145eplace @ SV45 @ SY288 ) )
= ( ~ ! [SY293: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY293 @ SV45 )
| ~ ( SY288 @ SY293 @ SY289 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(572,plain,
! [SV46: hF_Mirabelle_hf] :
( ( ! [SY294: hF_Mirabelle_hf > $o] :
( ~ ( hF_Mirabelle_HBex @ SV46 @ SY294 )
| ~ ! [SY295: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY295 @ SV46 )
| ~ ( SY294 @ SY295 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(573,plain,
! [SV47: hF_Mirabelle_hf] :
( ( ! [SY296: hF_Mirabelle_hf,SY297: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SY296 @ SY297 ) )
= ( ~ ! [SY298: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY298 @ SY296 )
| ~ ( SY297 @ SY298 @ SV47 ) )
| ~ ! [SY299: hF_Mirabelle_hf] :
( ~ ( SY297 @ SY298 @ SY299 )
| ( SY299 = SV47 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(574,plain,
! [SV48: hF_Mirabelle_hf] :
( ( ! [SY300: hF_Mirabelle_hf > $o] :
( ~ ! [SY301: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY301 @ SV48 )
| ( SY300 @ SY301 ) )
| ( hF_Mirabelle_HBall @ SV48 @ SY300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(575,plain,
! [SV49: hF_Mirabelle_hf] :
( ( ! [SY302: hF_Mirabelle_hf > $o,SY303: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SY302 @ SY303 ) )
= ( ~ ( ~ ( SY302 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SY303 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(576,plain,
! [SV50: hF_Mirabelle_hf] :
( ( ! [SY304: hF_Mirabelle_hf,SY305: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SY304 @ SY305 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SY304 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SY305 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(577,plain,
! [SV51: hF_Mirabelle_hf] :
( ( ! [SY306: hF_Mirabelle_hf > $o,SY307: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_HBall @ SV51 @ SY306 )
| ~ ( hF_Mirabelle_hmem @ SY307 @ SV51 )
| ( SY306 @ SY307 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(578,plain,
! [SV52: hF_Mirabelle_hf] :
( ( ! [SY308: hF_Mirabelle_hf > $o,SY309: hF_Mirabelle_hf] :
( ~ ( ~ ( hF_Mirabelle_HBall @ SV52
@ ^ [SX3: hF_Mirabelle_hf] :
~ ( SY308 @ SX3 ) )
| ( SY308 @ SY309 ) )
| ~ ( hF_Mirabelle_hmem @ SY309 @ SV52 )
| ( hF_Mirabelle_HBex @ SV52 @ SY308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(579,plain,
! [SV53: hF_Mirabelle_hf] :
( ( ~ ! [SY311: hF_Mirabelle_hf] :
~ ! [SY312: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY312 @ SY311 )
= ( ~ ! [SY313: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY313 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SY312 @ SY313 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(580,plain,
! [SV54: hF_Mirabelle_hf] :
( ( ! [SY314: hF_Mirabelle_hf,SY315: hF_Mirabelle_hf] :
~ ( ~ ( ~ ( hF_Mirabelle_hmem @ SV54 @ SY314 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SY315 ) @ SY314 )
= ( minus_1232880740lle_hf @ SY315 @ SY314 ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV54 @ SY314 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SY315 ) @ SY314 )
= ( hF_Mirabelle_hinsert @ SV54 @ ( minus_1232880740lle_hf @ SY315 @ SY314 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(581,plain,
! [SV55: hF_Mirabelle_hf] :
( ( ! [SY316: hF_Mirabelle_hf,SY317: hF_Mirabelle_hf > $o] :
( ~ ( hF_Mirabelle_hmem @ SV55 @ SY316 )
| ~ ( SY317 @ SV55 )
| ( hF_Mirabelle_hmem @ SV55 @ ( hF_Mir818139703ollect @ SY317 @ SY316 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(582,plain,
! [SV56: hF_Mirabelle_hf] :
( ( ( ^ [SY318: hF_Mirabelle_hf] : ( SV56 = SY318 ) )
= ( ^ [SY319: hF_Mirabelle_hf] :
! [SY320: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY320 @ SV56 )
= ( hF_Mirabelle_hmem @ SY320 @ SY319 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(583,plain,
! [SV2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV2 @ SV2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(584,plain,
! [SV57: hF_Mirabelle_hf] :
( ( ( minus_1232880740lle_hf @ SV57 )
= ( ^ [SY321: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X3 @ SY321 )
@ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(585,plain,
! [SV58: hF_Mirabelle_hf] :
( ( ( inf_in956532509lle_hf @ SV58 )
= ( ^ [SY323: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ SY323 )
@ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(586,plain,
! [SV59: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV59 )
= ( ^ [SY325: hF_Mirabelle_hf] : ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SY325 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(587,plain,
! [SV6: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV6 @ zero_z189798548lle_hf )
= $false ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(588,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ~ ( ( SV7 = zero_z189798548lle_hf )
| ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) )
| ~ ( ( SV7 != zero_z189798548lle_hf )
| ~ ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[524]) ).
thf(589,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( SV7 = zero_z189798548lle_hf )
= ( ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[524]) ).
thf(590,plain,
! [SV8: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV8 @ zero_z189798548lle_hf )
= $false ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(591,plain,
! [SV60: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ zero_z189798548lle_hf @ ( hF_Mirabelle_hpair @ SV9 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(592,plain,
! [SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ! [SY326: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SY326 ) )
= ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SY326 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(593,plain,
! [SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ! [SY327: hF_Mirabelle_hf] :
( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SY327 ) )
= ( ! [SY328: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY328 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY328 @ SY327 )
| ( SY328 = SV62 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(594,plain,
! [SV12: $o] :
( ( ( SV12 = $true )
= $true )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(595,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(596,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(597,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ~ ( ( SV13 != zero_z189798548lle_hf ) )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= ( ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(598,plain,
( ( ~ ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p ) )
| ~ ( ~ ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
| ~ ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[533]) ).
thf(599,plain,
( ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= ( ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[533]) ).
thf(600,plain,
! [SV64: hF_Mirabelle_hf,SV14: hF_Mirabelle_hf] :
( ( ! [SY330: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SY331: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( SV14 != SV64 )
| ~ ! [SY332: hF_Mirabelle_hf,SY333: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY332 @ SV64 )
| ( ( SY330 @ SY332 @ SY333 )
= ( SY331 @ SY332 @ SY333 ) ) )
| ( ( hF_Mirabelle_Replace @ SV14 @ SY330 )
= ( hF_Mirabelle_Replace @ SV64 @ SY331 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(601,plain,
! [SV65: hF_Mirabelle_hf,SV15: hF_Mirabelle_hf > $o] :
( ( ~ ( SV15 @ zero_z189798548lle_hf )
| ~ ! [SY211: hF_Mirabelle_hf,SY212: hF_Mirabelle_hf] :
( ~ ( SV15 @ SY211 )
| ~ ( SV15 @ SY212 )
| ~ ~ ( hF_Mirabelle_hmem @ SY211 @ SY212 )
| ( SV15 @ ( hF_Mirabelle_hinsert @ SY211 @ SY212 ) ) )
| ( SV15 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(602,plain,
! [SV66: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HUnion @ SV66 )
= ( the_HF_Mirabelle_hf
@ ^ [SY336: hF_Mirabelle_hf] :
! [SY337: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY337 @ SY336 )
= ( ~ ! [SY338: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY338 @ SV66 )
| ~ ( hF_Mirabelle_hmem @ SY337 @ SY338 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(603,plain,
! [SV67: hF_Mirabelle_hf > $o,SV17: hF_Mirabelle_hf] :
( ( ! [SY339: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SV17 @ ( hF_Mir818139703ollect @ SV67 @ SY339 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV17 @ SY339 )
| ~ ( SV67 @ SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(604,plain,
! [SV68: hF_Mirabelle_hf] :
( ( ( hF_Mir1248913145eplace @ SV68 )
= ( ^ [SY340: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( the_HF_Mirabelle_hf
@ ^ [SY341: hF_Mirabelle_hf] :
! [SY342: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY342 @ SY341 )
= ( ~ ! [SY343: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY343 @ SV68 )
| ~ ( SY340 @ SY343 @ SY342 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(605,plain,
! [SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ! [SY344: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SY344 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SY344 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(606,plain,
! [SV70: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV70 )
= ( ^ [SY345: hF_Mirabelle_hf > $o] :
! [SY346: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY346 @ SV70 )
| ( SY345 @ SY346 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(607,plain,
! [SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ~ ! [SY347: hF_Mirabelle_hf,SY348: hF_Mirabelle_hf,SY349: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY347 @ SV21 )
| ~ ( SV71 @ SY347 @ SY348 )
| ~ ( SV71 @ SY347 @ SY349 )
| ( SY349 = SY348 ) )
| ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(608,plain,
! [SV72: hF_Mirabelle_hf > $o,SV22: hF_Mirabelle_hf] :
( ( ! [SY353: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_HBall @ SV22 @ SV72 )
| ~ ~ ( SV72 @ SY353 )
| ~ ( hF_Mirabelle_hmem @ SY353 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(609,plain,
! [SV73: hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ! [SY354: hF_Mirabelle_hf > hF_Mirabelle_hf,SY355: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( SV23 != SV73 )
| ~ ! [SY356: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY356 @ SV73 )
| ( ( SY354 @ SY356 )
= ( SY355 @ SY356 ) ) )
| ( ( hF_Mirabelle_RepFun @ SV23 @ SY354 )
= ( hF_Mirabelle_RepFun @ SV73 @ SY355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(610,plain,
! [SV74: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf] :
( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV24 @ SV74 )
| ~ ( hF_Mirabelle_hmem @ SV74 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(611,plain,
! [SV75: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf] :
( ( ~ ! [SY357: hF_Mirabelle_hf] :
~ ! [SY358: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY358 @ SY357 )
= ( ( hF_Mirabelle_hmem @ SY358 @ SV25 )
| ( hF_Mirabelle_hmem @ SY358 @ SV75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(612,plain,
! [SV76: hF_Mirabelle_hf,SV26: hF_Mirabelle_hf] :
( ( ! [SY359: hF_Mirabelle_hf > $o,SY360: hF_Mirabelle_hf > $o] :
( ( SV26 != SV76 )
| ~ ! [SY361: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY361 @ SV76 )
| ( ( SY359 @ SY361 )
= ( SY360 @ SY361 ) ) )
| ( ( hF_Mirabelle_HBall @ SV26 @ SY359 )
= ( hF_Mirabelle_HBall @ SV76 @ SY360 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(613,plain,
! [SV77: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV27 @ SV77 )
| ( SV27 != SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(614,plain,
! [SV78: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ! [SY362: hF_Mirabelle_hf] :
~ ( ~ ( ~ ( hF_Mirabelle_hmem @ SV28 @ SV78 )
| ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SY362 ) )
= ( hF_Mirabelle_hinsert @ SV28 @ ( inf_in956532509lle_hf @ SV78 @ SY362 ) ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV28 @ SV78 )
| ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SY362 ) )
= ( inf_in956532509lle_hf @ SV78 @ SY362 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(615,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= ( ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(616,plain,
! [SV80: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV80 )
= ( ^ [SY364: hF_Mirabelle_hf > $o] :
~ ! [SY365: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY365 @ SV80 )
| ~ ( SY364 @ SY365 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(617,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[555]) ).
thf(618,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[555]) ).
thf(619,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[555]) ).
thf(620,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf] :
( ( ~ ! [SY368: hF_Mirabelle_hf] :
~ ! [SY369: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY369 @ SY368 )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SY369 @ SV32 )
| ~ ( SV82 @ SY369 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(621,plain,
! [SV83: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ~ ! [SY370: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY370 @ SV33 )
= ( hF_Mirabelle_hmem @ SY370 @ SV83 ) )
| ( SV33 = SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(622,plain,
! [SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ~ ! [SY371: hF_Mirabelle_hf] :
~ ! [SY372: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY372 @ SY371 )
= ( ~ ! [SY373: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY373 @ SV34 )
| ( SY372
!= ( SV84 @ SY373 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(623,plain,
! [SV35: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV35 != zero_z189798548lle_hf ) ) )
= $true )
| ( ( ~ ! [SY266: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY266 @ SV35 )
| ( ( inf_in956532509lle_hf @ SY266 @ SV35 )
!= zero_z189798548lle_hf ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(624,plain,
! [SV85: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ! [SY374: hF_Mirabelle_hf] :
~ ( ~ ( ~ ( hF_Mirabelle_hmem @ SV36 @ SV85 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SY374 ) @ SV85 )
= ( hF_Mirabelle_hinsert @ SV36 @ ( inf_in956532509lle_hf @ SY374 @ SV85 ) ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV36 @ SV85 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SY374 ) @ SV85 )
= ( inf_in956532509lle_hf @ SY374 @ SV85 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(625,plain,
! [SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ! [SY375: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SY375 ) )
= ( ~ ! [SY376: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY376 @ SV86 )
| ( SV37
!= ( SY375 @ SY376 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(626,plain,
! [SV38: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV38 != zero_z189798548lle_hf ) ) )
= $true )
| ( ( ~ ! [SY272: hF_Mirabelle_hf,SY273: hF_Mirabelle_hf] :
( ( SV38
!= ( hF_Mirabelle_hinsert @ SY272 @ SY273 ) )
| ( hF_Mirabelle_hmem @ SY272 @ SY273 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[562]) ).
thf(627,plain,
! [SV87: hF_Mirabelle_hf > $o] :
( ( ( hF_Mir818139703ollect @ SV87 )
= ( ^ [SY377: hF_Mirabelle_hf] :
( the_HF_Mirabelle_hf
@ ^ [SY378: hF_Mirabelle_hf] :
! [SY379: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY379 @ SY378 )
= ( ~ ( ~ ( SV87 @ SY379 )
| ~ ( hF_Mirabelle_hmem @ SY379 @ SY377 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(628,plain,
! [SV88: hF_Mirabelle_hf,SV40: hF_Mirabelle_hf] :
( ( ! [SY380: hF_Mirabelle_hf > $o,SY381: hF_Mirabelle_hf > $o] :
( ( SV40 != SV88 )
| ~ ! [SY382: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY382 @ SV88 )
| ( ( SY380 @ SY382 )
= ( SY381 @ SY382 ) ) )
| ( ( hF_Mirabelle_HBex @ SV40 @ SY380 )
= ( hF_Mirabelle_HBex @ SV88 @ SY381 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(629,plain,
! [SV89: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ! [SY383: hF_Mirabelle_hf > $o] :
( ~ ( hF_Mirabelle_hmem @ SV41 @ SV89 )
| ~ ( SY383 @ SV41 )
| ( hF_Mirabelle_HBex @ SV89 @ SY383 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(630,plain,
! [SV90: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf > $o] :
( ( ! [SY384: hF_Mirabelle_hf] :
( ~ ( SV42 @ SV90 )
| ~ ( hF_Mirabelle_hmem @ SV90 @ SY384 )
| ( hF_Mirabelle_HBex @ SY384 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(631,plain,
! [SV91: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HInter @ SV91 )
= ( hF_Mir818139703ollect
@ ^ [SY385: hF_Mirabelle_hf] :
! [SY386: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY386 @ SV91 )
| ( hF_Mirabelle_hmem @ SY385 @ SY386 ) )
@ ( hF_Mirabelle_HUnion @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(632,plain,
! [SV92: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV44 @ SV92 )
| ( ( hF_Mirabelle_HUnion @ SV44 )
!= SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(633,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ! [SY387: hF_Mirabelle_hf] :
( ~ ! [SY388: hF_Mirabelle_hf,SY389: hF_Mirabelle_hf,SY390: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY388 @ SV45 )
| ~ ( SV93 @ SY388 @ SY389 )
| ~ ( SV93 @ SY388 @ SY390 )
| ( SY390 = SY389 ) )
| ( ( hF_Mirabelle_hmem @ SY387 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY391: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY391 @ SV45 )
| ~ ( SV93 @ SY391 @ SY387 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(634,plain,
! [SV94: hF_Mirabelle_hf > $o,SV46: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_HBex @ SV46 @ SV94 )
| ~ ! [SY392: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY392 @ SV46 )
| ~ ( SV94 @ SY392 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(635,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ! [SY393: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SY393 ) )
= ( ~ ! [SY394: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY394 @ SV95 )
| ~ ( SY393 @ SY394 @ SV47 ) )
| ~ ! [SY299: hF_Mirabelle_hf] :
( ~ ( SY393 @ SY394 @ SY299 )
| ( SY299 = SV47 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(636,plain,
! [SV96: hF_Mirabelle_hf > $o,SV48: hF_Mirabelle_hf] :
( ( ~ ! [SY396: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY396 @ SV48 )
| ( SV96 @ SY396 ) )
| ( hF_Mirabelle_HBall @ SV48 @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(637,plain,
! [SV97: hF_Mirabelle_hf > $o,SV49: hF_Mirabelle_hf] :
( ( ! [SY397: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SY397 ) )
= ( ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SY397 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(638,plain,
! [SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ! [SY398: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SY398 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SY398 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(639,plain,
! [SV99: hF_Mirabelle_hf > $o,SV51: hF_Mirabelle_hf] :
( ( ! [SY399: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_HBall @ SV51 @ SV99 )
| ~ ( hF_Mirabelle_hmem @ SY399 @ SV51 )
| ( SV99 @ SY399 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(640,plain,
! [SV100: hF_Mirabelle_hf > $o,SV52: hF_Mirabelle_hf] :
( ( ! [SY400: hF_Mirabelle_hf] :
( ~ ( ~ ( hF_Mirabelle_HBall @ SV52
@ ^ [SY401: hF_Mirabelle_hf] :
~ ( SV100 @ SY401 ) )
| ( SV100 @ SY400 ) )
| ~ ( hF_Mirabelle_hmem @ SY400 @ SV52 )
| ( hF_Mirabelle_HBex @ SV52 @ SV100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(641,plain,
! [SV53: hF_Mirabelle_hf] :
( ( ! [SY311: hF_Mirabelle_hf] :
~ ! [SY312: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY312 @ SY311 )
= ( ~ ! [SY313: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY313 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SY312 @ SY313 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(642,plain,
! [SV101: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ! [SY402: hF_Mirabelle_hf] :
~ ( ~ ( ~ ( hF_Mirabelle_hmem @ SV54 @ SV101 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SY402 ) @ SV101 )
= ( minus_1232880740lle_hf @ SY402 @ SV101 ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV54 @ SV101 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SY402 ) @ SV101 )
= ( hF_Mirabelle_hinsert @ SV54 @ ( minus_1232880740lle_hf @ SY402 @ SV101 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(643,plain,
! [SV102: hF_Mirabelle_hf,SV55: hF_Mirabelle_hf] :
( ( ! [SY403: hF_Mirabelle_hf > $o] :
( ~ ( hF_Mirabelle_hmem @ SV55 @ SV102 )
| ~ ( SY403 @ SV55 )
| ( hF_Mirabelle_hmem @ SV55 @ ( hF_Mir818139703ollect @ SY403 @ SV102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(644,plain,
! [SV56: hF_Mirabelle_hf] :
( ( ! [SV103: hF_Mirabelle_hf] :
( ( SV56 = SV103 )
= ( ! [SY404: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY404 @ SV56 )
= ( hF_Mirabelle_hmem @ SY404 @ SV103 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[582]) ).
thf(645,plain,
! [SV56: hF_Mirabelle_hf] :
( ( ( ^ [SY318: hF_Mirabelle_hf] : ( SV56 = SY318 ) )
= ( ^ [SY319: hF_Mirabelle_hf] :
! [SY320: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY320 @ SV56 )
= ( hF_Mirabelle_hmem @ SY320 @ SY319 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[582]) ).
thf(646,plain,
! [SV57: hF_Mirabelle_hf] :
( ( ! [SV104: hF_Mirabelle_hf] :
( ( minus_1232880740lle_hf @ SV57 @ SV104 )
= ( hF_Mir818139703ollect
@ ^ [SY405: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY405 @ SV104 )
@ SV57 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[584]) ).
thf(647,plain,
! [SV57: hF_Mirabelle_hf] :
( ( ( minus_1232880740lle_hf @ SV57 )
= ( ^ [SY321: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X3 @ SY321 )
@ SV57 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[584]) ).
thf(648,plain,
! [SV58: hF_Mirabelle_hf] :
( ( ! [SV105: hF_Mirabelle_hf] :
( ( inf_in956532509lle_hf @ SV58 @ SV105 )
= ( hF_Mir818139703ollect
@ ^ [SY406: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ SY406 @ SV105 )
@ SV58 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(649,plain,
! [SV58: hF_Mirabelle_hf] :
( ( ( inf_in956532509lle_hf @ SV58 )
= ( ^ [SY323: hF_Mirabelle_hf] :
( hF_Mir818139703ollect
@ ^ [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ SY323 )
@ SV58 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(650,plain,
! [SV59: hF_Mirabelle_hf] :
( ( ! [SV106: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SV59 @ SV106 )
= ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV106 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[586]) ).
thf(651,plain,
! [SV59: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV59 )
= ( ^ [SY325: hF_Mirabelle_hf] : ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SY325 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[586]) ).
thf(652,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV7 = zero_z189798548lle_hf )
| ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) ) )
= $true )
| ( ( ~ ( ( SV7 != zero_z189798548lle_hf )
| ~ ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(653,plain,
! [SV60: hF_Mirabelle_hf,SV9: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ zero_z189798548lle_hf @ ( hF_Mirabelle_hpair @ SV9 @ SV60 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(654,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
= ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(655,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= ( ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(656,plain,
! [SV12: $o] :
( ( ( ~ ( SV12
| $true )
| ~ ( ~ SV12
| ~ $true ) )
= $true )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[594]) ).
thf(657,plain,
! [SV12: $o] :
( ( ( SV12 = $true )
= $true )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[594]) ).
thf(658,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[595]) ).
thf(659,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[595]) ).
thf(660,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[596]) ).
thf(661,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[596]) ).
thf(662,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV13 != zero_z189798548lle_hf ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= ( ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(663,plain,
( ( ~ ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(664,plain,
( ( ~ ( ~ ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
| ~ ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(665,plain,
! [SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV64: hF_Mirabelle_hf,SV14: hF_Mirabelle_hf] :
( ( ! [SY408: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( SV14 != SV64 )
| ~ ! [SY409: hF_Mirabelle_hf,SY410: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY409 @ SV64 )
| ( ( SV109 @ SY409 @ SY410 )
= ( SY408 @ SY409 @ SY410 ) ) )
| ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SY408 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(666,plain,
! [SV65: hF_Mirabelle_hf,SV15: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV15 @ zero_z189798548lle_hf ) )
= $true )
| ( ( ~ ! [SY211: hF_Mirabelle_hf,SY212: hF_Mirabelle_hf] :
( ~ ( SV15 @ SY211 )
| ~ ( SV15 @ SY212 )
| ~ ~ ( hF_Mirabelle_hmem @ SY211 @ SY212 )
| ( SV15 @ ( hF_Mirabelle_hinsert @ SY211 @ SY212 ) ) )
| ( SV15 @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(667,plain,
! [SV110: hF_Mirabelle_hf,SV67: hF_Mirabelle_hf > $o,SV17: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV17 @ ( hF_Mir818139703ollect @ SV67 @ SV110 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV17 @ SV110 )
| ~ ( SV67 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(668,plain,
! [SV68: hF_Mirabelle_hf] :
( ( ! [SV111: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( hF_Mir1248913145eplace @ SV68 @ SV111 )
= ( the_HF_Mirabelle_hf
@ ^ [SY411: hF_Mirabelle_hf] :
! [SY412: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY412 @ SY411 )
= ( ~ ! [SY413: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY413 @ SV68 )
| ~ ( SV111 @ SY413 @ SY412 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[604]) ).
thf(669,plain,
! [SV68: hF_Mirabelle_hf] :
( ( ( hF_Mir1248913145eplace @ SV68 )
= ( ^ [SY340: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( the_HF_Mirabelle_hf
@ ^ [SY341: hF_Mirabelle_hf] :
! [SY342: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY342 @ SY341 )
= ( ~ ! [SY343: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY343 @ SV68 )
| ~ ( SY340 @ SY343 @ SY342 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[604]) ).
thf(670,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(671,plain,
! [SV70: hF_Mirabelle_hf] :
( ( ! [SV113: hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_HBall @ SV70 @ SV113 )
= ( ! [SY414: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY414 @ SV70 )
| ( SV113 @ SY414 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(672,plain,
! [SV70: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV70 )
= ( ^ [SY345: hF_Mirabelle_hf > $o] :
! [SY346: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY346 @ SV70 )
| ( SY345 @ SY346 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(673,plain,
! [SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ! [SY347: hF_Mirabelle_hf,SY348: hF_Mirabelle_hf,SY349: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY347 @ SV21 )
| ~ ( SV71 @ SY347 @ SY348 )
| ~ ( SV71 @ SY347 @ SY349 )
| ( SY349 = SY348 ) ) )
= $true )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(674,plain,
! [SV114: hF_Mirabelle_hf,SV72: hF_Mirabelle_hf > $o,SV22: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_HBall @ SV22 @ SV72 )
| ~ ~ ( SV72 @ SV114 )
| ~ ( hF_Mirabelle_hmem @ SV114 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(675,plain,
! [SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV73: hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ! [SY415: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( SV23 != SV73 )
| ~ ! [SY416: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY416 @ SV73 )
| ( ( SV115 @ SY416 )
= ( SY415 @ SY416 ) ) )
| ( ( hF_Mirabelle_RepFun @ SV23 @ SV115 )
= ( hF_Mirabelle_RepFun @ SV73 @ SY415 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(676,plain,
! [SV74: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf] :
( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV24 @ SV74 )
| ~ ( hF_Mirabelle_hmem @ SV74 @ SV24 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(677,plain,
! [SV75: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf] :
( ( ! [SY357: hF_Mirabelle_hf] :
~ ! [SY358: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY358 @ SY357 )
= ( ( hF_Mirabelle_hmem @ SY358 @ SV25 )
| ( hF_Mirabelle_hmem @ SY358 @ SV75 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(678,plain,
! [SV116: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV26: hF_Mirabelle_hf] :
( ( ! [SY417: hF_Mirabelle_hf > $o] :
( ( SV26 != SV76 )
| ~ ! [SY418: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY418 @ SV76 )
| ( ( SV116 @ SY418 )
= ( SY417 @ SY418 ) ) )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SY417 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(679,plain,
! [SV77: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV27 @ SV77 ) )
= $true )
| ( ( SV27 != SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(680,plain,
! [SV117: hF_Mirabelle_hf,SV78: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ~ ( ~ ( ~ ( hF_Mirabelle_hmem @ SV28 @ SV78 )
| ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SV117 ) )
= ( hF_Mirabelle_hinsert @ SV28 @ ( inf_in956532509lle_hf @ SV78 @ SV117 ) ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV28 @ SV78 )
| ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SV117 ) )
= ( inf_in956532509lle_hf @ SV78 @ SV117 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(681,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[615]) ).
thf(682,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= ( ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[615]) ).
thf(683,plain,
! [SV80: hF_Mirabelle_hf] :
( ( ! [SV118: hF_Mirabelle_hf > $o] :
( ( hF_Mirabelle_HBex @ SV80 @ SV118 )
= ( ~ ! [SY419: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY419 @ SV80 )
| ~ ( SV118 @ SY419 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[616]) ).
thf(684,plain,
! [SV80: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV80 )
= ( ^ [SY364: hF_Mirabelle_hf > $o] :
~ ! [SY365: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY365 @ SV80 )
| ~ ( SY364 @ SY365 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[616]) ).
thf(685,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 )
| ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(686,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(687,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true )
| ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[618]) ).
thf(688,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[618]) ).
thf(689,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false )
| ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[619]) ).
thf(690,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[619]) ).
thf(691,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf] :
( ( ! [SY368: hF_Mirabelle_hf] :
~ ! [SY369: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY369 @ SY368 )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SY369 @ SV32 )
| ~ ( SV82 @ SY369 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(692,plain,
! [SV83: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( ~ ! [SY370: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY370 @ SV33 )
= ( hF_Mirabelle_hmem @ SY370 @ SV83 ) ) )
= $true )
| ( ( SV33 = SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(693,plain,
! [SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ! [SY371: hF_Mirabelle_hf] :
~ ! [SY372: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY372 @ SY371 )
= ( ~ ! [SY373: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY373 @ SV34 )
| ( SY372
!= ( SV84 @ SY373 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(694,plain,
! [SV35: hF_Mirabelle_hf] :
( ( ( SV35 != zero_z189798548lle_hf )
= $false )
| ( ( ~ ! [SY266: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY266 @ SV35 )
| ( ( inf_in956532509lle_hf @ SY266 @ SV35 )
!= zero_z189798548lle_hf ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(695,plain,
! [SV119: hF_Mirabelle_hf,SV85: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ~ ( ~ ( ~ ( hF_Mirabelle_hmem @ SV36 @ SV85 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SV119 ) @ SV85 )
= ( hF_Mirabelle_hinsert @ SV36 @ ( inf_in956532509lle_hf @ SV119 @ SV85 ) ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV36 @ SV85 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SV119 ) @ SV85 )
= ( inf_in956532509lle_hf @ SV119 @ SV85 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(696,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= ( ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(697,plain,
! [SV38: hF_Mirabelle_hf] :
( ( ( SV38 != zero_z189798548lle_hf )
= $false )
| ( ( ~ ! [SY272: hF_Mirabelle_hf,SY273: hF_Mirabelle_hf] :
( ( SV38
!= ( hF_Mirabelle_hinsert @ SY272 @ SY273 ) )
| ( hF_Mirabelle_hmem @ SY272 @ SY273 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(698,plain,
! [SV87: hF_Mirabelle_hf > $o] :
( ( ! [SV121: hF_Mirabelle_hf] :
( ( hF_Mir818139703ollect @ SV87 @ SV121 )
= ( the_HF_Mirabelle_hf
@ ^ [SY421: hF_Mirabelle_hf] :
! [SY422: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY422 @ SY421 )
= ( ~ ( ~ ( SV87 @ SY422 )
| ~ ( hF_Mirabelle_hmem @ SY422 @ SV121 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[627]) ).
thf(699,plain,
! [SV87: hF_Mirabelle_hf > $o] :
( ( ( hF_Mir818139703ollect @ SV87 )
= ( ^ [SY377: hF_Mirabelle_hf] :
( the_HF_Mirabelle_hf
@ ^ [SY378: hF_Mirabelle_hf] :
! [SY379: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY379 @ SY378 )
= ( ~ ( ~ ( SV87 @ SY379 )
| ~ ( hF_Mirabelle_hmem @ SY379 @ SY377 ) ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[627]) ).
thf(700,plain,
! [SV122: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV40: hF_Mirabelle_hf] :
( ( ! [SY423: hF_Mirabelle_hf > $o] :
( ( SV40 != SV88 )
| ~ ! [SY424: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY424 @ SV88 )
| ( ( SV122 @ SY424 )
= ( SY423 @ SY424 ) ) )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SY423 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(701,plain,
! [SV123: hF_Mirabelle_hf > $o,SV89: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV41 @ SV89 )
| ~ ( SV123 @ SV41 )
| ( hF_Mirabelle_HBex @ SV89 @ SV123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(702,plain,
! [SV124: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf > $o] :
( ( ~ ( SV42 @ SV90 )
| ~ ( hF_Mirabelle_hmem @ SV90 @ SV124 )
| ( hF_Mirabelle_HBex @ SV124 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(703,plain,
! [SV92: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV44 @ SV92 ) )
= $true )
| ( ( ( hF_Mirabelle_HUnion @ SV44 )
!= SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(704,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ~ ! [SY388: hF_Mirabelle_hf,SY389: hF_Mirabelle_hf,SY390: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY388 @ SV45 )
| ~ ( SV93 @ SY388 @ SY389 )
| ~ ( SV93 @ SY388 @ SY390 )
| ( SY390 = SY389 ) )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(705,plain,
! [SV94: hF_Mirabelle_hf > $o,SV46: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV46 @ SV94 ) )
= $true )
| ( ( ~ ! [SY392: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY392 @ SV46 )
| ~ ( SV94 @ SY392 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(706,plain,
! [SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= ( ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(707,plain,
! [SV96: hF_Mirabelle_hf > $o,SV48: hF_Mirabelle_hf] :
( ( ( ~ ! [SY396: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY396 @ SV48 )
| ( SV96 @ SY396 ) ) )
= $true )
| ( ( hF_Mirabelle_HBall @ SV48 @ SV96 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(708,plain,
! [SV127: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o,SV49: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= ( ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(709,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(710,plain,
! [SV129: hF_Mirabelle_hf,SV99: hF_Mirabelle_hf > $o,SV51: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_HBall @ SV51 @ SV99 )
| ~ ( hF_Mirabelle_hmem @ SV129 @ SV51 )
| ( SV99 @ SV129 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(711,plain,
! [SV130: hF_Mirabelle_hf,SV100: hF_Mirabelle_hf > $o,SV52: hF_Mirabelle_hf] :
( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV52
@ ^ [SY401: hF_Mirabelle_hf] :
~ ( SV100 @ SY401 ) )
| ( SV100 @ SV130 ) )
| ~ ( hF_Mirabelle_hmem @ SV130 @ SV52 )
| ( hF_Mirabelle_HBex @ SV52 @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(712,plain,
! [SV53: hF_Mirabelle_hf] :
( ( ~ ! [SY432: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY432 @ ( sK1_SY311 @ SV53 ) )
= ( ~ ! [SY313: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY313 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SY432 @ SY313 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[641]) ).
thf(713,plain,
! [SV131: hF_Mirabelle_hf,SV101: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ~ ( ~ ( ~ ( hF_Mirabelle_hmem @ SV54 @ SV101 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SV131 ) @ SV101 )
= ( minus_1232880740lle_hf @ SV131 @ SV101 ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV54 @ SV101 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SV131 ) @ SV101 )
= ( hF_Mirabelle_hinsert @ SV54 @ ( minus_1232880740lle_hf @ SV131 @ SV101 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(714,plain,
! [SV132: hF_Mirabelle_hf > $o,SV102: hF_Mirabelle_hf,SV55: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV55 @ SV102 )
| ~ ( SV132 @ SV55 )
| ( hF_Mirabelle_hmem @ SV55 @ ( hF_Mir818139703ollect @ SV132 @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(715,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( SV56 = SV133 )
= ( ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(716,plain,
! [SV134: hF_Mirabelle_hf,SV57: hF_Mirabelle_hf] :
( ( ( minus_1232880740lle_hf @ SV57 @ SV134 )
= ( hF_Mir818139703ollect
@ ^ [SY435: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY435 @ SV134 )
@ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(717,plain,
! [SV135: hF_Mirabelle_hf,SV58: hF_Mirabelle_hf] :
( ( ( inf_in956532509lle_hf @ SV58 @ SV135 )
= ( hF_Mir818139703ollect
@ ^ [SY436: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ SY436 @ SV135 )
@ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(718,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV59 @ SV136 )
= ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(719,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( ( SV7 = zero_z189798548lle_hf )
| ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) )
= $false )
| ( ( ~ ( ( SV7 != zero_z189798548lle_hf )
| ~ ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(720,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
| ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
| ~ ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[654]) ).
thf(721,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
= ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[654]) ).
thf(722,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ~ ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
| ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[655]) ).
thf(723,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= ( ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[655]) ).
thf(724,plain,
! [SV12: $o] :
( ( ( ~ ( SV12
| $true ) )
= $true )
| ( ( ~ ( ~ SV12
| ~ $true ) )
= $true )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(725,plain,
! [SV12: $o] :
( ( ( ~ ( SV12
| $false )
| ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[657]) ).
thf(726,plain,
! [SV12: $o] :
( ( ( SV12 = $false )
= $true )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[657]) ).
thf(727,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(728,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[659]) ).
thf(729,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[659]) ).
thf(730,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(731,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[661]) ).
thf(732,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[661]) ).
thf(733,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ( SV13 != zero_z189798548lle_hf )
= $false )
| ( ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= ( ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(734,plain,
( ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[663]) ).
thf(735,plain,
( ( ~ ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
| ~ ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(736,plain,
! [SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV64: hF_Mirabelle_hf,SV14: hF_Mirabelle_hf] :
( ( ( SV14 != SV64 )
| ~ ! [SY437: hF_Mirabelle_hf,SY438: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY437 @ SV64 )
| ( ( SV109 @ SY437 @ SY438 )
= ( SV137 @ SY437 @ SY438 ) ) )
| ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(737,plain,
! [SV65: hF_Mirabelle_hf,SV15: hF_Mirabelle_hf > $o] :
( ( ( SV15 @ zero_z189798548lle_hf )
= $false )
| ( ( ~ ! [SY211: hF_Mirabelle_hf,SY212: hF_Mirabelle_hf] :
( ~ ( SV15 @ SY211 )
| ~ ( SV15 @ SY212 )
| ~ ~ ( hF_Mirabelle_hmem @ SY211 @ SY212 )
| ( SV15 @ ( hF_Mirabelle_hinsert @ SY211 @ SY212 ) ) )
| ( SV15 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(738,plain,
! [SV110: hF_Mirabelle_hf,SV67: hF_Mirabelle_hf > $o,SV17: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV17 @ ( hF_Mir818139703ollect @ SV67 @ SV110 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV17 @ SV110 )
| ~ ( SV67 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(739,plain,
! [SV138: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV68: hF_Mirabelle_hf] :
( ( ( hF_Mir1248913145eplace @ SV68 @ SV138 )
= ( the_HF_Mirabelle_hf
@ ^ [SY439: hF_Mirabelle_hf] :
! [SY440: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY440 @ SY439 )
= ( ~ ! [SY441: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY441 @ SV68 )
| ~ ( SV138 @ SY441 @ SY440 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(740,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[670]) ).
thf(741,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[670]) ).
thf(742,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= ( ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(743,plain,
! [SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY347: hF_Mirabelle_hf,SY348: hF_Mirabelle_hf,SY349: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY347 @ SV21 )
| ~ ( SV71 @ SY347 @ SY348 )
| ~ ( SV71 @ SY347 @ SY349 )
| ( SY349 = SY348 ) ) )
= $false )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(744,plain,
! [SV114: hF_Mirabelle_hf,SV72: hF_Mirabelle_hf > $o,SV22: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV22 @ SV72 ) )
= $true )
| ( ( ~ ~ ( SV72 @ SV114 )
| ~ ( hF_Mirabelle_hmem @ SV114 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(745,plain,
! [SV140: hF_Mirabelle_hf > hF_Mirabelle_hf,SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV73: hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ( SV23 != SV73 )
| ~ ! [SY443: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY443 @ SV73 )
| ( ( SV115 @ SY443 )
= ( SV140 @ SY443 ) ) )
| ( ( hF_Mirabelle_RepFun @ SV23 @ SV115 )
= ( hF_Mirabelle_RepFun @ SV73 @ SV140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(746,plain,
! [SV74: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV24 @ SV74 )
| ~ ( hF_Mirabelle_hmem @ SV74 @ SV24 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(747,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ~ ! [SY444: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY444 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= ( ( hF_Mirabelle_hmem @ SY444 @ SV25 )
| ( hF_Mirabelle_hmem @ SY444 @ SV75 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[677]) ).
thf(748,plain,
! [SV141: hF_Mirabelle_hf > $o,SV116: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV26: hF_Mirabelle_hf] :
( ( ( SV26 != SV76 )
| ~ ! [SY445: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY445 @ SV76 )
| ( ( SV116 @ SY445 )
= ( SV141 @ SY445 ) ) )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(749,plain,
! [SV77: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV27 @ SV77 )
= $false )
| ( ( SV27 != SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(750,plain,
! [SV117: hF_Mirabelle_hf,SV78: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV28 @ SV78 )
| ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SV117 ) )
= ( hF_Mirabelle_hinsert @ SV28 @ ( inf_in956532509lle_hf @ SV78 @ SV117 ) ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV28 @ SV78 )
| ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SV117 ) )
= ( inf_in956532509lle_hf @ SV78 @ SV117 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(751,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(752,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= ( ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(753,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(754,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(755,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(756,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o] :
( ( ~ ! [SY447: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY447 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SY447 @ SV32 )
| ~ ( SV82 @ SY447 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[691]) ).
thf(757,plain,
! [SV83: hF_Mirabelle_hf,SV33: hF_Mirabelle_hf] :
( ( ( ! [SY370: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY370 @ SV33 )
= ( hF_Mirabelle_hmem @ SY370 @ SV83 ) ) )
= $false )
| ( ( SV33 = SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(758,plain,
! [SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ~ ! [SY448: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY448 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= ( ~ ! [SY373: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY373 @ SV34 )
| ( SY448
!= ( SV84 @ SY373 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[693]) ).
thf(759,plain,
! [SV35: hF_Mirabelle_hf] :
( ( ( SV35 = zero_z189798548lle_hf )
= $true )
| ( ( ~ ! [SY266: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY266 @ SV35 )
| ( ( inf_in956532509lle_hf @ SY266 @ SV35 )
!= zero_z189798548lle_hf ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(760,plain,
! [SV119: hF_Mirabelle_hf,SV85: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV36 @ SV85 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SV119 ) @ SV85 )
= ( hF_Mirabelle_hinsert @ SV36 @ ( inf_in956532509lle_hf @ SV119 @ SV85 ) ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV36 @ SV85 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SV119 ) @ SV85 )
= ( inf_in956532509lle_hf @ SV119 @ SV85 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(761,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[696]) ).
thf(762,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= ( ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[696]) ).
thf(763,plain,
! [SV38: hF_Mirabelle_hf] :
( ( ( SV38 = zero_z189798548lle_hf )
= $true )
| ( ( ~ ! [SY272: hF_Mirabelle_hf,SY273: hF_Mirabelle_hf] :
( ( SV38
!= ( hF_Mirabelle_hinsert @ SY272 @ SY273 ) )
| ( hF_Mirabelle_hmem @ SY272 @ SY273 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[697]) ).
thf(764,plain,
! [SV143: hF_Mirabelle_hf,SV87: hF_Mirabelle_hf > $o] :
( ( ( hF_Mir818139703ollect @ SV87 @ SV143 )
= ( the_HF_Mirabelle_hf
@ ^ [SY450: hF_Mirabelle_hf] :
! [SY451: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY451 @ SY450 )
= ( ~ ( ~ ( SV87 @ SY451 )
| ~ ( hF_Mirabelle_hmem @ SY451 @ SV143 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(765,plain,
! [SV144: hF_Mirabelle_hf > $o,SV122: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV40: hF_Mirabelle_hf] :
( ( ( SV40 != SV88 )
| ~ ! [SY452: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY452 @ SV88 )
| ( ( SV122 @ SY452 )
= ( SV144 @ SY452 ) ) )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(766,plain,
! [SV123: hF_Mirabelle_hf > $o,SV89: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV41 @ SV89 ) )
= $true )
| ( ( ~ ( SV123 @ SV41 )
| ( hF_Mirabelle_HBex @ SV89 @ SV123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(767,plain,
! [SV124: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV42 @ SV90 ) )
= $true )
| ( ( ~ ( hF_Mirabelle_hmem @ SV90 @ SV124 )
| ( hF_Mirabelle_HBex @ SV124 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(768,plain,
! [SV92: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV44 @ SV92 )
= $false )
| ( ( ( hF_Mirabelle_HUnion @ SV44 )
!= SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(769,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ! [SY388: hF_Mirabelle_hf,SY389: hF_Mirabelle_hf,SY390: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY388 @ SV45 )
| ~ ( SV93 @ SY388 @ SY389 )
| ~ ( SV93 @ SY388 @ SY390 )
| ( SY390 = SY389 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(770,plain,
! [SV94: hF_Mirabelle_hf > $o,SV46: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV46 @ SV94 )
= $false )
| ( ( ~ ! [SY392: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY392 @ SV46 )
| ~ ( SV94 @ SY392 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(771,plain,
! [SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[706]) ).
thf(772,plain,
! [SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= ( ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[706]) ).
thf(773,plain,
! [SV96: hF_Mirabelle_hf > $o,SV48: hF_Mirabelle_hf] :
( ( ( ! [SY396: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY396 @ SV48 )
| ( SV96 @ SY396 ) ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV48 @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(774,plain,
! [SV127: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o,SV49: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[708]) ).
thf(775,plain,
! [SV127: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o,SV49: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= ( ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[708]) ).
thf(776,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[709]) ).
thf(777,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[709]) ).
thf(778,plain,
! [SV129: hF_Mirabelle_hf,SV99: hF_Mirabelle_hf > $o,SV51: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV51 @ SV99 ) )
= $true )
| ( ( ~ ( hF_Mirabelle_hmem @ SV129 @ SV51 )
| ( SV99 @ SV129 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(779,plain,
! [SV130: hF_Mirabelle_hf,SV100: hF_Mirabelle_hf > $o,SV52: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV52
@ ^ [SY401: hF_Mirabelle_hf] :
~ ( SV100 @ SY401 ) )
| ( SV100 @ SV130 ) ) )
= $true )
| ( ( ~ ( hF_Mirabelle_hmem @ SV130 @ SV52 )
| ( hF_Mirabelle_HBex @ SV52 @ SV100 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(780,plain,
! [SV53: hF_Mirabelle_hf] :
( ( ! [SY432: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY432 @ ( sK1_SY311 @ SV53 ) )
= ( ~ ! [SY313: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY313 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SY432 @ SY313 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(781,plain,
! [SV131: hF_Mirabelle_hf,SV101: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV54 @ SV101 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SV131 ) @ SV101 )
= ( minus_1232880740lle_hf @ SV131 @ SV101 ) ) )
| ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV54 @ SV101 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SV131 ) @ SV101 )
= ( hF_Mirabelle_hinsert @ SV54 @ ( minus_1232880740lle_hf @ SV131 @ SV101 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(782,plain,
! [SV132: hF_Mirabelle_hf > $o,SV102: hF_Mirabelle_hf,SV55: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV55 @ SV102 ) )
= $true )
| ( ( ~ ( SV132 @ SV55 )
| ( hF_Mirabelle_hmem @ SV55 @ ( hF_Mir818139703ollect @ SV132 @ SV102 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(783,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ~ ( ( SV56 = SV133 )
| ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
| ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[715]) ).
thf(784,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( SV56 = SV133 )
= ( ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[715]) ).
thf(785,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_hmem @ SV59 @ SV136 )
| ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV59 @ SV136 )
| ~ ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[718]) ).
thf(786,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV59 @ SV136 )
= ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[718]) ).
thf(787,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( SV7 = zero_z189798548lle_hf )
= $false )
| ( ( ~ ( ( SV7 != zero_z189798548lle_hf )
| ~ ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(788,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) )
= $false )
| ( ( ~ ( ( SV7 != zero_z189798548lle_hf )
| ~ ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(789,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
| ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
| ~ ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(790,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[722]) ).
thf(791,plain,
! [SV12: $o] :
( ( ( SV12
| $true )
= $false )
| ( ( ~ ( ~ SV12
| ~ $true ) )
= $true )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(792,plain,
! [SV12: $o] :
( ( ( ~ ( SV12
| $false ) )
= $true )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(793,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(794,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[728]) ).
thf(795,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(796,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(797,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ( SV13 = zero_z189798548lle_hf )
= $true )
| ( ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= ( ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(798,plain,
( ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(799,plain,
( ( ( ~ ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p ) )
= $true )
| ( ( ~ ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(800,plain,
! [SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV64: hF_Mirabelle_hf,SV14: hF_Mirabelle_hf] :
( ( ( SV14 != SV64 )
= $true )
| ( ( ~ ! [SY437: hF_Mirabelle_hf,SY438: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY437 @ SV64 )
| ( ( SV109 @ SY437 @ SY438 )
= ( SV137 @ SY437 @ SY438 ) ) )
| ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(801,plain,
! [SV65: hF_Mirabelle_hf,SV15: hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY211: hF_Mirabelle_hf,SY212: hF_Mirabelle_hf] :
( ~ ( SV15 @ SY211 )
| ~ ( SV15 @ SY212 )
| ~ ~ ( hF_Mirabelle_hmem @ SY211 @ SY212 )
| ( SV15 @ ( hF_Mirabelle_hinsert @ SY211 @ SY212 ) ) ) )
= $true )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(802,plain,
! [SV110: hF_Mirabelle_hf,SV67: hF_Mirabelle_hf > $o,SV17: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV17 @ ( hF_Mir818139703ollect @ SV67 @ SV110 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV17 @ SV110 )
| ~ ( SV67 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(803,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(804,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) )
| ~ ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[742]) ).
thf(805,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= ( ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[742]) ).
thf(806,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ! [SY453: hF_Mirabelle_hf,SY454: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ SY453 )
| ~ ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ SY454 )
| ( SY454 = SY453 ) ) )
= $false )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[743]) ).
thf(807,plain,
! [SV114: hF_Mirabelle_hf,SV72: hF_Mirabelle_hf > $o,SV22: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV22 @ SV72 )
= $false )
| ( ( ~ ~ ( SV72 @ SV114 )
| ~ ( hF_Mirabelle_hmem @ SV114 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(808,plain,
! [SV140: hF_Mirabelle_hf > hF_Mirabelle_hf,SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV73: hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ( SV23 != SV73 )
= $true )
| ( ( ~ ! [SY443: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY443 @ SV73 )
| ( ( SV115 @ SY443 )
= ( SV140 @ SY443 ) ) )
| ( ( hF_Mirabelle_RepFun @ SV23 @ SV115 )
= ( hF_Mirabelle_RepFun @ SV73 @ SV140 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(809,plain,
! [SV74: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV24 @ SV74 ) )
= $true )
| ( ( ~ ( hF_Mirabelle_hmem @ SV74 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(810,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf] :
( ( ! [SY444: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY444 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= ( ( hF_Mirabelle_hmem @ SY444 @ SV25 )
| ( hF_Mirabelle_hmem @ SY444 @ SV75 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[747]) ).
thf(811,plain,
! [SV141: hF_Mirabelle_hf > $o,SV116: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV26: hF_Mirabelle_hf] :
( ( ( SV26 != SV76 )
= $true )
| ( ( ~ ! [SY445: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY445 @ SV76 )
| ( ( SV116 @ SY445 )
= ( SV141 @ SY445 ) ) )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(812,plain,
! [SV77: hF_Mirabelle_hf,SV27: hF_Mirabelle_hf] :
( ( ( SV27 = SV77 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV27 @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(813,plain,
! [SV117: hF_Mirabelle_hf,SV78: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV28 @ SV78 )
| ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SV117 ) )
= ( hF_Mirabelle_hinsert @ SV28 @ ( inf_in956532509lle_hf @ SV78 @ SV117 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[750]) ).
thf(814,plain,
! [SV117: hF_Mirabelle_hf,SV78: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV28 @ SV78 )
| ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SV117 ) )
= ( inf_in956532509lle_hf @ SV78 @ SV117 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[750]) ).
thf(815,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(816,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) )
| ~ ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[752]) ).
thf(817,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= ( ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[752]) ).
thf(818,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(819,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(820,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(821,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o] :
( ( ! [SY447: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY447 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SY447 @ SV32 )
| ~ ( SV82 @ SY447 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(822,plain,
! [SV33: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV33 )
= ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV83 ) )
= $false )
| ( ( SV33 = SV83 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[757]) ).
thf(823,plain,
! [SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ! [SY448: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY448 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= ( ~ ! [SY373: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY373 @ SV34 )
| ( SY448
!= ( SV84 @ SY373 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(824,plain,
! [SV35: hF_Mirabelle_hf] :
( ( ( ! [SY266: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY266 @ SV35 )
| ( ( inf_in956532509lle_hf @ SY266 @ SV35 )
!= zero_z189798548lle_hf ) ) )
= $false )
| ( ( SV35 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(825,plain,
! [SV119: hF_Mirabelle_hf,SV85: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV36 @ SV85 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SV119 ) @ SV85 )
= ( hF_Mirabelle_hinsert @ SV36 @ ( inf_in956532509lle_hf @ SV119 @ SV85 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(826,plain,
! [SV119: hF_Mirabelle_hf,SV85: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV36 @ SV85 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SV119 ) @ SV85 )
= ( inf_in956532509lle_hf @ SV119 @ SV85 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(827,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(828,plain,
! [SV38: hF_Mirabelle_hf] :
( ( ( ! [SY272: hF_Mirabelle_hf,SY273: hF_Mirabelle_hf] :
( ( SV38
!= ( hF_Mirabelle_hinsert @ SY272 @ SY273 ) )
| ( hF_Mirabelle_hmem @ SY272 @ SY273 ) ) )
= $false )
| ( ( SV38 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(829,plain,
! [SV144: hF_Mirabelle_hf > $o,SV122: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV40: hF_Mirabelle_hf] :
( ( ( SV40 != SV88 )
= $true )
| ( ( ~ ! [SY452: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY452 @ SV88 )
| ( ( SV122 @ SY452 )
= ( SV144 @ SY452 ) ) )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(830,plain,
! [SV123: hF_Mirabelle_hf > $o,SV89: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV41 @ SV89 )
= $false )
| ( ( ~ ( SV123 @ SV41 )
| ( hF_Mirabelle_HBex @ SV89 @ SV123 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(831,plain,
! [SV124: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf,SV42: hF_Mirabelle_hf > $o] :
( ( ( SV42 @ SV90 )
= $false )
| ( ( ~ ( hF_Mirabelle_hmem @ SV90 @ SV124 )
| ( hF_Mirabelle_HBex @ SV124 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(832,plain,
! [SV92: hF_Mirabelle_hf,SV44: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HUnion @ SV44 )
= SV92 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV44 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(833,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ! [SY388: hF_Mirabelle_hf,SY389: hF_Mirabelle_hf,SY390: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY388 @ SV45 )
| ~ ( SV93 @ SY388 @ SY389 )
| ~ ( SV93 @ SY388 @ SY390 )
| ( SY390 = SY389 ) ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(834,plain,
! [SV94: hF_Mirabelle_hf > $o,SV46: hF_Mirabelle_hf] :
( ( ( ! [SY392: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY392 @ SV46 )
| ~ ( SV94 @ SY392 ) ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV46 @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(835,plain,
! [SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(836,plain,
! [SV48: hF_Mirabelle_hf,SV96: hF_Mirabelle_hf > $o] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK7_SY396 @ SV96 @ SV48 ) @ SV48 )
| ( SV96 @ ( sK7_SY396 @ SV96 @ SV48 ) ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV48 @ SV96 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[773]) ).
thf(837,plain,
! [SV127: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o,SV49: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(838,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(839,plain,
! [SV129: hF_Mirabelle_hf,SV99: hF_Mirabelle_hf > $o,SV51: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV51 @ SV99 )
= $false )
| ( ( ~ ( hF_Mirabelle_hmem @ SV129 @ SV51 )
| ( SV99 @ SV129 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(840,plain,
! [SV130: hF_Mirabelle_hf,SV100: hF_Mirabelle_hf > $o,SV52: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV52
@ ^ [SY401: hF_Mirabelle_hf] :
~ ( SV100 @ SY401 ) )
| ( SV100 @ SV130 ) )
= $false )
| ( ( ~ ( hF_Mirabelle_hmem @ SV130 @ SV52 )
| ( hF_Mirabelle_HBex @ SV52 @ SV100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(841,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= ( ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(842,plain,
! [SV131: hF_Mirabelle_hf,SV101: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV54 @ SV101 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SV131 ) @ SV101 )
= ( minus_1232880740lle_hf @ SV131 @ SV101 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(843,plain,
! [SV131: hF_Mirabelle_hf,SV101: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ~ ( ~ ~ ( hF_Mirabelle_hmem @ SV54 @ SV101 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SV131 ) @ SV101 )
= ( hF_Mirabelle_hinsert @ SV54 @ ( minus_1232880740lle_hf @ SV131 @ SV101 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(844,plain,
! [SV132: hF_Mirabelle_hf > $o,SV102: hF_Mirabelle_hf,SV55: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV55 @ SV102 )
= $false )
| ( ( ~ ( SV132 @ SV55 )
| ( hF_Mirabelle_hmem @ SV55 @ ( hF_Mir818139703ollect @ SV132 @ SV102 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(845,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV56 = SV133 )
| ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[783]) ).
thf(846,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV59 @ SV136 )
| ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV59 @ SV136 )
| ~ ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[785]) ).
thf(847,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( ( SV7 != zero_z189798548lle_hf )
| ~ ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) )
= $false )
| ( ( SV7 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(848,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK8_SY196 @ SV7 ) @ SV7 ) )
= $false )
| ( ( ~ ( ( SV7 != zero_z189798548lle_hf )
| ~ ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[788]) ).
thf(849,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
| ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
| ~ ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(850,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $false )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(851,plain,
! [SV12: $o] :
( ( SV12 = $false )
| ( ( ~ ( ~ SV12
| ~ $true ) )
= $true )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(852,plain,
! [SV12: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV12
| ~ $true ) )
= $true )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(853,plain,
! [SV12: $o] :
( ( ( SV12
| $false )
= $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(854,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(855,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(856,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(857,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[795]) ).
thf(858,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[795]) ).
thf(859,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(860,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[797]) ).
thf(861,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= ( ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[797]) ).
thf(862,plain,
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p )
= $false )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(863,plain,
( ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $false )
| ( ( ~ ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(864,plain,
! [SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV64: hF_Mirabelle_hf,SV14: hF_Mirabelle_hf] :
( ( ( SV14 = SV64 )
= $false )
| ( ( ~ ! [SY437: hF_Mirabelle_hf,SY438: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY437 @ SV64 )
| ( ( SV109 @ SY437 @ SY438 )
= ( SV137 @ SY437 @ SY438 ) ) )
| ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(865,plain,
! [SV65: hF_Mirabelle_hf,SV15: hF_Mirabelle_hf > $o] :
( ( ( ! [SY211: hF_Mirabelle_hf,SY212: hF_Mirabelle_hf] :
( ~ ( SV15 @ SY211 )
| ~ ( SV15 @ SY212 )
| ~ ~ ( hF_Mirabelle_hmem @ SY211 @ SY212 )
| ( SV15 @ ( hF_Mirabelle_hinsert @ SY211 @ SY212 ) ) ) )
= $false )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(866,plain,
! [SV67: hF_Mirabelle_hf > $o,SV110: hF_Mirabelle_hf,SV17: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV17 @ SV110 )
| ~ ( SV67 @ SV17 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV17 @ ( hF_Mir818139703ollect @ SV67 @ SV110 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(867,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(868,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(869,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ! [SY456: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
| ~ ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ SY456 )
| ( SY456
= ( sK9_SY453 @ SV21 @ SV71 ) ) ) )
= $false )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[806]) ).
thf(870,plain,
! [SV22: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf,SV72: hF_Mirabelle_hf > $o] :
( ( ( ~ ~ ( SV72 @ SV114 ) )
= $true )
| ( ( ~ ( hF_Mirabelle_hmem @ SV114 @ SV22 ) )
= $true )
| ( ( hF_Mirabelle_HBall @ SV22 @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(871,plain,
! [SV140: hF_Mirabelle_hf > hF_Mirabelle_hf,SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV73: hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ( SV23 = SV73 )
= $false )
| ( ( ~ ! [SY443: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY443 @ SV73 )
| ( ( SV115 @ SY443 )
= ( SV140 @ SY443 ) ) )
| ( ( hF_Mirabelle_RepFun @ SV23 @ SV115 )
= ( hF_Mirabelle_RepFun @ SV73 @ SV140 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(872,plain,
! [SV74: hF_Mirabelle_hf,SV24: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV24 @ SV74 )
= $false )
| ( ( ~ ( hF_Mirabelle_hmem @ SV74 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(873,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[810]) ).
thf(874,plain,
! [SV141: hF_Mirabelle_hf > $o,SV116: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV26: hF_Mirabelle_hf] :
( ( ( SV26 = SV76 )
= $false )
| ( ( ~ ! [SY445: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY445 @ SV76 )
| ( ( SV116 @ SY445 )
= ( SV141 @ SY445 ) ) )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(875,plain,
! [SV117: hF_Mirabelle_hf,SV78: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV28 @ SV78 )
| ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SV117 ) )
= ( hF_Mirabelle_hinsert @ SV28 @ ( inf_in956532509lle_hf @ SV78 @ SV117 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(876,plain,
! [SV117: hF_Mirabelle_hf,SV78: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ~ ~ ( hF_Mirabelle_hmem @ SV28 @ SV78 )
| ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SV117 ) )
= ( inf_in956532509lle_hf @ SV78 @ SV117 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(877,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(878,plain,
! [SV29: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf] :
( ( ( ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(879,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(880,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(881,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(882,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[819]) ).
thf(883,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[819]) ).
thf(884,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(885,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(886,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o,SV147: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(887,plain,
! [SV33: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV33 )
| ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV83 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV33 )
| ~ ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV83 ) ) )
= $false )
| ( ( SV33 = SV83 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[822]) ).
thf(888,plain,
! [SV33: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV33 )
= ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV83 ) )
= $false )
| ( ( SV33 = SV83 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[822]) ).
thf(889,plain,
! [SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= ( ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(890,plain,
! [SV35: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK10_SY266 @ SV35 ) @ SV35 )
| ( ( inf_in956532509lle_hf @ ( sK10_SY266 @ SV35 ) @ SV35 )
!= zero_z189798548lle_hf ) ) )
= $false )
| ( ( SV35 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[824]) ).
thf(891,plain,
! [SV119: hF_Mirabelle_hf,SV85: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV36 @ SV85 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SV119 ) @ SV85 )
= ( hF_Mirabelle_hinsert @ SV36 @ ( inf_in956532509lle_hf @ SV119 @ SV85 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[825]) ).
thf(892,plain,
! [SV119: hF_Mirabelle_hf,SV85: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ~ ~ ( hF_Mirabelle_hmem @ SV36 @ SV85 )
| ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SV119 ) @ SV85 )
= ( inf_in956532509lle_hf @ SV119 @ SV85 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(893,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(894,plain,
! [SV38: hF_Mirabelle_hf] :
( ( ( ! [SY458: hF_Mirabelle_hf] :
( ( SV38
!= ( hF_Mirabelle_hinsert @ ( sK11_SY272 @ SV38 ) @ SY458 ) )
| ( hF_Mirabelle_hmem @ ( sK11_SY272 @ SV38 ) @ SY458 ) ) )
= $false )
| ( ( SV38 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[828]) ).
thf(895,plain,
! [SV144: hF_Mirabelle_hf > $o,SV122: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV40: hF_Mirabelle_hf] :
( ( ( SV40 = SV88 )
= $false )
| ( ( ~ ! [SY452: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY452 @ SV88 )
| ( ( SV122 @ SY452 )
= ( SV144 @ SY452 ) ) )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(896,plain,
! [SV89: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf,SV123: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV123 @ SV41 ) )
= $true )
| ( ( hF_Mirabelle_HBex @ SV89 @ SV123 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV41 @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[830]) ).
thf(897,plain,
! [SV42: hF_Mirabelle_hf > $o,SV124: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV90 @ SV124 ) )
= $true )
| ( ( hF_Mirabelle_HBex @ SV124 @ SV42 )
= $true )
| ( ( SV42 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(898,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ! [SY459: hF_Mirabelle_hf,SY460: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SY459 )
| ~ ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SY460 )
| ( SY460 = SY459 ) ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[833]) ).
thf(899,plain,
! [SV46: hF_Mirabelle_hf,SV94: hF_Mirabelle_hf > $o] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK13_SY392 @ SV94 @ SV46 ) @ SV46 )
| ~ ( SV94 @ ( sK13_SY392 @ SV94 @ SV46 ) ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV46 @ SV94 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[834]) ).
thf(900,plain,
! [SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(901,plain,
! [SV48: hF_Mirabelle_hf,SV96: hF_Mirabelle_hf > $o] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK7_SY396 @ SV96 @ SV48 ) @ SV48 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV48 @ SV96 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(902,plain,
! [SV48: hF_Mirabelle_hf,SV96: hF_Mirabelle_hf > $o] :
( ( ( SV96 @ ( sK7_SY396 @ SV96 @ SV48 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV48 @ SV96 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(903,plain,
! [SV127: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o,SV49: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(904,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(905,plain,
! [SV99: hF_Mirabelle_hf > $o,SV51: hF_Mirabelle_hf,SV129: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV129 @ SV51 ) )
= $true )
| ( ( SV99 @ SV129 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV51 @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[839]) ).
thf(906,plain,
! [SV130: hF_Mirabelle_hf,SV100: hF_Mirabelle_hf > $o,SV52: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV52
@ ^ [SY401: hF_Mirabelle_hf] :
~ ( SV100 @ SY401 ) ) )
= $false )
| ( ( ~ ( hF_Mirabelle_hmem @ SV130 @ SV52 )
| ( hF_Mirabelle_HBex @ SV52 @ SV100 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[840]) ).
thf(907,plain,
! [SV52: hF_Mirabelle_hf,SV130: hF_Mirabelle_hf,SV100: hF_Mirabelle_hf > $o] :
( ( ( SV100 @ SV130 )
= $false )
| ( ( ~ ( hF_Mirabelle_hmem @ SV130 @ SV52 )
| ( hF_Mirabelle_HBex @ SV52 @ SV100 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[840]) ).
thf(908,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[841]) ).
thf(909,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= ( ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[841]) ).
thf(910,plain,
! [SV131: hF_Mirabelle_hf,SV101: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ SV54 @ SV101 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SV131 ) @ SV101 )
= ( minus_1232880740lle_hf @ SV131 @ SV101 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(911,plain,
! [SV131: hF_Mirabelle_hf,SV101: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ~ ~ ( hF_Mirabelle_hmem @ SV54 @ SV101 )
| ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SV131 ) @ SV101 )
= ( hF_Mirabelle_hinsert @ SV54 @ ( minus_1232880740lle_hf @ SV131 @ SV101 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(912,plain,
! [SV102: hF_Mirabelle_hf,SV55: hF_Mirabelle_hf,SV132: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV132 @ SV55 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV55 @ ( hF_Mir818139703ollect @ SV132 @ SV102 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV55 @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[844]) ).
thf(913,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ( SV56 = SV133 )
| ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $false )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(914,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV59 @ SV136 )
| ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV59 @ SV136 )
| ~ ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(915,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( SV7 != zero_z189798548lle_hf )
= $false )
| ( ( SV7 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[847]) ).
thf(916,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( ~ ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) )
= $false )
| ( ( SV7 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[847]) ).
thf(917,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK8_SY196 @ SV7 ) @ SV7 )
= $true )
| ( ( ~ ( ( SV7 != zero_z189798548lle_hf )
| ~ ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[848]) ).
thf(918,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
| ~ ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[849]) ).
thf(919,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
| ~ ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[849]) ).
thf(920,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[850]) ).
thf(921,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $false )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[850]) ).
thf(922,plain,
! [SV12: $o] :
( ( ( ~ SV12
| ~ $true )
= $false )
| ( SV12 = $false )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(923,plain,
! [SV12: $o] :
( ( ( ~ SV12
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(924,plain,
! [SV12: $o] :
( ( SV12 = $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(925,plain,
! [SV12: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(926,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(927,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(928,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[856]) ).
thf(929,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[856]) ).
thf(930,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(931,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(932,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(933,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(934,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(935,plain,
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a ) )
= $false )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(936,plain,
( ( ( ~ p ) = $false )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(937,plain,
( ( ( ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p ) )
= $false )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(938,plain,
! [SV14: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV64: hF_Mirabelle_hf] :
( ( ( ~ ! [SY437: hF_Mirabelle_hf,SY438: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY437 @ SV64 )
| ( ( SV109 @ SY437 @ SY438 )
= ( SV137 @ SY437 @ SY438 ) ) ) )
= $true )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[864]) ).
thf(939,plain,
! [SV65: hF_Mirabelle_hf,SV15: hF_Mirabelle_hf > $o] :
( ( ( ! [SY461: hF_Mirabelle_hf] :
( ~ ( SV15 @ ( sK14_SY211 @ SV65 @ SV15 ) )
| ~ ( SV15 @ SY461 )
| ~ ~ ( hF_Mirabelle_hmem @ ( sK14_SY211 @ SV65 @ SV15 ) @ SY461 )
| ( SV15 @ ( hF_Mirabelle_hinsert @ ( sK14_SY211 @ SV65 @ SV15 ) @ SY461 ) ) ) )
= $false )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[865]) ).
thf(940,plain,
! [SV67: hF_Mirabelle_hf > $o,SV110: hF_Mirabelle_hf,SV17: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV17 @ SV110 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV17 @ ( hF_Mir818139703ollect @ SV67 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[866]) ).
thf(941,plain,
! [SV110: hF_Mirabelle_hf,SV17: hF_Mirabelle_hf,SV67: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV67 @ SV17 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV17 @ ( hF_Mir818139703ollect @ SV67 @ SV110 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[866]) ).
thf(942,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[867]) ).
thf(943,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[867]) ).
thf(944,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(945,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
| ~ ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
| ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) ) )
= $false )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[869]) ).
thf(946,plain,
! [SV22: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf,SV72: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV72 @ SV114 ) )
= $false )
| ( ( ~ ( hF_Mirabelle_hmem @ SV114 @ SV22 ) )
= $true )
| ( ( hF_Mirabelle_HBall @ SV22 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(947,plain,
! [SV23: hF_Mirabelle_hf,SV140: hF_Mirabelle_hf > hF_Mirabelle_hf,SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ~ ! [SY443: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY443 @ SV73 )
| ( ( SV115 @ SY443 )
= ( SV140 @ SY443 ) ) ) )
= $true )
| ( ( ( hF_Mirabelle_RepFun @ SV23 @ SV115 )
= ( hF_Mirabelle_RepFun @ SV73 @ SV140 ) )
= $true )
| ( ( SV23 = SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(948,plain,
! [SV24: hF_Mirabelle_hf,SV74: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV74 @ SV24 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV24 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(949,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
| ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
| ~ ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[873]) ).
thf(950,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[873]) ).
thf(951,plain,
! [SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV116: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( ~ ! [SY445: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY445 @ SV76 )
| ( ( SV116 @ SY445 )
= ( SV141 @ SY445 ) ) ) )
= $true )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(952,plain,
! [SV117: hF_Mirabelle_hf,SV78: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV28 @ SV78 ) )
= $true )
| ( ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SV117 ) )
= ( hF_Mirabelle_hinsert @ SV28 @ ( inf_in956532509lle_hf @ SV78 @ SV117 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[875]) ).
thf(953,plain,
! [SV117: hF_Mirabelle_hf,SV78: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ( ~ ~ ( hF_Mirabelle_hmem @ SV28 @ SV78 ) )
= $true )
| ( ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SV117 ) )
= ( inf_in956532509lle_hf @ SV78 @ SV117 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[876]) ).
thf(954,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(955,plain,
! [SV29: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf] :
( ( ( ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[878]) ).
thf(956,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(957,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(958,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(959,plain,
! [SV31: hF_Mirabelle_hf,SV81: $o] :
( ( SV81 = $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(960,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(961,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(962,plain,
! [SV31: hF_Mirabelle_hf] :
( ( $true = $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(963,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(964,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(965,plain,
! [SV31: hF_Mirabelle_hf] :
( ( $false = $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(966,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o,SV147: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[886]) ).
thf(967,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o,SV147: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= ( ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[886]) ).
thf(968,plain,
! [SV33: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV33 )
| ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV83 ) ) )
= $false )
| ( ( SV33 = SV83 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(969,plain,
! [SV33: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV33 )
| ~ ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV83 ) ) )
= $false )
| ( ( SV33 = SV83 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(970,plain,
! [SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ~ ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[889]) ).
thf(971,plain,
! [SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= ( ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[889]) ).
thf(972,plain,
! [SV35: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK10_SY266 @ SV35 ) @ SV35 )
| ( ( inf_in956532509lle_hf @ ( sK10_SY266 @ SV35 ) @ SV35 )
!= zero_z189798548lle_hf ) ) )
= $true )
| ( ( SV35 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[890]) ).
thf(973,plain,
! [SV119: hF_Mirabelle_hf,SV85: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV36 @ SV85 ) )
= $true )
| ( ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SV119 ) @ SV85 )
= ( hF_Mirabelle_hinsert @ SV36 @ ( inf_in956532509lle_hf @ SV119 @ SV85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[891]) ).
thf(974,plain,
! [SV119: hF_Mirabelle_hf,SV85: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ( ~ ~ ( hF_Mirabelle_hmem @ SV36 @ SV85 ) )
= $true )
| ( ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SV119 ) @ SV85 )
= ( inf_in956532509lle_hf @ SV119 @ SV85 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(975,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[893]) ).
thf(976,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV86: hF_Mirabelle_hf] :
( ( ( ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[893]) ).
thf(977,plain,
! [SV38: hF_Mirabelle_hf] :
( ( ( ( SV38
!= ( hF_Mirabelle_hinsert @ ( sK11_SY272 @ SV38 ) @ ( sK16_SY458 @ SV38 ) ) )
| ( hF_Mirabelle_hmem @ ( sK11_SY272 @ SV38 ) @ ( sK16_SY458 @ SV38 ) ) )
= $false )
| ( ( SV38 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[894]) ).
thf(978,plain,
! [SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV122: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( ~ ! [SY452: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY452 @ SV88 )
| ( ( SV122 @ SY452 )
= ( SV144 @ SY452 ) ) ) )
= $true )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(979,plain,
! [SV89: hF_Mirabelle_hf,SV41: hF_Mirabelle_hf,SV123: hF_Mirabelle_hf > $o] :
( ( ( SV123 @ SV41 )
= $false )
| ( ( hF_Mirabelle_HBex @ SV89 @ SV123 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV41 @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(980,plain,
! [SV42: hF_Mirabelle_hf > $o,SV124: hF_Mirabelle_hf,SV90: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV90 @ SV124 )
= $false )
| ( ( hF_Mirabelle_HBex @ SV124 @ SV42 )
= $true )
| ( ( SV42 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(981,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ! [SY462: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
| ~ ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SY462 )
| ( SY462
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[898]) ).
thf(982,plain,
! [SV46: hF_Mirabelle_hf,SV94: hF_Mirabelle_hf > $o] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK13_SY392 @ SV94 @ SV46 ) @ SV46 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV46 @ SV94 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(983,plain,
! [SV46: hF_Mirabelle_hf,SV94: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV94 @ ( sK13_SY392 @ SV94 @ SV46 ) ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV46 @ SV94 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(984,plain,
! [SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(985,plain,
! [SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf] :
( ( ( ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(986,plain,
! [SV48: hF_Mirabelle_hf,SV96: hF_Mirabelle_hf > $o] :
( ( ( hF_Mirabelle_hmem @ ( sK7_SY396 @ SV96 @ SV48 ) @ SV48 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV48 @ SV96 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[901]) ).
thf(987,plain,
! [SV127: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o,SV49: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(988,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(989,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(990,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(991,plain,
! [SV99: hF_Mirabelle_hf > $o,SV51: hF_Mirabelle_hf,SV129: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV129 @ SV51 )
= $false )
| ( ( SV99 @ SV129 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV51 @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(992,plain,
! [SV130: hF_Mirabelle_hf,SV100: hF_Mirabelle_hf > $o,SV52: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV52
@ ^ [SY401: hF_Mirabelle_hf] :
~ ( SV100 @ SY401 ) )
= $true )
| ( ( ~ ( hF_Mirabelle_hmem @ SV130 @ SV52 )
| ( hF_Mirabelle_HBex @ SV52 @ SV100 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[906]) ).
thf(993,plain,
! [SV100: hF_Mirabelle_hf > $o,SV52: hF_Mirabelle_hf,SV130: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV130 @ SV52 ) )
= $true )
| ( ( hF_Mirabelle_HBex @ SV52 @ SV100 )
= $true )
| ( ( SV100 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(994,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[908]) ).
thf(995,plain,
! [SV131: hF_Mirabelle_hf,SV101: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV54 @ SV101 ) )
= $true )
| ( ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SV131 ) @ SV101 )
= ( minus_1232880740lle_hf @ SV131 @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[910]) ).
thf(996,plain,
! [SV131: hF_Mirabelle_hf,SV101: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ( ~ ~ ( hF_Mirabelle_hmem @ SV54 @ SV101 ) )
= $true )
| ( ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SV131 ) @ SV101 )
= ( hF_Mirabelle_hinsert @ SV54 @ ( minus_1232880740lle_hf @ SV131 @ SV101 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(997,plain,
! [SV102: hF_Mirabelle_hf,SV55: hF_Mirabelle_hf,SV132: hF_Mirabelle_hf > $o] :
( ( ( SV132 @ SV55 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV55 @ ( hF_Mir818139703ollect @ SV132 @ SV102 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV55 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(998,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( SV56 = SV133 )
= $false )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(999,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $false )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(1000,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV59 @ SV136 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV59 @ SV136 )
| ~ ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(1001,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV59 @ SV136 )
| ~ ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(1002,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( SV7 = zero_z189798548lle_hf )
= $true )
| ( ( SV7 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(1003,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) )
= $true )
| ( ( SV7 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[916]) ).
thf(1004,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( ( SV7 != zero_z189798548lle_hf )
| ~ ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK8_SY196 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(1005,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
| ~ ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(1006,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( SV10 = SV61 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
| ~ ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[919]) ).
thf(1007,plain,
! [SV61: hF_Mirabelle_hf,SV107: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV10 @ SV107 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
| ~ ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[919]) ).
thf(1008,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(1009,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[921]) ).
thf(1010,plain,
! [SV12: $o] :
( ( ( ~ SV12 ) = $false )
| ( SV12 = $false )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[922]) ).
thf(1011,plain,
! [SV12: $o] :
( ( ( ~ $true ) = $false )
| ( SV12 = $false )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[922]) ).
thf(1012,plain,
! [SV12: $o] :
( ( ( ~ SV12 ) = $false )
| ( $true = $false )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[923]) ).
thf(1013,plain,
! [SV12: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[923]) ).
thf(1014,plain,
! [SV12: $o] :
( ( ( ~ SV12
| ~ $false )
= $false )
| ( SV12 = $false )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(1015,plain,
! [SV12: $o] :
( ( ( ~ SV12
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(1016,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(1017,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(1018,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(1019,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(1020,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(1021,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(1022,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(1023,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(1024,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[931]) ).
thf(1025,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[931]) ).
thf(1026,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(1027,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(1028,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(1029,plain,
( ( ( ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a ) )
= $true )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(1030,plain,
( ( p = $true )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[936]) ).
thf(1031,plain,
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a )
| ~ p )
= $true )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[937]) ).
thf(1032,plain,
! [SV14: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV64: hF_Mirabelle_hf] :
( ( ( ! [SY437: hF_Mirabelle_hf,SY438: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY437 @ SV64 )
| ( ( SV109 @ SY437 @ SY438 )
= ( SV137 @ SY437 @ SY438 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(1033,plain,
! [SV65: hF_Mirabelle_hf,SV15: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV15 @ ( sK14_SY211 @ SV65 @ SV15 ) )
| ~ ( SV15 @ ( sK19_SY461 @ SV65 @ SV15 ) )
| ~ ~ ( hF_Mirabelle_hmem @ ( sK14_SY211 @ SV65 @ SV15 ) @ ( sK19_SY461 @ SV65 @ SV15 ) )
| ( SV15 @ ( hF_Mirabelle_hinsert @ ( sK14_SY211 @ SV65 @ SV15 ) @ ( sK19_SY461 @ SV65 @ SV15 ) ) ) )
= $false )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[939]) ).
thf(1034,plain,
! [SV67: hF_Mirabelle_hf > $o,SV110: hF_Mirabelle_hf,SV17: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV17 @ SV110 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV17 @ ( hF_Mir818139703ollect @ SV67 @ SV110 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[940]) ).
thf(1035,plain,
! [SV110: hF_Mirabelle_hf,SV17: hF_Mirabelle_hf,SV67: hF_Mirabelle_hf > $o] :
( ( ( SV67 @ SV17 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV17 @ ( hF_Mir818139703ollect @ SV67 @ SV110 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[941]) ).
thf(1036,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1037,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[943]) ).
thf(1038,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[944]) ).
thf(1039,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[944]) ).
thf(1040,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 ) )
= $false )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(1041,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
| ~ ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
| ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) ) )
= $false )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(1042,plain,
! [SV22: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf,SV72: hF_Mirabelle_hf > $o] :
( ( ( SV72 @ SV114 )
= $true )
| ( ( ~ ( hF_Mirabelle_hmem @ SV114 @ SV22 ) )
= $true )
| ( ( hF_Mirabelle_HBall @ SV22 @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[946]) ).
thf(1043,plain,
! [SV23: hF_Mirabelle_hf,SV140: hF_Mirabelle_hf > hF_Mirabelle_hf,SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV73: hF_Mirabelle_hf] :
( ( ( ! [SY443: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY443 @ SV73 )
| ( ( SV115 @ SY443 )
= ( SV140 @ SY443 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_RepFun @ SV23 @ SV115 )
= ( hF_Mirabelle_RepFun @ SV73 @ SV140 ) )
= $true )
| ( ( SV23 = SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(1044,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
| ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
| ~ ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(1045,plain,
! [SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV116: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( ! [SY445: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY445 @ SV76 )
| ( ( SV116 @ SY445 )
= ( SV141 @ SY445 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[951]) ).
thf(1046,plain,
! [SV117: hF_Mirabelle_hf,SV78: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV28 @ SV78 )
= $false )
| ( ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SV117 ) )
= ( hF_Mirabelle_hinsert @ SV28 @ ( inf_in956532509lle_hf @ SV78 @ SV117 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[952]) ).
thf(1047,plain,
! [SV117: hF_Mirabelle_hf,SV78: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV28 @ SV78 ) )
= $false )
| ( ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SV117 ) )
= ( inf_in956532509lle_hf @ SV78 @ SV117 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1048,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1049,plain,
! [SV29: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1050,plain,
! [SV29: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV149 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SV149 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1051,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[956]) ).
thf(1052,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[956]) ).
thf(1053,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[957]) ).
thf(1054,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[957]) ).
thf(1055,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[958]) ).
thf(1056,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) )
= $false )
| ( SV81 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1057,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1058,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1059,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(1060,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(1061,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1062,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1063,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(1064,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1065,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(1066,plain,
! [SV33: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV33 )
| ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV83 ) )
= $true )
| ( ( SV33 = SV83 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1067,plain,
! [SV33: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV33 )
| ~ ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV83 ) )
= $true )
| ( ( SV33 = SV83 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(1068,plain,
! [SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(1069,plain,
! [SV35: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK10_SY266 @ SV35 ) @ SV35 )
| ( ( inf_in956532509lle_hf @ ( sK10_SY266 @ SV35 ) @ SV35 )
!= zero_z189798548lle_hf ) )
= $false )
| ( ( SV35 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1070,plain,
! [SV119: hF_Mirabelle_hf,SV85: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV36 @ SV85 )
= $false )
| ( ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SV119 ) @ SV85 )
= ( hF_Mirabelle_hinsert @ SV36 @ ( inf_in956532509lle_hf @ SV119 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1071,plain,
! [SV119: hF_Mirabelle_hf,SV85: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV36 @ SV85 ) )
= $false )
| ( ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SV119 ) @ SV85 )
= ( inf_in956532509lle_hf @ SV119 @ SV85 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1072,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1073,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV86: hF_Mirabelle_hf] :
( ( ( ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1074,plain,
! [SV38: hF_Mirabelle_hf] :
( ( ( SV38
!= ( hF_Mirabelle_hinsert @ ( sK11_SY272 @ SV38 ) @ ( sK16_SY458 @ SV38 ) ) )
= $false )
| ( ( SV38 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[977]) ).
thf(1075,plain,
! [SV38: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK11_SY272 @ SV38 ) @ ( sK16_SY458 @ SV38 ) )
= $false )
| ( ( SV38 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[977]) ).
thf(1076,plain,
! [SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV122: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( ! [SY452: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY452 @ SV88 )
| ( ( SV122 @ SY452 )
= ( SV144 @ SY452 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1077,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
| ~ ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
| ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[981]) ).
thf(1078,plain,
! [SV46: hF_Mirabelle_hf,SV94: hF_Mirabelle_hf > $o] :
( ( ( hF_Mirabelle_hmem @ ( sK13_SY392 @ SV94 @ SV46 ) @ SV46 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV46 @ SV94 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[982]) ).
thf(1079,plain,
! [SV46: hF_Mirabelle_hf,SV94: hF_Mirabelle_hf > $o] :
( ( ( SV94 @ ( sK13_SY392 @ SV94 @ SV46 ) )
= $true )
| ( ( hF_Mirabelle_HBex @ SV46 @ SV94 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[983]) ).
thf(1080,plain,
! [SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1081,plain,
! [SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf] :
( ( ( ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1082,plain,
! [SV127: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o,SV49: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1083,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[988]) ).
thf(1084,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1085,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1086,plain,
! [SV100: hF_Mirabelle_hf > $o,SV52: hF_Mirabelle_hf,SV130: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV130 @ SV52 ) )
= $true )
| ( ( hF_Mirabelle_HBex @ SV52 @ SV100 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV52
@ ^ [SY401: hF_Mirabelle_hf] :
~ ( SV100 @ SY401 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[992]) ).
thf(1087,plain,
! [SV100: hF_Mirabelle_hf > $o,SV52: hF_Mirabelle_hf,SV130: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV130 @ SV52 )
= $false )
| ( ( hF_Mirabelle_HBex @ SV52 @ SV100 )
= $true )
| ( ( SV100 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1088,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1089,plain,
! [SV131: hF_Mirabelle_hf,SV101: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV54 @ SV101 )
= $false )
| ( ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SV131 ) @ SV101 )
= ( minus_1232880740lle_hf @ SV131 @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1090,plain,
! [SV131: hF_Mirabelle_hf,SV101: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV54 @ SV101 ) )
= $false )
| ( ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SV131 ) @ SV101 )
= ( hF_Mirabelle_hinsert @ SV54 @ ( minus_1232880740lle_hf @ SV131 @ SV101 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1091,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $false )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1092,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[999]) ).
thf(1093,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV59 @ SV136 )
| ~ ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV59 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1094,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV59 @ SV136 )
| ~ ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) )
= $false )
| ( ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1095,plain,
! [SV7: hF_Mirabelle_hf,SV150: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV150 @ SV7 ) )
= $true )
| ( ( SV7 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1096,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( SV7 != zero_z189798548lle_hf )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK8_SY196 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1004]) ).
thf(1097,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( ~ ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK8_SY196 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1004]) ).
thf(1098,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1099,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1100,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
| ~ ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) )
= $false )
| ( ( SV10 = SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1101,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
| ~ ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV10 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1102,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1008]) ).
thf(1103,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1008]) ).
thf(1104,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
| ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) ) )
= $false )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1009]) ).
thf(1105,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1009]) ).
thf(1106,plain,
! [SV12: $o] :
( ( SV12 = $true )
| ( SV12 = $false )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1010]) ).
thf(1107,plain,
! [SV12: $o] :
( ( $true = $true )
| ( SV12 = $false )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1011]) ).
thf(1108,plain,
! [SV12: $o] :
( ( SV12 = $true )
| ( $true = $false )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1012]) ).
thf(1109,plain,
! [SV12: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV12 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1110,plain,
! [SV12: $o] :
( ( ( ~ SV12 ) = $false )
| ( SV12 = $false )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1014]) ).
thf(1111,plain,
! [SV12: $o] :
( ( ( ~ $false ) = $false )
| ( SV12 = $false )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1014]) ).
thf(1112,plain,
! [SV12: $o] :
( ( ( ~ SV12 ) = $false )
| ( $false = $false )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1015]) ).
thf(1113,plain,
! [SV12: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1015]) ).
thf(1114,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1016]) ).
thf(1115,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1017]) ).
thf(1116,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1117,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1118,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1020]) ).
thf(1119,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1020]) ).
thf(1120,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1121,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1122,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1022]) ).
thf(1123,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1023]) ).
thf(1124,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1024]) ).
thf(1125,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1025]) ).
thf(1126,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1026]) ).
thf(1127,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1026]) ).
thf(1128,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1027]) ).
thf(1129,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1027]) ).
thf(1130,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1028]) ).
thf(1131,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ( ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1028]) ).
thf(1132,plain,
( ( ( ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a ) )
= $false )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1133,plain,
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a ) )
= $true )
| ( ( ~ p ) = $true )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1031]) ).
thf(1134,plain,
! [SV64: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf] :
( ( ( ! [SY463: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ SV64 )
| ( ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ SY463 )
= ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ SY463 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1032]) ).
thf(1135,plain,
! [SV65: hF_Mirabelle_hf,SV15: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV15 @ ( sK14_SY211 @ SV65 @ SV15 ) ) )
= $false )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1033]) ).
thf(1136,plain,
! [SV65: hF_Mirabelle_hf,SV15: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV15 @ ( sK19_SY461 @ SV65 @ SV15 ) )
| ~ ~ ( hF_Mirabelle_hmem @ ( sK14_SY211 @ SV65 @ SV15 ) @ ( sK19_SY461 @ SV65 @ SV15 ) )
| ( SV15 @ ( hF_Mirabelle_hinsert @ ( sK14_SY211 @ SV65 @ SV15 ) @ ( sK19_SY461 @ SV65 @ SV15 ) ) ) )
= $false )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1033]) ).
thf(1137,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1036]) ).
thf(1138,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1036]) ).
thf(1139,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 ) )
= $true )
| ( ( ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1037]) ).
thf(1140,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1141,plain,
! [SV70: hF_Mirabelle_hf,SV139: hF_Mirabelle_hf > $o] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK23_SY442 @ SV139 @ SV70 ) @ SV70 )
| ( SV139 @ ( sK23_SY442 @ SV139 @ SV70 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1039]) ).
thf(1142,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1040]) ).
thf(1143,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) ) )
= $false )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1144,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
| ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) ) )
= $false )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1145,plain,
! [SV72: hF_Mirabelle_hf > $o,SV22: hF_Mirabelle_hf,SV114: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV114 @ SV22 )
= $false )
| ( ( SV72 @ SV114 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV22 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1146,plain,
! [SV73: hF_Mirabelle_hf,SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV140: hF_Mirabelle_hf > hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK24_SY443 @ SV23 @ SV140 @ SV115 @ SV73 ) @ SV73 )
| ( ( SV115 @ ( sK24_SY443 @ SV23 @ SV140 @ SV115 @ SV73 ) )
= ( SV140 @ ( sK24_SY443 @ SV23 @ SV140 @ SV115 @ SV73 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_RepFun @ SV23 @ SV115 )
= ( hF_Mirabelle_RepFun @ SV73 @ SV140 ) )
= $true )
| ( ( SV23 = SV73 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1043]) ).
thf(1147,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
| ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
| ~ ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1148,plain,
! [SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV141: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1045]) ).
thf(1149,plain,
! [SV117: hF_Mirabelle_hf,SV78: hF_Mirabelle_hf,SV28: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV28 @ SV78 )
= $true )
| ( ( ( inf_in956532509lle_hf @ SV78 @ ( hF_Mirabelle_hinsert @ SV28 @ SV117 ) )
= ( inf_in956532509lle_hf @ SV78 @ SV117 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1150,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1048]) ).
thf(1151,plain,
! [SV29: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf] :
( ( ( ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1152,plain,
! [SV29: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV149 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SV149 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1153,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1051]) ).
thf(1154,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1155,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1053]) ).
thf(1156,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1054]) ).
thf(1157,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1158,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 ) )
= $false )
| ( SV81 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1056]) ).
thf(1159,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) )
= $false )
| ( SV81 = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1056]) ).
thf(1160,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1057]) ).
thf(1161,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true )
= $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1058]) ).
thf(1162,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1163,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1164,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1165,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1061]) ).
thf(1166,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false )
= $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1062]) ).
thf(1167,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1168,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1169,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1170,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o,SV147: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1171,plain,
! [SV33: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV33 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV83 )
= $true )
| ( ( SV33 = SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1172,plain,
! [SV33: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV33 ) )
= $true )
| ( ( ~ ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV83 ) )
= $true )
| ( ( SV33 = SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1173,plain,
! [SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1174,plain,
! [SV35: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK10_SY266 @ SV35 ) @ SV35 ) )
= $false )
| ( ( SV35 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1069]) ).
thf(1175,plain,
! [SV35: hF_Mirabelle_hf] :
( ( ( ( inf_in956532509lle_hf @ ( sK10_SY266 @ SV35 ) @ SV35 )
!= zero_z189798548lle_hf )
= $false )
| ( ( SV35 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1069]) ).
thf(1176,plain,
! [SV119: hF_Mirabelle_hf,SV85: hF_Mirabelle_hf,SV36: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV36 @ SV85 )
= $true )
| ( ( ( inf_in956532509lle_hf @ ( hF_Mirabelle_hinsert @ SV36 @ SV119 ) @ SV85 )
= ( inf_in956532509lle_hf @ SV119 @ SV85 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1177,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1072]) ).
thf(1178,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV86: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1072]) ).
thf(1179,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV151 @ SV86 )
| ( SV37
!= ( SV120 @ SV151 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1073]) ).
thf(1180,plain,
! [SV38: hF_Mirabelle_hf] :
( ( ( SV38
= ( hF_Mirabelle_hinsert @ ( sK11_SY272 @ SV38 ) @ ( sK16_SY458 @ SV38 ) ) )
= $true )
| ( ( SV38 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1181,plain,
! [SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV144: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1076]) ).
thf(1182,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1183,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
| ~ ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
| ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1184,plain,
! [SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1080]) ).
thf(1185,plain,
! [SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1080]) ).
thf(1186,plain,
! [SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV152 @ SV95 )
| ~ ( SV126 @ SV152 @ SV47 ) )
| ~ ! [SY464: hF_Mirabelle_hf] :
( ~ ( SV126 @ SV152 @ SY464 )
| ( SY464 = SV47 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1081]) ).
thf(1187,plain,
! [SV127: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o,SV49: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1082]) ).
thf(1188,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( ~ ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1082]) ).
thf(1189,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV97 @ SV49 ) )
= $true )
| ( ( ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1190,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1191,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1192,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 ) )
= $true )
| ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1085]) ).
thf(1193,plain,
! [SV100: hF_Mirabelle_hf > $o,SV52: hF_Mirabelle_hf,SV130: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV130 @ SV52 )
= $false )
| ( ( hF_Mirabelle_HBex @ SV52 @ SV100 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV52
@ ^ [SY401: hF_Mirabelle_hf] :
~ ( SV100 @ SY401 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1194,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1088]) ).
thf(1195,plain,
! [SV145: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf] :
( ( ( ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1088]) ).
thf(1196,plain,
! [SV131: hF_Mirabelle_hf,SV101: hF_Mirabelle_hf,SV54: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV54 @ SV101 )
= $true )
| ( ( ( minus_1232880740lle_hf @ ( hF_Mirabelle_hinsert @ SV54 @ SV131 ) @ SV101 )
= ( hF_Mirabelle_hinsert @ SV54 @ ( minus_1232880740lle_hf @ SV131 @ SV101 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1090]) ).
thf(1197,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( SV56 != SV133 )
= $false )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1091]) ).
thf(1198,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $false )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1091]) ).
thf(1199,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
| ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
| ~ ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) ) )
= $false )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1092]) ).
thf(1200,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1092]) ).
thf(1201,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV59 @ SV136 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV59 @ SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1093]) ).
thf(1202,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( ~ ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV59 @ SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1093]) ).
thf(1203,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV59 @ SV136 ) )
= $false )
| ( ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1204,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( ~ ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) ) )
= $false )
| ( ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1205,plain,
! [SV7: hF_Mirabelle_hf,SV150: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV150 @ SV7 )
= $false )
| ( ( SV7 = zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1206,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( SV7 = zero_z189798548lle_hf )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK8_SY196 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1096]) ).
thf(1207,plain,
! [SV7: hF_Mirabelle_hf] :
( ( ( ! [SY196: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY196 @ SV7 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK8_SY196 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1097]) ).
thf(1208,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1098]) ).
thf(1209,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1099]) ).
thf(1210,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) ) )
= $false )
| ( ( SV10 = SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1100]) ).
thf(1211,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) )
= $false )
| ( ( SV10 = SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1100]) ).
thf(1212,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV10 @ SV107 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1213,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ~ ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV10 @ SV107 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1214,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $true )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1102]) ).
thf(1215,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $true )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1103]) ).
thf(1216,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
| ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1217,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) ) )
= $false )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1218,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1219,plain,
! [SV12: $o] :
( ( ( ~ ( SV12
| $false )
| ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1106]) ).
thf(1220,plain,
! [SV12: $o] :
( ( ( SV12 = $false )
= $true )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1106]) ).
thf(1221,plain,
! [SV12: $o] :
( ( ( ~ ( SV12
| $false )
| ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1107]) ).
thf(1222,plain,
! [SV12: $o] :
( ( ( SV12 = $false )
= $true )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1107]) ).
thf(1223,plain,
! [SV12: $o] :
( ( ( ~ ( SV12
| $false )
| ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1108]) ).
thf(1224,plain,
! [SV12: $o] :
( ( ( SV12 = $false )
= $true )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1108]) ).
thf(1225,plain,
! [SV12: $o] :
( ( ( ~ ( SV12
| $false )
| ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1109]) ).
thf(1226,plain,
! [SV12: $o] :
( ( ( SV12 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1109]) ).
thf(1227,plain,
! [SV12: $o] :
( ( SV12 = $true )
| ( SV12 = $false )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1228,plain,
! [SV12: $o] :
( ( $false = $true )
| ( SV12 = $false )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1111]) ).
thf(1229,plain,
! [SV12: $o] :
( ( SV12 = $true )
| ( $false = $false )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1112]) ).
thf(1230,plain,
! [SV12: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV12 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1113]) ).
thf(1231,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1114]) ).
thf(1232,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1114]) ).
thf(1233,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1115]) ).
thf(1234,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1115]) ).
thf(1235,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1116]) ).
thf(1236,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1116]) ).
thf(1237,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1117]) ).
thf(1238,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1117]) ).
thf(1239,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1118]) ).
thf(1240,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1119]) ).
thf(1241,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1120]) ).
thf(1242,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1121]) ).
thf(1243,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1122]) ).
thf(1244,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1122]) ).
thf(1245,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1123]) ).
thf(1246,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1123]) ).
thf(1247,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1124]) ).
thf(1248,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1124]) ).
thf(1249,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1125]) ).
thf(1250,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1125]) ).
thf(1251,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1126]) ).
thf(1252,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1127]) ).
thf(1253,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1128]) ).
thf(1254,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1129]) ).
thf(1255,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1256,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK27_SY329 @ SV63 @ SV13 ) @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ ( sK27_SY329 @ SV63 @ SV13 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1131]) ).
thf(1257,plain,
( ( ( ~ ( hF_Mirabelle_hmem @ sK28_SX0 @ a ) )
= $false )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1132]) ).
thf(1258,plain,
( ( ( ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a ) )
= $false )
| ( ( ~ p ) = $true )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1259,plain,
! [SV64: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ SV64 )
| ( ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
= ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1134]) ).
thf(1260,plain,
! [SV65: hF_Mirabelle_hf,SV15: hF_Mirabelle_hf > $o] :
( ( ( SV15 @ ( sK14_SY211 @ SV65 @ SV15 ) )
= $true )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1135]) ).
thf(1261,plain,
! [SV65: hF_Mirabelle_hf,SV15: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV15 @ ( sK19_SY461 @ SV65 @ SV15 ) ) )
= $false )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1136]) ).
thf(1262,plain,
! [SV15: hF_Mirabelle_hf > $o,SV65: hF_Mirabelle_hf] :
( ( ( ~ ~ ( hF_Mirabelle_hmem @ ( sK14_SY211 @ SV65 @ SV15 ) @ ( sK19_SY461 @ SV65 @ SV15 ) )
| ( SV15 @ ( hF_Mirabelle_hinsert @ ( sK14_SY211 @ SV65 @ SV15 ) @ ( sK19_SY461 @ SV65 @ SV15 ) ) ) )
= $false )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1136]) ).
thf(1263,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1137]) ).
thf(1264,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1265,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1266,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1267,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1268,plain,
! [SV70: hF_Mirabelle_hf,SV139: hF_Mirabelle_hf > $o] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK23_SY442 @ SV139 @ SV70 ) @ SV70 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1141]) ).
thf(1269,plain,
! [SV70: hF_Mirabelle_hf,SV139: hF_Mirabelle_hf > $o] :
( ( ( SV139 @ ( sK23_SY442 @ SV139 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1141]) ).
thf(1270,plain,
! [SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1142]) ).
thf(1271,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1143]) ).
thf(1272,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) ) )
= $false )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1273,plain,
! [SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1274,plain,
! [SV73: hF_Mirabelle_hf,SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV140: hF_Mirabelle_hf > hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK24_SY443 @ SV23 @ SV140 @ SV115 @ SV73 ) @ SV73 ) )
= $false )
| ( ( ( hF_Mirabelle_RepFun @ SV23 @ SV115 )
= ( hF_Mirabelle_RepFun @ SV73 @ SV140 ) )
= $true )
| ( ( SV23 = SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1275,plain,
! [SV73: hF_Mirabelle_hf,SV140: hF_Mirabelle_hf > hF_Mirabelle_hf,SV23: hF_Mirabelle_hf,SV115: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ( SV115 @ ( sK24_SY443 @ SV23 @ SV140 @ SV115 @ SV73 ) )
= ( SV140 @ ( sK24_SY443 @ SV23 @ SV140 @ SV115 @ SV73 ) ) )
= $false )
| ( ( ( hF_Mirabelle_RepFun @ SV23 @ SV115 )
= ( hF_Mirabelle_RepFun @ SV73 @ SV140 ) )
= $true )
| ( ( SV23 = SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1276,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
| ~ ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1147]) ).
thf(1277,plain,
! [SV75: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
| ~ ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1147]) ).
thf(1278,plain,
! [SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV141: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 ) )
= $false )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1279,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o] :
( ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1280,plain,
! [SV29: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf] :
( ( ( ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1281,plain,
! [SV29: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV149 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SV149 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1152]) ).
thf(1282,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1153]) ).
thf(1283,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1153]) ).
thf(1284,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV153 @ SV80 )
| ~ ( SV142 @ SV153 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1154]) ).
thf(1285,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 ) )
= $true )
| ( SV81 = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1286,plain,
! [SV31: hF_Mirabelle_hf,SV81: $o] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK30_SY256 @ SV81 @ SV31 ) @ SV31 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1157]) ).
thf(1287,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $true )
| ( SV81 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1158]) ).
thf(1288,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 )
= $true )
| ( SV81 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1159]) ).
thf(1289,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( $true = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1161]) ).
thf(1290,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK31_SX0 @ SV31 ) @ SV31 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1162]) ).
thf(1291,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1163]) ).
thf(1292,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true )
= $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1293,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( $false = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1166]) ).
thf(1294,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK32_SX0 @ SV31 ) @ SV31 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1167]) ).
thf(1295,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1296,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1297,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o,SV147: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1170]) ).
thf(1298,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1170]) ).
thf(1299,plain,
! [SV33: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV33 )
= $false )
| ( ( ~ ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV83 ) )
= $true )
| ( ( SV33 = SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1300,plain,
! [SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1173]) ).
thf(1301,plain,
! [SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ( ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1173]) ).
thf(1302,plain,
! [SV35: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK10_SY266 @ SV35 ) @ SV35 )
= $true )
| ( ( SV35 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1174]) ).
thf(1303,plain,
! [SV35: hF_Mirabelle_hf] :
( ( ( ( inf_in956532509lle_hf @ ( sK10_SY266 @ SV35 ) @ SV35 )
= zero_z189798548lle_hf )
= $true )
| ( ( SV35 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1304,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1305,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV86: hF_Mirabelle_hf] :
( ( ( ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1306,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV151 @ SV86 )
| ( SV37
!= ( SV120 @ SV151 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1307,plain,
! [SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV144: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 ) )
= $false )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1308,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o] :
( ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1309,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1310,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1311,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
| ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1312,plain,
! [SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1184]) ).
thf(1313,plain,
! [SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf] :
( ( ( ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1185]) ).
thf(1314,plain,
! [SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV152 @ SV95 )
| ~ ( SV126 @ SV152 @ SV47 ) )
| ~ ! [SY464: hF_Mirabelle_hf] :
( ~ ( SV126 @ SV152 @ SY464 )
| ( SY464 = SV47 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1315,plain,
! [SV127: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o,SV49: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1316,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1188]) ).
thf(1317,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( SV97 @ SV49 )
= $false )
| ( ( ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1189]) ).
thf(1318,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1190]) ).
thf(1319,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1191]) ).
thf(1320,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $false )
| ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1321,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1322,plain,
! [SV145: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf] :
( ( ( ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1195]) ).
thf(1323,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( SV56 = SV133 )
= $true )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1197]) ).
thf(1324,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $true )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1325,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
| ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) ) )
= $false )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1199]) ).
thf(1326,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
| ~ ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) ) )
= $false )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1199]) ).
thf(1327,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1328,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV59 @ SV136 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV59 @ SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1201]) ).
thf(1329,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV59 @ SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1330,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV59 @ SV136 )
= $true )
| ( ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1203]) ).
thf(1331,plain,
! [SV136: hF_Mirabelle_hf,SV59: hF_Mirabelle_hf] :
( ( ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) )
= $true )
| ( ( member1367349282lle_hf @ SV59 @ ( hF_Mirabelle_hfset @ SV136 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1332,plain,
! [SV7: hF_Mirabelle_hf,SV154: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV154 @ SV7 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK8_SY196 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1207]) ).
thf(1333,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( SV10 = SV61 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV10 @ SV107 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1209]) ).
thf(1334,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
= $true )
| ( ( SV10 = SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1335,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) )
= $true )
| ( ( SV10 = SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1336,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV10 @ ( hF_Mirabelle_hinsert @ SV61 @ SV107 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV10 @ SV107 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1212]) ).
thf(1337,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( ( SV10 = SV61 )
| ( hF_Mirabelle_hmem @ SV10 @ SV107 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV10 @ SV107 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1213]) ).
thf(1338,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) )
= $true )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1215]) ).
thf(1339,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
| ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) )
= $true )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1216]) ).
thf(1340,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $true )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1341,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1342,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1343,plain,
! [SV12: $o] :
( ( ( ~ ( SV12
| $false ) )
= $true )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1219]) ).
thf(1344,plain,
! [SV12: $o] :
( ( ( ~ ( SV12
| $false ) )
= $true )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1221]) ).
thf(1345,plain,
! [SV12: $o] :
( ( ( ~ ( SV12
| $false ) )
= $true )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1223]) ).
thf(1346,plain,
! [SV12: $o] :
( ( ( ~ ( SV12
| $false ) )
= $true )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1225]) ).
thf(1347,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1348,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1233]) ).
thf(1349,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1235]) ).
thf(1350,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1237]) ).
thf(1351,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1243]) ).
thf(1352,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1245]) ).
thf(1353,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1247]) ).
thf(1354,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1249]) ).
thf(1355,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1255]) ).
thf(1356,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ( ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1255]) ).
thf(1357,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK27_SY329 @ SV63 @ SV13 ) @ SV13 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1256]) ).
thf(1358,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV63 @ ( sK27_SY329 @ SV63 @ SV13 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1256]) ).
thf(1359,plain,
( ( ( hF_Mirabelle_hmem @ sK28_SX0 @ a )
= $true )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1257]) ).
thf(1360,plain,
( ( ( ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ a ) )
= $true )
| ( ( ~ p ) = $true )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1258]) ).
thf(1361,plain,
! [SV64: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ SV64 ) )
= $false )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1362,plain,
! [SV64: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
= ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) ) )
= $false )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1363,plain,
! [SV65: hF_Mirabelle_hf,SV15: hF_Mirabelle_hf > $o] :
( ( ( SV15 @ ( sK19_SY461 @ SV65 @ SV15 ) )
= $true )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1261]) ).
thf(1364,plain,
! [SV15: hF_Mirabelle_hf > $o,SV65: hF_Mirabelle_hf] :
( ( ( ~ ~ ( hF_Mirabelle_hmem @ ( sK14_SY211 @ SV65 @ SV15 ) @ ( sK19_SY461 @ SV65 @ SV15 ) ) )
= $false )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1262]) ).
thf(1365,plain,
! [SV65: hF_Mirabelle_hf,SV15: hF_Mirabelle_hf > $o] :
( ( ( SV15 @ ( hF_Mirabelle_hinsert @ ( sK14_SY211 @ SV65 @ SV15 ) @ ( sK19_SY461 @ SV65 @ SV15 ) ) )
= $false )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1262]) ).
thf(1366,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1367,plain,
! [SV69: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1265]) ).
thf(1368,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1369,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) )
= $true )
| ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1267]) ).
thf(1370,plain,
! [SV70: hF_Mirabelle_hf,SV139: hF_Mirabelle_hf > $o] :
( ( ( hF_Mirabelle_hmem @ ( sK23_SY442 @ SV139 @ SV70 ) @ SV70 )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1268]) ).
thf(1371,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) )
= $false )
| ( ( SV139 @ ( sK23_SY442 @ SV139 @ SV70 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1269]) ).
thf(1372,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY465: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY465 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY465 ) ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1270]) ).
thf(1373,plain,
! [SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1374,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true )
| ( ( ~ ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1272]) ).
thf(1375,plain,
! [SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1376,plain,
! [SV73: hF_Mirabelle_hf,SV115: hF_Mirabelle_hf > hF_Mirabelle_hf,SV140: hF_Mirabelle_hf > hF_Mirabelle_hf,SV23: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK24_SY443 @ SV23 @ SV140 @ SV115 @ SV73 ) @ SV73 )
= $true )
| ( ( ( hF_Mirabelle_RepFun @ SV23 @ SV115 )
= ( hF_Mirabelle_RepFun @ SV73 @ SV140 ) )
= $true )
| ( ( SV23 = SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1274]) ).
thf(1377,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
| ~ ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1378,plain,
! [SV75: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
| ~ ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1277]) ).
thf(1379,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV146 @ SV75 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
| ~ ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1277]) ).
thf(1380,plain,
! [SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV141: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1278]) ).
thf(1381,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o] :
( ( ( ~ ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
| ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
| ~ ( ~ ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
| ~ ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1279]) ).
thf(1382,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o] :
( ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1279]) ).
thf(1383,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK34_SY363 @ SV29 @ SV79 ) @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ ( sK34_SY363 @ SV29 @ SV79 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1280]) ).
thf(1384,plain,
! [SV29: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV149 @ SV79 ) )
= $true )
| ( ( ~ ( hF_Mirabelle_hmem @ SV29 @ SV149 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1281]) ).
thf(1385,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1282]) ).
thf(1386,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) )
= $true )
| ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1283]) ).
thf(1387,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV153 @ SV80 )
| ~ ( SV142 @ SV153 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1388,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 ) )
= $false )
| ( SV81 = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1285]) ).
thf(1389,plain,
! [SV31: hF_Mirabelle_hf,SV81: $o] :
( ( ( hF_Mirabelle_hmem @ ( sK30_SY256 @ SV81 @ SV31 ) @ SV31 )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1286]) ).
thf(1390,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 ) )
= $true )
| ( SV81 = $true )
| ( SV81 = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1288]) ).
thf(1391,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $false )
| ( $true = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1392,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK31_SX0 @ SV31 ) @ SV31 )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1290]) ).
thf(1393,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( $true = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1292]) ).
thf(1394,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $false )
| ( $false = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1395,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK32_SX0 @ SV31 ) @ SV31 )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1396,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_or_pos,[status(thm)],[1296]) ).
thf(1397,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1398,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1298]) ).
thf(1399,plain,
! [SV33: hF_Mirabelle_hf,SV83: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV83 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK6_SY370 @ SV83 @ SV33 ) @ SV33 )
= $false )
| ( ( SV33 = SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1400,plain,
! [SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1300]) ).
thf(1401,plain,
! [SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ( ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1301]) ).
thf(1402,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV86: hF_Mirabelle_hf] :
( ( ( ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1403,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV151 @ SV86 )
| ( SV37
!= ( SV120 @ SV151 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1306]) ).
thf(1404,plain,
! [SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV144: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1307]) ).
thf(1405,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o] :
( ( ( ~ ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
| ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
| ~ ( ~ ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
| ~ ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1308]) ).
thf(1406,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o] :
( ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1308]) ).
thf(1407,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1309]) ).
thf(1408,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1309]) ).
thf(1409,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1310]) ).
thf(1410,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1311]) ).
thf(1411,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1311]) ).
thf(1412,plain,
! [SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf] :
( ( ( ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1413,plain,
! [SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV152 @ SV95 )
| ~ ( SV126 @ SV152 @ SV47 ) )
| ~ ! [SY464: hF_Mirabelle_hf] :
( ~ ( SV126 @ SV152 @ SY464 )
| ( SY464 = SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1314]) ).
thf(1414,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1316]) ).
thf(1415,plain,
! [SV97: hF_Mirabelle_hf > $o,SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV49 @ SV127 )
= $false )
| ( ( SV97 @ SV49 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1416,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1417,plain,
! [SV98: hF_Mirabelle_hf,SV128: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV50 @ SV128 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1320]) ).
thf(1418,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1419,plain,
! [SV145: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1420,plain,
! [SV145: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf,SV156: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV156 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SV156 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1421,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV157 @ SV56 )
= ( hF_Mirabelle_hmem @ SV157 @ SV133 ) )
= $true )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1422,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
| ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $true )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1325]) ).
thf(1423,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
| ~ ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $true )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1326]) ).
thf(1424,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( SV56 != SV133 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1327]) ).
thf(1425,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1327]) ).
thf(1426,plain,
! [SV7: hF_Mirabelle_hf,SV154: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV154 @ SV7 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK8_SY196 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1332]) ).
thf(1427,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( SV10 = SV61 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV10 @ SV107 )
= $true )
| ( ( SV10 = SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1335]) ).
thf(1428,plain,
! [SV107: hF_Mirabelle_hf,SV61: hF_Mirabelle_hf,SV10: hF_Mirabelle_hf] :
( ( ( SV10 = SV61 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV10 @ SV107 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV10 @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1337]) ).
thf(1429,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
| ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV155 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) ) )
= $true )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1338]) ).
thf(1430,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) )
= $true )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1338]) ).
thf(1431,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) )
= $true )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1339]) ).
thf(1432,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 ) )
= $true )
| ( ( ~ ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $true )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1340]) ).
thf(1433,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1341]) ).
thf(1434,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1342]) ).
thf(1435,plain,
! [SV12: $o] :
( ( ( SV12
| $false )
= $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1343]) ).
thf(1436,plain,
! [SV12: $o] :
( ( ( SV12
| $false )
= $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1437,plain,
! [SV12: $o] :
( ( ( SV12
| $false )
= $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1438,plain,
! [SV12: $o] :
( ( ( SV12
| $false )
= $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1346]) ).
thf(1439,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1347]) ).
thf(1440,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1348]) ).
thf(1441,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1349]) ).
thf(1442,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1350]) ).
thf(1443,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1351]) ).
thf(1444,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1445,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1353]) ).
thf(1446,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1354]) ).
thf(1447,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1355]) ).
thf(1448,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ( ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1449,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK27_SY329 @ SV63 @ SV13 ) @ SV13 )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) ) )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1450,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( sK27_SY329 @ SV63 @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1451,plain,
! [SV158: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV158 @ a ) )
= $true )
| ( ( ~ p ) = $true )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1360]) ).
thf(1452,plain,
! [SV64: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ SV64 )
= $true )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1453,plain,
! [SV64: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
| ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) ) )
| ~ ( ~ ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
| ~ ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1362]) ).
thf(1454,plain,
! [SV64: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
= ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) ) )
= $false )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1362]) ).
thf(1455,plain,
! [SV15: hF_Mirabelle_hf > $o,SV65: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK14_SY211 @ SV65 @ SV15 ) @ ( sK19_SY461 @ SV65 @ SV15 ) ) )
= $true )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1364]) ).
thf(1456,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1457,plain,
! [SV69: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1458,plain,
! [SV69: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1367]) ).
thf(1459,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf,SV159: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV159 @ SV70 )
| ( SV139 @ SV159 ) )
= $true )
| ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1460,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 )
| ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK23_SY442 @ SV139 @ SV70 ) @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1370]) ).
thf(1461,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 ) )
= $false )
| ( ( SV139 @ ( sK23_SY442 @ SV139 @ SV70 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1371]) ).
thf(1462,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) )
= $false )
| ( ( SV139 @ ( sK23_SY442 @ SV139 @ SV70 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1371]) ).
thf(1463,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ! [SY465: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY465 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY465 ) ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1372]) ).
thf(1464,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY467: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY467 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY467 ) ) ) ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1373]) ).
thf(1465,plain,
! [SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY350: hF_Mirabelle_hf] :
~ ! [SY351: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY351 @ SY350 )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY351 ) ) ) ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1466,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY469: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY469 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY469 ) ) ) ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1375]) ).
thf(1467,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1377]) ).
thf(1468,plain,
! [SV75: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1377]) ).
thf(1469,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
| ~ ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1378]) ).
thf(1470,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
| ~ ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1379]) ).
thf(1471,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
| ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1380]) ).
thf(1472,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1380]) ).
thf(1473,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o] :
( ( ( ~ ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
| ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1381]) ).
thf(1474,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o] :
( ( ( ~ ( ~ ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
| ~ ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1381]) ).
thf(1475,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
| ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1382]) ).
thf(1476,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1382]) ).
thf(1477,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK34_SY363 @ SV29 @ SV79 ) @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ ( sK34_SY363 @ SV29 @ SV79 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1383]) ).
thf(1478,plain,
! [SV29: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( ~ ( hF_Mirabelle_hmem @ SV29 @ SV149 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1384]) ).
thf(1479,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1480,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV153 @ SV80 )
| ~ ( SV142 @ SV153 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1387]) ).
thf(1481,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 ) )
= $true )
| ( SV81 = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1388]) ).
thf(1482,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
| ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK30_SY256 @ SV81 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1483,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 ) )
= $false )
| ( SV81 = $true )
| ( SV81 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1484,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( $true = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1391]) ).
thf(1485,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK31_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1486,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $false )
| ( $true = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1393]) ).
thf(1487,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( $false = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1394]) ).
thf(1488,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
| ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK32_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1489,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $false )
| ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1396]) ).
thf(1490,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1397]) ).
thf(1491,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1397]) ).
thf(1492,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 ) )
= $true )
| ( ( ~ ( SV82 @ SV147 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1493,plain,
! [SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1494,plain,
! [SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1495,plain,
! [SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf,SV160: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV160 @ SV34 )
| ( SV148
!= ( SV84 @ SV160 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(1496,plain,
! [SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK37_SY420 @ SV120 @ SV37 @ SV86 ) @ SV86 )
| ( SV37
!= ( SV120 @ ( sK37_SY420 @ SV120 @ SV37 @ SV86 ) ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1402]) ).
thf(1497,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV151 @ SV86 ) )
= $true )
| ( ( SV37
!= ( SV120 @ SV151 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1403]) ).
thf(1498,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
| ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1404]) ).
thf(1499,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1404]) ).
thf(1500,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o] :
( ( ( ~ ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
| ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1405]) ).
thf(1501,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o] :
( ( ( ~ ( ~ ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
| ~ ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1405]) ).
thf(1502,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
| ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1406]) ).
thf(1503,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1406]) ).
thf(1504,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1407]) ).
thf(1505,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1409]) ).
thf(1506,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1409]) ).
thf(1507,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1410]) ).
thf(1508,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1411]) ).
thf(1509,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1411]) ).
thf(1510,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
| ~ ! [SY471: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SY471 )
| ( SY471 = SV47 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1412]) ).
thf(1511,plain,
! [SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV152 @ SV95 )
| ~ ( SV126 @ SV152 @ SV47 ) ) )
= $true )
| ( ( ~ ! [SY464: hF_Mirabelle_hf] :
( ~ ( SV126 @ SV152 @ SY464 )
| ( SY464 = SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1413]) ).
thf(1512,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV97 @ SV49 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1513,plain,
! [SV97: hF_Mirabelle_hf > $o,SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1514,plain,
! [SV127: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o,SV49: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
| ~ ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) )
= $false )
| ( ( SV97 @ SV49 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1515,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1416]) ).
thf(1516,plain,
! [SV98: hF_Mirabelle_hf,SV128: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1416]) ).
thf(1517,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1518,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1519,plain,
! [SV145: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf] :
( ( ( ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1419]) ).
thf(1520,plain,
! [SV145: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf,SV156: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV156 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SV156 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1420]) ).
thf(1521,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV157 @ SV56 )
| ( hF_Mirabelle_hmem @ SV157 @ SV133 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV157 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV157 @ SV133 ) ) )
= $true )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1421]) ).
thf(1522,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV157 @ SV56 )
= ( hF_Mirabelle_hmem @ SV157 @ SV133 ) )
= $true )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1421]) ).
thf(1523,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1422]) ).
thf(1524,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 ) )
= $true )
| ( ( ~ ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $true )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1423]) ).
thf(1525,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( SV56 = SV133 )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1526,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1527,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
| ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV155 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) ) )
= $true )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1429]) ).
thf(1528,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1431]) ).
thf(1529,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ~ ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $true )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1530,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1434]) ).
thf(1531,plain,
! [SV12: $o] :
( ( SV12 = $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1532,plain,
! [SV12: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1533,plain,
! [SV12: $o] :
( ( SV12 = $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1436]) ).
thf(1534,plain,
! [SV12: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1436]) ).
thf(1535,plain,
! [SV12: $o] :
( ( SV12 = $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1437]) ).
thf(1536,plain,
! [SV12: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1437]) ).
thf(1537,plain,
! [SV12: $o] :
( ( SV12 = $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1438]) ).
thf(1538,plain,
! [SV12: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV12
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1438]) ).
thf(1539,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1540,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1541,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1542,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1543,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1441]) ).
thf(1544,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1441]) ).
thf(1545,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1442]) ).
thf(1546,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1442]) ).
thf(1547,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1443]) ).
thf(1548,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1443]) ).
thf(1549,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1444]) ).
thf(1550,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1444]) ).
thf(1551,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1552,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1553,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1446]) ).
thf(1554,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1446]) ).
thf(1555,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf,SV162: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV162 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SV162 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1448]) ).
thf(1556,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
| ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK27_SY329 @ SV63 @ SV13 ) @ SV13 )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1449]) ).
thf(1557,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( sK27_SY329 @ SV63 @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1450]) ).
thf(1558,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ( ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( sK27_SY329 @ SV63 @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1450]) ).
thf(1559,plain,
! [SV158: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV158 @ a )
= $false )
| ( ( ~ p ) = $true )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1451]) ).
thf(1560,plain,
! [SV64: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
| ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1453]) ).
thf(1561,plain,
! [SV64: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( ~ ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
| ~ ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) ) ) )
= $false )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1453]) ).
thf(1562,plain,
! [SV15: hF_Mirabelle_hf > $o,SV65: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK14_SY211 @ SV65 @ SV15 ) @ ( sK19_SY461 @ SV65 @ SV15 ) )
= $false )
| ( ( SV15 @ SV65 )
= $true )
| ( ( SV15 @ zero_z189798548lle_hf )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1563,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1456]) ).
thf(1564,plain,
! [SV69: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1565,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1566,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf,SV159: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV159 @ SV70 ) )
= $true )
| ( ( SV139 @ SV159 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1459]) ).
thf(1567,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV70 @ SV139 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK23_SY442 @ SV139 @ SV70 ) @ SV70 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1460]) ).
thf(1568,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ~ ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK23_SY442 @ SV139 @ SV70 ) @ SV70 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1460]) ).
thf(1569,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= $true )
| ( ( SV139 @ ( sK23_SY442 @ SV139 @ SV70 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1570,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) )
= $true )
| ( ( SV139 @ ( sK23_SY442 @ SV139 @ SV70 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1462]) ).
thf(1571,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1463]) ).
thf(1572,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ! [SY467: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY467 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY467 ) ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1464]) ).
thf(1573,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY473: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY473 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY473 ) ) ) ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1465]) ).
thf(1574,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ! [SY469: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY469 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY469 ) ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1575,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1576,plain,
! [SV75: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1577,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1578,plain,
! [SV75: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1579,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1470]) ).
thf(1580,plain,
! [SV75: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1470]) ).
thf(1581,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1471]) ).
thf(1582,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o] :
( ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
| ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $true )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1583,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
| ~ ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $true )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1474]) ).
thf(1584,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1475]) ).
thf(1585,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK34_SY363 @ SV29 @ SV79 ) @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ ( sK34_SY363 @ SV29 @ SV79 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1586,plain,
! [SV79: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1478]) ).
thf(1587,plain,
! [SV80: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK40_SY446 @ SV142 @ SV80 ) @ SV80 )
| ~ ( SV142 @ ( sK40_SY446 @ SV142 @ SV80 ) ) ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1479]) ).
thf(1588,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV153 @ SV80 ) )
= $true )
| ( ( ~ ( SV142 @ SV153 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1480]) ).
thf(1589,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf,SV164: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV164 @ SV31 ) )
= $true )
| ( SV81 = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1481]) ).
thf(1590,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK30_SY256 @ SV81 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1482]) ).
thf(1591,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK30_SY256 @ SV81 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1482]) ).
thf(1592,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 ) )
= $true )
| ( SV81 = $true )
| ( SV81 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1483]) ).
thf(1593,plain,
! [SV31: hF_Mirabelle_hf,SV165: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV165 @ SV31 ) )
= $true )
| ( $true = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1484]) ).
thf(1594,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK31_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1595,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK31_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1485]) ).
thf(1596,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( $true = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1486]) ).
thf(1597,plain,
! [SV31: hF_Mirabelle_hf,SV166: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV166 @ SV31 ) )
= $true )
| ( $false = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1487]) ).
thf(1598,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK32_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1599,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK32_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1600,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1489]) ).
thf(1601,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o,SV147: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1490]) ).
thf(1602,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1491]) ).
thf(1603,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $false )
| ( ( ~ ( SV82 @ SV147 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1604,plain,
! [SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1493]) ).
thf(1605,plain,
! [SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ( ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1494]) ).
thf(1606,plain,
! [SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf,SV160: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV160 @ SV34 )
| ( SV148
!= ( SV84 @ SV160 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1607,plain,
! [SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK37_SY420 @ SV120 @ SV37 @ SV86 ) @ SV86 )
| ( SV37
!= ( SV120 @ ( sK37_SY420 @ SV120 @ SV37 @ SV86 ) ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1496]) ).
thf(1608,plain,
! [SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
!= ( SV120 @ SV151 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1497]) ).
thf(1609,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1498]) ).
thf(1610,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o] :
( ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
| ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $true )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1500]) ).
thf(1611,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
| ~ ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $true )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1501]) ).
thf(1612,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1502]) ).
thf(1613,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1504]) ).
thf(1614,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1615,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1507]) ).
thf(1616,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1507]) ).
thf(1617,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1508]) ).
thf(1618,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
| ~ ! [SY471: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SY471 )
| ( SY471 = SV47 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1510]) ).
thf(1619,plain,
! [SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV152 @ SV95 )
| ~ ( SV126 @ SV152 @ SV47 ) ) )
= $false )
| ( ( ~ ! [SY464: hF_Mirabelle_hf] :
( ~ ( SV126 @ SV152 @ SY464 )
| ( SY464 = SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1620,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( SV97 @ SV49 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1512]) ).
thf(1621,plain,
! [SV97: hF_Mirabelle_hf > $o,SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV49 @ SV127 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1513]) ).
thf(1622,plain,
! [SV127: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o,SV49: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) ) )
= $false )
| ( ( SV97 @ SV49 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1623,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( ~ ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) )
= $false )
| ( ( SV97 @ SV49 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1624,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1515]) ).
thf(1625,plain,
! [SV98: hF_Mirabelle_hf,SV128: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV50 @ SV128 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1516]) ).
thf(1626,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV128 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1517]) ).
thf(1627,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV128 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1517]) ).
thf(1628,plain,
! [SV145: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf] :
( ( ( ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1519]) ).
thf(1629,plain,
! [SV145: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf,SV156: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV156 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SV156 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1520]) ).
thf(1630,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV157 @ SV56 )
| ( hF_Mirabelle_hmem @ SV157 @ SV133 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV157 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV157 @ SV133 ) ) )
= $true )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1521]) ).
thf(1631,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1523]) ).
thf(1632,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( ~ ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $true )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1633,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV167 @ SV56 )
= ( hF_Mirabelle_hmem @ SV167 @ SV133 ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1634,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
| ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV155 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) ) )
= $true )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1635,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1636,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1529]) ).
thf(1637,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
| ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV161 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1530]) ).
thf(1638,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1530]) ).
thf(1639,plain,
! [SV12: $o] :
( ( ( ~ SV12
| ~ $false )
= $false )
| ( SV12 = $false )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1531]) ).
thf(1640,plain,
! [SV12: $o] :
( ( ( ~ SV12
| ~ $false )
= $false )
| ( $false = $false )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1641,plain,
! [SV12: $o] :
( ( ( ~ SV12
| ~ $false )
= $false )
| ( SV12 = $false )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1533]) ).
thf(1642,plain,
! [SV12: $o] :
( ( ( ~ SV12
| ~ $false )
= $false )
| ( $false = $false )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1643,plain,
! [SV12: $o] :
( ( ( ~ SV12
| ~ $false )
= $false )
| ( SV12 = $false )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1535]) ).
thf(1644,plain,
! [SV12: $o] :
( ( ( ~ SV12
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1536]) ).
thf(1645,plain,
! [SV12: $o] :
( ( ( ~ SV12
| ~ $false )
= $false )
| ( SV12 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1646,plain,
! [SV12: $o] :
( ( ( ~ SV12
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1538]) ).
thf(1647,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1648,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1649,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1541]) ).
thf(1650,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1651,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1652,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1544]) ).
thf(1653,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1654,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1655,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1547]) ).
thf(1656,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1657,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1549]) ).
thf(1658,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1659,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1551]) ).
thf(1660,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1552]) ).
thf(1661,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1553]) ).
thf(1662,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1554]) ).
thf(1663,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf,SV162: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV162 @ SV13 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV63 @ SV162 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1555]) ).
thf(1664,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK27_SY329 @ SV63 @ SV13 ) @ SV13 )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1556]) ).
thf(1665,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ( ~ ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK27_SY329 @ SV63 @ SV13 ) @ SV13 )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1556]) ).
thf(1666,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( sK27_SY329 @ SV63 @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1667,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ( ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( sK27_SY329 @ SV63 @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1558]) ).
thf(1668,plain,
! [SV158: hF_Mirabelle_hf] :
( ( p = $false )
| ( ( hF_Mirabelle_hmem @ SV158 @ a )
= $false )
| ( ( hF_Mirabelle_HBex @ a
@ ^ [SX0: hF_Mirabelle_hf] : p )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1669,plain,
! [SV64: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
| ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) ) )
= $true )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1560]) ).
thf(1670,plain,
! [SV64: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
| ~ ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) ) )
= $true )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1561]) ).
thf(1671,plain,
! [SV69: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1672,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1565]) ).
thf(1673,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1565]) ).
thf(1674,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf,SV159: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV159 @ SV70 )
= $false )
| ( ( SV139 @ SV159 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1675,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV70 @ SV139 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK23_SY442 @ SV139 @ SV70 ) @ SV70 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1567]) ).
thf(1676,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf] :
( ( ( ! [SY442: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY442 @ SV70 )
| ( SV139 @ SY442 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK23_SY442 @ SV139 @ SV70 ) @ SV70 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1568]) ).
thf(1677,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf,SV168: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV168 @ SV70 )
| ( SV139 @ SV168 ) )
= $true )
| ( ( SV139 @ ( sK23_SY442 @ SV139 @ SV70 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1570]) ).
thf(1678,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1571]) ).
thf(1679,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1571]) ).
thf(1680,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1572]) ).
thf(1681,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ! [SY473: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY473 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY352: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY352 @ SV21 )
| ~ ( SV71 @ SY352 @ SY473 ) ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1573]) ).
thf(1682,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1574]) ).
thf(1683,plain,
! [SV75: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV75 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1576]) ).
thf(1684,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1577]) ).
thf(1685,plain,
! [SV75: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1578]) ).
thf(1686,plain,
! [SV25: hF_Mirabelle_hf,SV75: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV146 @ ( sK2_SY357 @ SV75 @ SV25 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1579]) ).
thf(1687,plain,
! [SV75: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
| ( hF_Mirabelle_hmem @ SV146 @ SV75 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1580]) ).
thf(1688,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1581]) ).
thf(1689,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o] :
( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1582]) ).
thf(1690,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $true )
| ( ( ~ ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $true )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1583]) ).
thf(1691,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1584]) ).
thf(1692,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK34_SY363 @ SV29 @ SV79 ) @ SV79 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1585]) ).
thf(1693,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( sK34_SY363 @ SV29 @ SV79 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1585]) ).
thf(1694,plain,
! [SV149: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
| ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1586]) ).
thf(1695,plain,
! [SV80: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK40_SY446 @ SV142 @ SV80 ) @ SV80 )
| ~ ( SV142 @ ( sK40_SY446 @ SV142 @ SV80 ) ) ) )
= $true )
| ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1587]) ).
thf(1696,plain,
! [SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( ~ ( SV142 @ SV153 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1588]) ).
thf(1697,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf,SV164: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV164 @ SV31 )
= $false )
| ( SV81 = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1589]) ).
thf(1698,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SY366: hF_Mirabelle_hf] : SV81 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK30_SY256 @ SV81 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1590]) ).
thf(1699,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 )
| SV81 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK30_SY256 @ SV81 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1591]) ).
thf(1700,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf,SV171: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV171 @ SV31 ) )
= $true )
| ( SV81 = $true )
| ( SV81 = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1592]) ).
thf(1701,plain,
! [SV31: hF_Mirabelle_hf,SV165: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV165 @ SV31 )
= $false )
| ( $true = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1593]) ).
thf(1702,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $true )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK31_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1594]) ).
thf(1703,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $true )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK31_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1595]) ).
thf(1704,plain,
! [SV31: hF_Mirabelle_hf,SV172: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV172 @ SV31 ) )
= $true )
| ( $true = $true )
| ( $true = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1596]) ).
thf(1705,plain,
! [SV31: hF_Mirabelle_hf,SV166: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV166 @ SV31 )
= $false )
| ( $false = $true )
| ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1597]) ).
thf(1706,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV31
@ ^ [SX0: hF_Mirabelle_hf] : $false )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK32_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1598]) ).
thf(1707,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 )
| $false )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK32_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1599]) ).
thf(1708,plain,
! [SV31: hF_Mirabelle_hf,SV173: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV173 @ SV31 ) )
= $true )
| ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1600]) ).
thf(1709,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1602]) ).
thf(1710,plain,
! [SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o] :
( ( ( SV82 @ SV147 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1603]) ).
thf(1711,plain,
! [SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ( ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1605]) ).
thf(1712,plain,
! [SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf,SV160: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV160 @ SV34 )
| ( SV148
!= ( SV84 @ SV160 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1606]) ).
thf(1713,plain,
! [SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK37_SY420 @ SV120 @ SV37 @ SV86 ) @ SV86 )
| ( SV37
!= ( SV120 @ ( sK37_SY420 @ SV120 @ SV37 @ SV86 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1607]) ).
thf(1714,plain,
! [SV86: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( SV37
= ( SV120 @ SV151 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1715,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1716,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o] :
( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1610]) ).
thf(1717,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $true )
| ( ( ~ ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $true )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1611]) ).
thf(1718,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1719,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1613]) ).
thf(1720,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1613]) ).
thf(1721,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1722,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1615]) ).
thf(1723,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1617]) ).
thf(1724,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
| ~ ! [SY471: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SY471 )
| ( SY471 = SV47 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1618]) ).
thf(1725,plain,
! [SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV152 @ SV95 )
| ~ ( SV126 @ SV152 @ SV47 ) )
= $true )
| ( ( ~ ! [SY464: hF_Mirabelle_hf] :
( ~ ( SV126 @ SV152 @ SY464 )
| ( SY464 = SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1619]) ).
thf(1726,plain,
! [SV127: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o,SV49: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV49 @ ( hF_Mir818139703ollect @ SV97 @ SV127 ) )
= $true )
| ( ( SV97 @ SV49 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1622]) ).
thf(1727,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( ~ ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) ) )
= $true )
| ( ( SV97 @ SV49 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1623]) ).
thf(1728,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV50 @ ( inf_in956532509lle_hf @ SV98 @ SV128 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV128 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1626]) ).
thf(1729,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV128 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1627]) ).
thf(1730,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK41_SY455 @ SV145 @ SV53 ) @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK41_SY455 @ SV145 @ SV53 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1628]) ).
thf(1731,plain,
! [SV145: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf,SV156: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV156 @ SV53 ) )
= $true )
| ( ( ~ ( hF_Mirabelle_hmem @ SV145 @ SV156 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1629]) ).
thf(1732,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV157 @ SV56 )
| ( hF_Mirabelle_hmem @ SV157 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV157 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV157 @ SV133 ) ) )
= $true )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1630]) ).
thf(1733,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( SV56 != SV133 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1734,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1735,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( ~ ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1632]) ).
thf(1736,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV167 @ SV56 )
| ( hF_Mirabelle_hmem @ SV167 @ SV133 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV167 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV167 @ SV133 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1633]) ).
thf(1737,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV167 @ SV56 )
= ( hF_Mirabelle_hmem @ SV167 @ SV133 ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1633]) ).
thf(1738,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV155 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) ) )
= $true )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1739,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV155 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) ) )
= $true )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1740,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1635]) ).
thf(1741,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1635]) ).
thf(1742,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1743,plain,
! [SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf] :
( ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ~ ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1744,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
| ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV161 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1637]) ).
thf(1745,plain,
! [SV12: $o] :
( ( ( ~ SV12 ) = $false )
| ( SV12 = $false )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1639]) ).
thf(1746,plain,
! [SV12: $o] :
( ( ( ~ $false ) = $false )
| ( SV12 = $false )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1639]) ).
thf(1747,plain,
! [SV12: $o] :
( ( ( ~ SV12 ) = $false )
| ( $false = $false )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1640]) ).
thf(1748,plain,
! [SV12: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1640]) ).
thf(1749,plain,
! [SV12: $o] :
( ( ( ~ SV12 ) = $false )
| ( SV12 = $false )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1641]) ).
thf(1750,plain,
! [SV12: $o] :
( ( ( ~ $false ) = $false )
| ( SV12 = $false )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1641]) ).
thf(1751,plain,
! [SV12: $o] :
( ( ( ~ SV12 ) = $false )
| ( $false = $false )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1642]) ).
thf(1752,plain,
! [SV12: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1642]) ).
thf(1753,plain,
! [SV12: $o] :
( ( ( ~ SV12 ) = $false )
| ( SV12 = $false )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1754,plain,
! [SV12: $o] :
( ( ( ~ $false ) = $false )
| ( SV12 = $false )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1755,plain,
! [SV12: $o] :
( ( ( ~ SV12 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1644]) ).
thf(1756,plain,
! [SV12: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1644]) ).
thf(1757,plain,
! [SV12: $o] :
( ( ( ~ SV12 ) = $false )
| ( SV12 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1645]) ).
thf(1758,plain,
! [SV12: $o] :
( ( ( ~ $false ) = $false )
| ( SV12 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1645]) ).
thf(1759,plain,
! [SV12: $o] :
( ( ( ~ SV12 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1646]) ).
thf(1760,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1646]) ).
thf(1761,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1647]) ).
thf(1762,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1647]) ).
thf(1763,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1648]) ).
thf(1764,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1648]) ).
thf(1765,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1649]) ).
thf(1766,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1649]) ).
thf(1767,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1650]) ).
thf(1768,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1650]) ).
thf(1769,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1651]) ).
thf(1770,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1651]) ).
thf(1771,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1652]) ).
thf(1772,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1652]) ).
thf(1773,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1653]) ).
thf(1774,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1653]) ).
thf(1775,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1654]) ).
thf(1776,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1654]) ).
thf(1777,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1655]) ).
thf(1778,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1655]) ).
thf(1779,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1656]) ).
thf(1780,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1656]) ).
thf(1781,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1657]) ).
thf(1782,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1657]) ).
thf(1783,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1658]) ).
thf(1784,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1658]) ).
thf(1785,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1659]) ).
thf(1786,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1659]) ).
thf(1787,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1660]) ).
thf(1788,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1660]) ).
thf(1789,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1661]) ).
thf(1790,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1661]) ).
thf(1791,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1662]) ).
thf(1792,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1662]) ).
thf(1793,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf,SV162: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV162 @ SV13 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV63 @ SV162 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1663]) ).
thf(1794,plain,
! [SV13: hF_Mirabelle_hf,SV63: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV63 @ ( hF_Mirabelle_HInter @ SV13 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK27_SY329 @ SV63 @ SV13 ) @ SV13 )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1664]) ).
thf(1795,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf] :
( ( ( ! [SY329: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ SY329 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SY329 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK27_SY329 @ SV63 @ SV13 ) @ SV13 )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1665]) ).
thf(1796,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf,SV174: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV174 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SV174 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( sK27_SY329 @ SV63 @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1667]) ).
thf(1797,plain,
! [SV64: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
= $true )
| ( ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
= $true )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1669]) ).
thf(1798,plain,
! [SV64: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) ) )
= $true )
| ( ( ~ ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) ) )
= $true )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1670]) ).
thf(1799,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV19 @ ( minus_1232880740lle_hf @ SV69 @ SV112 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1672]) ).
thf(1800,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1673]) ).
thf(1801,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf,SV175: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV175 @ SV70 )
| ( SV139 @ SV175 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK23_SY442 @ SV139 @ SV70 ) @ SV70 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1676]) ).
thf(1802,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf,SV168: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV168 @ SV70 ) )
= $true )
| ( ( SV139 @ SV168 )
= $true )
| ( ( SV139 @ ( sK23_SY442 @ SV139 @ SV70 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1677]) ).
thf(1803,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1678]) ).
thf(1804,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1680]) ).
thf(1805,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1680]) ).
thf(1806,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1681]) ).
thf(1807,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1682]) ).
thf(1808,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1682]) ).
thf(1809,plain,
! [SV75: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV75 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1685]) ).
thf(1810,plain,
! [SV75: hF_Mirabelle_hf,SV25: hF_Mirabelle_hf,SV146: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV146 @ SV25 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV75 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV146 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1687]) ).
thf(1811,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1688]) ).
thf(1812,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1688]) ).
thf(1813,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
| ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1689]) ).
thf(1814,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1689]) ).
thf(1815,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o] :
( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( ~ ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $true )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1690]) ).
thf(1816,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1817,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1818,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK34_SY363 @ SV29 @ SV79 ) @ SV79 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1692]) ).
thf(1819,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV29 @ ( sK34_SY363 @ SV29 @ SV79 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1693]) ).
thf(1820,plain,
! [SV149: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1821,plain,
! [SV149: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1822,plain,
! [SV80: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK40_SY446 @ SV142 @ SV80 ) @ SV80 )
| ~ ( SV142 @ ( sK40_SY446 @ SV142 @ SV80 ) ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1695]) ).
thf(1823,plain,
! [SV80: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o] :
( ( ( SV142 @ SV153 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1696]) ).
thf(1824,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 ) )
= $true )
| ( SV81 = $true )
| ( ( hF_Mirabelle_hmem @ ( sK30_SY256 @ SV81 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1699]) ).
thf(1825,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf,SV171: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV171 @ SV31 )
= $false )
| ( SV81 = $true )
| ( SV81 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1700]) ).
thf(1826,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( $true = $true )
| ( ( hF_Mirabelle_hmem @ ( sK31_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1703]) ).
thf(1827,plain,
! [SV31: hF_Mirabelle_hf,SV172: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV172 @ SV31 )
= $false )
| ( $true = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1704]) ).
thf(1828,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( $false = $true )
| ( ( hF_Mirabelle_hmem @ ( sK32_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1707]) ).
thf(1829,plain,
! [SV31: hF_Mirabelle_hf,SV173: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV173 @ SV31 )
= $false )
| ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1708]) ).
thf(1830,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1831,plain,
! [SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV82 @ SV147 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1832,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
| ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $false )
| ( ( SV82 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1710]) ).
thf(1833,plain,
! [SV34: hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK42_SY457 @ SV84 @ SV148 @ SV34 ) @ SV34 )
| ( SV148
!= ( SV84 @ ( sK42_SY457 @ SV84 @ SV148 @ SV34 ) ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1711]) ).
thf(1834,plain,
! [SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf,SV160: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV160 @ SV34 ) )
= $true )
| ( ( SV148
!= ( SV84 @ SV160 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1712]) ).
thf(1835,plain,
! [SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK37_SY420 @ SV120 @ SV37 @ SV86 ) @ SV86 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1713]) ).
thf(1836,plain,
! [SV86: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( SV37
!= ( SV120 @ ( sK37_SY420 @ SV120 @ SV37 @ SV86 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1713]) ).
thf(1837,plain,
! [SV151: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
| ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
= ( SV120 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1714]) ).
thf(1838,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1715]) ).
thf(1839,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1715]) ).
thf(1840,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
| ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1716]) ).
thf(1841,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1716]) ).
thf(1842,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o] :
( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( ~ ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $true )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1717]) ).
thf(1843,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1718]) ).
thf(1844,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1718]) ).
thf(1845,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1719]) ).
thf(1846,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1720]) ).
thf(1847,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1721]) ).
thf(1848,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1721]) ).
thf(1849,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1850,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1723]) ).
thf(1851,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1723]) ).
thf(1852,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV47 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1853,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY471: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SY471 )
| ( SY471 = SV47 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1854,plain,
! [SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV152 @ SV95 ) )
= $true )
| ( ( ~ ( SV126 @ SV152 @ SV47 ) )
= $true )
| ( ( ~ ! [SY464: hF_Mirabelle_hf] :
( ~ ( SV126 @ SV152 @ SY464 )
| ( SY464 = SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1725]) ).
thf(1855,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV97 @ SV49 )
| ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) )
= $false )
| ( ( SV97 @ SV49 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1856,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 )
| ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(1857,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK41_SY455 @ SV145 @ SV53 ) @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK41_SY455 @ SV145 @ SV53 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1730]) ).
thf(1858,plain,
! [SV145: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf,SV156: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( ~ ( hF_Mirabelle_hmem @ SV145 @ SV156 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1731]) ).
thf(1859,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV157 @ SV56 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV157 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV157 @ SV133 ) ) )
= $true )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1732]) ).
thf(1860,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV157 @ SV133 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV157 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV157 @ SV133 ) ) )
= $true )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1732]) ).
thf(1861,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( SV56 = SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1733]) ).
thf(1862,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1734]) ).
thf(1863,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ( SV56 != SV133 )
| ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1735]) ).
thf(1864,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV167 @ SV56 )
| ( hF_Mirabelle_hmem @ SV167 @ SV133 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV167 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV167 @ SV133 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1736]) ).
thf(1865,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV155 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1738]) ).
thf(1866,plain,
! [SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV155 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) ) )
= $true )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1867,plain,
! [SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( SV155 = SV62 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV155 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) ) )
= $true )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1868,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1740]) ).
thf(1869,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1741]) ).
thf(1870,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1742]) ).
thf(1871,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
| ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1743]) ).
thf(1872,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
| ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV161 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(1873,plain,
! [SV12: $o] :
( ( SV12 = $true )
| ( SV12 = $false )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1745]) ).
thf(1874,plain,
! [SV12: $o] :
( ( $false = $true )
| ( SV12 = $false )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1746]) ).
thf(1875,plain,
! [SV12: $o] :
( ( SV12 = $true )
| ( $false = $false )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1747]) ).
thf(1876,plain,
! [SV12: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV12 = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1748]) ).
thf(1877,plain,
! [SV12: $o] :
( ( SV12 = $true )
| ( SV12 = $false )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1749]) ).
thf(1878,plain,
! [SV12: $o] :
( ( $false = $true )
| ( SV12 = $false )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1750]) ).
thf(1879,plain,
! [SV12: $o] :
( ( SV12 = $true )
| ( $false = $false )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1751]) ).
thf(1880,plain,
! [SV12: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV12 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1752]) ).
thf(1881,plain,
! [SV12: $o] :
( ( SV12 = $true )
| ( SV12 = $false )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1753]) ).
thf(1882,plain,
! [SV12: $o] :
( ( $false = $true )
| ( SV12 = $false )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1754]) ).
thf(1883,plain,
! [SV12: $o] :
( ( SV12 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1755]) ).
thf(1884,plain,
! [SV12: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV12 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1756]) ).
thf(1885,plain,
! [SV12: $o] :
( ( SV12 = $true )
| ( SV12 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1757]) ).
thf(1886,plain,
! [SV12: $o] :
( ( $false = $true )
| ( SV12 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1758]) ).
thf(1887,plain,
! [SV12: $o] :
( ( SV12 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1759]) ).
thf(1888,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1760]) ).
thf(1889,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1761]) ).
thf(1890,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(1891,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1763]) ).
thf(1892,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(1893,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1894,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1766]) ).
thf(1895,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1767]) ).
thf(1896,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1768]) ).
thf(1897,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1769]) ).
thf(1898,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1770]) ).
thf(1899,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1771]) ).
thf(1900,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1772]) ).
thf(1901,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(1902,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1774]) ).
thf(1903,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1775]) ).
thf(1904,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1776]) ).
thf(1905,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1777]) ).
thf(1906,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1778]) ).
thf(1907,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1779]) ).
thf(1908,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1780]) ).
thf(1909,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1781]) ).
thf(1910,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1782]) ).
thf(1911,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1783]) ).
thf(1912,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1784]) ).
thf(1913,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1785]) ).
thf(1914,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1786]) ).
thf(1915,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1787]) ).
thf(1916,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1788]) ).
thf(1917,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1789]) ).
thf(1918,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1790]) ).
thf(1919,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1791]) ).
thf(1920,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1792]) ).
thf(1921,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf,SV177: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV177 @ SV13 )
| ( hF_Mirabelle_hmem @ SV63 @ SV177 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK27_SY329 @ SV63 @ SV13 ) @ SV13 )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1795]) ).
thf(1922,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf,SV174: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV174 @ SV13 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV63 @ SV174 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( sK27_SY329 @ SV63 @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1796]) ).
thf(1923,plain,
! [SV64: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
= $false )
| ( ( ~ ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) ) )
= $true )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1798]) ).
thf(1924,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 )
| ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1800]) ).
thf(1925,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf,SV175: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV175 @ SV70 ) )
= $true )
| ( ( SV139 @ SV175 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK23_SY442 @ SV139 @ SV70 ) @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1801]) ).
thf(1926,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf,SV168: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV168 @ SV70 )
= $false )
| ( ( SV139 @ SV168 )
= $true )
| ( ( SV139 @ ( sK23_SY442 @ SV139 @ SV70 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1802]) ).
thf(1927,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1803]) ).
thf(1928,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1804]) ).
thf(1929,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1806]) ).
thf(1930,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= ( ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1806]) ).
thf(1931,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1807]) ).
thf(1932,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1811]) ).
thf(1933,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1812]) ).
thf(1934,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1813]) ).
thf(1935,plain,
! [SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o] :
( ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1815]) ).
thf(1936,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1816]) ).
thf(1937,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1817]) ).
thf(1938,plain,
! [SV149: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV29 @ ( hF_Mirabelle_HUnion @ SV79 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1820]) ).
thf(1939,plain,
! [SV149: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf] :
( ( ( ~ ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1821]) ).
thf(1940,plain,
! [SV80: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK40_SY446 @ SV142 @ SV80 ) @ SV80 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1822]) ).
thf(1941,plain,
! [SV80: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV142 @ ( sK40_SY446 @ SV142 @ SV80 ) ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1822]) ).
thf(1942,plain,
! [SV153: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 )
| ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( SV142 @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1823]) ).
thf(1943,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ~ ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 ) )
= $false )
| ( SV81 = $true )
| ( ( hF_Mirabelle_hmem @ ( sK30_SY256 @ SV81 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1824]) ).
thf(1944,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $false )
| ( $true = $true )
| ( ( hF_Mirabelle_hmem @ ( sK31_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1826]) ).
thf(1945,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ~ ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $false )
| ( $false = $true )
| ( ( hF_Mirabelle_hmem @ ( sK32_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1828]) ).
thf(1946,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1830]) ).
thf(1947,plain,
! [SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o] :
( ( ( SV82 @ SV147 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(1948,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $false )
| ( ( SV82 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1832]) ).
thf(1949,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $false )
| ( ( SV82 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1832]) ).
thf(1950,plain,
! [SV34: hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK42_SY457 @ SV84 @ SV148 @ SV34 ) @ SV34 )
| ( SV148
!= ( SV84 @ ( sK42_SY457 @ SV84 @ SV148 @ SV34 ) ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1833]) ).
thf(1951,plain,
! [SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf,SV160: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
!= ( SV84 @ SV160 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1834]) ).
thf(1952,plain,
! [SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK37_SY420 @ SV120 @ SV37 @ SV86 ) @ SV86 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1835]) ).
thf(1953,plain,
! [SV86: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( SV37
= ( SV120 @ ( sK37_SY420 @ SV120 @ SV37 @ SV86 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1836]) ).
thf(1954,plain,
! [SV151: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
= ( SV120 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1837]) ).
thf(1955,plain,
! [SV151: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV86: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
= ( SV120 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1837]) ).
thf(1956,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1838]) ).
thf(1957,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(1958,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1840]) ).
thf(1959,plain,
! [SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o] :
( ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1842]) ).
thf(1960,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1843]) ).
thf(1961,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1844]) ).
thf(1962,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1845]) ).
thf(1963,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1845]) ).
thf(1964,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV178: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV178 @ SV45 )
| ~ ( SV93 @ SV178 @ SV125 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1846]) ).
thf(1965,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1847]) ).
thf(1966,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1848]) ).
thf(1967,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1849]) ).
thf(1968,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1849]) ).
thf(1969,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1850]) ).
thf(1970,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1851]) ).
thf(1971,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV47 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1852]) ).
thf(1972,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ! [SY471: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SY471 )
| ( SY471 = SV47 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1853]) ).
thf(1973,plain,
! [SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ~ ( SV126 @ SV152 @ SV47 ) )
= $true )
| ( ( ~ ! [SY464: hF_Mirabelle_hf] :
( ~ ( SV126 @ SV152 @ SY464 )
| ( SY464 = SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1854]) ).
thf(1974,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV97 @ SV49 ) )
= $false )
| ( ( SV97 @ SV49 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1855]) ).
thf(1975,plain,
! [SV97: hF_Mirabelle_hf > $o,SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV49 @ SV127 ) )
= $false )
| ( ( SV97 @ SV49 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1855]) ).
thf(1976,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV98 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV128 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1856]) ).
thf(1977,plain,
! [SV98: hF_Mirabelle_hf,SV128: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV50 @ SV128 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV128 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1856]) ).
thf(1978,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK41_SY455 @ SV145 @ SV53 ) @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK41_SY455 @ SV145 @ SV53 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(1979,plain,
! [SV53: hF_Mirabelle_hf,SV156: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1858]) ).
thf(1980,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV157 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV157 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV157 @ SV56 )
= $false )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1859]) ).
thf(1981,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV157 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV157 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV157 @ SV133 )
= $false )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1860]) ).
thf(1982,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV179 @ SV56 )
= ( hF_Mirabelle_hmem @ SV179 @ SV133 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1862]) ).
thf(1983,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( SV56 != SV133 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1863]) ).
thf(1984,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ~ ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1863]) ).
thf(1985,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV167 @ SV56 )
| ( hF_Mirabelle_hmem @ SV167 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV167 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV167 @ SV133 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1864]) ).
thf(1986,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV155 @ SV11 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(1987,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(1988,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV155 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1866]) ).
thf(1989,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV155 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) )
= $false )
| ( ( SV155 = SV62 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1867]) ).
thf(1990,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1869]) ).
thf(1991,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(1992,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(1993,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( SV11
!= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1871]) ).
thf(1994,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ~ ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1871]) ).
thf(1995,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV161 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(1996,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV161 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(1997,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf,SV177: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV177 @ SV13 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV63 @ SV177 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK27_SY329 @ SV63 @ SV13 ) @ SV13 )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1921]) ).
thf(1998,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf,SV174: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV174 @ SV13 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV63 @ SV174 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV63 @ ( sK27_SY329 @ SV63 @ SV13 ) )
= $false )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1922]) ).
thf(1999,plain,
! [SV64: hF_Mirabelle_hf,SV109: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV14: hF_Mirabelle_hf,SV137: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV137 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
= $false )
| ( ( SV109 @ ( sK22_SY437 @ SV14 @ SV137 @ SV109 @ SV64 ) @ ( sK29_SY463 @ SV64 @ SV109 @ SV137 @ SV14 ) )
= $false )
| ( ( ( hF_Mirabelle_Replace @ SV14 @ SV109 )
= ( hF_Mirabelle_Replace @ SV64 @ SV137 ) )
= $true )
| ( ( SV14 = SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1923]) ).
thf(2000,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV69 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(2001,plain,
! [SV69: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(2002,plain,
! [SV139: hF_Mirabelle_hf > $o,SV70: hF_Mirabelle_hf,SV175: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV175 @ SV70 )
= $false )
| ( ( SV139 @ SV175 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK23_SY442 @ SV139 @ SV70 ) @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1925]) ).
thf(2003,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1927]) ).
thf(2004,plain,
! [SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1927]) ).
thf(2005,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1928]) ).
thf(2006,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1929]) ).
thf(2007,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1931]) ).
thf(2008,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1932]) ).
thf(2009,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1932]) ).
thf(2010,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1933]) ).
thf(2011,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1933]) ).
thf(2012,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1934]) ).
thf(2013,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
| ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1935]) ).
thf(2014,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1935]) ).
thf(2015,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1936]) ).
thf(2016,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1936]) ).
thf(2017,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1937]) ).
thf(2018,plain,
! [SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1937]) ).
thf(2019,plain,
! [SV149: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV79: hF_Mirabelle_hf] :
( ( ( ! [SY363: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY363 @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ SY363 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1939]) ).
thf(2020,plain,
! [SV80: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o] :
( ( ( hF_Mirabelle_hmem @ ( sK40_SY446 @ SV142 @ SV80 ) @ SV80 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1940]) ).
thf(2021,plain,
! [SV80: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o] :
( ( ( SV142 @ ( sK40_SY446 @ SV142 @ SV80 ) )
= $true )
| ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1941]) ).
thf(2022,plain,
! [SV153: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV80 @ SV142 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( SV142 @ SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1942]) ).
thf(2023,plain,
! [SV153: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( SV142 @ SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1942]) ).
thf(2024,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf] :
( ( ( ! [SY256: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SY256 @ SV31 ) )
= $true )
| ( SV81 = $true )
| ( ( hF_Mirabelle_hmem @ ( sK30_SY256 @ SV81 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1943]) ).
thf(2025,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( $true = $true )
| ( ( hF_Mirabelle_hmem @ ( sK31_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1944]) ).
thf(2026,plain,
! [SV31: hF_Mirabelle_hf] :
( ( ( ! [SX0: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ SX0 @ SV31 ) )
= $true )
| ( $false = $true )
| ( ( hF_Mirabelle_hmem @ ( sK32_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1945]) ).
thf(2027,plain,
! [SV32: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o,SV147: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV147 @ ( sK3_SY368 @ SV82 @ SV32 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $false )
| ( ( SV82 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1948]) ).
thf(2028,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $false )
| ( ( SV82 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1949]) ).
thf(2029,plain,
! [SV34: hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK42_SY457 @ SV84 @ SV148 @ SV34 ) @ SV34 )
| ( SV148
!= ( SV84 @ ( sK42_SY457 @ SV84 @ SV148 @ SV34 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1950]) ).
thf(2030,plain,
! [SV34: hF_Mirabelle_hf,SV160: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( SV148
= ( SV84 @ SV160 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1951]) ).
thf(2031,plain,
! [SV151: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV37 @ ( hF_Mirabelle_RepFun @ SV86 @ SV120 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
= ( SV120 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1954]) ).
thf(2032,plain,
! [SV151: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV86: hF_Mirabelle_hf] :
( ( ( ~ ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
= ( SV120 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1955]) ).
thf(2033,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1956]) ).
thf(2034,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1956]) ).
thf(2035,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1957]) ).
thf(2036,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1957]) ).
thf(2037,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1958]) ).
thf(2038,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
| ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1959]) ).
thf(2039,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1959]) ).
thf(2040,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1960]) ).
thf(2041,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1960]) ).
thf(2042,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(2043,plain,
! [SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(2044,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1962]) ).
thf(2045,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1963]) ).
thf(2046,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV178: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV178 @ SV45 )
| ~ ( SV93 @ SV178 @ SV125 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1964]) ).
thf(2047,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1965]) ).
thf(2048,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1965]) ).
thf(2049,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV181: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV181 @ SV45 )
| ~ ( SV93 @ SV181 @ SV125 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1966]) ).
thf(2050,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1967]) ).
thf(2051,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1968]) ).
thf(2052,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1969]) ).
thf(2053,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1969]) ).
thf(2054,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV182 @ SV45 )
| ~ ( SV93 @ SV182 @ SV125 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1970]) ).
thf(2055,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1971]) ).
thf(2056,plain,
! [SV183: hF_Mirabelle_hf,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV183 )
| ( SV183 = SV47 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1972]) ).
thf(2057,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ~ ! [SY464: hF_Mirabelle_hf] :
( ~ ( SV126 @ SV152 @ SY464 )
| ( SY464 = SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1973]) ).
thf(2058,plain,
! [SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf,SV97: hF_Mirabelle_hf > $o] :
( ( ( SV97 @ SV49 )
= $true )
| ( ( SV97 @ SV49 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1974]) ).
thf(2059,plain,
! [SV97: hF_Mirabelle_hf > $o,SV127: hF_Mirabelle_hf,SV49: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV49 @ SV127 )
= $true )
| ( ( SV97 @ SV49 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV49 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1975]) ).
thf(2060,plain,
! [SV128: hF_Mirabelle_hf,SV98: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV128 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1976]) ).
thf(2061,plain,
! [SV98: hF_Mirabelle_hf,SV128: hF_Mirabelle_hf,SV50: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV50 @ SV128 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV98 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV50 @ SV128 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1977]) ).
thf(2062,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK41_SY455 @ SV145 @ SV53 ) @ SV53 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1978]) ).
thf(2063,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK41_SY455 @ SV145 @ SV53 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1978]) ).
thf(2064,plain,
! [SV156: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
| ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1979]) ).
thf(2065,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV157 @ SV56 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV157 @ SV56 )
= $false )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1980]) ).
thf(2066,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV157 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV157 @ SV56 )
= $false )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1980]) ).
thf(2067,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV157 @ SV56 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV157 @ SV133 )
= $false )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1981]) ).
thf(2068,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV157 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV157 @ SV133 )
= $false )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1981]) ).
thf(2069,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV179 @ SV56 )
| ( hF_Mirabelle_hmem @ SV179 @ SV133 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV179 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV179 @ SV133 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1982]) ).
thf(2070,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV179 @ SV56 )
= ( hF_Mirabelle_hmem @ SV179 @ SV133 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1982]) ).
thf(2071,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( SV56 = SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1983]) ).
thf(2072,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf] :
( ( ( ! [SY434: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY434 @ SV56 )
= ( hF_Mirabelle_hmem @ SY434 @ SV133 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1984]) ).
thf(2073,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV167 @ SV56 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV167 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV167 @ SV133 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(2074,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV167 @ SV133 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV167 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV167 @ SV133 ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(2075,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1986]) ).
thf(2076,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1987]) ).
thf(2077,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV155 @ SV11 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1988]) ).
thf(2078,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1988]) ).
thf(2079,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV155 @ SV11 ) )
= $false )
| ( ( SV155 = SV62 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1989]) ).
thf(2080,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) ) )
= $false )
| ( ( SV155 = SV62 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1989]) ).
thf(2081,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
| ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV180 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1990]) ).
thf(2082,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1990]) ).
thf(2083,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1991]) ).
thf(2084,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1992]) ).
thf(2085,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1993]) ).
thf(2086,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf] :
( ( ( ! [SY407: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ SY407 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SY407 @ SV108 )
| ( SY407 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1994]) ).
thf(2087,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV161 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1995]) ).
thf(2088,plain,
! [SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV161 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1996]) ).
thf(2089,plain,
! [SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( SV161 = SV62 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV161 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) ) )
= $true )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1996]) ).
thf(2090,plain,
! [SV63: hF_Mirabelle_hf,SV13: hF_Mirabelle_hf,SV177: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV177 @ SV13 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV63 @ SV177 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK27_SY329 @ SV63 @ SV13 ) @ SV13 )
= $true )
| ( ( SV13 = zero_z189798548lle_hf )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1997]) ).
thf(2091,plain,
! [SV112: hF_Mirabelle_hf,SV69: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2000]) ).
thf(2092,plain,
! [SV69: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV19 @ SV112 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2001]) ).
thf(2093,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2003]) ).
thf(2094,plain,
! [SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2004]) ).
thf(2095,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2005]) ).
thf(2096,plain,
! [SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2005]) ).
thf(2097,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2006]) ).
thf(2098,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2007]) ).
thf(2099,plain,
! [SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2007]) ).
thf(2100,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2008]) ).
thf(2101,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2009]) ).
thf(2102,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2010]) ).
thf(2103,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) @ SV76 )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2011]) ).
thf(2104,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2012]) ).
thf(2105,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2012]) ).
thf(2106,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2013]) ).
thf(2107,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2015]) ).
thf(2108,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2016]) ).
thf(2109,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2017]) ).
thf(2110,plain,
! [SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2018]) ).
thf(2111,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK43_SY363 @ SV149 @ SV29 @ SV79 ) @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ ( sK43_SY363 @ SV149 @ SV29 @ SV79 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2019]) ).
thf(2112,plain,
! [SV153: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV80 @ SV142 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( SV142 @ SV153 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2022]) ).
thf(2113,plain,
! [SV153: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ~ ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( SV142 @ SV153 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2023]) ).
thf(2114,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf,SV184: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV184 @ SV31 ) )
= $true )
| ( SV81 = $true )
| ( ( hF_Mirabelle_hmem @ ( sK30_SY256 @ SV81 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2024]) ).
thf(2115,plain,
! [SV31: hF_Mirabelle_hf,SV185: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV185 @ SV31 ) )
= $true )
| ( $true = $true )
| ( ( hF_Mirabelle_hmem @ ( sK31_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2025]) ).
thf(2116,plain,
! [SV31: hF_Mirabelle_hf,SV186: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV186 @ SV31 ) )
= $true )
| ( $false = $true )
| ( ( hF_Mirabelle_hmem @ ( sK32_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2026]) ).
thf(2117,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 )
| ~ ( SV82 @ SV147 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $false )
| ( ( SV82 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2028]) ).
thf(2118,plain,
! [SV34: hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK42_SY457 @ SV84 @ SV148 @ SV34 ) @ SV34 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2029]) ).
thf(2119,plain,
! [SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( SV148
!= ( SV84 @ ( sK42_SY457 @ SV84 @ SV148 @ SV34 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2029]) ).
thf(2120,plain,
! [SV160: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
| ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
= ( SV84 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2030]) ).
thf(2121,plain,
! [SV151: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV86: hF_Mirabelle_hf] :
( ( ( ! [SY420: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY420 @ SV86 )
| ( SV37
!= ( SV120 @ SY420 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
= ( SV120 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2032]) ).
thf(2122,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2033]) ).
thf(2123,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2034]) ).
thf(2124,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2035]) ).
thf(2125,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) @ SV88 )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2036]) ).
thf(2126,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2037]) ).
thf(2127,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2037]) ).
thf(2128,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2038]) ).
thf(2129,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2040]) ).
thf(2130,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2041]) ).
thf(2131,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2042]) ).
thf(2132,plain,
! [SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2043]) ).
thf(2133,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2045]) ).
thf(2134,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV178: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV178 @ SV45 )
| ~ ( SV93 @ SV178 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2046]) ).
thf(2135,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2047]) ).
thf(2136,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2048]) ).
thf(2137,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV181: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV181 @ SV45 )
| ~ ( SV93 @ SV181 @ SV125 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2049]) ).
thf(2138,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2050]) ).
thf(2139,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2050]) ).
thf(2140,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV187 @ SV45 )
| ~ ( SV93 @ SV187 @ SV125 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2051]) ).
thf(2141,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2052]) ).
thf(2142,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2053]) ).
thf(2143,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV182 @ SV45 )
| ~ ( SV93 @ SV182 @ SV125 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2054]) ).
thf(2144,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV95 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2055]) ).
thf(2145,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2055]) ).
thf(2146,plain,
! [SV183: hF_Mirabelle_hf,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV183 ) )
= $true )
| ( ( SV183 = SV47 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2056]) ).
thf(2147,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ! [SY464: hF_Mirabelle_hf] :
( ~ ( SV126 @ SV152 @ SY464 )
| ( SY464 = SV47 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2057]) ).
thf(2148,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK41_SY455 @ SV145 @ SV53 ) @ SV53 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2062]) ).
thf(2149,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV145 @ ( sK41_SY455 @ SV145 @ SV53 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2063]) ).
thf(2150,plain,
! [SV156: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2064]) ).
thf(2151,plain,
! [SV156: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2064]) ).
thf(2152,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV157 @ SV56 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV157 @ SV56 )
= $false )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2065]) ).
thf(2153,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV157 @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV157 @ SV56 )
= $false )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2066]) ).
thf(2154,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV157 @ SV56 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV157 @ SV133 )
= $false )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2067]) ).
thf(2155,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV157: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV157 @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV157 @ SV133 )
= $false )
| ( ( SV56 = SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2068]) ).
thf(2156,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV179 @ SV56 )
| ( hF_Mirabelle_hmem @ SV179 @ SV133 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV179 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV179 @ SV133 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2069]) ).
thf(2157,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV188 @ SV56 )
= ( hF_Mirabelle_hmem @ SV188 @ SV133 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2072]) ).
thf(2158,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV167 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV167 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV167 @ SV56 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2073]) ).
thf(2159,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV167 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV167 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV167 @ SV133 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2074]) ).
thf(2160,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
= $true )
| ( ( SV155 = SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2076]) ).
thf(2161,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2077]) ).
thf(2162,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2078]) ).
thf(2163,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV155 @ SV11 )
= $true )
| ( ( SV155 = SV62 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2079]) ).
thf(2164,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
| ( SV155 = SV62 ) )
= $true )
| ( ( SV155 = SV62 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2080]) ).
thf(2165,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
| ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV180 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2081]) ).
thf(2166,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2084]) ).
thf(2167,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2086]) ).
thf(2168,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV161 @ SV11 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2087]) ).
thf(2169,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2087]) ).
thf(2170,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV161 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2088]) ).
thf(2171,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV161 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) )
= $false )
| ( ( SV161 = SV62 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2089]) ).
thf(2172,plain,
! [SV69: hF_Mirabelle_hf,SV112: hF_Mirabelle_hf,SV19: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV69 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV19 @ SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2092]) ).
thf(2173,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2093]) ).
thf(2174,plain,
! [SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2093]) ).
thf(2175,plain,
! [SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV191 @ SV21 )
| ~ ( SV71 @ SV191 @ SV163 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2094]) ).
thf(2176,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2095]) ).
thf(2177,plain,
! [SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2096]) ).
thf(2178,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2097]) ).
thf(2179,plain,
! [SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2097]) ).
thf(2180,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2098]) ).
thf(2181,plain,
! [SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2099]) ).
thf(2182,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2104]) ).
thf(2183,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2105]) ).
thf(2184,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2106]) ).
thf(2185,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK43_SY363 @ SV149 @ SV29 @ SV79 ) @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ ( sK43_SY363 @ SV149 @ SV29 @ SV79 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2111]) ).
thf(2186,plain,
! [SV153: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o,SV80: hF_Mirabelle_hf] :
( ( ( ! [SY446: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY446 @ SV80 )
| ~ ( SV142 @ SY446 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( SV142 @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2113]) ).
thf(2187,plain,
! [SV81: $o,SV31: hF_Mirabelle_hf,SV184: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV184 @ SV31 )
= $false )
| ( SV81 = $true )
| ( ( hF_Mirabelle_hmem @ ( sK30_SY256 @ SV81 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2114]) ).
thf(2188,plain,
! [SV31: hF_Mirabelle_hf,SV185: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV185 @ SV31 )
= $false )
| ( $true = $true )
| ( ( hF_Mirabelle_hmem @ ( sK31_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2115]) ).
thf(2189,plain,
! [SV31: hF_Mirabelle_hf,SV186: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV186 @ SV31 )
= $false )
| ( $false = $true )
| ( ( hF_Mirabelle_hmem @ ( sK32_SX0 @ SV31 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2116]) ).
thf(2190,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV147 @ SV32 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $false )
| ( ( SV82 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2117]) ).
thf(2191,plain,
! [SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV82 @ SV147 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $false )
| ( ( SV82 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2117]) ).
thf(2192,plain,
! [SV34: hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK42_SY457 @ SV84 @ SV148 @ SV34 ) @ SV34 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2118]) ).
thf(2193,plain,
! [SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( SV148
= ( SV84 @ ( sK42_SY457 @ SV84 @ SV148 @ SV34 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2119]) ).
thf(2194,plain,
! [SV160: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
= ( SV84 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2120]) ).
thf(2195,plain,
! [SV160: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
= ( SV84 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2120]) ).
thf(2196,plain,
! [SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV151: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK44_SY420 @ SV151 @ SV120 @ SV37 @ SV86 ) @ SV86 )
| ( SV37
!= ( SV120 @ ( sK44_SY420 @ SV151 @ SV120 @ SV37 @ SV86 ) ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
= ( SV120 @ SV151 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2121]) ).
thf(2197,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2126]) ).
thf(2198,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2127]) ).
thf(2199,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2128]) ).
thf(2200,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK45_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK45_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2133]) ).
thf(2201,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV178: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV178 @ SV45 ) )
= $true )
| ( ( ~ ( SV93 @ SV178 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2134]) ).
thf(2202,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2136]) ).
thf(2203,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV181: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV181 @ SV45 )
| ~ ( SV93 @ SV181 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2137]) ).
thf(2204,plain,
! [SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2138]) ).
thf(2205,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2139]) ).
thf(2206,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV187 @ SV45 )
| ~ ( SV93 @ SV187 @ SV125 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2140]) ).
thf(2207,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2142]) ).
thf(2208,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV182 @ SV45 )
| ~ ( SV93 @ SV182 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2143]) ).
thf(2209,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV95 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2144]) ).
thf(2210,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV47 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2145]) ).
thf(2211,plain,
! [SV183: hF_Mirabelle_hf,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV126 @ ( sK38_SY429 @ SV47 @ SV126 @ SV95 ) @ SV183 )
= $false )
| ( ( SV183 = SV47 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2146]) ).
thf(2212,plain,
! [SV47: hF_Mirabelle_hf,SV95: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
| ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2147]) ).
thf(2213,plain,
! [SV156: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV145 @ ( sK1_SY311 @ SV53 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2150]) ).
thf(2214,plain,
! [SV156: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf] :
( ( ( ~ ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2151]) ).
thf(2215,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV179 @ SV56 )
| ( hF_Mirabelle_hmem @ SV179 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV179 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV179 @ SV133 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2156]) ).
thf(2216,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV188 @ SV56 )
| ( hF_Mirabelle_hmem @ SV188 @ SV133 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV188 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV188 @ SV133 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2157]) ).
thf(2217,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV188 @ SV56 )
= ( hF_Mirabelle_hmem @ SV188 @ SV133 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2157]) ).
thf(2218,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV167 @ SV56 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV167 @ SV56 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2158]) ).
thf(2219,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV167 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV167 @ SV56 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2158]) ).
thf(2220,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV167 @ SV56 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV167 @ SV133 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2159]) ).
thf(2221,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV167 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV167 @ SV133 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2159]) ).
thf(2222,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
= $true )
| ( ( SV155 = SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2162]) ).
thf(2223,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV155: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV155 @ SV108 )
= $true )
| ( ( SV155 = SV62 )
= $true )
| ( ( SV155 = SV62 )
= $false )
| ( ( SV11
= ( hF_Mirabelle_hinsert @ SV62 @ SV108 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2164]) ).
thf(2224,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
| ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV180 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2165]) ).
thf(2225,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
| ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV189 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2166]) ).
thf(2226,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2166]) ).
thf(2227,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
| ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) )
| ~ ( ~ ( hF_Mirabelle_hmem @ SV190 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2167]) ).
thf(2228,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
= ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2167]) ).
thf(2229,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2168]) ).
thf(2230,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2169]) ).
thf(2231,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV161 @ SV11 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2170]) ).
thf(2232,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2170]) ).
thf(2233,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV161 @ SV11 ) )
= $false )
| ( ( SV161 = SV62 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2171]) ).
thf(2234,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) ) )
= $false )
| ( ( SV161 = SV62 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2171]) ).
thf(2235,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2173]) ).
thf(2236,plain,
! [SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2174]) ).
thf(2237,plain,
! [SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV191 @ SV21 )
| ~ ( SV71 @ SV191 @ SV163 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2175]) ).
thf(2238,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2176]) ).
thf(2239,plain,
! [SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2176]) ).
thf(2240,plain,
! [SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV192 @ SV21 )
| ~ ( SV71 @ SV192 @ SV169 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2177]) ).
thf(2241,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2178]) ).
thf(2242,plain,
! [SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2179]) ).
thf(2243,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2180]) ).
thf(2244,plain,
! [SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2180]) ).
thf(2245,plain,
! [SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV193 @ SV21 )
| ~ ( SV71 @ SV193 @ SV170 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2181]) ).
thf(2246,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2182]) ).
thf(2247,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2182]) ).
thf(2248,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2183]) ).
thf(2249,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2183]) ).
thf(2250,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2184]) ).
thf(2251,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2184]) ).
thf(2252,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK43_SY363 @ SV149 @ SV29 @ SV79 ) @ SV79 )
| ~ ( hF_Mirabelle_hmem @ SV29 @ ( sK43_SY363 @ SV149 @ SV29 @ SV79 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2185]) ).
thf(2253,plain,
! [SV80: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o,SV153: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK47_SY446 @ SV153 @ SV142 @ SV80 ) @ SV80 )
| ~ ( SV142 @ ( sK47_SY446 @ SV153 @ SV142 @ SV80 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( SV142 @ SV153 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2186]) ).
thf(2254,plain,
! [SV82: hF_Mirabelle_hf > $o,SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $false )
| ( ( SV82 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2190]) ).
thf(2255,plain,
! [SV32: hF_Mirabelle_hf,SV147: hF_Mirabelle_hf,SV82: hF_Mirabelle_hf > $o] :
( ( ( SV82 @ SV147 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV147 @ SV32 )
= $false )
| ( ( SV82 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2191]) ).
thf(2256,plain,
! [SV160: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV148 @ ( sK4_SY371 @ SV84 @ SV34 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
= ( SV84 @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2194]) ).
thf(2257,plain,
! [SV160: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ( ~ ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
= ( SV84 @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2195]) ).
thf(2258,plain,
! [SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV151: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK44_SY420 @ SV151 @ SV120 @ SV37 @ SV86 ) @ SV86 )
| ( SV37
!= ( SV120 @ ( sK44_SY420 @ SV151 @ SV120 @ SV37 @ SV86 ) ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
= ( SV120 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2196]) ).
thf(2259,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2197]) ).
thf(2260,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2197]) ).
thf(2261,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2198]) ).
thf(2262,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2198]) ).
thf(2263,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2199]) ).
thf(2264,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2199]) ).
thf(2265,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK45_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK45_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2200]) ).
thf(2266,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV178: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( ~ ( SV93 @ SV178 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2201]) ).
thf(2267,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK48_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK48_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2202]) ).
thf(2268,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV181: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV181 @ SV45 ) )
= $true )
| ( ( ~ ( SV93 @ SV181 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2203]) ).
thf(2269,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2205]) ).
thf(2270,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV187 @ SV45 )
| ~ ( SV93 @ SV187 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2206]) ).
thf(2271,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK49_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK49_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2207]) ).
thf(2272,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV182 @ SV45 ) )
= $true )
| ( ( ~ ( SV93 @ SV182 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2208]) ).
thf(2273,plain,
! [SV47: hF_Mirabelle_hf,SV95: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2212]) ).
thf(2274,plain,
! [SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV152: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV95: hF_Mirabelle_hf] :
( ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2212]) ).
thf(2275,plain,
! [SV156: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf,SV53: hF_Mirabelle_hf] :
( ( ( ! [SY455: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY455 @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ SY455 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2214]) ).
thf(2276,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV179 @ SV56 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV179 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV179 @ SV133 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2215]) ).
thf(2277,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV179 @ SV133 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV179 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV179 @ SV133 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2215]) ).
thf(2278,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV188 @ SV56 )
| ( hF_Mirabelle_hmem @ SV188 @ SV133 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV188 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV188 @ SV133 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2216]) ).
thf(2279,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV167 @ SV56 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV167 @ SV56 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2218]) ).
thf(2280,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV167 @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV167 @ SV56 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2219]) ).
thf(2281,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV167 @ SV56 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV167 @ SV133 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2220]) ).
thf(2282,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV167: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV167 @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV167 @ SV133 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2221]) ).
thf(2283,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV180 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2224]) ).
thf(2284,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV180 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2224]) ).
thf(2285,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
| ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV189 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2225]) ).
thf(2286,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
| ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV190 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2227]) ).
thf(2287,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
= $true )
| ( ( SV161 = SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2230]) ).
thf(2288,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2231]) ).
thf(2289,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2232]) ).
thf(2290,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV161 @ SV11 )
= $true )
| ( ( SV161 = SV62 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2233]) ).
thf(2291,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
| ( SV161 = SV62 ) )
= $true )
| ( ( SV161 = SV62 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2234]) ).
thf(2292,plain,
! [SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2236]) ).
thf(2293,plain,
! [SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV191 @ SV21 )
| ~ ( SV71 @ SV191 @ SV163 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2237]) ).
thf(2294,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2238]) ).
thf(2295,plain,
! [SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2239]) ).
thf(2296,plain,
! [SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV192 @ SV21 )
| ~ ( SV71 @ SV192 @ SV169 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2240]) ).
thf(2297,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2241]) ).
thf(2298,plain,
! [SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2241]) ).
thf(2299,plain,
! [SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SV194 @ SV21 )
| ~ ( SV71 @ SV194 @ SV176 ) ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2242]) ).
thf(2300,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2243]) ).
thf(2301,plain,
! [SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2244]) ).
thf(2302,plain,
! [SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV193 @ SV21 )
| ~ ( SV71 @ SV193 @ SV170 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2245]) ).
thf(2303,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2246]) ).
thf(2304,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2247]) ).
thf(2305,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2248]) ).
thf(2306,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $true )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2249]) ).
thf(2307,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2250]) ).
thf(2308,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 )
| ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2251]) ).
thf(2309,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK43_SY363 @ SV149 @ SV29 @ SV79 ) @ SV79 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2252]) ).
thf(2310,plain,
! [SV79: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV29 @ ( sK43_SY363 @ SV149 @ SV29 @ SV79 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2252]) ).
thf(2311,plain,
! [SV80: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o,SV153: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK47_SY446 @ SV153 @ SV142 @ SV80 ) @ SV80 )
| ~ ( SV142 @ ( sK47_SY446 @ SV153 @ SV142 @ SV80 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( SV142 @ SV153 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2253]) ).
thf(2312,plain,
! [SV160: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV34: hF_Mirabelle_hf] :
( ( ( ! [SY457: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY457 @ SV34 )
| ( SV148
!= ( SV84 @ SY457 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
= ( SV84 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2257]) ).
thf(2313,plain,
! [SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV151: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK44_SY420 @ SV151 @ SV120 @ SV37 @ SV86 ) @ SV86 )
| ( SV37
!= ( SV120 @ ( sK44_SY420 @ SV151 @ SV120 @ SV37 @ SV86 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
= ( SV120 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2258]) ).
thf(2314,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2259]) ).
thf(2315,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2260]) ).
thf(2316,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2261]) ).
thf(2317,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $true )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2262]) ).
thf(2318,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2263]) ).
thf(2319,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 )
| ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2264]) ).
thf(2320,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK45_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK45_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2265]) ).
thf(2321,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV178: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2266]) ).
thf(2322,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK48_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK48_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2267]) ).
thf(2323,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV181: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( ~ ( SV93 @ SV181 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2268]) ).
thf(2324,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK50_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK50_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2269]) ).
thf(2325,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV187 @ SV45 ) )
= $true )
| ( ( ~ ( SV93 @ SV187 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2270]) ).
thf(2326,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK49_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK49_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2271]) ).
thf(2327,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( ~ ( SV93 @ SV182 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2272]) ).
thf(2328,plain,
! [SV47: hF_Mirabelle_hf,SV95: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2273]) ).
thf(2329,plain,
! [SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2274]) ).
thf(2330,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf,SV156: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK51_SY455 @ SV156 @ SV145 @ SV53 ) @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK51_SY455 @ SV156 @ SV145 @ SV53 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2275]) ).
thf(2331,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV179 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV179 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV179 @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2276]) ).
thf(2332,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV179 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV179 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV179 @ SV133 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2277]) ).
thf(2333,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV188 @ SV56 )
| ( hF_Mirabelle_hmem @ SV188 @ SV133 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV188 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV188 @ SV133 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2278]) ).
thf(2334,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV180 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2283]) ).
thf(2335,plain,
! [SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV180 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2284]) ).
thf(2336,plain,
! [SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( SV180 = SV62 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV180 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2284]) ).
thf(2337,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
| ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV189 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2285]) ).
thf(2338,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
| ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV190 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2286]) ).
thf(2339,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
= $true )
| ( ( SV161 = SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2289]) ).
thf(2340,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV161: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV161 @ SV108 )
= $true )
| ( ( SV161 = SV62 )
= $true )
| ( ( SV161 = SV62 )
= $false )
| ( ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
| ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2291]) ).
thf(2341,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK52_SY472 @ SV163 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK52_SY472 @ SV163 @ SV71 @ SV21 ) @ SV163 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2292]) ).
thf(2342,plain,
! [SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV191 @ SV21 ) )
= $true )
| ( ( ~ ( SV71 @ SV191 @ SV163 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2293]) ).
thf(2343,plain,
! [SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2295]) ).
thf(2344,plain,
! [SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV192 @ SV21 )
| ~ ( SV71 @ SV192 @ SV169 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2296]) ).
thf(2345,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2297]) ).
thf(2346,plain,
! [SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2298]) ).
thf(2347,plain,
! [SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV194 @ SV21 )
| ~ ( SV71 @ SV194 @ SV176 ) ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2299]) ).
thf(2348,plain,
! [SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2301]) ).
thf(2349,plain,
! [SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV193 @ SV21 )
| ~ ( SV71 @ SV193 @ SV170 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2302]) ).
thf(2350,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2307]) ).
thf(2351,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2307]) ).
thf(2352,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV26 @ SV116 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2308]) ).
thf(2353,plain,
! [SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBall @ SV76 @ SV141 ) )
= $false )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2308]) ).
thf(2354,plain,
! [SV79: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK43_SY363 @ SV149 @ SV29 @ SV79 ) @ SV79 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2309]) ).
thf(2355,plain,
! [SV79: hF_Mirabelle_hf,SV149: hF_Mirabelle_hf,SV29: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV29 @ ( sK43_SY363 @ SV149 @ SV29 @ SV79 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV149 @ SV79 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV29 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2310]) ).
thf(2356,plain,
! [SV80: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o,SV153: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK47_SY446 @ SV153 @ SV142 @ SV80 ) @ SV80 )
| ~ ( SV142 @ ( sK47_SY446 @ SV153 @ SV142 @ SV80 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( SV142 @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2311]) ).
thf(2357,plain,
! [SV34: hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV160: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK53_SY457 @ SV160 @ SV84 @ SV148 @ SV34 ) @ SV34 )
| ( SV148
!= ( SV84 @ ( sK53_SY457 @ SV160 @ SV84 @ SV148 @ SV34 ) ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
= ( SV84 @ SV160 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2312]) ).
thf(2358,plain,
! [SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV151: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK44_SY420 @ SV151 @ SV120 @ SV37 @ SV86 ) @ SV86 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
= ( SV120 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2313]) ).
thf(2359,plain,
! [SV86: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( SV37
!= ( SV120 @ ( sK44_SY420 @ SV151 @ SV120 @ SV37 @ SV86 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
= ( SV120 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2313]) ).
thf(2360,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2318]) ).
thf(2361,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2318]) ).
thf(2362,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV40 @ SV122 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2319]) ).
thf(2363,plain,
! [SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_HBex @ SV88 @ SV144 ) )
= $false )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2319]) ).
thf(2364,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK45_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2320]) ).
thf(2365,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV93 @ ( sK45_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2320]) ).
thf(2366,plain,
! [SV178: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2321]) ).
thf(2367,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK48_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK48_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2322]) ).
thf(2368,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV181: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2323]) ).
thf(2369,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK50_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK50_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2324]) ).
thf(2370,plain,
! [SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( ~ ( SV93 @ SV187 @ SV125 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2325]) ).
thf(2371,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK49_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK49_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2326]) ).
thf(2372,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2327]) ).
thf(2373,plain,
! [SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
| ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2328]) ).
thf(2374,plain,
! [SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2329]) ).
thf(2375,plain,
! [SV152: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2329]) ).
thf(2376,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf,SV156: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK51_SY455 @ SV156 @ SV145 @ SV53 ) @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK51_SY455 @ SV156 @ SV145 @ SV53 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2330]) ).
thf(2377,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV179 @ SV56 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV179 @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2331]) ).
thf(2378,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV179 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV179 @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2331]) ).
thf(2379,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV179 @ SV56 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV179 @ SV133 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2332]) ).
thf(2380,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV179 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV179 @ SV133 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2332]) ).
thf(2381,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV188 @ SV56 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV188 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV188 @ SV133 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2333]) ).
thf(2382,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV188 @ SV133 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV188 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV188 @ SV133 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2333]) ).
thf(2383,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV180 @ SV11 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2334]) ).
thf(2384,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2334]) ).
thf(2385,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV180 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2335]) ).
thf(2386,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV180 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) )
= $false )
| ( ( SV180 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2336]) ).
thf(2387,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV189 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2337]) ).
thf(2388,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV189 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2337]) ).
thf(2389,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV190 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2338]) ).
thf(2390,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV190 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2338]) ).
thf(2391,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK52_SY472 @ SV163 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK52_SY472 @ SV163 @ SV71 @ SV21 ) @ SV163 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2341]) ).
thf(2392,plain,
! [SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( ~ ( SV71 @ SV191 @ SV163 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2342]) ).
thf(2393,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK54_SY475 @ SV169 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK54_SY475 @ SV169 @ SV71 @ SV21 ) @ SV169 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2343]) ).
thf(2394,plain,
! [SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV192 @ SV21 ) )
= $true )
| ( ( ~ ( SV71 @ SV192 @ SV169 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2344]) ).
thf(2395,plain,
! [SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2346]) ).
thf(2396,plain,
! [SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV194 @ SV21 )
| ~ ( SV71 @ SV194 @ SV176 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2347]) ).
thf(2397,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK55_SY476 @ SV170 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK55_SY476 @ SV170 @ SV71 @ SV21 ) @ SV170 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2348]) ).
thf(2398,plain,
! [SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV193 @ SV21 ) )
= $true )
| ( ( ~ ( SV71 @ SV193 @ SV170 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2349]) ).
thf(2399,plain,
! [SV76: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2350]) ).
thf(2400,plain,
! [SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $false )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2351]) ).
thf(2401,plain,
! [SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV26: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV26 @ SV116 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2352]) ).
thf(2402,plain,
! [SV26: hF_Mirabelle_hf,SV116: hF_Mirabelle_hf > $o,SV141: hF_Mirabelle_hf > $o,SV76: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $true )
| ( ( hF_Mirabelle_HBall @ SV76 @ SV141 )
= $false )
| ( ( SV116 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV141 @ ( sK25_SY445 @ SV26 @ SV141 @ SV116 @ SV76 ) )
= $false )
| ( ( SV26 = SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2353]) ).
thf(2403,plain,
! [SV80: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o,SV153: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK47_SY446 @ SV153 @ SV142 @ SV80 ) @ SV80 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( SV142 @ SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2356]) ).
thf(2404,plain,
! [SV80: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV142 @ ( sK47_SY446 @ SV153 @ SV142 @ SV80 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( SV142 @ SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2356]) ).
thf(2405,plain,
! [SV34: hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV160: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK53_SY457 @ SV160 @ SV84 @ SV148 @ SV34 ) @ SV34 )
| ( SV148
!= ( SV84 @ ( sK53_SY457 @ SV160 @ SV84 @ SV148 @ SV34 ) ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
= ( SV84 @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2357]) ).
thf(2406,plain,
! [SV86: hF_Mirabelle_hf,SV37: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV151: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK44_SY420 @ SV151 @ SV120 @ SV37 @ SV86 ) @ SV86 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
= ( SV120 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2358]) ).
thf(2407,plain,
! [SV86: hF_Mirabelle_hf,SV151: hF_Mirabelle_hf,SV120: hF_Mirabelle_hf > hF_Mirabelle_hf,SV37: hF_Mirabelle_hf] :
( ( ( SV37
= ( SV120 @ ( sK44_SY420 @ SV151 @ SV120 @ SV37 @ SV86 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV151 @ SV86 )
= $false )
| ( ( SV37
= ( SV120 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2359]) ).
thf(2408,plain,
! [SV88: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2360]) ).
thf(2409,plain,
! [SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $false )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2361]) ).
thf(2410,plain,
! [SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV40: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV40 @ SV122 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2362]) ).
thf(2411,plain,
! [SV40: hF_Mirabelle_hf,SV122: hF_Mirabelle_hf > $o,SV144: hF_Mirabelle_hf > $o,SV88: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $true )
| ( ( hF_Mirabelle_HBex @ SV88 @ SV144 )
= $false )
| ( ( SV122 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV144 @ ( sK26_SY452 @ SV40 @ SV144 @ SV122 @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2363]) ).
thf(2412,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK45_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2364]) ).
thf(2413,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ ( sK45_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2365]) ).
thf(2414,plain,
! [SV178: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2366]) ).
thf(2415,plain,
! [SV178: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2366]) ).
thf(2416,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK48_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2367]) ).
thf(2417,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV93 @ ( sK48_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2367]) ).
thf(2418,plain,
! [SV181: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2368]) ).
thf(2419,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK50_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK50_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2369]) ).
thf(2420,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) ) )
= $true )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2370]) ).
thf(2421,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK49_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2371]) ).
thf(2422,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV93 @ ( sK49_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2371]) ).
thf(2423,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2372]) ).
thf(2424,plain,
! [SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2373]) ).
thf(2425,plain,
! [SV152: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2373]) ).
thf(2426,plain,
! [SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2374]) ).
thf(2427,plain,
! [SV152: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf] :
( ( ( ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2375]) ).
thf(2428,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf,SV156: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK51_SY455 @ SV156 @ SV145 @ SV53 ) @ SV53 )
| ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK51_SY455 @ SV156 @ SV145 @ SV53 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2376]) ).
thf(2429,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV179 @ SV56 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV179 @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2377]) ).
thf(2430,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV179 @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV179 @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2378]) ).
thf(2431,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV179 @ SV56 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV179 @ SV133 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2379]) ).
thf(2432,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV179: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV179 @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV179 @ SV133 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2380]) ).
thf(2433,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV188 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV188 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV188 @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2381]) ).
thf(2434,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV188 @ SV56 )
| ~ ( hF_Mirabelle_hmem @ SV188 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV188 @ SV133 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2382]) ).
thf(2435,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2383]) ).
thf(2436,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2384]) ).
thf(2437,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV180 @ SV11 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2385]) ).
thf(2438,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2385]) ).
thf(2439,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV180 @ SV11 ) )
= $false )
| ( ( SV180 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2386]) ).
thf(2440,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) ) )
= $false )
| ( ( SV180 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2386]) ).
thf(2441,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV189 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2387]) ).
thf(2442,plain,
! [SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV189 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2388]) ).
thf(2443,plain,
! [SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( SV189 = SV62 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV189 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2388]) ).
thf(2444,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV190 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2389]) ).
thf(2445,plain,
! [SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV190 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2390]) ).
thf(2446,plain,
! [SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( SV190 = SV62 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV190 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2390]) ).
thf(2447,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK52_SY472 @ SV163 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK52_SY472 @ SV163 @ SV71 @ SV21 ) @ SV163 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2391]) ).
thf(2448,plain,
! [SV21: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2392]) ).
thf(2449,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK54_SY475 @ SV169 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK54_SY475 @ SV169 @ SV71 @ SV21 ) @ SV169 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2393]) ).
thf(2450,plain,
! [SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( ~ ( SV71 @ SV192 @ SV169 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2394]) ).
thf(2451,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK56_SY477 @ SV176 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK56_SY477 @ SV176 @ SV71 @ SV21 ) @ SV176 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2395]) ).
thf(2452,plain,
! [SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV194 @ SV21 ) )
= $true )
| ( ( ~ ( SV71 @ SV194 @ SV176 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2396]) ).
thf(2453,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK55_SY476 @ SV170 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK55_SY476 @ SV170 @ SV71 @ SV21 ) @ SV170 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2397]) ).
thf(2454,plain,
! [SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( ~ ( SV71 @ SV193 @ SV170 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2398]) ).
thf(2455,plain,
! [SV80: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o,SV153: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK47_SY446 @ SV153 @ SV142 @ SV80 ) @ SV80 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( SV142 @ SV153 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2403]) ).
thf(2456,plain,
! [SV80: hF_Mirabelle_hf,SV153: hF_Mirabelle_hf,SV142: hF_Mirabelle_hf > $o] :
( ( ( SV142 @ ( sK47_SY446 @ SV153 @ SV142 @ SV80 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV153 @ SV80 )
= $false )
| ( ( SV142 @ SV153 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2404]) ).
thf(2457,plain,
! [SV34: hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV160: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK53_SY457 @ SV160 @ SV84 @ SV148 @ SV34 ) @ SV34 )
| ( SV148
!= ( SV84 @ ( sK53_SY457 @ SV160 @ SV84 @ SV148 @ SV34 ) ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
= ( SV84 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2405]) ).
thf(2458,plain,
! [SV178: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2414]) ).
thf(2459,plain,
! [SV178: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2415]) ).
thf(2460,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK48_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2416]) ).
thf(2461,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ ( sK48_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2417]) ).
thf(2462,plain,
! [SV181: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2418]) ).
thf(2463,plain,
! [SV181: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2418]) ).
thf(2464,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK50_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2419]) ).
thf(2465,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV93 @ ( sK50_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2419]) ).
thf(2466,plain,
! [SV187: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
| ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2420]) ).
thf(2467,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK49_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2421]) ).
thf(2468,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ ( sK49_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2422]) ).
thf(2469,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2423]) ).
thf(2470,plain,
! [SV182: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2423]) ).
thf(2471,plain,
! [SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV47 @ ( hF_Mirabelle_Replace @ SV95 @ SV126 ) )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2424]) ).
thf(2472,plain,
! [SV152: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf] :
( ( ( ~ ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2425]) ).
thf(2473,plain,
! [SV152: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf] :
( ( ( ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2427]) ).
thf(2474,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf,SV156: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK51_SY455 @ SV156 @ SV145 @ SV53 ) @ SV53 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2428]) ).
thf(2475,plain,
! [SV53: hF_Mirabelle_hf,SV156: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV145 @ ( sK51_SY455 @ SV156 @ SV145 @ SV53 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2428]) ).
thf(2476,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV188 @ SV56 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV188 @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2433]) ).
thf(2477,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV188 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV188 @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2433]) ).
thf(2478,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV188 @ SV56 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV188 @ SV133 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2434]) ).
thf(2479,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV188 @ SV133 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV188 @ SV133 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2434]) ).
thf(2480,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
= $true )
| ( ( SV180 = SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2436]) ).
thf(2481,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2437]) ).
thf(2482,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2438]) ).
thf(2483,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV180 @ SV11 )
= $true )
| ( ( SV180 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2439]) ).
thf(2484,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
| ( SV180 = SV62 ) )
= $true )
| ( ( SV180 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2440]) ).
thf(2485,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV189 @ SV11 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2441]) ).
thf(2486,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2441]) ).
thf(2487,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV189 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2442]) ).
thf(2488,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV189 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) )
= $false )
| ( ( SV189 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2443]) ).
thf(2489,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV190 @ SV11 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2444]) ).
thf(2490,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2444]) ).
thf(2491,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV190 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2445]) ).
thf(2492,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV190 @ SV11 )
| ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) )
= $false )
| ( ( SV190 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2446]) ).
thf(2493,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK52_SY472 @ SV163 @ SV71 @ SV21 ) @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2447]) ).
thf(2494,plain,
! [SV21: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV71 @ ( sK52_SY472 @ SV163 @ SV71 @ SV21 ) @ SV163 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2447]) ).
thf(2495,plain,
! [SV191: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2448]) ).
thf(2496,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK54_SY475 @ SV169 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK54_SY475 @ SV169 @ SV71 @ SV21 ) @ SV169 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2449]) ).
thf(2497,plain,
! [SV21: hF_Mirabelle_hf,SV169: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2450]) ).
thf(2498,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK56_SY477 @ SV176 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK56_SY477 @ SV176 @ SV71 @ SV21 ) @ SV176 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2451]) ).
thf(2499,plain,
! [SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( ~ ( SV71 @ SV194 @ SV176 ) )
= $true )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2452]) ).
thf(2500,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK55_SY476 @ SV170 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK55_SY476 @ SV170 @ SV71 @ SV21 ) @ SV170 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2453]) ).
thf(2501,plain,
! [SV21: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) ) )
= $true )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2454]) ).
thf(2502,plain,
! [SV34: hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV160: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK53_SY457 @ SV160 @ SV84 @ SV148 @ SV34 ) @ SV34 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
= ( SV84 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2457]) ).
thf(2503,plain,
! [SV34: hF_Mirabelle_hf,SV160: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( SV148
!= ( SV84 @ ( sK53_SY457 @ SV160 @ SV84 @ SV148 @ SV34 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
= ( SV84 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2457]) ).
thf(2504,plain,
! [SV178: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2459]) ).
thf(2505,plain,
! [SV181: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2462]) ).
thf(2506,plain,
! [SV181: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2463]) ).
thf(2507,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK50_SY428 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2464]) ).
thf(2508,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ ( sK50_SY428 @ SV125 @ SV93 @ SV45 ) @ SV125 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2465]) ).
thf(2509,plain,
! [SV187: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2466]) ).
thf(2510,plain,
! [SV187: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2466]) ).
thf(2511,plain,
! [SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2469]) ).
thf(2512,plain,
! [SV182: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2470]) ).
thf(2513,plain,
! [SV152: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV95: hF_Mirabelle_hf] :
( ( ( ! [SY429: hF_Mirabelle_hf] :
~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ SY429 @ SV95 )
| ~ ( SV126 @ SY429 @ SV47 ) )
| ~ ! [SY430: hF_Mirabelle_hf] :
( ~ ( SV126 @ SY429 @ SY430 )
| ( SY430 = SV47 ) ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2472]) ).
thf(2514,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
| ~ ! [SY478: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SY478 )
| ( SY478 = SV47 ) ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2473]) ).
thf(2515,plain,
! [SV53: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf,SV156: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK51_SY455 @ SV156 @ SV145 @ SV53 ) @ SV53 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2474]) ).
thf(2516,plain,
! [SV53: hF_Mirabelle_hf,SV156: hF_Mirabelle_hf,SV145: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV145 @ ( sK51_SY455 @ SV156 @ SV145 @ SV53 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV156 @ SV53 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV145 @ SV156 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2475]) ).
thf(2517,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV188 @ SV56 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV188 @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2476]) ).
thf(2518,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV188 @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV188 @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2477]) ).
thf(2519,plain,
! [SV133: hF_Mirabelle_hf,SV56: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV188 @ SV56 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV188 @ SV133 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2478]) ).
thf(2520,plain,
! [SV56: hF_Mirabelle_hf,SV133: hF_Mirabelle_hf,SV188: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV188 @ SV133 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV188 @ SV133 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV56 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK21_SY434 @ SV133 @ SV56 ) @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2479]) ).
thf(2521,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
= $true )
| ( ( SV180 = SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2482]) ).
thf(2522,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV180: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV180 @ SV108 )
= $true )
| ( ( SV180 = SV62 )
= $true )
| ( ( SV180 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $true )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2484]) ).
thf(2523,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2485]) ).
thf(2524,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2486]) ).
thf(2525,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV189 @ SV11 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2487]) ).
thf(2526,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2487]) ).
thf(2527,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV189 @ SV11 ) )
= $false )
| ( ( SV189 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2488]) ).
thf(2528,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) ) )
= $false )
| ( ( SV189 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2488]) ).
thf(2529,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2489]) ).
thf(2530,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2490]) ).
thf(2531,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV190 @ SV11 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2491]) ).
thf(2532,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2491]) ).
thf(2533,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV190 @ SV11 ) )
= $false )
| ( ( SV190 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2492]) ).
thf(2534,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ~ ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) ) )
= $false )
| ( ( SV190 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2492]) ).
thf(2535,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK52_SY472 @ SV163 @ SV71 @ SV21 ) @ SV21 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2493]) ).
thf(2536,plain,
! [SV21: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ ( sK52_SY472 @ SV163 @ SV71 @ SV21 ) @ SV163 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2494]) ).
thf(2537,plain,
! [SV191: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2495]) ).
thf(2538,plain,
! [SV191: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2495]) ).
thf(2539,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK54_SY475 @ SV169 @ SV71 @ SV21 ) @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2496]) ).
thf(2540,plain,
! [SV21: hF_Mirabelle_hf,SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV71 @ ( sK54_SY475 @ SV169 @ SV71 @ SV21 ) @ SV169 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2496]) ).
thf(2541,plain,
! [SV192: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2497]) ).
thf(2542,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK56_SY477 @ SV176 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK56_SY477 @ SV176 @ SV71 @ SV21 ) @ SV176 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2498]) ).
thf(2543,plain,
! [SV21: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( ~ ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) ) )
= $true )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2499]) ).
thf(2544,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK55_SY476 @ SV170 @ SV71 @ SV21 ) @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2500]) ).
thf(2545,plain,
! [SV21: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV71 @ ( sK55_SY476 @ SV170 @ SV71 @ SV21 ) @ SV170 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2500]) ).
thf(2546,plain,
! [SV193: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2501]) ).
thf(2547,plain,
! [SV34: hF_Mirabelle_hf,SV148: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV160: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK53_SY457 @ SV160 @ SV84 @ SV148 @ SV34 ) @ SV34 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
= ( SV84 @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2502]) ).
thf(2548,plain,
! [SV34: hF_Mirabelle_hf,SV160: hF_Mirabelle_hf,SV84: hF_Mirabelle_hf > hF_Mirabelle_hf,SV148: hF_Mirabelle_hf] :
( ( ( SV148
= ( SV84 @ ( sK53_SY457 @ SV160 @ SV84 @ SV148 @ SV34 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV160 @ SV34 )
= $false )
| ( ( SV148
= ( SV84 @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2503]) ).
thf(2549,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV178: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK58_SY428 @ SV178 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK58_SY428 @ SV178 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2504]) ).
thf(2550,plain,
! [SV181: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2506]) ).
thf(2551,plain,
! [SV187: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV125 @ ( hF_Mir1248913145eplace @ SV45 @ SV93 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2509]) ).
thf(2552,plain,
! [SV187: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ~ ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2510]) ).
thf(2553,plain,
! [SV182: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2512]) ).
thf(2554,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
| ~ ! [SY479: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SY479 )
| ( SY479 = SV47 ) ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2513]) ).
thf(2555,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
| ~ ! [SY478: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SY478 )
| ( SY478 = SV47 ) ) ) )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2514]) ).
thf(2556,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
= $true )
| ( ( SV189 = SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2524]) ).
thf(2557,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2525]) ).
thf(2558,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2526]) ).
thf(2559,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV189 @ SV11 )
= $true )
| ( ( SV189 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2527]) ).
thf(2560,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
| ( SV189 = SV62 ) )
= $true )
| ( ( SV189 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2528]) ).
thf(2561,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
= $true )
| ( ( SV190 = SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2530]) ).
thf(2562,plain,
! [SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2531]) ).
thf(2563,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2532]) ).
thf(2564,plain,
! [SV108: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV11: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV190 @ SV11 )
= $true )
| ( ( SV190 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2533]) ).
thf(2565,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
| ( SV190 = SV62 ) )
= $true )
| ( ( SV190 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2534]) ).
thf(2566,plain,
! [SV191: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV163 @ ( sK33_SY350 @ SV71 @ SV21 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2537]) ).
thf(2567,plain,
! [SV191: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2538]) ).
thf(2568,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK54_SY475 @ SV169 @ SV71 @ SV21 ) @ SV21 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2539]) ).
thf(2569,plain,
! [SV21: hF_Mirabelle_hf,SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ ( sK54_SY475 @ SV169 @ SV71 @ SV21 ) @ SV169 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2540]) ).
thf(2570,plain,
! [SV192: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2541]) ).
thf(2571,plain,
! [SV192: hF_Mirabelle_hf,SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2541]) ).
thf(2572,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK56_SY477 @ SV176 @ SV71 @ SV21 ) @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2542]) ).
thf(2573,plain,
! [SV21: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV71 @ ( sK56_SY477 @ SV176 @ SV71 @ SV21 ) @ SV176 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2542]) ).
thf(2574,plain,
! [SV194: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
| ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2543]) ).
thf(2575,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK55_SY476 @ SV170 @ SV71 @ SV21 ) @ SV21 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2544]) ).
thf(2576,plain,
! [SV21: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ ( sK55_SY476 @ SV170 @ SV71 @ SV21 ) @ SV170 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2545]) ).
thf(2577,plain,
! [SV193: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2546]) ).
thf(2578,plain,
! [SV193: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2546]) ).
thf(2579,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV178: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK58_SY428 @ SV178 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK58_SY428 @ SV178 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2549]) ).
thf(2580,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV181: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK60_SY428 @ SV181 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK60_SY428 @ SV181 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2550]) ).
thf(2581,plain,
! [SV187: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV45: hF_Mirabelle_hf] :
( ( ( ! [SY428: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY428 @ SV45 )
| ~ ( SV93 @ SY428 @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2552]) ).
thf(2582,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK61_SY428 @ SV182 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK61_SY428 @ SV182 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2553]) ).
thf(2583,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
| ~ ! [SY479: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SY479 )
| ( SY479 = SV47 ) ) ) )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2554]) ).
thf(2584,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
| ~ ! [SY478: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SY478 )
| ( SY478 = SV47 ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2555]) ).
thf(2585,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
= $true )
| ( ( SV189 = SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2558]) ).
thf(2586,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV189: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV189 @ SV108 )
= $true )
| ( ( SV189 = SV62 )
= $true )
| ( ( SV189 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2560]) ).
thf(2587,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
= $true )
| ( ( SV190 = SV62 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2563]) ).
thf(2588,plain,
! [SV11: hF_Mirabelle_hf,SV62: hF_Mirabelle_hf,SV108: hF_Mirabelle_hf,SV190: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV190 @ SV108 )
= $true )
| ( ( SV190 = SV62 )
= $true )
| ( ( SV190 = SV62 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK18_SY407 @ SV62 @ SV108 @ SV11 ) @ SV11 )
= $false )
| ( ( ( sK18_SY407 @ SV62 @ SV108 @ SV11 )
= SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2565]) ).
thf(2589,plain,
! [SV191: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY472: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY472 @ SV21 )
| ~ ( SV71 @ SY472 @ SV163 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2567]) ).
thf(2590,plain,
! [SV192: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV169 @ ( sK35_SY350 @ SV71 @ SV21 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2570]) ).
thf(2591,plain,
! [SV192: hF_Mirabelle_hf,SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2571]) ).
thf(2592,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK56_SY477 @ SV176 @ SV71 @ SV21 ) @ SV21 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2572]) ).
thf(2593,plain,
! [SV21: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ ( sK56_SY477 @ SV176 @ SV71 @ SV21 ) @ SV176 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2573]) ).
thf(2594,plain,
! [SV194: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2574]) ).
thf(2595,plain,
! [SV194: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2574]) ).
thf(2596,plain,
! [SV193: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV170 @ ( sK36_SY350 @ SV71 @ SV21 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2577]) ).
thf(2597,plain,
! [SV193: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2578]) ).
thf(2598,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV178: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK58_SY428 @ SV178 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK58_SY428 @ SV178 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2579]) ).
thf(2599,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV181: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK60_SY428 @ SV181 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK60_SY428 @ SV181 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2580]) ).
thf(2600,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK62_SY428 @ SV187 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK62_SY428 @ SV187 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2581]) ).
thf(2601,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK61_SY428 @ SV182 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK61_SY428 @ SV182 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2582]) ).
thf(2602,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
| ~ ! [SY479: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SY479 )
| ( SY479 = SV47 ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2583]) ).
thf(2603,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2584]) ).
thf(2604,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY478: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SY478 )
| ( SY478 = SV47 ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2584]) ).
thf(2605,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK63_SY472 @ SV191 @ SV163 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK63_SY472 @ SV191 @ SV163 @ SV71 @ SV21 ) @ SV163 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2589]) ).
thf(2606,plain,
! [SV192: hF_Mirabelle_hf,SV169: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY475: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY475 @ SV21 )
| ~ ( SV71 @ SY475 @ SV169 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2591]) ).
thf(2607,plain,
! [SV194: hF_Mirabelle_hf,SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ SV176 @ ( sK39_SY350 @ SV71 @ SV21 ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2594]) ).
thf(2608,plain,
! [SV194: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ~ ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2595]) ).
thf(2609,plain,
! [SV193: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY476: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY476 @ SV21 )
| ~ ( SV71 @ SY476 @ SV170 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2597]) ).
thf(2610,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV178: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK58_SY428 @ SV178 @ SV125 @ SV93 @ SV45 ) @ SV45 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2598]) ).
thf(2611,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV178: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV93 @ ( sK58_SY428 @ SV178 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2598]) ).
thf(2612,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV181: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK60_SY428 @ SV181 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK60_SY428 @ SV181 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2599]) ).
thf(2613,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK62_SY428 @ SV187 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK62_SY428 @ SV187 @ SV125 @ SV93 @ SV45 ) @ SV125 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2600]) ).
thf(2614,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK61_SY428 @ SV182 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK61_SY428 @ SV182 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2601]) ).
thf(2615,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2602]) ).
thf(2616,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ! [SY479: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SY479 )
| ( SY479 = SV47 ) ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2602]) ).
thf(2617,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) ) )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2603]) ).
thf(2618,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ! [SY478: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SY478 )
| ( SY478 = SV47 ) ) )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2604]) ).
thf(2619,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK63_SY472 @ SV191 @ SV163 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK63_SY472 @ SV191 @ SV163 @ SV71 @ SV21 ) @ SV163 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2605]) ).
thf(2620,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK64_SY475 @ SV192 @ SV169 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK64_SY475 @ SV192 @ SV169 @ SV71 @ SV21 ) @ SV169 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2606]) ).
thf(2621,plain,
! [SV194: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV21: hF_Mirabelle_hf] :
( ( ( ! [SY477: hF_Mirabelle_hf] :
~ ~ ( ~ ( hF_Mirabelle_hmem @ SY477 @ SV21 )
| ~ ( SV71 @ SY477 @ SV176 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2608]) ).
thf(2622,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK65_SY476 @ SV193 @ SV170 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK65_SY476 @ SV193 @ SV170 @ SV71 @ SV21 ) @ SV170 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2609]) ).
thf(2623,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV178: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK58_SY428 @ SV178 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2610]) ).
thf(2624,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV178: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ ( sK58_SY428 @ SV178 @ SV125 @ SV93 @ SV45 ) @ SV125 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV178 @ SV45 )
= $false )
| ( ( SV93 @ SV178 @ SV125 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2611]) ).
thf(2625,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV181: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK60_SY428 @ SV181 @ SV125 @ SV93 @ SV45 ) @ SV45 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2612]) ).
thf(2626,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV181: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV93 @ ( sK60_SY428 @ SV181 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2612]) ).
thf(2627,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK62_SY428 @ SV187 @ SV125 @ SV93 @ SV45 ) @ SV45 )
| ~ ( SV93 @ ( sK62_SY428 @ SV187 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2613]) ).
thf(2628,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK61_SY428 @ SV182 @ SV125 @ SV93 @ SV45 ) @ SV45 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2614]) ).
thf(2629,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV93 @ ( sK61_SY428 @ SV182 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2614]) ).
thf(2630,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) ) )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2615]) ).
thf(2631,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ! [SY479: hF_Mirabelle_hf] :
( ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SY479 )
| ( SY479 = SV47 ) ) )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2616]) ).
thf(2632,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2617]) ).
thf(2633,plain,
! [SV195: hF_Mirabelle_hf,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV195 )
| ( SV195 = SV47 ) )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2618]) ).
thf(2634,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK63_SY472 @ SV191 @ SV163 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK63_SY472 @ SV191 @ SV163 @ SV71 @ SV21 ) @ SV163 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2619]) ).
thf(2635,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK64_SY475 @ SV192 @ SV169 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK64_SY475 @ SV192 @ SV169 @ SV71 @ SV21 ) @ SV169 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2620]) ).
thf(2636,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf] :
( ( ( ~ ~ ( ~ ( hF_Mirabelle_hmem @ ( sK66_SY477 @ SV194 @ SV176 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK66_SY477 @ SV194 @ SV176 @ SV71 @ SV21 ) @ SV176 ) ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2621]) ).
thf(2637,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK65_SY476 @ SV193 @ SV170 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK65_SY476 @ SV193 @ SV170 @ SV71 @ SV21 ) @ SV170 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2622]) ).
thf(2638,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV181: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK60_SY428 @ SV181 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2625]) ).
thf(2639,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV181: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ ( sK60_SY428 @ SV181 @ SV125 @ SV93 @ SV45 ) @ SV125 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV181 @ SV45 )
= $false )
| ( ( SV93 @ SV181 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2626]) ).
thf(2640,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK62_SY428 @ SV187 @ SV125 @ SV93 @ SV45 ) @ SV45 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2627]) ).
thf(2641,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV93 @ ( sK62_SY428 @ SV187 @ SV125 @ SV93 @ SV45 ) @ SV125 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2627]) ).
thf(2642,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK61_SY428 @ SV182 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2628]) ).
thf(2643,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV182: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ ( sK61_SY428 @ SV182 @ SV125 @ SV93 @ SV45 ) @ SV125 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV182 @ SV45 )
= $false )
| ( ( SV93 @ SV182 @ SV125 )
= $false )
| ( ( ( sK20_SY462 @ SV45 @ SV93 @ SV125 )
= ( sK17_SY459 @ SV45 @ SV93 @ SV125 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2629]) ).
thf(2644,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
| ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2630]) ).
thf(2645,plain,
! [SV196: hF_Mirabelle_hf,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV196 )
| ( SV196 = SV47 ) )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2631]) ).
thf(2646,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2632]) ).
thf(2647,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2632]) ).
thf(2648,plain,
! [SV195: hF_Mirabelle_hf,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV195 ) )
= $true )
| ( ( SV195 = SV47 )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2633]) ).
thf(2649,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK63_SY472 @ SV191 @ SV163 @ SV71 @ SV21 ) @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2634]) ).
thf(2650,plain,
! [SV21: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV71 @ ( sK63_SY472 @ SV191 @ SV163 @ SV71 @ SV21 ) @ SV163 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2634]) ).
thf(2651,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK64_SY475 @ SV192 @ SV169 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK64_SY475 @ SV192 @ SV169 @ SV71 @ SV21 ) @ SV169 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2635]) ).
thf(2652,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf] :
( ( ( ~ ( ~ ( hF_Mirabelle_hmem @ ( sK66_SY477 @ SV194 @ SV176 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK66_SY477 @ SV194 @ SV176 @ SV71 @ SV21 ) @ SV176 ) ) )
= $true )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2636]) ).
thf(2653,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK65_SY476 @ SV193 @ SV170 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK65_SY476 @ SV193 @ SV170 @ SV71 @ SV21 ) @ SV170 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2637]) ).
thf(2654,plain,
! [SV45: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV125: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK62_SY428 @ SV187 @ SV125 @ SV93 @ SV45 ) @ SV45 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2640]) ).
thf(2655,plain,
! [SV45: hF_Mirabelle_hf,SV125: hF_Mirabelle_hf,SV187: hF_Mirabelle_hf,SV93: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV93 @ ( sK62_SY428 @ SV187 @ SV125 @ SV93 @ SV45 ) @ SV125 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV187 @ SV45 )
= $false )
| ( ( SV93 @ SV187 @ SV125 )
= $false )
| ( ( SV93 @ ( sK12_SY388 @ SV125 @ SV93 @ SV45 ) @ ( sK20_SY462 @ SV45 @ SV93 @ SV125 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2641]) ).
thf(2656,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2644]) ).
thf(2657,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 ) )
= $false )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2644]) ).
thf(2658,plain,
! [SV196: hF_Mirabelle_hf,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV196 ) )
= $true )
| ( ( SV196 = SV47 )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2645]) ).
thf(2659,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2646]) ).
thf(2660,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2647]) ).
thf(2661,plain,
! [SV195: hF_Mirabelle_hf,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV126 @ ( sK57_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV195 )
= $false )
| ( ( SV195 = SV47 )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 )
= SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2648]) ).
thf(2662,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV163: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK63_SY472 @ SV191 @ SV163 @ SV71 @ SV21 ) @ SV21 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2649]) ).
thf(2663,plain,
! [SV21: hF_Mirabelle_hf,SV163: hF_Mirabelle_hf,SV191: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ ( sK63_SY472 @ SV191 @ SV163 @ SV71 @ SV21 ) @ SV163 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV191 @ SV21 )
= $false )
| ( ( SV71 @ SV191 @ SV163 )
= $false )
| ( ( hF_Mirabelle_hmem @ ( sK5_SY347 @ SV71 @ SV21 ) @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2650]) ).
thf(2664,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK64_SY475 @ SV192 @ SV169 @ SV71 @ SV21 ) @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2651]) ).
thf(2665,plain,
! [SV21: hF_Mirabelle_hf,SV169: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV71 @ ( sK64_SY475 @ SV192 @ SV169 @ SV71 @ SV21 ) @ SV169 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2651]) ).
thf(2666,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK66_SY477 @ SV194 @ SV176 @ SV71 @ SV21 ) @ SV21 )
| ~ ( SV71 @ ( sK66_SY477 @ SV194 @ SV176 @ SV71 @ SV21 ) @ SV176 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2652]) ).
thf(2667,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK65_SY476 @ SV193 @ SV170 @ SV71 @ SV21 ) @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2653]) ).
thf(2668,plain,
! [SV21: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV71 @ ( sK65_SY476 @ SV193 @ SV170 @ SV71 @ SV21 ) @ SV170 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2653]) ).
thf(2669,plain,
! [SV95: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV95 )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2656]) ).
thf(2670,plain,
! [SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV47 )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2657]) ).
thf(2671,plain,
! [SV196: hF_Mirabelle_hf,SV95: hF_Mirabelle_hf,SV47: hF_Mirabelle_hf,SV152: hF_Mirabelle_hf,SV126: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV126 @ ( sK59_SY429 @ SV152 @ SV47 @ SV126 @ SV95 ) @ SV196 )
= $false )
| ( ( SV196 = SV47 )
= $true )
| ( ( SV126 @ SV152 @ SV47 )
= $false )
| ( ( hF_Mirabelle_hmem @ SV152 @ SV95 )
= $false )
| ( ( SV126 @ SV152 @ ( sK46_SY464 @ SV95 @ SV47 @ SV152 @ SV126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2658]) ).
thf(2672,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV169: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK64_SY475 @ SV192 @ SV169 @ SV71 @ SV21 ) @ SV21 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2664]) ).
thf(2673,plain,
! [SV21: hF_Mirabelle_hf,SV169: hF_Mirabelle_hf,SV192: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ ( sK64_SY475 @ SV192 @ SV169 @ SV71 @ SV21 ) @ SV169 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV192 @ SV21 )
= $false )
| ( ( SV71 @ SV192 @ SV169 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK9_SY453 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2665]) ).
thf(2674,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf] :
( ( ( ~ ( hF_Mirabelle_hmem @ ( sK66_SY477 @ SV194 @ SV176 @ SV71 @ SV21 ) @ SV21 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2675,plain,
! [SV21: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( ~ ( SV71 @ ( sK66_SY477 @ SV194 @ SV176 @ SV71 @ SV21 ) @ SV176 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2676,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV170: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK65_SY476 @ SV193 @ SV170 @ SV71 @ SV21 ) @ SV21 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2667]) ).
thf(2677,plain,
! [SV21: hF_Mirabelle_hf,SV170: hF_Mirabelle_hf,SV193: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ ( sK65_SY476 @ SV193 @ SV170 @ SV71 @ SV21 ) @ SV170 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV193 @ SV21 )
= $false )
| ( ( SV71 @ SV193 @ SV170 )
= $false )
| ( ( ( sK15_SY456 @ SV21 @ SV71 )
= ( sK9_SY453 @ SV21 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2668]) ).
thf(2678,plain,
! [SV21: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o,SV176: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( sK66_SY477 @ SV194 @ SV176 @ SV71 @ SV21 ) @ SV21 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2674]) ).
thf(2679,plain,
! [SV21: hF_Mirabelle_hf,SV176: hF_Mirabelle_hf,SV194: hF_Mirabelle_hf,SV71: hF_Mirabelle_hf > hF_Mirabelle_hf > $o] :
( ( ( SV71 @ ( sK66_SY477 @ SV194 @ SV176 @ SV71 @ SV21 ) @ SV176 )
= $true )
| ( ( hF_Mirabelle_hmem @ SV194 @ SV21 )
= $false )
| ( ( SV71 @ SV194 @ SV176 )
= $false )
| ( ( SV71 @ ( sK5_SY347 @ SV71 @ SV21 ) @ ( sK15_SY456 @ SV21 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2675]) ).
thf(2680,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[515,2679,2678,2677,2676,2673,2672,2671,2670,2669,2663,2662,2661,2660,2659,2655,2654,2643,2642,2639,2638,2624,2623,2607,2596,2593,2592,2590,2588,2587,2586,2585,2576,2575,2569,2568,2566,2564,2562,2561,2559,2557,2556,2551,2548,2547,2536,2535,2529,2523,2522,2521,2520,2519,2518,2517,2516,2515,2511,2508,2507,2505,2483,2481,2480,2471,2468,2467,2461,2460,2458,2456,2455,2435,2432,2431,2430,2429,2426,2413,2412,2411,2410,2409,2408,2407,2406,2402,2401,2400,2399,2355,2354,2345,2340,2339,2317,2316,2315,2314,2306,2305,2304,2303,2300,2294,2290,2288,2287,2282,2281,2280,2279,2256,2255,2254,2235,2229,2228,2226,2223,2222,2217,2213,2211,2210,2209,2204,2193,2192,2189,2188,2187,2172,2163,2161,2160,2155,2154,2153,2152,2149,2148,2141,2135,2132,2131,2130,2129,2125,2124,2123,2122,2112,2110,2109,2108,2107,2103,2102,2101,2100,2091,2090,2085,2083,2082,2075,2071,2070,2061,2060,2059,2058,2044,2039,2031,2027,2021,2020,2014,2002,1999,1998,1953,1952,1947,1946,1938,1930,1926,1920,1919,1918,1917,1916,1915,1914,1913,1912,1911,1910,1909,1908,1907,1906,1905,1904,1903,1902,1901,1900,1899,1898,1897,1896,1895,1894,1893,1892,1891,1890,1889,1888,1887,1886,1885,1884,1883,1882,1881,1880,1879,1878,1877,1876,1875,1874,1873,1868,1861,1841,1829,1827,1825,1819,1818,1814,1810,1809,1808,1805,1799,1797,1794,1793,1737,1728,1726,1706,1705,1702,1701,1698,1697,1686,1684,1683,1679,1675,1674,1671,1668,1666,1638,1625,1624,1621,1620,1616,1604,1601,1575,1569,1563,1562,1525,1522,1518,1509,1506,1503,1499,1476,1472,1454,1452,1447,1433,1430,1428,1427,1426,1408,1399,1385,1376,1368,1365,1363,1359,1336,1334,1333,1331,1330,1329,1328,1323,1318,1315,1312,1304,1303,1302,1295,1291,1287,1275,1263,1260,1254,1253,1252,1251,1250,1248,1246,1244,1242,1241,1240,1239,1238,1236,1234,1232,1230,1229,1228,1227,1226,1224,1222,1220,1214,1208,1206,1205,1196,1193,1180,1176,1171,1165,1160,1155,1150,1149,1145,1089,1087,1079,1078,1075,1070,1046,1035,1034,1030,1002,997,991,986,980,979,971,967,950,948,909,902,888,861,832,817,812,805,786,784,777,775,772,764,762,741,739,732,729,726,723,721,717,716,699,690,688,686,684,682,672,669,653,651,649,647,645,631,602,599,590,589,587,583,569,564,554,543,540,537,522,520,518]) ).
thf(2681,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[2680]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP075^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 11:15:53 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.05/3.75 ..
% 21.05/3.75
% 21.05/3.75 No.of.Axioms: 55
% 21.05/3.75
% 21.05/3.75 Length.of.Defs: 0
% 21.05/3.75
% 21.05/3.75 Contains.Choice.Funs: true
% 21.05/3.75 .......................................................
% 21.05/3.75
% 21.05/3.75 ********************************
% 21.05/3.75 * All subproblems solved! *
% 21.05/3.75 ********************************
% 21.05/3.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:55,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:2680,loop_count:0,foatp_calls:1,translation:fof_full)
% 21.05/3.75
% 21.05/3.75 %**** Beginning of derivation protocol ****
% 21.05/3.75 % SZS output start CNFRefutation
% See solution above
% 21.05/3.77
% 21.05/3.77 %**** End of derivation protocol ****
% 21.05/3.77 %**** no. of clauses in derivation: 2382 ****
% 21.05/3.77 %**** clause counter: 2680 ****
% 21.05/3.77
% 21.05/3.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:55,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:2680,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------